[00m00s] # maximum alphabet 5 [00m00s] # 4 orders for alphabet 2 [00m00s] # 24 orders for alphabet 3 [00m00s] # 192 orders for alphabet 4 [00m00s] # 1920 orders for alphabet 5 [00m00s] # total:28551 rss:52788kb [00m00s] # n: presentation: invariants: order: extra: strategy: complete: [00m00s] # 1 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:2,nodes:4,pairs:1,completionMax:6us [00m00s] 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] # 2 solved: rounds:0,rules:2,peak:2,longest:2,steps:0,word:0,work:0,nodes:6,pairs:0,completionMax:0us [00m00s] 2 ab:aa=1,bb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] # 3 solved: rounds:0,rules:2,peak:2,longest:2,steps:0,word:0,work:0,nodes:6,pairs:0,completionMax:9us [00m00s] 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] # 4 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:9,nodes:4,pairs:2,completionMax:2us [00m00s] 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] # 5 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [00m00s] 5 ab:aa=a,bb=1 infinite ab - - ab:aa=a,bb=1 [00m00s] # 6 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:1,work:2,nodes:6,pairs:0,completionMax:3us [00m00s] 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] # 7 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:2,work:4,nodes:8,pairs:0,completionMax:3us [00m00s] 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] # 8 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:14,nodes:6,pairs:3,completionMax:3us [00m00s] 8 ab:ab=a,ba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 8 ab:ab=a,ba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 9 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:6,pairs:0,completionMax:1us [00m00s] 9 ab:ab=a,bb=1 infinite ab - - ab:ab=a,bb=1 [00m00s] # 10 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:2,nodes:6,pairs:1,completionMax:1us [00m00s] 10 ab:ab=b,bb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 10 ab:ab=b,bb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 11 solved: rounds:0,rules:1,peak:2,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:2us [00m00s] 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] # 12 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 12 ab:aa=1,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 12 ab:aa=1,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 13 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:7,completionMax:17us [00m00s] 13 ab:aa=1,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 13 ab:aa=1,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 14 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:12,nodes:8,pairs:4,completionMax:10us [00m00s] 14 ab:aa=1,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 14 ab:aa=1,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 15 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:27,nodes:10,pairs:3,completionMax:16us [00m00s] 15 ab:aa=1,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 15 ab:aa=1,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 16 solved: rounds:0,rules:2,peak:2,longest:3,steps:0,word:0,work:0,nodes:8,pairs:0,completionMax:1us [00m00s] 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] # 17 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:10us [00m00s] 17 ab:ab=1,aaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 17 ab:ab=1,aaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 18 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:3,nodes:4,pairs:1,completionMax:5us [00m00s] 18 ab:ab=1,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 18 ab:ab=1,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 19 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:4,pairs:1,completionMax:1us [00m00s] 19 ab:ab=1,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 19 ab:ab=1,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 20 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:35,nodes:8,pairs:8,completionMax:13us [00m00s] 20 ab:ab=1,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 20 ab:ab=1,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 21 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:23,nodes:8,pairs:3,completionMax:24us [00m00s] 21 ab:ab=aa,ba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 21 ab:ab=aa,ba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 22 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:1,completionMax:7us [00m00s] 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba ab - - ab:ab=aa,bb=1,aaa=a [00m00s] # 23 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:ba=ab,bb=1 [00m00s] # 24 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:2,completionMax:6us [00m00s] 24 ab:aaa=1,aab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 24 ab:aaa=1,aab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 25 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:10,pairs:7,completionMax:23us [00m00s] 25 ab:aaa=1,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 25 ab:aaa=1,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 26 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:53,nodes:16,pairs:5,completionMax:27us [00m00s] 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] # 27 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:98,nodes:12,pairs:8,completionMax:36us [00m00s] 27 ab:aaa=1,bab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 27 ab:aaa=1,bab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 28 solved: rounds:0,rules:2,peak:2,longest:3,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:3us [00m00s] 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] # 29 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:6us [00m00s] 29 ab:aab=1,aba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 29 ab:aab=1,aba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 30 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:8,pairs:3,completionMax:13us [00m00s] 30 ab:aab=1,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 30 ab:aab=1,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 31 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:13us [00m00s] 31 ab:aab=1,baa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 31 ab:aab=1,baa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 32 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:46,nodes:10,pairs:8,completionMax:17us [00m00s] 32 ab:aab=1,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 32 ab:aab=1,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 33 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:63,nodes:10,pairs:8,completionMax:26us [00m00s] 33 ab:aab=1,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 33 ab:aab=1,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 34 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:10,pairs:7,completionMax:18us [00m00s] 34 ab:aba=1,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 34 ab:aba=1,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 35 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:4us [00m00s] 35 ab:aa=a,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 35 ab:aa=a,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 36 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:11,nodes:4,pairs:2,completionMax:8us [00m00s] 36 ab:aa=a,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 36 ab:aa=a,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 37 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:5,completionMax:12us [00m00s] 37 ab:aa=a,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 37 ab:aa=a,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 38 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:10us [00m00s] 38 ab:aa=a,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 38 ab:aa=a,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 39 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:7,completionMax:10us [00m00s] 39 ab:aa=a,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 39 ab:aa=a,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 40 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 40 ab:aa=a,bbb=1 infinite ab - - ab:aa=a,bbb=1 [00m00s] # 41 solved: rounds:0,rules:2,peak:2,longest:3,steps:0,word:0,work:0,nodes:6,pairs:0,completionMax:1us [00m00s] 41 ab:aa=b,aaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 41 ab:aa=b,aaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 42 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:3,nodes:8,pairs:0,completionMax:2us [00m00s] 42 ab:aa=b,aab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 42 ab:aa=b,aab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 43 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:2,nodes:8,pairs:0,completionMax:1us [00m00s] 43 ab:aa=b,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 43 ab:aa=b,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 44 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:6,nodes:10,pairs:0,completionMax:5us [00m00s] 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] # 45 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:5,nodes:10,pairs:0,completionMax:4us [00m00s] 45 ab:aa=b,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 45 ab:aa=b,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 46 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:9,nodes:12,pairs:0,completionMax:6us [00m00s] 46 ab:aa=b,bbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 46 ab:aa=b,bbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 47 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:10us [00m00s] 47 ab:ab=a,aaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 47 ab:ab=a,aaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 48 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:5,nodes:4,pairs:1,completionMax:14us [00m00s] 48 ab:ab=a,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 48 ab:ab=a,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 49 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:8us [00m00s] 49 ab:ab=a,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 49 ab:ab=a,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 50 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:2us [00m00s] 50 ab:ab=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 50 ab:ab=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 51 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:24,nodes:10,pairs:3,completionMax:13us [00m00s] 51 ab:ab=a,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 51 ab:ab=a,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 52 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:17,nodes:6,pairs:3,completionMax:5us [00m00s] 52 ab:ab=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 52 ab:ab=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 53 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:21,nodes:8,pairs:4,completionMax:13us [00m00s] 53 ab:ab=a,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 53 ab:ab=a,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 54 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 54 ab:ab=a,bbb=1 infinite ab - - ab:ab=a,bbb=1 [00m00s] # 55 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:8,nodes:4,pairs:0,completionMax:6us [00m00s] 55 ab:aa=a,ab=a infinite ab - - ab:aa=a,ab=a [00m00s] # 56 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:8,nodes:4,pairs:0,completionMax:3us [00m00s] 56 ab:aa=a,ab=b infinite ab - - ab:aa=a,ab=b [00m00s] # 57 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:2,work:34,nodes:8,pairs:2,completionMax:14us [00m00s] 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [00m00s] # 58 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:8,nodes:6,pairs:0,completionMax:4us [00m00s] 58 ab:aa=a,bb=b infinite ab - - ab:aa=a,bb=b [00m00s] # 59 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:1,work:8,nodes:6,pairs:0,completionMax:4us [00m00s] 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] # 60 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:1,work:21,nodes:6,pairs:0,completionMax:3us [00m00s] 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m00s] # 61 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:2,work:12,nodes:8,pairs:0,completionMax:5us [00m00s] 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] # 62 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:4us [00m00s] 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] # 63 solved: rounds:1,rules:4,peak:4,longest:2,steps:1,word:0,work:28,nodes:6,pairs:2,completionMax:12us [00m00s] 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] # 64 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:3us [00m00s] 64 ab:aa=1,aaaa=1 infinite ab - - ab:aa=1 [00m00s] # 65 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:7us [00m00s] 65 ab:aa=1,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 65 ab:aa=1,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 66 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:4us [00m00s] 66 ab:aa=1,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 66 ab:aa=1,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 67 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:6,pairs:0,completionMax:1us [00m00s] 67 ab:aa=1,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 67 ab:aa=1,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 68 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:12,pairs:1,completionMax:21us [00m00s] 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] # 69 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:40,nodes:12,pairs:7,completionMax:28us [00m00s] 69 ab:aa=1,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 69 ab:aa=1,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 70 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:17,nodes:12,pairs:4,completionMax:23us [00m00s] 70 ab:aa=1,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 70 ab:aa=1,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 71 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:2us [00m00s] 71 ab:aa=1,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 71 ab:aa=1,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 72 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:176,nodes:16,pairs:6,completionMax:34us [00m00s] 72 ab:aa=1,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 72 ab:aa=1,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 73 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [00m00s] 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] # 74 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:11us [00m00s] 74 ab:ab=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 74 ab:ab=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 75 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:4,pairs:1,completionMax:5us [00m00s] 75 ab:ab=1,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 75 ab:ab=1,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 76 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:5,nodes:4,pairs:1,completionMax:2us [00m00s] 76 ab:ab=1,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 76 ab:ab=1,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 77 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [00m00s] 77 ab:ab=1,aabb=1 infinite ab - - ab:ab=1 [00m00s] # 78 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:3us [00m00s] 78 ab:ab=1,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 78 ab:ab=1,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 79 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:2us [00m00s] 79 ab:ab=1,abab=1 infinite ab - - ab:ab=1 [00m00s] from: 79 ab:ab=1,abab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 80 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:6,pairs:0,completionMax:4us [00m00s] 80 ab:ab=1,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 80 ab:ab=1,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 81 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:67,nodes:12,pairs:9,completionMax:33us [00m00s] 81 ab:ab=1,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 81 ab:ab=1,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 82 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [00m00s] 82 ab:ab=1,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 82 ab:ab=1,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 83 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:10,nodes:12,pairs:6,completionMax:17us [00m00s] 83 ab:ab=1,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 83 ab:ab=1,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 84 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 84 ab:aa=1,aaa=a infinite ab - - ab:aa=1 [00m00s] from: 84 ab:aa=1,aaa=a infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 85 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 85 ab:aa=1,aaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 85 ab:aa=1,aaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 86 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 86 ab:aa=1,aab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 86 ab:aa=1,aab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 87 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 87 ab:aa=1,aab=b infinite ab - - ab:aa=1 [00m00s] from: 87 ab:aa=1,aab=b infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 88 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:23,nodes:8,pairs:4,completionMax:15us [00m00s] 88 ab:aa=1,aba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 88 ab:aa=1,aba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 89 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:8,pairs:3,completionMax:12us [00m00s] 89 ab:aa=1,aba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [00m00s] from: 89 ab:aa=1,aba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [00m00s] # 90 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:2,nodes:8,pairs:1,completionMax:5us [00m00s] 90 ab:aa=1,abb=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 90 ab:aa=1,abb=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 91 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:3,completionMax:10us [00m00s] 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] # 92 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:3us [00m00s] 92 ab:aa=1,bab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 92 ab:aa=1,bab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 93 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:1us [00m00s] 93 ab:aa=1,bab=b infinite ab - - ab:aa=1,bab=b [00m00s] # 94 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:13,nodes:12,pairs:2,completionMax:10us [00m00s] 94 ab:aa=1,bbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 94 ab:aa=1,bbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 95 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:9us [00m00s] 95 ab:aa=1,bbb=b infinite ab - - ab:aa=1,bbb=b [00m00s] # 96 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:6,pairs:2,completionMax:6us [00m00s] 96 ab:ab=1,aaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 96 ab:ab=1,aaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 97 solved: rounds:1,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:8,pairs:1,completionMax:13us [00m00s] 97 ab:ab=1,aaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 97 ab:ab=1,aaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 98 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [00m00s] 98 ab:ab=1,aab=a infinite ab - - ab:ab=1 [00m00s] from: 98 ab:ab=1,aab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 99 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:3,nodes:4,pairs:1,completionMax:8us [00m00s] 99 ab:ab=1,aab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 99 ab:ab=1,aab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 100 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 100 ab:ab=1,aba=a infinite ab - - ab:ab=1 [00m00s] from: 100 ab:ab=1,aba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 101 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:4,pairs:1,completionMax:4us [00m00s] 101 ab:ab=1,aba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 101 ab:ab=1,aba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 102 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:2,nodes:8,pairs:1,completionMax:2us [00m00s] 102 ab:ab=1,baa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 102 ab:ab=1,baa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 103 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:28us [00m00s] 103 ab:ab=1,baa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 103 ab:ab=1,baa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 104 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:5us [00m00s] 104 ab:aa=1,ab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 104 ab:aa=1,ab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 105 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:6,pairs:0,completionMax:4us [00m00s] 105 ab:aa=1,bb=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 105 ab:aa=1,bb=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 106 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:2,nodes:6,pairs:0,completionMax:6us [00m00s] 106 ab:ab=1,ba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 106 ab:ab=1,ba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 107 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:46,nodes:12,pairs:4,completionMax:29us [00m00s] 107 ab:ab=1,bb=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 107 ab:ab=1,bb=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 108 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:8,nodes:6,pairs:3,completionMax:4us [00m00s] 108 ab:ab=1,bb=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 108 ab:ab=1,bb=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 109 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:28,nodes:6,pairs:4,completionMax:23us [00m00s] 109 ab:aaa=a,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 109 ab:aaa=a,aab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 110 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:50,nodes:10,pairs:8,completionMax:73us [00m00s] 110 ab:aaa=a,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 110 ab:aaa=a,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 111 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:29,nodes:8,pairs:5,completionMax:43us [00m00s] 111 ab:aaa=a,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 111 ab:aaa=a,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 112 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:71,nodes:10,pairs:8,completionMax:47us [00m00s] 112 ab:aaa=a,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 112 ab:aaa=a,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 113 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:12us [00m00s] 113 ab:aaa=a,bbb=1 infinite ab - - ab:aaa=a,bbb=1 [00m00s] # 114 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:3,nodes:10,pairs:0,completionMax:9us [00m00s] 114 ab:aaa=b,aab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 114 ab:aaa=b,aab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 115 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:2,nodes:10,pairs:0,completionMax:5us [00m00s] 115 ab:aaa=b,aba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 115 ab:aaa=b,aba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 116 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:7,nodes:14,pairs:0,completionMax:2us [00m00s] 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m00s] # 117 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:6,nodes:14,pairs:0,completionMax:5us [00m00s] 117 ab:aaa=b,bab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m00s] from: 117 ab:aaa=b,bab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 118 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:12,nodes:18,pairs:0,completionMax:12us [00m00s] 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] # 119 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:10,pairs:11,completionMax:27us [00m00s] 119 ab:aab=a,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 119 ab:aab=a,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 120 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:4,completionMax:8us [00m00s] 120 ab:aab=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 120 ab:aab=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 121 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:106,nodes:10,pairs:14,completionMax:73us [00m00s] 121 ab:aab=a,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 121 ab:aab=a,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 122 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:76,nodes:10,pairs:8,completionMax:23us [00m00s] 122 ab:aab=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 122 ab:aab=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 123 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:10,pairs:8,completionMax:29us [00m00s] 123 ab:aab=a,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 123 ab:aab=a,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 124 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:1,work:31,nodes:12,pairs:3,completionMax:24us [00m00s] 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a/b - - ab:aaaa=a,ab=aaa,bbb=1 [00m00s] # 125 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:47,nodes:10,pairs:10,completionMax:25us [00m00s] 125 ab:aab=b,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 125 ab:aab=b,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 126 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:12,nodes:8,pairs:4,completionMax:21us [00m00s] 126 ab:aab=b,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 126 ab:aab=b,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 127 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:10,pairs:7,completionMax:25us [00m00s] 127 ab:aab=b,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 127 ab:aab=b,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 128 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:10,pairs:4,completionMax:35us [00m00s] 128 ab:aab=b,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 128 ab:aab=b,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 129 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:76,nodes:12,pairs:10,completionMax:60us [00m00s] 129 ab:aab=b,bba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 129 ab:aab=b,bba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 130 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:3,nodes:10,pairs:1,completionMax:21us [00m00s] 130 ab:aab=b,bbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 130 ab:aab=b,bbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 131 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:6,pairs:3,completionMax:15us [00m00s] 131 ab:aba=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 131 ab:aba=a,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 132 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:37,nodes:10,pairs:5,completionMax:15us [00m00s] 132 ab:aba=a,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 132 ab:aba=a,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 133 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:53,nodes:10,pairs:13,completionMax:19us [00m00s] 133 ab:aba=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 133 ab:aba=a,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 134 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:2us [00m00s] 134 ab:aba=a,bbb=1 infinite ab - - ab:aba=a,bbb=1 [00m00s] # 135 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:40,nodes:10,pairs:8,completionMax:24us [00m00s] 135 ab:aba=b,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 135 ab:aba=b,abb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 136 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:10,pairs:10,completionMax:36us [00m00s] 136 ab:aba=b,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 136 ab:aba=b,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 137 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:21,nodes:10,pairs:7,completionMax:14us [00m00s] 137 ab:aba=b,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 137 ab:aba=b,bab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 138 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:56,nodes:10,pairs:4,completionMax:12us [00m00s] 138 ab:aba=b,bbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 138 ab:aba=b,bbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 139 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:10,pairs:2,completionMax:6us [00m00s] 139 ab:abb=a,bbb=1 infinite ab - - ab:ab=a,bbb=1 [00m00s] from: 139 ab:abb=a,bbb=1 infinite to: 54 ab:ab=a,bbb=1 infinite a=a,b=b [00m00s] # 140 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:1,work:35,nodes:10,pairs:7,completionMax:28us [00m00s] 140 ab:abb=b,bbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 140 ab:abb=b,bbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 141 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:3,work:61,nodes:8,pairs:3,completionMax:13us [00m00s] 141 ab:bab=a,bbb=1 infinite b/a - - ab:bbb=1,ba=abb [00m00s] # 142 solved: rounds:4,rules:2,peak:4,longest:3,steps:1,word:1,work:46,nodes:10,pairs:10,completionMax:39us [00m00s] 142 ab:bab=b,bbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 142 ab:bab=b,bbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 143 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:5us [00m00s] 143 ab:ab=aa,aaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 143 ab:ab=aa,aaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 144 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:5us [00m00s] 144 ab:ab=aa,aab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 144 ab:ab=aa,aab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 145 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:9us [00m00s] 145 ab:ab=aa,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 145 ab:ab=aa,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 146 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:2us [00m00s] 146 ab:ab=aa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 146 ab:ab=aa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 147 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:34,nodes:12,pairs:3,completionMax:15us [00m00s] 147 ab:ab=aa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 147 ab:ab=aa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 148 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:12,pairs:3,completionMax:19us [00m00s] 148 ab:ab=aa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 148 ab:ab=aa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 149 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:12,pairs:4,completionMax:18us [00m00s] 149 ab:ab=aa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 149 ab:ab=aa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 150 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:22,nodes:12,pairs:1,completionMax:12us [00m00s] 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba ab - - ab:ab=aa,bbb=1,aaaa=a [00m00s] # 151 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:11,nodes:8,pairs:0,completionMax:3us [00m00s] 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [00m00s] # 152 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:5us [00m00s] 152 ab:ba=ab,aab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 152 ab:ba=ab,aab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 153 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:1us [00m00s] 153 ab:ba=ab,aba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 153 ab:ba=ab,aba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 154 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:28,nodes:14,pairs:2,completionMax:15us [00m00s] 154 ab:bb=aa,aaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 154 ab:bb=aa,aaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 155 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:25,nodes:14,pairs:2,completionMax:22us [00m00s] 155 ab:bb=aa,aab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 155 ab:bb=aa,aab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 156 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:51,nodes:14,pairs:4,completionMax:13us [00m00s] 156 ab:bb=aa,aba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 156 ab:bb=aa,aba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 157 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:39,nodes:8,pairs:1,completionMax:7us [00m00s] 157 ab:ab=aa,ba=a infinite ab - - ab:ab=aa,ba=a,aaa=aa [00m00s] # 158 solved: rounds:1,rules:3,peak:3,longest:2,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:22us [00m00s] 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab ba - - ab:bb=b,ba=b,aa=ab [00m00s] # 159 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:67,nodes:8,pairs:2,completionMax:22us [00m00s] 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bb [00m00s] # 160 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:39,nodes:8,pairs:1,completionMax:4us [00m00s] 160 ab:ab=aa,bb=b finite:6;idempotents:1,b,aa,baa ab - - ab:ab=aa,bb=b,aaa=aa [00m00s] # 161 solved: rounds:0,rules:1,peak:2,longest:2,steps:1,word:1,work:1,nodes:4,pairs:0,completionMax:6us [00m00s] 161 ab:ba=ab,bb=a infinite;commutative:ab:a=b2;saturation:a:;cancellative;smith:0 b/a - - ab:a=bb [00m00s] from: 161 ab:ba=ab,bb=a infinite;commutative:ab:a=b2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bb,b=b [00m00s] # 162 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:8us [00m00s] 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 ab - - ab:ba=ab,bb=b [00m00s] # 163 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:8us [00m00s] 163 ab:aaa=1,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 163 ab:aaa=1,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 164 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:2us [00m00s] 164 ab:aaa=1,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 164 ab:aaa=1,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 165 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:53,nodes:10,pairs:9,completionMax:19us [00m00s] 165 ab:aaa=1,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 165 ab:aaa=1,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 166 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:51,nodes:12,pairs:7,completionMax:21us [00m00s] 166 ab:aaa=1,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 166 ab:aaa=1,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 167 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:14,pairs:1,completionMax:6us [00m00s] 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] # 168 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:112,nodes:14,pairs:11,completionMax:36us [00m00s] 168 ab:aaa=1,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 168 ab:aaa=1,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 169 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:74,nodes:24,pairs:5,completionMax:40us [00m00s] 169 ab:aaa=1,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 169 ab:aaa=1,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 170 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:299,nodes:16,pairs:9,completionMax:56us [00m00s] 170 ab:aaa=1,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 170 ab:aaa=1,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 171 solved: rounds:5,rules:2,peak:4,longest:9,steps:4,word:5,work:228,nodes:18,pairs:10,completionMax:64us [00m00s] 171 ab:aaa=1,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 171 ab:aaa=1,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 172 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:4us [00m00s] 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [00m00s] # 173 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:6,nodes:8,pairs:2,completionMax:21us [00m00s] 173 ab:aab=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 173 ab:aab=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 174 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:10us [00m00s] 174 ab:aab=1,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 174 ab:aab=1,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 175 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:2us [00m00s] 175 ab:aab=1,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 175 ab:aab=1,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 176 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:2us [00m00s] 176 ab:aab=1,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 176 ab:aab=1,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 177 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:105,nodes:12,pairs:16,completionMax:28us [00m00s] 177 ab:aab=1,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 177 ab:aab=1,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 178 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:10,pairs:4,completionMax:7us [00m00s] 178 ab:aab=1,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 178 ab:aab=1,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 179 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:70,nodes:12,pairs:13,completionMax:26us [00m00s] 179 ab:aab=1,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 179 ab:aab=1,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 180 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:30,nodes:12,pairs:5,completionMax:18us [00m00s] 180 ab:aab=1,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 180 ab:aab=1,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 181 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:120,nodes:12,pairs:14,completionMax:36us [00m00s] 181 ab:aab=1,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 181 ab:aab=1,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 182 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:1us [00m00s] 182 ab:aab=1,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 182 ab:aab=1,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 183 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:92,nodes:14,pairs:12,completionMax:26us [00m00s] 183 ab:aab=1,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 183 ab:aab=1,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 184 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:96,nodes:16,pairs:10,completionMax:25us [00m00s] 184 ab:aab=1,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 184 ab:aab=1,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 185 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:126,nodes:14,pairs:9,completionMax:26us [00m00s] 185 ab:aab=1,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 185 ab:aab=1,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 186 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:231,nodes:16,pairs:18,completionMax:54us [00m00s] 186 ab:aab=1,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 186 ab:aab=1,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 187 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:136,nodes:14,pairs:11,completionMax:37us [00m00s] 187 ab:aab=1,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 187 ab:aab=1,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 188 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:98,nodes:16,pairs:13,completionMax:35us [00m00s] 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] # 189 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:59,nodes:12,pairs:7,completionMax:41us [00m00s] 189 ab:aba=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 189 ab:aba=1,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 190 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:67,nodes:12,pairs:12,completionMax:42us [00m00s] 190 ab:aba=1,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 190 ab:aba=1,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 191 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:2,completionMax:10us [00m00s] 191 ab:aba=1,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 191 ab:aba=1,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 192 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:9,completionMax:29us [00m00s] 192 ab:aba=1,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 192 ab:aba=1,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 193 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:2us [00m00s] 193 ab:aba=1,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 193 ab:aba=1,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 194 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:98,nodes:10,pairs:11,completionMax:22us [00m00s] 194 ab:aba=1,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 194 ab:aba=1,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 195 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:4,work:345,nodes:22,pairs:13,completionMax:65us [00m00s] 195 ab:aba=1,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 195 ab:aba=1,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 196 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:49,nodes:12,pairs:12,completionMax:17us [00m00s] 196 ab:aba=1,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 196 ab:aba=1,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 197 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:84,nodes:12,pairs:10,completionMax:29us [00m00s] 197 ab:aba=1,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 197 ab:aba=1,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 198 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:230,nodes:16,pairs:11,completionMax:49us [00m00s] 198 ab:aba=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 198 ab:aba=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 199 solved: rounds:0,rules:1,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:7us [00m00s] 199 ab:aa=a,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 199 ab:aa=a,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 200 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:13,nodes:4,pairs:2,completionMax:10us [00m00s] 200 ab:aa=a,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 200 ab:aa=a,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 201 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:5,completionMax:27us [00m00s] 201 ab:aa=a,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 201 ab:aa=a,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 202 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:6,pairs:2,completionMax:32us [00m00s] 202 ab:aa=a,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 202 ab:aa=a,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 203 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:8,pairs:3,completionMax:10us [00m00s] 203 ab:aa=a,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 203 ab:aa=a,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 204 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:26,nodes:8,pairs:5,completionMax:10us [00m00s] 204 ab:aa=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 204 ab:aa=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 205 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:11,nodes:8,pairs:2,completionMax:12us [00m00s] 205 ab:aa=a,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 205 ab:aa=a,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 206 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:7,completionMax:15us [00m00s] 206 ab:aa=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 206 ab:aa=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 207 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:213,nodes:16,pairs:14,completionMax:53us [00m00s] 207 ab:aa=a,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 207 ab:aa=a,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 208 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:4us [00m00s] 208 ab:aa=a,bbbb=1 infinite ab - - ab:aa=a,bbbb=1 [00m00s] # 209 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:8,pairs:0,completionMax:4us [00m00s] 209 ab:aa=b,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 209 ab:aa=b,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 210 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:4,nodes:10,pairs:0,completionMax:5us [00m00s] 210 ab:aa=b,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 210 ab:aa=b,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 211 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:3,nodes:10,pairs:0,completionMax:3us [00m00s] 211 ab:aa=b,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 211 ab:aa=b,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 212 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:8,nodes:12,pairs:0,completionMax:12us [00m00s] 212 ab:aa=b,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 212 ab:aa=b,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 213 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:7,nodes:12,pairs:0,completionMax:7us [00m00s] 213 ab:aa=b,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 213 ab:aa=b,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 214 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:6,nodes:12,pairs:0,completionMax:8us [00m00s] 214 ab:aa=b,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 214 ab:aa=b,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 215 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:12,nodes:14,pairs:0,completionMax:4us [00m00s] 215 ab:aa=b,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 215 ab:aa=b,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 216 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:6,nodes:12,pairs:0,completionMax:7us [00m00s] 216 ab:aa=b,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 216 ab:aa=b,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 217 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:11,nodes:14,pairs:0,completionMax:7us [00m00s] 217 ab:aa=b,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 217 ab:aa=b,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 218 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:16,nodes:16,pairs:0,completionMax:4us [00m00s] 218 ab:aa=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 218 ab:aa=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 219 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:9us [00m00s] 219 ab:ab=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 219 ab:ab=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 220 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:12us [00m00s] 220 ab:ab=a,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 220 ab:ab=a,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 221 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:7us [00m00s] 221 ab:ab=a,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 221 ab:ab=a,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 222 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:19us [00m00s] 222 ab:ab=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 222 ab:ab=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 223 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:1,completionMax:2us [00m00s] 223 ab:ab=a,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 223 ab:ab=a,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 224 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 224 ab:ab=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 224 ab:ab=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 225 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:3us [00m00s] 225 ab:ab=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 225 ab:ab=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 226 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:6us [00m00s] 226 ab:ab=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 226 ab:ab=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 227 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:33,nodes:14,pairs:3,completionMax:13us [00m00s] 227 ab:ab=a,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 227 ab:ab=a,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 228 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:28,nodes:10,pairs:3,completionMax:11us [00m00s] 228 ab:ab=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 228 ab:ab=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 229 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:27,nodes:10,pairs:3,completionMax:13us [00m00s] 229 ab:ab=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 229 ab:ab=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 230 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:3,completionMax:12us [00m00s] 230 ab:ab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 230 ab:ab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 231 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:33,nodes:12,pairs:4,completionMax:12us [00m00s] 231 ab:ab=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 231 ab:ab=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 232 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:25,nodes:8,pairs:4,completionMax:5us [00m00s] 232 ab:ab=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 232 ab:ab=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 233 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:30,nodes:10,pairs:5,completionMax:22us [00m00s] 233 ab:ab=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 233 ab:ab=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 234 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:6,nodes:10,pairs:0,completionMax:2us [00m00s] 234 ab:ab=a,bbbb=1 infinite ab - - ab:ab=a,bbbb=1 [00m00s] # 235 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [00m00s] 235 ab:aa=a,aaa=a infinite ab - - ab:aa=a [00m00s] # 236 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [00m00s] 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] # 237 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:10,nodes:4,pairs:0,completionMax:28us [00m00s] 237 ab:aa=a,aab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 237 ab:aa=a,aab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 238 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:10,nodes:4,pairs:0,completionMax:17us [00m00s] 238 ab:aa=a,aab=b infinite ab - - ab:aa=a,ab=b [00m00s] from: 238 ab:aa=a,aab=b infinite to: 56 ab:aa=a,ab=b infinite a=a,b=b [00m00s] # 239 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:20,nodes:6,pairs:0,completionMax:31us [00m00s] 239 ab:aa=a,aba=a infinite ab - - ab:aa=a,aba=a [00m00s] # 240 solved: rounds:1,rules:3,peak:4,longest:3,steps:1,word:0,work:36,nodes:8,pairs:3,completionMax:41us [00m00s] 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [00m00s] # 241 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:25us [00m00s] 241 ab:aa=a,abb=a infinite ab - - ab:aa=a,abb=a [00m00s] # 242 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:6,pairs:2,completionMax:5us [00m00s] 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] # 243 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:48,nodes:8,pairs:3,completionMax:38us [00m00s] 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] # 244 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:15us [00m00s] 244 ab:aa=a,bab=b infinite ab - - ab:aa=a,bab=b [00m00s] # 245 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:4,work:59,nodes:12,pairs:2,completionMax:42us [00m00s] 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbb [00m00s] # 246 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:15us [00m00s] 246 ab:aa=a,bbb=b infinite ab - - ab:aa=a,bbb=b [00m00s] # 247 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:7us [00m00s] 247 ab:aa=b,aaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 247 ab:aa=b,aaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 248 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:1,work:19,nodes:6,pairs:0,completionMax:2us [00m00s] 248 ab:aa=b,aaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m00s] from: 248 ab:aa=b,aaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m00s] # 249 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:11,nodes:8,pairs:0,completionMax:3us [00m00s] 249 ab:aa=b,aab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 249 ab:aa=b,aab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 250 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:20,nodes:8,pairs:0,completionMax:2us [00m00s] 250 ab:aa=b,aab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 250 ab:aa=b,aab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 251 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:10,nodes:8,pairs:0,completionMax:4us [00m00s] 251 ab:aa=b,aba=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 251 ab:aa=b,aba=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 252 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:19,nodes:8,pairs:0,completionMax:3us [00m00s] 252 ab:aa=b,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 252 ab:aa=b,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 253 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:16,nodes:10,pairs:0,completionMax:7us [00m00s] 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [00m00s] # 254 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:27,nodes:10,pairs:0,completionMax:5us [00m00s] 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] # 255 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:15,nodes:10,pairs:0,completionMax:5us [00m00s] 255 ab:aa=b,bab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [00m00s] from: 255 ab:aa=b,bab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 256 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:26,nodes:10,pairs:0,completionMax:8us [00m00s] 256 ab:aa=b,bab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 256 ab:aa=b,bab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 257 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:21,nodes:12,pairs:0,completionMax:10us [00m00s] 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] # 258 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:34,nodes:12,pairs:0,completionMax:7us [00m00s] 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] # 259 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:2us [00m00s] 259 ab:ab=a,aaa=a infinite ab - - ab:ab=a,aaa=a [00m00s] # 260 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:11us [00m00s] 260 ab:ab=a,aaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 260 ab:ab=a,aaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 261 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:11,nodes:4,pairs:0,completionMax:4us [00m00s] 261 ab:ab=a,aab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 261 ab:ab=a,aab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 262 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:1,completionMax:7us [00m00s] 262 ab:ab=a,aab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 262 ab:ab=a,aab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 263 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:10,nodes:4,pairs:0,completionMax:2us [00m00s] 263 ab:ab=a,aba=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 263 ab:ab=a,aba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 264 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:1,completionMax:6us [00m00s] 264 ab:ab=a,aba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 264 ab:ab=a,aba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 265 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 265 ab:ab=a,abb=a infinite ab - - ab:ab=a [00m00s] # 266 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:5us [00m00s] 266 ab:ab=a,abb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 266 ab:ab=a,abb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 267 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:81,nodes:10,pairs:3,completionMax:32us [00m00s] 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] # 268 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:35,nodes:10,pairs:2,completionMax:21us [00m00s] 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] # 269 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:2us [00m00s] 269 ab:ab=a,bab=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 269 ab:ab=a,bab=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 270 solved: rounds:1,rules:4,peak:4,longest:2,steps:1,word:0,work:31,nodes:6,pairs:2,completionMax:19us [00m00s] 270 ab:ab=a,bab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 270 ab:ab=a,bab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 271 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:13us [00m00s] 271 ab:ab=a,bba=a infinite ab - - ab:ab=a,bba=a [00m00s] # 272 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:47,nodes:8,pairs:4,completionMax:29us [00m00s] 272 ab:ab=a,bba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 272 ab:ab=a,bba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 273 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:49,nodes:8,pairs:1,completionMax:13us [00m00s] 273 ab:ab=a,bbb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [00m00s] from: 273 ab:ab=a,bbb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [00m00s] # 274 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:12us [00m00s] 274 ab:ab=a,bbb=b infinite ab - - ab:ab=a,bbb=b [00m00s] # 275 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:10,nodes:4,pairs:0,completionMax:2us [00m00s] 275 ab:aa=a,ab=aa infinite ab - - ab:aa=a,ab=a [00m00s] from: 275 ab:aa=a,ab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 276 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:2,work:36,nodes:8,pairs:2,completionMax:9us [00m00s] 276 ab:aa=a,bb=aa finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [00m00s] from: 276 ab:aa=a,bb=aa finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bb,b=b [00m00s] # 277 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:1,work:20,nodes:6,pairs:0,completionMax:4us [00m00s] 277 ab:aa=b,ab=aa finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m00s] from: 277 ab:aa=b,ab=aa finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m00s] # 278 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:2,work:20,nodes:8,pairs:0,completionMax:1us [00m00s] 278 ab:aa=b,bb=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 278 ab:aa=b,bb=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 279 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m00s] 279 ab:ab=a,ba=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 279 ab:ab=a,ba=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 280 solved: rounds:2,rules:4,peak:5,longest:3,steps:1,word:0,work:57,nodes:10,pairs:3,completionMax:38us [00m00s] 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] # 281 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:1,work:21,nodes:6,pairs:1,completionMax:4us [00m00s] 281 ab:ab=a,bb=ab finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [00m00s] from: 281 ab:ab=a,bb=ab finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [00m00s] # 282 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:10,nodes:6,pairs:0,completionMax:1us [00m00s] 282 ab:ab=b,bb=ab infinite ab - - ab:ab=b,bb=b [00m00s] # 283 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:4us [00m00s] 283 ab:aa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 283 ab:aa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 284 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:5us [00m00s] 284 ab:aa=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 284 ab:aa=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 285 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:7,completionMax:26us [00m00s] 285 ab:aa=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 285 ab:aa=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 286 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:14,nodes:8,pairs:4,completionMax:17us [00m00s] 286 ab:aa=1,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 286 ab:aa=1,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 287 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:2us [00m00s] 287 ab:aa=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 287 ab:aa=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 288 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:29,nodes:10,pairs:3,completionMax:16us [00m00s] 288 ab:aa=1,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 288 ab:aa=1,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 289 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:10,nodes:8,pairs:3,completionMax:7us [00m00s] 289 ab:aa=1,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 289 ab:aa=1,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 290 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:2,nodes:8,pairs:0,completionMax:4us [00m00s] 290 ab:aa=1,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 290 ab:aa=1,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 291 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:16,nodes:8,pairs:4,completionMax:6us [00m00s] 291 ab:aa=1,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 291 ab:aa=1,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 292 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:259,nodes:20,pairs:13,completionMax:34us [00m00s] 292 ab:aa=1,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 292 ab:aa=1,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 293 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:268,nodes:18,pairs:10,completionMax:38us [00m00s] 293 ab:aa=1,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 293 ab:aa=1,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 294 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:138,nodes:14,pairs:7,completionMax:19us [00m00s] 294 ab:aa=1,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 294 ab:aa=1,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 295 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:49,nodes:16,pairs:7,completionMax:21us [00m00s] 295 ab:aa=1,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 295 ab:aa=1,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 296 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:22,nodes:16,pairs:4,completionMax:20us [00m00s] 296 ab:aa=1,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 296 ab:aa=1,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 297 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:30,nodes:10,pairs:3,completionMax:20us [00m00s] 297 ab:aa=1,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 297 ab:aa=1,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 298 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:8,pairs:0,completionMax:2us [00m00s] 298 ab:aa=1,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 298 ab:aa=1,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 299 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:68,nodes:12,pairs:5,completionMax:24us [00m00s] 299 ab:aa=1,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 299 ab:aa=1,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 300 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:335,nodes:24,pairs:10,completionMax:48us [00m00s] 300 ab:aa=1,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 300 ab:aa=1,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 301 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:260,nodes:22,pairs:9,completionMax:42us [00m00s] 301 ab:aa=1,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 301 ab:aa=1,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 302 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:7us [00m00s] 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] # 303 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:10us [00m00s] 303 ab:ab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 303 ab:ab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 304 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:1,completionMax:6us [00m00s] 304 ab:ab=1,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 304 ab:ab=1,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 305 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:5us [00m00s] 305 ab:ab=1,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 305 ab:ab=1,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 306 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:2us [00m00s] 306 ab:ab=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 306 ab:ab=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 307 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:4us [00m00s] 307 ab:ab=1,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 307 ab:ab=1,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 308 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:1us [00m00s] 308 ab:ab=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 308 ab:ab=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 309 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:4us [00m00s] 309 ab:ab=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 309 ab:ab=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 310 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:1,completionMax:5us [00m00s] 310 ab:ab=1,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 310 ab:ab=1,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 311 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:3us [00m00s] 311 ab:ab=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 311 ab:ab=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 312 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:1,completionMax:5us [00m00s] 312 ab:ab=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 312 ab:ab=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 313 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:37,nodes:8,pairs:8,completionMax:9us [00m00s] 313 ab:ab=1,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 313 ab:ab=1,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 314 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:37,nodes:8,pairs:8,completionMax:20us [00m00s] 314 ab:ab=1,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 314 ab:ab=1,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 315 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:93,nodes:16,pairs:10,completionMax:43us [00m00s] 315 ab:ab=1,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 315 ab:ab=1,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 316 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:16us [00m00s] 316 ab:ab=1,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 316 ab:ab=1,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 317 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:38,nodes:8,pairs:8,completionMax:26us [00m00s] 317 ab:ab=1,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 317 ab:ab=1,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 318 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:111,nodes:16,pairs:21,completionMax:21us [00m00s] 318 ab:ab=1,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 318 ab:ab=1,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 319 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:7us [00m00s] 319 ab:aa=1,aaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 319 ab:aa=1,aaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 320 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 320 ab:aa=1,aaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 320 ab:aa=1,aaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 321 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:3us [00m00s] 321 ab:aa=1,aaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 321 ab:aa=1,aaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 322 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:7us [00m00s] 322 ab:aa=1,aaab=b infinite ab - - ab:aa=1,ab=b [00m00s] # 323 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:2us [00m00s] 323 ab:aa=1,aaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 323 ab:aa=1,aaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 324 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [00m00s] 324 ab:aa=1,aaba=b infinite ab - - ab:aa=1,ba=b [00m00s] from: 324 ab:aa=1,aaba=b infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 325 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:8,pairs:2,completionMax:8us [00m00s] 325 ab:aa=1,aabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 325 ab:aa=1,aabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 326 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 326 ab:aa=1,aabb=b infinite ab - - ab:aa=1,bb=b [00m00s] # 327 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:77,nodes:14,pairs:11,completionMax:40us [00m00s] 327 ab:aa=1,abab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 327 ab:aa=1,abab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 328 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:74,nodes:12,pairs:6,completionMax:21us [00m00s] 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] # 329 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:40,nodes:12,pairs:8,completionMax:21us [00m00s] 329 ab:aa=1,abba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 329 ab:aa=1,abba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 330 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:119,nodes:16,pairs:7,completionMax:36us [00m00s] 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] # 331 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:2,nodes:12,pairs:1,completionMax:8us [00m00s] 331 ab:aa=1,abbb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 331 ab:aa=1,abbb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 332 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:3,completionMax:10us [00m00s] 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] # 333 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:13,nodes:8,pairs:2,completionMax:5us [00m00s] 333 ab:aa=1,baab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 333 ab:aa=1,baab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 334 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:2us [00m00s] 334 ab:aa=1,baab=b infinite ab - - ab:aa=1,bb=b [00m00s] from: 334 ab:aa=1,baab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 335 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:261,nodes:18,pairs:8,completionMax:32us [00m00s] 335 ab:aa=1,babb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 335 ab:aa=1,babb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 336 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:2us [00m00s] 336 ab:aa=1,babb=b infinite ab - - ab:aa=1,babb=b [00m00s] # 337 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:16,nodes:16,pairs:2,completionMax:15us [00m00s] 337 ab:aa=1,bbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 337 ab:aa=1,bbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 338 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:5us [00m00s] 338 ab:aa=1,bbbb=b infinite ab - - ab:aa=1,bbbb=b [00m00s] # 339 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:8,pairs:2,completionMax:23us [00m00s] 339 ab:ab=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 339 ab:ab=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 340 solved: rounds:1,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:1,completionMax:10us [00m00s] 340 ab:ab=1,aaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 340 ab:ab=1,aaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 341 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:13,nodes:4,pairs:2,completionMax:11us [00m00s] 341 ab:ab=1,aaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 341 ab:ab=1,aaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 342 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:6us [00m00s] 342 ab:ab=1,aaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 342 ab:ab=1,aaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 343 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:12,nodes:4,pairs:2,completionMax:5us [00m00s] 343 ab:ab=1,aaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 343 ab:ab=1,aaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 344 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:4us [00m00s] 344 ab:ab=1,aaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 344 ab:ab=1,aaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 345 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:2us [00m00s] 345 ab:ab=1,aabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 345 ab:ab=1,aabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 346 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:11,nodes:4,pairs:2,completionMax:5us [00m00s] 346 ab:ab=1,abaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 346 ab:ab=1,abaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 347 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:2,nodes:6,pairs:1,completionMax:6us [00m00s] 347 ab:ab=1,abaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 347 ab:ab=1,abaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 348 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:1,completionMax:3us [00m00s] 348 ab:ab=1,abab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 348 ab:ab=1,abab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 349 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:17,nodes:6,pairs:4,completionMax:11us [00m00s] 349 ab:ab=1,abba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 349 ab:ab=1,abba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 350 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:16,nodes:6,pairs:3,completionMax:5us [00m00s] 350 ab:ab=1,abba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 350 ab:ab=1,abba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 351 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:70,nodes:12,pairs:12,completionMax:29us [00m00s] 351 ab:ab=1,baaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 351 ab:ab=1,baaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 352 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:35,nodes:12,pairs:4,completionMax:17us [00m00s] 352 ab:ab=1,baaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 352 ab:ab=1,baaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 353 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:18,nodes:6,pairs:4,completionMax:7us [00m00s] 353 ab:ab=1,baba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 353 ab:ab=1,baba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 354 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:91,nodes:12,pairs:14,completionMax:32us [00m00s] 354 ab:ab=1,bbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 354 ab:ab=1,bbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 355 solved: rounds:0,rules:1,peak:2,longest:2,steps:1,word:0,work:8,nodes:4,pairs:0,completionMax:2us [00m00s] 355 ab:aa=1,aaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 355 ab:aa=1,aaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 356 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:7us [00m00s] 356 ab:aa=1,aaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 356 ab:aa=1,aaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 357 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:8,pairs:2,completionMax:10us [00m00s] 357 ab:aa=1,aaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 357 ab:aa=1,aaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 358 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 358 ab:aa=1,aab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 358 ab:aa=1,aab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 359 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 359 ab:aa=1,aab=ab infinite ab - - ab:aa=1,ab=b [00m00s] from: 359 ab:aa=1,aab=ab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 360 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:3us [00m00s] 360 ab:aa=1,aab=ba infinite ab - - ab:aa=1,ba=b [00m00s] from: 360 ab:aa=1,aab=ba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 361 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 361 ab:aa=1,aab=bb infinite ab - - ab:aa=1,bb=b [00m00s] from: 361 ab:aa=1,aab=bb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 362 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:7,completionMax:16us [00m00s] 362 ab:aa=1,aba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 362 ab:aa=1,aba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 363 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:2,completionMax:14us [00m00s] 363 ab:aa=1,aba=ab infinite ab - - ab:aa=1,ba=b [00m00s] from: 363 ab:aa=1,aba=ab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 364 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:133,nodes:16,pairs:8,completionMax:26us [00m00s] 364 ab:aa=1,aba=bb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 364 ab:aa=1,aba=bb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 365 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:14,nodes:8,pairs:4,completionMax:12us [00m00s] 365 ab:aa=1,abb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 365 ab:aa=1,abb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 366 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:8,pairs:1,completionMax:3us [00m00s] 366 ab:aa=1,abb=ab infinite ab - - ab:aa=1,bb=b [00m00s] from: 366 ab:aa=1,abb=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 367 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:40,nodes:10,pairs:1,completionMax:17us [00m00s] 367 ab:aa=1,abb=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 367 ab:aa=1,abb=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 368 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:4us [00m00s] 368 ab:aa=1,abb=bb infinite ab - - ab:aa=1,abb=bb [00m00s] # 369 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:29,nodes:10,pairs:3,completionMax:15us [00m00s] 369 ab:aa=1,bab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 369 ab:aa=1,bab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 370 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:1,completionMax:8us [00m00s] 370 ab:aa=1,bab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 370 ab:aa=1,bab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 371 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:6us [00m00s] 371 ab:aa=1,bab=bb infinite ab - - ab:aa=1,bab=bb [00m00s] # 372 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:2,nodes:8,pairs:0,completionMax:2us [00m00s] 372 ab:aa=1,bbb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 372 ab:aa=1,bbb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 373 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:19,nodes:12,pairs:1,completionMax:10us [00m00s] 373 ab:aa=1,bbb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 373 ab:aa=1,bbb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 374 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:3us [00m00s] 374 ab:aa=1,bbb=bb infinite ab - - ab:aa=1,bbb=bb [00m00s] # 375 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:48,nodes:6,pairs:3,completionMax:21us [00m00s] 375 ab:ab=1,aaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 375 ab:ab=1,aaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 376 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:1,completionMax:10us [00m00s] 376 ab:ab=1,aaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 376 ab:ab=1,aaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 377 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:34,nodes:10,pairs:4,completionMax:18us [00m00s] 377 ab:ab=1,aaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 377 ab:ab=1,aaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 378 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:94,nodes:16,pairs:4,completionMax:35us [00m00s] 378 ab:ab=1,aaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 378 ab:ab=1,aaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 379 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:12,nodes:4,pairs:2,completionMax:4us [00m00s] 379 ab:ab=1,aab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 379 ab:ab=1,aab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 380 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:5,nodes:4,pairs:1,completionMax:2us [00m00s] 380 ab:ab=1,aab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 380 ab:ab=1,aab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 381 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:18,nodes:6,pairs:4,completionMax:16us [00m00s] 381 ab:ab=1,aab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 381 ab:ab=1,aab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 382 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:17,nodes:8,pairs:2,completionMax:15us [00m00s] 382 ab:ab=1,aab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 382 ab:ab=1,aab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 383 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:11,nodes:4,pairs:2,completionMax:7us [00m00s] 383 ab:ab=1,aba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 383 ab:ab=1,aba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 384 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:1us [00m00s] 384 ab:ab=1,aba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 384 ab:ab=1,aba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 385 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:17,nodes:6,pairs:4,completionMax:10us [00m00s] 385 ab:ab=1,aba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 385 ab:ab=1,aba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 386 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:16,nodes:8,pairs:2,completionMax:9us [00m00s] 386 ab:ab=1,aba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 386 ab:ab=1,aba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 387 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:80,nodes:10,pairs:7,completionMax:25us [00m00s] 387 ab:ab=1,baa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 387 ab:ab=1,baa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 388 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:37,nodes:8,pairs:8,completionMax:21us [00m00s] 388 ab:ab=1,baa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 388 ab:ab=1,baa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 389 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:8,pairs:6,completionMax:15us [00m00s] 389 ab:ab=1,baa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 389 ab:ab=1,baa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 390 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:88,nodes:14,pairs:5,completionMax:24us [00m00s] 390 ab:ab=1,baa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 390 ab:ab=1,baa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 391 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:40,nodes:6,pairs:4,completionMax:5us [00m00s] 391 ab:aaa=aa,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 391 ab:aaa=aa,aab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 392 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:88,nodes:10,pairs:8,completionMax:25us [00m00s] 392 ab:aaa=aa,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 392 ab:aaa=aa,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 393 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:50,nodes:8,pairs:3,completionMax:41us [00m00s] 393 ab:aaa=aa,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 393 ab:aaa=aa,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 394 solved: rounds:5,rules:2,peak:4,longest:3,steps:3,word:0,work:98,nodes:10,pairs:6,completionMax:57us [00m00s] 394 ab:aaa=aa,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 394 ab:aaa=aa,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 395 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:24us [00m00s] 395 ab:aaa=aa,bbb=1 infinite ab - - ab:aaa=aa,bbb=1 [00m00s] # 396 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:7,nodes:8,pairs:1,completionMax:13us [00m00s] 396 ab:aaa=ab,aab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 396 ab:aaa=ab,aab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 397 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:6,nodes:8,pairs:1,completionMax:12us [00m00s] 397 ab:aaa=ab,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 397 ab:aaa=ab,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 398 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:2,work:11,nodes:10,pairs:1,completionMax:11us [00m00s] 398 ab:aaa=ab,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 398 ab:aaa=ab,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 399 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:38,nodes:14,pairs:3,completionMax:20us [00m00s] 399 ab:aaa=ab,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 399 ab:aaa=ab,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 400 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:50,nodes:18,pairs:3,completionMax:13us [00m00s] 400 ab:aaa=ab,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 400 ab:aaa=ab,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 401 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:60,nodes:16,pairs:4,completionMax:28us [00m00s] 401 ab:aaa=ab,bba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 401 ab:aaa=ab,bba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 402 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:33,nodes:18,pairs:1,completionMax:15us [00m00s] 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=a,ab=aaa,bbb=1 [00m00s] # 403 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:76,nodes:18,pairs:4,completionMax:25us [00m00s] 403 ab:aaa=bb,aab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 403 ab:aaa=bb,aab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 404 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:58,nodes:16,pairs:4,completionMax:44us [00m00s] 404 ab:aaa=bb,aba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 404 ab:aaa=bb,aba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 405 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:77,nodes:16,pairs:9,completionMax:50us [00m00s] 405 ab:aaa=bb,abb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [00m00s] from: 405 ab:aaa=bb,abb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [00m00s] # 406 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:167,nodes:16,pairs:10,completionMax:36us [00m00s] 406 ab:aaa=bb,bab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [00m00s] from: 406 ab:aaa=bb,bab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [00m00s] # 407 solved: rounds:1,rules:2,peak:4,longest:9,steps:2,word:5,work:39,nodes:20,pairs:2,completionMax:16us [00m00s] 407 ab:aaa=bb,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [00m00s] from: 407 ab:aaa=bb,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [00m00s] # 408 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:76,nodes:10,pairs:7,completionMax:27us [00m00s] 408 ab:aab=aa,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 408 ab:aab=aa,aba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 409 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:4,completionMax:9us [00m00s] 409 ab:aab=aa,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 409 ab:aab=aa,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 410 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:53,nodes:12,pairs:4,completionMax:21us [00m00s] 410 ab:aab=aa,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 410 ab:aab=aa,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 411 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:178,nodes:10,pairs:10,completionMax:25us [00m00s] 411 ab:aab=aa,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 411 ab:aab=aa,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 412 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:92,nodes:10,pairs:7,completionMax:15us [00m00s] 412 ab:aab=aa,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 412 ab:aab=aa,bba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 413 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:10,pairs:0,completionMax:2us [00m00s] 413 ab:aab=aa,bbb=1 infinite ab - - ab:aab=aa,bbb=1 [00m00s] # 414 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:5,completionMax:20us [00m00s] 414 ab:aab=ab,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 414 ab:aab=ab,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 415 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:2,completionMax:15us [00m00s] 415 ab:aab=ab,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 415 ab:aab=ab,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 416 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:70,nodes:10,pairs:7,completionMax:23us [00m00s] 416 ab:aab=ab,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 416 ab:aab=ab,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 417 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:59,nodes:10,pairs:8,completionMax:21us [00m00s] 417 ab:aab=ab,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 417 ab:aab=ab,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 418 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:62,nodes:10,pairs:7,completionMax:21us [00m00s] 418 ab:aab=ab,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 418 ab:aab=ab,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 419 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:10,pairs:1,completionMax:7us [00m00s] 419 ab:aab=ab,bbb=1 infinite ab - - ab:aa=a,bbb=1 [00m00s] from: 419 ab:aab=ab,bbb=1 infinite to: 40 ab:aa=a,bbb=1 infinite a=a,b=b [00m00s] # 420 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:10,pairs:6,completionMax:28us [00m00s] 420 ab:aab=ba,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 420 ab:aab=ba,aba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 421 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:116,nodes:12,pairs:17,completionMax:44us [00m00s] 421 ab:aab=ba,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 421 ab:aab=ba,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 422 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:121,nodes:14,pairs:16,completionMax:38us [00m00s] 422 ab:aab=ba,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 422 ab:aab=ba,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 423 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:128,nodes:12,pairs:9,completionMax:26us [00m00s] 423 ab:aab=ba,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 423 ab:aab=ba,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 424 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:10,pairs:8,completionMax:17us [00m00s] 424 ab:aab=ba,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 424 ab:aab=ba,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 425 solved: rounds:4,rules:3,peak:7,longest:9,steps:11,word:4,work:916,nodes:34,pairs:16,completionMax:101us [00m00s] 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a/b - - ab:aaaaaaaa=a,ab=baaaa,bbb=1 [00m00s] # 426 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:93,nodes:8,pairs:8,completionMax:34us [00m00s] 426 ab:aab=bb,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 426 ab:aab=bb,aba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 427 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:1,work:31,nodes:10,pairs:3,completionMax:15us [00m00s] 427 ab:aab=bb,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 427 ab:aab=bb,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 428 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:83,nodes:16,pairs:3,completionMax:21us [00m00s] 428 ab:aab=bb,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 428 ab:aab=bb,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 429 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:116,nodes:18,pairs:6,completionMax:30us [00m00s] 429 ab:aab=bb,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 429 ab:aab=bb,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 430 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:2,work:740,nodes:30,pairs:15,completionMax:65us [00m00s] 430 ab:aab=bb,bba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 430 ab:aab=bb,bba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 431 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:35,nodes:12,pairs:3,completionMax:15us [00m00s] 431 ab:aab=bb,bbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 431 ab:aab=bb,bbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 432 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:19,nodes:6,pairs:3,completionMax:14us [00m00s] 432 ab:aba=aa,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 432 ab:aba=aa,abb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 433 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:52,nodes:12,pairs:4,completionMax:27us [00m00s] 433 ab:aba=aa,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 433 ab:aba=aa,baa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 434 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:117,nodes:12,pairs:17,completionMax:24us [00m00s] 434 ab:aba=aa,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 434 ab:aba=aa,bab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 435 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:10,pairs:0,completionMax:6us [00m00s] 435 ab:aba=aa,bbb=1 infinite ab - - ab:aba=aa,bbb=1 [00m00s] # 436 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:6,pairs:3,completionMax:8us [00m00s] 436 ab:aba=ab,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 436 ab:aba=ab,abb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 437 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:97,nodes:10,pairs:8,completionMax:28us [00m00s] 437 ab:aba=ab,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 437 ab:aba=ab,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 438 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:27,nodes:10,pairs:4,completionMax:14us [00m00s] 438 ab:aba=ab,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 438 ab:aba=ab,bab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 439 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:58,nodes:10,pairs:9,completionMax:32us [00m00s] 439 ab:aba=ab,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 439 ab:aba=ab,bba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 440 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:72,nodes:12,pairs:3,completionMax:13us [00m00s] 440 ab:aba=ab,bbb=1 finite:12;idempotents:1,a,babb,bbab ab - - ab:aa=a,aba=ab,bbb=1,abba=abb [00m00s] # 441 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:46,nodes:10,pairs:6,completionMax:26us [00m00s] 441 ab:aba=ba,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 441 ab:aba=ba,baa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 442 solved: rounds:2,rules:2,peak:7,longest:5,steps:7,word:2,work:430,nodes:20,pairs:7,completionMax:32us [00m00s] 442 ab:aba=bb,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 442 ab:aba=bb,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 443 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:2,work:22,nodes:8,pairs:3,completionMax:15us [00m00s] 443 ab:aba=bb,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 443 ab:aba=bb,baa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 444 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:2,work:167,nodes:18,pairs:7,completionMax:37us [00m00s] 444 ab:aba=bb,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 444 ab:aba=bb,bab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 445 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:10,pairs:0,completionMax:10us [00m00s] 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [00m00s] # 446 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:2,work:58,nodes:14,pairs:2,completionMax:20us [00m00s] 446 ab:abb=aa,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a/b - - ab:aaaa=a,ab=aaa,bbb=1 [00m00s] from: 446 ab:abb=aa,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=a,b=b [00m00s] # 447 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:14us [00m00s] 447 ab:abb=ab,bbb=1 infinite ab - - ab:ab=a,bbb=1 [00m00s] from: 447 ab:abb=ab,bbb=1 infinite to: 54 ab:ab=a,bbb=1 infinite a=a,b=b [00m00s] # 448 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:14,nodes:6,pairs:0,completionMax:7us [00m00s] 448 ab:abb=ba,bbb=1 infinite b/a - - ab:bbb=1,ba=abb [00m00s] from: 448 ab:abb=ba,bbb=1 infinite to: 141 ab:bab=a,bbb=1 infinite a=a,b=b [00m00s] # 449 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:10,pairs:2,completionMax:15us [00m00s] 449 ab:abb=bb,bbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 449 ab:abb=bb,bbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 450 solved: rounds:3,rules:5,peak:5,longest:8,steps:16,word:1,work:1186,nodes:28,pairs:5,completionMax:41us [00m00s] 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb b/a - - ab:bbb=1,aa=bab,baba=abab,ababba=bbabbab,babbabba=abbabbab [00m00s] # 451 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:8,pairs:2,completionMax:4us [00m00s] 451 ab:bab=ab,bbb=1 infinite ab - - ab:ba=a,bbb=1 [00m00s] # 452 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:10,pairs:4,completionMax:21us [00m00s] 452 ab:bab=bb,bbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 452 ab:bab=bb,bbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 453 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:3,completionMax:11us [00m00s] 453 ab:aaaa=1,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 453 ab:aaaa=1,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 454 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:9,completionMax:30us [00m00s] 454 ab:aaaa=1,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 454 ab:aaaa=1,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 455 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:51,nodes:12,pairs:4,completionMax:27us [00m00s] 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] # 456 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:16,pairs:1,completionMax:21us [00m00s] 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m00s] # 457 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:251,nodes:18,pairs:14,completionMax:47us [00m00s] 457 ab:aaaa=1,abba=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] from: 457 ab:aaaa=1,abba=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m00s] # 458 solved: rounds:4,rules:2,peak:4,longest:12,steps:2,word:8,work:139,nodes:24,pairs:14,completionMax:64us [00m00s] 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m00s] # 459 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:51,nodes:14,pairs:3,completionMax:35us [00m00s] 459 ab:aaaa=1,baab=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] from: 459 ab:aaaa=1,baab=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m00s] # 460 solved: rounds:6,rules:2,peak:4,longest:12,steps:8,word:8,work:449,nodes:24,pairs:11,completionMax:46us [00m00s] 460 ab:aaaa=1,babb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m00s] from: 460 ab:aaaa=1,babb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m00s] # 461 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:7us [00m00s] 461 ab:aaaa=1,bbbb=1 infinite;group:a-aaa,b-bbb ab - - ab:aaaa=1,bbbb=1 [00m00s] # 462 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:81,nodes:12,pairs:4,completionMax:10us [00m00s] 462 ab:aaab=1,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 462 ab:aaab=1,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 463 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:10,pairs:3,completionMax:13us [00m00s] 463 ab:aaab=1,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 463 ab:aaab=1,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 464 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:194,nodes:16,pairs:7,completionMax:45us [00m00s] 464 ab:aaab=1,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 464 ab:aaab=1,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 465 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:12,pairs:4,completionMax:21us [00m00s] 465 ab:aaab=1,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 465 ab:aaab=1,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 466 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:148,nodes:14,pairs:15,completionMax:36us [00m00s] 466 ab:aaab=1,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 466 ab:aaab=1,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 467 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:45,nodes:18,pairs:5,completionMax:37us [00m00s] 467 ab:aaab=1,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 467 ab:aaab=1,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 468 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:37,nodes:14,pairs:2,completionMax:27us [00m00s] 468 ab:aaab=1,baaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 468 ab:aaab=1,baaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 469 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:96,nodes:14,pairs:10,completionMax:46us [00m00s] 469 ab:aaab=1,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 469 ab:aaab=1,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 470 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:155,nodes:16,pairs:12,completionMax:44us [00m00s] 470 ab:aaab=1,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 470 ab:aaab=1,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 471 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:4,work:135,nodes:22,pairs:10,completionMax:43us [00m00s] 471 ab:aaab=1,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 471 ab:aaab=1,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 472 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:204,nodes:18,pairs:15,completionMax:40us [00m00s] 472 ab:aaab=1,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 472 ab:aaab=1,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 473 solved: rounds:3,rules:2,peak:7,longest:8,steps:2,word:4,work:323,nodes:22,pairs:16,completionMax:41us [00m00s] 473 ab:aaab=1,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 473 ab:aaab=1,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 474 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:4,work:203,nodes:20,pairs:11,completionMax:32us [00m00s] 474 ab:aaab=1,bbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 474 ab:aaab=1,bbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 475 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:106,nodes:10,pairs:9,completionMax:23us [00m00s] 475 ab:aaba=1,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 475 ab:aaba=1,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 476 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:74,nodes:14,pairs:5,completionMax:14us [00m00s] 476 ab:aaba=1,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 476 ab:aaba=1,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 477 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:6,completionMax:11us [00m00s] 477 ab:aaba=1,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 477 ab:aaba=1,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 478 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:303,nodes:16,pairs:20,completionMax:54us [00m00s] 478 ab:aaba=1,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 478 ab:aaba=1,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 479 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:14,pairs:7,completionMax:15us [00m00s] 479 ab:aaba=1,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 479 ab:aaba=1,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 480 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:105,nodes:14,pairs:11,completionMax:27us [00m00s] 480 ab:aaba=1,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 480 ab:aaba=1,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 481 solved: rounds:2,rules:2,peak:5,longest:8,steps:6,word:4,work:346,nodes:20,pairs:17,completionMax:64us [00m00s] 481 ab:aaba=1,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 481 ab:aaba=1,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 482 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:214,nodes:18,pairs:13,completionMax:50us [00m00s] 482 ab:aaba=1,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 482 ab:aaba=1,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 483 solved: rounds:5,rules:2,peak:5,longest:8,steps:5,word:4,work:320,nodes:16,pairs:13,completionMax:70us [00m00s] 483 ab:aaba=1,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 483 ab:aaba=1,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 484 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m00s] 484 ab:aabb=1,abab=1 infinite ab - - ab:aabb=1,abab=1 [00m00s] # 485 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:156,nodes:30,pairs:9,completionMax:30us [00m00s] 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m00s] # 486 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:297,nodes:18,pairs:6,completionMax:46us [00m00s] 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m00s] # 487 solved: rounds:1,rules:5,peak:5,longest:4,steps:5,word:0,work:107,nodes:21,pairs:7,completionMax:17us [00m00s] 487 ab:aabb=1,bbaa=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m00s] from: 487 ab:aabb=1,bbaa=1 infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m00s] # 488 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:4,completionMax:10us [00m00s] 488 ab:abab=1,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m00s] from: 488 ab:abab=1,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m00s] # 489 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:7us [00m00s] 489 ab:abab=1,baba=1 infinite;group:a-bab,b-aba ab - - ab:abab=1,baba=1 [00m00s] # 490 solved: rounds:1,rules:5,peak:6,longest:4,steps:6,word:0,work:169,nodes:21,pairs:6,completionMax:29us [00m00s] 490 ab:abba=1,baab=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m00s] from: 490 ab:abba=1,baab=1 infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m00s] # 491 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:0,work:19,nodes:6,pairs:0,completionMax:6us [00m00s] 491 ab:aaa=a,aaaa=1 infinite ab - - ab:aa=1 [00m00s] from: 491 ab:aaa=a,aaaa=1 infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 492 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:18us [00m00s] 492 ab:aaa=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 492 ab:aaa=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 493 solved: rounds:1,rules:2,peak:5,longest:4,steps:3,word:0,work:95,nodes:10,pairs:4,completionMax:26us [00m00s] 493 ab:aaa=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 493 ab:aaa=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 494 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:32,nodes:10,pairs:4,completionMax:28us [00m00s] 494 ab:aaa=a,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 494 ab:aaa=a,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 495 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:12,pairs:2,completionMax:13us [00m00s] 495 ab:aaa=a,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 495 ab:aaa=a,abab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 496 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:14,pairs:8,completionMax:44us [00m00s] 496 ab:aaa=a,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 496 ab:aaa=a,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 497 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:2,work:35,nodes:12,pairs:5,completionMax:21us [00m00s] 497 ab:aaa=a,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 497 ab:aaa=a,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 498 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:94,nodes:12,pairs:12,completionMax:32us [00m00s] 498 ab:aaa=a,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 498 ab:aaa=a,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 499 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:2,work:175,nodes:14,pairs:10,completionMax:28us [00m00s] 499 ab:aaa=a,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 499 ab:aaa=a,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 500 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:12,pairs:0,completionMax:3us [00m00s] 500 ab:aaa=a,bbbb=1 infinite ab - - ab:aaa=a,bbbb=1 [00m00s] # 501 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:8,pairs:0,completionMax:3us [00m00s] 501 ab:aaa=b,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 501 ab:aaa=b,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 502 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:4,nodes:12,pairs:0,completionMax:2us [00m00s] 502 ab:aaa=b,aaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m00s] from: 502 ab:aaa=b,aaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m00s] # 503 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:3,nodes:12,pairs:0,completionMax:4us [00m00s] 503 ab:aaa=b,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m00s] from: 503 ab:aaa=b,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m00s] # 504 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:9,nodes:16,pairs:0,completionMax:5us [00m00s] 504 ab:aaa=b,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m00s] from: 504 ab:aaa=b,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m00s] # 505 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:8,nodes:16,pairs:0,completionMax:5us [00m00s] 505 ab:aaa=b,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m00s] from: 505 ab:aaa=b,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m00s] # 506 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:7,nodes:16,pairs:0,completionMax:5us [00m00s] 506 ab:aaa=b,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m00s] from: 506 ab:aaa=b,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m00s] # 507 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:15,nodes:20,pairs:0,completionMax:9us [00m00s] 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m00s] # 508 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:7,nodes:16,pairs:0,completionMax:10us [00m00s] 508 ab:aaa=b,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m00s] from: 508 ab:aaa=b,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m00s] # 509 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:14,nodes:20,pairs:0,completionMax:5us [00m00s] 509 ab:aaa=b,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m00s] from: 509 ab:aaa=b,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m00s] # 510 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:22,nodes:24,pairs:0,completionMax:8us [00m00s] 510 ab:aaa=b,bbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m00s] from: 510 ab:aaa=b,bbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m00s] # 511 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:2,work:14,nodes:8,pairs:2,completionMax:13us [00m00s] 511 ab:aab=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 511 ab:aab=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 512 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:8us [00m00s] 512 ab:aab=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 512 ab:aab=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 513 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:11us [00m00s] 513 ab:aab=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 513 ab:aab=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 514 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:3us [00m00s] 514 ab:aab=a,aabb=1 infinite ab - - ab:ab=1 [00m00s] from: 514 ab:aab=a,aabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 515 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:61,nodes:10,pairs:9,completionMax:35us [00m00s] 515 ab:aab=a,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 515 ab:aab=a,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 516 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:10,pairs:0,completionMax:5us [00m00s] 516 ab:aab=a,abab=1 infinite ab - - ab:aab=a,abab=1 [00m00s] # 517 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:31,nodes:14,pairs:5,completionMax:18us [00m00s] 517 ab:aab=a,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 517 ab:aab=a,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 518 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:18,nodes:10,pairs:7,completionMax:19us [00m00s] 518 ab:aab=a,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 518 ab:aab=a,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 519 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:134,nodes:14,pairs:14,completionMax:34us [00m00s] 519 ab:aab=a,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 519 ab:aab=a,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 520 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:7us [00m00s] 520 ab:aab=a,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 520 ab:aab=a,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 521 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:12,pairs:2,completionMax:14us [00m00s] 521 ab:aab=a,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 521 ab:aab=a,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 522 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:66,nodes:12,pairs:9,completionMax:27us [00m00s] 522 ab:aab=a,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 522 ab:aab=a,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 523 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:26,nodes:12,pairs:6,completionMax:18us [00m00s] 523 ab:aab=a,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 523 ab:aab=a,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 524 solved: rounds:3,rules:2,peak:8,longest:4,steps:3,word:0,work:475,nodes:18,pairs:35,completionMax:92us [00m00s] 524 ab:aab=a,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 524 ab:aab=a,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 525 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:79,nodes:12,pairs:8,completionMax:24us [00m00s] 525 ab:aab=a,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 525 ab:aab=a,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 526 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:2,work:61,nodes:16,pairs:4,completionMax:34us [00m00s] 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a/b - - ab:aaaaa=a,ab=aaaa,bbbb=1 [00m00s] # 527 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:4us [00m00s] 527 ab:aab=b,aaaa=1 infinite ab - - ab:aab=b,aaaa=1 [00m00s] # 528 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:2,completionMax:6us [00m00s] 528 ab:aab=b,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 528 ab:aab=b,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 529 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:8,pairs:4,completionMax:15us [00m00s] 529 ab:aab=b,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 529 ab:aab=b,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 530 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:6us [00m00s] 530 ab:aab=b,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 530 ab:aab=b,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 531 solved: rounds:3,rules:2,peak:8,longest:4,steps:2,word:0,work:167,nodes:14,pairs:23,completionMax:63us [00m00s] 531 ab:aab=b,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 531 ab:aab=b,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 532 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:14,pairs:5,completionMax:10us [00m00s] 532 ab:aab=b,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 532 ab:aab=b,abab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 533 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:52,nodes:14,pairs:10,completionMax:29us [00m00s] 533 ab:aab=b,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 533 ab:aab=b,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 534 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:17,nodes:12,pairs:4,completionMax:13us [00m00s] 534 ab:aab=b,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 534 ab:aab=b,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 535 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:89,nodes:12,pairs:8,completionMax:25us [00m00s] 535 ab:aab=b,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 535 ab:aab=b,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 536 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:5us [00m00s] 536 ab:aab=b,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 536 ab:aab=b,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 537 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:60,nodes:12,pairs:4,completionMax:21us [00m00s] 537 ab:aab=b,baba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 537 ab:aab=b,baba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 538 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:185,nodes:16,pairs:7,completionMax:33us [00m00s] 538 ab:aab=b,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 538 ab:aab=b,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 539 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:79,nodes:12,pairs:7,completionMax:17us [00m00s] 539 ab:aab=b,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 539 ab:aab=b,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 540 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:166,nodes:14,pairs:17,completionMax:37us [00m00s] 540 ab:aab=b,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 540 ab:aab=b,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 541 solved: rounds:3,rules:2,peak:5,longest:7,steps:1,word:2,work:106,nodes:16,pairs:10,completionMax:44us [00m00s] 541 ab:aab=b,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 541 ab:aab=b,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 542 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:7us [00m00s] 542 ab:aab=b,bbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 542 ab:aab=b,bbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 543 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:2,work:31,nodes:12,pairs:4,completionMax:24us [00m00s] 543 ab:aba=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 543 ab:aba=a,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 544 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:10,pairs:6,completionMax:18us [00m00s] 544 ab:aba=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 544 ab:aba=a,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 545 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:27,nodes:8,pairs:4,completionMax:11us [00m00s] 545 ab:aba=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 545 ab:aba=a,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 546 solved: rounds:1,rules:1,peak:3,longest:4,steps:1,word:0,work:16,nodes:10,pairs:1,completionMax:7us [00m00s] 546 ab:aba=a,aabb=1 infinite ab - - ab:ab=1 [00m00s] from: 546 ab:aba=a,aabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 547 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:6us [00m00s] 547 ab:aba=a,abab=1 infinite ab - - ab:ab=1 [00m00s] from: 547 ab:aba=a,abab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 548 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:36,nodes:10,pairs:3,completionMax:16us [00m00s] 548 ab:aba=a,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 548 ab:aba=a,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 549 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:5,completionMax:12us [00m00s] 549 ab:aba=a,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 549 ab:aba=a,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 550 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:57,nodes:14,pairs:6,completionMax:24us [00m00s] 550 ab:aba=a,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 550 ab:aba=a,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 551 solved: rounds:2,rules:2,peak:7,longest:4,steps:2,word:0,work:143,nodes:12,pairs:12,completionMax:45us [00m00s] 551 ab:aba=a,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 551 ab:aba=a,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 552 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:12,pairs:0,completionMax:3us [00m00s] 552 ab:aba=a,bbbb=1 infinite ab - - ab:aba=a,bbbb=1 [00m00s] # 553 solved: rounds:1,rules:2,peak:3,longest:4,steps:7,word:6,work:114,nodes:10,pairs:3,completionMax:24us [00m00s] 553 ab:aba=b,aaaa=1 infinite a/b - - ab:aaaa=1,ab=baaa [00m00s] # 554 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:157,nodes:14,pairs:12,completionMax:31us [00m00s] 554 ab:aba=b,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 554 ab:aba=b,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 555 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:4,completionMax:10us [00m00s] 555 ab:aba=b,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 555 ab:aba=b,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 556 solved: rounds:4,rules:3,peak:9,longest:4,steps:4,word:2,work:704,nodes:18,pairs:24,completionMax:114us [00m00s] 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m00s] # 557 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:2us [00m00s] 557 ab:aba=b,abab=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m00s] from: 557 ab:aba=b,abab=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m00s] # 558 solved: rounds:4,rules:3,peak:10,longest:5,steps:7,word:2,work:1108,nodes:24,pairs:24,completionMax:130us [00m00s] 558 ab:aba=b,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m00s] from: 558 ab:aba=b,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m00s] # 559 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:2,work:88,nodes:14,pairs:9,completionMax:31us [00m00s] 559 ab:aba=b,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 559 ab:aba=b,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 560 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:2,work:297,nodes:14,pairs:14,completionMax:52us [00m00s] 560 ab:aba=b,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m00s] from: 560 ab:aba=b,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m00s] # 561 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:25,nodes:12,pairs:6,completionMax:11us [00m00s] 561 ab:aba=b,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 561 ab:aba=b,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 562 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:30,nodes:12,pairs:1,completionMax:11us [00m00s] 562 ab:aba=b,bbbb=1 infinite;group:a-babbb,b-bbb ab - - ab:aba=b,bba=abb,bbbb=1 [00m00s] # 563 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:6,pairs:1,completionMax:8us [00m00s] 563 ab:aaa=a,aab=a infinite ab - - ab:ab=aa,aaa=a [00m00s] # 564 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:6,pairs:0,completionMax:6us [00m00s] 564 ab:aaa=a,aab=b infinite ab - - ab:aaa=a,aab=b [00m00s] # 565 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:24,nodes:8,pairs:0,completionMax:3us [00m00s] 565 ab:aaa=a,aba=a infinite ab - - ab:aaa=a,aba=a [00m00s] # 566 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:109,nodes:14,pairs:7,completionMax:27us [00m00s] 566 ab:aaa=a,aba=b infinite;commutative:ab:a3=a,a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaa=a,aab=b [00m00s] # 567 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:3us [00m00s] 567 ab:aaa=a,abb=a infinite ab - - ab:aaa=a,abb=a [00m00s] # 568 solved: rounds:3,rules:3,peak:4,longest:3,steps:1,word:0,work:37,nodes:10,pairs:4,completionMax:15us [00m00s] 568 ab:aaa=a,abb=b finite:9;idempotents:1,aa,ba,bb,bbaa ba - - ab:ab=bb,bbb=b,aaa=a [00m00s] # 569 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:217,nodes:24,pairs:12,completionMax:49us [00m00s] 569 ab:aaa=a,bab=a infinite ac/b ab=c frequency:2/2 abc:cc=aa,aaa=a,aac=c,caa=c,ba=aca,bc=a,ab=c,cb=cac [00m00s] # 570 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [00m00s] 570 ab:aaa=a,bab=b infinite ab - - ab:aaa=a,bab=b [00m00s] # 571 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:6,work:133,nodes:18,pairs:3,completionMax:26us [00m00s] 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbbbb=bbb,a=bbb [00m00s] # 572 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:5us [00m00s] 572 ab:aaa=a,bbb=b infinite ab - - ab:aaa=a,bbb=b [00m00s] # 573 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:13,nodes:10,pairs:0,completionMax:4us [00m00s] 573 ab:aaa=b,aab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m00s] from: 573 ab:aaa=b,aab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m00s] # 574 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:44,nodes:10,pairs:0,completionMax:4us [00m00s] 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [00m00s] # 575 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:12,nodes:10,pairs:0,completionMax:4us [00m00s] 575 ab:aaa=b,aba=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m00s] from: 575 ab:aaa=b,aba=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m00s] # 576 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:43,nodes:10,pairs:0,completionMax:4us [00m00s] 576 ab:aaa=b,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [00m00s] from: 576 ab:aaa=b,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [00m00s] # 577 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:21,nodes:14,pairs:0,completionMax:5us [00m00s] 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaa [00m00s] # 578 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:50,nodes:14,pairs:0,completionMax:5us [00m00s] 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m00s] # 579 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:20,nodes:14,pairs:0,completionMax:5us [00m00s] 579 ab:aaa=b,bab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaa [00m00s] from: 579 ab:aaa=b,bab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaa [00m00s] # 580 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:49,nodes:14,pairs:0,completionMax:6us [00m00s] 580 ab:aaa=b,bab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m00s] from: 580 ab:aaa=b,bab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [00m00s] # 581 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:30,nodes:18,pairs:0,completionMax:17us [00m00s] 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m00s] # 582 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:1us [00m00s] 582 ab:aab=a,aba=a infinite ab - - ab:aab=a,aba=a [00m00s] # 583 solved: rounds:2,rules:2,peak:5,longest:3,steps:4,word:0,work:163,nodes:14,pairs:14,completionMax:26us [00m00s] 583 ab:aab=a,aba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m00s] from: 583 ab:aab=a,aba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m00s] # 584 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:6us [00m00s] 584 ab:aab=a,abb=a infinite ab - - ab:ab=aa,aaa=a [00m00s] from: 584 ab:aab=a,abb=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m00s] # 585 solved: rounds:0,rules:2,peak:2,longest:3,steps:0,word:0,work:0,nodes:8,pairs:0,completionMax:4us [00m00s] 585 ab:aab=a,abb=b infinite ab - - ab:aab=a,abb=b [00m00s] # 586 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:10,pairs:1,completionMax:6us [00m00s] 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m00s] # 587 solved: rounds:2,rules:4,peak:6,longest:3,steps:2,word:0,work:110,nodes:10,pairs:5,completionMax:15us [00m00s] 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m00s] # 588 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:118,nodes:10,pairs:5,completionMax:28us [00m00s] 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m00s] # 589 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [00m00s] 589 ab:aab=a,bab=b infinite ab - - ab:aab=a,bab=b [00m00s] # 590 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:179,nodes:14,pairs:5,completionMax:38us [00m00s] 590 ab:aab=a,bba=a infinite ab - - ab:ab=aa,aaa=a,bba=a [00m00s] # 591 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:42,nodes:14,pairs:2,completionMax:14us [00m00s] 591 ab:aab=a,bba=b infinite ab - - ab:aab=a,aba=a,bab=b,bba=b [00m00s] # 592 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:102,nodes:10,pairs:6,completionMax:30us [00m00s] 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m00s] # 593 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:10,pairs:3,completionMax:8us [00m00s] 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [00m00s] # 594 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:45,nodes:10,pairs:5,completionMax:17us [00m00s] 594 ab:aab=b,abb=a infinite ab - - ab:bb=aa,aaa=a,aab=b,baa=b [00m00s] # 595 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:2us [00m00s] 595 ab:aab=b,baa=b infinite ab - - ab:aab=b,baa=b [00m00s] # 596 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:42,nodes:10,pairs:2,completionMax:6us [00m00s] 596 ab:aab=b,bab=a infinite ab - - ab:aaa=a,aab=b,baa=b,bab=a [00m00s] # 597 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [00m00s] 597 ab:aab=b,bab=b infinite ab - - ab:aab=b,bab=b [00m00s] # 598 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:42,nodes:10,pairs:2,completionMax:20us [00m00s] 598 ab:aab=b,bba=a infinite ab - - ab:aaa=a,aab=b,bba=a,bbb=b [00m00s] # 599 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:81,nodes:10,pairs:11,completionMax:23us [00m00s] 599 ab:aba=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m00s] from: 599 ab:aba=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m00s] # 600 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:5us [00m00s] 600 ab:aba=a,bab=b infinite ab - - ab:aba=a,bab=b [00m00s] # 601 solved: rounds:3,rules:4,peak:6,longest:5,steps:7,word:2,work:252,nodes:18,pairs:8,completionMax:34us [00m00s] 601 ab:aba=b,bab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=baaa,bb=aa [00m00s] # 602 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [00m00s] 602 ab:ab=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 602 ab:ab=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 603 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:6us [00m00s] 603 ab:ab=aa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 603 ab:ab=aa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 604 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:5us [00m00s] 604 ab:ab=aa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 604 ab:ab=aa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 605 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:3us [00m00s] 605 ab:ab=aa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 605 ab:ab=aa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 606 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:4us [00m00s] 606 ab:ab=aa,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 606 ab:ab=aa,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 607 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:9us [00m00s] 607 ab:ab=aa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 607 ab:ab=aa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 608 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:3us [00m00s] 608 ab:ab=aa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 608 ab:ab=aa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 609 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:9us [00m00s] 609 ab:ab=aa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 609 ab:ab=aa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 610 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:46,nodes:16,pairs:3,completionMax:15us [00m00s] 610 ab:ab=aa,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 610 ab:ab=aa,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 611 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:50,nodes:16,pairs:3,completionMax:13us [00m00s] 611 ab:ab=aa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 611 ab:ab=aa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 612 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:50,nodes:16,pairs:3,completionMax:22us [00m00s] 612 ab:ab=aa,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 612 ab:ab=aa,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 613 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:54,nodes:16,pairs:3,completionMax:12us [00m00s] 613 ab:ab=aa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 613 ab:ab=aa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 614 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:68,nodes:16,pairs:4,completionMax:20us [00m00s] 614 ab:ab=aa,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 614 ab:ab=aa,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 615 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:72,nodes:16,pairs:4,completionMax:16us [00m00s] 615 ab:ab=aa,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 615 ab:ab=aa,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 616 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:91,nodes:16,pairs:5,completionMax:19us [00m00s] 616 ab:ab=aa,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m00s] from: 616 ab:ab=aa,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m00s] # 617 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:32,nodes:16,pairs:1,completionMax:9us [00m00s] 617 ab:ab=aa,bbbb=1 finite:20;idempotents:1,aaaa,baaa,bbaa,bbba ab - - ab:ab=aa,bbbb=1,aaaaa=a [00m00s] # 618 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:19,nodes:10,pairs:0,completionMax:4us [00m00s] 618 ab:ba=ab,aaaa=1 infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 ab - - ab:ba=ab,aaaa=1 [00m00s] # 619 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:19,nodes:10,pairs:0,completionMax:3us [00m00s] 619 ab:ba=ab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 619 ab:ba=ab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 620 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:23,nodes:10,pairs:0,completionMax:6us [00m00s] 620 ab:ba=ab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m00s] from: 620 ab:ba=ab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m00s] # 621 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:5us [00m00s] 621 ab:ba=ab,aabb=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m00s] from: 621 ab:ba=ab,aabb=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m00s] # 622 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:5us [00m00s] 622 ab:ba=ab,abab=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m00s] from: 622 ab:ba=ab,abab=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m00s] # 623 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:4us [00m00s] 623 ab:ba=ab,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m00s] from: 623 ab:ba=ab,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m00s] # 624 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:35,nodes:12,pairs:1,completionMax:6us [00m00s] 624 ab:bb=aa,aaaa=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] from: 624 ab:bb=aa,aaaa=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m00s] # 625 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:4,work:19,nodes:16,pairs:4,completionMax:18us [00m00s] 625 ab:bb=aa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 625 ab:bb=aa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 626 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:4,work:348,nodes:20,pairs:10,completionMax:50us [00m00s] 626 ab:bb=aa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m00s] from: 626 ab:bb=aa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m00s] # 627 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:7us [00m00s] 627 ab:bb=aa,aabb=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] from: 627 ab:bb=aa,aabb=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m00s] # 628 solved: rounds:3,rules:3,peak:6,longest:9,steps:12,word:4,work:591,nodes:26,pairs:8,completionMax:52us [00m00s] 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aa [00m00s] # 629 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:6us [00m00s] 629 ab:bb=aa,abba=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m00s] from: 629 ab:bb=aa,abba=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m00s] # 630 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:2us [00m00s] 630 ab:ab=aa,aaa=a infinite ab - - ab:ab=aa,aaa=a [00m00s] from: 630 ab:ab=aa,aaa=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m00s] # 631 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:5us [00m00s] 631 ab:ab=aa,aaa=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [00m00s] from: 631 ab:ab=aa,aaa=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [00m00s] # 632 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:2us [00m00s] 632 ab:ab=aa,aab=a infinite ab - - ab:ab=aa,aaa=a [00m00s] from: 632 ab:ab=aa,aab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m00s] # 633 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:4us [00m00s] 633 ab:ab=aa,aab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [00m00s] from: 633 ab:ab=aa,aab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [00m00s] # 634 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:2us [00m00s] 634 ab:ab=aa,aba=a infinite ab - - ab:ab=aa,aaa=a [00m00s] from: 634 ab:ab=aa,aba=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m00s] # 635 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:5us [00m00s] 635 ab:ab=aa,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [00m00s] from: 635 ab:ab=aa,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [00m00s] # 636 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:3us [00m00s] 636 ab:ab=aa,abb=a infinite ab - - ab:ab=aa,aaa=a [00m00s] from: 636 ab:ab=aa,abb=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m00s] # 637 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:1,completionMax:4us [00m00s] 637 ab:ab=aa,abb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [00m00s] from: 637 ab:ab=aa,abb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [00m00s] # 638 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:105,nodes:12,pairs:3,completionMax:11us [00m00s] 638 ab:ab=aa,baa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m00s] from: 638 ab:ab=aa,baa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m00s] # 639 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:153,nodes:12,pairs:9,completionMax:30us [00m00s] 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=ab,bbb=b [00m00s] # 640 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:108,nodes:12,pairs:3,completionMax:21us [00m00s] 640 ab:ab=aa,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m00s] from: 640 ab:ab=aa,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m00s] # 641 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:150,nodes:12,pairs:9,completionMax:18us [00m00s] 641 ab:ab=aa,bab=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=ab,bbb=b [00m00s] from: 641 ab:ab=aa,bab=b finite:6;idempotents:1,ab,bb to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb a=a,b=b [00m00s] # 642 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:39,nodes:12,pairs:1,completionMax:11us [00m00s] 642 ab:ab=aa,bba=a infinite ab - - ab:ab=aa,bba=a,aaaa=aa [00m00s] # 643 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:29,nodes:8,pairs:4,completionMax:20us [00m00s] 643 ab:ab=aa,bba=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=ab,bbb=b [00m00s] from: 643 ab:ab=aa,bba=b finite:6;idempotents:1,ab,bb to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb a=a,b=b [00m00s] # 644 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:4,work:96,nodes:12,pairs:2,completionMax:15us [00m00s] 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbb=bbbb,a=bbb [00m00s] # 645 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:39,nodes:12,pairs:1,completionMax:7us [00m00s] 645 ab:ab=aa,bbb=b finite:12;idempotents:1,aa,bb,baaa,bbaa ab - - ab:ab=aa,bbb=b,aaaa=aa [00m00s] # 646 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:8,pairs:0,completionMax:4us [00m00s] 646 ab:ba=ab,aaa=a infinite;commutative:ab:a3=a;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaa=a [00m00s] # 647 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:2,work:1,nodes:4,pairs:0,completionMax:2us [00m00s] 647 ab:ba=ab,aaa=b infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaa [00m00s] from: 647 ab:ba=ab,aaa=b infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbb [00m00s] # 648 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:3us [00m00s] 648 ab:ba=ab,aab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m00s] from: 648 ab:ba=ab,aab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m00s] # 649 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:3us [00m00s] 649 ab:ba=ab,aab=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [00m00s] from: 649 ab:ba=ab,aab=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m00s] # 650 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:1us [00m00s] 650 ab:ba=ab,aba=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m00s] from: 650 ab:ba=ab,aba=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m00s] # 651 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:1us [00m00s] 651 ab:ba=ab,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [00m00s] from: 651 ab:ba=ab,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m00s] # 652 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:66,nodes:12,pairs:2,completionMax:16us [00m00s] 652 ab:bb=aa,aaa=a infinite ba - - ab:aa=bb,bba=a,abb=a,bbbb=bb [00m00s] # 653 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:39,nodes:12,pairs:2,completionMax:13us [00m00s] 653 ab:bb=aa,aaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaa [00m00s] from: 653 ab:bb=aa,aaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaa [00m00s] # 654 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:42,nodes:12,pairs:2,completionMax:10us [00m00s] 654 ab:bb=aa,aab=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbb=bb,a=bbb [00m00s] from: 654 ab:bb=aa,aab=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m00s] # 655 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:63,nodes:12,pairs:2,completionMax:11us [00m00s] 655 ab:bb=aa,aab=b infinite ab - - ab:bb=aa,aab=b,baa=b,aaaa=aa [00m00s] from: 655 ab:bb=aa,aab=b infinite to: 652 ab:bb=aa,aaa=a infinite a=b,b=a [00m00s] # 656 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:2,work:209,nodes:18,pairs:3,completionMax:24us [00m00s] 656 ab:bb=aa,aba=a finite:10;idempotents:1,ab,ba,aaaa;center:1,aa,aaa,aaaa,aaaaa a/b - - ab:aaaaaa=aa,baa=aaaaa,aba=a,aab=aaaaa,bb=aa [00m00s] # 657 solved: rounds:2,rules:3,peak:5,longest:7,steps:7,word:4,work:271,nodes:20,pairs:12,completionMax:39us [00m00s] 657 ab:bb=aa,aba=b finite:10;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,ba=abbb,aa=bb [00m00s] # 658 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 658 ab:ab=aa,ba=aa infinite;commutative:ab:ab=a2;saturation:a:;noncancellative:a,b,aa,aaa;smith:0 ab - - ab:ab=aa,ba=aa [00m00s] # 659 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:8,nodes:6,pairs:0,completionMax:5us [00m00s] 659 ab:ab=aa,ba=ab infinite;commutative:ab:ab=a2;saturation:a:;noncancellative:a,b,aa,aaa;smith:0 ab - - ab:ab=aa,ba=aa [00m00s] from: 659 ab:ab=aa,ba=ab infinite;commutative:ab:ab=a2;saturation:a:;noncancellative:a,b,aa,aaa;smith:0 to: 658 ab:ab=aa,ba=aa infinite;commutative:ab:ab=a2;saturation:a:;noncancellative:a,b,aa,aaa;smith:0 a=a,b=b [00m00s] # 660 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:5us [00m00s] 660 ab:ab=aa,bb=aa infinite ab - - ab:ab=aa,bb=aa,baa=aaa [00m00s] # 661 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:1,completionMax:14us [00m00s] 661 ab:ab=aa,bb=ab infinite ab - - ab:ab=aa,bb=aa,baa=aaa [00m00s] from: 661 ab:ab=aa,bb=ab infinite to: 660 ab:ab=aa,bb=aa infinite a=a,b=b [00m00s] # 662 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:12,nodes:6,pairs:0,completionMax:5us [00m00s] 662 ab:ab=aa,bb=ba infinite ab - - ab:ab=aa,bb=ba [00m00s] # 663 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:2us [00m00s] 663 ab:ba=ab,bb=aa infinite;commutative:ab:a2=b2;saturation:ab:a2=b2;cancellative;smith:2,0 ab - - ab:ba=ab,bb=aa [00m00s] # 664 solved: rounds:1,rules:1,peak:2,longest:3,steps:1,word:0,work:16,nodes:6,pairs:4,completionMax:12us [00m00s] 664 ab:aaa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 664 ab:aaa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 665 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:8us [00m00s] 665 ab:aaa=1,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 665 ab:aaa=1,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 666 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:4us [00m00s] 666 ab:aaa=1,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 666 ab:aaa=1,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 667 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:8,pairs:0,completionMax:2us [00m00s] 667 ab:aaa=1,aaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m00s] from: 667 ab:aaa=1,aaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m00s] # 668 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:99,nodes:14,pairs:15,completionMax:36us [00m00s] 668 ab:aaa=1,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 668 ab:aaa=1,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 669 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:88,nodes:14,pairs:7,completionMax:28us [00m00s] 669 ab:aaa=1,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m00s] from: 669 ab:aaa=1,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m00s] # 670 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:64,nodes:14,pairs:9,completionMax:23us [00m00s] 670 ab:aaa=1,aabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m00s] from: 670 ab:aaa=1,aabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m00s] # 671 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:71,nodes:18,pairs:7,completionMax:22us [00m00s] 671 ab:aaa=1,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 671 ab:aaa=1,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 672 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:169,nodes:18,pairs:12,completionMax:23us [00m00s] 672 ab:aaa=1,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m00s] from: 672 ab:aaa=1,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m00s] # 673 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:0,work:151,nodes:16,pairs:9,completionMax:19us [00m00s] 673 ab:aaa=1,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m00s] from: 673 ab:aaa=1,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m00s] # 674 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1077,nodes:26,pairs:33,completionMax:84us [00m00s] 674 ab:aaa=1,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 674 ab:aaa=1,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 675 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:214,nodes:22,pairs:11,completionMax:39us [00m00s] 675 ab:aaa=1,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 675 ab:aaa=1,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 676 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:156,nodes:20,pairs:11,completionMax:34us [00m00s] 676 ab:aaa=1,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 676 ab:aaa=1,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 677 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:95,nodes:32,pairs:5,completionMax:18us [00m00s] 677 ab:aaa=1,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m00s] from: 677 ab:aaa=1,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m00s] # 678 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m00s] 678 ab:aaa=1,baaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m00s] from: 678 ab:aaa=1,baaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m00s] # 679 solved: rounds:4,rules:2,peak:7,longest:10,steps:5,word:4,work:869,nodes:38,pairs:25,completionMax:98us [00m00s] 679 ab:aaa=1,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 679 ab:aaa=1,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 680 solved: rounds:2,rules:2,peak:4,longest:9,steps:6,word:4,work:197,nodes:22,pairs:5,completionMax:14us [00m00s] 680 ab:aaa=1,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 680 ab:aaa=1,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 681 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:481,nodes:24,pairs:10,completionMax:48us [00m00s] 681 ab:aaa=1,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m00s] from: 681 ab:aaa=1,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m00s] # 682 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:497,nodes:24,pairs:17,completionMax:54us [00m00s] 682 ab:aaa=1,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m00s] from: 682 ab:aaa=1,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m00s] # 683 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:4us [00m00s] 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [00m00s] # 684 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:7,nodes:10,pairs:2,completionMax:7us [00m00s] 684 ab:aab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 684 ab:aab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 685 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:4us [00m00s] 685 ab:aab=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 685 ab:aab=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 686 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:4us [00m00s] 686 ab:aab=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 686 ab:aab=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 687 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:2,completionMax:4us [00m00s] 687 ab:aab=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 687 ab:aab=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 688 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:2,completionMax:3us [00m00s] 688 ab:aab=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 688 ab:aab=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 689 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:2,completionMax:4us [00m00s] 689 ab:aab=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 689 ab:aab=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 690 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:38,nodes:8,pairs:8,completionMax:13us [00m00s] 690 ab:aab=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 690 ab:aab=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 691 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:11,nodes:8,pairs:3,completionMax:7us [00m00s] 691 ab:aab=1,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 691 ab:aab=1,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 692 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:198,nodes:14,pairs:21,completionMax:40us [00m00s] 692 ab:aab=1,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 692 ab:aab=1,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 693 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:2,completionMax:4us [00m00s] 693 ab:aab=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 693 ab:aab=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 694 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:85,nodes:14,pairs:12,completionMax:34us [00m00s] 694 ab:aab=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 694 ab:aab=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 695 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:27,nodes:12,pairs:3,completionMax:13us [00m00s] 695 ab:aab=1,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 695 ab:aab=1,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 696 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:183,nodes:16,pairs:14,completionMax:35us [00m00s] 696 ab:aab=1,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 696 ab:aab=1,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 697 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:78,nodes:16,pairs:11,completionMax:29us [00m00s] 697 ab:aab=1,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 697 ab:aab=1,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 698 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:233,nodes:16,pairs:13,completionMax:38us [00m00s] 698 ab:aab=1,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 698 ab:aab=1,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 699 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:123,nodes:16,pairs:12,completionMax:25us [00m00s] 699 ab:aab=1,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 699 ab:aab=1,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 700 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:218,nodes:16,pairs:13,completionMax:23us [00m00s] 700 ab:aab=1,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 700 ab:aab=1,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 701 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:16us [00m00s] 701 ab:aab=1,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 701 ab:aab=1,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 702 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:14us [00m00s] 702 ab:aab=1,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 702 ab:aab=1,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 703 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:12,nodes:8,pairs:3,completionMax:6us [00m00s] 703 ab:aab=1,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 703 ab:aab=1,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 704 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:214,nodes:18,pairs:16,completionMax:43us [00m00s] 704 ab:aab=1,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 704 ab:aab=1,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 705 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:86,nodes:14,pairs:9,completionMax:14us [00m00s] 705 ab:aab=1,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 705 ab:aab=1,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 706 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:456,nodes:22,pairs:20,completionMax:79us [00m00s] 706 ab:aab=1,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 706 ab:aab=1,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 707 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:219,nodes:18,pairs:15,completionMax:40us [00m00s] 707 ab:aab=1,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 707 ab:aab=1,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 708 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:133,nodes:18,pairs:10,completionMax:22us [00m00s] 708 ab:aab=1,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 708 ab:aab=1,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 709 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:13,nodes:8,pairs:3,completionMax:9us [00m00s] 709 ab:aab=1,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 709 ab:aab=1,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 710 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:230,nodes:20,pairs:26,completionMax:73us [00m00s] 710 ab:aab=1,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 710 ab:aab=1,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 711 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:350,nodes:18,pairs:27,completionMax:71us [00m00s] 711 ab:aab=1,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 711 ab:aab=1,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 712 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:239,nodes:16,pairs:15,completionMax:43us [00m00s] 712 ab:aab=1,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 712 ab:aab=1,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 713 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:745,nodes:26,pairs:24,completionMax:77us [00m00s] 713 ab:aab=1,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 713 ab:aab=1,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 714 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:535,nodes:16,pairs:32,completionMax:91us [00m00s] 714 ab:aab=1,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 714 ab:aab=1,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 715 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:248,nodes:20,pairs:17,completionMax:62us [00m00s] 715 ab:aab=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 715 ab:aab=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [00m00s] # 716 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:71,nodes:14,pairs:7,completionMax:36us [00m00s] 716 ab:aba=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 716 ab:aba=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 717 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:92,nodes:14,pairs:13,completionMax:31us [00m00s] 717 ab:aba=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 717 ab:aba=1,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 718 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:7,completionMax:21us [00m00s] 718 ab:aba=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 718 ab:aba=1,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 719 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:79,nodes:16,pairs:9,completionMax:29us [00m00s] 719 ab:aba=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 719 ab:aba=1,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 720 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:7,completionMax:13us [00m00s] 720 ab:aba=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 720 ab:aba=1,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 721 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:3,completionMax:13us [00m00s] 721 ab:aba=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 721 ab:aba=1,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 722 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:150,nodes:14,pairs:12,completionMax:37us [00m00s] 722 ab:aba=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 722 ab:aba=1,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 723 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:589,nodes:22,pairs:14,completionMax:57us [00m00s] 723 ab:aba=1,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 723 ab:aba=1,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 724 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:3,completionMax:7us [00m00s] 724 ab:aba=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 724 ab:aba=1,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 725 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:8,pairs:3,completionMax:7us [00m00s] 725 ab:aba=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 725 ab:aba=1,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 726 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:30,nodes:10,pairs:3,completionMax:9us [00m00s] 726 ab:aba=1,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 726 ab:aba=1,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 727 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:171,nodes:14,pairs:12,completionMax:33us [00m00s] 727 ab:aba=1,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 727 ab:aba=1,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 728 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:1,work:211,nodes:16,pairs:17,completionMax:65us [00m00s] 728 ab:aba=1,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 728 ab:aba=1,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 729 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:431,nodes:16,pairs:13,completionMax:44us [00m00s] 729 ab:aba=1,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 729 ab:aba=1,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 730 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:88,nodes:16,pairs:19,completionMax:32us [00m00s] 730 ab:aba=1,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 730 ab:aba=1,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 731 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:200,nodes:16,pairs:11,completionMax:24us [00m00s] 731 ab:aba=1,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 731 ab:aba=1,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 732 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:31,nodes:10,pairs:3,completionMax:8us [00m00s] 732 ab:aba=1,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 732 ab:aba=1,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 733 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:4,work:195,nodes:16,pairs:15,completionMax:30us [00m00s] 733 ab:aba=1,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 733 ab:aba=1,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 734 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:235,nodes:14,pairs:14,completionMax:26us [00m00s] 734 ab:aba=1,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 734 ab:aba=1,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 735 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:503,nodes:20,pairs:12,completionMax:56us [00m00s] 735 ab:aba=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 735 ab:aba=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [00m00s] # 736 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:2us [00m00s] 736 ab:aaa=1,aaaa=a infinite ab - - ab:aaa=1 [00m00s] # 737 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [00m00s] 737 ab:aaa=1,aaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 737 ab:aaa=1,aaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 738 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [00m00s] 738 ab:aaa=1,aaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 738 ab:aaa=1,aaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 739 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:0us [00m00s] 739 ab:aaa=1,aaab=b infinite ab - - ab:aaa=1 [00m00s] from: 739 ab:aaa=1,aaab=b infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [00m00s] # 740 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:51,nodes:10,pairs:6,completionMax:17us [00m00s] 740 ab:aaa=1,aaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 740 ab:aaa=1,aaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 741 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:46,nodes:10,pairs:4,completionMax:11us [00m00s] 741 ab:aaa=1,aaba=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [00m00s] from: 741 ab:aaa=1,aaba=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [00m00s] # 742 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:66,nodes:16,pairs:7,completionMax:22us [00m00s] 742 ab:aaa=1,aabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 742 ab:aaa=1,aabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 743 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:3,completionMax:9us [00m00s] 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [00m00s] # 744 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:246,nodes:14,pairs:20,completionMax:46us [00m00s] 744 ab:aaa=1,abab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 744 ab:aaa=1,abab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 745 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:126,nodes:16,pairs:5,completionMax:32us [00m00s] 745 ab:aaa=1,abab=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [00m00s] from: 745 ab:aaa=1,abab=b finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [00m00s] # 746 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:102,nodes:14,pairs:10,completionMax:31us [00m00s] 746 ab:aaa=1,abba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 746 ab:aaa=1,abba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 747 solved: rounds:4,rules:6,peak:7,longest:6,steps:11,word:0,work:1814,nodes:30,pairs:10,completionMax:74us [00m00s] 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [00m00s] # 748 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:3,nodes:14,pairs:1,completionMax:18us [00m00s] 748 ab:aaa=1,abbb=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] from: 748 ab:aaa=1,abbb=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [00m00s] # 749 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:55,nodes:18,pairs:5,completionMax:14us [00m00s] 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [00m00s] # 750 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:12,pairs:0,completionMax:1us [00m00s] 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [00m00s] # 751 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:12,pairs:0,completionMax:3us [00m00s] 751 ab:aaa=1,baab=b infinite ab - - ab:aaa=1,baab=b [00m00s] # 752 solved: rounds:3,rules:3,peak:6,longest:9,steps:20,word:54,work:2819,nodes:30,pairs:27,completionMax:92us [00m00s] 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [00m00s] # 753 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:12,pairs:0,completionMax:1us [00m00s] 753 ab:aaa=1,babb=b infinite ab - - ab:aaa=1,babb=b [00m00s] # 754 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:68,nodes:24,pairs:3,completionMax:32us [00m00s] 754 ab:aaa=1,bbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [00m00s] from: 754 ab:aaa=1,bbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [00m00s] # 755 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:12,pairs:0,completionMax:10us [00m00s] 755 ab:aaa=1,bbbb=b infinite ab - - ab:aaa=1,bbbb=b [00m00s] # 756 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:8,pairs:4,completionMax:29us [00m00s] 756 ab:aab=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 756 ab:aab=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 757 solved: rounds:1,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:1,completionMax:6us [00m00s] 757 ab:aab=1,aaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 757 ab:aab=1,aaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 758 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [00m00s] 758 ab:aab=1,aaab=a infinite ab - - ab:aab=1 [00m00s] # 759 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:2us [00m00s] 759 ab:aab=1,aaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 759 ab:aab=1,aaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 760 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:2us [00m00s] 760 ab:aab=1,aaba=a infinite ab - - ab:aab=1 [00m00s] from: 760 ab:aab=1,aaba=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 761 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:4us [00m00s] 761 ab:aab=1,aaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 761 ab:aab=1,aaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 762 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:1,completionMax:3us [00m00s] 762 ab:aab=1,aabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 762 ab:aab=1,aabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 763 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:0us [00m00s] 763 ab:aab=1,aabb=b infinite ab - - ab:aab=1 [00m00s] from: 763 ab:aab=1,aabb=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 764 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:10,pairs:3,completionMax:15us [00m00s] 764 ab:aab=1,abaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 764 ab:aab=1,abaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 765 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:217,nodes:16,pairs:14,completionMax:47us [00m00s] 765 ab:aab=1,abaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 765 ab:aab=1,abaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 766 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:38,nodes:10,pairs:6,completionMax:12us [00m00s] 766 ab:aab=1,abab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 766 ab:aab=1,abab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 767 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:37,nodes:14,pairs:1,completionMax:8us [00m00s] 767 ab:aab=1,abab=b infinite ab - - ab:aab=1,bab=abb [00m00s] # 768 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:97,nodes:12,pairs:11,completionMax:18us [00m00s] 768 ab:aab=1,abba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 768 ab:aab=1,abba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 769 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:42,nodes:12,pairs:3,completionMax:11us [00m00s] 769 ab:aab=1,abba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 769 ab:aab=1,abba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 770 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:44,nodes:14,pairs:5,completionMax:13us [00m00s] 770 ab:aab=1,abbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 770 ab:aab=1,abbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 771 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:44,nodes:12,pairs:5,completionMax:18us [00m00s] 771 ab:aab=1,abbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 771 ab:aab=1,abbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 772 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:30,nodes:12,pairs:2,completionMax:14us [00m00s] 772 ab:aab=1,baaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 772 ab:aab=1,baaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 773 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:96,nodes:12,pairs:7,completionMax:27us [00m00s] 773 ab:aab=1,baaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 773 ab:aab=1,baaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 774 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:2us [00m00s] 774 ab:aab=1,baab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 774 ab:aab=1,baab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 775 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [00m00s] 775 ab:aab=1,baab=b infinite ab - - ab:aab=1 [00m00s] from: 775 ab:aab=1,baab=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 776 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:182,nodes:14,pairs:20,completionMax:44us [00m00s] 776 ab:aab=1,baba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 776 ab:aab=1,baba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 777 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:58,nodes:16,pairs:5,completionMax:19us [00m00s] 777 ab:aab=1,baba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 777 ab:aab=1,baba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 778 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:233,nodes:22,pairs:9,completionMax:44us [00m00s] 778 ab:aab=1,babb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 778 ab:aab=1,babb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 779 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:26,nodes:14,pairs:4,completionMax:14us [00m00s] 779 ab:aab=1,babb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 779 ab:aab=1,babb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 780 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:151,nodes:16,pairs:19,completionMax:44us [00m00s] 780 ab:aab=1,bbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 780 ab:aab=1,bbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 781 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:79,nodes:14,pairs:7,completionMax:30us [00m00s] 781 ab:aab=1,bbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 781 ab:aab=1,bbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 782 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:213,nodes:20,pairs:23,completionMax:80us [00m00s] 782 ab:aab=1,bbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 782 ab:aab=1,bbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 783 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:80,nodes:14,pairs:9,completionMax:32us [00m00s] 783 ab:aab=1,bbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 783 ab:aab=1,bbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 784 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:213,nodes:18,pairs:15,completionMax:55us [00m00s] 784 ab:aab=1,bbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 784 ab:aab=1,bbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 785 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:243,nodes:12,pairs:27,completionMax:57us [00m00s] 785 ab:aab=1,bbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 785 ab:aab=1,bbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 786 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:263,nodes:18,pairs:15,completionMax:58us [00m00s] 786 ab:aab=1,bbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 786 ab:aab=1,bbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 787 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:66,nodes:14,pairs:6,completionMax:33us [00m00s] 787 ab:aab=1,bbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 787 ab:aab=1,bbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 788 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:60,nodes:12,pairs:8,completionMax:16us [00m00s] 788 ab:aba=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 788 ab:aba=1,aaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 789 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:3,nodes:12,pairs:1,completionMax:8us [00m00s] 789 ab:aba=1,aaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 789 ab:aba=1,aaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 790 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:30,nodes:12,pairs:2,completionMax:16us [00m00s] 790 ab:aba=1,aaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 790 ab:aba=1,aaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 791 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:95,nodes:12,pairs:10,completionMax:33us [00m00s] 791 ab:aba=1,aaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 791 ab:aba=1,aaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 792 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:2,completionMax:9us [00m00s] 792 ab:aba=1,aaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 792 ab:aba=1,aaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 793 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:1,completionMax:4us [00m00s] 793 ab:aba=1,aaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 793 ab:aba=1,aaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 794 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:12,pairs:8,completionMax:26us [00m00s] 794 ab:aba=1,aabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 794 ab:aba=1,aabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 795 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:27,nodes:12,pairs:2,completionMax:11us [00m00s] 795 ab:aba=1,aabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 795 ab:aba=1,aabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 796 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:2us [00m00s] 796 ab:aba=1,abab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 796 ab:aba=1,abab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 797 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:2,completionMax:7us [00m00s] 797 ab:aba=1,abab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 797 ab:aba=1,abab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 798 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:81,nodes:10,pairs:8,completionMax:20us [00m00s] 798 ab:aba=1,abba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 798 ab:aba=1,abba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 799 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:51,nodes:10,pairs:5,completionMax:14us [00m00s] 799 ab:aba=1,abba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 799 ab:aba=1,abba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 800 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:128,nodes:12,pairs:9,completionMax:22us [00m00s] 800 ab:aba=1,abbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 800 ab:aba=1,abbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 801 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:183,nodes:12,pairs:8,completionMax:17us [00m00s] 801 ab:aba=1,abbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 801 ab:aba=1,abbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 802 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:74,nodes:12,pairs:12,completionMax:23us [00m00s] 802 ab:aba=1,baab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 802 ab:aba=1,baab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 803 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:39,nodes:12,pairs:2,completionMax:10us [00m00s] 803 ab:aba=1,baab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 803 ab:aba=1,baab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 804 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:238,nodes:12,pairs:17,completionMax:32us [00m00s] 804 ab:aba=1,babb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 804 ab:aba=1,babb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 805 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:98,nodes:12,pairs:6,completionMax:21us [00m00s] 805 ab:aba=1,babb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 805 ab:aba=1,babb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 806 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:308,nodes:18,pairs:12,completionMax:36us [00m00s] 806 ab:aba=1,bbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 806 ab:aba=1,bbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 807 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:142,nodes:12,pairs:9,completionMax:37us [00m00s] 807 ab:aba=1,bbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 807 ab:aba=1,bbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 808 solved: rounds:0,rules:1,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:2us [00m00s] 808 ab:aa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 808 ab:aa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 809 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:4,pairs:2,completionMax:5us [00m00s] 809 ab:aa=a,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 809 ab:aa=a,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 810 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:6,pairs:5,completionMax:7us [00m00s] 810 ab:aa=a,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 810 ab:aa=a,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 811 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:10us [00m00s] 811 ab:aa=a,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 811 ab:aa=a,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 812 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:6,pairs:5,completionMax:10us [00m00s] 812 ab:aa=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 812 ab:aa=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 813 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:3,completionMax:7us [00m00s] 813 ab:aa=a,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 813 ab:aa=a,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 814 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:28,nodes:8,pairs:5,completionMax:10us [00m00s] 814 ab:aa=a,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 814 ab:aa=a,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 815 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:7us [00m00s] 815 ab:aa=a,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 815 ab:aa=a,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 816 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:3,completionMax:6us [00m00s] 816 ab:aa=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 816 ab:aa=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 817 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:45,nodes:10,pairs:7,completionMax:9us [00m00s] 817 ab:aa=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 817 ab:aa=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 818 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:10,pairs:3,completionMax:8us [00m00s] 818 ab:aa=a,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 818 ab:aa=a,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 819 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:10,pairs:4,completionMax:4us [00m00s] 819 ab:aa=a,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 819 ab:aa=a,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 820 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:31,nodes:10,pairs:5,completionMax:7us [00m00s] 820 ab:aa=a,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 820 ab:aa=a,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 821 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:10,pairs:2,completionMax:8us [00m00s] 821 ab:aa=a,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 821 ab:aa=a,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 822 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:7,completionMax:9us [00m00s] 822 ab:aa=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 822 ab:aa=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 823 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:216,nodes:16,pairs:14,completionMax:24us [00m00s] 823 ab:aa=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 823 ab:aa=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 824 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:96,nodes:12,pairs:9,completionMax:18us [00m00s] 824 ab:aa=a,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 824 ab:aa=a,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 825 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:474,nodes:24,pairs:21,completionMax:71us [00m00s] 825 ab:aa=a,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 825 ab:aa=a,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 826 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:345,nodes:22,pairs:12,completionMax:51us [00m00s] 826 ab:aa=a,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 826 ab:aa=a,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 827 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:6us [00m00s] 827 ab:aa=a,bbbbb=1 infinite ab - - ab:aa=a,bbbbb=1 [00m00s] # 828 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:4us [00m00s] 828 ab:aa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 828 ab:aa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 829 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:5,nodes:12,pairs:0,completionMax:4us [00m00s] 829 ab:aa=b,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 829 ab:aa=b,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 830 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:4,nodes:12,pairs:0,completionMax:4us [00m00s] 830 ab:aa=b,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 830 ab:aa=b,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 831 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:10,nodes:14,pairs:0,completionMax:5us [00m00s] 831 ab:aa=b,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 831 ab:aa=b,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 832 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:3,nodes:12,pairs:0,completionMax:3us [00m00s] 832 ab:aa=b,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 832 ab:aa=b,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 833 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:9,nodes:14,pairs:0,completionMax:2us [00m00s] 833 ab:aa=b,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 833 ab:aa=b,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 834 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:8,nodes:14,pairs:0,completionMax:5us [00m00s] 834 ab:aa=b,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 834 ab:aa=b,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 835 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:15,nodes:16,pairs:0,completionMax:4us [00m00s] 835 ab:aa=b,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 835 ab:aa=b,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 836 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:8,nodes:14,pairs:0,completionMax:3us [00m00s] 836 ab:aa=b,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 836 ab:aa=b,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 837 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:7,nodes:14,pairs:0,completionMax:3us [00m00s] 837 ab:aa=b,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 837 ab:aa=b,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 838 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:14,nodes:16,pairs:0,completionMax:3us [00m00s] 838 ab:aa=b,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 838 ab:aa=b,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 839 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:13,nodes:16,pairs:0,completionMax:5us [00m00s] 839 ab:aa=b,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 839 ab:aa=b,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 840 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:12,nodes:16,pairs:0,completionMax:5us [00m00s] 840 ab:aa=b,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 840 ab:aa=b,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 841 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:20,nodes:18,pairs:0,completionMax:5us [00m00s] 841 ab:aa=b,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 841 ab:aa=b,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 842 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:7,nodes:14,pairs:0,completionMax:3us [00m00s] 842 ab:aa=b,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 842 ab:aa=b,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 843 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:13,nodes:16,pairs:0,completionMax:5us [00m00s] 843 ab:aa=b,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 843 ab:aa=b,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 844 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:12,nodes:16,pairs:0,completionMax:3us [00m00s] 844 ab:aa=b,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 844 ab:aa=b,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 845 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:19,nodes:18,pairs:0,completionMax:5us [00m00s] 845 ab:aa=b,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 845 ab:aa=b,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 846 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:18,nodes:18,pairs:0,completionMax:5us [00m00s] 846 ab:aa=b,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 846 ab:aa=b,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 847 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:25,nodes:20,pairs:0,completionMax:6us [00m00s] 847 ab:aa=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 847 ab:aa=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 848 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:8us [00m00s] 848 ab:ab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 848 ab:ab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 849 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:9us [00m00s] 849 ab:ab=a,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 849 ab:ab=a,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 850 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:6us [00m00s] 850 ab:ab=a,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 850 ab:ab=a,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 851 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:8us [00m00s] 851 ab:ab=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 851 ab:ab=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 852 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:8us [00m00s] 852 ab:ab=a,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 852 ab:ab=a,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 853 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:2us [00m00s] 853 ab:ab=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 853 ab:ab=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 854 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:3us [00m00s] 854 ab:ab=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 854 ab:ab=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 855 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:5us [00m00s] 855 ab:ab=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 855 ab:ab=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 856 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:3us [00m00s] 856 ab:ab=a,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 856 ab:ab=a,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 857 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:3us [00m00s] 857 ab:ab=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 857 ab:ab=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 858 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:2us [00m00s] 858 ab:ab=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 858 ab:ab=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 859 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [00m00s] 859 ab:ab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 859 ab:ab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 860 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [00m00s] 860 ab:ab=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 860 ab:ab=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 861 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:4us [00m00s] 861 ab:ab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 861 ab:ab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 862 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:5us [00m00s] 862 ab:ab=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 862 ab:ab=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 863 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:3us [00m00s] 863 ab:ab=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 863 ab:ab=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 864 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:42,nodes:18,pairs:3,completionMax:15us [00m00s] 864 ab:ab=a,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 864 ab:ab=a,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 865 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:38,nodes:14,pairs:3,completionMax:17us [00m00s] 865 ab:ab=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 865 ab:ab=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 866 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:14,pairs:3,completionMax:13us [00m00s] 866 ab:ab=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 866 ab:ab=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 867 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:10,pairs:3,completionMax:13us [00m00s] 867 ab:ab=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 867 ab:ab=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 868 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:36,nodes:14,pairs:3,completionMax:11us [00m00s] 868 ab:ab=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 868 ab:ab=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 869 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:10,pairs:3,completionMax:11us [00m00s] 869 ab:ab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 869 ab:ab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 870 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:10,pairs:3,completionMax:6us [00m00s] 870 ab:ab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 870 ab:ab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 871 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:3,completionMax:7us [00m00s] 871 ab:ab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 871 ab:ab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 872 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:44,nodes:16,pairs:4,completionMax:12us [00m00s] 872 ab:ab=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 872 ab:ab=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 873 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:38,nodes:12,pairs:4,completionMax:7us [00m00s] 873 ab:ab=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 873 ab:ab=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 874 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:37,nodes:12,pairs:4,completionMax:17us [00m00s] 874 ab:ab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 874 ab:ab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 875 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:29,nodes:8,pairs:4,completionMax:10us [00m00s] 875 ab:ab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 875 ab:ab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 876 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:44,nodes:14,pairs:5,completionMax:20us [00m00s] 876 ab:ab=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 876 ab:ab=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 877 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:35,nodes:10,pairs:5,completionMax:8us [00m00s] 877 ab:ab=a,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 877 ab:ab=a,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 878 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:41,nodes:12,pairs:6,completionMax:14us [00m00s] 878 ab:ab=a,bbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 878 ab:ab=a,bbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 879 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:8,nodes:12,pairs:0,completionMax:6us [00m00s] 879 ab:ab=a,bbbbb=1 infinite ab - - ab:ab=a,bbbbb=1 [00m00s] # 880 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [00m00s] 880 ab:aa=a,aaaa=a infinite ab - - ab:aa=a [00m00s] from: 880 ab:aa=a,aaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 881 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:4us [00m00s] 881 ab:aa=a,aaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 881 ab:aa=a,aaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 882 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:2us [00m00s] 882 ab:aa=a,aaab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 882 ab:aa=a,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 883 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:2us [00m00s] 883 ab:aa=a,aaab=b infinite ab - - ab:aa=a,ab=b [00m00s] from: 883 ab:aa=a,aaab=b infinite to: 56 ab:aa=a,ab=b infinite a=a,b=b [00m00s] # 884 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:22,nodes:6,pairs:0,completionMax:3us [00m00s] 884 ab:aa=a,aaba=a infinite ab - - ab:aa=a,aba=a [00m00s] from: 884 ab:aa=a,aaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 885 solved: rounds:1,rules:3,peak:4,longest:3,steps:1,word:0,work:38,nodes:8,pairs:3,completionMax:12us [00m00s] 885 ab:aa=a,aaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [00m00s] from: 885 ab:aa=a,aaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [00m00s] # 886 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:3us [00m00s] 886 ab:aa=a,aabb=a infinite ab - - ab:aa=a,abb=a [00m00s] from: 886 ab:aa=a,aabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 887 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:6us [00m00s] 887 ab:aa=a,aabb=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] from: 887 ab:aa=a,aabb=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [00m00s] # 888 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:61,nodes:8,pairs:5,completionMax:18us [00m00s] 888 ab:aa=a,abab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m00s] # 889 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:16us [00m00s] 889 ab:aa=a,abab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] from: 889 ab:aa=a,abab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [00m00s] # 890 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:8,pairs:0,completionMax:2us [00m00s] 890 ab:aa=a,abba=a infinite ab - - ab:aa=a,abba=a [00m00s] # 891 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:67,nodes:10,pairs:7,completionMax:14us [00m00s] 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [00m00s] # 892 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:9us [00m00s] 892 ab:aa=a,abbb=a infinite ab - - ab:aa=a,abbb=a [00m00s] # 893 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:23,nodes:8,pairs:2,completionMax:24us [00m00s] 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [00m00s] # 894 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:51,nodes:8,pairs:3,completionMax:23us [00m00s] 894 ab:aa=a,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 894 ab:aa=a,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 895 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [00m00s] 895 ab:aa=a,baab=b infinite ab - - ab:aa=a,bab=b [00m00s] from: 895 ab:aa=a,baab=b infinite to: 244 ab:aa=a,bab=b infinite a=a,b=b [00m00s] # 896 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:769,nodes:24,pairs:5,completionMax:54us [00m00s] 896 ab:aa=a,babb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [00m00s] # 897 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [00m00s] 897 ab:aa=a,babb=b infinite ab - - ab:aa=a,babb=b [00m00s] # 898 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:6,work:92,nodes:16,pairs:2,completionMax:20us [00m00s] 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbb=bbbb,a=bbbb [00m00s] # 899 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:13us [00m00s] 899 ab:aa=a,bbbb=b infinite ab - - ab:aa=a,bbbb=b [00m00s] # 900 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:3us [00m00s] 900 ab:aa=b,aaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 900 ab:aa=b,aaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 901 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:17,nodes:8,pairs:0,completionMax:8us [00m00s] 901 ab:aa=b,aaaa=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 901 ab:aa=b,aaaa=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 902 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:14,nodes:10,pairs:0,completionMax:4us [00m00s] 902 ab:aa=b,aaab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [00m00s] from: 902 ab:aa=b,aaab=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 903 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:25,nodes:10,pairs:0,completionMax:4us [00m00s] 903 ab:aa=b,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 903 ab:aa=b,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 904 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:13,nodes:10,pairs:0,completionMax:5us [00m00s] 904 ab:aa=b,aaba=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [00m00s] from: 904 ab:aa=b,aaba=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 905 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:24,nodes:10,pairs:0,completionMax:4us [00m00s] 905 ab:aa=b,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 905 ab:aa=b,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 906 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:20,nodes:12,pairs:0,completionMax:4us [00m00s] 906 ab:aa=b,aabb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 906 ab:aa=b,aabb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 907 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:33,nodes:12,pairs:0,completionMax:4us [00m00s] 907 ab:aa=b,aabb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 907 ab:aa=b,aabb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 908 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:19,nodes:12,pairs:0,completionMax:3us [00m00s] 908 ab:aa=b,abab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 908 ab:aa=b,abab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 909 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:32,nodes:12,pairs:0,completionMax:3us [00m00s] 909 ab:aa=b,abab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 909 ab:aa=b,abab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 910 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:18,nodes:12,pairs:0,completionMax:5us [00m00s] 910 ab:aa=b,abba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 910 ab:aa=b,abba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 911 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:31,nodes:12,pairs:0,completionMax:2us [00m00s] 911 ab:aa=b,abba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 911 ab:aa=b,abba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 912 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:26,nodes:14,pairs:0,completionMax:4us [00m00s] 912 ab:aa=b,abbb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 912 ab:aa=b,abbb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 913 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:41,nodes:14,pairs:0,completionMax:3us [00m00s] 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] # 914 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:18,nodes:12,pairs:0,completionMax:4us [00m00s] 914 ab:aa=b,baab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 914 ab:aa=b,baab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 915 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:31,nodes:12,pairs:0,completionMax:3us [00m00s] 915 ab:aa=b,baab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 915 ab:aa=b,baab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 916 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:25,nodes:14,pairs:0,completionMax:6us [00m00s] 916 ab:aa=b,babb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 916 ab:aa=b,babb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 917 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:40,nodes:14,pairs:0,completionMax:4us [00m00s] 917 ab:aa=b,babb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 917 ab:aa=b,babb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 918 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:32,nodes:16,pairs:0,completionMax:3us [00m00s] 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] # 919 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:49,nodes:16,pairs:0,completionMax:3us [00m00s] 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] # 920 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:5us [00m00s] 920 ab:ab=a,aaaa=a infinite ab - - ab:ab=a,aaaa=a [00m00s] # 921 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:4us [00m00s] 921 ab:ab=a,aaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [00m00s] from: 921 ab:ab=a,aaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m00s] # 922 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:1us [00m00s] 922 ab:ab=a,aaab=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 922 ab:ab=a,aaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 923 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:1,completionMax:12us [00m00s] 923 ab:ab=a,aaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 923 ab:ab=a,aaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 924 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:7us [00m00s] 924 ab:ab=a,aaba=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 924 ab:ab=a,aaba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 925 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:1,completionMax:10us [00m00s] 925 ab:ab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 925 ab:ab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 926 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:4,pairs:0,completionMax:3us [00m00s] 926 ab:ab=a,aabb=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 926 ab:ab=a,aabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 927 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:8us [00m00s] 927 ab:ab=a,aabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 927 ab:ab=a,aabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 928 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:6,pairs:0,completionMax:6us [00m00s] 928 ab:ab=a,abaa=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 928 ab:ab=a,abaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 929 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:9us [00m00s] 929 ab:ab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 929 ab:ab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 930 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:13,nodes:4,pairs:0,completionMax:6us [00m00s] 930 ab:ab=a,abab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 930 ab:ab=a,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 931 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:10us [00m00s] 931 ab:ab=a,abab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 931 ab:ab=a,abab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 932 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:5us [00m00s] 932 ab:ab=a,abba=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 932 ab:ab=a,abba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 933 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:9us [00m00s] 933 ab:ab=a,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 933 ab:ab=a,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 934 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:3us [00m00s] 934 ab:ab=a,abbb=a infinite ab - - ab:ab=a [00m00s] from: 934 ab:ab=a,abbb=a infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 935 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:5us [00m00s] 935 ab:ab=a,abbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 935 ab:ab=a,abbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 936 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:141,nodes:14,pairs:5,completionMax:57us [00m00s] 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m00s] # 937 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:42,nodes:14,pairs:2,completionMax:31us [00m00s] 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [00m00s] # 938 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:85,nodes:10,pairs:3,completionMax:38us [00m00s] 938 ab:ab=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 938 ab:ab=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 939 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:39,nodes:10,pairs:2,completionMax:10us [00m00s] 939 ab:ab=a,baab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 939 ab:ab=a,baab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 940 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:84,nodes:10,pairs:3,completionMax:20us [00m00s] 940 ab:ab=a,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 940 ab:ab=a,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 941 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:38,nodes:10,pairs:2,completionMax:15us [00m00s] 941 ab:ab=a,baba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 941 ab:ab=a,baba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 942 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:2us [00m00s] 942 ab:ab=a,babb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 942 ab:ab=a,babb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 943 solved: rounds:1,rules:4,peak:4,longest:2,steps:2,word:0,work:34,nodes:6,pairs:2,completionMax:12us [00m00s] 943 ab:ab=a,babb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 943 ab:ab=a,babb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 944 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:91,nodes:12,pairs:3,completionMax:33us [00m00s] 944 ab:ab=a,bbaa=a infinite ab - - ab:aa=a,ab=a,bba=a [00m00s] # 945 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:59,nodes:12,pairs:4,completionMax:33us [00m00s] 945 ab:ab=a,bbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 945 ab:ab=a,bbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 946 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:6us [00m00s] 946 ab:ab=a,bbab=a infinite ab - - ab:ab=a,bba=a [00m00s] from: 946 ab:ab=a,bbab=a infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [00m00s] # 947 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:51,nodes:8,pairs:4,completionMax:27us [00m00s] 947 ab:ab=a,bbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 947 ab:ab=a,bbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 948 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:10,nodes:10,pairs:0,completionMax:2us [00m00s] 948 ab:ab=a,bbba=a infinite ab - - ab:ab=a,bbba=a [00m00s] # 949 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:60,nodes:10,pairs:5,completionMax:18us [00m00s] 949 ab:ab=a,bbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 949 ab:ab=a,bbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 950 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:3,work:101,nodes:10,pairs:1,completionMax:11us [00m00s] 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbbb [00m00s] # 951 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:10,pairs:0,completionMax:8us [00m00s] 951 ab:ab=a,bbbb=b infinite ab - - ab:ab=a,bbbb=b [00m00s] # 952 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:1us [00m00s] 952 ab:aa=a,aaa=aa infinite ab - - ab:aa=a [00m00s] from: 952 ab:aa=a,aaa=aa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 953 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:2us [00m00s] 953 ab:aa=a,aaa=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 953 ab:aa=a,aaa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 954 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:2,work:38,nodes:8,pairs:2,completionMax:5us [00m00s] 954 ab:aa=a,aaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [00m00s] from: 954 ab:aa=a,aaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bb,b=b [00m00s] # 955 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:12,nodes:4,pairs:0,completionMax:1us [00m00s] 955 ab:aa=a,aab=aa infinite ab - - ab:aa=a,ab=a [00m00s] from: 955 ab:aa=a,aab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 956 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:9us [00m00s] 956 ab:aa=a,aab=ab infinite ab - - ab:aa=a [00m00s] from: 956 ab:aa=a,aab=ab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 957 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m00s] 957 ab:aa=a,aab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [00m00s] from: 957 ab:aa=a,aab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [00m00s] # 958 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:41,nodes:8,pairs:1,completionMax:13us [00m00s] 958 ab:aa=a,aab=bb finite:6;idempotents:1,a,bb,bba ba - - ab:ab=bb,aa=a,bbb=bb [00m00s] # 959 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:22,nodes:6,pairs:0,completionMax:9us [00m00s] 959 ab:aa=a,aba=aa infinite ab - - ab:aa=a,aba=a [00m00s] from: 959 ab:aa=a,aba=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 960 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:55,nodes:9,pairs:5,completionMax:12us [00m00s] 960 ab:aa=a,aba=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [00m00s] # 961 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:98,nodes:10,pairs:1,completionMax:26us [00m00s] 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [00m00s] # 962 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:10us [00m00s] 962 ab:aa=a,abb=aa infinite ab - - ab:aa=a,abb=a [00m00s] from: 962 ab:aa=a,abb=aa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 963 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [00m00s] 963 ab:aa=a,abb=ab infinite ab - - ab:aa=a,abb=ab [00m00s] # 964 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:87,nodes:12,pairs:1,completionMax:13us [00m00s] 964 ab:aa=a,abb=ba infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [00m00s] # 965 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:0,completionMax:5us [00m00s] 965 ab:aa=a,abb=bb infinite ab - - ab:aa=a,abb=bb [00m00s] # 966 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:8,pairs:3,completionMax:18us [00m00s] 966 ab:aa=a,bab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 966 ab:aa=a,bab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 967 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:2us [00m00s] 967 ab:aa=a,bab=ab infinite ab - - ab:aa=a,bab=ab [00m00s] # 968 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [00m00s] 968 ab:aa=a,bab=bb infinite ab - - ab:aa=a,bab=bb [00m00s] # 969 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:4,work:61,nodes:12,pairs:2,completionMax:11us [00m00s] 969 ab:aa=a,bbb=aa finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbb [00m00s] from: 969 ab:aa=a,bbb=aa finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [00m00s] # 970 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:65,nodes:12,pairs:1,completionMax:9us [00m00s] 970 ab:aa=a,bbb=ab finite:10;idempotents:1,a,bbbb,bbbba b/a - - ab:bbbbb=bbb,ab=bbb,aa=a [00m00s] # 971 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [00m00s] 971 ab:aa=a,bbb=bb infinite ab - - ab:aa=a,bbb=bb [00m00s] # 972 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:2us [00m00s] 972 ab:aa=b,aaa=aa finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m00s] from: 972 ab:aa=b,aaa=aa finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m00s] # 973 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:2,nodes:2,pairs:0,completionMax:1us [00m00s] 973 ab:aa=b,aaa=ab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 973 ab:aa=b,aaa=ab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 974 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:2,work:52,nodes:8,pairs:0,completionMax:3us [00m00s] 974 ab:aa=b,aaa=bb finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 974 ab:aa=b,aaa=bb finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 975 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:19,nodes:8,pairs:0,completionMax:3us [00m00s] 975 ab:aa=b,aab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 975 ab:aa=b,aab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 976 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:53,nodes:8,pairs:0,completionMax:2us [00m00s] 976 ab:aa=b,aab=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 976 ab:aa=b,aab=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 977 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:52,nodes:8,pairs:0,completionMax:2us [00m00s] 977 ab:aa=b,aab=ba finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 977 ab:aa=b,aab=ba finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 978 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:7,nodes:2,pairs:0,completionMax:0us [00m00s] 978 ab:aa=b,aab=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 978 ab:aa=b,aab=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 979 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:18,nodes:8,pairs:0,completionMax:2us [00m00s] 979 ab:aa=b,aba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 979 ab:aa=b,aba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 980 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:52,nodes:8,pairs:0,completionMax:2us [00m00s] 980 ab:aa=b,aba=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 980 ab:aa=b,aba=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 981 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:6,nodes:2,pairs:0,completionMax:1us [00m00s] 981 ab:aa=b,aba=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 981 ab:aa=b,aba=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 982 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:26,nodes:10,pairs:0,completionMax:3us [00m00s] 982 ab:aa=b,abb=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 982 ab:aa=b,abb=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 983 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:48,nodes:10,pairs:0,completionMax:5us [00m00s] 983 ab:aa=b,abb=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 983 ab:aa=b,abb=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 984 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:47,nodes:10,pairs:0,completionMax:2us [00m00s] 984 ab:aa=b,abb=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 984 ab:aa=b,abb=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 985 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:110,nodes:10,pairs:0,completionMax:4us [00m00s] 985 ab:aa=b,abb=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 985 ab:aa=b,abb=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 986 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:25,nodes:10,pairs:0,completionMax:4us [00m00s] 986 ab:aa=b,bab=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 986 ab:aa=b,bab=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 987 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:47,nodes:10,pairs:0,completionMax:4us [00m00s] 987 ab:aa=b,bab=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 987 ab:aa=b,bab=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 988 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:109,nodes:10,pairs:0,completionMax:3us [00m00s] 988 ab:aa=b,bab=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 988 ab:aa=b,bab=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 989 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:33,nodes:12,pairs:0,completionMax:4us [00m00s] 989 ab:aa=b,bbb=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 989 ab:aa=b,bbb=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 990 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:47,nodes:12,pairs:0,completionMax:4us [00m00s] 990 ab:aa=b,bbb=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 990 ab:aa=b,bbb=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 991 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:85,nodes:12,pairs:0,completionMax:5us [00m00s] 991 ab:aa=b,bbb=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 991 ab:aa=b,bbb=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 992 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:0,completionMax:2us [00m00s] 992 ab:ab=a,aaa=aa infinite ab - - ab:ab=a,aaa=aa [00m00s] # 993 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m00s] 993 ab:ab=a,aaa=ab infinite ab - - ab:ab=a,aaa=a [00m00s] from: 993 ab:ab=a,aaa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 994 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:43,nodes:10,pairs:1,completionMax:8us [00m00s] 994 ab:ab=a,aaa=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [00m00s] # 995 solved: rounds:2,rules:4,peak:5,longest:4,steps:1,word:0,work:78,nodes:14,pairs:4,completionMax:34us [00m00s] 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [00m00s] # 996 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:0us [00m00s] 996 ab:ab=a,aab=aa infinite ab - - ab:ab=a [00m00s] from: 996 ab:ab=a,aab=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 997 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:13,nodes:4,pairs:0,completionMax:3us [00m00s] 997 ab:ab=a,aab=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 997 ab:ab=a,aab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 998 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:44,nodes:8,pairs:1,completionMax:12us [00m00s] 998 ab:ab=a,aab=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] # 999 solved: rounds:2,rules:4,peak:5,longest:3,steps:1,word:0,work:60,nodes:10,pairs:3,completionMax:24us [00m00s] 999 ab:ab=a,aab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] from: 999 ab:ab=a,aab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 1000 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:2us [00m00s] 1000 ab:ab=a,aba=aa infinite ab - - ab:ab=a [00m00s] from: 1000 ab:ab=a,aba=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 1001 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:12,nodes:4,pairs:0,completionMax:3us [00m00s] 1001 ab:ab=a,aba=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 1001 ab:ab=a,aba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 1002 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:43,nodes:8,pairs:1,completionMax:4us [00m00s] 1002 ab:ab=a,aba=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 1002 ab:ab=a,aba=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 1003 solved: rounds:2,rules:4,peak:5,longest:3,steps:1,word:0,work:59,nodes:10,pairs:3,completionMax:21us [00m00s] 1003 ab:ab=a,aba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] from: 1003 ab:ab=a,aba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 1004 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:4us [00m00s] 1004 ab:ab=a,abb=aa infinite ab - - ab:aa=a,ab=a [00m00s] from: 1004 ab:ab=a,abb=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 1005 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 1005 ab:ab=a,abb=ab infinite ab - - ab:ab=a [00m00s] from: 1005 ab:ab=a,abb=ab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 1006 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:6us [00m00s] 1006 ab:ab=a,abb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 1006 ab:ab=a,abb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 1007 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:1,work:23,nodes:6,pairs:1,completionMax:8us [00m00s] 1007 ab:ab=a,abb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [00m00s] from: 1007 ab:ab=a,abb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [00m00s] # 1008 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:4us [00m00s] 1008 ab:ab=a,baa=aa infinite ab - - ab:ab=a,baa=aa [00m00s] # 1009 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:83,nodes:10,pairs:3,completionMax:22us [00m00s] 1009 ab:ab=a,baa=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 1009 ab:ab=a,baa=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 1010 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:50,nodes:10,pairs:1,completionMax:13us [00m00s] 1010 ab:ab=a,baa=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [00m00s] # 1011 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:1,work:25,nodes:8,pairs:2,completionMax:19us [00m00s] 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [00m00s] # 1012 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:44,nodes:8,pairs:1,completionMax:10us [00m00s] 1012 ab:ab=a,bab=aa infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 1012 ab:ab=a,bab=aa infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 1013 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:9us [00m00s] 1013 ab:ab=a,bab=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 1013 ab:ab=a,bab=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 1014 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:3us [00m00s] 1014 ab:ab=a,bab=ba infinite ab - - ab:ab=a [00m00s] from: 1014 ab:ab=a,bab=ba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 1015 solved: rounds:1,rules:3,peak:3,longest:2,steps:1,word:0,work:24,nodes:6,pairs:2,completionMax:20us [00m00s] 1015 ab:ab=a,bab=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [00m00s] from: 1015 ab:ab=a,bab=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [00m00s] # 1016 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:44,nodes:10,pairs:1,completionMax:20us [00m00s] 1016 ab:ab=a,bba=aa infinite ab - - ab:ab=a,aaa=aa,bba=aa [00m00s] # 1017 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:7us [00m00s] 1017 ab:ab=a,bba=ab infinite ab - - ab:ab=a,bba=a [00m00s] from: 1017 ab:ab=a,bba=ab infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [00m00s] # 1018 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:9us [00m00s] 1018 ab:ab=a,bba=ba infinite ab - - ab:ab=a,bba=ba [00m00s] # 1019 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:67,nodes:8,pairs:2,completionMax:36us [00m00s] 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [00m00s] # 1020 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:79,nodes:12,pairs:4,completionMax:40us [00m00s] 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [00m00s] # 1021 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:51,nodes:8,pairs:1,completionMax:9us [00m00s] 1021 ab:ab=a,bbb=ab finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [00m00s] from: 1021 ab:ab=a,bbb=ab finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [00m00s] # 1022 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:1,work:114,nodes:10,pairs:2,completionMax:34us [00m00s] 1022 ab:ab=a,bbb=ba finite:5;idempotents:1,a,bbb b/a - - ab:bbbb=bbb,ab=a,ba=bbb,aa=a [00m00s] # 1023 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:8,pairs:0,completionMax:11us [00m00s] 1023 ab:ab=a,bbb=bb infinite ab - - ab:ab=a,bbb=bb [00m00s] # 1024 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 1024 ab:aa=1,aaaaaa=1 infinite ab - - ab:aa=1 [00m00s] from: 1024 ab:aa=1,aaaaaa=1 infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1025 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:3us [00m00s] 1025 ab:aa=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1025 ab:aa=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1026 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:2us [00m00s] 1026 ab:aa=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1026 ab:aa=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1027 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:6,pairs:0,completionMax:1us [00m00s] 1027 ab:aa=1,aaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1027 ab:aa=1,aaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1028 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [00m00s] 1028 ab:aa=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1028 ab:aa=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1029 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:12,pairs:1,completionMax:5us [00m00s] 1029 ab:aa=1,aaabab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1029 ab:aa=1,aaabab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1030 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:12,pairs:7,completionMax:14us [00m00s] 1030 ab:aa=1,aaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1030 ab:aa=1,aaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1031 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:19,nodes:12,pairs:4,completionMax:13us [00m00s] 1031 ab:aa=1,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1031 ab:aa=1,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1032 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:6,pairs:0,completionMax:3us [00m00s] 1032 ab:aa=1,aabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1032 ab:aa=1,aabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1033 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:7us [00m00s] 1033 ab:aa=1,aababa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1033 ab:aa=1,aababa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1034 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:178,nodes:16,pairs:6,completionMax:34us [00m00s] 1034 ab:aa=1,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1034 ab:aa=1,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1035 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:0us [00m00s] 1035 ab:aa=1,aabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1035 ab:aa=1,aabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1036 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:155,nodes:14,pairs:15,completionMax:68us [00m00s] 1036 ab:aa=1,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1036 ab:aa=1,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1037 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:13,nodes:12,pairs:3,completionMax:17us [00m00s] 1037 ab:aa=1,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1037 ab:aa=1,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1038 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:2,nodes:10,pairs:0,completionMax:3us [00m00s] 1038 ab:aa=1,aabbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1038 ab:aa=1,aabbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1039 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:12,pairs:1,completionMax:6us [00m00s] 1039 ab:aa=1,abaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1039 ab:aa=1,abaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1040 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:12,pairs:7,completionMax:16us [00m00s] 1040 ab:aa=1,abaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1040 ab:aa=1,abaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1041 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:21,nodes:12,pairs:4,completionMax:13us [00m00s] 1041 ab:aa=1,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1041 ab:aa=1,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1042 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:28,nodes:20,pairs:1,completionMax:9us [00m00s] 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [00m00s] # 1043 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:309,nodes:20,pairs:28,completionMax:89us [00m00s] 1043 ab:aa=1,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1043 ab:aa=1,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1044 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:507,nodes:24,pairs:13,completionMax:69us [00m00s] 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m00s] # 1045 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:22,nodes:12,pairs:4,completionMax:13us [00m00s] 1045 ab:aa=1,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1045 ab:aa=1,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1046 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:460,nodes:27,pairs:18,completionMax:65us [00m00s] 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m00s] # 1047 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:847,nodes:30,pairs:11,completionMax:57us [00m00s] 1047 ab:aa=1,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m00s] from: 1047 ab:aa=1,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m00s] # 1048 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:58,nodes:20,pairs:7,completionMax:24us [00m00s] 1048 ab:aa=1,abbbba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1048 ab:aa=1,abbbba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1049 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:27,nodes:20,pairs:4,completionMax:14us [00m00s] 1049 ab:aa=1,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m00s] from: 1049 ab:aa=1,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m00s] # 1050 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 1050 ab:aa=1,baaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1050 ab:aa=1,baaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1051 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:179,nodes:16,pairs:6,completionMax:27us [00m00s] 1051 ab:aa=1,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1051 ab:aa=1,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1052 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:156,nodes:14,pairs:15,completionMax:61us [00m00s] 1052 ab:aa=1,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1052 ab:aa=1,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1053 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:10,pairs:0,completionMax:2us [00m00s] 1053 ab:aa=1,baabbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1053 ab:aa=1,baabbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1054 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2127,nodes:38,pairs:47,completionMax:311us [00m00s] 1054 ab:aa=1,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m00s] from: 1054 ab:aa=1,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m00s] # 1055 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:327,nodes:42,pairs:10,completionMax:52us [00m00s] 1055 ab:aa=1,babbab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m00s] from: 1055 ab:aa=1,babbab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m00s] # 1056 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:493,nodes:32,pairs:16,completionMax:71us [00m00s] 1056 ab:aa=1,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m00s] from: 1056 ab:aa=1,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m00s] # 1057 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:2us [00m00s] 1057 ab:aa=1,bbaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1057 ab:aa=1,bbaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1058 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:723,nodes:30,pairs:15,completionMax:60us [00m00s] 1058 ab:aa=1,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m00s] from: 1058 ab:aa=1,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m00s] # 1059 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:10us [00m00s] 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [00m00s] # 1060 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:6us [00m00s] 1060 ab:ab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m00s] from: 1060 ab:ab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m00s] # 1061 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:5us [00m00s] 1061 ab:ab=1,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1061 ab:ab=1,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1062 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:4us [00m00s] 1062 ab:ab=1,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1062 ab:ab=1,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1063 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:3us [00m00s] 1063 ab:ab=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1063 ab:ab=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1064 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:5us [00m00s] 1064 ab:ab=1,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1064 ab:ab=1,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1065 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:4us [00m00s] 1065 ab:ab=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1065 ab:ab=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1066 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:2us [00m00s] 1066 ab:ab=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1066 ab:ab=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1067 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [00m00s] 1067 ab:ab=1,aaabbb=1 infinite ab - - ab:ab=1 [00m00s] from: 1067 ab:ab=1,aaabbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1068 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:4us [00m00s] 1068 ab:ab=1,aabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1068 ab:ab=1,aabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1069 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:5us [00m00s] 1069 ab:ab=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1069 ab:ab=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1070 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [00m00s] 1070 ab:ab=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1070 ab:ab=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1071 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [00m00s] 1071 ab:ab=1,aababb=1 infinite ab - - ab:ab=1 [00m00s] from: 1071 ab:ab=1,aababb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1072 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 1072 ab:ab=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1072 ab:ab=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1073 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:0us [00m00s] 1073 ab:ab=1,aabbab=1 infinite ab - - ab:ab=1 [00m00s] from: 1073 ab:ab=1,aabbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1074 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:6,pairs:0,completionMax:1us [00m00s] 1074 ab:ab=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1074 ab:ab=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1075 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:5us [00m00s] 1075 ab:ab=1,abaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1075 ab:ab=1,abaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1076 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [00m00s] 1076 ab:ab=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1076 ab:ab=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1077 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 1077 ab:ab=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1077 ab:ab=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1078 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:3us [00m00s] 1078 ab:ab=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1078 ab:ab=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1079 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 1079 ab:ab=1,ababab=1 infinite ab - - ab:ab=1 [00m00s] from: 1079 ab:ab=1,ababab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1080 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:6,pairs:0,completionMax:2us [00m00s] 1080 ab:ab=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1080 ab:ab=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1081 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:69,nodes:12,pairs:9,completionMax:24us [00m00s] 1081 ab:ab=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1081 ab:ab=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1082 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 1082 ab:ab=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1082 ab:ab=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1083 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:6,pairs:0,completionMax:1us [00m00s] 1083 ab:ab=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1083 ab:ab=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1084 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:12,nodes:12,pairs:6,completionMax:10us [00m00s] 1084 ab:ab=1,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1084 ab:ab=1,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1085 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:10,pairs:9,completionMax:25us [00m00s] 1085 ab:ab=1,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1085 ab:ab=1,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1086 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:131,nodes:20,pairs:11,completionMax:37us [00m00s] 1086 ab:ab=1,baaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1086 ab:ab=1,baaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1087 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:16us [00m00s] 1087 ab:ab=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1087 ab:ab=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1088 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:71,nodes:12,pairs:9,completionMax:14us [00m00s] 1088 ab:ab=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1088 ab:ab=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1089 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [00m00s] 1089 ab:ab=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1089 ab:ab=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1090 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:70,nodes:12,pairs:9,completionMax:19us [00m00s] 1090 ab:ab=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1090 ab:ab=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1091 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 1091 ab:ab=1,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1091 ab:ab=1,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1092 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:13,nodes:12,pairs:6,completionMax:17us [00m00s] 1092 ab:ab=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1092 ab:ab=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1093 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:133,nodes:22,pairs:19,completionMax:47us [00m00s] 1093 ab:ab=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1093 ab:ab=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1094 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:14,nodes:12,pairs:6,completionMax:11us [00m00s] 1094 ab:ab=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1094 ab:ab=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1095 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:27,nodes:18,pairs:8,completionMax:14us [00m00s] 1095 ab:ab=1,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1095 ab:ab=1,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1096 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:2us [00m00s] 1096 ab:aa=1,aaaaa=a infinite ab - - ab:aa=1 [00m00s] from: 1096 ab:aa=1,aaaaa=a infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1097 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 1097 ab:aa=1,aaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1097 ab:aa=1,aaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1098 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 1098 ab:aa=1,aaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1098 ab:aa=1,aaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1099 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:0us [00m00s] 1099 ab:aa=1,aaaab=b infinite ab - - ab:aa=1 [00m00s] from: 1099 ab:aa=1,aaaab=b infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1100 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:25,nodes:8,pairs:4,completionMax:11us [00m00s] 1100 ab:aa=1,aaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1100 ab:aa=1,aaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1101 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:8us [00m00s] 1101 ab:aa=1,aaaba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [00m00s] from: 1101 ab:aa=1,aaaba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [00m00s] # 1102 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:4us [00m00s] 1102 ab:aa=1,aaabb=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1102 ab:aa=1,aaabb=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1103 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:3,completionMax:9us [00m00s] 1103 ab:aa=1,aaabb=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1103 ab:aa=1,aaabb=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1104 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [00m00s] 1104 ab:aa=1,aabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1104 ab:aa=1,aabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1105 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:0us [00m00s] 1105 ab:aa=1,aabaa=b infinite ab - - ab:aa=1 [00m00s] from: 1105 ab:aa=1,aabaa=b infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1106 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [00m00s] 1106 ab:aa=1,aabab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1106 ab:aa=1,aabab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1107 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:3us [00m00s] 1107 ab:aa=1,aabab=b infinite ab - - ab:aa=1,bab=b [00m00s] from: 1107 ab:aa=1,aabab=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [00m00s] # 1108 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:6us [00m00s] 1108 ab:aa=1,aabba=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1108 ab:aa=1,aabba=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1109 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:2,completionMax:8us [00m00s] 1109 ab:aa=1,aabba=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [00m00s] from: 1109 ab:aa=1,aabba=b finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [00m00s] # 1110 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:15,nodes:12,pairs:2,completionMax:10us [00m00s] 1110 ab:aa=1,aabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1110 ab:aa=1,aabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1111 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:2us [00m00s] 1111 ab:aa=1,aabbb=b infinite ab - - ab:aa=1,bbb=b [00m00s] from: 1111 ab:aa=1,aabbb=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [00m00s] # 1112 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:6us [00m00s] 1112 ab:aa=1,abaab=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1112 ab:aa=1,abaab=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1113 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:3,completionMax:10us [00m00s] 1113 ab:aa=1,abaab=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1113 ab:aa=1,abaab=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1114 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:53,nodes:16,pairs:4,completionMax:29us [00m00s] 1114 ab:aa=1,ababa=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1114 ab:aa=1,ababa=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1115 solved: rounds:3,rules:4,peak:6,longest:5,steps:5,word:0,work:436,nodes:18,pairs:13,completionMax:50us [00m00s] 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [00m00s] # 1116 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:186,nodes:16,pairs:8,completionMax:28us [00m00s] 1116 ab:aa=1,ababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1116 ab:aa=1,ababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1117 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:53,nodes:16,pairs:3,completionMax:11us [00m00s] 1117 ab:aa=1,ababb=b infinite ab - - ab:aa=1,babb=ab,babab=b [00m00s] # 1118 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:234,nodes:16,pairs:20,completionMax:32us [00m00s] 1118 ab:aa=1,abbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1118 ab:aa=1,abbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1119 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:97,nodes:16,pairs:6,completionMax:18us [00m00s] 1119 ab:aa=1,abbab=b infinite ab - - ab:aa=1,bbb=b,bbab=ab [00m00s] # 1120 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:2,work:55,nodes:16,pairs:9,completionMax:25us [00m00s] 1120 ab:aa=1,abbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1120 ab:aa=1,abbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1121 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:319,nodes:36,pairs:8,completionMax:41us [00m00s] 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [00m00s] # 1122 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:2,nodes:16,pairs:1,completionMax:7us [00m00s] 1122 ab:aa=1,abbbb=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1122 ab:aa=1,abbbb=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1123 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:32,nodes:16,pairs:3,completionMax:12us [00m00s] 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [00m00s] # 1124 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:4us [00m00s] 1124 ab:aa=1,baaab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1124 ab:aa=1,baaab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1125 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:3us [00m00s] 1125 ab:aa=1,baaab=b infinite ab - - ab:aa=1,bab=b [00m00s] from: 1125 ab:aa=1,baaab=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [00m00s] # 1126 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:16,nodes:12,pairs:2,completionMax:10us [00m00s] 1126 ab:aa=1,baabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1126 ab:aa=1,baabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1127 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:3us [00m00s] 1127 ab:aa=1,baabb=b infinite ab - - ab:aa=1,bbb=b [00m00s] from: 1127 ab:aa=1,baabb=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [00m00s] # 1128 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [00m00s] 1128 ab:aa=1,babab=a infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [00m00s] from: 1128 ab:aa=1,babab=a infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [00m00s] # 1129 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:2us [00m00s] 1129 ab:aa=1,babab=b infinite ab - - ab:aa=1,babab=b [00m00s] # 1130 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:499,nodes:24,pairs:11,completionMax:56us [00m00s] 1130 ab:aa=1,babbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m00s] from: 1130 ab:aa=1,babbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m00s] # 1131 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:1us [00m00s] 1131 ab:aa=1,babbb=b infinite ab - - ab:aa=1,babbb=b [00m00s] # 1132 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:2,work:204,nodes:18,pairs:7,completionMax:45us [00m00s] 1132 ab:aa=1,bbabb=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m00s] from: 1132 ab:aa=1,bbabb=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m00s] # 1133 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:171,nodes:16,pairs:5,completionMax:18us [00m00s] 1133 ab:aa=1,bbabb=b infinite ab - - ab:aa=1,bbab=babb,babbb=b [00m00s] # 1134 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:19,nodes:20,pairs:2,completionMax:16us [00m00s] 1134 ab:aa=1,bbbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m00s] from: 1134 ab:aa=1,bbbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m00s] # 1135 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:4us [00m00s] 1135 ab:aa=1,bbbbb=b infinite ab - - ab:aa=1,bbbbb=b [00m00s] # 1136 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:32,nodes:10,pairs:2,completionMax:12us [00m00s] 1136 ab:ab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1136 ab:ab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1137 solved: rounds:1,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:1,completionMax:5us [00m00s] 1137 ab:ab=1,aaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m00s] from: 1137 ab:ab=1,aaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m00s] # 1138 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:2,completionMax:7us [00m00s] 1138 ab:ab=1,aaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1138 ab:ab=1,aaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1139 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:5us [00m00s] 1139 ab:ab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1139 ab:ab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1140 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:6,pairs:2,completionMax:11us [00m00s] 1140 ab:ab=1,aaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1140 ab:ab=1,aaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1141 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:6us [00m00s] 1141 ab:ab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1141 ab:ab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1142 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [00m00s] 1142 ab:ab=1,aaabb=a infinite ab - - ab:ab=1 [00m00s] from: 1142 ab:ab=1,aaabb=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1143 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:2us [00m00s] 1143 ab:ab=1,aaabb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1143 ab:ab=1,aaabb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1144 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:9us [00m00s] 1144 ab:ab=1,aabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1144 ab:ab=1,aabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1145 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:8,pairs:1,completionMax:6us [00m00s] 1145 ab:ab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1145 ab:ab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1146 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [00m00s] 1146 ab:ab=1,aabab=a infinite ab - - ab:ab=1 [00m00s] from: 1146 ab:ab=1,aabab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1147 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:3us [00m00s] 1147 ab:ab=1,aabab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1147 ab:ab=1,aabab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1148 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:0us [00m00s] 1148 ab:ab=1,aabba=a infinite ab - - ab:ab=1 [00m00s] from: 1148 ab:ab=1,aabba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1149 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:4us [00m00s] 1149 ab:ab=1,aabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1149 ab:ab=1,aabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1150 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:6,pairs:2,completionMax:8us [00m00s] 1150 ab:ab=1,abaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1150 ab:ab=1,abaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1151 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:2,nodes:8,pairs:1,completionMax:4us [00m00s] 1151 ab:ab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1151 ab:ab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1152 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [00m00s] 1152 ab:ab=1,abaab=a infinite ab - - ab:ab=1 [00m00s] from: 1152 ab:ab=1,abaab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1153 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:4,pairs:1,completionMax:2us [00m00s] 1153 ab:ab=1,abaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1153 ab:ab=1,abaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1154 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 1154 ab:ab=1,ababa=a infinite ab - - ab:ab=1 [00m00s] from: 1154 ab:ab=1,ababa=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1155 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:4,pairs:1,completionMax:4us [00m00s] 1155 ab:ab=1,ababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1155 ab:ab=1,ababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1156 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [00m00s] 1156 ab:ab=1,abbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1156 ab:ab=1,abbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1157 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:4,completionMax:15us [00m00s] 1157 ab:ab=1,abbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1157 ab:ab=1,abbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1158 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:53,nodes:8,pairs:10,completionMax:19us [00m00s] 1158 ab:ab=1,abbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1158 ab:ab=1,abbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1159 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:7us [00m00s] 1159 ab:ab=1,abbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1159 ab:ab=1,abbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1160 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:98,nodes:16,pairs:11,completionMax:32us [00m00s] 1160 ab:ab=1,baaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1160 ab:ab=1,baaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1161 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:42,nodes:16,pairs:4,completionMax:17us [00m00s] 1161 ab:ab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1161 ab:ab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1162 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:4us [00m00s] 1162 ab:ab=1,baaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1162 ab:ab=1,baaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1163 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:4,completionMax:12us [00m00s] 1163 ab:ab=1,baaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1163 ab:ab=1,baaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1164 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:4us [00m00s] 1164 ab:ab=1,babaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1164 ab:ab=1,babaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1165 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:8,pairs:4,completionMax:12us [00m00s] 1165 ab:ab=1,babaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1165 ab:ab=1,babaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1166 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:30,nodes:16,pairs:11,completionMax:24us [00m00s] 1166 ab:ab=1,bbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1166 ab:ab=1,bbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1167 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:212,nodes:16,pairs:22,completionMax:56us [00m00s] 1167 ab:ab=1,bbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1167 ab:ab=1,bbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1168 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 1168 ab:aa=1,aaaa=aa infinite ab - - ab:aa=1 [00m00s] from: 1168 ab:aa=1,aaaa=aa infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1169 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:4us [00m00s] 1169 ab:aa=1,aaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1169 ab:aa=1,aaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1170 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:6,pairs:0,completionMax:1us [00m00s] 1170 ab:aa=1,aaaa=bb infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1170 ab:aa=1,aaaa=bb infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1171 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:4,pairs:1,completionMax:4us [00m00s] 1171 ab:aa=1,aaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1171 ab:aa=1,aaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1172 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 1172 ab:aa=1,aaab=ab infinite ab - - ab:aa=1 [00m00s] from: 1172 ab:aa=1,aaab=ab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1173 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:2us [00m00s] 1173 ab:aa=1,aaab=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [00m00s] from: 1173 ab:aa=1,aaab=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [00m00s] # 1174 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:4us [00m00s] 1174 ab:aa=1,aaab=bb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1174 ab:aa=1,aaab=bb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1175 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:5us [00m00s] 1175 ab:aa=1,aaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1175 ab:aa=1,aaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1176 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [00m00s] 1176 ab:aa=1,aaba=ab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [00m00s] from: 1176 ab:aa=1,aaba=ab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [00m00s] # 1177 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [00m00s] 1177 ab:aa=1,aaba=ba infinite ab - - ab:aa=1 [00m00s] from: 1177 ab:aa=1,aaba=ba infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1178 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:7us [00m00s] 1178 ab:aa=1,aaba=bb finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [00m00s] from: 1178 ab:aa=1,aaba=bb finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [00m00s] # 1179 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:3us [00m00s] 1179 ab:aa=1,aabb=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1179 ab:aa=1,aabb=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1180 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:4us [00m00s] 1180 ab:aa=1,aabb=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1180 ab:aa=1,aabb=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1181 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:4us [00m00s] 1181 ab:aa=1,aabb=ba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [00m00s] from: 1181 ab:aa=1,aabb=ba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [00m00s] # 1182 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:0us [00m00s] 1182 ab:aa=1,aabb=bb infinite ab - - ab:aa=1 [00m00s] from: 1182 ab:aa=1,aabb=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1183 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:12,pairs:1,completionMax:8us [00m00s] 1183 ab:aa=1,abab=aa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1183 ab:aa=1,abab=aa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1184 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:12,pairs:1,completionMax:8us [00m00s] 1184 ab:aa=1,abab=ab infinite ab - - ab:aa=1,bab=b [00m00s] from: 1184 ab:aa=1,abab=ab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [00m00s] # 1185 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:195,nodes:14,pairs:11,completionMax:39us [00m00s] 1185 ab:aa=1,abab=ba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [00m00s] from: 1185 ab:aa=1,abab=ba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [00m00s] # 1186 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:12,pairs:2,completionMax:7us [00m00s] 1186 ab:aa=1,abab=bb infinite ab - - ab:aa=1,bab=abb [00m00s] # 1187 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:12,pairs:7,completionMax:23us [00m00s] 1187 ab:aa=1,abba=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1187 ab:aa=1,abba=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1188 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:105,nodes:12,pairs:8,completionMax:22us [00m00s] 1188 ab:aa=1,abba=ab finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [00m00s] from: 1188 ab:aa=1,abba=ab finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [00m00s] # 1189 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:12,pairs:3,completionMax:9us [00m00s] 1189 ab:aa=1,abba=bb infinite ab - - ab:aa=1,bba=abb [00m00s] # 1190 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:19,nodes:12,pairs:4,completionMax:13us [00m00s] 1190 ab:aa=1,abbb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1190 ab:aa=1,abbb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1191 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:12,pairs:1,completionMax:6us [00m00s] 1191 ab:aa=1,abbb=ab infinite ab - - ab:aa=1,bbb=b [00m00s] from: 1191 ab:aa=1,abbb=ab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [00m00s] # 1192 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:117,nodes:20,pairs:1,completionMax:15us [00m00s] 1192 ab:aa=1,abbb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [00m00s] from: 1192 ab:aa=1,abbb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [00m00s] # 1193 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:47,nodes:12,pairs:3,completionMax:15us [00m00s] 1193 ab:aa=1,abbb=bb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [00m00s] # 1194 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:3us [00m00s] 1194 ab:aa=1,baab=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1194 ab:aa=1,baab=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1195 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:1,completionMax:7us [00m00s] 1195 ab:aa=1,baab=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1195 ab:aa=1,baab=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1196 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:2us [00m00s] 1196 ab:aa=1,baab=bb infinite ab - - ab:aa=1 [00m00s] from: 1196 ab:aa=1,baab=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1197 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:178,nodes:16,pairs:6,completionMax:35us [00m00s] 1197 ab:aa=1,babb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1197 ab:aa=1,babb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1198 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:43,nodes:12,pairs:1,completionMax:7us [00m00s] 1198 ab:aa=1,babb=ab infinite ab - - ab:aa=1,babb=ab,babab=b [00m00s] from: 1198 ab:aa=1,babb=ab infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [00m00s] # 1199 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:1,completionMax:12us [00m00s] 1199 ab:aa=1,babb=ba infinite ab - - ab:aa=1,bbb=b,babb=ba [00m00s] from: 1199 ab:aa=1,babb=ba infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [00m00s] # 1200 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [00m00s] 1200 ab:aa=1,babb=bb infinite ab - - ab:aa=1,babb=bb [00m00s] # 1201 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:2,nodes:10,pairs:0,completionMax:3us [00m00s] 1201 ab:aa=1,bbbb=aa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m00s] from: 1201 ab:aa=1,bbbb=aa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m00s] # 1202 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:25,nodes:16,pairs:1,completionMax:10us [00m00s] 1202 ab:aa=1,bbbb=ab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [00m00s] from: 1202 ab:aa=1,bbbb=ab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [00m00s] # 1203 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:4us [00m00s] 1203 ab:aa=1,bbbb=bb infinite ab - - ab:aa=1,bbbb=bb [00m00s] # 1204 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:61,nodes:8,pairs:3,completionMax:30us [00m00s] 1204 ab:ab=1,aaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1204 ab:ab=1,aaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1205 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:9us [00m00s] 1205 ab:ab=1,aaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1205 ab:ab=1,aaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1206 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:43,nodes:12,pairs:4,completionMax:25us [00m00s] 1206 ab:ab=1,aaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1206 ab:ab=1,aaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1207 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:158,nodes:20,pairs:4,completionMax:26us [00m00s] 1207 ab:ab=1,aaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m00s] from: 1207 ab:ab=1,aaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m00s] # 1208 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 1208 ab:ab=1,aaab=aa infinite ab - - ab:ab=1 [00m00s] from: 1208 ab:ab=1,aaab=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1209 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:8,nodes:4,pairs:1,completionMax:5us [00m00s] 1209 ab:ab=1,aaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1209 ab:ab=1,aaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1210 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:30,nodes:8,pairs:4,completionMax:12us [00m00s] 1210 ab:ab=1,aaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1210 ab:ab=1,aaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1211 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:50,nodes:12,pairs:4,completionMax:19us [00m00s] 1211 ab:ab=1,aaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1211 ab:ab=1,aaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1212 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [00m00s] 1212 ab:ab=1,aaba=aa infinite ab - - ab:ab=1 [00m00s] from: 1212 ab:ab=1,aaba=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1213 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:7,nodes:4,pairs:1,completionMax:10us [00m00s] 1213 ab:ab=1,aaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1213 ab:ab=1,aaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1214 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:29,nodes:8,pairs:4,completionMax:18us [00m00s] 1214 ab:ab=1,aaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1214 ab:ab=1,aaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1215 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:49,nodes:12,pairs:4,completionMax:23us [00m00s] 1215 ab:ab=1,aaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1215 ab:ab=1,aaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1216 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 1216 ab:ab=1,aabb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1216 ab:ab=1,aabb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1217 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [00m00s] 1217 ab:ab=1,aabb=ab infinite ab - - ab:ab=1 [00m00s] from: 1217 ab:ab=1,aabb=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1218 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:5,nodes:6,pairs:0,completionMax:2us [00m00s] 1218 ab:ab=1,aabb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1218 ab:ab=1,aabb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1219 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:2us [00m00s] 1219 ab:ab=1,abaa=aa infinite ab - - ab:ab=1 [00m00s] from: 1219 ab:ab=1,abaa=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1220 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:4,pairs:1,completionMax:4us [00m00s] 1220 ab:ab=1,abaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1220 ab:ab=1,abaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1221 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:28,nodes:8,pairs:4,completionMax:15us [00m00s] 1221 ab:ab=1,abaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1221 ab:ab=1,abaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1222 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:48,nodes:12,pairs:4,completionMax:21us [00m00s] 1222 ab:ab=1,abaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1222 ab:ab=1,abaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1223 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:4us [00m00s] 1223 ab:ab=1,abab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1223 ab:ab=1,abab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1224 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 1224 ab:ab=1,abab=ab infinite ab - - ab:ab=1 [00m00s] from: 1224 ab:ab=1,abab=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1225 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:4,nodes:6,pairs:0,completionMax:2us [00m00s] 1225 ab:ab=1,abab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1225 ab:ab=1,abab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1226 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:28,nodes:8,pairs:4,completionMax:9us [00m00s] 1226 ab:ab=1,abba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1226 ab:ab=1,abba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1227 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [00m00s] 1227 ab:ab=1,abba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1227 ab:ab=1,abba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1228 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:0us [00m00s] 1228 ab:ab=1,abba=ba infinite ab - - ab:ab=1 [00m00s] from: 1228 ab:ab=1,abba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1229 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:40,nodes:8,pairs:5,completionMax:15us [00m00s] 1229 ab:ab=1,abba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1229 ab:ab=1,abba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1230 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:5,nodes:10,pairs:2,completionMax:11us [00m00s] 1230 ab:ab=1,baaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1230 ab:ab=1,baaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1231 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:69,nodes:12,pairs:9,completionMax:26us [00m00s] 1231 ab:ab=1,baaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1231 ab:ab=1,baaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1232 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:7,completionMax:21us [00m00s] 1232 ab:ab=1,baaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1232 ab:ab=1,baaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1233 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:215,nodes:20,pairs:5,completionMax:31us [00m00s] 1233 ab:ab=1,baaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1233 ab:ab=1,baaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1234 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:29,nodes:8,pairs:4,completionMax:10us [00m00s] 1234 ab:ab=1,baba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1234 ab:ab=1,baba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1235 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:1us [00m00s] 1235 ab:ab=1,baba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1235 ab:ab=1,baba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1236 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [00m00s] 1236 ab:ab=1,baba=ba infinite ab - - ab:ab=1 [00m00s] from: 1236 ab:ab=1,baba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1237 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:166,nodes:14,pairs:17,completionMax:41us [00m00s] 1237 ab:ab=1,bbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1237 ab:ab=1,bbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1238 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:12,nodes:12,pairs:6,completionMax:14us [00m00s] 1238 ab:ab=1,bbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1238 ab:ab=1,bbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1239 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:11,nodes:12,pairs:4,completionMax:9us [00m00s] 1239 ab:ab=1,bbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1239 ab:ab=1,bbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1240 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 1240 ab:aa=1,aab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1240 ab:aa=1,aab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1241 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:25,nodes:8,pairs:4,completionMax:13us [00m00s] 1241 ab:aa=1,aba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1241 ab:aa=1,aba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1242 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:8us [00m00s] 1242 ab:aa=1,aba=aab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [00m00s] from: 1242 ab:aa=1,aba=aab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [00m00s] # 1243 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [00m00s] 1243 ab:aa=1,abb=aaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m00s] from: 1243 ab:aa=1,abb=aaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m00s] # 1244 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:3,completionMax:8us [00m00s] 1244 ab:aa=1,abb=aab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1244 ab:aa=1,abb=aab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1245 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:92,nodes:12,pairs:6,completionMax:19us [00m00s] 1245 ab:aa=1,abb=aba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [00m00s] from: 1245 ab:aa=1,abb=aba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [00m00s] # 1246 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:1us [00m00s] 1246 ab:aa=1,baa=aab infinite ab - - ab:aa=1 [00m00s] from: 1246 ab:aa=1,baa=aab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m00s] # 1247 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:3,completionMax:7us [00m00s] 1247 ab:aa=1,baa=abb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [00m00s] from: 1247 ab:aa=1,baa=abb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [00m00s] # 1248 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [00m00s] 1248 ab:aa=1,bab=aaa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m00s] from: 1248 ab:aa=1,bab=aaa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m00s] # 1249 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:2us [00m00s] 1249 ab:aa=1,bab=aab infinite ab - - ab:aa=1,bab=b [00m00s] from: 1249 ab:aa=1,bab=aab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [00m00s] # 1250 solved: rounds:2,rules:4,peak:4,longest:3,steps:3,word:0,work:91,nodes:10,pairs:3,completionMax:14us [00m00s] 1250 ab:aa=1,bab=aba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [00m00s] from: 1250 ab:aa=1,bab=aba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [00m00s] # 1251 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:8,pairs:0,completionMax:2us [00m00s] 1251 ab:aa=1,bab=abb infinite ab - - ab:aa=1,bab=abb [00m00s] from: 1251 ab:aa=1,bab=abb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [00m00s] # 1252 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:2us [00m00s] 1252 ab:aa=1,bba=abb infinite ab - - ab:aa=1,bba=abb [00m00s] from: 1252 ab:aa=1,bba=abb infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [00m00s] # 1253 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:15,nodes:12,pairs:2,completionMax:9us [00m00s] 1253 ab:aa=1,bbb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m00s] from: 1253 ab:aa=1,bbb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m00s] # 1254 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:3us [00m00s] 1254 ab:aa=1,bbb=aab infinite ab - - ab:aa=1,bbb=b [00m00s] from: 1254 ab:aa=1,bbb=aab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [00m00s] # 1255 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:347,nodes:36,pairs:7,completionMax:43us [00m00s] 1255 ab:aa=1,bbb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [00m00s] from: 1255 ab:aa=1,bbb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [00m00s] # 1256 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:43,nodes:12,pairs:1,completionMax:8us [00m00s] 1256 ab:aa=1,bbb=abb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [00m00s] from: 1256 ab:aa=1,bbb=abb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [00m00s] # 1257 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:2us [00m00s] 1257 ab:aa=1,bbb=bab infinite ba - - ab:aa=1,bab=bbb [00m00s] # 1258 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:10us [00m00s] 1258 ab:ab=1,aab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1258 ab:ab=1,aab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1259 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:6,pairs:2,completionMax:9us [00m00s] 1259 ab:ab=1,aba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1259 ab:ab=1,aba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1260 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:0us [00m00s] 1260 ab:ab=1,aba=aab infinite ab - - ab:ab=1 [00m00s] from: 1260 ab:ab=1,aba=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m00s] # 1261 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:2,nodes:8,pairs:1,completionMax:6us [00m00s] 1261 ab:ab=1,abb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1261 ab:ab=1,abb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1262 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:5,nodes:4,pairs:1,completionMax:3us [00m00s] 1262 ab:ab=1,abb=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1262 ab:ab=1,abb=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1263 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:4,nodes:4,pairs:1,completionMax:2us [00m00s] 1263 ab:ab=1,abb=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1263 ab:ab=1,abb=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1264 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:106,nodes:12,pairs:7,completionMax:30us [00m00s] 1264 ab:ab=1,baa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1264 ab:ab=1,baa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1265 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:4us [00m00s] 1265 ab:ab=1,baa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1265 ab:ab=1,baa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1266 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:6us [00m00s] 1266 ab:ab=1,baa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m00s] from: 1266 ab:ab=1,baa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m00s] # 1267 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:4,completionMax:14us [00m00s] 1267 ab:ab=1,baa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1267 ab:ab=1,baa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1268 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:8,pairs:1,completionMax:8us [00m00s] 1268 ab:ab=1,bab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1268 ab:ab=1,bab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1269 solved: rounds:1,rules:2,peak:2,longest:2,steps:1,word:0,work:5,nodes:4,pairs:1,completionMax:3us [00m00s] 1269 ab:ab=1,bab=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1269 ab:ab=1,bab=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1270 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:8,pairs:4,completionMax:17us [00m00s] 1270 ab:ab=1,bab=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1270 ab:ab=1,bab=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1271 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:92,nodes:12,pairs:11,completionMax:36us [00m00s] 1271 ab:ab=1,bba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m00s] from: 1271 ab:ab=1,bba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m00s] # 1272 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:72,nodes:8,pairs:10,completionMax:24us [00m00s] 1272 ab:ab=1,bba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m00s] from: 1272 ab:ab=1,bba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m00s] # 1273 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:4,work:197,nodes:18,pairs:8,completionMax:39us [00m00s] 1273 ab:ab=1,bbb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m00s] from: 1273 ab:ab=1,bbb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m00s] # 1274 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:114,nodes:12,pairs:7,completionMax:27us [00m00s] 1274 ab:aab=aaa,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1274 ab:aab=aaa,aba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1275 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:62,nodes:10,pairs:6,completionMax:21us [00m00s] 1275 ab:aab=aaa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1275 ab:aab=aaa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1276 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:76,nodes:14,pairs:4,completionMax:20us [00m00s] 1276 ab:aab=aaa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1276 ab:aab=aaa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1277 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:268,nodes:14,pairs:11,completionMax:51us [00m00s] 1277 ab:aab=aaa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1277 ab:aab=aaa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1278 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:140,nodes:14,pairs:7,completionMax:31us [00m00s] 1278 ab:aab=aaa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1278 ab:aab=aaa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1279 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:47,nodes:14,pairs:1,completionMax:8us [00m00s] 1279 ab:aab=aaa,bbb=1 infinite ab - - ab:aab=aaa,bbb=1,aaaaa=aa [00m00s] # 1280 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:29,nodes:6,pairs:3,completionMax:11us [00m00s] 1280 ab:aba=aaa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1280 ab:aba=aaa,abb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1281 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:80,nodes:14,pairs:5,completionMax:20us [00m00s] 1281 ab:aba=aaa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1281 ab:aba=aaa,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1282 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:202,nodes:14,pairs:14,completionMax:38us [00m00s] 1282 ab:aba=aaa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1282 ab:aba=aaa,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1283 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [00m00s] 1283 ab:aba=aaa,bbb=1 infinite ab - - ab:aba=aaa,bbb=1 [00m00s] # 1284 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:6,pairs:0,completionMax:3us [00m00s] 1284 ab:aba=aab,abb=1 infinite ab - - ab:aba=aab,abb=1 [00m00s] # 1285 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:102,nodes:14,pairs:4,completionMax:19us [00m00s] 1285 ab:aba=aab,baa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 1285 ab:aba=aab,baa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 1286 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:108,nodes:14,pairs:5,completionMax:17us [00m00s] 1286 ab:aba=aab,bab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [00m00s] from: 1286 ab:aba=aab,bab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [00m00s] # 1287 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:122,nodes:16,pairs:5,completionMax:15us [00m00s] 1287 ab:aba=aab,bba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [00m00s] from: 1287 ab:aba=aab,bba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [00m00s] # 1288 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:135,nodes:16,pairs:1,completionMax:10us [00m00s] 1288 ab:aba=aab,bbb=1 infinite ab - - ab:aba=aab,bbb=1,aabba=aaabb [00m00s] # 1289 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:3,work:90,nodes:16,pairs:9,completionMax:19us [00m00s] 1289 ab:abb=aaa,baa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 1289 ab:abb=aaa,baa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 1290 solved: rounds:5,rules:2,peak:4,longest:6,steps:5,word:3,work:144,nodes:12,pairs:10,completionMax:23us [00m00s] 1290 ab:abb=aaa,bab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 1290 ab:abb=aaa,bab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 1291 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:3,work:229,nodes:16,pairs:16,completionMax:32us [00m00s] 1291 ab:abb=aaa,bba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 1291 ab:abb=aaa,bba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 1292 solved: rounds:1,rules:3,peak:4,longest:7,steps:4,word:6,work:91,nodes:20,pairs:2,completionMax:19us [00m00s] 1292 ab:abb=aaa,bbb=1 finite:21;idempotents:1,baa,aaaaaa,bbaaaa a/b - - ab:aaaaaaa=a,ab=aaaaa,bbb=1 [00m00s] from: 1292 ab:abb=aaa,bbb=1 finite:21;idempotents:1,baa,aaaaaa,bbaaaa to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb anti:a=b,b=a [00m00s] # 1293 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:60,nodes:10,pairs:7,completionMax:17us [00m00s] 1293 ab:abb=aab,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1293 ab:abb=aab,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1294 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:174,nodes:14,pairs:10,completionMax:26us [00m00s] 1294 ab:abb=aab,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1294 ab:abb=aab,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1295 solved: rounds:1,rules:3,peak:4,longest:4,steps:3,word:0,work:55,nodes:14,pairs:2,completionMax:10us [00m00s] 1295 ab:abb=aab,bbb=1 finite:12;idempotents:1,aaa,baa,bba ab - - ab:ab=aa,bbb=1,aaaa=a [00m00s] from: 1295 ab:abb=aab,bbb=1 finite:12;idempotents:1,aaa,baa,bba to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=a,b=b [00m00s] # 1296 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:90,nodes:12,pairs:6,completionMax:21us [00m00s] 1296 ab:abb=aba,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1296 ab:abb=aba,baa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1297 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:90,nodes:16,pairs:5,completionMax:20us [00m00s] 1297 ab:abb=aba,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1297 ab:abb=aba,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1298 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:392,nodes:18,pairs:12,completionMax:44us [00m00s] 1298 ab:abb=aba,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1298 ab:abb=aba,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1299 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:6,completionMax:17us [00m00s] 1299 ab:abb=aba,bbb=1 finite:12;idempotents:1,aaa,baa,bba ab - - ab:ab=aa,bbb=1,aaaa=a [00m00s] from: 1299 ab:abb=aba,bbb=1 finite:12;idempotents:1,aaa,baa,bba to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=a,b=b [00m00s] # 1300 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:36,nodes:8,pairs:3,completionMax:6us [00m00s] 1300 ab:baa=aab,bab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [00m00s] from: 1300 ab:baa=aab,bab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [00m00s] # 1301 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:95,nodes:16,pairs:5,completionMax:23us [00m00s] 1301 ab:baa=aab,bba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [00m00s] from: 1301 ab:baa=aab,bba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [00m00s] # 1302 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:8,pairs:0,completionMax:3us [00m00s] 1302 ab:baa=aab,bbb=1 infinite ab - - ab:baa=aab,bbb=1 [00m00s] # 1303 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:330,nodes:18,pairs:15,completionMax:59us [00m00s] 1303 ab:baa=abb,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1303 ab:baa=abb,bab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1304 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:212,nodes:14,pairs:17,completionMax:39us [00m00s] 1304 ab:baa=abb,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1304 ab:baa=abb,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1305 solved: rounds:3,rules:6,peak:7,longest:7,steps:10,word:0,work:1877,nodes:30,pairs:15,completionMax:115us [00m00s] 1305 ab:baa=abb,bbb=1 finite:27;idempotents:1,bababa;center:1,aaa,bababa ba - - ab:bbb=1,abb=baa,aab=bba,abaa=bbab,aaaaa=babab,ababab=bababa [00m00s] from: 1305 ab:baa=abb,bbb=1 finite:27;idempotents:1,bababa;center:1,aaa,bababa to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=b,b=a [00m00s] # 1306 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:3,work:236,nodes:18,pairs:13,completionMax:34us [00m00s] 1306 ab:bab=aaa,bba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 1306 ab:bab=aaa,bba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 1307 solved: rounds:5,rules:9,peak:14,longest:29,steps:22,word:42,work:23829,nodes:172,pairs:49,completionMax:917us [00m00s] 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaa=a,abaaaaaaaaaaaaaaaaaaaaaaaa=ab,aaaab=baaaa,bba=abaaaaaaaaaaaaaaaaaaaaaa,bab=aaa,baab=aaabaaa,abb=aabaaaaaaaaaaaaaaaaaaaaa,abaaab=baaabaaaaaaa,bbb=1 [00m00s] # 1308 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:98,nodes:16,pairs:6,completionMax:24us [00m00s] 1308 ab:bab=aab,bbb=1 finite:12;idempotents:1,aaa,aab,abb ab - - ab:ba=aa,bbb=1,aaaa=a [00m00s] from: 1308 ab:bab=aab,bbb=1 finite:12;idempotents:1,aaa,aab,abb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=b,b=a [00m00s] # 1309 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:223,nodes:14,pairs:13,completionMax:35us [00m00s] 1309 ab:bab=aba,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1309 ab:bab=aba,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1310 solved: rounds:3,rules:7,peak:8,longest:6,steps:5,word:0,work:1477,nodes:30,pairs:12,completionMax:107us [00m00s] 1310 ab:bab=aba,bbb=1 finite:27;idempotents:1,aaa;center:1,aaa,bbabba ba - - ab:bbb=1,aba=bab,aaab=baaa,aaaa=a,abbab=babba,abbaa=bbaab,aabba=baabb [00m00s] # 1311 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:74,nodes:8,pairs:3,completionMax:11us [00m00s] 1311 ab:bab=abb,bbb=1 infinite;commutative:ab:b3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,bbb=1 [00m00s] from: 1311 ab:bab=abb,bbb=1 infinite;commutative:ab:b3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=b,b=a [00m00s] # 1312 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:105,nodes:16,pairs:5,completionMax:19us [00m00s] 1312 ab:bab=baa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 1312 ab:bab=baa,bba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 1313 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:6,pairs:2,completionMax:4us [00m00s] 1313 ab:bba=abb,bbb=1 infinite;commutative:ab:b3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,bbb=1 [00m00s] from: 1313 ab:bba=abb,bbb=1 infinite;commutative:ab:b3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=b,b=a [00m00s] # 1314 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:44,nodes:8,pairs:5,completionMax:15us [00m00s] 1314 ab:aaaa=a,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1314 ab:aaaa=a,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1315 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:136,nodes:12,pairs:14,completionMax:23us [00m00s] 1315 ab:aaaa=a,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1315 ab:aaaa=a,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1316 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:1,work:125,nodes:18,pairs:9,completionMax:32us [00m00s] 1316 ab:aaaa=a,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1316 ab:aaaa=a,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1317 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:42,nodes:14,pairs:2,completionMax:14us [00m00s] 1317 ab:aaaa=a,abab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] from: 1317 ab:aaaa=a,abab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [00m00s] # 1318 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:132,nodes:16,pairs:8,completionMax:27us [00m00s] 1318 ab:aaaa=a,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1318 ab:aaaa=a,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1319 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:5,work:98,nodes:24,pairs:6,completionMax:22us [00m00s] 1319 ab:aaaa=a,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1319 ab:aaaa=a,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1320 solved: rounds:4,rules:2,peak:5,longest:6,steps:13,word:2,work:483,nodes:18,pairs:8,completionMax:39us [00m00s] 1320 ab:aaaa=a,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1320 ab:aaaa=a,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1321 solved: rounds:6,rules:2,peak:4,longest:9,steps:4,word:5,work:273,nodes:18,pairs:11,completionMax:55us [00m00s] 1321 ab:aaaa=a,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1321 ab:aaaa=a,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1322 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:3us [00m00s] 1322 ab:aaaa=a,bbbb=1 infinite ab - - ab:aaaa=a,bbbb=1 [00m00s] # 1323 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:3,work:4,nodes:14,pairs:0,completionMax:5us [00m00s] 1323 ab:aaaa=b,aaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1323 ab:aaaa=b,aaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1324 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:3,work:3,nodes:14,pairs:0,completionMax:4us [00m00s] 1324 ab:aaaa=b,aaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1324 ab:aaaa=b,aaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1325 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:10,nodes:20,pairs:0,completionMax:5us [00m00s] 1325 ab:aaaa=b,aabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [00m00s] from: 1325 ab:aaaa=b,aabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [00m00s] # 1326 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:9,nodes:20,pairs:0,completionMax:6us [00m00s] 1326 ab:aaaa=b,abab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [00m00s] from: 1326 ab:aaaa=b,abab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [00m00s] # 1327 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:8,nodes:20,pairs:0,completionMax:10us [00m00s] 1327 ab:aaaa=b,abba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [00m00s] from: 1327 ab:aaaa=b,abba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [00m00s] # 1328 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:18,nodes:26,pairs:0,completionMax:9us [00m00s] 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaa [00m00s] # 1329 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:8,nodes:20,pairs:0,completionMax:5us [00m00s] 1329 ab:aaaa=b,baab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [00m00s] from: 1329 ab:aaaa=b,baab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [00m00s] # 1330 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:17,nodes:26,pairs:0,completionMax:9us [00m00s] 1330 ab:aaaa=b,babb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaa [00m00s] from: 1330 ab:aaaa=b,babb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbbb,b=b [00m00s] # 1331 solved: rounds:0,rules:2,peak:2,longest:16,steps:4,word:12,work:28,nodes:32,pairs:0,completionMax:9us [00m00s] 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaa [00m00s] # 1332 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:66,nodes:10,pairs:17,completionMax:24us [00m00s] 1332 ab:aaab=a,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1332 ab:aaab=a,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1333 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:10,pairs:4,completionMax:13us [00m00s] 1333 ab:aaab=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1333 ab:aaab=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1334 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:328,nodes:16,pairs:31,completionMax:71us [00m00s] 1334 ab:aaab=a,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1334 ab:aaab=a,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1335 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:55,nodes:12,pairs:8,completionMax:25us [00m00s] 1335 ab:aaab=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1335 ab:aaab=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1336 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:145,nodes:16,pairs:17,completionMax:39us [00m00s] 1336 ab:aaab=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1336 ab:aaab=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1337 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:4,work:49,nodes:12,pairs:6,completionMax:16us [00m00s] 1337 ab:aaab=a,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1337 ab:aaab=a,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1338 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:255,nodes:14,pairs:22,completionMax:51us [00m00s] 1338 ab:aaab=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1338 ab:aaab=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1339 solved: rounds:2,rules:2,peak:7,longest:4,steps:3,word:0,work:144,nodes:14,pairs:11,completionMax:36us [00m00s] 1339 ab:aaab=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1339 ab:aaab=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1340 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:113,nodes:14,pairs:14,completionMax:36us [00m00s] 1340 ab:aaab=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1340 ab:aaab=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1341 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:576,nodes:24,pairs:17,completionMax:72us [00m00s] 1341 ab:aaab=a,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1341 ab:aaab=a,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1342 solved: rounds:3,rules:2,peak:8,longest:4,steps:2,word:0,work:291,nodes:18,pairs:23,completionMax:67us [00m00s] 1342 ab:aaab=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1342 ab:aaab=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1343 solved: rounds:3,rules:2,peak:10,longest:25,steps:8,word:21,work:3336,nodes:60,pairs:52,completionMax:221us [00m00s] 1343 ab:aaab=a,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1343 ab:aaab=a,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1344 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:4,work:451,nodes:24,pairs:27,completionMax:78us [00m00s] 1344 ab:aaab=a,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1344 ab:aaab=a,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1345 solved: rounds:4,rules:3,peak:4,longest:9,steps:3,word:5,work:93,nodes:24,pairs:4,completionMax:21us [00m00s] 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbbb=1 [00m00s] # 1346 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:10,completionMax:26us [00m00s] 1346 ab:aaab=b,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1346 ab:aaab=b,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1347 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:46,nodes:12,pairs:6,completionMax:19us [00m00s] 1347 ab:aaab=b,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1347 ab:aaab=b,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1348 solved: rounds:3,rules:2,peak:9,longest:4,steps:2,word:0,work:289,nodes:16,pairs:20,completionMax:60us [00m00s] 1348 ab:aaab=b,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1348 ab:aaab=b,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1349 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:16,pairs:5,completionMax:14us [00m00s] 1349 ab:aaab=b,abab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] from: 1349 ab:aaab=b,abab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [00m00s] # 1350 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:114,nodes:16,pairs:10,completionMax:30us [00m00s] 1350 ab:aaab=b,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1350 ab:aaab=b,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1351 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:69,nodes:24,pairs:5,completionMax:21us [00m00s] 1351 ab:aaab=b,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1351 ab:aaab=b,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1352 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:134,nodes:14,pairs:10,completionMax:31us [00m00s] 1352 ab:aaab=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1352 ab:aaab=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1353 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:2,work:275,nodes:16,pairs:22,completionMax:45us [00m00s] 1353 ab:aaab=b,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1353 ab:aaab=b,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1354 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:14,pairs:4,completionMax:27us [00m00s] 1354 ab:aaab=b,baba=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] from: 1354 ab:aaab=b,baba=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [00m00s] # 1355 solved: rounds:5,rules:2,peak:4,longest:9,steps:4,word:5,work:238,nodes:18,pairs:11,completionMax:43us [00m00s] 1355 ab:aaab=b,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1355 ab:aaab=b,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1356 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:2,work:171,nodes:20,pairs:14,completionMax:44us [00m00s] 1356 ab:aaab=b,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1356 ab:aaab=b,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1357 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1309,nodes:48,pairs:30,completionMax:120us [00m00s] 1357 ab:aaab=b,bbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1357 ab:aaab=b,bbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1358 solved: rounds:3,rules:2,peak:6,longest:10,steps:2,word:5,work:279,nodes:24,pairs:16,completionMax:73us [00m00s] 1358 ab:aaab=b,bbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1358 ab:aaab=b,bbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1359 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:14,pairs:1,completionMax:8us [00m00s] 1359 ab:aaab=b,bbbb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [00m00s] from: 1359 ab:aaab=b,bbbb=1 infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [00m00s] # 1360 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:3,completionMax:10us [00m00s] 1360 ab:aaba=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1360 ab:aaba=a,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1361 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:104,nodes:14,pairs:15,completionMax:27us [00m00s] 1361 ab:aaba=a,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1361 ab:aaba=a,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1362 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:47,nodes:12,pairs:8,completionMax:16us [00m00s] 1362 ab:aaba=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1362 ab:aaba=a,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1363 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:113,nodes:16,pairs:14,completionMax:30us [00m00s] 1363 ab:aaba=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1363 ab:aaba=a,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1364 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:48,nodes:12,pairs:6,completionMax:25us [00m00s] 1364 ab:aaba=a,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1364 ab:aaba=a,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1365 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:201,nodes:16,pairs:19,completionMax:38us [00m00s] 1365 ab:aaba=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1365 ab:aaba=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1366 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:70,nodes:14,pairs:14,completionMax:29us [00m00s] 1366 ab:aaba=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1366 ab:aaba=a,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1367 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:16,pairs:12,completionMax:28us [00m00s] 1367 ab:aaba=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1367 ab:aaba=a,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1368 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:4,work:269,nodes:18,pairs:16,completionMax:56us [00m00s] 1368 ab:aaba=a,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1368 ab:aaba=a,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1369 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:112,nodes:16,pairs:10,completionMax:34us [00m00s] 1369 ab:aaba=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1369 ab:aaba=a,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1370 solved: rounds:6,rules:2,peak:4,longest:5,steps:3,word:2,work:186,nodes:16,pairs:14,completionMax:43us [00m00s] 1370 ab:aaba=a,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1370 ab:aaba=a,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1371 solved: rounds:5,rules:2,peak:5,longest:5,steps:4,word:2,work:194,nodes:16,pairs:11,completionMax:43us [00m00s] 1371 ab:aaba=a,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1371 ab:aaba=a,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1372 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:2us [00m00s] 1372 ab:aaba=a,bbbb=1 infinite ab - - ab:aaba=a,bbbb=1 [00m00s] # 1373 solved: rounds:4,rules:2,peak:7,longest:6,steps:6,word:1,work:697,nodes:20,pairs:19,completionMax:62us [00m00s] 1373 ab:aaba=b,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1373 ab:aaba=b,aabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1374 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:129,nodes:14,pairs:17,completionMax:35us [00m00s] 1374 ab:aaba=b,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1374 ab:aaba=b,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1375 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:67,nodes:12,pairs:8,completionMax:20us [00m00s] 1375 ab:aaba=b,abab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1375 ab:aaba=b,abab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1376 solved: rounds:2,rules:2,peak:9,longest:8,steps:5,word:2,work:716,nodes:22,pairs:19,completionMax:69us [00m00s] 1376 ab:aaba=b,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1376 ab:aaba=b,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1377 solved: rounds:3,rules:2,peak:5,longest:10,steps:3,word:10,work:276,nodes:32,pairs:13,completionMax:72us [00m00s] 1377 ab:aaba=b,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1377 ab:aaba=b,abbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1378 solved: rounds:2,rules:2,peak:9,longest:4,steps:3,word:0,work:350,nodes:16,pairs:27,completionMax:75us [00m00s] 1378 ab:aaba=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1378 ab:aaba=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1379 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:77,nodes:14,pairs:9,completionMax:23us [00m00s] 1379 ab:aaba=b,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1379 ab:aaba=b,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1380 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:382,nodes:22,pairs:18,completionMax:55us [00m00s] 1380 ab:aaba=b,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1380 ab:aaba=b,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1381 solved: rounds:2,rules:2,peak:5,longest:9,steps:5,word:5,work:430,nodes:26,pairs:19,completionMax:55us [00m00s] 1381 ab:aaba=b,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1381 ab:aaba=b,babb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1382 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:2,work:305,nodes:22,pairs:19,completionMax:61us [00m00s] 1382 ab:aaba=b,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1382 ab:aaba=b,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1383 solved: rounds:3,rules:2,peak:10,longest:9,steps:8,word:10,work:2259,nodes:46,pairs:54,completionMax:232us [00m00s] 1383 ab:aaba=b,bbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1383 ab:aaba=b,bbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1384 solved: rounds:3,rules:2,peak:7,longest:10,steps:2,word:5,work:495,nodes:28,pairs:19,completionMax:103us [00m00s] 1384 ab:aaba=b,bbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 1384 ab:aaba=b,bbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 1385 solved: rounds:5,rules:3,peak:14,longest:17,steps:15,word:18,work:13409,nodes:78,pairs:80,completionMax:808us [00m00s] 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaa,bbbb=1 [00m00s] # 1386 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:211,nodes:20,pairs:10,completionMax:41us [00m00s] 1386 ab:aabb=a,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1386 ab:aabb=a,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1387 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m00s] 1387 ab:aabb=a,abab=1 infinite ab - - ab:aabb=a,abab=1 [00m00s] # 1388 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:16,pairs:13,completionMax:41us [00m00s] 1388 ab:aabb=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1388 ab:aabb=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1389 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:12,pairs:4,completionMax:9us [00m00s] 1389 ab:aabb=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1389 ab:aabb=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1390 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:1,work:198,nodes:22,pairs:19,completionMax:57us [00m00s] 1390 ab:aabb=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1390 ab:aabb=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1391 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:92,nodes:14,pairs:13,completionMax:46us [00m00s] 1391 ab:aabb=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1391 ab:aabb=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1392 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:229,nodes:16,pairs:22,completionMax:53us [00m00s] 1392 ab:aabb=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1392 ab:aabb=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1393 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:161,nodes:14,pairs:18,completionMax:30us [00m00s] 1393 ab:aabb=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1393 ab:aabb=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1394 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:285,nodes:18,pairs:24,completionMax:47us [00m00s] 1394 ab:aabb=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1394 ab:aabb=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1395 solved: rounds:3,rules:2,peak:8,longest:4,steps:3,word:0,work:559,nodes:18,pairs:45,completionMax:107us [00m00s] 1395 ab:aabb=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1395 ab:aabb=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1396 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:150,nodes:16,pairs:14,completionMax:48us [00m00s] 1396 ab:aabb=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1396 ab:aabb=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1397 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:23,nodes:16,pairs:3,completionMax:15us [00m00s] 1397 ab:aabb=a,bbbb=1 infinite ab - - ab:aaa=a,abb=aa,bbbb=1 [00m00s] # 1398 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:42,nodes:14,pairs:7,completionMax:19us [00m00s] 1398 ab:aabb=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1398 ab:aabb=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1399 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:4,work:154,nodes:16,pairs:13,completionMax:39us [00m00s] 1399 ab:aabb=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1399 ab:aabb=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1400 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:113,nodes:16,pairs:15,completionMax:43us [00m00s] 1400 ab:aabb=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 1400 ab:aabb=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 1401 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:14,pairs:8,completionMax:24us [00m00s] 1401 ab:abaa=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1401 ab:abaa=a,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1402 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:16,pairs:12,completionMax:43us [00m00s] 1402 ab:abaa=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1402 ab:abaa=b,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 1403 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:224,nodes:18,pairs:26,completionMax:57us [00m00s] 1403 ab:abab=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1403 ab:abab=a,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1404 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:145,nodes:10,pairs:8,completionMax:32us [00m00s] 1404 ab:abab=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1404 ab:abab=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1405 solved: rounds:3,rules:2,peak:6,longest:6,steps:1,word:1,work:224,nodes:20,pairs:20,completionMax:54us [00m00s] 1405 ab:abab=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1405 ab:abab=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1406 solved: rounds:2,rules:2,peak:7,longest:4,steps:3,word:0,work:227,nodes:16,pairs:19,completionMax:45us [00m00s] 1406 ab:abab=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1406 ab:abab=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1407 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:70,nodes:14,pairs:9,completionMax:24us [00m00s] 1407 ab:abab=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1407 ab:abab=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1408 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:86,nodes:14,pairs:15,completionMax:30us [00m00s] 1408 ab:abab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1408 ab:abab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1409 solved: rounds:3,rules:2,peak:8,longest:4,steps:4,word:0,work:420,nodes:20,pairs:26,completionMax:82us [00m00s] 1409 ab:abab=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1409 ab:abab=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1410 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:277,nodes:18,pairs:23,completionMax:74us [00m00s] 1410 ab:abab=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1410 ab:abab=a,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1411 solved: rounds:3,rules:2,peak:10,longest:4,steps:4,word:0,work:580,nodes:18,pairs:28,completionMax:100us [00m00s] 1411 ab:abab=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1411 ab:abab=a,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1412 solved: rounds:3,rules:4,peak:6,longest:4,steps:4,word:0,work:258,nodes:20,pairs:13,completionMax:56us [00m00s] 1412 ab:abab=a,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab ab - - ab:aaa=a,aba=aab,abb=aa,bbbb=1 [00m00s] # 1413 solved: rounds:5,rules:2,peak:8,longest:5,steps:3,word:2,work:309,nodes:18,pairs:24,completionMax:76us [00m00s] 1413 ab:abab=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1413 ab:abab=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1414 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:165,nodes:16,pairs:20,completionMax:43us [00m00s] 1414 ab:abab=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1414 ab:abab=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1415 solved: rounds:3,rules:2,peak:10,longest:8,steps:16,word:4,work:1416,nodes:24,pairs:28,completionMax:118us [00m00s] 1415 ab:abab=b,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1415 ab:abab=b,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1416 solved: rounds:7,rules:2,peak:4,longest:8,steps:6,word:5,work:290,nodes:16,pairs:16,completionMax:58us [00m00s] 1416 ab:abab=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 1416 ab:abab=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 1417 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:8,pairs:4,completionMax:11us [00m00s] 1417 ab:abba=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1417 ab:abba=a,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1418 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:114,nodes:20,pairs:11,completionMax:45us [00m00s] 1418 ab:abba=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1418 ab:abba=a,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1419 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:245,nodes:16,pairs:12,completionMax:44us [00m00s] 1419 ab:abba=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1419 ab:abba=a,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1420 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:16,pairs:13,completionMax:48us [00m00s] 1420 ab:abba=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1420 ab:abba=a,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1421 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:113,nodes:14,pairs:15,completionMax:47us [00m00s] 1421 ab:abba=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1421 ab:abba=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1422 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:47,nodes:14,pairs:5,completionMax:16us [00m00s] 1422 ab:abba=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1422 ab:abba=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1423 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:3us [00m00s] 1423 ab:abba=a,bbbb=1 infinite ab - - ab:abba=a,bbbb=1 [00m00s] # 1424 solved: rounds:2,rules:2,peak:9,longest:9,steps:26,word:6,work:1322,nodes:28,pairs:11,completionMax:92us [00m00s] 1424 ab:abba=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1424 ab:abba=b,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1425 solved: rounds:2,rules:2,peak:8,longest:4,steps:7,word:0,work:311,nodes:18,pairs:16,completionMax:56us [00m00s] 1425 ab:abba=b,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1425 ab:abba=b,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1426 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:302,nodes:14,pairs:17,completionMax:37us [00m00s] 1426 ab:abba=b,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1426 ab:abba=b,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1427 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:2,work:475,nodes:18,pairs:25,completionMax:88us [00m00s] 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [00m00s] # 1428 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:196,nodes:16,pairs:19,completionMax:68us [00m00s] 1428 ab:abba=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1428 ab:abba=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1429 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:71,nodes:14,pairs:10,completionMax:30us [00m00s] 1429 ab:abba=b,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1429 ab:abba=b,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1430 solved: rounds:5,rules:2,peak:8,longest:8,steps:9,word:5,work:931,nodes:16,pairs:27,completionMax:121us [00m00s] 1430 ab:abba=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 1430 ab:abba=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 1431 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:24,nodes:14,pairs:3,completionMax:13us [00m00s] 1431 ab:abbb=a,bbbb=1 infinite ab - - ab:ab=a,bbbb=1 [00m00s] from: 1431 ab:abbb=a,bbbb=1 infinite to: 234 ab:ab=a,bbbb=1 infinite a=a,b=b [00m00s] # 1432 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:14,nodes:14,pairs:3,completionMax:12us [00m00s] 1432 ab:abbb=b,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1432 ab:abbb=b,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1433 solved: rounds:2,rules:2,peak:10,longest:4,steps:6,word:0,work:676,nodes:20,pairs:23,completionMax:86us [00m00s] 1433 ab:baab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1433 ab:baab=a,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1434 solved: rounds:5,rules:9,peak:13,longest:16,steps:14,word:8,work:9374,nodes:108,pairs:43,completionMax:436us [00m00s] 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,abaaaaaaaaaaaa=ab,aaab=baaa,baab=a,abb=babaa,aabab=bba,bbba=aab,babab=abaaaaaaaaaa,bbbb=1 [00m00s] # 1435 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:2,work:207,nodes:16,pairs:21,completionMax:71us [00m00s] 1435 ab:baab=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1435 ab:baab=b,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1436 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:5,work:214,nodes:16,pairs:12,completionMax:46us [00m00s] 1436 ab:baab=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 1436 ab:baab=b,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 1437 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:12,pairs:4,completionMax:10us [00m00s] 1437 ab:baba=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1437 ab:baba=a,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1438 solved: rounds:1,rules:2,peak:3,longest:4,steps:6,word:3,work:92,nodes:12,pairs:4,completionMax:12us [00m00s] 1438 ab:babb=a,bbbb=1 infinite b/a - - ab:bbbb=1,ba=abb [00m00s] # 1439 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:56,nodes:16,pairs:7,completionMax:22us [00m00s] 1439 ab:babb=b,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1439 ab:babb=b,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1440 solved: rounds:1,rules:1,peak:2,longest:3,steps:2,word:0,work:35,nodes:6,pairs:4,completionMax:7us [00m00s] 1440 ab:aaa=aa,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 1440 ab:aaa=aa,aaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 1441 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:43,nodes:6,pairs:4,completionMax:13us [00m00s] 1441 ab:aaa=aa,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1441 ab:aaa=aa,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1442 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:61,nodes:8,pairs:7,completionMax:14us [00m00s] 1442 ab:aaa=aa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1442 ab:aaa=aa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1443 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:8,pairs:4,completionMax:10us [00m00s] 1443 ab:aaa=aa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1443 ab:aaa=aa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1444 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:57,nodes:10,pairs:4,completionMax:9us [00m00s] 1444 ab:aaa=aa,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1444 ab:aaa=aa,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1445 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:105,nodes:14,pairs:8,completionMax:16us [00m00s] 1445 ab:aaa=aa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1445 ab:aaa=aa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1446 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:52,nodes:10,pairs:3,completionMax:8us [00m00s] 1446 ab:aaa=aa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1446 ab:aaa=aa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1447 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:152,nodes:12,pairs:25,completionMax:33us [00m00s] 1447 ab:aaa=aa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1447 ab:aaa=aa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1448 solved: rounds:5,rules:2,peak:5,longest:5,steps:6,word:0,work:325,nodes:18,pairs:9,completionMax:45us [00m00s] 1448 ab:aaa=aa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1448 ab:aaa=aa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1449 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:12,pairs:0,completionMax:2us [00m00s] 1449 ab:aaa=aa,bbbb=1 infinite ab - - ab:aaa=aa,bbbb=1 [00m00s] # 1450 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [00m00s] 1450 ab:aaa=ab,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 1450 ab:aaa=ab,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 1451 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:9,nodes:10,pairs:1,completionMax:5us [00m00s] 1451 ab:aaa=ab,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1451 ab:aaa=ab,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1452 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:8,nodes:10,pairs:1,completionMax:4us [00m00s] 1452 ab:aaa=ab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1452 ab:aaa=ab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1453 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:14,nodes:12,pairs:1,completionMax:7us [00m00s] 1453 ab:aaa=ab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1453 ab:aaa=ab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1454 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:7,nodes:10,pairs:1,completionMax:5us [00m00s] 1454 ab:aaa=ab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1454 ab:aaa=ab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1455 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:13,nodes:12,pairs:1,completionMax:6us [00m00s] 1455 ab:aaa=ab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1455 ab:aaa=ab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1456 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:12,nodes:12,pairs:1,completionMax:5us [00m00s] 1456 ab:aaa=ab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1456 ab:aaa=ab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1457 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:3,work:19,nodes:14,pairs:1,completionMax:7us [00m00s] 1457 ab:aaa=ab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1457 ab:aaa=ab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1458 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:47,nodes:18,pairs:3,completionMax:17us [00m00s] 1458 ab:aaa=ab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1458 ab:aaa=ab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1459 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:1,work:60,nodes:22,pairs:3,completionMax:24us [00m00s] 1459 ab:aaa=ab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1459 ab:aaa=ab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1460 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:1,work:59,nodes:22,pairs:3,completionMax:26us [00m00s] 1460 ab:aaa=ab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1460 ab:aaa=ab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1461 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:73,nodes:26,pairs:3,completionMax:29us [00m00s] 1461 ab:aaa=ab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1461 ab:aaa=ab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1462 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:73,nodes:20,pairs:4,completionMax:31us [00m00s] 1462 ab:aaa=ab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1462 ab:aaa=ab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1463 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:90,nodes:24,pairs:4,completionMax:35us [00m00s] 1463 ab:aaa=ab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1463 ab:aaa=ab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1464 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:3,work:109,nodes:22,pairs:5,completionMax:23us [00m00s] 1464 ab:aaa=ab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1464 ab:aaa=ab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1465 solved: rounds:1,rules:3,peak:3,longest:9,steps:3,word:3,work:47,nodes:24,pairs:1,completionMax:14us [00m00s] 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,ab=aaa,bbbb=1 [00m00s] # 1466 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:80,nodes:16,pairs:9,completionMax:27us [00m00s] 1466 ab:aaa=bb,aaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [00m00s] from: 1466 ab:aaa=bb,aaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [00m00s] # 1467 solved: rounds:1,rules:2,peak:4,longest:9,steps:2,word:5,work:37,nodes:20,pairs:2,completionMax:15us [00m00s] 1467 ab:aaa=bb,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [00m00s] from: 1467 ab:aaa=bb,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [00m00s] # 1468 solved: rounds:3,rules:2,peak:6,longest:9,steps:10,word:10,work:696,nodes:26,pairs:16,completionMax:55us [00m00s] 1468 ab:aaa=bb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [00m00s] from: 1468 ab:aaa=bb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [00m00s] # 1469 solved: rounds:1,rules:2,peak:4,longest:10,steps:3,word:6,work:125,nodes:26,pairs:4,completionMax:21us [00m00s] 1469 ab:aaa=bb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m00s] from: 1469 ab:aaa=bb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m00s] # 1470 solved: rounds:3,rules:3,peak:7,longest:15,steps:13,word:15,work:1738,nodes:42,pairs:17,completionMax:106us [00m00s] 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [00m00s] # 1471 solved: rounds:3,rules:2,peak:5,longest:10,steps:3,word:3,work:220,nodes:20,pairs:14,completionMax:28us [00m00s] 1471 ab:aaa=bb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m00s] from: 1471 ab:aaa=bb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m00s] # 1472 solved: rounds:2,rules:2,peak:3,longest:11,steps:1,word:6,work:28,nodes:22,pairs:4,completionMax:14us [00m00s] 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [00m00s] # 1473 solved: rounds:3,rules:2,peak:7,longest:10,steps:11,word:9,work:1064,nodes:30,pairs:16,completionMax:81us [00m00s] 1473 ab:aaa=bb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m00s] from: 1473 ab:aaa=bb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m00s] # 1474 solved: rounds:2,rules:2,peak:3,longest:11,steps:1,word:6,work:40,nodes:22,pairs:5,completionMax:21us [00m00s] 1474 ab:aaa=bb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [00m00s] from: 1474 ab:aaa=bb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [00m00s] # 1475 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:51,nodes:12,pairs:2,completionMax:8us [00m00s] 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [00m00s] # 1476 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:2,completionMax:8us [00m00s] 1476 ab:aab=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 1476 ab:aab=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 1477 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:6,pairs:2,completionMax:5us [00m00s] 1477 ab:aab=aa,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1477 ab:aab=aa,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1478 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:11,nodes:6,pairs:2,completionMax:4us [00m00s] 1478 ab:aab=aa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1478 ab:aab=aa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1479 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:4us [00m00s] 1479 ab:aab=aa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1479 ab:aab=aa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1480 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:62,nodes:12,pairs:7,completionMax:18us [00m00s] 1480 ab:aab=aa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1480 ab:aab=aa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1481 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:55,nodes:10,pairs:7,completionMax:18us [00m00s] 1481 ab:aab=aa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1481 ab:aab=aa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1482 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:104,nodes:14,pairs:7,completionMax:21us [00m00s] 1482 ab:aab=aa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1482 ab:aab=aa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1483 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:40,nodes:10,pairs:4,completionMax:11us [00m00s] 1483 ab:aab=aa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1483 ab:aab=aa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1484 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:74,nodes:16,pairs:4,completionMax:18us [00m00s] 1484 ab:aab=aa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1484 ab:aab=aa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1485 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:57,nodes:12,pairs:4,completionMax:17us [00m00s] 1485 ab:aab=aa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1485 ab:aab=aa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1486 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:116,nodes:14,pairs:6,completionMax:33us [00m00s] 1486 ab:aab=aa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1486 ab:aab=aa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1487 solved: rounds:3,rules:2,peak:6,longest:4,steps:7,word:0,work:210,nodes:12,pairs:19,completionMax:45us [00m00s] 1487 ab:aab=aa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1487 ab:aab=aa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1488 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:14,pairs:5,completionMax:15us [00m00s] 1488 ab:aab=aa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1488 ab:aab=aa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1489 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:634,nodes:16,pairs:30,completionMax:96us [00m00s] 1489 ab:aab=aa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1489 ab:aab=aa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1490 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:106,nodes:12,pairs:8,completionMax:24us [00m00s] 1490 ab:aab=aa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1490 ab:aab=aa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1491 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:9,nodes:12,pairs:0,completionMax:3us [00m00s] 1491 ab:aab=aa,bbbb=1 infinite ab - - ab:aab=aa,bbbb=1 [00m00s] # 1492 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:23,nodes:8,pairs:2,completionMax:6us [00m00s] 1492 ab:aab=ab,aaaa=1 infinite ab - - ab:ab=b,aaaa=1 [00m00s] # 1493 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:5us [00m00s] 1493 ab:aab=ab,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1493 ab:aab=ab,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1494 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:5,completionMax:11us [00m00s] 1494 ab:aab=ab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1494 ab:aab=ab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1495 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:5us [00m00s] 1495 ab:aab=ab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1495 ab:aab=ab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1496 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:12,pairs:7,completionMax:15us [00m00s] 1496 ab:aab=ab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1496 ab:aab=ab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1497 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:10,pairs:3,completionMax:7us [00m00s] 1497 ab:aab=ab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1497 ab:aab=ab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1498 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:5,completionMax:10us [00m00s] 1498 ab:aab=ab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1498 ab:aab=ab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1499 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:10,pairs:2,completionMax:6us [00m00s] 1499 ab:aab=ab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1499 ab:aab=ab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1500 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:90,nodes:12,pairs:8,completionMax:17us [00m00s] 1500 ab:aab=ab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1500 ab:aab=ab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1501 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:63,nodes:10,pairs:8,completionMax:15us [00m00s] 1501 ab:aab=ab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1501 ab:aab=ab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1502 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:52,nodes:12,pairs:6,completionMax:11us [00m00s] 1502 ab:aab=ab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1502 ab:aab=ab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1503 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:232,nodes:16,pairs:15,completionMax:31us [00m00s] 1503 ab:aab=ab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1503 ab:aab=ab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1504 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:93,nodes:12,pairs:8,completionMax:15us [00m00s] 1504 ab:aab=ab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1504 ab:aab=ab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1505 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:152,nodes:12,pairs:14,completionMax:33us [00m00s] 1505 ab:aab=ab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1505 ab:aab=ab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1506 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:78,nodes:12,pairs:7,completionMax:19us [00m00s] 1506 ab:aab=ab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1506 ab:aab=ab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1507 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:12,pairs:1,completionMax:6us [00m00s] 1507 ab:aab=ab,bbbb=1 infinite ab - - ab:aa=a,bbbb=1 [00m00s] from: 1507 ab:aab=ab,bbbb=1 infinite to: 208 ab:aa=a,bbbb=1 infinite a=a,b=b [00m00s] # 1508 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:1,work:21,nodes:8,pairs:0,completionMax:2us [00m00s] 1508 ab:aab=ba,aaaa=1 infinite reversed:a/b - - ab:aaaa=1,ba=aab [00m00s] from: 1508 ab:aab=ba,aaaa=1 infinite to: 1438 ab:babb=a,bbbb=1 infinite anti:a=b,b=a [00m00s] # 1509 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:10,pairs:6,completionMax:15us [00m00s] 1509 ab:aab=ba,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1509 ab:aab=ba,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1510 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:124,nodes:14,pairs:16,completionMax:28us [00m00s] 1510 ab:aab=ba,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1510 ab:aab=ba,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1511 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:131,nodes:12,pairs:9,completionMax:18us [00m00s] 1511 ab:aab=ba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1511 ab:aab=ba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1512 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:146,nodes:16,pairs:8,completionMax:20us [00m00s] 1512 ab:aab=ba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1512 ab:aab=ba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1513 solved: rounds:4,rules:3,peak:9,longest:4,steps:3,word:1,work:564,nodes:20,pairs:33,completionMax:127us [00m00s] 1513 ab:aab=ba,abab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m00s] from: 1513 ab:aab=ba,abab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m00s] # 1514 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:382,nodes:22,pairs:18,completionMax:77us [00m00s] 1514 ab:aab=ba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1514 ab:aab=ba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1515 solved: rounds:3,rules:2,peak:6,longest:4,steps:5,word:0,work:310,nodes:18,pairs:20,completionMax:65us [00m00s] 1515 ab:aab=ba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1515 ab:aab=ba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1516 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:146,nodes:16,pairs:16,completionMax:34us [00m00s] 1516 ab:aab=ba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1516 ab:aab=ba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1517 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:10,pairs:8,completionMax:11us [00m00s] 1517 ab:aab=ba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1517 ab:aab=ba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1518 solved: rounds:3,rules:3,peak:10,longest:5,steps:3,word:1,work:561,nodes:28,pairs:26,completionMax:77us [00m00s] 1518 ab:aab=ba,baba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m00s] from: 1518 ab:aab=ba,baba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m00s] # 1519 solved: rounds:3,rules:2,peak:5,longest:4,steps:5,word:0,work:202,nodes:16,pairs:12,completionMax:30us [00m00s] 1519 ab:aab=ba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1519 ab:aab=ba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1520 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:340,nodes:24,pairs:29,completionMax:66us [00m00s] 1520 ab:aab=ba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1520 ab:aab=ba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1521 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:688,nodes:22,pairs:41,completionMax:80us [00m00s] 1521 ab:aab=ba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1521 ab:aab=ba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1522 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:49,nodes:12,pairs:8,completionMax:22us [00m00s] 1522 ab:aab=ba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1522 ab:aab=ba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1523 solved: rounds:4,rules:3,peak:8,longest:18,steps:24,word:10,work:3443,nodes:72,pairs:28,completionMax:213us [00m00s] 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=baaaaaaaa,bbbb=1 [00m00s] # 1524 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:23,nodes:12,pairs:2,completionMax:6us [00m00s] 1524 ab:aab=bb,aaaa=1 infinite ab - - ab:aab=bb,bbb=b,aaaa=1 [00m00s] # 1525 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:1,work:28,nodes:10,pairs:3,completionMax:9us [00m00s] 1525 ab:aab=bb,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1525 ab:aab=bb,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1526 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:2,work:738,nodes:30,pairs:15,completionMax:66us [00m00s] 1526 ab:aab=bb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1526 ab:aab=bb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1527 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:1,work:33,nodes:12,pairs:3,completionMax:12us [00m00s] 1527 ab:aab=bb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1527 ab:aab=bb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1528 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:7,work:762,nodes:24,pairs:13,completionMax:58us [00m00s] 1528 ab:aab=bb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1528 ab:aab=bb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1529 solved: rounds:3,rules:2,peak:8,longest:12,steps:2,word:8,work:985,nodes:38,pairs:26,completionMax:91us [00m00s] 1529 ab:aab=bb,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1529 ab:aab=bb,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1530 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:1,work:393,nodes:18,pairs:14,completionMax:45us [00m00s] 1530 ab:aab=bb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1530 ab:aab=bb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1531 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:38,nodes:14,pairs:3,completionMax:11us [00m00s] 1531 ab:aab=bb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1531 ab:aab=bb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1532 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:28,nodes:10,pairs:3,completionMax:15us [00m00s] 1532 ab:aab=bb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1532 ab:aab=bb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1533 solved: rounds:1,rules:2,peak:4,longest:6,steps:3,word:1,work:57,nodes:18,pairs:4,completionMax:15us [00m00s] 1533 ab:aab=bb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1533 ab:aab=bb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1534 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:39,nodes:12,pairs:4,completionMax:17us [00m00s] 1534 ab:aab=bb,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1534 ab:aab=bb,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1535 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:154,nodes:26,pairs:6,completionMax:34us [00m00s] 1535 ab:aab=bb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1535 ab:aab=bb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1536 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:1,work:854,nodes:32,pairs:15,completionMax:73us [00m00s] 1536 ab:aab=bb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1536 ab:aab=bb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1537 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:2,work:318,nodes:28,pairs:11,completionMax:52us [00m00s] 1537 ab:aab=bb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1537 ab:aab=bb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1538 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:2,work:556,nodes:26,pairs:27,completionMax:84us [00m00s] 1538 ab:aab=bb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1538 ab:aab=bb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1539 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:43,nodes:16,pairs:3,completionMax:15us [00m00s] 1539 ab:aab=bb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 1539 ab:aab=bb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 1540 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:12,pairs:4,completionMax:17us [00m00s] 1540 ab:aba=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 1540 ab:aba=aa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 1541 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:70,nodes:10,pairs:5,completionMax:30us [00m00s] 1541 ab:aba=aa,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1541 ab:aba=aa,aaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1542 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:43,nodes:10,pairs:4,completionMax:15us [00m00s] 1542 ab:aba=aa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1542 ab:aba=aa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1543 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:3,completionMax:11us [00m00s] 1543 ab:aba=aa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1543 ab:aba=aa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1544 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:61,nodes:8,pairs:7,completionMax:14us [00m00s] 1544 ab:aba=aa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1544 ab:aba=aa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1545 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:63,nodes:10,pairs:7,completionMax:22us [00m00s] 1545 ab:aba=aa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1545 ab:aba=aa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1546 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:19us [00m00s] 1546 ab:aba=aa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1546 ab:aba=aa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1547 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:230,nodes:16,pairs:21,completionMax:79us [00m00s] 1547 ab:aba=aa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1547 ab:aba=aa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1548 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:192,nodes:16,pairs:29,completionMax:56us [00m00s] 1548 ab:aba=aa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1548 ab:aba=aa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1549 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:12,pairs:0,completionMax:3us [00m00s] 1549 ab:aba=aa,bbbb=1 infinite ab - - ab:aba=aa,bbbb=1 [00m00s] # 1550 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:31,nodes:12,pairs:2,completionMax:12us [00m00s] 1550 ab:aba=ab,aaaa=1 infinite ab - - ab:ba=b,aaaa=1 [00m00s] from: 1550 ab:aba=ab,aaaa=1 infinite to: 234 ab:ab=a,bbbb=1 infinite a=b,b=a [00m00s] # 1551 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:45,nodes:12,pairs:6,completionMax:18us [00m00s] 1551 ab:aba=ab,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1551 ab:aba=ab,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1552 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:39,nodes:10,pairs:5,completionMax:16us [00m00s] 1552 ab:aba=ab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1552 ab:aba=ab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1553 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:104,nodes:12,pairs:7,completionMax:23us [00m00s] 1553 ab:aba=ab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1553 ab:aba=ab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1554 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:6,pairs:3,completionMax:4us [00m00s] 1554 ab:aba=ab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1554 ab:aba=ab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1555 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:6,pairs:3,completionMax:7us [00m00s] 1555 ab:aba=ab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1555 ab:aba=ab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1556 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:92,nodes:10,pairs:12,completionMax:33us [00m00s] 1556 ab:aba=ab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1556 ab:aba=ab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1557 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:59,nodes:12,pairs:7,completionMax:23us [00m00s] 1557 ab:aba=ab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1557 ab:aba=ab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1558 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:116,nodes:12,pairs:9,completionMax:21us [00m00s] 1558 ab:aba=ab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1558 ab:aba=ab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1559 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:0,work:43,nodes:12,pairs:4,completionMax:15us [00m00s] 1559 ab:aba=ab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1559 ab:aba=ab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1560 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:31,nodes:10,pairs:4,completionMax:13us [00m00s] 1560 ab:aba=ab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1560 ab:aba=ab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1561 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:199,nodes:14,pairs:15,completionMax:46us [00m00s] 1561 ab:aba=ab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1561 ab:aba=ab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1562 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:12,pairs:4,completionMax:17us [00m00s] 1562 ab:aba=ab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1562 ab:aba=ab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1563 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:21,nodes:12,pairs:4,completionMax:14us [00m00s] 1563 ab:aba=ab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1563 ab:aba=ab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1564 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:12,pairs:4,completionMax:7us [00m00s] 1564 ab:aba=ab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 1564 ab:aba=ab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 1565 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:161,nodes:16,pairs:4,completionMax:22us [00m00s] 1565 ab:aba=ab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab ab - - ab:aa=a,aba=ab,abba=abb,bbbb=1,abbba=abbb [00m00s] # 1566 solved: rounds:5,rules:11,peak:17,longest:17,steps:20,word:10,work:23180,nodes:142,pairs:53,completionMax:838us [00m00s] 1566 ab:aba=bb,aaaa=1 finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,aba=bb,baabbbbbbbbbbbb=baa,babba=aabbbbb,bbaa=abbabbbbbbbbbb,aaab=babbbbbbbbbbb,baaa=bbabbbbbbbbbb,baabba=aabbabbbbb,aaaa=1 [00m00s] # 1567 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:1,work:23,nodes:10,pairs:3,completionMax:11us [00m00s] 1567 ab:aba=bb,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1567 ab:aba=bb,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1568 solved: rounds:2,rules:2,peak:7,longest:5,steps:7,word:2,work:427,nodes:20,pairs:7,completionMax:47us [00m00s] 1568 ab:aba=bb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1568 ab:aba=bb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1569 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:347,nodes:24,pairs:14,completionMax:59us [00m00s] 1569 ab:aba=bb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1569 ab:aba=bb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1570 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [00m00s] 1570 ab:aba=bb,abab=1 infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [00m00s] from: 1570 ab:aba=bb,abab=1 infinite;group:a-bab,b-bb to: 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb a=a,b=b [00m00s] # 1571 solved: rounds:3,rules:2,peak:8,longest:10,steps:10,word:2,work:1419,nodes:32,pairs:16,completionMax:109us [00m00s] 1571 ab:aba=bb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1571 ab:aba=bb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1572 solved: rounds:4,rules:2,peak:7,longest:9,steps:10,word:2,work:1521,nodes:28,pairs:28,completionMax:105us [00m00s] 1572 ab:aba=bb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1572 ab:aba=bb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1573 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:2,work:483,nodes:26,pairs:17,completionMax:65us [00m00s] 1573 ab:aba=bb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1573 ab:aba=bb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 1574 solved: rounds:3,rules:2,peak:7,longest:8,steps:8,word:2,work:1282,nodes:30,pairs:20,completionMax:93us [00m00s] 1574 ab:aba=bb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 1574 ab:aba=bb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1575 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:3,work:911,nodes:40,pairs:18,completionMax:105us [00m00s] 1575 ab:aba=bb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 1575 ab:aba=bb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 1576 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:64,nodes:6,pairs:4,completionMax:12us [00m00s] 1576 ab:aaa=aa,aab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 1576 ab:aaa=aa,aab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 1577 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:38,nodes:6,pairs:1,completionMax:7us [00m00s] 1577 ab:aaa=aa,aab=b infinite ab - - ab:ab=b,aaa=aa [00m00s] # 1578 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:37,nodes:8,pairs:0,completionMax:28us [00m00s] 1578 ab:aaa=aa,aba=a infinite ab - - ab:aaa=aa,aba=a [00m00s] # 1579 solved: rounds:2,rules:3,peak:7,longest:3,steps:3,word:0,work:214,nodes:14,pairs:8,completionMax:32us [00m00s] 1579 ab:aaa=aa,aba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b,aaa=aa [00m00s] # 1580 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:4us [00m00s] 1580 ab:aaa=aa,abb=a infinite ab - - ab:aaa=aa,abb=a [00m00s] # 1581 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:61,nodes:8,pairs:3,completionMax:16us [00m00s] 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [00m00s] # 1582 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:247,nodes:12,pairs:3,completionMax:24us [00m00s] 1582 ab:aaa=aa,bab=a infinite ab - - ab:aaa=aa,baa=aab,bab=a,aaba=aab,aabb=aa [00m00s] # 1583 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:2us [00m00s] 1583 ab:aaa=aa,bab=b infinite ab - - ab:aaa=aa,bab=b [00m00s] # 1584 solved: rounds:1,rules:2,peak:2,longest:9,steps:4,word:8,work:287,nodes:18,pairs:3,completionMax:14us [00m00s] 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 b/a - - ab:bbbbbbbbb=bbbbbb,a=bbb [00m00s] # 1585 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:4us [00m00s] 1585 ab:aaa=aa,bbb=b infinite ab - - ab:aaa=aa,bbb=b [00m00s] # 1586 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:17,nodes:8,pairs:0,completionMax:2us [00m00s] 1586 ab:aaa=ab,aab=a infinite a/b - - ab:aaaa=a,ab=aaa [00m00s] # 1587 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:43,nodes:10,pairs:1,completionMax:6us [00m00s] 1587 ab:aaa=ab,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [00m00s] from: 1587 ab:aaa=ab,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [00m00s] # 1588 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:16,nodes:8,pairs:0,completionMax:5us [00m00s] 1588 ab:aaa=ab,aba=a infinite a/b - - ab:aaaa=a,ab=aaa [00m00s] from: 1588 ab:aaa=ab,aba=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [00m00s] # 1589 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:42,nodes:10,pairs:1,completionMax:8us [00m00s] 1589 ab:aaa=ab,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [00m00s] from: 1589 ab:aaa=ab,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [00m00s] # 1590 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:23,nodes:10,pairs:0,completionMax:3us [00m00s] 1590 ab:aaa=ab,abb=a infinite a/b - - ab:aaaaa=a,ab=aaa [00m00s] # 1591 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:42,nodes:12,pairs:1,completionMax:6us [00m00s] 1591 ab:aaa=ab,abb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaaa [00m00s] from: 1591 ab:aaa=ab,abb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbb [00m00s] # 1592 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:129,nodes:14,pairs:3,completionMax:32us [00m00s] 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [00m00s] # 1593 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:105,nodes:14,pairs:2,completionMax:20us [00m00s] 1593 ab:aaa=ab,baa=b finite:7;idempotents:1,b,aaaa a/b - - ab:aaaaa=aaa,baa=b,ab=aaa,bb=b [00m00s] # 1594 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:1,work:226,nodes:18,pairs:5,completionMax:42us [00m00s] 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa [00m00s] # 1595 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:105,nodes:18,pairs:2,completionMax:22us [00m00s] 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa a/b - - ab:aaaaaa=aaa,baaa=b,ab=aaa,bb=baa [00m00s] # 1596 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:51,nodes:16,pairs:1,completionMax:21us [00m00s] 1596 ab:aaa=ab,bba=a infinite a/b - - ab:aaaaaa=aa,ab=aaa,bba=a [00m00s] # 1597 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:1,work:123,nodes:18,pairs:4,completionMax:28us [00m00s] 1597 ab:aaa=ab,bba=b finite:9;idempotents:1,ba,aaa a/b - - ab:aaaaaa=aaa,baaa=b,ab=aaa,bb=baa [00m00s] from: 1597 ab:aaa=ab,bba=b finite:9;idempotents:1,ba,aaa to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa a=a,b=b [00m00s] # 1598 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:6,work:154,nodes:18,pairs:3,completionMax:16us [00m00s] 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbb [00m00s] # 1599 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:71,nodes:18,pairs:1,completionMax:10us [00m00s] 1599 ab:aaa=ab,bbb=b finite:21;idempotents:1,bb,aaaa,bbaaaa,baaaaaa a/b - - ab:aaaaaaa=aaa,ab=aaa,bbb=b [00m00s] # 1600 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:311,nodes:16,pairs:18,completionMax:58us [00m00s] 1600 ab:aaa=bb,aab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [00m00s] from: 1600 ab:aaa=bb,aab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [00m00s] # 1601 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:2,work:162,nodes:14,pairs:5,completionMax:27us [00m00s] 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [00m00s] # 1602 solved: rounds:2,rules:5,peak:5,longest:8,steps:3,word:3,work:383,nodes:24,pairs:3,completionMax:41us [00m00s] 1602 ab:aaa=bb,aba=a finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aba=a,aaab=aaaaaaa,bb=aaa [00m00s] # 1603 solved: rounds:4,rules:4,peak:4,longest:9,steps:15,word:9,work:431,nodes:30,pairs:9,completionMax:75us [00m00s] 1603 ab:aaa=bb,aba=b finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=baaaaa,bb=aaa [00m00s] # 1604 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:68,nodes:14,pairs:3,completionMax:27us [00m00s] 1604 ab:aaa=bb,abb=a infinite ab - - ab:aaa=bb,abb=a,bba=a,bbbb=bb [00m00s] # 1605 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:70,nodes:16,pairs:2,completionMax:38us [00m00s] 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaa [00m00s] # 1606 solved: rounds:2,rules:3,peak:6,longest:9,steps:8,word:6,work:330,nodes:20,pairs:13,completionMax:62us [00m00s] 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a/b - - ab:aaaa=a,ab=ba,bb=aaa [00m00s] # 1607 solved: rounds:3,rules:5,peak:6,longest:8,steps:2,word:3,work:469,nodes:22,pairs:9,completionMax:61us [00m00s] 1607 ab:aaa=bb,bab=b infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aaab=aaaaaaa,bb=aaa,bab=b [00m00s] # 1608 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:96,nodes:18,pairs:3,completionMax:26us [00m00s] 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbb [00m00s] # 1609 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:1,work:118,nodes:18,pairs:2,completionMax:14us [00m00s] 1609 ab:aaa=bb,bbb=b infinite a/b - - ab:aaaaaa=aaa,baaa=b,aaab=b,bb=aaa [00m00s] # 1610 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:63,nodes:8,pairs:1,completionMax:7us [00m00s] 1610 ab:aab=aa,aba=a infinite ab - - ab:aaa=aa,aab=aa,aba=a [00m00s] # 1611 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:2,work:278,nodes:16,pairs:12,completionMax:36us [00m00s] 1611 ab:aab=aa,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 1611 ab:aab=aa,aba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 1612 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:8,pairs:0,completionMax:1us [00m00s] 1612 ab:aab=aa,abb=a infinite ab - - ab:aab=aa,abb=a [00m00s] # 1613 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:39,nodes:8,pairs:3,completionMax:10us [00m00s] 1613 ab:aab=aa,abb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m00s] from: 1613 ab:aab=aa,abb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m00s] # 1614 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:240,nodes:12,pairs:6,completionMax:22us [00m00s] 1614 ab:aab=aa,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 1614 ab:aab=aa,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 1615 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:102,nodes:12,pairs:3,completionMax:31us [00m00s] 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [00m00s] # 1616 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:23,nodes:10,pairs:1,completionMax:10us [00m00s] 1616 ab:aab=aa,bab=a infinite ab - - ab:aab=aa,baa=aa,bab=a [00m00s] # 1617 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:49,nodes:10,pairs:1,completionMax:6us [00m00s] 1617 ab:aab=aa,bab=b infinite ab - - ab:aaa=aa,aab=aa,bab=b [00m00s] # 1618 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [00m00s] 1618 ab:aab=aa,bba=a infinite ab - - ab:aab=aa,bba=a [00m00s] # 1619 solved: rounds:3,rules:4,peak:6,longest:3,steps:2,word:0,work:213,nodes:12,pairs:7,completionMax:37us [00m00s] 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [00m00s] # 1620 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:4,work:316,nodes:14,pairs:2,completionMax:11us [00m00s] 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: b/a - - ab:bbbbbbb=bbbbbb,a=bbb [00m00s] # 1621 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:2us [00m00s] 1621 ab:aab=aa,bbb=b infinite ab - - ab:aab=aa,bbb=b [00m00s] # 1622 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:33,nodes:8,pairs:1,completionMax:6us [00m00s] 1622 ab:aab=ab,aba=a infinite ab - - ab:aa=a,aba=a [00m00s] from: 1622 ab:aab=ab,aba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 1623 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:39,nodes:12,pairs:4,completionMax:15us [00m00s] 1623 ab:aab=ab,aba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [00m00s] from: 1623 ab:aab=ab,aba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [00m00s] # 1624 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:7us [00m00s] 1624 ab:aab=ab,abb=a infinite ab - - ab:aa=a,abb=a [00m00s] from: 1624 ab:aab=ab,abb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 1625 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:7us [00m00s] 1625 ab:aab=ab,abb=b infinite ab - - ab:ab=b,bb=b [00m00s] from: 1625 ab:aab=ab,abb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [00m00s] # 1626 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:131,nodes:10,pairs:5,completionMax:22us [00m00s] 1626 ab:aab=ab,baa=a infinite ab - - ab:aa=a,ba=a [00m00s] from: 1626 ab:aab=ab,baa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [00m00s] # 1627 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:34,nodes:10,pairs:2,completionMax:4us [00m00s] 1627 ab:aab=ab,baa=b infinite ab - - ab:aab=ab,baa=b,bab=bb [00m00s] # 1628 solved: rounds:3,rules:3,peak:7,longest:3,steps:3,word:0,work:304,nodes:12,pairs:9,completionMax:39us [00m00s] 1628 ab:aab=ab,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 1628 ab:aab=ab,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 1629 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [00m00s] 1629 ab:aab=ab,bab=b infinite ab - - ab:aab=ab,bab=b [00m00s] # 1630 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:52,nodes:10,pairs:1,completionMax:22us [00m00s] 1630 ab:aab=ab,bba=a infinite ab - - ab:aaa=aa,aab=ab,bba=a [00m00s] # 1631 solved: rounds:4,rules:3,peak:5,longest:3,steps:2,word:0,work:165,nodes:12,pairs:7,completionMax:52us [00m00s] 1631 ab:aab=ab,bba=b infinite ab - - ab:ba=b,bb=b,aab=ab [00m00s] # 1632 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:84,nodes:14,pairs:2,completionMax:8us [00m00s] 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbbb=bbbb,a=bbb [00m00s] # 1633 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m00s] 1633 ab:aab=ab,bbb=b infinite ab - - ab:aab=ab,bbb=b [00m00s] # 1634 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:288,nodes:14,pairs:15,completionMax:50us [00m00s] 1634 ab:aab=ba,aba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 1634 ab:aab=ba,aba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 1635 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:1,work:56,nodes:10,pairs:6,completionMax:11us [00m00s] 1635 ab:aab=ba,aba=b infinite a/b - - ab:baaa=b,ab=baa [00m00s] # 1636 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:78,nodes:14,pairs:1,completionMax:12us [00m00s] 1636 ab:aab=ba,abb=a infinite reversed:a/b - - ab:aaaaa=aa,ba=aab,abb=a [00m00s] # 1637 solved: rounds:3,rules:3,peak:5,longest:3,steps:3,word:0,work:191,nodes:12,pairs:11,completionMax:22us [00m00s] 1637 ab:aab=ba,abb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m00s] from: 1637 ab:aab=ba,abb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m00s] # 1638 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:313,nodes:14,pairs:12,completionMax:43us [00m00s] 1638 ab:aab=ba,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 1638 ab:aab=ba,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 1639 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:2,work:38,nodes:12,pairs:0,completionMax:2us [00m00s] 1639 ab:aab=ba,baa=b infinite reversed:a/b - - ab:aaaab=b,ba=aab [00m00s] # 1640 solved: rounds:4,rules:3,peak:6,longest:3,steps:4,word:0,work:269,nodes:14,pairs:15,completionMax:31us [00m00s] 1640 ab:aab=ba,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 1640 ab:aab=ba,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 1641 solved: rounds:3,rules:3,peak:5,longest:3,steps:2,word:0,work:141,nodes:12,pairs:6,completionMax:17us [00m00s] 1641 ab:aab=ba,bab=b infinite ab - - ab:ba=b,bb=b,aab=b [00m00s] # 1642 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:483,nodes:22,pairs:10,completionMax:50us [00m00s] 1642 ab:aab=ba,bba=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [00m00s] # 1643 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:70,nodes:12,pairs:6,completionMax:16us [00m00s] 1643 ab:aab=ba,bba=b infinite ab - - ab:ba=b,bb=b,aab=b [00m00s] from: 1643 ab:aab=ba,bba=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m00s] # 1644 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:86,nodes:14,pairs:2,completionMax:11us [00m00s] 1644 ab:aab=ba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbbb=bbbb,a=bbb [00m00s] from: 1644 ab:aab=ba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [00m00s] # 1645 solved: rounds:1,rules:3,peak:3,longest:9,steps:9,word:6,work:137,nodes:22,pairs:1,completionMax:9us [00m00s] 1645 ab:aab=ba,bbb=b infinite reversed:a/b - - ab:aaaaaaaab=aab,ba=aab,bbb=b [00m00s] # 1646 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:1,work:310,nodes:20,pairs:11,completionMax:43us [00m00s] 1646 ab:aab=bb,aba=a finite:12;idempotents:1,ab,ba,aaa,aaaab a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,bb=aab [00m00s] # 1647 solved: rounds:3,rules:3,peak:6,longest:3,steps:3,word:0,work:237,nodes:14,pairs:14,completionMax:44us [00m00s] 1647 ab:aab=bb,aba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [00m00s] from: 1647 ab:aab=bb,aba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [00m00s] # 1648 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:222,nodes:18,pairs:10,completionMax:39us [00m00s] 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m00s] # 1649 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:20,nodes:10,pairs:3,completionMax:18us [00m00s] 1649 ab:aab=bb,abb=b infinite b/a - - ab:bbbb=b,ab=bbb [00m00s] from: 1649 ab:aab=bb,abb=b infinite to: 1586 ab:aaa=ab,aab=a infinite anti:a=b,b=a [00m00s] # 1650 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:91,nodes:14,pairs:4,completionMax:20us [00m00s] 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,bb=aab [00m00s] # 1651 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:63,nodes:14,pairs:1,completionMax:10us [00m00s] 1651 ab:aab=bb,baa=b infinite a/b - - ab:baa=b,aaaab=aab,bb=aab [00m00s] # 1652 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:2,work:184,nodes:12,pairs:13,completionMax:42us [00m00s] 1652 ab:aab=bb,bab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m00s] from: 1652 ab:aab=bb,bab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m00s] # 1653 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m00s] 1653 ab:aab=bb,bab=b infinite ab - - ab:aab=bb,bab=b [00m00s] # 1654 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:220,nodes:22,pairs:11,completionMax:38us [00m00s] 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a/b - - ab:aaaaa=a,ba=aaa,bb=aab [00m00s] # 1655 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:219,nodes:16,pairs:6,completionMax:35us [00m00s] 1655 ab:aab=bb,bba=b infinite b/a - - ab:bbbb=b,ba=bbb,aab=bb [00m00s] # 1656 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:40,nodes:14,pairs:2,completionMax:6us [00m00s] 1656 ab:aab=bb,bbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m00s] from: 1656 ab:aab=bb,bbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m00s] # 1657 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [00m00s] 1657 ab:aab=bb,bbb=b infinite ab - - ab:aab=bb,bbb=b [00m00s] # 1658 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:3us [00m00s] 1658 ab:aba=aa,abb=a infinite ab - - ab:aba=aa,abb=a [00m00s] # 1659 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:45,nodes:6,pairs:4,completionMax:14us [00m00s] 1659 ab:aba=aa,abb=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [00m00s] from: 1659 ab:aba=aa,abb=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [00m00s] # 1660 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:115,nodes:12,pairs:3,completionMax:20us [00m00s] 1660 ab:aba=aa,baa=a infinite ab - - ab:aa=a,ba=a [00m00s] from: 1660 ab:aba=aa,baa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [00m00s] # 1661 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:1,work:158,nodes:14,pairs:7,completionMax:32us [00m00s] 1661 ab:aba=aa,baa=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,baa=b,ab=aaa,bb=b [00m00s] # 1662 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:46,nodes:12,pairs:3,completionMax:11us [00m00s] 1662 ab:aba=aa,bab=a infinite ab - - ab:aab=aa,aba=aa,baa=aa,bab=a [00m00s] # 1663 solved: rounds:2,rules:5,peak:5,longest:3,steps:2,word:0,work:167,nodes:12,pairs:5,completionMax:22us [00m00s] 1663 ab:aba=aa,bab=b infinite ab - - ab:aaa=aa,aab=ab,aba=aa,baa=ba,bab=b [00m00s] # 1664 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:6,work:344,nodes:14,pairs:2,completionMax:14us [00m00s] 1664 ab:aba=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: b/a - - ab:bbbbbbb=bbbbbb,a=bbb [00m00s] from: 1664 ab:aba=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=bbb,b=b [00m00s] # 1665 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m00s] 1665 ab:aba=aa,bbb=b infinite ab - - ab:aba=aa,bbb=b [00m00s] # 1666 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:35,nodes:6,pairs:1,completionMax:7us [00m00s] 1666 ab:aba=ab,abb=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m00s] from: 1666 ab:aba=ab,abb=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m00s] # 1667 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:59,nodes:8,pairs:3,completionMax:7us [00m00s] 1667 ab:aba=ab,abb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m00s] from: 1667 ab:aba=ab,abb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m00s] # 1668 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:301,nodes:14,pairs:8,completionMax:27us [00m00s] 1668 ab:aba=ab,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 1668 ab:aba=ab,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 1669 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:23,nodes:12,pairs:2,completionMax:9us [00m00s] 1669 ab:aba=ab,baa=b infinite ab - - ab:aba=ab,baa=b,bba=bb [00m00s] # 1670 solved: rounds:1,rules:3,peak:5,longest:3,steps:3,word:0,work:99,nodes:10,pairs:4,completionMax:30us [00m00s] 1670 ab:aba=ab,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 1670 ab:aba=ab,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 1671 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:83,nodes:10,pairs:6,completionMax:22us [00m00s] 1671 ab:aba=ab,bab=b infinite ab - - ab:ba=b,bb=b [00m00s] # 1672 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:1,work:96,nodes:12,pairs:4,completionMax:14us [00m00s] 1672 ab:aba=ab,bba=a infinite b/a - - ab:abbb=ab,bba=a,aa=abb,aba=ab [00m00s] # 1673 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:38,nodes:10,pairs:4,completionMax:11us [00m00s] 1673 ab:aba=ab,bba=b infinite ab - - ab:ba=b,bb=b [00m00s] from: 1673 ab:aba=ab,bba=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [00m00s] # 1674 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:4,work:98,nodes:14,pairs:2,completionMax:10us [00m00s] 1674 ab:aba=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbbb=bbbb,a=bbb [00m00s] from: 1674 ab:aba=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [00m00s] # 1675 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:6us [00m00s] 1675 ab:aba=ab,bbb=b infinite ab - - ab:aba=ab,bbb=b,abba=abb [00m00s] # 1676 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:91,nodes:12,pairs:7,completionMax:29us [00m00s] 1676 ab:aba=ba,baa=a infinite ab - - ab:aa=a,ba=a [00m00s] from: 1676 ab:aba=ba,baa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [00m00s] # 1677 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:26,nodes:10,pairs:2,completionMax:13us [00m00s] 1677 ab:aba=ba,baa=b infinite ab - - ab:ab=b,baa=b [00m00s] # 1678 solved: rounds:4,rules:4,peak:6,longest:5,steps:3,word:2,work:355,nodes:22,pairs:9,completionMax:53us [00m00s] 1678 ab:aba=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m00s] from: 1678 ab:aba=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m00s] # 1679 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:168,nodes:12,pairs:6,completionMax:45us [00m00s] 1679 ab:aba=bb,abb=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 b/a - - ab:bbbb=b,ab=bbb,ba=bbb [00m00s] from: 1679 ab:aba=bb,abb=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=b,b=a [00m00s] # 1680 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:4,work:637,nodes:20,pairs:16,completionMax:74us [00m00s] 1680 ab:aba=bb,baa=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [00m00s] from: 1680 ab:aba=bb,baa=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [00m00s] # 1681 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:3,work:202,nodes:22,pairs:8,completionMax:27us [00m00s] 1681 ab:aba=bb,baa=b infinite reversed:b/a - - ab:bbbbb=bb,ab=bba,baa=b [00m00s] from: 1681 ab:aba=bb,baa=b infinite to: 1636 ab:aab=ba,abb=a infinite a=b,b=a [00m00s] # 1682 solved: rounds:4,rules:4,peak:6,longest:8,steps:11,word:6,work:545,nodes:28,pairs:10,completionMax:78us [00m00s] 1682 ab:aba=bb,bab=a finite:14;idempotents:1,bbbbbb;center:1,bbb,bbbbbb b/a - - ab:bbbbbbbb=bb,abbbbbb=a,ba=abbbbb,aa=bbb [00m00s] # 1683 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:1,work:89,nodes:10,pairs:11,completionMax:50us [00m00s] 1683 ab:aba=bb,bab=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 b/a - - ab:bbbb=b,ab=bbb,ba=bbb [00m00s] from: 1683 ab:aba=bb,bab=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=b,b=a [00m00s] # 1684 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:46,nodes:14,pairs:2,completionMax:16us [00m00s] 1684 ab:aba=bb,bbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m00s] from: 1684 ab:aba=bb,bbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m00s] # 1685 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:69,nodes:10,pairs:2,completionMax:22us [00m00s] 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [00m00s] # 1686 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:4,work:205,nodes:12,pairs:2,completionMax:24us [00m00s] 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: b/a - - ab:bbbbbb=bbbbb,a=bbb [00m00s] # 1687 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:54,nodes:12,pairs:1,completionMax:13us [00m00s] 1687 ab:abb=aa,bbb=b infinite b/a - - ab:bbb=b,aa=abb,abba=abb [00m00s] # 1688 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:2,work:101,nodes:10,pairs:1,completionMax:10us [00m00s] 1688 ab:abb=ab,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbb [00m00s] from: 1688 ab:abb=ab,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbb,b=b [00m00s] # 1689 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:8us [00m00s] 1689 ab:abb=ab,bbb=b infinite ab - - ab:abb=ab,bbb=b [00m00s] # 1690 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:2,work:101,nodes:10,pairs:1,completionMax:11us [00m00s] 1690 ab:abb=ba,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbb [00m00s] from: 1690 ab:abb=ba,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbb,b=b [00m00s] # 1691 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:22,nodes:6,pairs:0,completionMax:5us [00m00s] 1691 ab:abb=ba,bbb=b infinite b/a - - ab:bbb=b,ba=abb [00m00s] # 1692 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:1,completionMax:8us [00m00s] 1692 ab:abb=bb,bbb=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbb=bb,a=bbb [00m00s] from: 1692 ab:abb=bb,bbb=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aaa,b=a [00m00s] # 1693 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:10,pairs:1,completionMax:9us [00m00s] 1693 ab:abb=bb,bbb=b infinite ab - - ab:ab=b,bbb=b [00m00s] # 1694 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:4,work:209,nodes:12,pairs:2,completionMax:8us [00m00s] 1694 ab:bab=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: b/a - - ab:bbbbbb=bbbbb,a=bbb [00m00s] from: 1694 ab:bab=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=bbb,b=b [00m00s] # 1695 solved: rounds:3,rules:5,peak:5,longest:8,steps:18,word:1,work:1600,nodes:28,pairs:5,completionMax:63us [00m00s] 1695 ab:bab=aa,bbb=b finite:27;idempotents:1,bb,abbabbabb;center:1,abab,abbabba,abbabbabb b/a - - ab:bbb=b,aa=bab,baba=abab,ababba=bbabbab,babbabba=abbabbab [00m00s] # 1696 solved: rounds:1,rules:2,peak:2,longest:5,steps:6,word:2,work:140,nodes:10,pairs:1,completionMax:12us [00m00s] 1696 ab:bab=ab,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbb [00m00s] from: 1696 ab:bab=ab,bbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b3;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbb,b=b [00m00s] # 1697 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:83,nodes:18,pairs:5,completionMax:23us [00m00s] 1697 ab:bab=ab,bbb=b infinite cab ab=c frequency:2/1 abc:ac=cc,ab=c,bc=c,cbb=c,bbb=b [00m00s] # 1698 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:27,nodes:10,pairs:1,completionMax:6us [00m00s] 1698 ab:bab=bb,bbb=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbb=bb,a=bbb [00m00s] from: 1698 ab:bab=bb,bbb=a finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aaa,b=a [00m00s] # 1699 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:4us [00m00s] 1699 ab:bab=bb,bbb=b infinite ab - - ab:bab=bb,bbb=b [00m00s] # 1700 solved: rounds:0,rules:1,peak:2,longest:4,steps:3,word:0,work:28,nodes:8,pairs:0,completionMax:5us [00m00s] 1700 ab:aaaa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 1700 ab:aaaa=1,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 1701 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 1701 ab:aaaa=1,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 1701 ab:aaaa=1,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [00m00s] # 1702 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:79,nodes:12,pairs:11,completionMax:24us [00m00s] 1702 ab:aaaa=1,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 1702 ab:aaaa=1,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [00m00s] # 1703 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:132,nodes:16,pairs:10,completionMax:25us [00m00s] 1703 ab:aaaa=1,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1703 ab:aaaa=1,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1704 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:103,nodes:16,pairs:14,completionMax:27us [00m00s] 1704 ab:aaaa=1,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 1704 ab:aaaa=1,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [00m00s] # 1705 solved: rounds:3,rules:2,peak:5,longest:8,steps:7,word:2,work:522,nodes:22,pairs:26,completionMax:79us [00m00s] 1705 ab:aaaa=1,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1705 ab:aaaa=1,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1706 solved: rounds:3,rules:2,peak:5,longest:8,steps:9,word:3,work:920,nodes:24,pairs:22,completionMax:74us [00m00s] 1706 ab:aaaa=1,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1706 ab:aaaa=1,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1707 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:83,nodes:16,pairs:6,completionMax:15us [00m00s] 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [00m00s] # 1708 solved: rounds:2,rules:2,peak:6,longest:8,steps:9,word:3,work:864,nodes:36,pairs:19,completionMax:95us [00m00s] 1708 ab:aaaa=1,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1708 ab:aaaa=1,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1709 solved: rounds:4,rules:2,peak:4,longest:8,steps:11,word:2,work:655,nodes:18,pairs:18,completionMax:67us [00m00s] 1709 ab:aaaa=1,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1709 ab:aaaa=1,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1710 solved: rounds:5,rules:3,peak:9,longest:6,steps:5,word:0,work:1111,nodes:26,pairs:36,completionMax:216us [00m00s] 1710 ab:aaaa=1,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [00m00s] from: 1710 ab:aaaa=1,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [00m00s] # 1711 solved: rounds:3,rules:3,peak:6,longest:5,steps:7,word:0,work:494,nodes:22,pairs:19,completionMax:92us [00m00s] 1711 ab:aaaa=1,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [00m00s] from: 1711 ab:aaaa=1,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [00m00s] # 1712 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:510,nodes:26,pairs:21,completionMax:79us [00m00s] 1712 ab:aaaa=1,abbba=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [00m00s] from: 1712 ab:aaaa=1,abbba=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [00m00s] # 1713 solved: rounds:4,rules:2,peak:4,longest:16,steps:2,word:11,work:177,nodes:32,pairs:15,completionMax:49us [00m00s] 1713 ab:aaaa=1,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [00m00s] from: 1713 ab:aaaa=1,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [00m00s] # 1714 solved: rounds:3,rules:2,peak:8,longest:9,steps:5,word:3,work:1502,nodes:36,pairs:46,completionMax:227us [00m00s] 1714 ab:aaaa=1,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [00m00s] from: 1714 ab:aaaa=1,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [00m00s] # 1715 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:429,nodes:22,pairs:8,completionMax:41us [00m00s] 1715 ab:aaaa=1,baabb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [00m00s] from: 1715 ab:aaaa=1,baabb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [00m00s] # 1716 solved: rounds:3,rules:3,peak:4,longest:5,steps:5,word:0,work:209,nodes:16,pairs:7,completionMax:23us [00m00s] 1716 ab:aaaa=1,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [00m00s] from: 1716 ab:aaaa=1,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [00m00s] # 1717 solved: rounds:6,rules:2,peak:5,longest:16,steps:10,word:11,work:802,nodes:32,pairs:11,completionMax:62us [00m00s] 1717 ab:aaaa=1,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [00m00s] from: 1717 ab:aaaa=1,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [00m00s] # 1718 solved: rounds:6,rules:2,peak:5,longest:16,steps:10,word:11,work:827,nodes:32,pairs:18,completionMax:70us [00m00s] 1718 ab:aaaa=1,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [00m00s] from: 1718 ab:aaaa=1,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [00m00s] # 1719 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:3us [00m00s] 1719 ab:aaaa=1,bbbbb=1 infinite;group:a-aaa,b-bbbb ab - - ab:aaaa=1,bbbbb=1 [00m00s] # 1720 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:10,nodes:10,pairs:3,completionMax:9us [00m00s] 1720 ab:aaab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1720 ab:aaab=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1721 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:8,pairs:3,completionMax:6us [00m00s] 1721 ab:aaab=1,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1721 ab:aaab=1,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1722 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:8,pairs:3,completionMax:5us [00m00s] 1722 ab:aaab=1,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1722 ab:aaab=1,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1723 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:3us [00m00s] 1723 ab:aaab=1,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1723 ab:aaab=1,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1724 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:178,nodes:14,pairs:16,completionMax:32us [00m00s] 1724 ab:aaab=1,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1724 ab:aaab=1,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1725 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:13,nodes:12,pairs:4,completionMax:12us [00m00s] 1725 ab:aaab=1,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1725 ab:aaab=1,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1726 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:106,nodes:14,pairs:13,completionMax:32us [00m00s] 1726 ab:aaab=1,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1726 ab:aaab=1,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1727 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:41,nodes:16,pairs:5,completionMax:19us [00m00s] 1727 ab:aaab=1,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1727 ab:aaab=1,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1728 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:211,nodes:16,pairs:19,completionMax:35us [00m00s] 1728 ab:aaab=1,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1728 ab:aaab=1,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1729 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:84,nodes:14,pairs:12,completionMax:31us [00m00s] 1729 ab:aaab=1,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1729 ab:aaab=1,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1730 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:170,nodes:16,pairs:11,completionMax:25us [00m00s] 1730 ab:aaab=1,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1730 ab:aaab=1,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1731 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:43,nodes:16,pairs:3,completionMax:16us [00m00s] 1731 ab:aaab=1,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1731 ab:aaab=1,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1732 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:240,nodes:18,pairs:22,completionMax:66us [00m00s] 1732 ab:aaab=1,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1732 ab:aaab=1,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1733 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:110,nodes:20,pairs:11,completionMax:33us [00m00s] 1733 ab:aaab=1,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1733 ab:aaab=1,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1734 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:3,work:495,nodes:22,pairs:20,completionMax:92us [00m00s] 1734 ab:aaab=1,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1734 ab:aaab=1,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1735 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:7,work:267,nodes:22,pairs:16,completionMax:65us [00m00s] 1735 ab:aaab=1,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1735 ab:aaab=1,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1736 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:226,nodes:16,pairs:17,completionMax:42us [00m00s] 1736 ab:aaab=1,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1736 ab:aaab=1,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1737 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:4us [00m00s] 1737 ab:aaab=1,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1737 ab:aaab=1,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1738 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:335,nodes:22,pairs:18,completionMax:58us [00m00s] 1738 ab:aaab=1,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1738 ab:aaab=1,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1739 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:150,nodes:22,pairs:10,completionMax:33us [00m00s] 1739 ab:aaab=1,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1739 ab:aaab=1,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1740 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:286,nodes:20,pairs:21,completionMax:59us [00m00s] 1740 ab:aaab=1,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1740 ab:aaab=1,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1741 solved: rounds:3,rules:2,peak:5,longest:7,steps:8,word:3,work:397,nodes:22,pairs:12,completionMax:46us [00m00s] 1741 ab:aaab=1,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1741 ab:aaab=1,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1742 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:3,work:635,nodes:26,pairs:20,completionMax:81us [00m00s] 1742 ab:aaab=1,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1742 ab:aaab=1,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1743 solved: rounds:4,rules:2,peak:6,longest:11,steps:6,word:7,work:305,nodes:22,pairs:15,completionMax:66us [00m00s] 1743 ab:aaab=1,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1743 ab:aaab=1,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1744 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:133,nodes:16,pairs:13,completionMax:30us [00m00s] 1744 ab:aaab=1,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1744 ab:aaab=1,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1745 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:3,work:394,nodes:24,pairs:24,completionMax:87us [00m00s] 1745 ab:aaab=1,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1745 ab:aaab=1,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1746 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:438,nodes:28,pairs:25,completionMax:121us [00m00s] 1746 ab:aaab=1,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1746 ab:aaab=1,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1747 solved: rounds:4,rules:2,peak:8,longest:16,steps:11,word:14,work:1612,nodes:40,pairs:32,completionMax:203us [00m00s] 1747 ab:aaab=1,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1747 ab:aaab=1,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1748 solved: rounds:2,rules:2,peak:5,longest:7,steps:19,word:6,work:959,nodes:20,pairs:21,completionMax:110us [00m00s] 1748 ab:aaab=1,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1748 ab:aaab=1,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1749 solved: rounds:4,rules:2,peak:7,longest:16,steps:11,word:14,work:1315,nodes:40,pairs:22,completionMax:119us [00m00s] 1749 ab:aaab=1,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1749 ab:aaab=1,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1750 solved: rounds:3,rules:2,peak:8,longest:11,steps:3,word:7,work:794,nodes:22,pairs:32,completionMax:144us [00m00s] 1750 ab:aaab=1,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1750 ab:aaab=1,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1751 solved: rounds:5,rules:2,peak:5,longest:15,steps:4,word:11,work:340,nodes:30,pairs:18,completionMax:86us [00m00s] 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [00m00s] # 1752 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:85,nodes:14,pairs:9,completionMax:34us [00m00s] 1752 ab:aaba=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m00s] from: 1752 ab:aaba=1,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m00s] # 1753 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:142,nodes:14,pairs:16,completionMax:40us [00m00s] 1753 ab:aaba=1,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1753 ab:aaba=1,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1754 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:3,completionMax:14us [00m00s] 1754 ab:aaba=1,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1754 ab:aaba=1,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1755 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:108,nodes:14,pairs:10,completionMax:29us [00m00s] 1755 ab:aaba=1,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1755 ab:aaba=1,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1756 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:8,pairs:3,completionMax:7us [00m00s] 1756 ab:aaba=1,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1756 ab:aaba=1,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1757 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:6us [00m00s] 1757 ab:aaba=1,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1757 ab:aaba=1,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1758 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:289,nodes:14,pairs:23,completionMax:57us [00m00s] 1758 ab:aaba=1,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1758 ab:aaba=1,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1759 solved: rounds:3,rules:2,peak:9,longest:11,steps:23,word:9,work:1527,nodes:32,pairs:19,completionMax:101us [00m00s] 1759 ab:aaba=1,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1759 ab:aaba=1,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1760 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:280,nodes:16,pairs:23,completionMax:50us [00m00s] 1760 ab:aaba=1,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1760 ab:aaba=1,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1761 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:86,nodes:18,pairs:15,completionMax:33us [00m00s] 1761 ab:aaba=1,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1761 ab:aaba=1,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1762 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:86,nodes:16,pairs:14,completionMax:40us [00m00s] 1762 ab:aaba=1,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1762 ab:aaba=1,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1763 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:3,work:212,nodes:18,pairs:14,completionMax:40us [00m00s] 1763 ab:aaba=1,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1763 ab:aaba=1,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1764 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:343,nodes:18,pairs:20,completionMax:53us [00m00s] 1764 ab:aaba=1,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1764 ab:aaba=1,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1765 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:3,work:535,nodes:20,pairs:29,completionMax:74us [00m00s] 1765 ab:aaba=1,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1765 ab:aaba=1,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1766 solved: rounds:3,rules:2,peak:10,longest:11,steps:23,word:9,work:2846,nodes:38,pairs:36,completionMax:145us [00m00s] 1766 ab:aaba=1,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1766 ab:aaba=1,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1767 solved: rounds:5,rules:2,peak:10,longest:11,steps:21,word:7,work:2095,nodes:32,pairs:45,completionMax:176us [00m00s] 1767 ab:aaba=1,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1767 ab:aaba=1,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1768 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:438,nodes:18,pairs:29,completionMax:50us [00m00s] 1768 ab:aaba=1,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1768 ab:aaba=1,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1769 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:73,nodes:16,pairs:12,completionMax:32us [00m00s] 1769 ab:aaba=1,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1769 ab:aaba=1,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1770 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:6us [00m00s] 1770 ab:aaba=1,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1770 ab:aaba=1,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1771 solved: rounds:3,rules:2,peak:7,longest:7,steps:8,word:6,work:617,nodes:22,pairs:19,completionMax:105us [00m00s] 1771 ab:aaba=1,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1771 ab:aaba=1,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1772 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:234,nodes:18,pairs:22,completionMax:37us [00m00s] 1772 ab:aaba=1,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1772 ab:aaba=1,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1773 solved: rounds:2,rules:2,peak:4,longest:7,steps:7,word:6,work:216,nodes:18,pairs:10,completionMax:24us [00m00s] 1773 ab:aaba=1,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1773 ab:aaba=1,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1774 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:6,work:286,nodes:20,pairs:18,completionMax:34us [00m00s] 1774 ab:aaba=1,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1774 ab:aaba=1,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1775 solved: rounds:4,rules:2,peak:8,longest:11,steps:6,word:7,work:988,nodes:22,pairs:27,completionMax:71us [00m00s] 1775 ab:aaba=1,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1775 ab:aaba=1,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1776 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:188,nodes:20,pairs:15,completionMax:25us [00m00s] 1776 ab:aaba=1,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 1776 ab:aaba=1,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 1777 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:6,work:383,nodes:20,pairs:17,completionMax:34us [00m00s] 1777 ab:aaba=1,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1777 ab:aaba=1,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1778 solved: rounds:3,rules:2,peak:9,longest:11,steps:19,word:9,work:1253,nodes:34,pairs:23,completionMax:70us [00m00s] 1778 ab:aaba=1,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1778 ab:aaba=1,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1779 solved: rounds:6,rules:2,peak:8,longest:11,steps:6,word:7,work:1507,nodes:24,pairs:40,completionMax:85us [00m00s] 1779 ab:aaba=1,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1779 ab:aaba=1,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1780 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:3,work:378,nodes:18,pairs:27,completionMax:64us [00m00s] 1780 ab:aaba=1,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [00m00s] from: 1780 ab:aaba=1,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [00m00s] # 1781 solved: rounds:6,rules:2,peak:5,longest:11,steps:8,word:7,work:574,nodes:22,pairs:17,completionMax:44us [00m00s] 1781 ab:aaba=1,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1781 ab:aaba=1,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1782 solved: rounds:4,rules:2,peak:6,longest:11,steps:7,word:7,work:938,nodes:24,pairs:34,completionMax:102us [00m00s] 1782 ab:aaba=1,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 1782 ab:aaba=1,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [00m00s] # 1783 solved: rounds:7,rules:2,peak:8,longest:15,steps:8,word:11,work:1347,nodes:34,pairs:23,completionMax:90us [00m00s] 1783 ab:aaba=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [00m00s] from: 1783 ab:aaba=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [00m00s] # 1784 solved: rounds:3,rules:2,peak:5,longest:15,steps:9,word:9,work:717,nodes:36,pairs:16,completionMax:85us [00m00s] 1784 ab:aabb=1,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m00s] from: 1784 ab:aabb=1,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m00s] # 1785 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:14,nodes:12,pairs:3,completionMax:11us [00m00s] 1785 ab:aabb=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1785 ab:aabb=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1786 solved: rounds:4,rules:2,peak:7,longest:10,steps:4,word:2,work:1197,nodes:28,pairs:26,completionMax:138us [00m00s] 1786 ab:aabb=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1786 ab:aabb=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1787 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:6us [00m00s] 1787 ab:aabb=1,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1787 ab:aabb=1,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1788 solved: rounds:3,rules:2,peak:6,longest:8,steps:7,word:2,work:623,nodes:28,pairs:18,completionMax:44us [00m00s] 1788 ab:aabb=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1788 ab:aabb=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1789 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [00m00s] 1789 ab:aabb=1,aabab=1 infinite ab - - ab:aabb=1,aabab=1 [00m00s] # 1790 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:7us [00m00s] 1790 ab:aabb=1,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1790 ab:aabb=1,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1791 solved: rounds:3,rules:2,peak:6,longest:9,steps:5,word:2,work:769,nodes:32,pairs:22,completionMax:54us [00m00s] 1791 ab:aabb=1,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1791 ab:aabb=1,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1792 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:62,nodes:16,pairs:10,completionMax:16us [00m00s] 1792 ab:aabb=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1792 ab:aabb=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1793 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:87,nodes:16,pairs:16,completionMax:15us [00m00s] 1793 ab:aabb=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1793 ab:aabb=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1794 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:180,nodes:18,pairs:17,completionMax:37us [00m00s] 1794 ab:aabb=1,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1794 ab:aabb=1,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1795 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:102,nodes:16,pairs:15,completionMax:25us [00m00s] 1795 ab:aabb=1,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1795 ab:aabb=1,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1796 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:1,work:291,nodes:24,pairs:14,completionMax:41us [00m00s] 1796 ab:aabb=1,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1796 ab:aabb=1,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1797 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:368,nodes:20,pairs:21,completionMax:44us [00m00s] 1797 ab:aabb=1,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1797 ab:aabb=1,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1798 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:401,nodes:22,pairs:25,completionMax:46us [00m00s] 1798 ab:aabb=1,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1798 ab:aabb=1,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1799 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:325,nodes:20,pairs:24,completionMax:39us [00m00s] 1799 ab:aabb=1,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1799 ab:aabb=1,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1800 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:18,pairs:1,completionMax:8us [00m00s] 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a/b - - ab:aaaaa=1,bab=aaaa [00m00s] # 1801 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:19,nodes:14,pairs:4,completionMax:13us [00m00s] 1801 ab:abab=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1801 ab:abab=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1802 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:35,nodes:14,pairs:6,completionMax:13us [00m00s] 1802 ab:abab=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1802 ab:abab=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1803 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [00m00s] 1803 ab:abab=1,aaabb=1 infinite ab - - ab:abab=1,aaabb=1 [00m00s] # 1804 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:2,work:612,nodes:20,pairs:21,completionMax:50us [00m00s] 1804 ab:abab=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1804 ab:abab=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1805 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:2,completionMax:5us [00m00s] 1805 ab:abab=1,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1805 ab:abab=1,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1806 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:2,work:425,nodes:24,pairs:32,completionMax:73us [00m00s] 1806 ab:abab=1,aabba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m00s] from: 1806 ab:abab=1,aabba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m00s] # 1807 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:125,nodes:18,pairs:11,completionMax:29us [00m00s] 1807 ab:abab=1,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1807 ab:abab=1,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1808 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:108,nodes:12,pairs:13,completionMax:24us [00m00s] 1808 ab:abab=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1808 ab:abab=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1809 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:2,completionMax:5us [00m00s] 1809 ab:abab=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1809 ab:abab=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1810 solved: rounds:3,rules:3,peak:5,longest:7,steps:10,word:6,work:580,nodes:24,pairs:17,completionMax:47us [00m00s] 1810 ab:abab=1,abbaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m00s] from: 1810 ab:abab=1,abbaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m00s] # 1811 solved: rounds:3,rules:3,peak:7,longest:6,steps:5,word:2,work:569,nodes:24,pairs:21,completionMax:58us [00m00s] 1811 ab:abab=1,abbba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [00m00s] from: 1811 ab:abab=1,abbba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [00m00s] # 1812 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:168,nodes:22,pairs:12,completionMax:32us [00m00s] 1812 ab:abab=1,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1812 ab:abab=1,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1813 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:91,nodes:16,pairs:14,completionMax:25us [00m00s] 1813 ab:abab=1,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1813 ab:abab=1,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1814 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:131,nodes:16,pairs:13,completionMax:26us [00m00s] 1814 ab:abab=1,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1814 ab:abab=1,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1815 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:3,work:398,nodes:22,pairs:11,completionMax:53us [00m00s] 1815 ab:abab=1,bbaaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m00s] from: 1815 ab:abab=1,bbaaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m00s] # 1816 solved: rounds:4,rules:2,peak:4,longest:10,steps:13,word:6,work:707,nodes:22,pairs:18,completionMax:55us [00m00s] 1816 ab:abba=1,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m00s] from: 1816 ab:abba=1,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m00s] # 1817 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:187,nodes:16,pairs:15,completionMax:36us [00m00s] 1817 ab:abba=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1817 ab:abba=1,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1818 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:2,work:905,nodes:26,pairs:48,completionMax:129us [00m00s] 1818 ab:abba=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1818 ab:abba=1,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1819 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:97,nodes:18,pairs:13,completionMax:23us [00m00s] 1819 ab:abba=1,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1819 ab:abba=1,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1820 solved: rounds:3,rules:2,peak:8,longest:10,steps:6,word:2,work:1392,nodes:34,pairs:27,completionMax:116us [00m00s] 1820 ab:abba=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 1820 ab:abba=1,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [00m00s] # 1821 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:292,nodes:20,pairs:18,completionMax:48us [00m00s] 1821 ab:abba=1,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1821 ab:abba=1,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1822 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:6us [00m00s] 1822 ab:abba=1,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1822 ab:abba=1,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1823 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:168,nodes:18,pairs:11,completionMax:33us [00m00s] 1823 ab:abba=1,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1823 ab:abba=1,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1824 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:289,nodes:18,pairs:19,completionMax:40us [00m00s] 1824 ab:abba=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1824 ab:abba=1,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1825 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:146,nodes:18,pairs:22,completionMax:33us [00m00s] 1825 ab:abba=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1825 ab:abba=1,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1826 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:128,nodes:16,pairs:17,completionMax:27us [00m00s] 1826 ab:abba=1,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1826 ab:abba=1,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1827 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:2,completionMax:4us [00m00s] 1827 ab:abba=1,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1827 ab:abba=1,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1828 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:286,nodes:18,pairs:18,completionMax:38us [00m00s] 1828 ab:abba=1,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1828 ab:abba=1,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1829 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:117,nodes:16,pairs:10,completionMax:25us [00m00s] 1829 ab:abba=1,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1829 ab:abba=1,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1830 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:342,nodes:20,pairs:22,completionMax:44us [00m00s] 1830 ab:abba=1,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 1830 ab:abba=1,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 1831 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:118,nodes:16,pairs:16,completionMax:27us [00m00s] 1831 ab:abba=1,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1831 ab:abba=1,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1832 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:241,nodes:16,pairs:18,completionMax:33us [00m00s] 1832 ab:abba=1,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1832 ab:abba=1,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1833 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:102,nodes:18,pairs:12,completionMax:27us [00m00s] 1833 ab:abba=1,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1833 ab:abba=1,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1834 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:32,nodes:16,pairs:8,completionMax:21us [00m00s] 1834 ab:abba=1,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 1834 ab:abba=1,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 1835 solved: rounds:5,rules:2,peak:4,longest:10,steps:6,word:6,work:430,nodes:20,pairs:18,completionMax:58us [00m00s] 1835 ab:abba=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [00m00s] from: 1835 ab:abba=1,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [00m00s] # 1836 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:0,work:25,nodes:6,pairs:0,completionMax:4us [00m00s] 1836 ab:aaa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 1836 ab:aaa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 1837 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:6,pairs:4,completionMax:12us [00m00s] 1837 ab:aaa=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1837 ab:aaa=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1838 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:53,nodes:10,pairs:8,completionMax:17us [00m00s] 1838 ab:aaa=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1838 ab:aaa=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1839 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:32,nodes:8,pairs:5,completionMax:14us [00m00s] 1839 ab:aaa=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1839 ab:aaa=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1840 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:80,nodes:12,pairs:9,completionMax:20us [00m00s] 1840 ab:aaa=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1840 ab:aaa=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1841 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:93,nodes:14,pairs:11,completionMax:30us [00m00s] 1841 ab:aaa=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1841 ab:aaa=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1842 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:246,nodes:14,pairs:20,completionMax:42us [00m00s] 1842 ab:aaa=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1842 ab:aaa=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1843 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:36,nodes:14,pairs:4,completionMax:13us [00m00s] 1843 ab:aaa=a,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1843 ab:aaa=a,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1844 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:94,nodes:12,pairs:10,completionMax:28us [00m00s] 1844 ab:aaa=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1844 ab:aaa=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1845 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:1,work:145,nodes:14,pairs:9,completionMax:28us [00m00s] 1845 ab:aaa=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1845 ab:aaa=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1846 solved: rounds:5,rules:3,peak:6,longest:5,steps:4,word:0,work:287,nodes:18,pairs:11,completionMax:51us [00m00s] 1846 ab:aaa=a,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1846 ab:aaa=a,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1847 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:115,nodes:16,pairs:8,completionMax:26us [00m00s] 1847 ab:aaa=a,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1847 ab:aaa=a,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1848 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:78,nodes:18,pairs:8,completionMax:22us [00m00s] 1848 ab:aaa=a,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1848 ab:aaa=a,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1849 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:3,work:41,nodes:16,pairs:5,completionMax:17us [00m00s] 1849 ab:aaa=a,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1849 ab:aaa=a,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1850 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:75,nodes:10,pairs:8,completionMax:21us [00m00s] 1850 ab:aaa=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1850 ab:aaa=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1851 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:290,nodes:20,pairs:15,completionMax:50us [00m00s] 1851 ab:aaa=a,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1851 ab:aaa=a,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1852 solved: rounds:2,rules:3,peak:5,longest:5,steps:6,word:0,work:154,nodes:14,pairs:5,completionMax:22us [00m00s] 1852 ab:aaa=a,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1852 ab:aaa=a,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1853 solved: rounds:5,rules:2,peak:5,longest:8,steps:4,word:3,work:395,nodes:18,pairs:10,completionMax:53us [00m00s] 1853 ab:aaa=a,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1853 ab:aaa=a,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1854 solved: rounds:5,rules:2,peak:5,longest:8,steps:3,word:3,work:414,nodes:20,pairs:17,completionMax:54us [00m00s] 1854 ab:aaa=a,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1854 ab:aaa=a,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1855 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:14,pairs:0,completionMax:5us [00m00s] 1855 ab:aaa=a,bbbbb=1 infinite ab - - ab:aaa=a,bbbbb=1 [00m00s] # 1856 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:4us [00m00s] 1856 ab:aaa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 1856 ab:aaa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 1857 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:5,nodes:14,pairs:0,completionMax:5us [00m00s] 1857 ab:aaa=b,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m00s] from: 1857 ab:aaa=b,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 1858 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:4,nodes:14,pairs:0,completionMax:4us [00m00s] 1858 ab:aaa=b,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m00s] from: 1858 ab:aaa=b,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 1859 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:11,nodes:18,pairs:0,completionMax:6us [00m00s] 1859 ab:aaa=b,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1859 ab:aaa=b,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1860 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:3,nodes:14,pairs:0,completionMax:5us [00m00s] 1860 ab:aaa=b,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m00s] from: 1860 ab:aaa=b,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 1861 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:10,nodes:18,pairs:0,completionMax:5us [00m00s] 1861 ab:aaa=b,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1861 ab:aaa=b,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1862 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:9,nodes:18,pairs:0,completionMax:7us [00m00s] 1862 ab:aaa=b,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1862 ab:aaa=b,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1863 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:18,nodes:22,pairs:0,completionMax:6us [00m00s] 1863 ab:aaa=b,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1863 ab:aaa=b,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1864 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:9,nodes:18,pairs:0,completionMax:6us [00m00s] 1864 ab:aaa=b,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1864 ab:aaa=b,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1865 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:8,nodes:18,pairs:0,completionMax:4us [00m00s] 1865 ab:aaa=b,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1865 ab:aaa=b,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1866 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:17,nodes:22,pairs:0,completionMax:8us [00m00s] 1866 ab:aaa=b,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1866 ab:aaa=b,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1867 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:16,nodes:22,pairs:0,completionMax:6us [00m00s] 1867 ab:aaa=b,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1867 ab:aaa=b,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1868 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:15,nodes:22,pairs:0,completionMax:5us [00m00s] 1868 ab:aaa=b,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1868 ab:aaa=b,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1869 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:26,nodes:26,pairs:0,completionMax:9us [00m00s] 1869 ab:aaa=b,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [00m00s] from: 1869 ab:aaa=b,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [00m00s] # 1870 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:8,nodes:18,pairs:0,completionMax:5us [00m00s] 1870 ab:aaa=b,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [00m00s] from: 1870 ab:aaa=b,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [00m00s] # 1871 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:16,nodes:22,pairs:0,completionMax:13us [00m00s] 1871 ab:aaa=b,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1871 ab:aaa=b,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1872 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:15,nodes:22,pairs:0,completionMax:6us [00m00s] 1872 ab:aaa=b,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [00m00s] from: 1872 ab:aaa=b,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 1873 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:25,nodes:26,pairs:0,completionMax:7us [00m00s] 1873 ab:aaa=b,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [00m00s] from: 1873 ab:aaa=b,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [00m00s] # 1874 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:24,nodes:26,pairs:0,completionMax:9us [00m00s] 1874 ab:aaa=b,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [00m00s] from: 1874 ab:aaa=b,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [00m00s] # 1875 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:35,nodes:30,pairs:0,completionMax:10us [00m00s] 1875 ab:aaa=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [00m00s] from: 1875 ab:aaa=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [00m00s] # 1876 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:17,nodes:10,pairs:2,completionMax:12us [00m00s] 1876 ab:aab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 1876 ab:aab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 1877 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:16,nodes:6,pairs:2,completionMax:5us [00m00s] 1877 ab:aab=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1877 ab:aab=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1878 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:15,nodes:6,pairs:2,completionMax:6us [00m00s] 1878 ab:aab=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1878 ab:aab=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1879 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:3us [00m00s] 1879 ab:aab=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1879 ab:aab=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1880 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:14,nodes:6,pairs:2,completionMax:4us [00m00s] 1880 ab:aab=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1880 ab:aab=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1881 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:4us [00m00s] 1881 ab:aab=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1881 ab:aab=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1882 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:53,nodes:10,pairs:11,completionMax:14us [00m00s] 1882 ab:aab=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1882 ab:aab=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1883 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:4,completionMax:6us [00m00s] 1883 ab:aab=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1883 ab:aab=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1884 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:76,nodes:14,pairs:9,completionMax:25us [00m00s] 1884 ab:aab=a,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1884 ab:aab=a,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1885 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:10,pairs:11,completionMax:27us [00m00s] 1885 ab:aab=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1885 ab:aab=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1886 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:81,nodes:14,pairs:14,completionMax:33us [00m00s] 1886 ab:aab=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1886 ab:aab=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1887 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:18,nodes:12,pairs:5,completionMax:9us [00m00s] 1887 ab:aab=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1887 ab:aab=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1888 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:132,nodes:14,pairs:16,completionMax:33us [00m00s] 1888 ab:aab=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1888 ab:aab=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1889 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:71,nodes:16,pairs:12,completionMax:30us [00m00s] 1889 ab:aab=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1889 ab:aab=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1890 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:89,nodes:14,pairs:16,completionMax:32us [00m00s] 1890 ab:aab=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1890 ab:aab=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1891 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:27,nodes:12,pairs:6,completionMax:18us [00m00s] 1891 ab:aab=a,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1891 ab:aab=a,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1892 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:181,nodes:18,pairs:15,completionMax:52us [00m00s] 1892 ab:aab=a,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1892 ab:aab=a,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1893 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:111,nodes:10,pairs:14,completionMax:24us [00m00s] 1893 ab:aab=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1893 ab:aab=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1894 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:110,nodes:10,pairs:14,completionMax:25us [00m00s] 1894 ab:aab=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1894 ab:aab=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1895 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:80,nodes:10,pairs:8,completionMax:17us [00m00s] 1895 ab:aab=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1895 ab:aab=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1896 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:150,nodes:14,pairs:17,completionMax:26us [00m00s] 1896 ab:aab=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1896 ab:aab=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1897 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:144,nodes:14,pairs:15,completionMax:22us [00m00s] 1897 ab:aab=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1897 ab:aab=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1898 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:95,nodes:16,pairs:15,completionMax:29us [00m00s] 1898 ab:aab=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1898 ab:aab=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1899 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:104,nodes:16,pairs:13,completionMax:33us [00m00s] 1899 ab:aab=a,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1899 ab:aab=a,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1900 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:166,nodes:14,pairs:17,completionMax:32us [00m00s] 1900 ab:aab=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1900 ab:aab=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1901 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:47,nodes:10,pairs:8,completionMax:13us [00m00s] 1901 ab:aab=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1901 ab:aab=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1902 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:52,nodes:14,pairs:9,completionMax:15us [00m00s] 1902 ab:aab=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1902 ab:aab=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1903 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:1,work:768,nodes:22,pairs:37,completionMax:139us [00m00s] 1903 ab:aab=a,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1903 ab:aab=a,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1904 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:133,nodes:16,pairs:14,completionMax:40us [00m00s] 1904 ab:aab=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1904 ab:aab=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1905 solved: rounds:3,rules:2,peak:7,longest:5,steps:9,word:2,work:345,nodes:22,pairs:29,completionMax:66us [00m00s] 1905 ab:aab=a,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1905 ab:aab=a,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1906 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:68,nodes:14,pairs:13,completionMax:32us [00m00s] 1906 ab:aab=a,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1906 ab:aab=a,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1907 solved: rounds:5,rules:3,peak:4,longest:6,steps:4,word:3,work:110,nodes:20,pairs:5,completionMax:42us [00m00s] 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a/b - - ab:aaaaaa=a,ab=aaaaa,bbbbb=1 [00m00s] # 1908 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:24,nodes:10,pairs:2,completionMax:9us [00m00s] 1908 ab:aab=b,aaaaa=1 infinite ab - - ab:ab=b,aaaaa=1 [00m00s] # 1909 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [00m00s] 1909 ab:aab=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1909 ab:aab=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1910 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:10,pairs:10,completionMax:16us [00m00s] 1910 ab:aab=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1910 ab:aab=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1911 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:16,nodes:8,pairs:4,completionMax:12us [00m00s] 1911 ab:aab=b,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1911 ab:aab=b,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1912 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:58,nodes:10,pairs:7,completionMax:32us [00m00s] 1912 ab:aab=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1912 ab:aab=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1913 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:17us [00m00s] 1913 ab:aab=b,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1913 ab:aab=b,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1914 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:79,nodes:12,pairs:10,completionMax:31us [00m00s] 1914 ab:aab=b,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1914 ab:aab=b,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1915 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:9us [00m00s] 1915 ab:aab=b,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1915 ab:aab=b,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1916 solved: rounds:2,rules:2,peak:9,longest:5,steps:2,word:0,work:297,nodes:18,pairs:23,completionMax:65us [00m00s] 1916 ab:aab=b,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1916 ab:aab=b,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1917 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:17,nodes:8,pairs:4,completionMax:9us [00m00s] 1917 ab:aab=b,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1917 ab:aab=b,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1918 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:2,work:279,nodes:14,pairs:18,completionMax:40us [00m00s] 1918 ab:aab=b,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1918 ab:aab=b,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1919 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:295,nodes:18,pairs:13,completionMax:49us [00m00s] 1919 ab:aab=b,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1919 ab:aab=b,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1920 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:470,nodes:20,pairs:28,completionMax:97us [00m00s] 1920 ab:aab=b,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1920 ab:aab=b,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1921 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:172,nodes:16,pairs:7,completionMax:27us [00m00s] 1921 ab:aab=b,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1921 ab:aab=b,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1922 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:65,nodes:18,pairs:10,completionMax:33us [00m00s] 1922 ab:aab=b,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1922 ab:aab=b,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1923 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:22,nodes:16,pairs:4,completionMax:11us [00m00s] 1923 ab:aab=b,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1923 ab:aab=b,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1924 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:86,nodes:14,pairs:9,completionMax:20us [00m00s] 1924 ab:aab=b,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1924 ab:aab=b,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1925 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:45,nodes:10,pairs:4,completionMax:16us [00m00s] 1925 ab:aab=b,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1925 ab:aab=b,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1926 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:80,nodes:12,pairs:10,completionMax:33us [00m00s] 1926 ab:aab=b,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1926 ab:aab=b,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1927 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:6us [00m00s] 1927 ab:aab=b,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1927 ab:aab=b,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1928 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:1,work:204,nodes:14,pairs:16,completionMax:37us [00m00s] 1928 ab:aab=b,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1928 ab:aab=b,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1929 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:83,nodes:14,pairs:6,completionMax:18us [00m00s] 1929 ab:aab=b,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1929 ab:aab=b,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1930 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:379,nodes:18,pairs:19,completionMax:58us [00m00s] 1930 ab:aab=b,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1930 ab:aab=b,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1931 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:346,nodes:24,pairs:11,completionMax:39us [00m00s] 1931 ab:aab=b,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1931 ab:aab=b,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1932 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:134,nodes:18,pairs:9,completionMax:30us [00m00s] 1932 ab:aab=b,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1932 ab:aab=b,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1933 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:4us [00m00s] 1933 ab:aab=b,bbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1933 ab:aab=b,bbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1934 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:678,nodes:24,pairs:32,completionMax:71us [00m00s] 1934 ab:aab=b,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1934 ab:aab=b,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1935 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:283,nodes:22,pairs:10,completionMax:38us [00m00s] 1935 ab:aab=b,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1935 ab:aab=b,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1936 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:105,nodes:14,pairs:7,completionMax:26us [00m00s] 1936 ab:aab=b,bbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 1936 ab:aab=b,bbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 1937 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:298,nodes:18,pairs:17,completionMax:43us [00m00s] 1937 ab:aab=b,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1937 ab:aab=b,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1938 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:137,nodes:20,pairs:10,completionMax:37us [00m00s] 1938 ab:aab=b,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1938 ab:aab=b,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1939 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:14,pairs:1,completionMax:9us [00m00s] 1939 ab:aab=b,bbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 1939 ab:aab=b,bbbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 1940 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:3,work:35,nodes:14,pairs:4,completionMax:18us [00m00s] 1940 ab:aba=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 1940 ab:aba=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 1941 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:73,nodes:12,pairs:6,completionMax:24us [00m00s] 1941 ab:aba=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1941 ab:aba=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1942 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:1,work:32,nodes:10,pairs:4,completionMax:13us [00m00s] 1942 ab:aba=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1942 ab:aba=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1943 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:12,pairs:3,completionMax:7us [00m00s] 1943 ab:aba=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1943 ab:aba=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1944 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:1,work:31,nodes:10,pairs:4,completionMax:8us [00m00s] 1944 ab:aba=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1944 ab:aba=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1945 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:6,completionMax:8us [00m00s] 1945 ab:aba=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1945 ab:aba=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1946 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:14,pairs:7,completionMax:18us [00m00s] 1946 ab:aba=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1946 ab:aba=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1947 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:12,pairs:3,completionMax:7us [00m00s] 1947 ab:aba=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1947 ab:aba=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1948 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:41,nodes:8,pairs:6,completionMax:11us [00m00s] 1948 ab:aba=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1948 ab:aba=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1949 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:2,completionMax:4us [00m00s] 1949 ab:aba=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1949 ab:aba=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1950 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:6,pairs:3,completionMax:5us [00m00s] 1950 ab:aba=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1950 ab:aba=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1951 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:67,nodes:12,pairs:11,completionMax:13us [00m00s] 1951 ab:aba=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1951 ab:aba=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1952 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:49,nodes:12,pairs:9,completionMax:12us [00m00s] 1952 ab:aba=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1952 ab:aba=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1953 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:40,nodes:10,pairs:7,completionMax:14us [00m00s] 1953 ab:aba=a,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1953 ab:aba=a,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1954 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:181,nodes:18,pairs:21,completionMax:29us [00m00s] 1954 ab:aba=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1954 ab:aba=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1955 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:170,nodes:18,pairs:12,completionMax:44us [00m00s] 1955 ab:aba=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1955 ab:aba=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1956 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:57,nodes:10,pairs:13,completionMax:18us [00m00s] 1956 ab:aba=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 1956 ab:aba=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 1957 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:185,nodes:16,pairs:11,completionMax:42us [00m00s] 1957 ab:aba=a,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1957 ab:aba=a,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1958 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:1,work:547,nodes:18,pairs:31,completionMax:76us [00m00s] 1958 ab:aba=a,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 1958 ab:aba=a,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 1959 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:14,pairs:0,completionMax:3us [00m00s] 1959 ab:aba=a,bbbbb=1 infinite ab - - ab:aba=a,bbbbb=1 [00m00s] # 1960 solved: rounds:1,rules:2,peak:3,longest:5,steps:9,word:9,work:183,nodes:12,pairs:3,completionMax:15us [00m00s] 1960 ab:aba=b,aaaaa=1 infinite a/b - - ab:aaaaa=1,ab=baaaa [00m00s] # 1961 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:159,nodes:16,pairs:12,completionMax:25us [00m00s] 1961 ab:aba=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1961 ab:aba=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1962 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:52,nodes:10,pairs:10,completionMax:20us [00m00s] 1962 ab:aba=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1962 ab:aba=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1963 solved: rounds:4,rules:3,peak:10,longest:6,steps:6,word:8,work:1514,nodes:28,pairs:34,completionMax:136us [00m00s] 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [00m00s] # 1964 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:5us [00m00s] 1964 ab:aba=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 1964 ab:aba=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 1965 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:44,nodes:10,pairs:8,completionMax:18us [00m00s] 1965 ab:aba=b,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1965 ab:aba=b,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1966 solved: rounds:4,rules:3,peak:11,longest:11,steps:18,word:9,work:3195,nodes:42,pairs:30,completionMax:176us [00m00s] 1966 ab:aba=b,aabba=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [00m00s] from: 1966 ab:aba=b,aabba=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [00m00s] # 1967 solved: rounds:3,rules:3,peak:9,longest:5,steps:3,word:0,work:543,nodes:26,pairs:17,completionMax:82us [00m00s] 1967 ab:aba=b,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1967 ab:aba=b,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1968 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:24,nodes:10,pairs:7,completionMax:21us [00m00s] 1968 ab:aba=b,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1968 ab:aba=b,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1969 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:36,nodes:12,pairs:7,completionMax:33us [00m00s] 1969 ab:aba=b,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 1969 ab:aba=b,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 1970 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:59,nodes:10,pairs:4,completionMax:24us [00m00s] 1970 ab:aba=b,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1970 ab:aba=b,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1971 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:252,nodes:16,pairs:22,completionMax:68us [00m00s] 1971 ab:aba=b,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1971 ab:aba=b,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1972 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:308,nodes:18,pairs:21,completionMax:76us [00m00s] 1972 ab:aba=b,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1972 ab:aba=b,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1973 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:109,nodes:18,pairs:9,completionMax:41us [00m00s] 1973 ab:aba=b,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1973 ab:aba=b,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1974 solved: rounds:4,rules:3,peak:9,longest:7,steps:10,word:7,work:1160,nodes:30,pairs:40,completionMax:158us [00m00s] 1974 ab:aba=b,baaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [00m00s] from: 1974 ab:aba=b,baaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [00m00s] # 1975 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:423,nodes:18,pairs:21,completionMax:67us [00m00s] 1975 ab:aba=b,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1975 ab:aba=b,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1976 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:60,nodes:10,pairs:4,completionMax:19us [00m00s] 1976 ab:aba=b,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 1976 ab:aba=b,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 1977 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:30,nodes:16,pairs:6,completionMax:27us [00m00s] 1977 ab:aba=b,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1977 ab:aba=b,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1978 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:6,work:498,nodes:24,pairs:13,completionMax:49us [00m00s] 1978 ab:aba=b,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 1978 ab:aba=b,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 1979 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:0,work:97,nodes:14,pairs:6,completionMax:31us [00m00s] 1979 ab:aba=b,bbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 1979 ab:aba=b,bbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 1980 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:35,nodes:6,pairs:0,completionMax:4us [00m00s] 1980 ab:aaa=a,aaaa=a infinite ab - - ab:aa=a [00m00s] from: 1980 ab:aaa=a,aaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 1981 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:3us [00m00s] 1981 ab:aaa=a,aaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 1981 ab:aaa=a,aaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 1982 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:7us [00m00s] 1982 ab:aaa=a,aaab=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 1982 ab:aaa=a,aaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 1983 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:6,pairs:0,completionMax:5us [00m00s] 1983 ab:aaa=a,aaab=b infinite ab - - ab:ab=b,aaa=a [00m00s] # 1984 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:69,nodes:10,pairs:1,completionMax:7us [00m00s] 1984 ab:aaa=a,aaba=a infinite ab - - ab:aaa=a,aba=aa [00m00s] # 1985 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:180,nodes:14,pairs:14,completionMax:26us [00m00s] 1985 ab:aaa=a,aaba=b infinite ab - - ab:ba=b,aaa=a,aab=b [00m00s] # 1986 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:14us [00m00s] 1986 ab:aaa=a,aabb=a infinite ab - - ab:aaa=a,abb=aa [00m00s] # 1987 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:0,work:45,nodes:10,pairs:4,completionMax:8us [00m00s] 1987 ab:aaa=a,aabb=b infinite ab - - ab:bb=b,aaa=a,aab=b [00m00s] # 1988 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:10,pairs:5,completionMax:18us [00m00s] 1988 ab:aaa=a,abab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [00m00s] # 1989 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:100,nodes:14,pairs:6,completionMax:38us [00m00s] 1989 ab:aaa=a,abab=b finite:9;idempotents:1,b,aa,aba,baa ab - - ab:bb=b,aaa=a,aab=b,bab=ab [00m00s] # 1990 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:10us [00m00s] 1990 ab:aaa=a,abba=a infinite ab - - ab:aaa=a,abba=a [00m00s] # 1991 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:2,work:337,nodes:20,pairs:15,completionMax:54us [00m00s] 1991 ab:aaa=a,abba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb b/a - - ab:bbbb=b,ba=abb,aab=b,aaa=a [00m00s] # 1992 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:1us [00m00s] 1992 ab:aaa=a,abbb=a infinite ab - - ab:aaa=a,abbb=a [00m00s] # 1993 solved: rounds:3,rules:3,peak:4,longest:5,steps:1,word:1,work:45,nodes:14,pairs:4,completionMax:18us [00m00s] 1993 ab:aaa=a,abbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=a [00m00s] # 1994 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:73,nodes:12,pairs:3,completionMax:8us [00m00s] 1994 ab:aaa=a,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [00m00s] from: 1994 ab:aaa=a,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [00m00s] # 1995 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:10us [00m00s] 1995 ab:aaa=a,baab=b infinite ab - - ab:aaa=a,baab=b [00m00s] # 1996 solved: rounds:3,rules:3,peak:12,longest:10,steps:8,word:9,work:2997,nodes:36,pairs:16,completionMax:231us [00m00s] 1996 ab:aaa=a,babb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aaa=a [00m00s] # 1997 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:7us [00m00s] 1997 ab:aaa=a,babb=b infinite ab - - ab:aaa=a,babb=b [00m00s] # 1998 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:9,work:195,nodes:24,pairs:3,completionMax:26us [00m00s] 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbb=bbbb,a=bbbb [00m00s] # 1999 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:19us [00m00s] 1999 ab:aaa=a,bbbb=b infinite ab - - ab:aaa=a,bbbb=b [00m00s] # 2000 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:5us [00m00s] 2000 ab:aaa=b,aaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2000 ab:aaa=b,aaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2001 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:2,work:49,nodes:8,pairs:0,completionMax:6us [00m00s] 2001 ab:aaa=b,aaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a3;saturation::;noncancellative:aaa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aaa [00m00s] from: 2001 ab:aaa=b,aaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a3;saturation::;noncancellative:aaa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bbb [00m00s] # 2002 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:16,nodes:12,pairs:0,completionMax:5us [00m00s] 2002 ab:aaa=b,aaab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [00m00s] from: 2002 ab:aaa=b,aaab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [00m00s] # 2003 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:41,nodes:12,pairs:0,completionMax:7us [00m00s] 2003 ab:aaa=b,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaa [00m00s] from: 2003 ab:aaa=b,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [00m00s] # 2004 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:15,nodes:12,pairs:0,completionMax:4us [00m00s] 2004 ab:aaa=b,aaba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [00m00s] from: 2004 ab:aaa=b,aaba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [00m00s] # 2005 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:40,nodes:12,pairs:0,completionMax:4us [00m00s] 2005 ab:aaa=b,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaa [00m00s] from: 2005 ab:aaa=b,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [00m00s] # 2006 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:25,nodes:16,pairs:0,completionMax:13us [00m00s] 2006 ab:aaa=b,aabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [00m00s] from: 2006 ab:aaa=b,aabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [00m00s] # 2007 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:58,nodes:16,pairs:0,completionMax:10us [00m00s] 2007 ab:aaa=b,aabb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [00m00s] from: 2007 ab:aaa=b,aabb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [00m00s] # 2008 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:24,nodes:16,pairs:0,completionMax:8us [00m00s] 2008 ab:aaa=b,abab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [00m00s] from: 2008 ab:aaa=b,abab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [00m00s] # 2009 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:57,nodes:16,pairs:0,completionMax:6us [00m00s] 2009 ab:aaa=b,abab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [00m00s] from: 2009 ab:aaa=b,abab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [00m00s] # 2010 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:23,nodes:16,pairs:0,completionMax:5us [00m00s] 2010 ab:aaa=b,abba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [00m00s] from: 2010 ab:aaa=b,abba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [00m00s] # 2011 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:56,nodes:16,pairs:0,completionMax:6us [00m00s] 2011 ab:aaa=b,abba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [00m00s] from: 2011 ab:aaa=b,abba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [00m00s] # 2012 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:35,nodes:20,pairs:0,completionMax:10us [00m00s] 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [00m00s] # 2013 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:76,nodes:20,pairs:0,completionMax:5us [00m00s] 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [00m00s] # 2014 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:23,nodes:16,pairs:0,completionMax:5us [00m00s] 2014 ab:aaa=b,baab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [00m00s] from: 2014 ab:aaa=b,baab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [00m00s] # 2015 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:56,nodes:16,pairs:0,completionMax:6us [00m00s] 2015 ab:aaa=b,baab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [00m00s] from: 2015 ab:aaa=b,baab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [00m00s] # 2016 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:34,nodes:20,pairs:0,completionMax:7us [00m00s] 2016 ab:aaa=b,babb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [00m00s] from: 2016 ab:aaa=b,babb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [00m00s] # 2017 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:75,nodes:20,pairs:0,completionMax:8us [00m00s] 2017 ab:aaa=b,babb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [00m00s] from: 2017 ab:aaa=b,babb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [00m00s] # 2018 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:46,nodes:24,pairs:0,completionMax:6us [00m00s] 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [00m00s] # 2019 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:95,nodes:24,pairs:0,completionMax:8us [00m00s] 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [00m00s] # 2020 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:25,nodes:8,pairs:1,completionMax:44us [00m00s] 2020 ab:aab=a,aaaa=a infinite a/b - - ab:aaaa=a,ab=aaa [00m00s] from: 2020 ab:aab=a,aaaa=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [00m00s] # 2021 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:15us [00m00s] 2021 ab:aab=a,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [00m00s] from: 2021 ab:aab=a,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [00m00s] # 2022 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:6,pairs:2,completionMax:26us [00m00s] 2022 ab:aab=a,aaab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2022 ab:aab=a,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2023 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:1,completionMax:9us [00m00s] 2023 ab:aab=a,aaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 2023 ab:aab=a,aaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 2024 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:6,pairs:2,completionMax:38us [00m00s] 2024 ab:aab=a,aaba=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2024 ab:aab=a,aaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2025 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:1,completionMax:4us [00m00s] 2025 ab:aab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 2025 ab:aab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 2026 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:1,completionMax:5us [00m00s] 2026 ab:aab=a,aabb=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2026 ab:aab=a,aabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2027 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:7us [00m00s] 2027 ab:aab=a,aabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2027 ab:aab=a,aabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2028 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:230,nodes:10,pairs:13,completionMax:61us [00m00s] 2028 ab:aab=a,abaa=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2028 ab:aab=a,abaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2029 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:2,work:370,nodes:22,pairs:17,completionMax:89us [00m00s] 2029 ab:aab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 2029 ab:aab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 2030 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:10,pairs:8,completionMax:54us [00m00s] 2030 ab:aab=a,abab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2030 ab:aab=a,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2031 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:29us [00m00s] 2031 ab:aab=a,abab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2031 ab:aab=a,abab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2032 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:192,nodes:10,pairs:7,completionMax:53us [00m00s] 2032 ab:aab=a,abba=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2032 ab:aab=a,abba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2033 solved: rounds:3,rules:2,peak:9,longest:4,steps:4,word:0,work:392,nodes:18,pairs:19,completionMax:107us [00m00s] 2033 ab:aab=a,abba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2033 ab:aab=a,abba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2034 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:21,nodes:10,pairs:3,completionMax:29us [00m00s] 2034 ab:aab=a,abbb=a infinite a/b - - ab:aaaa=a,ab=aaa [00m00s] from: 2034 ab:aab=a,abbb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [00m00s] # 2035 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:29,nodes:10,pairs:7,completionMax:26us [00m00s] 2035 ab:aab=a,abbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2035 ab:aab=a,abbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2036 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:393,nodes:14,pairs:25,completionMax:89us [00m00s] 2036 ab:aab=a,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2036 ab:aab=a,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2037 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:1,work:127,nodes:14,pairs:5,completionMax:36us [00m00s] 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [00m00s] # 2038 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:90,nodes:8,pairs:5,completionMax:26us [00m00s] 2038 ab:aab=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2038 ab:aab=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2039 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:51,nodes:8,pairs:4,completionMax:16us [00m00s] 2039 ab:aab=a,baab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2039 ab:aab=a,baab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2040 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:324,nodes:14,pairs:23,completionMax:94us [00m00s] 2040 ab:aab=a,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2040 ab:aab=a,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2041 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:0,work:155,nodes:14,pairs:11,completionMax:74us [00m00s] 2041 ab:aab=a,baba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2041 ab:aab=a,baba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2042 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:160,nodes:16,pairs:9,completionMax:36us [00m00s] 2042 ab:aab=a,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [00m00s] from: 2042 ab:aab=a,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [00m00s] # 2043 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:54,nodes:12,pairs:4,completionMax:23us [00m00s] 2043 ab:aab=a,babb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2043 ab:aab=a,babb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2044 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:318,nodes:16,pairs:17,completionMax:136us [00m00s] 2044 ab:aab=a,bbaa=a infinite ab - - ab:aa=a,ab=a,bba=a [00m00s] from: 2044 ab:aab=a,bbaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [00m00s] # 2045 solved: rounds:3,rules:4,peak:9,longest:4,steps:3,word:0,work:536,nodes:18,pairs:28,completionMax:153us [00m00s] 2045 ab:aab=a,bbaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2045 ab:aab=a,bbaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2046 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:1,work:349,nodes:18,pairs:16,completionMax:108us [00m00s] 2046 ab:aab=a,bbab=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [00m00s] from: 2046 ab:aab=a,bbab=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [00m00s] # 2047 solved: rounds:4,rules:4,peak:6,longest:4,steps:2,word:0,work:309,nodes:16,pairs:19,completionMax:112us [00m00s] 2047 ab:aab=a,bbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2047 ab:aab=a,bbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2048 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:1,work:339,nodes:20,pairs:6,completionMax:106us [00m00s] 2048 ab:aab=a,bbba=a infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [00m00s] # 2049 solved: rounds:3,rules:4,peak:10,longest:4,steps:3,word:0,work:607,nodes:18,pairs:30,completionMax:116us [00m00s] 2049 ab:aab=a,bbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2049 ab:aab=a,bbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2050 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:89,nodes:18,pairs:2,completionMax:17us [00m00s] 2050 ab:aab=a,bbbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbbb [00m00s] from: 2050 ab:aab=a,bbbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=bbbb,b=b [00m00s] # 2051 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:1,work:63,nodes:16,pairs:4,completionMax:36us [00m00s] 2051 ab:aab=a,bbbb=b finite:16;idempotents:1,ba,aaa,bbb,bbaa,bbbaaa a/b - - ab:aaaa=a,ab=aaa,bbbb=b [00m00s] # 2052 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:18us [00m00s] 2052 ab:aab=b,aaaa=a infinite ab - - ab:ab=b,aaaa=a [00m00s] # 2053 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:3,work:73,nodes:12,pairs:1,completionMax:10us [00m00s] 2053 ab:aab=b,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaa [00m00s] from: 2053 ab:aab=b,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbb [00m00s] # 2054 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:7us [00m00s] 2054 ab:aab=b,aaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2054 ab:aab=b,aaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2055 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m00s] 2055 ab:aab=b,aaab=b infinite ab - - ab:ab=b [00m00s] # 2056 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:38,nodes:8,pairs:2,completionMax:11us [00m00s] 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [00m00s] # 2057 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:1us [00m00s] 2057 ab:aab=b,aaba=b infinite ab - - ab:ba=b,aab=b [00m00s] from: 2057 ab:aab=b,aaba=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [00m00s] # 2058 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:22,nodes:10,pairs:2,completionMax:9us [00m00s] 2058 ab:aab=b,aabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2058 ab:aab=b,aabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2059 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [00m00s] 2059 ab:aab=b,aabb=b infinite ab - - ab:bb=b,aab=b [00m00s] from: 2059 ab:aab=b,aabb=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [00m00s] # 2060 solved: rounds:3,rules:4,peak:8,longest:4,steps:2,word:0,work:368,nodes:14,pairs:18,completionMax:42us [00m00s] 2060 ab:aab=b,abaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [00m00s] from: 2060 ab:aab=b,abaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2061 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:1,work:85,nodes:12,pairs:7,completionMax:20us [00m00s] 2061 ab:aab=b,abaa=b infinite a/b - - ab:baaaa=b,ab=baa [00m00s] from: 2061 ab:aab=b,abaa=b infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [00m00s] # 2062 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:110,nodes:14,pairs:13,completionMax:48us [00m00s] 2062 ab:aab=b,abab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2062 ab:aab=b,abab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2063 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:90,nodes:14,pairs:6,completionMax:20us [00m00s] 2063 ab:aab=b,abab=b infinite ab - - ab:bb=b,aab=b,bab=ab [00m00s] # 2064 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:1,work:206,nodes:16,pairs:7,completionMax:45us [00m00s] 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [00m00s] # 2065 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:469,nodes:22,pairs:11,completionMax:74us [00m00s] 2065 ab:aab=b,abba=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [00m00s] from: 2065 ab:aab=b,abba=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [00m00s] # 2066 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:55,nodes:14,pairs:7,completionMax:12us [00m00s] 2066 ab:aab=b,abbb=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbb=aa [00m00s] # 2067 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:3,completionMax:13us [00m00s] 2067 ab:aab=b,abbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [00m00s] from: 2067 ab:aab=b,abbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [00m00s] # 2068 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:109,nodes:12,pairs:7,completionMax:30us [00m00s] 2068 ab:aab=b,baaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [00m00s] from: 2068 ab:aab=b,baaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2069 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:35,nodes:12,pairs:2,completionMax:15us [00m00s] 2069 ab:aab=b,baaa=b infinite ab - - ab:aab=b,bab=bb,baaa=b [00m00s] # 2070 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:23,nodes:10,pairs:2,completionMax:38us [00m00s] 2070 ab:aab=b,baab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2070 ab:aab=b,baab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2071 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:6us [00m00s] 2071 ab:aab=b,baab=b infinite ab - - ab:bb=b,aab=b [00m00s] from: 2071 ab:aab=b,baab=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [00m00s] # 2072 solved: rounds:3,rules:4,peak:8,longest:5,steps:8,word:1,work:878,nodes:20,pairs:18,completionMax:223us [00m00s] 2072 ab:aab=b,baba=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [00m00s] from: 2072 ab:aab=b,baba=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 2073 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:0,work:230,nodes:14,pairs:13,completionMax:127us [00m00s] 2073 ab:aab=b,baba=b infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [00m00s] # 2074 solved: rounds:3,rules:4,peak:7,longest:4,steps:5,word:0,work:471,nodes:20,pairs:10,completionMax:87us [00m00s] 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [00m00s] # 2075 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:5us [00m00s] 2075 ab:aab=b,babb=b infinite ab - - ab:aab=b,babb=b [00m00s] # 2076 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:2,work:216,nodes:16,pairs:7,completionMax:68us [00m00s] 2076 ab:aab=b,bbaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [00m00s] from: 2076 ab:aab=b,bbaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 2077 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:164,nodes:12,pairs:6,completionMax:71us [00m00s] 2077 ab:aab=b,bbaa=b infinite ab - - ab:bb=b,aab=b,baa=b [00m00s] # 2078 solved: rounds:4,rules:4,peak:13,longest:5,steps:4,word:0,work:1504,nodes:26,pairs:47,completionMax:262us [00m00s] 2078 ab:aab=b,bbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [00m00s] from: 2078 ab:aab=b,bbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [00m00s] # 2079 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:15us [00m00s] 2079 ab:aab=b,bbab=b infinite ab - - ab:aab=b,bbab=b [00m00s] # 2080 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:49,nodes:12,pairs:2,completionMax:35us [00m00s] 2080 ab:aab=b,bbba=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [00m00s] # 2081 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:306,nodes:18,pairs:8,completionMax:112us [00m00s] 2081 ab:aab=b,bbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [00m00s] # 2082 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:33,nodes:18,pairs:2,completionMax:49us [00m00s] 2082 ab:aab=b,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [00m00s] from: 2082 ab:aab=b,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [00m00s] # 2083 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:15us [00m00s] 2083 ab:aab=b,bbbb=b infinite ab - - ab:aab=b,bbbb=b [00m00s] # 2084 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:4us [00m00s] 2084 ab:aba=a,aaaa=a infinite ab - - ab:aba=a,aaaa=a [00m00s] # 2085 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:28us [00m00s] 2085 ab:aba=a,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [00m00s] from: 2085 ab:aba=a,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [00m00s] # 2086 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:149,nodes:10,pairs:4,completionMax:54us [00m00s] 2086 ab:aba=a,aaab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2086 ab:aba=a,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2087 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:119,nodes:12,pairs:6,completionMax:40us [00m00s] 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [00m00s] # 2088 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:24,nodes:6,pairs:0,completionMax:3us [00m00s] 2088 ab:aba=a,aaba=a infinite ab - - ab:aa=a,aba=a [00m00s] from: 2088 ab:aba=a,aaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 2089 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:9us [00m00s] 2089 ab:aba=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [00m00s] from: 2089 ab:aba=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [00m00s] # 2090 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:4us [00m00s] 2090 ab:aba=a,aabb=a infinite ab - - ab:aba=a,aabb=a [00m00s] # 2091 solved: rounds:4,rules:4,peak:4,longest:4,steps:1,word:0,work:52,nodes:10,pairs:6,completionMax:21us [00m00s] 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [00m00s] # 2092 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:8us [00m00s] 2092 ab:aba=a,abab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2092 ab:aba=a,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2093 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:41,nodes:6,pairs:3,completionMax:14us [00m00s] 2093 ab:aba=a,abab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [00m00s] from: 2093 ab:aba=a,abab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2094 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:2us [00m00s] 2094 ab:aba=a,abba=a infinite ab - - ab:aba=a,abba=a [00m00s] # 2095 solved: rounds:4,rules:2,peak:6,longest:4,steps:3,word:0,work:209,nodes:12,pairs:21,completionMax:46us [00m00s] 2095 ab:aba=a,abba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2095 ab:aba=a,abba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2096 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:1us [00m00s] 2096 ab:aba=a,abbb=a infinite ab - - ab:aba=a,abbb=a [00m00s] # 2097 solved: rounds:5,rules:4,peak:4,longest:4,steps:2,word:0,work:57,nodes:8,pairs:5,completionMax:15us [00m00s] 2097 ab:aba=a,abbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [00m00s] from: 2097 ab:aba=a,abbb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2098 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:153,nodes:14,pairs:13,completionMax:32us [00m00s] 2098 ab:aba=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2098 ab:aba=a,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2099 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:115,nodes:14,pairs:7,completionMax:27us [00m00s] 2099 ab:aba=a,baab=b infinite ab - - ab:aa=a,aba=a,bab=b [00m00s] # 2100 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:1,work:95,nodes:12,pairs:7,completionMax:18us [00m00s] 2100 ab:aba=a,babb=a infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [00m00s] from: 2100 ab:aba=a,babb=a infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [00m00s] # 2101 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:3,completionMax:12us [00m00s] 2101 ab:aba=a,babb=b infinite ab - - ab:bb=b,aba=a,bab=b [00m00s] # 2102 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:6,work:104,nodes:18,pairs:2,completionMax:16us [00m00s] 2102 ab:aba=a,bbbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbbb [00m00s] from: 2102 ab:aba=a,bbbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=bbbb,b=b [00m00s] # 2103 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:4us [00m00s] 2103 ab:aba=a,bbbb=b infinite ab - - ab:aba=a,bbbb=b [00m00s] # 2104 solved: rounds:2,rules:3,peak:6,longest:4,steps:5,word:2,work:212,nodes:16,pairs:7,completionMax:33us [00m00s] 2104 ab:aba=b,aaaa=a infinite a/b - - ab:aaaa=a,baaa=b,ab=baa [00m00s] # 2105 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:6,work:110,nodes:12,pairs:2,completionMax:11us [00m00s] 2105 ab:aba=b,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaa [00m00s] from: 2105 ab:aba=b,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbb [00m00s] # 2106 solved: rounds:2,rules:2,peak:9,longest:4,steps:4,word:1,work:359,nodes:14,pairs:16,completionMax:66us [00m00s] 2106 ab:aba=b,aaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2106 ab:aba=b,aaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2107 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:1,work:86,nodes:10,pairs:9,completionMax:44us [00m00s] 2107 ab:aba=b,aaab=b infinite a/b - - ab:baaa=b,ab=baa [00m00s] from: 2107 ab:aba=b,aaab=b infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [00m00s] # 2108 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:32,nodes:6,pairs:3,completionMax:20us [00m00s] 2108 ab:aba=b,aaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2108 ab:aba=b,aaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2109 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:2,completionMax:8us [00m00s] 2109 ab:aba=b,aaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [00m00s] from: 2109 ab:aba=b,aaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [00m00s] # 2110 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:2,work:218,nodes:22,pairs:9,completionMax:64us [00m00s] 2110 ab:aba=b,aabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2110 ab:aba=b,aabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2111 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:282,nodes:18,pairs:12,completionMax:49us [00m00s] 2111 ab:aba=b,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [00m00s] from: 2111 ab:aba=b,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [00m00s] # 2112 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:27,nodes:10,pairs:2,completionMax:16us [00m00s] 2112 ab:aba=b,abab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2112 ab:aba=b,abab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2113 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:8,pairs:2,completionMax:19us [00m00s] 2113 ab:aba=b,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [00m00s] from: 2113 ab:aba=b,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [00m00s] # 2114 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:5,work:566,nodes:24,pairs:22,completionMax:102us [00m00s] 2114 ab:aba=b,abba=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [00m00s] from: 2114 ab:aba=b,abba=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [00m00s] # 2115 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:357,nodes:18,pairs:23,completionMax:63us [00m00s] 2115 ab:aba=b,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [00m00s] from: 2115 ab:aba=b,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [00m00s] # 2116 solved: rounds:3,rules:4,peak:7,longest:4,steps:3,word:0,work:307,nodes:16,pairs:12,completionMax:51us [00m00s] 2116 ab:aba=b,abbb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [00m00s] from: 2116 ab:aba=b,abbb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [00m00s] # 2117 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:177,nodes:14,pairs:9,completionMax:52us [00m00s] 2117 ab:aba=b,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [00m00s] from: 2117 ab:aba=b,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [00m00s] # 2118 solved: rounds:3,rules:4,peak:8,longest:7,steps:5,word:4,work:712,nodes:28,pairs:15,completionMax:75us [00m00s] 2118 ab:aba=b,baab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bb=aaa [00m00s] # 2119 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:135,nodes:12,pairs:10,completionMax:22us [00m00s] 2119 ab:aba=b,baab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [00m00s] from: 2119 ab:aba=b,baab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [00m00s] # 2120 solved: rounds:2,rules:4,peak:8,longest:4,steps:3,word:0,work:341,nodes:18,pairs:15,completionMax:69us [00m00s] 2120 ab:aba=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [00m00s] from: 2120 ab:aba=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [00m00s] # 2121 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:123,nodes:14,pairs:8,completionMax:64us [00m00s] 2121 ab:aba=b,babb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [00m00s] from: 2121 ab:aba=b,babb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [00m00s] # 2122 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:38,nodes:18,pairs:2,completionMax:28us [00m00s] 2122 ab:aba=b,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [00m00s] from: 2122 ab:aba=b,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [00m00s] # 2123 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:91,nodes:12,pairs:5,completionMax:44us [00m00s] 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [00m00s] # 2124 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:13us [00m00s] 2124 ab:ab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2124 ab:ab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2125 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:11us [00m00s] 2125 ab:ab=aa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2125 ab:ab=aa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2126 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:13us [00m00s] 2126 ab:ab=aa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2126 ab:ab=aa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2127 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:6us [00m00s] 2127 ab:ab=aa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2127 ab:ab=aa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2128 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:9us [00m00s] 2128 ab:ab=aa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2128 ab:ab=aa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2129 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:11us [00m00s] 2129 ab:ab=aa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2129 ab:ab=aa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2130 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:5us [00m00s] 2130 ab:ab=aa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2130 ab:ab=aa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2131 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:5us [00m00s] 2131 ab:ab=aa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2131 ab:ab=aa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2132 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:7us [00m00s] 2132 ab:ab=aa,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2132 ab:ab=aa,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2133 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:3us [00m00s] 2133 ab:ab=aa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2133 ab:ab=aa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2134 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:4us [00m00s] 2134 ab:ab=aa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2134 ab:ab=aa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2135 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:11us [00m00s] 2135 ab:ab=aa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2135 ab:ab=aa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2136 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:12us [00m00s] 2136 ab:ab=aa,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2136 ab:ab=aa,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2137 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:5us [00m00s] 2137 ab:ab=aa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2137 ab:ab=aa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2138 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:6us [00m00s] 2138 ab:ab=aa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2138 ab:ab=aa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2139 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:25,nodes:10,pairs:1,completionMax:9us [00m00s] 2139 ab:ab=aa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2139 ab:ab=aa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2140 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:59,nodes:20,pairs:3,completionMax:19us [00m00s] 2140 ab:ab=aa,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2140 ab:ab=aa,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2141 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:64,nodes:20,pairs:3,completionMax:14us [00m00s] 2141 ab:ab=aa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2141 ab:ab=aa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2142 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:64,nodes:20,pairs:3,completionMax:15us [00m00s] 2142 ab:ab=aa,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2142 ab:ab=aa,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2143 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:69,nodes:20,pairs:3,completionMax:15us [00m00s] 2143 ab:ab=aa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2143 ab:ab=aa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2144 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:64,nodes:20,pairs:3,completionMax:33us [00m00s] 2144 ab:ab=aa,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2144 ab:ab=aa,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2145 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:69,nodes:20,pairs:3,completionMax:19us [00m00s] 2145 ab:ab=aa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2145 ab:ab=aa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2146 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:69,nodes:20,pairs:3,completionMax:23us [00m00s] 2146 ab:ab=aa,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2146 ab:ab=aa,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2147 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:74,nodes:20,pairs:3,completionMax:20us [00m00s] 2147 ab:ab=aa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2147 ab:ab=aa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2148 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:90,nodes:20,pairs:4,completionMax:23us [00m00s] 2148 ab:ab=aa,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2148 ab:ab=aa,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2149 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:95,nodes:20,pairs:4,completionMax:21us [00m00s] 2149 ab:ab=aa,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2149 ab:ab=aa,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2150 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:95,nodes:20,pairs:4,completionMax:18us [00m00s] 2150 ab:ab=aa,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2150 ab:ab=aa,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2151 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:100,nodes:20,pairs:4,completionMax:22us [00m00s] 2151 ab:ab=aa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2151 ab:ab=aa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2152 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:124,nodes:20,pairs:5,completionMax:11us [00m00s] 2152 ab:ab=aa,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2152 ab:ab=aa,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2153 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:129,nodes:20,pairs:5,completionMax:19us [00m00s] 2153 ab:ab=aa,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2153 ab:ab=aa,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2154 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:158,nodes:20,pairs:6,completionMax:12us [00m00s] 2154 ab:ab=aa,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m00s] from: 2154 ab:ab=aa,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m00s] # 2155 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:0,work:44,nodes:20,pairs:1,completionMax:11us [00m00s] 2155 ab:ab=aa,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba ab - - ab:ab=aa,bbbbb=1,aaaaaa=a [00m00s] # 2156 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:0,work:29,nodes:12,pairs:0,completionMax:4us [00m00s] 2156 ab:ba=ab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 ab - - ab:ba=ab,aaaaa=1 [00m00s] # 2157 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:29,nodes:12,pairs:0,completionMax:6us [00m00s] 2157 ab:ba=ab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m00s] from: 2157 ab:ba=ab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m00s] # 2158 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:34,nodes:12,pairs:0,completionMax:3us [00m00s] 2158 ab:ba=ab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m00s] from: 2158 ab:ba=ab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m00s] # 2159 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:29,nodes:12,pairs:0,completionMax:3us [00m00s] 2159 ab:ba=ab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m00s] from: 2159 ab:ba=ab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m00s] # 2160 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:39,nodes:12,pairs:0,completionMax:2us [00m00s] 2160 ab:ba=ab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m00s] from: 2160 ab:ba=ab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m00s] # 2161 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:34,nodes:12,pairs:0,completionMax:5us [00m00s] 2161 ab:ba=ab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m00s] from: 2161 ab:ba=ab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m00s] # 2162 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:39,nodes:12,pairs:0,completionMax:1us [00m00s] 2162 ab:ba=ab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m00s] from: 2162 ab:ba=ab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m00s] # 2163 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:39,nodes:12,pairs:0,completionMax:14us [00m00s] 2163 ab:ba=ab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m00s] from: 2163 ab:ba=ab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m00s] # 2164 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:44,nodes:12,pairs:0,completionMax:4us [00m00s] 2164 ab:ba=ab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m00s] from: 2164 ab:ba=ab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m00s] # 2165 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:44,nodes:12,pairs:0,completionMax:5us [00m00s] 2165 ab:ba=ab,abbba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [00m00s] from: 2165 ab:ba=ab,abbba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [00m00s] # 2166 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:5,work:32,nodes:20,pairs:4,completionMax:20us [00m00s] 2166 ab:bb=aa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2166 ab:bb=aa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2167 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:22,nodes:20,pairs:4,completionMax:11us [00m00s] 2167 ab:bb=aa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m00s] from: 2167 ab:bb=aa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [00m00s] # 2168 solved: rounds:3,rules:2,peak:6,longest:10,steps:3,word:5,work:448,nodes:26,pairs:11,completionMax:53us [00m00s] 2168 ab:bb=aa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m00s] from: 2168 ab:bb=aa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [00m00s] # 2169 solved: rounds:2,rules:2,peak:5,longest:10,steps:4,word:5,work:345,nodes:26,pairs:10,completionMax:39us [00m00s] 2169 ab:bb=aa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2169 ab:bb=aa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2170 solved: rounds:2,rules:2,peak:5,longest:10,steps:4,word:5,work:340,nodes:26,pairs:10,completionMax:36us [00m00s] 2170 ab:bb=aa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m00s] from: 2170 ab:bb=aa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [00m00s] # 2171 solved: rounds:3,rules:2,peak:6,longest:10,steps:3,word:5,work:453,nodes:26,pairs:11,completionMax:52us [00m00s] 2171 ab:bb=aa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2171 ab:bb=aa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2172 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:27,nodes:20,pairs:4,completionMax:14us [00m00s] 2172 ab:bb=aa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2172 ab:bb=aa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2173 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:37,nodes:20,pairs:5,completionMax:15us [00m00s] 2173 ab:bb=aa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2173 ab:bb=aa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2174 solved: rounds:2,rules:2,peak:5,longest:16,steps:15,word:10,work:1003,nodes:40,pairs:14,completionMax:65us [00m00s] 2174 ab:bb=aa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m00s] from: 2174 ab:bb=aa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m00s] # 2175 solved: rounds:3,rules:2,peak:6,longest:10,steps:3,word:5,work:453,nodes:26,pairs:11,completionMax:52us [00m00s] 2175 ab:bb=aa,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m00s] from: 2175 ab:bb=aa,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [00m00s] # 2176 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:3us [00m00s] 2176 ab:ab=aa,aaaa=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] # 2177 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:1,completionMax:7us [00m00s] 2177 ab:ab=aa,aaaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2177 ab:ab=aa,aaaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2178 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:4us [00m00s] 2178 ab:ab=aa,aaab=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2178 ab:ab=aa,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2179 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:10,pairs:1,completionMax:7us [00m00s] 2179 ab:ab=aa,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2179 ab:ab=aa,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2180 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [00m00s] 2180 ab:ab=aa,aaba=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2180 ab:ab=aa,aaba=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2181 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:10,pairs:1,completionMax:8us [00m00s] 2181 ab:ab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2181 ab:ab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2182 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:4us [00m00s] 2182 ab:ab=aa,aabb=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2182 ab:ab=aa,aabb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2183 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:10,pairs:1,completionMax:7us [00m00s] 2183 ab:ab=aa,aabb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2183 ab:ab=aa,aabb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2184 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [00m00s] 2184 ab:ab=aa,abaa=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2184 ab:ab=aa,abaa=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2185 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:10,pairs:1,completionMax:5us [00m00s] 2185 ab:ab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2185 ab:ab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2186 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [00m00s] 2186 ab:ab=aa,abab=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2186 ab:ab=aa,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2187 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:10,pairs:1,completionMax:6us [00m00s] 2187 ab:ab=aa,abab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2187 ab:ab=aa,abab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2188 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:4us [00m00s] 2188 ab:ab=aa,abba=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2188 ab:ab=aa,abba=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2189 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:10,pairs:1,completionMax:4us [00m00s] 2189 ab:ab=aa,abba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2189 ab:ab=aa,abba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2190 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:4us [00m00s] 2190 ab:ab=aa,abbb=a infinite ab - - ab:ab=aa,aaaa=a [00m00s] from: 2190 ab:ab=aa,abbb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m00s] # 2191 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:32,nodes:10,pairs:1,completionMax:7us [00m00s] 2191 ab:ab=aa,abbb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 a/b - - ab:aaaaa=aa,b=aaaa [00m00s] from: 2191 ab:ab=aa,abbb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aa,aaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaaa [00m00s] # 2192 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:184,nodes:16,pairs:5,completionMax:24us [00m00s] 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m00s] # 2193 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:52,nodes:10,pairs:5,completionMax:10us [00m00s] 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] # 2194 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:188,nodes:16,pairs:5,completionMax:19us [00m00s] 2194 ab:ab=aa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m00s] from: 2194 ab:ab=aa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m00s] # 2195 solved: rounds:4,rules:3,peak:7,longest:5,steps:2,word:0,work:360,nodes:16,pairs:12,completionMax:49us [00m00s] 2195 ab:ab=aa,baab=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2195 ab:ab=aa,baab=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2196 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:188,nodes:16,pairs:5,completionMax:25us [00m00s] 2196 ab:ab=aa,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m00s] from: 2196 ab:ab=aa,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m00s] # 2197 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:48,nodes:10,pairs:5,completionMax:12us [00m00s] 2197 ab:ab=aa,baba=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2197 ab:ab=aa,baba=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2198 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:192,nodes:16,pairs:5,completionMax:22us [00m00s] 2198 ab:ab=aa,babb=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m00s] from: 2198 ab:ab=aa,babb=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m00s] # 2199 solved: rounds:4,rules:3,peak:7,longest:5,steps:2,word:0,work:356,nodes:16,pairs:12,completionMax:29us [00m00s] 2199 ab:ab=aa,babb=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2199 ab:ab=aa,babb=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2200 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:145,nodes:16,pairs:3,completionMax:16us [00m00s] 2200 ab:ab=aa,bbaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaa=a [00m00s] # 2201 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:0,work:79,nodes:12,pairs:6,completionMax:11us [00m00s] 2201 ab:ab=aa,bbaa=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2201 ab:ab=aa,bbaa=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2202 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:149,nodes:16,pairs:3,completionMax:15us [00m00s] 2202 ab:ab=aa,bbab=a infinite ab - - ab:ab=aa,bba=aaa,aaaa=a [00m00s] from: 2202 ab:ab=aa,bbab=a infinite to: 2200 ab:ab=aa,bbaa=a infinite a=a,b=b [00m00s] # 2203 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:0,work:75,nodes:12,pairs:6,completionMax:12us [00m00s] 2203 ab:ab=aa,bbab=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2203 ab:ab=aa,bbab=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2204 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:53,nodes:16,pairs:1,completionMax:5us [00m00s] 2204 ab:ab=aa,bbba=a infinite ab - - ab:ab=aa,bbba=a,aaaaa=aa [00m00s] # 2205 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:30,nodes:10,pairs:3,completionMax:10us [00m00s] 2205 ab:ab=aa,bbba=b finite:8;idempotents:1,abb,bbb ba - - ab:ba=bb,aa=ab,bbbb=b [00m00s] from: 2205 ab:ab=aa,bbba=b finite:8;idempotents:1,abb,bbb to: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb a=a,b=b [00m00s] # 2206 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:6,work:141,nodes:16,pairs:2,completionMax:15us [00m00s] 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 b/a - - ab:bbbbbbbb=bbbbb,a=bbbb [00m00s] # 2207 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:53,nodes:16,pairs:1,completionMax:14us [00m00s] 2207 ab:ab=aa,bbbb=b finite:20;idempotents:1,aaa,baa,bbb,bbaaaa,bbbaaa ab - - ab:ab=aa,bbbb=b,aaaaa=aa [00m00s] # 2208 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:29,nodes:10,pairs:0,completionMax:3us [00m00s] 2208 ab:ba=ab,aaaa=a infinite;commutative:ab:a4=a;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaa=a [00m00s] # 2209 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:3,work:1,nodes:4,pairs:0,completionMax:2us [00m00s] 2209 ab:ba=ab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaaa [00m00s] from: 2209 ab:ba=ab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbbb [00m00s] # 2210 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:21,nodes:10,pairs:0,completionMax:3us [00m00s] 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [00m00s] # 2211 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:21,nodes:10,pairs:0,completionMax:3us [00m00s] 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [00m00s] # 2212 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:4us [00m00s] 2212 ab:ba=ab,aaba=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [00m00s] from: 2212 ab:ba=ab,aaba=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [00m00s] # 2213 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:4us [00m00s] 2213 ab:ba=ab,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [00m00s] from: 2213 ab:ba=ab,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [00m00s] # 2214 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:6us [00m00s] 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m00s] # 2215 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:4us [00m00s] 2215 ab:ba=ab,abab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m00s] from: 2215 ab:ba=ab,abab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m00s] # 2216 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:5us [00m00s] 2216 ab:ba=ab,abba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m00s] from: 2216 ab:ba=ab,abba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m00s] # 2217 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:3us [00m00s] 2217 ab:ba=ab,abba=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=b [00m00s] from: 2217 ab:ba=ab,abba=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=b,b=a [00m00s] # 2218 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:58,nodes:16,pairs:2,completionMax:10us [00m00s] 2218 ab:bb=aa,aaaa=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbbb=bb,a=bbbb [00m00s] from: 2218 ab:bb=aa,aaaa=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=aaaa,b=a [00m00s] # 2219 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:50,nodes:16,pairs:2,completionMax:13us [00m00s] 2219 ab:bb=aa,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaaa [00m00s] from: 2219 ab:bb=aa,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaaa [00m00s] # 2220 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:3,work:144,nodes:18,pairs:7,completionMax:27us [00m00s] 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa,bb=aa [00m00s] # 2221 solved: rounds:3,rules:4,peak:6,longest:7,steps:3,word:3,work:298,nodes:18,pairs:6,completionMax:29us [00m00s] 2221 ab:bb=aa,aaab=b finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2=b2,ab3=b,b5=ab;saturation:a:a6=1;noncancellative:abb,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bb [00m00s] from: 2221 ab:bb=aa,aaab=b finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2=b2,ab3=b,b5=ab;saturation:a:a6=1;noncancellative:abb,1,ab,ab;smith:6 to: 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a=b,b=a [00m00s] # 2222 solved: rounds:3,rules:4,peak:6,longest:7,steps:3,word:3,work:294,nodes:18,pairs:6,completionMax:39us [00m00s] 2222 ab:bb=aa,aaba=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa,bb=aa [00m00s] from: 2222 ab:bb=aa,aaba=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 to: 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a=a,b=b [00m00s] # 2223 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:3,work:148,nodes:18,pairs:7,completionMax:25us [00m00s] 2223 ab:bb=aa,aaba=b finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2=b2,ab3=b,b5=ab;saturation:a:a6=1;noncancellative:abb,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bb [00m00s] from: 2223 ab:bb=aa,aaba=b finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2=b2,ab3=b,b5=ab;saturation:a:a6=1;noncancellative:abb,1,ab,ab;smith:6 to: 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a=b,b=a [00m00s] # 2224 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:54,nodes:16,pairs:2,completionMax:12us [00m00s] 2224 ab:bb=aa,aabb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbbb=bb,a=bbbb [00m00s] from: 2224 ab:bb=aa,aabb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=aaaa,b=a [00m00s] # 2225 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:3,work:317,nodes:26,pairs:11,completionMax:46us [00m00s] 2225 ab:bb=aa,abab=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbbb=bb,a=bbbb [00m00s] from: 2225 ab:bb=aa,abab=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=aaaa,b=a [00m00s] # 2226 solved: rounds:3,rules:2,peak:4,longest:8,steps:3,word:3,work:146,nodes:16,pairs:10,completionMax:32us [00m00s] 2226 ab:bb=aa,abba=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbbb=bb,a=bbbb [00m00s] from: 2226 ab:bb=aa,abba=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=aaaa,b=a [00m00s] # 2227 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:54,nodes:16,pairs:2,completionMax:13us [00m00s] 2227 ab:bb=aa,abba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaaa [00m00s] from: 2227 ab:bb=aa,abba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaaa [00m00s] # 2228 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:2us [00m00s] 2228 ab:ab=aa,aaa=aa infinite ab - - ab:ab=aa,aaa=aa [00m00s] # 2229 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:3us [00m00s] 2229 ab:ab=aa,aaa=ab infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2229 ab:ab=aa,aaa=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2230 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:92,nodes:10,pairs:1,completionMax:11us [00m00s] 2230 ab:ab=aa,aaa=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,ab=aa [00m00s] # 2231 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:126,nodes:10,pairs:3,completionMax:11us [00m00s] 2231 ab:ab=aa,aaa=bb finite:7;idempotents:1,bb;center:1,bb,baa ab - - ab:ab=aa,aaa=bb,bba=bb,bbb=bb [00m00s] # 2232 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:3us [00m00s] 2232 ab:ab=aa,aab=aa infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2232 ab:ab=aa,aab=aa infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2233 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:35,nodes:6,pairs:0,completionMax:2us [00m00s] 2233 ab:ab=aa,aab=ab infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2233 ab:ab=aa,aab=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2234 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:95,nodes:10,pairs:1,completionMax:9us [00m00s] 2234 ab:ab=aa,aab=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,ab=aa [00m00s] from: 2234 ab:ab=aa,aab=ba infinite to: 2230 ab:ab=aa,aaa=ba infinite a=a,b=b [00m00s] # 2235 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:129,nodes:10,pairs:3,completionMax:8us [00m00s] 2235 ab:ab=aa,aab=bb finite:7;idempotents:1,bb;center:1,bb,baa ab - - ab:ab=aa,aaa=bb,bba=bb,bbb=bb [00m00s] from: 2235 ab:ab=aa,aab=bb finite:7;idempotents:1,bb;center:1,bb,baa to: 2231 ab:ab=aa,aaa=bb finite:7;idempotents:1,bb;center:1,bb,baa a=a,b=b [00m00s] # 2236 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:3us [00m00s] 2236 ab:ab=aa,aba=aa infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2236 ab:ab=aa,aba=aa infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2237 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:35,nodes:6,pairs:0,completionMax:3us [00m00s] 2237 ab:ab=aa,aba=ab infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2237 ab:ab=aa,aba=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2238 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:95,nodes:10,pairs:1,completionMax:11us [00m00s] 2238 ab:ab=aa,aba=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,ab=aa [00m00s] from: 2238 ab:ab=aa,aba=ba infinite to: 2230 ab:ab=aa,aaa=ba infinite a=a,b=b [00m00s] # 2239 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:129,nodes:10,pairs:3,completionMax:16us [00m00s] 2239 ab:ab=aa,aba=bb finite:7;idempotents:1,bb;center:1,bb,baa ab - - ab:ab=aa,aaa=bb,bba=bb,bbb=bb [00m00s] from: 2239 ab:ab=aa,aba=bb finite:7;idempotents:1,bb;center:1,bb,baa to: 2231 ab:ab=aa,aaa=bb finite:7;idempotents:1,bb;center:1,bb,baa a=a,b=b [00m00s] # 2240 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:6,pairs:0,completionMax:10us [00m00s] 2240 ab:ab=aa,abb=aa infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2240 ab:ab=aa,abb=aa infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2241 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:38,nodes:6,pairs:0,completionMax:7us [00m00s] 2241 ab:ab=aa,abb=ab infinite ab - - ab:ab=aa,aaa=aa [00m00s] from: 2241 ab:ab=aa,abb=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [00m00s] # 2242 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:98,nodes:10,pairs:1,completionMax:24us [00m00s] 2242 ab:ab=aa,abb=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,ab=aa [00m00s] from: 2242 ab:ab=aa,abb=ba infinite to: 2230 ab:ab=aa,aaa=ba infinite a=a,b=b [00m00s] # 2243 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:132,nodes:10,pairs:3,completionMax:31us [00m00s] 2243 ab:ab=aa,abb=bb finite:7;idempotents:1,bb;center:1,bb,baa ab - - ab:ab=aa,aaa=bb,bba=bb,bbb=bb [00m00s] from: 2243 ab:ab=aa,abb=bb finite:7;idempotents:1,bb;center:1,bb,baa to: 2231 ab:ab=aa,aaa=bb finite:7;idempotents:1,bb;center:1,bb,baa a=a,b=b [00m00s] # 2244 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:92,nodes:12,pairs:1,completionMax:19us [00m00s] 2244 ab:ab=aa,baa=aa infinite ab - - ab:ab=aa,baa=aa,aaaa=aaa [00m00s] # 2245 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:94,nodes:12,pairs:1,completionMax:18us [00m00s] 2245 ab:ab=aa,baa=ab infinite ab - - ab:ab=aa,baa=aa,aaaa=aaa [00m00s] from: 2245 ab:ab=aa,baa=ab infinite to: 2244 ab:ab=aa,baa=aa infinite a=a,b=b [00m00s] # 2246 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:12,pairs:1,completionMax:19us [00m00s] 2246 ab:ab=aa,baa=ba infinite ab - - ab:ab=aa,baa=ba,aaaa=aaa [00m00s] # 2247 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:82,nodes:10,pairs:2,completionMax:27us [00m00s] 2247 ab:ab=aa,baa=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=aaa,ab=aa,bb=baa [00m00s] # 2248 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:95,nodes:12,pairs:1,completionMax:20us [00m00s] 2248 ab:ab=aa,bab=aa infinite ab - - ab:ab=aa,baa=aa,aaaa=aaa [00m00s] from: 2248 ab:ab=aa,bab=aa infinite to: 2244 ab:ab=aa,baa=aa infinite a=a,b=b [00m00s] # 2249 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:97,nodes:12,pairs:1,completionMax:15us [00m00s] 2249 ab:ab=aa,bab=ab infinite ab - - ab:ab=aa,baa=aa,aaaa=aaa [00m00s] from: 2249 ab:ab=aa,bab=ab infinite to: 2244 ab:ab=aa,baa=aa infinite a=a,b=b [00m00s] # 2250 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:112,nodes:12,pairs:1,completionMax:27us [00m00s] 2250 ab:ab=aa,bab=ba infinite ab - - ab:ab=aa,baa=ba,aaaa=aaa [00m00s] from: 2250 ab:ab=aa,bab=ba infinite to: 2246 ab:ab=aa,baa=ba infinite a=a,b=b [00m00s] # 2251 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:85,nodes:10,pairs:2,completionMax:18us [00m00s] 2251 ab:ab=aa,bab=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=aaa,ab=aa,bb=baa [00m00s] from: 2251 ab:ab=aa,bab=bb finite:8;idempotents:1,aaa,baaa to: 2247 ab:ab=aa,baa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [00m00s] # 2252 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:89,nodes:12,pairs:1,completionMax:20us [00m00s] 2252 ab:ab=aa,bba=aa infinite ab - - ab:ab=aa,bba=aa,aaaa=aaa [00m00s] # 2253 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:91,nodes:12,pairs:1,completionMax:15us [00m00s] 2253 ab:ab=aa,bba=ab infinite ab - - ab:ab=aa,bba=aa,aaaa=aaa [00m00s] from: 2253 ab:ab=aa,bba=ab infinite to: 2252 ab:ab=aa,bba=aa infinite a=a,b=b [00m00s] # 2254 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:85,nodes:12,pairs:1,completionMax:17us [00m00s] 2254 ab:ab=aa,bba=ba infinite ab - - ab:ab=aa,bba=ba,aaaa=aaa [00m00s] # 2255 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:152,nodes:12,pairs:2,completionMax:33us [00m00s] 2255 ab:ab=aa,bba=bb finite:9;idempotents:1,bb,aaa,baaa ab - - ab:ab=aa,bba=bb,bbb=bb,aaaa=aaa [00m00s] # 2256 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:186,nodes:14,pairs:3,completionMax:26us [00m00s] 2256 ab:ab=aa,bbb=aa finite:8;idempotents:1,aaa;center:1,aa,aaa,bba ab - - ab:ab=aa,baa=aaa,bbb=aa,aaaa=aaa [00m00s] # 2257 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:188,nodes:14,pairs:3,completionMax:22us [00m00s] 2257 ab:ab=aa,bbb=ab finite:8;idempotents:1,aaa;center:1,aa,aaa,bba ab - - ab:ab=aa,baa=aaa,bbb=aa,aaaa=aaa [00m00s] from: 2257 ab:ab=aa,bbb=ab finite:8;idempotents:1,aaa;center:1,aa,aaa,bba to: 2256 ab:ab=aa,bbb=aa finite:8;idempotents:1,aaa;center:1,aa,aaa,bba a=a,b=b [00m00s] # 2258 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:271,nodes:16,pairs:2,completionMax:20us [00m00s] 2258 ab:ab=aa,bbb=ba finite:8;idempotents:1,abb,bbbb b/a - - ab:bbbbb=bbbb,abbb=abb,ba=bbb,aa=ab [00m00s] # 2259 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:96,nodes:12,pairs:1,completionMax:17us [00m00s] 2259 ab:ab=aa,bbb=bb finite:12;idempotents:1,bb,aaa,baaa,bbaaa ab - - ab:ab=aa,bbb=bb,aaaa=aaa [00m00s] # 2260 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:35,nodes:8,pairs:0,completionMax:3us [00m00s] 2260 ab:ba=ab,aaa=aa infinite;commutative:ab:a3=a2;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaa=aa [00m00s] # 2261 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:2,work:25,nodes:6,pairs:0,completionMax:2us [00m00s] 2261 ab:ba=ab,aaa=ab infinite;commutative:ab:ab=a3;saturation:a:;noncancellative:aa,b,aaa,aaaaa;smith:0 a/b - - ab:ba=aaa,ab=aaa [00m00s] # 2262 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:33,nodes:8,pairs:0,completionMax:2us [00m00s] 2262 ab:ba=ab,aaa=bb infinite;commutative:ab:b2=a3;saturation:ab:a2=b3;cancellative;smith:0 ab - - ab:ba=ab,aaa=bb [00m00s] # 2263 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:2us [00m00s] 2263 ab:ba=ab,aab=aa infinite;commutative:ab:a2b=a2;saturation:a:;noncancellative:b,1,aa,aa;smith:0 ab - - ab:ba=ab,aab=aa [00m00s] # 2264 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:5us [00m00s] 2264 ab:ba=ab,aab=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=ab [00m00s] # 2265 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:2us [00m00s] 2265 ab:ba=ab,aab=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=ab [00m00s] from: 2265 ab:ba=ab,aab=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 2264 ab:ba=ab,aab=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 a=a,b=b [00m00s] # 2266 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [00m00s] 2266 ab:ba=ab,aab=bb infinite;commutative:ab:b2=a2b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aab=bb [00m00s] # 2267 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:2us [00m00s] 2267 ab:ba=ab,aba=aa infinite;commutative:ab:a2b=a2;saturation:a:;noncancellative:b,1,aa,aa;smith:0 ab - - ab:ba=ab,aab=aa [00m00s] from: 2267 ab:ba=ab,aba=aa infinite;commutative:ab:a2b=a2;saturation:a:;noncancellative:b,1,aa,aa;smith:0 to: 2263 ab:ba=ab,aab=aa infinite;commutative:ab:a2b=a2;saturation:a:;noncancellative:b,1,aa,aa;smith:0 a=a,b=b [00m00s] # 2268 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:8,pairs:0,completionMax:5us [00m00s] 2268 ab:ba=ab,aba=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=ab [00m00s] from: 2268 ab:ba=ab,aba=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 2264 ab:ba=ab,aab=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 a=a,b=b [00m00s] # 2269 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:4us [00m00s] 2269 ab:ba=ab,aba=bb infinite;commutative:ab:b2=a2b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aab=bb [00m00s] from: 2269 ab:ba=ab,aba=bb infinite;commutative:ab:b2=a2b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 2266 ab:ba=ab,aab=bb infinite;commutative:ab:b2=a2b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [00m00s] # 2270 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:84,nodes:12,pairs:2,completionMax:10us [00m00s] 2270 ab:bb=aa,aaa=aa infinite ba - - ab:aa=bb,bba=bb,abb=bb,bbbb=bb [00m00s] # 2271 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:138,nodes:14,pairs:2,completionMax:18us [00m00s] 2271 ab:bb=aa,aaa=ab finite:7;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa a/b - - ab:aaaaa=aaa,baa=aaaa,ab=aaa,bb=aa [00m00s] # 2272 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:82,nodes:12,pairs:2,completionMax:7us [00m00s] 2272 ab:bb=aa,aaa=bb infinite ba - - ab:aa=bb,bba=bb,abb=bb,bbbb=bb [00m00s] from: 2272 ab:bb=aa,aaa=bb infinite to: 2270 ab:bb=aa,aaa=aa infinite a=a,b=b [00m00s] # 2273 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:79,nodes:12,pairs:2,completionMax:14us [00m00s] 2273 ab:bb=aa,aab=aa infinite ab - - ab:bb=aa,aab=aa,baa=aa,aaaa=aa [00m00s] from: 2273 ab:bb=aa,aab=aa infinite to: 2270 ab:bb=aa,aaa=aa infinite a=b,b=a [00m00s] # 2274 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:140,nodes:12,pairs:2,completionMax:13us [00m00s] 2274 ab:bb=aa,aab=ab finite:7;idempotents:1,bbbb;center:1,ba,bb,bbb,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aa=bb [00m00s] # 2275 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:141,nodes:14,pairs:2,completionMax:18us [00m00s] 2275 ab:bb=aa,aab=ba finite:7;idempotents:1,bbbb;center:1,ab,bb,bbb,bbbb b/a - - ab:bbbbb=bbb,abb=bbbb,ba=bbb,aa=bb [00m00s] from: 2275 ab:bb=aa,aab=ba finite:7;idempotents:1,bbbb;center:1,ab,bb,bbb,bbbb to: 2271 ab:bb=aa,aaa=ab finite:7;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa a=b,b=a [00m00s] # 2276 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:81,nodes:12,pairs:2,completionMax:7us [00m00s] 2276 ab:bb=aa,aab=bb infinite ab - - ab:bb=aa,aab=aa,baa=aa,aaaa=aa [00m00s] from: 2276 ab:bb=aa,aab=bb infinite to: 2270 ab:bb=aa,aaa=aa infinite a=b,b=a [00m00s] # 2277 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:223,nodes:16,pairs:3,completionMax:21us [00m00s] 2277 ab:bb=aa,aba=aa finite:10;idempotents:1,aaaa;center:1,aa,aaa,aab,bab,aaaa ab - - ab:bb=aa,aba=aa,baa=aab,aaab=aaa,aaaaa=aaa [00m00s] # 2278 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:2,work:450,nodes:16,pairs:18,completionMax:57us [00m00s] 2278 ab:bb=aa,aba=ab finite:7;idempotents:1,bbbb;center:1,ba,bb,bbb,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aa=bb [00m00s] from: 2278 ab:bb=aa,aba=ab finite:7;idempotents:1,bbbb;center:1,ba,bb,bbb,bbbb to: 2274 ab:bb=aa,aab=ab finite:7;idempotents:1,bbbb;center:1,ba,bb,bbb,bbbb a=a,b=b [00m00s] # 2279 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:225,nodes:16,pairs:3,completionMax:22us [00m00s] 2279 ab:bb=aa,aba=bb finite:10;idempotents:1,aaaa;center:1,aa,aaa,aab,bab,aaaa ab - - ab:bb=aa,aba=aa,baa=aab,aaab=aaa,aaaaa=aaa [00m00s] from: 2279 ab:bb=aa,aba=bb finite:10;idempotents:1,aaaa;center:1,aa,aaa,aab,bab,aaaa to: 2277 ab:bb=aa,aba=aa finite:10;idempotents:1,aaaa;center:1,aa,aaa,aab,bab,aaaa a=a,b=b [00m00s] # 2280 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [00m00s] 2280 ab:aaa=1,aaaaaa=1 infinite ab - - ab:aaa=1 [00m00s] from: 2280 ab:aaa=1,aaaaaa=1 infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [00m00s] # 2281 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:12us [00m00s] 2281 ab:aaa=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2281 ab:aaa=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2282 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:54,nodes:10,pairs:7,completionMax:25us [00m00s] 2282 ab:aaa=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2282 ab:aaa=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2283 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:56,nodes:16,pairs:5,completionMax:14us [00m00s] 2283 ab:aaa=1,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2283 ab:aaa=1,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2284 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:10,pairs:2,completionMax:5us [00m00s] 2284 ab:aaa=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2284 ab:aaa=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2285 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:101,nodes:12,pairs:8,completionMax:22us [00m00s] 2285 ab:aaa=1,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2285 ab:aaa=1,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2286 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:46,nodes:14,pairs:5,completionMax:24us [00m00s] 2286 ab:aaa=1,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2286 ab:aaa=1,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2287 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:10,pairs:0,completionMax:3us [00m00s] 2287 ab:aaa=1,aaabbb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] from: 2287 ab:aaa=1,aaabbb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [00m00s] # 2288 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:24,nodes:18,pairs:2,completionMax:9us [00m00s] 2288 ab:aaa=1,aabaab=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [00m00s] from: 2288 ab:aaa=1,aabaab=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [00m00s] # 2289 solved: rounds:7,rules:2,peak:5,longest:6,steps:3,word:3,work:297,nodes:18,pairs:26,completionMax:75us [00m00s] 2289 ab:aaa=1,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2289 ab:aaa=1,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2290 solved: rounds:4,rules:3,peak:6,longest:9,steps:20,word:54,work:2836,nodes:30,pairs:30,completionMax:128us [00m00s] 2290 ab:aaa=1,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [00m00s] from: 2290 ab:aaa=1,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [00m00s] # 2291 solved: rounds:4,rules:2,peak:6,longest:6,steps:2,word:3,work:205,nodes:18,pairs:26,completionMax:51us [00m00s] 2291 ab:aaa=1,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2291 ab:aaa=1,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2292 solved: rounds:5,rules:3,peak:8,longest:9,steps:8,word:6,work:1027,nodes:30,pairs:28,completionMax:130us [00m00s] 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [00m00s] # 2293 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:75,nodes:18,pairs:9,completionMax:24us [00m00s] 2293 ab:aaa=1,aabbba=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] from: 2293 ab:aaa=1,aabbba=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [00m00s] # 2294 solved: rounds:2,rules:2,peak:3,longest:12,steps:2,word:6,work:91,nodes:24,pairs:7,completionMax:24us [00m00s] 2294 ab:aaa=1,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [00m00s] from: 2294 ab:aaa=1,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [00m00s] # 2295 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:58,nodes:16,pairs:5,completionMax:16us [00m00s] 2295 ab:aaa=1,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2295 ab:aaa=1,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2296 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:156,nodes:22,pairs:7,completionMax:35us [00m00s] 2296 ab:aaa=1,abaaba=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [00m00s] from: 2296 ab:aaa=1,abaaba=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [00m00s] # 2297 solved: rounds:4,rules:3,peak:7,longest:48,steps:92,word:51,work:31921,nodes:140,pairs:103,completionMax:1717us [00m00s] 2297 ab:aaa=1,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [00m00s] from: 2297 ab:aaa=1,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [00m00s] # 2298 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:37,nodes:22,pairs:1,completionMax:11us [00m00s] 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [00m00s] # 2299 solved: rounds:5,rules:3,peak:8,longest:10,steps:395,word:2361,work:99667,nodes:24,pairs:63,completionMax:2847us [00m00s] 2299 ab:aaa=1,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [00m00s] from: 2299 ab:aaa=1,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [00m00s] # 2300 solved: rounds:4,rules:4,peak:8,longest:13,steps:8,word:9,work:2418,nodes:60,pairs:22,completionMax:148us [00m00s] 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [00m00s] # 2301 solved: rounds:5,rules:3,peak:8,longest:11,steps:16,word:48,work:2463,nodes:38,pairs:34,completionMax:127us [00m00s] 2301 ab:aaa=1,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [00m00s] from: 2301 ab:aaa=1,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [00m00s] # 2302 solved: rounds:4,rules:4,peak:5,longest:7,steps:3,word:0,work:372,nodes:30,pairs:9,completionMax:49us [00m00s] 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [00m00s] # 2303 solved: rounds:3,rules:4,peak:8,longest:13,steps:7,word:6,work:1830,nodes:64,pairs:19,completionMax:118us [00m00s] 2303 ab:aaa=1,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [00m00s] from: 2303 ab:aaa=1,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [00m00s] # 2304 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:207,nodes:26,pairs:11,completionMax:32us [00m00s] 2304 ab:aaa=1,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [00m00s] from: 2304 ab:aaa=1,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [00m00s] # 2305 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:9,work:116,nodes:40,pairs:5,completionMax:40us [00m00s] 2305 ab:aaa=1,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m00s] from: 2305 ab:aaa=1,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [00m00s] # 2306 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:102,nodes:12,pairs:8,completionMax:32us [00m00s] 2306 ab:aaa=1,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2306 ab:aaa=1,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2307 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:2us [00m00s] 2307 ab:aaa=1,baaabb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] from: 2307 ab:aaa=1,baaabb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [00m00s] # 2308 solved: rounds:4,rules:3,peak:17,longest:9,steps:11,word:12,work:9030,nodes:56,pairs:100,completionMax:525us [00m00s] 2308 ab:aaa=1,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [00m00s] from: 2308 ab:aaa=1,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [00m00s] # 2309 solved: rounds:4,rules:2,peak:6,longest:12,steps:5,word:6,work:1191,nodes:36,pairs:26,completionMax:129us [00m00s] 2309 ab:aaa=1,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [00m00s] from: 2309 ab:aaa=1,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [00m00s] # 2310 solved: rounds:5,rules:4,peak:7,longest:13,steps:11,word:6,work:3129,nodes:48,pairs:29,completionMax:204us [00m00s] 2310 ab:aaa=1,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [00m00s] from: 2310 ab:aaa=1,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [00m00s] # 2311 solved: rounds:3,rules:4,peak:6,longest:7,steps:3,word:0,work:436,nodes:32,pairs:14,completionMax:57us [00m00s] 2311 ab:aaa=1,babbab=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [00m00s] from: 2311 ab:aaa=1,babbab=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [00m00s] # 2312 solved: rounds:4,rules:2,peak:5,longest:15,steps:5,word:18,work:912,nodes:30,pairs:19,completionMax:67us [00m00s] 2312 ab:aaa=1,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m00s] from: 2312 ab:aaa=1,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [00m00s] # 2313 solved: rounds:4,rules:2,peak:7,longest:12,steps:9,word:6,work:1571,nodes:34,pairs:22,completionMax:131us [00m00s] 2313 ab:aaa=1,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [00m00s] from: 2313 ab:aaa=1,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [00m00s] # 2314 solved: rounds:5,rules:2,peak:8,longest:15,steps:6,word:9,work:1626,nodes:34,pairs:25,completionMax:126us [00m00s] 2314 ab:aaa=1,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m00s] from: 2314 ab:aaa=1,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [00m00s] # 2315 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:5us [00m00s] 2315 ab:aaa=1,bbbbbb=1 infinite;group:a-aa,b-bbbbb ab - - ab:aaa=1,bbbbbb=1 [00m00s] # 2316 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:3,work:8,nodes:12,pairs:2,completionMax:12us [00m00s] 2316 ab:aab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2316 ab:aab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2317 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:11,nodes:6,pairs:2,completionMax:8us [00m00s] 2317 ab:aab=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2317 ab:aab=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2318 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:7us [00m00s] 2318 ab:aab=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2318 ab:aab=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2319 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:0us [00m00s] 2319 ab:aab=1,aaaabb=1 infinite ab - - ab:aab=1 [00m00s] from: 2319 ab:aab=1,aaaabb=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 2320 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:6,pairs:2,completionMax:6us [00m00s] 2320 ab:aab=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2320 ab:aab=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2321 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [00m00s] 2321 ab:aab=1,aaabab=1 infinite ab - - ab:aab=1 [00m00s] from: 2321 ab:aab=1,aaabab=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 2322 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:21,nodes:10,pairs:1,completionMax:8us [00m00s] 2322 ab:aab=1,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2322 ab:aab=1,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2323 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:3,completionMax:9us [00m00s] 2323 ab:aab=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2323 ab:aab=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2324 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:5us [00m00s] 2324 ab:aab=1,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2324 ab:aab=1,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2325 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m00s] 2325 ab:aab=1,aabaab=1 infinite ab - - ab:aab=1 [00m00s] from: 2325 ab:aab=1,aabaab=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [00m00s] # 2326 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:8us [00m00s] 2326 ab:aab=1,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2326 ab:aab=1,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2327 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:8,pairs:3,completionMax:10us [00m00s] 2327 ab:aab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2327 ab:aab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2328 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:7us [00m00s] 2328 ab:aab=1,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2328 ab:aab=1,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2329 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:49,nodes:10,pairs:8,completionMax:20us [00m00s] 2329 ab:aab=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2329 ab:aab=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2330 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:66,nodes:10,pairs:8,completionMax:26us [00m00s] 2330 ab:aab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2330 ab:aab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2331 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:46,nodes:14,pairs:5,completionMax:16us [00m00s] 2331 ab:aab=1,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2331 ab:aab=1,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2332 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:312,nodes:18,pairs:19,completionMax:64us [00m00s] 2332 ab:aab=1,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2332 ab:aab=1,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2333 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:10,pairs:1,completionMax:5us [00m00s] 2333 ab:aab=1,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2333 ab:aab=1,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2334 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:10,pairs:1,completionMax:5us [00m00s] 2334 ab:aab=1,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2334 ab:aab=1,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2335 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:3,completionMax:8us [00m00s] 2335 ab:aab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2335 ab:aab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2336 solved: rounds:1,rules:2,peak:5,longest:6,steps:4,word:0,work:212,nodes:16,pairs:4,completionMax:25us [00m00s] 2336 ab:aab=1,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2336 ab:aab=1,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2337 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:56,nodes:14,pairs:9,completionMax:21us [00m00s] 2337 ab:aab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2337 ab:aab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2338 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:251,nodes:18,pairs:16,completionMax:35us [00m00s] 2338 ab:aab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2338 ab:aab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2339 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:60,nodes:16,pairs:7,completionMax:20us [00m00s] 2339 ab:aab=1,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2339 ab:aab=1,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2340 solved: rounds:1,rules:2,peak:5,longest:6,steps:5,word:0,work:228,nodes:20,pairs:4,completionMax:19us [00m00s] 2340 ab:aab=1,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2340 ab:aab=1,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2341 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:3,completionMax:5us [00m00s] 2341 ab:aab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2341 ab:aab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2342 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:353,nodes:20,pairs:15,completionMax:34us [00m00s] 2342 ab:aab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2342 ab:aab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2343 solved: rounds:4,rules:2,peak:5,longest:7,steps:2,word:3,work:144,nodes:20,pairs:15,completionMax:45us [00m00s] 2343 ab:aab=1,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2343 ab:aab=1,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2344 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:293,nodes:20,pairs:15,completionMax:36us [00m00s] 2344 ab:aab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2344 ab:aab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2345 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:3,work:324,nodes:20,pairs:27,completionMax:68us [00m00s] 2345 ab:aab=1,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2345 ab:aab=1,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2346 solved: rounds:4,rules:2,peak:6,longest:8,steps:7,word:6,work:517,nodes:22,pairs:21,completionMax:54us [00m00s] 2346 ab:aab=1,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2346 ab:aab=1,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2347 solved: rounds:5,rules:2,peak:5,longest:9,steps:6,word:6,work:314,nodes:20,pairs:15,completionMax:61us [00m00s] 2347 ab:aab=1,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2347 ab:aab=1,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2348 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:299,nodes:20,pairs:13,completionMax:44us [00m00s] 2348 ab:aab=1,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2348 ab:aab=1,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2349 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:10,pairs:1,completionMax:8us [00m00s] 2349 ab:aab=1,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2349 ab:aab=1,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2350 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:10,pairs:1,completionMax:7us [00m00s] 2350 ab:aab=1,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2350 ab:aab=1,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2351 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:51,nodes:10,pairs:8,completionMax:23us [00m00s] 2351 ab:aab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2351 ab:aab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2352 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:21,nodes:10,pairs:1,completionMax:3us [00m00s] 2352 ab:aab=1,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2352 ab:aab=1,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2353 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:50,nodes:10,pairs:8,completionMax:20us [00m00s] 2353 ab:aab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2353 ab:aab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2354 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:67,nodes:10,pairs:8,completionMax:15us [00m00s] 2354 ab:aab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2354 ab:aab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2355 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:47,nodes:14,pairs:5,completionMax:20us [00m00s] 2355 ab:aab=1,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2355 ab:aab=1,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2356 solved: rounds:1,rules:2,peak:5,longest:6,steps:6,word:0,work:291,nodes:22,pairs:3,completionMax:21us [00m00s] 2356 ab:aab=1,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2356 ab:aab=1,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2357 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:52,nodes:10,pairs:8,completionMax:17us [00m00s] 2357 ab:aab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2357 ab:aab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2358 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:328,nodes:22,pairs:17,completionMax:52us [00m00s] 2358 ab:aab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2358 ab:aab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2359 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:3,work:506,nodes:28,pairs:14,completionMax:80us [00m00s] 2359 ab:aab=1,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2359 ab:aab=1,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2360 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:349,nodes:22,pairs:16,completionMax:46us [00m00s] 2360 ab:aab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2360 ab:aab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2361 solved: rounds:4,rules:2,peak:7,longest:9,steps:2,word:6,work:679,nodes:26,pairs:34,completionMax:98us [00m00s] 2361 ab:aab=1,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2361 ab:aab=1,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2362 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:3,work:671,nodes:28,pairs:37,completionMax:108us [00m00s] 2362 ab:aab=1,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2362 ab:aab=1,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2363 solved: rounds:5,rules:2,peak:7,longest:9,steps:4,word:6,work:687,nodes:24,pairs:30,completionMax:104us [00m00s] 2363 ab:aab=1,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2363 ab:aab=1,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2364 solved: rounds:1,rules:2,peak:5,longest:6,steps:4,word:0,work:139,nodes:22,pairs:3,completionMax:14us [00m00s] 2364 ab:aab=1,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2364 ab:aab=1,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2365 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:69,nodes:10,pairs:8,completionMax:11us [00m00s] 2365 ab:aab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2365 ab:aab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2366 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:68,nodes:10,pairs:8,completionMax:14us [00m00s] 2366 ab:aab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2366 ab:aab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2367 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:48,nodes:14,pairs:5,completionMax:27us [00m00s] 2367 ab:aab=1,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2367 ab:aab=1,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2368 solved: rounds:3,rules:2,peak:5,longest:6,steps:6,word:0,work:306,nodes:22,pairs:15,completionMax:40us [00m00s] 2368 ab:aab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2368 ab:aab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2369 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:3,work:394,nodes:26,pairs:15,completionMax:66us [00m00s] 2369 ab:aab=1,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2369 ab:aab=1,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2370 solved: rounds:4,rules:2,peak:8,longest:6,steps:2,word:3,work:496,nodes:22,pairs:44,completionMax:124us [00m00s] 2370 ab:aab=1,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2370 ab:aab=1,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2371 solved: rounds:5,rules:2,peak:8,longest:9,steps:6,word:6,work:913,nodes:24,pairs:38,completionMax:220us [00m00s] 2371 ab:aab=1,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2371 ab:aab=1,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2372 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:231,nodes:20,pairs:12,completionMax:42us [00m00s] 2372 ab:aab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2372 ab:aab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2373 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:49,nodes:14,pairs:5,completionMax:12us [00m00s] 2373 ab:aab=1,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2373 ab:aab=1,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2374 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:3,work:258,nodes:22,pairs:18,completionMax:59us [00m00s] 2374 ab:aab=1,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2374 ab:aab=1,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2375 solved: rounds:5,rules:2,peak:8,longest:9,steps:7,word:6,work:913,nodes:22,pairs:39,completionMax:160us [00m00s] 2375 ab:aab=1,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2375 ab:aab=1,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2376 solved: rounds:2,rules:2,peak:8,longest:10,steps:17,word:9,work:1333,nodes:30,pairs:16,completionMax:97us [00m00s] 2376 ab:aab=1,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2376 ab:aab=1,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2377 solved: rounds:5,rules:2,peak:7,longest:9,steps:6,word:6,work:702,nodes:18,pairs:38,completionMax:102us [00m00s] 2377 ab:aab=1,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2377 ab:aab=1,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2378 solved: rounds:5,rules:2,peak:7,longest:9,steps:5,word:6,work:676,nodes:18,pairs:32,completionMax:102us [00m00s] 2378 ab:aab=1,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2378 ab:aab=1,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2379 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:9,work:542,nodes:24,pairs:20,completionMax:108us [00m00s] 2379 ab:aab=1,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [00m00s] from: 2379 ab:aab=1,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [00m00s] # 2380 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:83,nodes:16,pairs:7,completionMax:15us [00m00s] 2380 ab:aba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2380 ab:aba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2381 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:134,nodes:16,pairs:14,completionMax:40us [00m00s] 2381 ab:aba=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2381 ab:aba=1,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2382 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:57,nodes:10,pairs:7,completionMax:7us [00m00s] 2382 ab:aba=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2382 ab:aba=1,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2383 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:18,pairs:8,completionMax:18us [00m00s] 2383 ab:aba=1,aaaabb=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2383 ab:aba=1,aaaabb=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2384 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:7,completionMax:10us [00m00s] 2384 ab:aba=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2384 ab:aba=1,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2385 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:10,pairs:1,completionMax:9us [00m00s] 2385 ab:aba=1,aaabab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2385 ab:aba=1,aaabab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2386 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:98,nodes:16,pairs:9,completionMax:26us [00m00s] 2386 ab:aba=1,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2386 ab:aba=1,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2387 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:183,nodes:20,pairs:15,completionMax:30us [00m00s] 2387 ab:aba=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2387 ab:aba=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2388 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:21,nodes:10,pairs:1,completionMax:9us [00m00s] 2388 ab:aba=1,aabaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2388 ab:aba=1,aabaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2389 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:3us [00m00s] 2389 ab:aba=1,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2389 ab:aba=1,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2390 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:8,pairs:6,completionMax:11us [00m00s] 2390 ab:aba=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2390 ab:aba=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2391 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:104,nodes:16,pairs:6,completionMax:27us [00m00s] 2391 ab:aba=1,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2391 ab:aba=1,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2392 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:145,nodes:16,pairs:14,completionMax:28us [00m00s] 2392 ab:aba=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2392 ab:aba=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2393 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:287,nodes:16,pairs:20,completionMax:46us [00m00s] 2393 ab:aba=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2393 ab:aba=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2394 solved: rounds:3,rules:2,peak:7,longest:8,steps:17,word:6,work:877,nodes:24,pairs:16,completionMax:65us [00m00s] 2394 ab:aba=1,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2394 ab:aba=1,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2395 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:4us [00m00s] 2395 ab:aba=1,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2395 ab:aba=1,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2396 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:2,completionMax:5us [00m00s] 2396 ab:aba=1,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2396 ab:aba=1,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2397 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:55,nodes:8,pairs:6,completionMax:10us [00m00s] 2397 ab:aba=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2397 ab:aba=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2398 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:10,pairs:7,completionMax:8us [00m00s] 2398 ab:aba=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2398 ab:aba=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2399 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:76,nodes:10,pairs:7,completionMax:22us [00m00s] 2399 ab:aba=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2399 ab:aba=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2400 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:101,nodes:12,pairs:8,completionMax:40us [00m00s] 2400 ab:aba=1,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2400 ab:aba=1,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2401 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:156,nodes:18,pairs:13,completionMax:44us [00m00s] 2401 ab:aba=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2401 ab:aba=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2402 solved: rounds:3,rules:2,peak:7,longest:8,steps:17,word:6,work:928,nodes:24,pairs:15,completionMax:62us [00m00s] 2402 ab:aba=1,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2402 ab:aba=1,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2403 solved: rounds:4,rules:2,peak:6,longest:8,steps:7,word:6,work:472,nodes:22,pairs:20,completionMax:67us [00m00s] 2403 ab:aba=1,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2403 ab:aba=1,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2404 solved: rounds:6,rules:2,peak:4,longest:6,steps:5,word:3,work:326,nodes:20,pairs:18,completionMax:57us [00m00s] 2404 ab:aba=1,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2404 ab:aba=1,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2405 solved: rounds:5,rules:2,peak:5,longest:9,steps:7,word:6,work:811,nodes:20,pairs:15,completionMax:75us [00m00s] 2405 ab:aba=1,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2405 ab:aba=1,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2406 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:86,nodes:20,pairs:7,completionMax:19us [00m00s] 2406 ab:aba=1,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2406 ab:aba=1,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2407 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:150,nodes:20,pairs:14,completionMax:25us [00m00s] 2407 ab:aba=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2407 ab:aba=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2408 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:26,nodes:10,pairs:7,completionMax:16us [00m00s] 2408 ab:aba=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2408 ab:aba=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2409 solved: rounds:4,rules:2,peak:4,longest:6,steps:10,word:3,work:369,nodes:20,pairs:16,completionMax:43us [00m00s] 2409 ab:aba=1,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2409 ab:aba=1,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2410 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:102,nodes:12,pairs:8,completionMax:21us [00m00s] 2410 ab:aba=1,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2410 ab:aba=1,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2411 solved: rounds:4,rules:2,peak:4,longest:6,steps:8,word:3,work:297,nodes:20,pairs:16,completionMax:40us [00m00s] 2411 ab:aba=1,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2411 ab:aba=1,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2412 solved: rounds:5,rules:2,peak:4,longest:9,steps:6,word:6,work:427,nodes:20,pairs:17,completionMax:39us [00m00s] 2412 ab:aba=1,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2412 ab:aba=1,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2413 solved: rounds:5,rules:2,peak:4,longest:6,steps:7,word:3,work:223,nodes:16,pairs:12,completionMax:34us [00m00s] 2413 ab:aba=1,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2413 ab:aba=1,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2414 solved: rounds:7,rules:2,peak:4,longest:9,steps:7,word:6,work:506,nodes:18,pairs:15,completionMax:43us [00m00s] 2414 ab:aba=1,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2414 ab:aba=1,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2415 solved: rounds:8,rules:2,peak:4,longest:12,steps:9,word:9,work:981,nodes:24,pairs:13,completionMax:85us [00m00s] 2415 ab:aba=1,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [00m00s] from: 2415 ab:aba=1,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [00m00s] # 2416 solved: rounds:1,rules:1,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:2,completionMax:8us [00m00s] 2416 ab:aaa=1,aaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 2416 ab:aaa=1,aaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 2417 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:7us [00m00s] 2417 ab:aaa=1,aaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 2417 ab:aaa=1,aaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 2418 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:12us [00m00s] 2418 ab:aaa=1,aaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2418 ab:aaa=1,aaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 2419 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:8us [00m00s] 2419 ab:aaa=1,aaaab=b infinite ab - - ab:ab=b,aaa=1 [00m00s] from: 2419 ab:aaa=1,aaaab=b infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [00m00s] # 2420 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:4us [00m00s] 2420 ab:aaa=1,aaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2420 ab:aaa=1,aaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 2421 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:6us [00m00s] 2421 ab:aaa=1,aaaba=b infinite ab - - ab:ba=b,aaa=1 [00m00s] from: 2421 ab:aaa=1,aaaba=b infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [00m00s] # 2422 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:43,nodes:12,pairs:3,completionMax:17us [00m00s] 2422 ab:aaa=1,aaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 2422 ab:aaa=1,aaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 2423 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:10us [00m00s] 2423 ab:aaa=1,aaabb=b infinite ab - - ab:bb=b,aaa=1 [00m00s] from: 2423 ab:aaa=1,aaabb=b infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [00m00s] # 2424 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:119,nodes:14,pairs:12,completionMax:64us [00m00s] 2424 ab:aaa=1,aabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2424 ab:aaa=1,aabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 2425 solved: rounds:1,rules:2,peak:3,longest:5,steps:6,word:2,work:108,nodes:10,pairs:6,completionMax:17us [00m00s] 2425 ab:aaa=1,aabaa=b infinite a/b - - ab:aaa=1,ab=baa [00m00s] from: 2425 ab:aaa=1,aabaa=b infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [00m00s] # 2426 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:14,pairs:2,completionMax:10us [00m00s] 2426 ab:aaa=1,aabab=a infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] from: 2426 ab:aaa=1,aabab=a infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [00m00s] # 2427 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:97,nodes:14,pairs:6,completionMax:24us [00m00s] 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [00m00s] # 2428 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:2,work:197,nodes:22,pairs:14,completionMax:46us [00m00s] 2428 ab:aaa=1,aabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 2428 ab:aaa=1,aabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 2429 solved: rounds:4,rules:3,peak:4,longest:9,steps:11,word:3,work:340,nodes:34,pairs:8,completionMax:32us [00m00s] 2429 ab:aaa=1,aabba=b finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [00m00s] from: 2429 ab:aaa=1,aabba=b finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [00m00s] # 2430 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:89,nodes:24,pairs:7,completionMax:37us [00m00s] 2430 ab:aaa=1,aabbb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2430 ab:aaa=1,aabbb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2431 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:2,work:37,nodes:18,pairs:3,completionMax:13us [00m00s] 2431 ab:aaa=1,aabbb=b finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [00m00s] from: 2431 ab:aaa=1,aabbb=b finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [00m00s] # 2432 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:2,work:210,nodes:24,pairs:12,completionMax:42us [00m00s] 2432 ab:aaa=1,abaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 2432 ab:aaa=1,abaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 2433 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:204,nodes:18,pairs:9,completionMax:30us [00m00s] 2433 ab:aaa=1,abaab=b finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [00m00s] from: 2433 ab:aaa=1,abaab=b finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [00m00s] # 2434 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:63,nodes:18,pairs:4,completionMax:19us [00m00s] 2434 ab:aaa=1,ababa=a infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [00m00s] from: 2434 ab:aaa=1,ababa=a infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [00m00s] # 2435 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:462,nodes:22,pairs:10,completionMax:38us [00m00s] 2435 ab:aaa=1,ababa=b finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaa=1 [00m00s] # 2436 solved: rounds:6,rules:2,peak:4,longest:9,steps:4,word:5,work:235,nodes:18,pairs:12,completionMax:20us [00m00s] 2436 ab:aaa=1,ababb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2436 ab:aaa=1,ababb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2437 solved: rounds:3,rules:4,peak:4,longest:6,steps:2,word:0,work:130,nodes:18,pairs:5,completionMax:10us [00m00s] 2437 ab:aaa=1,ababb=b infinite ab - - ab:aaa=1,babb=aab,babab=b,babaab=ab [00m00s] # 2438 solved: rounds:5,rules:2,peak:5,longest:9,steps:6,word:5,work:353,nodes:20,pairs:19,completionMax:107us [00m00s] 2438 ab:aaa=1,abbab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2438 ab:aaa=1,abbab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2439 solved: rounds:2,rules:3,peak:5,longest:7,steps:3,word:2,work:224,nodes:20,pairs:8,completionMax:76us [00m00s] 2439 ab:aaa=1,abbab=b finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [00m00s] from: 2439 ab:aaa=1,abbab=b finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [00m00s] # 2440 solved: rounds:4,rules:2,peak:5,longest:9,steps:4,word:5,work:143,nodes:18,pairs:11,completionMax:21us [00m00s] 2440 ab:aaa=1,abbba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2440 ab:aaa=1,abbba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2441 solved: rounds:4,rules:9,peak:12,longest:27,steps:13,word:19,work:10866,nodes:162,pairs:37,completionMax:805us [00m00s] 2441 ab:aaa=1,abbba=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb,aaa=1 [00m00s] # 2442 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:3,nodes:18,pairs:1,completionMax:27us [00m00s] 2442 ab:aaa=1,abbbb=a infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [00m00s] from: 2442 ab:aaa=1,abbbb=a infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [00m00s] # 2443 solved: rounds:3,rules:3,peak:4,longest:10,steps:1,word:5,work:68,nodes:24,pairs:5,completionMax:45us [00m00s] 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [00m00s] # 2444 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:44,nodes:12,pairs:3,completionMax:24us [00m00s] 2444 ab:aaa=1,baaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 2444 ab:aaa=1,baaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 2445 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:6us [00m00s] 2445 ab:aaa=1,baaab=b infinite ab - - ab:bb=b,aaa=1 [00m00s] from: 2445 ab:aaa=1,baaab=b infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [00m00s] # 2446 solved: rounds:3,rules:2,peak:6,longest:9,steps:9,word:10,work:799,nodes:32,pairs:11,completionMax:133us [00m00s] 2446 ab:aaa=1,baabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2446 ab:aaa=1,baabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2447 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:14us [00m00s] 2447 ab:aaa=1,baabb=b infinite ab - - ab:aaa=1,baabb=b [00m00s] # 2448 solved: rounds:5,rules:2,peak:6,longest:9,steps:5,word:5,work:402,nodes:22,pairs:19,completionMax:122us [00m00s] 2448 ab:aaa=1,babab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [00m00s] from: 2448 ab:aaa=1,babab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [00m00s] # 2449 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:15us [00m00s] 2449 ab:aaa=1,babab=b infinite ab - - ab:aaa=1,babab=b [00m00s] # 2450 solved: rounds:5,rules:3,peak:15,longest:30,steps:18,word:44,work:19999,nodes:114,pairs:85,completionMax:1103us [00m00s] 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [00m00s] # 2451 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:8us [00m00s] 2451 ab:aaa=1,babbb=b infinite ab - - ab:aaa=1,babbb=b [00m00s] # 2452 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:277,nodes:16,pairs:6,completionMax:63us [00m00s] 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [00m00s] # 2453 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:171,nodes:18,pairs:5,completionMax:34us [00m00s] 2453 ab:aaa=1,bbabb=b infinite ab - - ab:aaa=1,bbab=babb,babbb=b [00m00s] # 2454 solved: rounds:1,rules:2,peak:2,longest:15,steps:2,word:8,work:82,nodes:30,pairs:3,completionMax:46us [00m00s] 2454 ab:aaa=1,bbbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [00m00s] from: 2454 ab:aaa=1,bbbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [00m00s] # 2455 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:6us [00m00s] 2455 ab:aaa=1,bbbbb=b infinite ab - - ab:aaa=1,bbbbb=b [00m00s] # 2456 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:46,nodes:10,pairs:4,completionMax:64us [00m00s] 2456 ab:aab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2456 ab:aab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2457 solved: rounds:1,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:14,pairs:1,completionMax:5us [00m00s] 2457 ab:aab=1,aaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2457 ab:aab=1,aaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2458 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:6,pairs:4,completionMax:7us [00m00s] 2458 ab:aab=1,aaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2458 ab:aab=1,aaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2459 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:6us [00m00s] 2459 ab:aab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2459 ab:aab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2460 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:6,pairs:4,completionMax:11us [00m00s] 2460 ab:aab=1,aaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2460 ab:aab=1,aaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2461 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:10us [00m00s] 2461 ab:aab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2461 ab:aab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2462 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:6us [00m00s] 2462 ab:aab=1,aaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2462 ab:aab=1,aaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2463 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:4us [00m00s] 2463 ab:aab=1,aaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2463 ab:aab=1,aaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2464 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:6,pairs:4,completionMax:13us [00m00s] 2464 ab:aab=1,aabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2464 ab:aab=1,aabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2465 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:8,pairs:1,completionMax:6us [00m00s] 2465 ab:aab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2465 ab:aab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2466 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:2,completionMax:7us [00m00s] 2466 ab:aab=1,aabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2466 ab:aab=1,aabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2467 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:2us [00m00s] 2467 ab:aab=1,aabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2467 ab:aab=1,aabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2468 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:8,pairs:4,completionMax:17us [00m00s] 2468 ab:aab=1,aabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2468 ab:aab=1,aabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2469 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:24,nodes:8,pairs:4,completionMax:10us [00m00s] 2469 ab:aab=1,aabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2469 ab:aab=1,aabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2470 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:16,nodes:10,pairs:4,completionMax:11us [00m00s] 2470 ab:aab=1,aabbb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2470 ab:aab=1,aabbb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2471 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:6us [00m00s] 2471 ab:aab=1,aabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2471 ab:aab=1,aabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2472 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:147,nodes:12,pairs:17,completionMax:48us [00m00s] 2472 ab:aab=1,abaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2472 ab:aab=1,abaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2473 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:2,work:408,nodes:26,pairs:16,completionMax:72us [00m00s] 2473 ab:aab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2473 ab:aab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2474 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:6us [00m00s] 2474 ab:aab=1,abaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2474 ab:aab=1,abaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2475 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:4us [00m00s] 2475 ab:aab=1,abaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2475 ab:aab=1,abaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2476 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:104,nodes:12,pairs:10,completionMax:40us [00m00s] 2476 ab:aab=1,ababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2476 ab:aab=1,ababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2477 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:275,nodes:18,pairs:19,completionMax:63us [00m00s] 2477 ab:aab=1,ababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2477 ab:aab=1,ababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2478 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:66,nodes:14,pairs:5,completionMax:17us [00m00s] 2478 ab:aab=1,ababb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2478 ab:aab=1,ababb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2479 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:12,pairs:4,completionMax:15us [00m00s] 2479 ab:aab=1,ababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2479 ab:aab=1,ababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2480 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:134,nodes:16,pairs:13,completionMax:54us [00m00s] 2480 ab:aab=1,abbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2480 ab:aab=1,abbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2481 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:433,nodes:18,pairs:23,completionMax:75us [00m00s] 2481 ab:aab=1,abbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2481 ab:aab=1,abbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2482 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:4,work:267,nodes:18,pairs:18,completionMax:24us [00m00s] 2482 ab:aab=1,abbab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2482 ab:aab=1,abbab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2483 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:108,nodes:16,pairs:11,completionMax:31us [00m00s] 2483 ab:aab=1,abbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2483 ab:aab=1,abbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2484 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:2,work:213,nodes:20,pairs:16,completionMax:37us [00m00s] 2484 ab:aab=1,abbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2484 ab:aab=1,abbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2485 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:293,nodes:20,pairs:19,completionMax:32us [00m00s] 2485 ab:aab=1,abbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2485 ab:aab=1,abbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2486 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:97,nodes:16,pairs:13,completionMax:38us [00m00s] 2486 ab:aab=1,abbbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2486 ab:aab=1,abbbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2487 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:2,work:176,nodes:16,pairs:14,completionMax:54us [00m00s] 2487 ab:aab=1,abbbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2487 ab:aab=1,abbbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2488 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:234,nodes:18,pairs:23,completionMax:47us [00m00s] 2488 ab:aab=1,baaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2488 ab:aab=1,baaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2489 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:111,nodes:16,pairs:7,completionMax:32us [00m00s] 2489 ab:aab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2489 ab:aab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2490 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:33,nodes:8,pairs:4,completionMax:14us [00m00s] 2490 ab:aab=1,baaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2490 ab:aab=1,baaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2491 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:26,nodes:8,pairs:4,completionMax:9us [00m00s] 2491 ab:aab=1,baaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2491 ab:aab=1,baaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2492 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:6us [00m00s] 2492 ab:aab=1,baaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2492 ab:aab=1,baaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2493 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:25,nodes:8,pairs:4,completionMax:4us [00m00s] 2493 ab:aab=1,baaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2493 ab:aab=1,baaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2494 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:17,nodes:10,pairs:4,completionMax:14us [00m00s] 2494 ab:aab=1,baabb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2494 ab:aab=1,baabb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2495 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:9us [00m00s] 2495 ab:aab=1,baabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2495 ab:aab=1,baabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2496 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:131,nodes:18,pairs:18,completionMax:34us [00m00s] 2496 ab:aab=1,babaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2496 ab:aab=1,babaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2497 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:298,nodes:20,pairs:24,completionMax:79us [00m00s] 2497 ab:aab=1,babaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2497 ab:aab=1,babaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2498 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:120,nodes:14,pairs:12,completionMax:25us [00m00s] 2498 ab:aab=1,babab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2498 ab:aab=1,babab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2499 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:30,nodes:18,pairs:5,completionMax:19us [00m00s] 2499 ab:aab=1,babab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2499 ab:aab=1,babab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2500 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:440,nodes:22,pairs:24,completionMax:63us [00m00s] 2500 ab:aab=1,babba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2500 ab:aab=1,babba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2501 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:411,nodes:22,pairs:24,completionMax:64us [00m00s] 2501 ab:aab=1,babba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2501 ab:aab=1,babba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2502 solved: rounds:3,rules:2,peak:7,longest:8,steps:5,word:5,work:568,nodes:20,pairs:30,completionMax:83us [00m00s] 2502 ab:aab=1,babbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2502 ab:aab=1,babbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2503 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:51,nodes:18,pairs:6,completionMax:22us [00m00s] 2503 ab:aab=1,babbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2503 ab:aab=1,babbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2504 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:0,work:200,nodes:20,pairs:23,completionMax:54us [00m00s] 2504 ab:aab=1,bbaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2504 ab:aab=1,bbaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2505 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:300,nodes:18,pairs:23,completionMax:36us [00m00s] 2505 ab:aab=1,bbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2505 ab:aab=1,bbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2506 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:18,nodes:10,pairs:4,completionMax:11us [00m00s] 2506 ab:aab=1,bbaab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2506 ab:aab=1,bbaab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2507 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:9us [00m00s] 2507 ab:aab=1,bbaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2507 ab:aab=1,bbaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2508 solved: rounds:4,rules:2,peak:10,longest:6,steps:2,word:2,work:653,nodes:22,pairs:45,completionMax:146us [00m00s] 2508 ab:aab=1,bbaba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2508 ab:aab=1,bbaba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2509 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:88,nodes:18,pairs:12,completionMax:21us [00m00s] 2509 ab:aab=1,bbaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2509 ab:aab=1,bbaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2510 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:5,work:462,nodes:28,pairs:21,completionMax:68us [00m00s] 2510 ab:aab=1,bbabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2510 ab:aab=1,bbabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2511 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:2,work:318,nodes:18,pairs:21,completionMax:37us [00m00s] 2511 ab:aab=1,bbabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2511 ab:aab=1,bbabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2512 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:2,work:356,nodes:20,pairs:24,completionMax:35us [00m00s] 2512 ab:aab=1,bbbaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2512 ab:aab=1,bbbaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2513 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:279,nodes:16,pairs:18,completionMax:32us [00m00s] 2513 ab:aab=1,bbbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2513 ab:aab=1,bbbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2514 solved: rounds:3,rules:2,peak:9,longest:8,steps:3,word:5,work:625,nodes:20,pairs:39,completionMax:88us [00m00s] 2514 ab:aab=1,bbbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2514 ab:aab=1,bbbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2515 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:2,work:117,nodes:16,pairs:17,completionMax:30us [00m00s] 2515 ab:aab=1,bbbab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2515 ab:aab=1,bbbab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2516 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:5,work:290,nodes:24,pairs:21,completionMax:84us [00m00s] 2516 ab:aab=1,bbbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2516 ab:aab=1,bbbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2517 solved: rounds:3,rules:2,peak:8,longest:5,steps:6,word:2,work:814,nodes:16,pairs:37,completionMax:94us [00m00s] 2517 ab:aab=1,bbbba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2517 ab:aab=1,bbbba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2518 solved: rounds:5,rules:2,peak:4,longest:11,steps:7,word:8,work:557,nodes:22,pairs:20,completionMax:64us [00m00s] 2518 ab:aab=1,bbbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [00m00s] from: 2518 ab:aab=1,bbbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 2519 solved: rounds:5,rules:2,peak:4,longest:8,steps:2,word:5,work:127,nodes:16,pairs:14,completionMax:52us [00m00s] 2519 ab:aab=1,bbbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2519 ab:aab=1,bbbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2520 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:1,work:116,nodes:12,pairs:8,completionMax:28us [00m00s] 2520 ab:aba=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2520 ab:aba=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2521 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:4,work:3,nodes:14,pairs:1,completionMax:10us [00m00s] 2521 ab:aba=1,aaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2521 ab:aba=1,aaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2522 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:163,nodes:14,pairs:16,completionMax:29us [00m00s] 2522 ab:aba=1,aaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2522 ab:aba=1,aaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2523 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:80,nodes:14,pairs:10,completionMax:27us [00m00s] 2523 ab:aba=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2523 ab:aba=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2524 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:26,nodes:6,pairs:5,completionMax:10us [00m00s] 2524 ab:aba=1,aaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2524 ab:aba=1,aaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2525 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:8,nodes:8,pairs:1,completionMax:7us [00m00s] 2525 ab:aba=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2525 ab:aba=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2526 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:90,nodes:16,pairs:8,completionMax:18us [00m00s] 2526 ab:aba=1,aaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2526 ab:aba=1,aaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2527 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:101,nodes:16,pairs:13,completionMax:21us [00m00s] 2527 ab:aba=1,aaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2527 ab:aba=1,aaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2528 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:6,pairs:5,completionMax:10us [00m00s] 2528 ab:aba=1,aabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2528 ab:aba=1,aabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2529 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:7,nodes:8,pairs:1,completionMax:5us [00m00s] 2529 ab:aba=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2529 ab:aba=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2530 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:6,pairs:3,completionMax:5us [00m00s] 2530 ab:aba=1,aabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2530 ab:aba=1,aabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2531 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:6,pairs:5,completionMax:7us [00m00s] 2531 ab:aba=1,aabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2531 ab:aba=1,aabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2532 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:81,nodes:14,pairs:7,completionMax:25us [00m00s] 2532 ab:aba=1,aabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2532 ab:aba=1,aabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2533 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:183,nodes:14,pairs:16,completionMax:67us [00m00s] 2533 ab:aba=1,aabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2533 ab:aba=1,aabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2534 solved: rounds:5,rules:2,peak:4,longest:5,steps:6,word:2,work:253,nodes:18,pairs:12,completionMax:50us [00m00s] 2534 ab:aba=1,aabbb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2534 ab:aba=1,aabbb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2535 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:127,nodes:16,pairs:11,completionMax:36us [00m00s] 2535 ab:aba=1,aabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2535 ab:aba=1,aabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2536 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:6,pairs:3,completionMax:6us [00m00s] 2536 ab:aba=1,abaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2536 ab:aba=1,abaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2537 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:6,pairs:5,completionMax:13us [00m00s] 2537 ab:aba=1,abaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2537 ab:aba=1,abaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2538 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:3,completionMax:5us [00m00s] 2538 ab:aba=1,ababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2538 ab:aba=1,ababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2539 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:8,pairs:5,completionMax:9us [00m00s] 2539 ab:aba=1,ababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2539 ab:aba=1,ababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2540 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:36,nodes:12,pairs:4,completionMax:19us [00m00s] 2540 ab:aba=1,ababb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2540 ab:aba=1,ababb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2541 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:3,completionMax:11us [00m00s] 2541 ab:aba=1,ababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2541 ab:aba=1,ababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2542 solved: rounds:2,rules:2,peak:6,longest:10,steps:13,word:6,work:475,nodes:30,pairs:17,completionMax:71us [00m00s] 2542 ab:aba=1,abbab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2542 ab:aba=1,abbab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2543 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:126,nodes:12,pairs:11,completionMax:41us [00m00s] 2543 ab:aba=1,abbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2543 ab:aba=1,abbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2544 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:2,work:220,nodes:16,pairs:13,completionMax:37us [00m00s] 2544 ab:aba=1,abbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2544 ab:aba=1,abbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2545 solved: rounds:4,rules:2,peak:4,longest:5,steps:6,word:0,work:215,nodes:12,pairs:13,completionMax:33us [00m00s] 2545 ab:aba=1,abbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2545 ab:aba=1,abbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2546 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:292,nodes:16,pairs:12,completionMax:66us [00m00s] 2546 ab:aba=1,abbbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2546 ab:aba=1,abbbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2547 solved: rounds:4,rules:2,peak:5,longest:5,steps:5,word:2,work:407,nodes:16,pairs:16,completionMax:45us [00m00s] 2547 ab:aba=1,abbbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2547 ab:aba=1,abbbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2548 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:88,nodes:16,pairs:17,completionMax:18us [00m00s] 2548 ab:aba=1,baaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2548 ab:aba=1,baaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2549 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:75,nodes:16,pairs:16,completionMax:23us [00m00s] 2549 ab:aba=1,baaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2549 ab:aba=1,baaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2550 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:4,work:270,nodes:16,pairs:17,completionMax:48us [00m00s] 2550 ab:aba=1,baabb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2550 ab:aba=1,baabb=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2551 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:94,nodes:14,pairs:7,completionMax:43us [00m00s] 2551 ab:aba=1,baabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2551 ab:aba=1,baabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2552 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:37,nodes:12,pairs:4,completionMax:24us [00m00s] 2552 ab:aba=1,babab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2552 ab:aba=1,babab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2553 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:3,completionMax:18us [00m00s] 2553 ab:aba=1,babab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2553 ab:aba=1,babab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2554 solved: rounds:4,rules:2,peak:6,longest:12,steps:8,word:10,work:636,nodes:30,pairs:18,completionMax:77us [00m00s] 2554 ab:aba=1,babbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2554 ab:aba=1,babbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2555 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:4,work:490,nodes:22,pairs:14,completionMax:66us [00m00s] 2555 ab:aba=1,babbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2555 ab:aba=1,babbb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2556 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:298,nodes:16,pairs:13,completionMax:53us [00m00s] 2556 ab:aba=1,bbabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2556 ab:aba=1,bbabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2557 solved: rounds:6,rules:2,peak:4,longest:5,steps:5,word:2,work:244,nodes:14,pairs:13,completionMax:35us [00m00s] 2557 ab:aba=1,bbabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2557 ab:aba=1,bbabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2558 solved: rounds:7,rules:2,peak:4,longest:11,steps:7,word:8,work:650,nodes:22,pairs:16,completionMax:56us [00m00s] 2558 ab:aba=1,bbbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [00m00s] from: 2558 ab:aba=1,bbbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [00m00s] # 2559 solved: rounds:7,rules:2,peak:4,longest:8,steps:6,word:5,work:290,nodes:16,pairs:12,completionMax:53us [00m00s] 2559 ab:aba=1,bbbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2559 ab:aba=1,bbbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2560 solved: rounds:1,rules:1,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:2,completionMax:9us [00m00s] 2560 ab:aaa=1,aaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 2560 ab:aaa=1,aaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 2561 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:6us [00m00s] 2561 ab:aaa=1,aaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2561 ab:aaa=1,aaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [00m00s] # 2562 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:43,nodes:12,pairs:3,completionMax:24us [00m00s] 2562 ab:aaa=1,aaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [00m00s] from: 2562 ab:aaa=1,aaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [00m00s] # 2563 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:6us [00m00s] 2563 ab:aaa=1,aaab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 2563 ab:aaa=1,aaab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 2564 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:8us [00m00s] 2564 ab:aaa=1,aaab=ab infinite ab - - ab:ab=b,aaa=1 [00m00s] from: 2564 ab:aaa=1,aaab=ab infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [00m00s] # 2565 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:3us [00m00s] 2565 ab:aaa=1,aaab=ba infinite ab - - ab:ba=b,aaa=1 [00m00s] from: 2565 ab:aaa=1,aaab=ba infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [00m00s] # 2566 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:7us [00m00s] 2566 ab:aaa=1,aaab=bb infinite ab - - ab:bb=b,aaa=1 [00m00s] from: 2566 ab:aaa=1,aaab=bb infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [00m00s] # 2567 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:58,nodes:10,pairs:9,completionMax:30us [00m00s] 2567 ab:aaa=1,aaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 2567 ab:aaa=1,aaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 2568 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:1,work:140,nodes:10,pairs:12,completionMax:40us [00m00s] 2568 ab:aaa=1,aaba=ab infinite a/b - - ab:aaa=1,ab=baa [00m00s] from: 2568 ab:aaa=1,aaba=ab infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [00m00s] # 2569 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:81,nodes:10,pairs:10,completionMax:28us [00m00s] 2569 ab:aaa=1,aaba=ba infinite ab - - ab:ab=b,aaa=1 [00m00s] from: 2569 ab:aaa=1,aaba=ba infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [00m00s] # 2570 solved: rounds:2,rules:3,peak:4,longest:10,steps:9,word:7,work:379,nodes:34,pairs:10,completionMax:43us [00m00s] 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [00m00s] # 2571 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:10,pairs:2,completionMax:14us [00m00s] 2571 ab:aaa=1,aabb=aa infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m00s] from: 2571 ab:aaa=1,aabb=aa infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m00s] # 2572 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:1,work:43,nodes:12,pairs:8,completionMax:25us [00m00s] 2572 ab:aaa=1,aabb=ab finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [00m00s] from: 2572 ab:aaa=1,aabb=ab finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [00m00s] # 2573 solved: rounds:4,rules:5,peak:5,longest:8,steps:16,word:1,work:1210,nodes:28,pairs:8,completionMax:61us [00m00s] 2573 ab:aaa=1,aabb=ba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [00m00s] from: 2573 ab:aaa=1,aabb=ba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [00m00s] # 2574 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:2,completionMax:12us [00m00s] 2574 ab:aaa=1,aabb=bb infinite ab - - ab:aaa=1,abb=bb [00m00s] # 2575 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:107,nodes:14,pairs:10,completionMax:22us [00m00s] 2575 ab:aaa=1,abab=aa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m00s] from: 2575 ab:aaa=1,abab=aa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m00s] # 2576 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:14,pairs:1,completionMax:9us [00m00s] 2576 ab:aaa=1,abab=ab infinite ab - - ab:aaa=1,bab=b [00m00s] # 2577 solved: rounds:3,rules:6,peak:6,longest:6,steps:8,word:4,work:937,nodes:26,pairs:12,completionMax:81us [00m00s] 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb a/b - - ab:aaa=1,bab=aaba,abb=baabaa,aabaab=bba,bbaab=abaa,bbbb=b [00m00s] # 2578 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:159,nodes:18,pairs:2,completionMax:15us [00m00s] 2578 ab:aaa=1,abab=bb infinite reversed:a/b - - ab:aaa=1,bab=aabb,baabb=abbb [00m00s] # 2579 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:14,pairs:4,completionMax:11us [00m00s] 2579 ab:aaa=1,abba=aa infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m00s] from: 2579 ab:aaa=1,abba=aa infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m00s] # 2580 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:190,nodes:18,pairs:13,completionMax:48us [00m00s] 2580 ab:aaa=1,abba=ab finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [00m00s] from: 2580 ab:aaa=1,abba=ab finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [00m00s] # 2581 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:3,work:85,nodes:10,pairs:3,completionMax:10us [00m00s] 2581 ab:aaa=1,abba=bb infinite a/b - - ab:aaa=1,abb=bbaa [00m00s] # 2582 solved: rounds:2,rules:2,peak:5,longest:12,steps:2,word:4,work:316,nodes:36,pairs:8,completionMax:60us [00m00s] 2582 ab:aaa=1,abbb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 2582 ab:aaa=1,abbb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 2583 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:14,pairs:1,completionMax:13us [00m00s] 2583 ab:aaa=1,abbb=ab infinite ab - - ab:aaa=1,bbb=b [00m00s] # 2584 solved: rounds:1,rules:3,peak:3,longest:27,steps:29,word:24,work:631,nodes:58,pairs:1,completionMax:70us [00m00s] 2584 ab:aaa=1,abbb=ba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbb,aaa=1 [00m00s] # 2585 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:74,nodes:16,pairs:6,completionMax:28us [00m00s] 2585 ab:aaa=1,abbb=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,aaa=1 [00m00s] # 2586 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:39,nodes:12,pairs:3,completionMax:19us [00m00s] 2586 ab:aaa=1,baab=aa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m00s] from: 2586 ab:aaa=1,baab=aa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m00s] # 2587 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:1,work:65,nodes:12,pairs:5,completionMax:19us [00m00s] 2587 ab:aaa=1,baab=ab finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [00m00s] from: 2587 ab:aaa=1,baab=ab finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [00m00s] # 2588 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:12,pairs:0,completionMax:3us [00m00s] 2588 ab:aaa=1,baab=bb infinite ab - - ab:aaa=1,baab=bb [00m00s] # 2589 solved: rounds:3,rules:2,peak:7,longest:9,steps:8,word:4,work:1080,nodes:26,pairs:33,completionMax:113us [00m00s] 2589 ab:aaa=1,babb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m00s] from: 2589 ab:aaa=1,babb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m00s] # 2590 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:0,work:641,nodes:22,pairs:13,completionMax:62us [00m00s] 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [00m00s] # 2591 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:88,nodes:18,pairs:3,completionMax:10us [00m00s] 2591 ab:aaa=1,babb=ba infinite ab - - ab:aaa=1,bbb=b,babb=ba,baabb=baa [00m00s] # 2592 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:12,pairs:0,completionMax:2us [00m00s] 2592 ab:aaa=1,babb=bb infinite ab - - ab:aaa=1,babb=bb [00m00s] # 2593 solved: rounds:1,rules:2,peak:3,longest:12,steps:2,word:7,work:95,nodes:26,pairs:5,completionMax:24us [00m00s] 2593 ab:aaa=1,bbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m00s] from: 2593 ab:aaa=1,bbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m00s] # 2594 solved: rounds:1,rules:3,peak:3,longest:10,steps:2,word:4,work:37,nodes:24,pairs:1,completionMax:11us [00m00s] 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [00m00s] # 2595 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [00m00s] 2595 ab:aaa=1,bbbb=bb infinite ab - - ab:aaa=1,bbbb=bb [00m00s] # 2596 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:39,nodes:8,pairs:4,completionMax:9us [00m00s] 2596 ab:aab=1,aaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2596 ab:aab=1,aaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2597 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:2,completionMax:11us [00m00s] 2597 ab:aab=1,aaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2597 ab:aab=1,aaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2598 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:2,work:55,nodes:14,pairs:4,completionMax:22us [00m00s] 2598 ab:aab=1,aaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2598 ab:aab=1,aaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2599 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:5,work:151,nodes:22,pairs:5,completionMax:32us [00m00s] 2599 ab:aab=1,aaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2599 ab:aab=1,aaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2600 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:6,pairs:4,completionMax:11us [00m00s] 2600 ab:aab=1,aaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2600 ab:aab=1,aaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2601 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:6us [00m00s] 2601 ab:aab=1,aaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2601 ab:aab=1,aaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2602 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:13us [00m00s] 2602 ab:aab=1,aaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2602 ab:aab=1,aaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2603 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:17,nodes:10,pairs:4,completionMax:15us [00m00s] 2603 ab:aab=1,aaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2603 ab:aab=1,aaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2604 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:6,pairs:4,completionMax:10us [00m00s] 2604 ab:aab=1,aaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2604 ab:aab=1,aaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2605 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:5,nodes:6,pairs:2,completionMax:3us [00m00s] 2605 ab:aab=1,aaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2605 ab:aab=1,aaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2606 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:8,pairs:4,completionMax:12us [00m00s] 2606 ab:aab=1,aaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2606 ab:aab=1,aaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2607 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:16,nodes:10,pairs:4,completionMax:9us [00m00s] 2607 ab:aab=1,aaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2607 ab:aab=1,aaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2608 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:8,pairs:1,completionMax:3us [00m00s] 2608 ab:aab=1,aabb=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2608 ab:aab=1,aabb=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2609 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:4us [00m00s] 2609 ab:aab=1,aabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2609 ab:aab=1,aabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2610 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:24,nodes:8,pairs:4,completionMax:7us [00m00s] 2610 ab:aab=1,aabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2610 ab:aab=1,aabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2611 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:7us [00m00s] 2611 ab:aab=1,aabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2611 ab:aab=1,aabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2612 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:93,nodes:10,pairs:10,completionMax:23us [00m00s] 2612 ab:aab=1,abaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2612 ab:aab=1,abaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2613 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:117,nodes:10,pairs:9,completionMax:29us [00m00s] 2613 ab:aab=1,abaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2613 ab:aab=1,abaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2614 solved: rounds:2,rules:2,peak:7,longest:4,steps:4,word:0,work:183,nodes:14,pairs:18,completionMax:49us [00m00s] 2614 ab:aab=1,abaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2614 ab:aab=1,abaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2615 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:29,nodes:10,pairs:4,completionMax:14us [00m00s] 2615 ab:aab=1,abaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2615 ab:aab=1,abaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2616 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:76,nodes:14,pairs:5,completionMax:32us [00m00s] 2616 ab:aab=1,abab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2616 ab:aab=1,abab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2617 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:7us [00m00s] 2617 ab:aab=1,abab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2617 ab:aab=1,abab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2618 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:138,nodes:12,pairs:17,completionMax:33us [00m00s] 2618 ab:aab=1,abab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2618 ab:aab=1,abab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2619 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:114,nodes:16,pairs:10,completionMax:27us [00m00s] 2619 ab:aab=1,abab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2619 ab:aab=1,abab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2620 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:119,nodes:14,pairs:12,completionMax:49us [00m00s] 2620 ab:aab=1,abba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2620 ab:aab=1,abba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2621 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:94,nodes:12,pairs:16,completionMax:31us [00m00s] 2621 ab:aab=1,abba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2621 ab:aab=1,abba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2622 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:157,nodes:10,pairs:17,completionMax:39us [00m00s] 2622 ab:aab=1,abba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2622 ab:aab=1,abba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2623 solved: rounds:2,rules:2,peak:13,longest:5,steps:6,word:0,work:631,nodes:20,pairs:21,completionMax:88us [00m00s] 2623 ab:aab=1,abba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2623 ab:aab=1,abba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2624 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:4,work:56,nodes:16,pairs:5,completionMax:23us [00m00s] 2624 ab:aab=1,abbb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2624 ab:aab=1,abbb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2625 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:17,nodes:12,pairs:4,completionMax:10us [00m00s] 2625 ab:aab=1,abbb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2625 ab:aab=1,abbb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2626 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:1,work:54,nodes:12,pairs:8,completionMax:21us [00m00s] 2626 ab:aab=1,abbb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2626 ab:aab=1,abbb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2627 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:35,nodes:10,pairs:5,completionMax:14us [00m00s] 2627 ab:aab=1,abbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2627 ab:aab=1,abbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2628 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:186,nodes:14,pairs:15,completionMax:38us [00m00s] 2628 ab:aab=1,baaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2628 ab:aab=1,baaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2629 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:243,nodes:16,pairs:18,completionMax:71us [00m00s] 2629 ab:aab=1,baaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2629 ab:aab=1,baaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2630 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:140,nodes:12,pairs:12,completionMax:43us [00m00s] 2630 ab:aab=1,baaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2630 ab:aab=1,baaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2631 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:2,work:196,nodes:20,pairs:6,completionMax:29us [00m00s] 2631 ab:aab=1,baaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2631 ab:aab=1,baaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2632 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [00m00s] 2632 ab:aab=1,baab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2632 ab:aab=1,baab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2633 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:4us [00m00s] 2633 ab:aab=1,baab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2633 ab:aab=1,baab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2634 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:25,nodes:8,pairs:4,completionMax:11us [00m00s] 2634 ab:aab=1,baab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2634 ab:aab=1,baab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2635 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:11us [00m00s] 2635 ab:aab=1,baab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2635 ab:aab=1,baab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2636 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:354,nodes:18,pairs:23,completionMax:73us [00m00s] 2636 ab:aab=1,baba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2636 ab:aab=1,baba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2637 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:203,nodes:16,pairs:24,completionMax:45us [00m00s] 2637 ab:aab=1,baba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2637 ab:aab=1,baba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2638 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:92,nodes:14,pairs:9,completionMax:27us [00m00s] 2638 ab:aab=1,baba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2638 ab:aab=1,baba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2639 solved: rounds:3,rules:2,peak:7,longest:4,steps:4,word:0,work:348,nodes:20,pairs:21,completionMax:45us [00m00s] 2639 ab:aab=1,baba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2639 ab:aab=1,baba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2640 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:4,work:430,nodes:28,pairs:14,completionMax:47us [00m00s] 2640 ab:aab=1,babb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2640 ab:aab=1,babb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2641 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:123,nodes:16,pairs:15,completionMax:39us [00m00s] 2641 ab:aab=1,babb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2641 ab:aab=1,babb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2642 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:221,nodes:18,pairs:7,completionMax:44us [00m00s] 2642 ab:aab=1,babb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2642 ab:aab=1,babb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2643 solved: rounds:4,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:14,pairs:5,completionMax:13us [00m00s] 2643 ab:aab=1,babb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2643 ab:aab=1,babb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2644 solved: rounds:3,rules:2,peak:5,longest:6,steps:1,word:1,work:139,nodes:16,pairs:13,completionMax:33us [00m00s] 2644 ab:aab=1,bbaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2644 ab:aab=1,bbaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2645 solved: rounds:2,rules:2,peak:7,longest:4,steps:5,word:0,work:231,nodes:18,pairs:20,completionMax:31us [00m00s] 2645 ab:aab=1,bbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2645 ab:aab=1,bbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2646 solved: rounds:3,rules:2,peak:8,longest:4,steps:3,word:0,work:198,nodes:14,pairs:24,completionMax:51us [00m00s] 2646 ab:aab=1,bbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2646 ab:aab=1,bbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2647 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:281,nodes:14,pairs:11,completionMax:27us [00m00s] 2647 ab:aab=1,bbaa=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2647 ab:aab=1,bbaa=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2648 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:4,work:257,nodes:26,pairs:14,completionMax:47us [00m00s] 2648 ab:aab=1,bbab=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2648 ab:aab=1,bbab=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2649 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:82,nodes:14,pairs:9,completionMax:12us [00m00s] 2649 ab:aab=1,bbab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2649 ab:aab=1,bbab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2650 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:169,nodes:14,pairs:11,completionMax:25us [00m00s] 2650 ab:aab=1,bbab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2650 ab:aab=1,bbab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2651 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:40,nodes:14,pairs:4,completionMax:13us [00m00s] 2651 ab:aab=1,bbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2651 ab:aab=1,bbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2652 solved: rounds:3,rules:2,peak:7,longest:9,steps:2,word:4,work:402,nodes:22,pairs:20,completionMax:48us [00m00s] 2652 ab:aab=1,bbba=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2652 ab:aab=1,bbba=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2653 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:1,work:289,nodes:14,pairs:16,completionMax:64us [00m00s] 2653 ab:aab=1,bbba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2653 ab:aab=1,bbba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2654 solved: rounds:4,rules:2,peak:5,longest:5,steps:1,word:1,work:124,nodes:12,pairs:13,completionMax:38us [00m00s] 2654 ab:aab=1,bbba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2654 ab:aab=1,bbba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2655 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:151,nodes:12,pairs:17,completionMax:37us [00m00s] 2655 ab:aab=1,bbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2655 ab:aab=1,bbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2656 solved: rounds:4,rules:2,peak:5,longest:10,steps:4,word:7,work:217,nodes:20,pairs:12,completionMax:50us [00m00s] 2656 ab:aab=1,bbbb=aa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 2656 ab:aab=1,bbbb=aa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [00m00s] # 2657 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:373,nodes:16,pairs:27,completionMax:82us [00m00s] 2657 ab:aab=1,bbbb=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2657 ab:aab=1,bbbb=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2658 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:4,work:263,nodes:14,pairs:21,completionMax:69us [00m00s] 2658 ab:aab=1,bbbb=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2658 ab:aab=1,bbbb=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2659 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:1,work:68,nodes:12,pairs:5,completionMax:32us [00m00s] 2659 ab:aab=1,bbbb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2659 ab:aab=1,bbbb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2660 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:116,nodes:12,pairs:8,completionMax:26us [00m00s] 2660 ab:aba=1,aaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2660 ab:aba=1,aaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2661 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:16,nodes:10,pairs:3,completionMax:7us [00m00s] 2661 ab:aba=1,aaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2661 ab:aba=1,aaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2662 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:5,work:70,nodes:18,pairs:4,completionMax:19us [00m00s] 2662 ab:aba=1,aaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [00m00s] from: 2662 ab:aba=1,aaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [00m00s] # 2663 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:173,nodes:12,pairs:17,completionMax:35us [00m00s] 2663 ab:aba=1,aaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2663 ab:aba=1,aaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2664 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:53,nodes:12,pairs:9,completionMax:18us [00m00s] 2664 ab:aba=1,aaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2664 ab:aba=1,aaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2665 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:62,nodes:12,pairs:9,completionMax:18us [00m00s] 2665 ab:aba=1,aaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2665 ab:aba=1,aaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2666 solved: rounds:3,rules:2,peak:4,longest:5,steps:7,word:2,work:145,nodes:10,pairs:8,completionMax:21us [00m00s] 2666 ab:aba=1,aaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2666 ab:aba=1,aaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2667 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:6,pairs:5,completionMax:15us [00m00s] 2667 ab:aba=1,aaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2667 ab:aba=1,aaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2668 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:6,pairs:3,completionMax:6us [00m00s] 2668 ab:aba=1,aaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2668 ab:aba=1,aaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2669 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:3,completionMax:7us [00m00s] 2669 ab:aba=1,aaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2669 ab:aba=1,aaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2670 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:37,nodes:12,pairs:4,completionMax:16us [00m00s] 2670 ab:aba=1,aaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m00s] from: 2670 ab:aba=1,aaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m00s] # 2671 solved: rounds:2,rules:2,peak:4,longest:4,steps:5,word:2,work:115,nodes:14,pairs:5,completionMax:27us [00m00s] 2671 ab:aba=1,aabb=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2671 ab:aba=1,aabb=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2672 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:67,nodes:12,pairs:8,completionMax:23us [00m00s] 2672 ab:aba=1,aabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2672 ab:aba=1,aabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2673 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:8,completionMax:13us [00m00s] 2673 ab:aba=1,aabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2673 ab:aba=1,aabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2674 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:143,nodes:14,pairs:12,completionMax:30us [00m00s] 2674 ab:aba=1,aabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2674 ab:aba=1,aabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2675 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:6,nodes:8,pairs:1,completionMax:5us [00m00s] 2675 ab:aba=1,abab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2675 ab:aba=1,abab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2676 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:6,pairs:5,completionMax:11us [00m00s] 2676 ab:aba=1,abab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2676 ab:aba=1,abab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2677 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:8,pairs:5,completionMax:6us [00m00s] 2677 ab:aba=1,abab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2677 ab:aba=1,abab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2678 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:3,completionMax:12us [00m00s] 2678 ab:aba=1,abab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2678 ab:aba=1,abab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2679 solved: rounds:2,rules:2,peak:4,longest:4,steps:5,word:2,work:121,nodes:12,pairs:6,completionMax:36us [00m00s] 2679 ab:aba=1,abba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2679 ab:aba=1,abba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2680 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:155,nodes:12,pairs:14,completionMax:30us [00m00s] 2680 ab:aba=1,abba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2680 ab:aba=1,abba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2681 solved: rounds:4,rules:2,peak:4,longest:4,steps:6,word:0,work:191,nodes:12,pairs:14,completionMax:32us [00m00s] 2681 ab:aba=1,abba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2681 ab:aba=1,abba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2682 solved: rounds:5,rules:2,peak:4,longest:7,steps:4,word:4,work:168,nodes:14,pairs:9,completionMax:37us [00m00s] 2682 ab:aba=1,abbb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2682 ab:aba=1,abbb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2683 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:115,nodes:12,pairs:9,completionMax:24us [00m00s] 2683 ab:aba=1,abbb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2683 ab:aba=1,abbb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2684 solved: rounds:4,rules:2,peak:7,longest:7,steps:8,word:2,work:548,nodes:20,pairs:17,completionMax:58us [00m00s] 2684 ab:aba=1,abbb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2684 ab:aba=1,abbb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2685 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:220,nodes:12,pairs:12,completionMax:29us [00m00s] 2685 ab:aba=1,abbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2685 ab:aba=1,abbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2686 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:77,nodes:12,pairs:12,completionMax:28us [00m00s] 2686 ab:aba=1,baab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2686 ab:aba=1,baab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2687 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:93,nodes:12,pairs:9,completionMax:27us [00m00s] 2687 ab:aba=1,baab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2687 ab:aba=1,baab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2688 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:112,nodes:12,pairs:9,completionMax:27us [00m00s] 2688 ab:aba=1,baab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2688 ab:aba=1,baab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2689 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:8,work:276,nodes:16,pairs:15,completionMax:37us [00m00s] 2689 ab:aba=1,babb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2689 ab:aba=1,babb=aa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2690 solved: rounds:3,rules:2,peak:5,longest:7,steps:10,word:2,work:332,nodes:18,pairs:12,completionMax:40us [00m00s] 2690 ab:aba=1,babb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2690 ab:aba=1,babb=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2691 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:66,nodes:12,pairs:5,completionMax:14us [00m00s] 2691 ab:aba=1,babb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2691 ab:aba=1,babb=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2692 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:148,nodes:12,pairs:13,completionMax:32us [00m00s] 2692 ab:aba=1,babb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2692 ab:aba=1,babb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2693 solved: rounds:6,rules:2,peak:4,longest:10,steps:6,word:7,work:420,nodes:20,pairs:12,completionMax:64us [00m00s] 2693 ab:aba=1,bbbb=aa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [00m00s] from: 2693 ab:aba=1,bbbb=aa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [00m00s] # 2694 solved: rounds:6,rules:2,peak:4,longest:7,steps:4,word:4,work:228,nodes:14,pairs:12,completionMax:52us [00m00s] 2694 ab:aba=1,bbbb=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m00s] from: 2694 ab:aba=1,bbbb=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m00s] # 2695 solved: rounds:6,rules:2,peak:4,longest:4,steps:4,word:1,work:140,nodes:12,pairs:9,completionMax:40us [00m00s] 2695 ab:aba=1,bbbb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m00s] from: 2695 ab:aba=1,bbbb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m00s] # 2696 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:7us [00m00s] 2696 ab:aaa=1,aab=aaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2696 ab:aaa=1,aab=aaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2697 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:54,nodes:10,pairs:7,completionMax:18us [00m00s] 2697 ab:aaa=1,aba=aaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2697 ab:aaa=1,aba=aaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2698 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:56,nodes:16,pairs:5,completionMax:30us [00m00s] 2698 ab:aaa=1,abb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2698 ab:aaa=1,abb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2699 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:101,nodes:12,pairs:8,completionMax:32us [00m00s] 2699 ab:aaa=1,bab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [00m00s] from: 2699 ab:aaa=1,bab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [00m00s] # 2700 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:10,pairs:0,completionMax:4us [00m00s] 2700 ab:aaa=1,bbb=aaa infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [00m00s] from: 2700 ab:aaa=1,bbb=aaa infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [00m00s] # 2701 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:10us [00m00s] 2701 ab:aab=1,aba=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2701 ab:aab=1,aba=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2702 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:3,work:14,nodes:12,pairs:3,completionMax:12us [00m00s] 2702 ab:aab=1,abb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2702 ab:aab=1,abb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2703 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:8,pairs:3,completionMax:6us [00m00s] 2703 ab:aab=1,abb=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2703 ab:aab=1,abb=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2704 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:5us [00m00s] 2704 ab:aab=1,baa=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2704 ab:aab=1,baa=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2705 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:3,work:100,nodes:20,pairs:14,completionMax:21us [00m00s] 2705 ab:aab=1,bab=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2705 ab:aab=1,bab=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2706 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:49,nodes:10,pairs:8,completionMax:11us [00m00s] 2706 ab:aab=1,bab=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2706 ab:aab=1,bab=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2707 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:66,nodes:10,pairs:8,completionMax:17us [00m00s] 2707 ab:aab=1,bba=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2707 ab:aab=1,bba=aab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2708 solved: rounds:2,rules:2,peak:5,longest:9,steps:4,word:6,work:181,nodes:24,pairs:7,completionMax:36us [00m00s] 2708 ab:aab=1,bbb=aaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2708 ab:aab=1,bbb=aaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2709 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:46,nodes:14,pairs:5,completionMax:20us [00m00s] 2709 ab:aab=1,bbb=aab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2709 ab:aab=1,bbb=aab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2710 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:76,nodes:14,pairs:4,completionMax:19us [00m00s] 2710 ab:aba=1,abb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2710 ab:aba=1,abb=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2711 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:55,nodes:8,pairs:6,completionMax:14us [00m00s] 2711 ab:aba=1,abb=aba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2711 ab:aba=1,abb=aba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2712 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:14,pairs:7,completionMax:18us [00m00s] 2712 ab:aba=1,baa=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2712 ab:aba=1,baa=aab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2713 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:10,pairs:2,completionMax:7us [00m00s] 2713 ab:aba=1,baa=aba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [00m00s] from: 2713 ab:aba=1,baa=aba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [00m00s] # 2714 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:3,work:29,nodes:12,pairs:7,completionMax:26us [00m00s] 2714 ab:aba=1,bab=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2714 ab:aba=1,bab=aaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2715 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:10,pairs:7,completionMax:13us [00m00s] 2715 ab:aba=1,bab=aba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2715 ab:aba=1,bab=aba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2716 solved: rounds:5,rules:2,peak:4,longest:9,steps:6,word:6,work:206,nodes:18,pairs:10,completionMax:30us [00m00s] 2716 ab:aba=1,bbb=aaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [00m00s] from: 2716 ab:aba=1,bbb=aaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [00m00s] # 2717 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:101,nodes:12,pairs:8,completionMax:27us [00m00s] 2717 ab:aba=1,bbb=aba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [00m00s] from: 2717 ab:aba=1,bbb=aba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [00m00s] # 2718 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:39,nodes:10,pairs:6,completionMax:10us [00m00s] 2718 ab:abb=1,bbb=abb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2718 ab:abb=1,bbb=abb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2719 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:154,nodes:8,pairs:15,completionMax:29us [00m00s] 2719 ab:bab=1,bbb=bab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [00m00s] from: 2719 ab:bab=1,bbb=bab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [00m00s] # 2720 solved: rounds:0,rules:1,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:4us [00m00s] 2720 ab:aa=a,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 2720 ab:aa=a,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 2721 solved: rounds:2,rules:2,peak:3,longest:2,steps:4,word:0,work:17,nodes:4,pairs:2,completionMax:5us [00m00s] 2721 ab:aa=a,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2721 ab:aa=a,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2722 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:27,nodes:6,pairs:5,completionMax:25us [00m00s] 2722 ab:aa=a,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2722 ab:aa=a,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2723 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:16,nodes:6,pairs:2,completionMax:21us [00m00s] 2723 ab:aa=a,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2723 ab:aa=a,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2724 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:29,nodes:6,pairs:5,completionMax:15us [00m00s] 2724 ab:aa=a,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2724 ab:aa=a,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2725 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:20,nodes:8,pairs:3,completionMax:12us [00m00s] 2725 ab:aa=a,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2725 ab:aa=a,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2726 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:5,completionMax:17us [00m00s] 2726 ab:aa=a,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2726 ab:aa=a,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2727 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:15,nodes:8,pairs:2,completionMax:8us [00m00s] 2727 ab:aa=a,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2727 ab:aa=a,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2728 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:6us [00m00s] 2728 ab:aa=a,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2728 ab:aa=a,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2729 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:47,nodes:10,pairs:7,completionMax:13us [00m00s] 2729 ab:aa=a,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2729 ab:aa=a,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2730 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:10,pairs:3,completionMax:5us [00m00s] 2730 ab:aa=a,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2730 ab:aa=a,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2731 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:8,pairs:5,completionMax:8us [00m00s] 2731 ab:aa=a,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2731 ab:aa=a,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2732 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:10,pairs:4,completionMax:9us [00m00s] 2732 ab:aa=a,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2732 ab:aa=a,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2733 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:33,nodes:10,pairs:5,completionMax:9us [00m00s] 2733 ab:aa=a,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2733 ab:aa=a,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2734 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:10,pairs:2,completionMax:6us [00m00s] 2734 ab:aa=a,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2734 ab:aa=a,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2735 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:24,nodes:8,pairs:3,completionMax:6us [00m00s] 2735 ab:aa=a,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2735 ab:aa=a,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2736 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:49,nodes:10,pairs:7,completionMax:10us [00m00s] 2736 ab:aa=a,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2736 ab:aa=a,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2737 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:10,pairs:3,completionMax:8us [00m00s] 2737 ab:aa=a,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2737 ab:aa=a,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2738 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:31,nodes:12,pairs:4,completionMax:18us [00m00s] 2738 ab:aa=a,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2738 ab:aa=a,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2739 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:49,nodes:12,pairs:6,completionMax:12us [00m00s] 2739 ab:aa=a,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2739 ab:aa=a,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2740 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:20,nodes:12,pairs:3,completionMax:8us [00m00s] 2740 ab:aa=a,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2740 ab:aa=a,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2741 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:27,nodes:10,pairs:4,completionMax:10us [00m00s] 2741 ab:aa=a,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2741 ab:aa=a,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2742 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:21,nodes:12,pairs:3,completionMax:13us [00m00s] 2742 ab:aa=a,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2742 ab:aa=a,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2743 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:12,pairs:4,completionMax:11us [00m00s] 2743 ab:aa=a,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2743 ab:aa=a,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2744 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:36,nodes:12,pairs:5,completionMax:12us [00m00s] 2744 ab:aa=a,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2744 ab:aa=a,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2745 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:13,nodes:12,pairs:2,completionMax:7us [00m00s] 2745 ab:aa=a,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [00m00s] from: 2745 ab:aa=a,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [00m00s] # 2746 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:42,nodes:8,pairs:7,completionMax:16us [00m00s] 2746 ab:aa=a,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m00s] from: 2746 ab:aa=a,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m00s] # 2747 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:219,nodes:16,pairs:14,completionMax:40us [00m00s] 2747 ab:aa=a,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2747 ab:aa=a,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2748 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:99,nodes:12,pairs:9,completionMax:17us [00m00s] 2748 ab:aa=a,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m00s] from: 2748 ab:aa=a,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m00s] # 2749 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:477,nodes:24,pairs:21,completionMax:63us [00m00s] 2749 ab:aa=a,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2749 ab:aa=a,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2750 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:385,nodes:22,pairs:21,completionMax:63us [00m00s] 2750 ab:aa=a,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2750 ab:aa=a,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2751 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:546,nodes:28,pairs:16,completionMax:83us [00m00s] 2751 ab:aa=a,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2751 ab:aa=a,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2752 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:870,nodes:32,pairs:26,completionMax:91us [00m00s] 2752 ab:aa=a,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [00m00s] from: 2752 ab:aa=a,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [00m00s] # 2753 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:349,nodes:22,pairs:12,completionMax:30us [00m00s] 2753 ab:aa=a,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m00s] from: 2753 ab:aa=a,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m00s] # 2754 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:757,nodes:32,pairs:16,completionMax:56us [00m00s] 2754 ab:aa=a,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [00m00s] from: 2754 ab:aa=a,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [00m00s] # 2755 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:14,pairs:0,completionMax:9us [00m00s] 2755 ab:aa=a,bbbbbb=1 infinite ab - - ab:aa=a,bbbbbb=1 [00m00s] # 2756 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:3us [00m00s] 2756 ab:aa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m00s] from: 2756 ab:aa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m00s] # 2757 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:6,nodes:14,pairs:0,completionMax:5us [00m00s] 2757 ab:aa=b,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 2757 ab:aa=b,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 2758 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:5,nodes:14,pairs:0,completionMax:6us [00m00s] 2758 ab:aa=b,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 2758 ab:aa=b,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 2759 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:12,nodes:16,pairs:0,completionMax:6us [00m00s] 2759 ab:aa=b,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2759 ab:aa=b,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2760 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:4,nodes:14,pairs:0,completionMax:5us [00m00s] 2760 ab:aa=b,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m00s] from: 2760 ab:aa=b,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m00s] # 2761 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:11,nodes:16,pairs:0,completionMax:5us [00m00s] 2761 ab:aa=b,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2761 ab:aa=b,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2762 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:10,nodes:16,pairs:0,completionMax:6us [00m00s] 2762 ab:aa=b,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2762 ab:aa=b,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2763 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:18,nodes:18,pairs:0,completionMax:6us [00m00s] 2763 ab:aa=b,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2763 ab:aa=b,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2764 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:10,nodes:16,pairs:0,completionMax:5us [00m00s] 2764 ab:aa=b,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2764 ab:aa=b,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2765 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:9,nodes:16,pairs:0,completionMax:3us [00m00s] 2765 ab:aa=b,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2765 ab:aa=b,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2766 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:17,nodes:18,pairs:0,completionMax:4us [00m00s] 2766 ab:aa=b,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2766 ab:aa=b,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2767 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:8,nodes:16,pairs:0,completionMax:5us [00m00s] 2767 ab:aa=b,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2767 ab:aa=b,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2768 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:16,nodes:18,pairs:0,completionMax:7us [00m00s] 2768 ab:aa=b,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2768 ab:aa=b,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2769 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:15,nodes:18,pairs:0,completionMax:7us [00m00s] 2769 ab:aa=b,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2769 ab:aa=b,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2770 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:24,nodes:20,pairs:0,completionMax:6us [00m00s] 2770 ab:aa=b,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2770 ab:aa=b,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2771 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:9,nodes:16,pairs:0,completionMax:2us [00m00s] 2771 ab:aa=b,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2771 ab:aa=b,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2772 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:8,nodes:16,pairs:0,completionMax:6us [00m00s] 2772 ab:aa=b,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2772 ab:aa=b,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2773 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:16,nodes:18,pairs:0,completionMax:4us [00m00s] 2773 ab:aa=b,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2773 ab:aa=b,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2774 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:15,nodes:18,pairs:0,completionMax:5us [00m00s] 2774 ab:aa=b,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2774 ab:aa=b,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2775 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:14,nodes:18,pairs:0,completionMax:5us [00m00s] 2775 ab:aa=b,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2775 ab:aa=b,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2776 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:23,nodes:20,pairs:0,completionMax:6us [00m00s] 2776 ab:aa=b,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2776 ab:aa=b,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2777 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:14,nodes:18,pairs:0,completionMax:5us [00m00s] 2777 ab:aa=b,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2777 ab:aa=b,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2778 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:22,nodes:20,pairs:0,completionMax:3us [00m00s] 2778 ab:aa=b,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2778 ab:aa=b,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2779 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:21,nodes:20,pairs:0,completionMax:3us [00m00s] 2779 ab:aa=b,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2779 ab:aa=b,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2780 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:20,nodes:20,pairs:0,completionMax:6us [00m00s] 2780 ab:aa=b,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2780 ab:aa=b,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2781 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:30,nodes:22,pairs:0,completionMax:6us [00m00s] 2781 ab:aa=b,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [00m00s] from: 2781 ab:aa=b,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 2782 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:8,nodes:16,pairs:0,completionMax:13us [00m00s] 2782 ab:aa=b,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m00s] from: 2782 ab:aa=b,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m00s] # 2783 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:15,nodes:18,pairs:0,completionMax:6us [00m00s] 2783 ab:aa=b,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2783 ab:aa=b,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2784 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:14,nodes:18,pairs:0,completionMax:6us [00m00s] 2784 ab:aa=b,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m00s] from: 2784 ab:aa=b,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m00s] # 2785 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:22,nodes:20,pairs:0,completionMax:7us [00m00s] 2785 ab:aa=b,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2785 ab:aa=b,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2786 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:21,nodes:20,pairs:0,completionMax:5us [00m00s] 2786 ab:aa=b,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2786 ab:aa=b,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2787 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:20,nodes:20,pairs:0,completionMax:5us [00m00s] 2787 ab:aa=b,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2787 ab:aa=b,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2788 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:29,nodes:22,pairs:0,completionMax:9us [00m00s] 2788 ab:aa=b,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [00m00s] from: 2788 ab:aa=b,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 2789 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:20,nodes:20,pairs:0,completionMax:4us [00m00s] 2789 ab:aa=b,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m00s] from: 2789 ab:aa=b,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m00s] # 2790 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:28,nodes:22,pairs:0,completionMax:5us [00m00s] 2790 ab:aa=b,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [00m00s] from: 2790 ab:aa=b,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 2791 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:36,nodes:24,pairs:0,completionMax:7us [00m00s] 2791 ab:aa=b,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [00m00s] from: 2791 ab:aa=b,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [00m00s] # 2792 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:5us [00m00s] 2792 ab:ab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [00m00s] from: 2792 ab:ab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [00m00s] # 2793 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:11,nodes:10,pairs:1,completionMax:4us [00m00s] 2793 ab:ab=a,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2793 ab:ab=a,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2794 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:3us [00m00s] 2794 ab:ab=a,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2794 ab:ab=a,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2795 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:3us [00m00s] 2795 ab:ab=a,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2795 ab:ab=a,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2796 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:4us [00m00s] 2796 ab:ab=a,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2796 ab:ab=a,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2797 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:13,nodes:8,pairs:1,completionMax:2us [00m00s] 2797 ab:ab=a,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2797 ab:ab=a,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2798 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:3us [00m00s] 2798 ab:ab=a,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2798 ab:ab=a,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2799 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:3us [00m00s] 2799 ab:ab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2799 ab:ab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2800 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:4us [00m00s] 2800 ab:ab=a,aabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2800 ab:ab=a,aabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2801 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:5us [00m00s] 2801 ab:ab=a,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2801 ab:ab=a,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2802 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:8us [00m00s] 2802 ab:ab=a,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2802 ab:ab=a,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2803 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:5us [00m00s] 2803 ab:ab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2803 ab:ab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2804 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:3us [00m00s] 2804 ab:ab=a,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2804 ab:ab=a,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2805 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:2us [00m00s] 2805 ab:ab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2805 ab:ab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2806 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:3us [00m00s] 2806 ab:ab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2806 ab:ab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2807 solved: rounds:1,rules:2,peak:3,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:8us [00m00s] 2807 ab:ab=a,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2807 ab:ab=a,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2808 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:12us [00m00s] 2808 ab:ab=a,abaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2808 ab:ab=a,abaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2809 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:5us [00m00s] 2809 ab:ab=a,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2809 ab:ab=a,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2810 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:8us [00m00s] 2810 ab:ab=a,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2810 ab:ab=a,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2811 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:6us [00m00s] 2811 ab:ab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2811 ab:ab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2812 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:9us [00m00s] 2812 ab:ab=a,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2812 ab:ab=a,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2813 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:12us [00m00s] 2813 ab:ab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2813 ab:ab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2814 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:5us [00m00s] 2814 ab:ab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2814 ab:ab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2815 solved: rounds:1,rules:2,peak:3,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:13us [00m00s] 2815 ab:ab=a,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2815 ab:ab=a,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2816 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:13us [00m00s] 2816 ab:ab=a,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2816 ab:ab=a,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2817 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:8us [00m00s] 2817 ab:ab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2817 ab:ab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2818 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:4us [00m00s] 2818 ab:ab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2818 ab:ab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2819 solved: rounds:1,rules:2,peak:3,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:2us [00m00s] 2819 ab:ab=a,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2819 ab:ab=a,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2820 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:3us [00m00s] 2820 ab:ab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2820 ab:ab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2821 solved: rounds:1,rules:2,peak:3,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:2us [00m00s] 2821 ab:ab=a,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2821 ab:ab=a,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2822 solved: rounds:1,rules:2,peak:3,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:3us [00m00s] 2822 ab:ab=a,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2822 ab:ab=a,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2823 solved: rounds:1,rules:2,peak:2,longest:2,steps:5,word:0,work:11,nodes:4,pairs:1,completionMax:2us [00m00s] 2823 ab:ab=a,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2823 ab:ab=a,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2824 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:51,nodes:22,pairs:3,completionMax:30us [00m00s] 2824 ab:ab=a,baaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m00s] from: 2824 ab:ab=a,baaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m00s] # 2825 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:48,nodes:18,pairs:3,completionMax:21us [00m00s] 2825 ab:ab=a,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2825 ab:ab=a,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2826 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:47,nodes:18,pairs:3,completionMax:23us [00m00s] 2826 ab:ab=a,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2826 ab:ab=a,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2827 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:14,pairs:3,completionMax:14us [00m00s] 2827 ab:ab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2827 ab:ab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2828 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:46,nodes:18,pairs:3,completionMax:20us [00m00s] 2828 ab:ab=a,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2828 ab:ab=a,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2829 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:14,pairs:3,completionMax:15us [00m00s] 2829 ab:ab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2829 ab:ab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2830 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:41,nodes:14,pairs:3,completionMax:16us [00m00s] 2830 ab:ab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2830 ab:ab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2831 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:36,nodes:10,pairs:3,completionMax:20us [00m00s] 2831 ab:ab=a,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2831 ab:ab=a,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2832 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:45,nodes:18,pairs:3,completionMax:30us [00m00s] 2832 ab:ab=a,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2832 ab:ab=a,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2833 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:41,nodes:14,pairs:3,completionMax:17us [00m00s] 2833 ab:ab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2833 ab:ab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2834 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:40,nodes:14,pairs:3,completionMax:10us [00m00s] 2834 ab:ab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2834 ab:ab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2835 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:35,nodes:10,pairs:3,completionMax:9us [00m00s] 2835 ab:ab=a,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2835 ab:ab=a,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2836 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:39,nodes:14,pairs:3,completionMax:13us [00m00s] 2836 ab:ab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2836 ab:ab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2837 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:34,nodes:10,pairs:3,completionMax:13us [00m00s] 2837 ab:ab=a,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2837 ab:ab=a,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2838 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:33,nodes:10,pairs:3,completionMax:14us [00m00s] 2838 ab:ab=a,babbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2838 ab:ab=a,babbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2839 solved: rounds:2,rules:2,peak:4,longest:2,steps:4,word:0,work:26,nodes:6,pairs:3,completionMax:9us [00m00s] 2839 ab:ab=a,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2839 ab:ab=a,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2840 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:55,nodes:20,pairs:4,completionMax:22us [00m00s] 2840 ab:ab=a,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m00s] from: 2840 ab:ab=a,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m00s] # 2841 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:50,nodes:16,pairs:4,completionMax:19us [00m00s] 2841 ab:ab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2841 ab:ab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2842 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:49,nodes:16,pairs:4,completionMax:14us [00m00s] 2842 ab:ab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2842 ab:ab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2843 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:12,pairs:4,completionMax:10us [00m00s] 2843 ab:ab=a,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2843 ab:ab=a,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2844 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:48,nodes:16,pairs:4,completionMax:13us [00m00s] 2844 ab:ab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2844 ab:ab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2845 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:12,pairs:4,completionMax:14us [00m00s] 2845 ab:ab=a,bbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2845 ab:ab=a,bbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2846 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:41,nodes:12,pairs:4,completionMax:12us [00m00s] 2846 ab:ab=a,bbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2846 ab:ab=a,bbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2847 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:33,nodes:8,pairs:4,completionMax:10us [00m00s] 2847 ab:ab=a,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2847 ab:ab=a,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2848 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:57,nodes:18,pairs:5,completionMax:11us [00m00s] 2848 ab:ab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m00s] from: 2848 ab:ab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m00s] # 2849 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:50,nodes:14,pairs:5,completionMax:8us [00m00s] 2849 ab:ab=a,bbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2849 ab:ab=a,bbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2850 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:49,nodes:14,pairs:5,completionMax:11us [00m00s] 2850 ab:ab=a,bbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2850 ab:ab=a,bbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2851 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:40,nodes:10,pairs:5,completionMax:12us [00m00s] 2851 ab:ab=a,bbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2851 ab:ab=a,bbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2852 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:57,nodes:16,pairs:6,completionMax:8us [00m00s] 2852 ab:ab=a,bbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 2852 ab:ab=a,bbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 2853 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:47,nodes:12,pairs:6,completionMax:11us [00m00s] 2853 ab:ab=a,bbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2853 ab:ab=a,bbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2854 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:54,nodes:14,pairs:7,completionMax:11us [00m00s] 2854 ab:ab=a,bbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 2854 ab:ab=a,bbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 2855 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:10,nodes:14,pairs:0,completionMax:2us [00m00s] 2855 ab:ab=a,bbbbbb=1 infinite ab - - ab:ab=a,bbbbbb=1 [00m00s] # 2856 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:1us [00m00s] 2856 ab:aa=a,aaaaa=a infinite ab - - ab:aa=a [00m00s] from: 2856 ab:aa=a,aaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 2857 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:1us [00m00s] 2857 ab:aa=a,aaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2857 ab:aa=a,aaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2858 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:2us [00m00s] 2858 ab:aa=a,aaaab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2858 ab:aa=a,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2859 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:7us [00m00s] 2859 ab:aa=a,aaaab=b infinite ab - - ab:aa=a,ab=b [00m00s] from: 2859 ab:aa=a,aaaab=b infinite to: 56 ab:aa=a,ab=b infinite a=a,b=b [00m00s] # 2860 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:0,completionMax:6us [00m00s] 2860 ab:aa=a,aaaba=a infinite ab - - ab:aa=a,aba=a [00m00s] from: 2860 ab:aa=a,aaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 2861 solved: rounds:1,rules:3,peak:4,longest:3,steps:2,word:0,work:40,nodes:8,pairs:3,completionMax:11us [00m00s] 2861 ab:aa=a,aaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [00m00s] from: 2861 ab:aa=a,aaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [00m00s] # 2862 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:1us [00m00s] 2862 ab:aa=a,aaabb=a infinite ab - - ab:aa=a,abb=a [00m00s] from: 2862 ab:aa=a,aaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 2863 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:11us [00m00s] 2863 ab:aa=a,aaabb=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] from: 2863 ab:aa=a,aaabb=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [00m00s] # 2864 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:2us [00m00s] 2864 ab:aa=a,aabaa=a infinite ab - - ab:aa=a,aba=a [00m00s] from: 2864 ab:aa=a,aabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 2865 solved: rounds:1,rules:3,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:3,completionMax:8us [00m00s] 2865 ab:aa=a,aabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [00m00s] from: 2865 ab:aa=a,aabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [00m00s] # 2866 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:63,nodes:8,pairs:5,completionMax:20us [00m00s] 2866 ab:aa=a,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m00s] from: 2866 ab:aa=a,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m00s] # 2867 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:34,nodes:8,pairs:4,completionMax:10us [00m00s] 2867 ab:aa=a,aabab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] from: 2867 ab:aa=a,aabab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [00m00s] # 2868 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:26,nodes:8,pairs:0,completionMax:3us [00m00s] 2868 ab:aa=a,aabba=a infinite ab - - ab:aa=a,abba=a [00m00s] from: 2868 ab:aa=a,aabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [00m00s] # 2869 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:69,nodes:10,pairs:7,completionMax:36us [00m00s] 2869 ab:aa=a,aabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [00m00s] from: 2869 ab:aa=a,aabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [00m00s] # 2870 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:21us [00m00s] 2870 ab:aa=a,aabbb=a infinite ab - - ab:aa=a,abbb=a [00m00s] from: 2870 ab:aa=a,aabbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [00m00s] # 2871 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:25,nodes:8,pairs:2,completionMax:17us [00m00s] 2871 ab:aa=a,aabbb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [00m00s] from: 2871 ab:aa=a,aabbb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [00m00s] # 2872 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:5,completionMax:55us [00m00s] 2872 ab:aa=a,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m00s] from: 2872 ab:aa=a,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m00s] # 2873 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:36,nodes:8,pairs:4,completionMax:28us [00m00s] 2873 ab:aa=a,abaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [00m00s] from: 2873 ab:aa=a,abaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [00m00s] # 2874 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:3us [00m00s] 2874 ab:aa=a,ababa=a infinite ab - - ab:aa=a,ababa=a [00m00s] # 2875 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:102,nodes:12,pairs:10,completionMax:48us [00m00s] 2875 ab:aa=a,ababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [00m00s] from: 2875 ab:aa=a,ababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [00m00s] # 2876 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:5us [00m00s] 2876 ab:aa=a,ababb=a infinite ab - - ab:aa=a,ababb=a [00m00s] # 2877 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:32,nodes:10,pairs:3,completionMax:18us [00m00s] 2877 ab:aa=a,ababb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [00m00s] from: 2877 ab:aa=a,ababb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [00m00s] # 2878 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:677,nodes:16,pairs:24,completionMax:68us [00m00s] 2878 ab:aa=a,abbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [00m00s] # 2879 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:39,nodes:10,pairs:4,completionMax:10us [00m00s] 2879 ab:aa=a,abbab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [00m00s] from: 2879 ab:aa=a,abbab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [00m00s] # 2880 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:5us [00m00s] 2880 ab:aa=a,abbba=a infinite ab - - ab:aa=a,abbba=a [00m00s] # 2881 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:71,nodes:12,pairs:7,completionMax:24us [00m00s] 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [00m00s] # 2882 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:5us [00m00s] 2882 ab:aa=a,abbbb=a infinite ab - - ab:aa=a,abbbb=a [00m00s] # 2883 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:27,nodes:10,pairs:2,completionMax:8us [00m00s] 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [00m00s] # 2884 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:54,nodes:8,pairs:3,completionMax:14us [00m00s] 2884 ab:aa=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 2884 ab:aa=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 2885 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:4us [00m00s] 2885 ab:aa=a,baaab=b infinite ab - - ab:aa=a,bab=b [00m00s] from: 2885 ab:aa=a,baaab=b infinite to: 244 ab:aa=a,bab=b infinite a=a,b=b [00m00s] # 2886 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:772,nodes:24,pairs:5,completionMax:57us [00m00s] 2886 ab:aa=a,baabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [00m00s] from: 2886 ab:aa=a,baabb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [00m00s] # 2887 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [00m00s] 2887 ab:aa=a,baabb=b infinite ab - - ab:aa=a,babb=b [00m00s] from: 2887 ab:aa=a,baabb=b infinite to: 897 ab:aa=a,babb=b infinite a=a,b=b [00m00s] # 2888 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:124,nodes:12,pairs:5,completionMax:22us [00m00s] 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [00m00s] # 2889 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [00m00s] 2889 ab:aa=a,babab=b infinite ab - - ab:aa=a,babab=b [00m00s] # 2890 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3778,nodes:46,pairs:33,completionMax:115us [00m00s] 2890 ab:aa=a,babbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [00m00s] # 2891 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:8us [00m00s] 2891 ab:aa=a,babbb=b infinite ab - - ab:aa=a,babbb=b [00m00s] # 2892 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:110,nodes:14,pairs:5,completionMax:26us [00m00s] 2892 ab:aa=a,bbabb=a infinite ab - - ab:aa=a,bba=abb,abbbb=a [00m00s] # 2893 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:175,nodes:16,pairs:5,completionMax:25us [00m00s] 2893 ab:aa=a,bbabb=b infinite ab - - ab:aa=a,bbab=babb,babbb=b [00m00s] # 2894 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:8,work:133,nodes:20,pairs:2,completionMax:27us [00m00s] 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbbb [00m00s] # 2895 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:18us [00m00s] 2895 ab:aa=a,bbbbb=b infinite ab - - ab:aa=a,bbbbb=b [00m00s] # 2896 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:7us [00m00s] 2896 ab:aa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [00m00s] from: 2896 ab:aa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 2897 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:21,nodes:10,pairs:0,completionMax:6us [00m00s] 2897 ab:aa=b,aaaaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 2897 ab:aa=b,aaaaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 2898 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:17,nodes:12,pairs:0,completionMax:2us [00m00s] 2898 ab:aa=b,aaaab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 2898 ab:aa=b,aaaab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 2899 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:30,nodes:12,pairs:0,completionMax:3us [00m00s] 2899 ab:aa=b,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 2899 ab:aa=b,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 2900 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:16,nodes:12,pairs:0,completionMax:4us [00m00s] 2900 ab:aa=b,aaaba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 2900 ab:aa=b,aaaba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 2901 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:29,nodes:12,pairs:0,completionMax:3us [00m00s] 2901 ab:aa=b,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 2901 ab:aa=b,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 2902 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:24,nodes:14,pairs:0,completionMax:7us [00m00s] 2902 ab:aa=b,aaabb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2902 ab:aa=b,aaabb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2903 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:39,nodes:14,pairs:0,completionMax:5us [00m00s] 2903 ab:aa=b,aaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2903 ab:aa=b,aaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2904 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:15,nodes:12,pairs:0,completionMax:5us [00m00s] 2904 ab:aa=b,aabaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [00m00s] from: 2904 ab:aa=b,aabaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [00m00s] # 2905 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:28,nodes:12,pairs:0,completionMax:2us [00m00s] 2905 ab:aa=b,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 2905 ab:aa=b,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 2906 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:23,nodes:14,pairs:0,completionMax:9us [00m00s] 2906 ab:aa=b,aabab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2906 ab:aa=b,aabab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2907 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:38,nodes:14,pairs:0,completionMax:7us [00m00s] 2907 ab:aa=b,aabab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2907 ab:aa=b,aabab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2908 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:22,nodes:14,pairs:0,completionMax:5us [00m00s] 2908 ab:aa=b,aabba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2908 ab:aa=b,aabba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2909 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:37,nodes:14,pairs:0,completionMax:5us [00m00s] 2909 ab:aa=b,aabba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2909 ab:aa=b,aabba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2910 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:31,nodes:16,pairs:0,completionMax:7us [00m00s] 2910 ab:aa=b,aabbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2910 ab:aa=b,aabbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2911 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:48,nodes:16,pairs:0,completionMax:5us [00m00s] 2911 ab:aa=b,aabbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2911 ab:aa=b,aabbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2912 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:22,nodes:14,pairs:0,completionMax:9us [00m00s] 2912 ab:aa=b,abaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2912 ab:aa=b,abaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2913 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:37,nodes:14,pairs:0,completionMax:5us [00m00s] 2913 ab:aa=b,abaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2913 ab:aa=b,abaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2914 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:21,nodes:14,pairs:0,completionMax:7us [00m00s] 2914 ab:aa=b,ababa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2914 ab:aa=b,ababa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2915 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:36,nodes:14,pairs:0,completionMax:5us [00m00s] 2915 ab:aa=b,ababa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2915 ab:aa=b,ababa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2916 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:30,nodes:16,pairs:0,completionMax:8us [00m00s] 2916 ab:aa=b,ababb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2916 ab:aa=b,ababb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2917 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:47,nodes:16,pairs:0,completionMax:6us [00m00s] 2917 ab:aa=b,ababb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2917 ab:aa=b,ababb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2918 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:29,nodes:16,pairs:0,completionMax:3us [00m00s] 2918 ab:aa=b,abbab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2918 ab:aa=b,abbab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2919 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:46,nodes:16,pairs:0,completionMax:5us [00m00s] 2919 ab:aa=b,abbab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2919 ab:aa=b,abbab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2920 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:28,nodes:16,pairs:0,completionMax:6us [00m00s] 2920 ab:aa=b,abbba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2920 ab:aa=b,abbba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2921 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:45,nodes:16,pairs:0,completionMax:4us [00m00s] 2921 ab:aa=b,abbba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2921 ab:aa=b,abbba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2922 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:38,nodes:18,pairs:0,completionMax:6us [00m00s] 2922 ab:aa=b,abbbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [00m00s] from: 2922 ab:aa=b,abbbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [00m00s] # 2923 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:57,nodes:18,pairs:0,completionMax:5us [00m00s] 2923 ab:aa=b,abbbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [00m00s] from: 2923 ab:aa=b,abbbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [00m00s] # 2924 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:21,nodes:14,pairs:0,completionMax:7us [00m00s] 2924 ab:aa=b,baaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [00m00s] from: 2924 ab:aa=b,baaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [00m00s] # 2925 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:36,nodes:14,pairs:0,completionMax:5us [00m00s] 2925 ab:aa=b,baaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 2925 ab:aa=b,baaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 2926 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:29,nodes:16,pairs:0,completionMax:8us [00m00s] 2926 ab:aa=b,baabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2926 ab:aa=b,baabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2927 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:46,nodes:16,pairs:0,completionMax:4us [00m00s] 2927 ab:aa=b,baabb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2927 ab:aa=b,baabb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2928 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:28,nodes:16,pairs:0,completionMax:9us [00m00s] 2928 ab:aa=b,babab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [00m00s] from: 2928 ab:aa=b,babab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [00m00s] # 2929 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:45,nodes:16,pairs:0,completionMax:6us [00m00s] 2929 ab:aa=b,babab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 2929 ab:aa=b,babab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 2930 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:37,nodes:18,pairs:0,completionMax:7us [00m00s] 2930 ab:aa=b,babbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [00m00s] from: 2930 ab:aa=b,babbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [00m00s] # 2931 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:56,nodes:18,pairs:0,completionMax:5us [00m00s] 2931 ab:aa=b,babbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [00m00s] from: 2931 ab:aa=b,babbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [00m00s] # 2932 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:36,nodes:18,pairs:0,completionMax:9us [00m00s] 2932 ab:aa=b,bbabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [00m00s] from: 2932 ab:aa=b,bbabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [00m00s] # 2933 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:55,nodes:18,pairs:0,completionMax:6us [00m00s] 2933 ab:aa=b,bbabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [00m00s] from: 2933 ab:aa=b,bbabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [00m00s] # 2934 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:45,nodes:20,pairs:0,completionMax:11us [00m00s] 2934 ab:aa=b,bbbbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [00m00s] from: 2934 ab:aa=b,bbbbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [00m00s] # 2935 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:66,nodes:20,pairs:0,completionMax:6us [00m00s] 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [00m00s] # 2936 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:7us [00m00s] 2936 ab:ab=a,aaaaa=a infinite ab - - ab:ab=a,aaaaa=a [00m00s] # 2937 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:8us [00m00s] 2937 ab:ab=a,aaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [00m00s] from: 2937 ab:ab=a,aaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [00m00s] # 2938 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:0,completionMax:8us [00m00s] 2938 ab:ab=a,aaaab=a infinite ab - - ab:ab=a,aaaa=a [00m00s] from: 2938 ab:ab=a,aaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m00s] # 2939 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:1,completionMax:4us [00m00s] 2939 ab:ab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [00m00s] from: 2939 ab:ab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m00s] # 2940 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:4us [00m00s] 2940 ab:ab=a,aaaba=a infinite ab - - ab:ab=a,aaaa=a [00m00s] from: 2940 ab:ab=a,aaaba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m00s] # 2941 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:3us [00m00s] 2941 ab:ab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [00m00s] from: 2941 ab:ab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m00s] # 2942 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:4us [00m00s] 2942 ab:ab=a,aaabb=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2942 ab:ab=a,aaabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2943 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:7us [00m00s] 2943 ab:ab=a,aaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2943 ab:ab=a,aaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2944 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:5us [00m00s] 2944 ab:ab=a,aabaa=a infinite ab - - ab:ab=a,aaaa=a [00m00s] from: 2944 ab:ab=a,aabaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m00s] # 2945 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:1,completionMax:7us [00m00s] 2945 ab:ab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [00m00s] from: 2945 ab:ab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m00s] # 2946 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:7us [00m00s] 2946 ab:ab=a,aabab=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2946 ab:ab=a,aabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2947 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:8us [00m00s] 2947 ab:ab=a,aabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2947 ab:ab=a,aabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2948 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:5us [00m00s] 2948 ab:ab=a,aabba=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2948 ab:ab=a,aabba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2949 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:7us [00m00s] 2949 ab:ab=a,aabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2949 ab:ab=a,aabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2950 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:17,nodes:4,pairs:0,completionMax:4us [00m00s] 2950 ab:ab=a,aabbb=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2950 ab:ab=a,aabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2951 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:6us [00m00s] 2951 ab:ab=a,aabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2951 ab:ab=a,aabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2952 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:10us [00m00s] 2952 ab:ab=a,abaaa=a infinite ab - - ab:ab=a,aaaa=a [00m00s] from: 2952 ab:ab=a,abaaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m00s] # 2953 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:10,pairs:1,completionMax:5us [00m00s] 2953 ab:ab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [00m00s] from: 2953 ab:ab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m00s] # 2954 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:3us [00m00s] 2954 ab:ab=a,abaab=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2954 ab:ab=a,abaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2955 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:8us [00m00s] 2955 ab:ab=a,abaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2955 ab:ab=a,abaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2956 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:6,pairs:0,completionMax:6us [00m00s] 2956 ab:ab=a,ababa=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2956 ab:ab=a,ababa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2957 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:8,pairs:1,completionMax:9us [00m00s] 2957 ab:ab=a,ababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2957 ab:ab=a,ababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2958 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:4,pairs:0,completionMax:4us [00m00s] 2958 ab:ab=a,ababb=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2958 ab:ab=a,ababb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2959 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:8us [00m00s] 2959 ab:ab=a,ababb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2959 ab:ab=a,ababb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2960 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:18us [00m00s] 2960 ab:ab=a,abbaa=a infinite ab - - ab:ab=a,aaa=a [00m00s] from: 2960 ab:ab=a,abbaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 2961 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:11us [00m00s] 2961 ab:ab=a,abbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [00m00s] from: 2961 ab:ab=a,abbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [00m00s] # 2962 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:15,nodes:4,pairs:0,completionMax:6us [00m00s] 2962 ab:ab=a,abbab=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2962 ab:ab=a,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2963 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:6us [00m00s] 2963 ab:ab=a,abbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2963 ab:ab=a,abbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2964 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:5us [00m00s] 2964 ab:ab=a,abbba=a infinite ab - - ab:aa=a,ab=a [00m00s] from: 2964 ab:ab=a,abbba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 2965 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:16us [00m00s] 2965 ab:ab=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [00m00s] from: 2965 ab:ab=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [00m00s] # 2966 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:3us [00m00s] 2966 ab:ab=a,abbbb=a infinite ab - - ab:ab=a [00m00s] from: 2966 ab:ab=a,abbbb=a infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 2967 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:8us [00m00s] 2967 ab:ab=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [00m00s] from: 2967 ab:ab=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [00m00s] # 2968 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:163,nodes:18,pairs:6,completionMax:52us [00m00s] 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [00m00s] # 2969 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:49,nodes:18,pairs:2,completionMax:29us [00m00s] 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [00m00s] # 2970 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:146,nodes:14,pairs:5,completionMax:35us [00m00s] 2970 ab:ab=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m00s] from: 2970 ab:ab=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 2971 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:47,nodes:14,pairs:2,completionMax:22us [00m00s] 2971 ab:ab=a,baaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [00m00s] from: 2971 ab:ab=a,baaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [00m00s] # 2972 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:145,nodes:14,pairs:5,completionMax:52us [00m00s] 2972 ab:ab=a,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m00s] from: 2972 ab:ab=a,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 2973 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:46,nodes:14,pairs:2,completionMax:30us [00m00s] 2973 ab:ab=a,baaba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [00m00s] from: 2973 ab:ab=a,baaba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [00m00s] # 2974 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:89,nodes:10,pairs:3,completionMax:41us [00m00s] 2974 ab:ab=a,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2974 ab:ab=a,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2975 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:43,nodes:10,pairs:2,completionMax:15us [00m00s] 2975 ab:ab=a,baabb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2975 ab:ab=a,baabb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2976 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:144,nodes:14,pairs:5,completionMax:33us [00m00s] 2976 ab:ab=a,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m00s] from: 2976 ab:ab=a,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 2977 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:45,nodes:14,pairs:2,completionMax:14us [00m00s] 2977 ab:ab=a,babaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [00m00s] from: 2977 ab:ab=a,babaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [00m00s] # 2978 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:88,nodes:10,pairs:3,completionMax:35us [00m00s] 2978 ab:ab=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2978 ab:ab=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2979 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:42,nodes:10,pairs:2,completionMax:30us [00m00s] 2979 ab:ab=a,babab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2979 ab:ab=a,babab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2980 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:87,nodes:10,pairs:3,completionMax:29us [00m00s] 2980 ab:ab=a,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 2980 ab:ab=a,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 2981 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:41,nodes:10,pairs:2,completionMax:6us [00m00s] 2981 ab:ab=a,babba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2981 ab:ab=a,babba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2982 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m00s] 2982 ab:ab=a,babbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 2982 ab:ab=a,babbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 2983 solved: rounds:1,rules:4,peak:4,longest:2,steps:3,word:0,work:37,nodes:6,pairs:2,completionMax:6us [00m00s] 2983 ab:ab=a,babbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2983 ab:ab=a,babbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2984 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:159,nodes:16,pairs:5,completionMax:24us [00m00s] 2984 ab:ab=a,bbaaa=a infinite ab - - ab:ab=a,aaa=a,bba=a [00m00s] # 2985 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:71,nodes:16,pairs:4,completionMax:38us [00m00s] 2985 ab:ab=a,bbaaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [00m00s] from: 2985 ab:ab=a,bbaaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [00m00s] # 2986 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:96,nodes:12,pairs:3,completionMax:20us [00m00s] 2986 ab:ab=a,bbaab=a infinite ab - - ab:aa=a,ab=a,bba=a [00m00s] from: 2986 ab:ab=a,bbaab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [00m00s] # 2987 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:64,nodes:12,pairs:4,completionMax:29us [00m00s] 2987 ab:ab=a,bbaab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2987 ab:ab=a,bbaab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2988 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:95,nodes:12,pairs:3,completionMax:30us [00m00s] 2988 ab:ab=a,bbaba=a infinite ab - - ab:aa=a,ab=a,bba=a [00m00s] from: 2988 ab:ab=a,bbaba=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [00m00s] # 2989 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:63,nodes:12,pairs:4,completionMax:25us [00m00s] 2989 ab:ab=a,bbaba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2989 ab:ab=a,bbaba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2990 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:9us [00m00s] 2990 ab:ab=a,bbabb=a infinite ab - - ab:ab=a,bba=a [00m00s] from: 2990 ab:ab=a,bbabb=a infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [00m00s] # 2991 solved: rounds:2,rules:4,peak:4,longest:3,steps:2,word:0,work:55,nodes:8,pairs:4,completionMax:33us [00m00s] 2991 ab:ab=a,bbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2991 ab:ab=a,bbabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2992 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:101,nodes:14,pairs:3,completionMax:32us [00m00s] 2992 ab:ab=a,bbbaa=a infinite ab - - ab:aa=a,ab=a,bbba=a [00m00s] # 2993 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:75,nodes:14,pairs:5,completionMax:36us [00m00s] 2993 ab:ab=a,bbbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [00m00s] from: 2993 ab:ab=a,bbbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [00m00s] # 2994 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:4us [00m00s] 2994 ab:ab=a,bbbab=a infinite ab - - ab:ab=a,bbba=a [00m00s] from: 2994 ab:ab=a,bbbab=a infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [00m00s] # 2995 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:65,nodes:10,pairs:5,completionMax:34us [00m00s] 2995 ab:ab=a,bbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2995 ab:ab=a,bbbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2996 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:13,nodes:12,pairs:0,completionMax:31us [00m00s] 2996 ab:ab=a,bbbba=a infinite ab - - ab:ab=a,bbbba=a [00m00s] # 2997 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:77,nodes:12,pairs:6,completionMax:67us [00m00s] 2997 ab:ab=a,bbbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [00m00s] from: 2997 ab:ab=a,bbbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [00m00s] # 2998 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:4,work:181,nodes:12,pairs:1,completionMax:11us [00m00s] 2998 ab:ab=a,bbbbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: b/a - - ab:bbbbbb=bbbbb,a=bbbbb [00m00s] from: 2998 ab:ab=a,bbbbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=bbbbb,b=b [00m00s] # 2999 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:20,nodes:12,pairs:0,completionMax:35us [00m00s] 2999 ab:ab=a,bbbbb=b infinite ab - - ab:ab=a,bbbbb=b [00m00s] # 3000 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:1us [00m00s] 3000 ab:aa=a,aaaa=aa infinite ab - - ab:aa=a [00m00s] from: 3000 ab:aa=a,aaaa=aa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 3001 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:1us [00m00s] 3001 ab:aa=a,aaaa=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 3001 ab:aa=a,aaaa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3002 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:40,nodes:8,pairs:2,completionMax:34us [00m00s] 3002 ab:aa=a,aaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [00m00s] from: 3002 ab:aa=a,aaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bb,b=b [00m00s] # 3003 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:4,pairs:0,completionMax:26us [00m00s] 3003 ab:aa=a,aaab=aa infinite ab - - ab:aa=a,ab=a [00m00s] from: 3003 ab:aa=a,aaab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3004 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:16us [00m00s] 3004 ab:aa=a,aaab=ab infinite ab - - ab:aa=a [00m00s] from: 3004 ab:aa=a,aaab=ab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m00s] # 3005 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:1us [00m00s] 3005 ab:aa=a,aaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [00m00s] from: 3005 ab:aa=a,aaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [00m00s] # 3006 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:43,nodes:8,pairs:1,completionMax:9us [00m00s] 3006 ab:aa=a,aaab=bb finite:6;idempotents:1,a,bb,bba ba - - ab:ab=bb,aa=a,bbb=bb [00m00s] from: 3006 ab:aa=a,aaab=bb finite:6;idempotents:1,a,bb,bba to: 958 ab:aa=a,aab=bb finite:6;idempotents:1,a,bb,bba a=a,b=b [00m00s] # 3007 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:24,nodes:6,pairs:0,completionMax:12us [00m00s] 3007 ab:aa=a,aaba=aa infinite ab - - ab:aa=a,aba=a [00m00s] from: 3007 ab:aa=a,aaba=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 3008 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:57,nodes:9,pairs:5,completionMax:9us [00m00s] 3008 ab:aa=a,aaba=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [00m00s] from: 3008 ab:aa=a,aaba=ab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [00m00s] # 3009 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:68,nodes:12,pairs:5,completionMax:10us [00m00s] 3009 ab:aa=a,aaba=ba infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [00m00s] # 3010 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:100,nodes:10,pairs:1,completionMax:8us [00m00s] 3010 ab:aa=a,aaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [00m00s] from: 3010 ab:aa=a,aaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba to: 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a=a,b=b [00m00s] # 3011 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m00s] 3011 ab:aa=a,aabb=aa infinite ab - - ab:aa=a,abb=a [00m00s] from: 3011 ab:aa=a,aabb=aa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 3012 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:2us [00m00s] 3012 ab:aa=a,aabb=ab infinite ab - - ab:aa=a,abb=ab [00m00s] from: 3012 ab:aa=a,aabb=ab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [00m00s] # 3013 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:89,nodes:12,pairs:1,completionMax:7us [00m00s] 3013 ab:aa=a,aabb=ba infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [00m00s] from: 3013 ab:aa=a,aabb=ba infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [00m00s] # 3014 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:6,pairs:0,completionMax:2us [00m00s] 3014 ab:aa=a,aabb=bb infinite ab - - ab:aa=a,abb=bb [00m00s] from: 3014 ab:aa=a,aabb=bb infinite to: 965 ab:aa=a,abb=bb infinite a=a,b=b [00m00s] # 3015 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:63,nodes:8,pairs:5,completionMax:11us [00m00s] 3015 ab:aa=a,abab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [00m00s] from: 3015 ab:aa=a,abab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m00s] # 3016 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [00m00s] 3016 ab:aa=a,abab=ab infinite ab - - ab:aa=a,abab=ab [00m00s] # 3017 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:295,nodes:14,pairs:12,completionMax:41us [00m00s] 3017 ab:aa=a,abab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [00m00s] # 3018 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:59,nodes:14,pairs:2,completionMax:7us [00m00s] 3018 ab:aa=a,abab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [00m00s] # 3019 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:26,nodes:8,pairs:0,completionMax:2us [00m00s] 3019 ab:aa=a,abba=aa infinite ab - - ab:aa=a,abba=a [00m00s] from: 3019 ab:aa=a,abba=aa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [00m00s] # 3020 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:250,nodes:10,pairs:10,completionMax:27us [00m00s] 3020 ab:aa=a,abba=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [00m00s] # 3021 solved: rounds:1,rules:3,peak:4,longest:4,steps:1,word:0,work:59,nodes:12,pairs:3,completionMax:9us [00m00s] 3021 ab:aa=a,abba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb [00m00s] # 3022 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:1us [00m00s] 3022 ab:aa=a,abbb=aa infinite ab - - ab:aa=a,abbb=a [00m00s] from: 3022 ab:aa=a,abbb=aa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [00m00s] # 3023 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:5us [00m00s] 3023 ab:aa=a,abbb=ab infinite ab - - ab:aa=a,abbb=ab [00m00s] # 3024 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:177,nodes:22,pairs:1,completionMax:10us [00m00s] 3024 ab:aa=a,abbb=ba infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [00m00s] # 3025 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:10,pairs:2,completionMax:10us [00m00s] 3025 ab:aa=a,abbb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [00m00s] # 3026 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:53,nodes:8,pairs:3,completionMax:13us [00m00s] 3026 ab:aa=a,baab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 3026 ab:aa=a,baab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 3027 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:3us [00m00s] 3027 ab:aa=a,baab=ab infinite ab - - ab:aa=a,bab=ab [00m00s] from: 3027 ab:aa=a,baab=ab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [00m00s] # 3028 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:5us [00m00s] 3028 ab:aa=a,baab=bb infinite ab - - ab:aa=a,bab=bb [00m00s] from: 3028 ab:aa=a,baab=bb infinite to: 968 ab:aa=a,bab=bb infinite a=a,b=b [00m00s] # 3029 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:771,nodes:24,pairs:5,completionMax:36us [00m00s] 3029 ab:aa=a,babb=aa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [00m00s] from: 3029 ab:aa=a,babb=aa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [00m00s] # 3030 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:292,nodes:12,pairs:10,completionMax:30us [00m00s] 3030 ab:aa=a,babb=ab infinite ab - - ab:aa=a,bab=abb,abbb=ab [00m00s] # 3031 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:4us [00m00s] 3031 ab:aa=a,babb=ba infinite ab - - ab:aa=a,babb=ba [00m00s] # 3032 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m00s] 3032 ab:aa=a,babb=bb infinite ab - - ab:aa=a,babb=bb [00m00s] # 3033 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:6,work:94,nodes:16,pairs:2,completionMax:11us [00m00s] 3033 ab:aa=a,bbbb=aa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbb=bbbb,a=bbbb [00m00s] from: 3033 ab:aa=a,bbbb=aa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=bbbb,b=b [00m00s] # 3034 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:101,nodes:16,pairs:1,completionMax:11us [00m00s] 3034 ab:aa=a,bbbb=ab finite:14;idempotents:1,a,bbbbbb,bbbbbba b/a - - ab:bbbbbbb=bbbb,ab=bbbb,aa=a [00m00s] # 3035 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:10,pairs:0,completionMax:3us [00m00s] 3035 ab:aa=a,bbbb=bb infinite ab - - ab:aa=a,bbbb=bb [00m00s] # 3036 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:2us [00m00s] 3036 ab:aa=b,aaaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m00s] from: 3036 ab:aa=b,aaaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m00s] # 3037 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:50,nodes:8,pairs:0,completionMax:3us [00m00s] 3037 ab:aa=b,aaaa=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 3037 ab:aa=b,aaaa=ab finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 3038 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:4,nodes:2,pairs:0,completionMax:1us [00m00s] 3038 ab:aa=b,aaaa=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 3038 ab:aa=b,aaaa=bb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 3039 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:24,nodes:10,pairs:0,completionMax:5us [00m00s] 3039 ab:aa=b,aaab=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 3039 ab:aa=b,aaab=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 3040 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:46,nodes:10,pairs:0,completionMax:3us [00m00s] 3040 ab:aa=b,aaab=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3040 ab:aa=b,aaab=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3041 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:45,nodes:10,pairs:0,completionMax:3us [00m00s] 3041 ab:aa=b,aaab=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3041 ab:aa=b,aaab=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3042 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:108,nodes:10,pairs:0,completionMax:4us [00m00s] 3042 ab:aa=b,aaab=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3042 ab:aa=b,aaab=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3043 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:23,nodes:10,pairs:0,completionMax:3us [00m00s] 3043 ab:aa=b,aaba=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [00m00s] from: 3043 ab:aa=b,aaba=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [00m00s] # 3044 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:45,nodes:10,pairs:0,completionMax:3us [00m00s] 3044 ab:aa=b,aaba=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3044 ab:aa=b,aaba=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3045 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:44,nodes:10,pairs:0,completionMax:3us [00m00s] 3045 ab:aa=b,aaba=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3045 ab:aa=b,aaba=ba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3046 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:107,nodes:10,pairs:0,completionMax:4us [00m00s] 3046 ab:aa=b,aaba=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3046 ab:aa=b,aaba=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3047 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:32,nodes:12,pairs:0,completionMax:3us [00m00s] 3047 ab:aa=b,aabb=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 3047 ab:aa=b,aabb=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 3048 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:46,nodes:12,pairs:0,completionMax:4us [00m00s] 3048 ab:aa=b,aabb=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3048 ab:aa=b,aabb=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3049 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:45,nodes:12,pairs:0,completionMax:3us [00m00s] 3049 ab:aa=b,aabb=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3049 ab:aa=b,aabb=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3050 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:84,nodes:12,pairs:0,completionMax:3us [00m00s] 3050 ab:aa=b,aabb=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3050 ab:aa=b,aabb=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3051 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:31,nodes:12,pairs:0,completionMax:4us [00m00s] 3051 ab:aa=b,abab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 3051 ab:aa=b,abab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 3052 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:45,nodes:12,pairs:0,completionMax:3us [00m00s] 3052 ab:aa=b,abab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3052 ab:aa=b,abab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3053 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:44,nodes:12,pairs:0,completionMax:2us [00m00s] 3053 ab:aa=b,abab=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3053 ab:aa=b,abab=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3054 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:83,nodes:12,pairs:0,completionMax:4us [00m00s] 3054 ab:aa=b,abab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3054 ab:aa=b,abab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3055 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:30,nodes:12,pairs:0,completionMax:3us [00m00s] 3055 ab:aa=b,abba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 3055 ab:aa=b,abba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 3056 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:44,nodes:12,pairs:0,completionMax:2us [00m00s] 3056 ab:aa=b,abba=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3056 ab:aa=b,abba=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3057 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:82,nodes:12,pairs:0,completionMax:5us [00m00s] 3057 ab:aa=b,abba=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3057 ab:aa=b,abba=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3058 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:40,nodes:14,pairs:0,completionMax:6us [00m00s] 3058 ab:aa=b,abbb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 3058 ab:aa=b,abbb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 3059 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:56,nodes:14,pairs:0,completionMax:3us [00m00s] 3059 ab:aa=b,abbb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [00m00s] from: 3059 ab:aa=b,abbb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [00m00s] # 3060 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:55,nodes:14,pairs:0,completionMax:4us [00m00s] 3060 ab:aa=b,abbb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [00m00s] from: 3060 ab:aa=b,abbb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [00m00s] # 3061 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:86,nodes:14,pairs:0,completionMax:3us [00m00s] 3061 ab:aa=b,abbb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [00m00s] from: 3061 ab:aa=b,abbb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3062 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:30,nodes:12,pairs:0,completionMax:4us [00m00s] 3062 ab:aa=b,baab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [00m00s] from: 3062 ab:aa=b,baab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [00m00s] # 3063 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:44,nodes:12,pairs:0,completionMax:5us [00m00s] 3063 ab:aa=b,baab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3063 ab:aa=b,baab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3064 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:82,nodes:12,pairs:0,completionMax:5us [00m00s] 3064 ab:aa=b,baab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3064 ab:aa=b,baab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3065 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:39,nodes:14,pairs:0,completionMax:5us [00m00s] 3065 ab:aa=b,babb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [00m00s] from: 3065 ab:aa=b,babb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [00m00s] # 3066 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:55,nodes:14,pairs:0,completionMax:6us [00m00s] 3066 ab:aa=b,babb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [00m00s] from: 3066 ab:aa=b,babb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [00m00s] # 3067 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:54,nodes:14,pairs:0,completionMax:5us [00m00s] 3067 ab:aa=b,babb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [00m00s] from: 3067 ab:aa=b,babb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [00m00s] # 3068 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:85,nodes:14,pairs:0,completionMax:5us [00m00s] 3068 ab:aa=b,babb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [00m00s] from: 3068 ab:aa=b,babb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3069 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:48,nodes:16,pairs:0,completionMax:6us [00m00s] 3069 ab:aa=b,bbbb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [00m00s] from: 3069 ab:aa=b,bbbb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [00m00s] # 3070 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:66,nodes:16,pairs:0,completionMax:4us [00m00s] 3070 ab:aa=b,bbbb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [00m00s] from: 3070 ab:aa=b,bbbb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [00m00s] # 3071 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:84,nodes:16,pairs:0,completionMax:6us [00m00s] 3071 ab:aa=b,bbbb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [00m00s] from: 3071 ab:aa=b,bbbb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [00m00s] # 3072 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:23,nodes:8,pairs:0,completionMax:3us [00m00s] 3072 ab:ab=a,aaaa=aa infinite ab - - ab:ab=a,aaaa=aa [00m00s] # 3073 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:3us [00m00s] 3073 ab:ab=a,aaaa=ab infinite ab - - ab:ab=a,aaaa=a [00m00s] from: 3073 ab:ab=a,aaaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m00s] # 3074 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:52,nodes:12,pairs:1,completionMax:9us [00m00s] 3074 ab:ab=a,aaaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [00m00s] # 3075 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:101,nodes:18,pairs:5,completionMax:27us [00m00s] 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [00m00s] # 3076 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:3us [00m00s] 3076 ab:ab=a,aaab=aa infinite ab - - ab:ab=a,aaa=aa [00m00s] from: 3076 ab:ab=a,aaab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [00m00s] # 3077 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:6,pairs:0,completionMax:2us [00m00s] 3077 ab:ab=a,aaab=ab infinite ab - - ab:ab=a,aaa=a [00m00s] from: 3077 ab:ab=a,aaab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 3078 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:47,nodes:10,pairs:1,completionMax:6us [00m00s] 3078 ab:ab=a,aaab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [00m00s] from: 3078 ab:ab=a,aaab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [00m00s] # 3079 solved: rounds:2,rules:4,peak:5,longest:4,steps:1,word:0,work:82,nodes:14,pairs:4,completionMax:19us [00m00s] 3079 ab:ab=a,aaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [00m00s] from: 3079 ab:ab=a,aaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [00m00s] # 3080 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:0,completionMax:4us [00m00s] 3080 ab:ab=a,aaba=aa infinite ab - - ab:ab=a,aaa=aa [00m00s] from: 3080 ab:ab=a,aaba=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [00m00s] # 3081 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:6,pairs:0,completionMax:3us [00m00s] 3081 ab:ab=a,aaba=ab infinite ab - - ab:ab=a,aaa=a [00m00s] from: 3081 ab:ab=a,aaba=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 3082 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:46,nodes:10,pairs:1,completionMax:6us [00m00s] 3082 ab:ab=a,aaba=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [00m00s] from: 3082 ab:ab=a,aaba=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [00m00s] # 3083 solved: rounds:2,rules:4,peak:5,longest:4,steps:1,word:0,work:81,nodes:14,pairs:4,completionMax:23us [00m00s] 3083 ab:ab=a,aaba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [00m00s] from: 3083 ab:ab=a,aaba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [00m00s] # 3084 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [00m00s] 3084 ab:ab=a,aabb=aa infinite ab - - ab:ab=a [00m00s] from: 3084 ab:ab=a,aabb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3085 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:16,nodes:4,pairs:0,completionMax:2us [00m00s] 3085 ab:ab=a,aabb=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 3085 ab:ab=a,aabb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3086 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:47,nodes:8,pairs:1,completionMax:6us [00m00s] 3086 ab:ab=a,aabb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3086 ab:ab=a,aabb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3087 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:63,nodes:10,pairs:3,completionMax:17us [00m00s] 3087 ab:ab=a,aabb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] from: 3087 ab:ab=a,aabb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3088 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:2us [00m00s] 3088 ab:ab=a,abaa=aa infinite ab - - ab:ab=a,aaa=aa [00m00s] from: 3088 ab:ab=a,abaa=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [00m00s] # 3089 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [00m00s] 3089 ab:ab=a,abaa=ab infinite ab - - ab:ab=a,aaa=a [00m00s] from: 3089 ab:ab=a,abaa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 3090 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:45,nodes:10,pairs:1,completionMax:9us [00m00s] 3090 ab:ab=a,abaa=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [00m00s] from: 3090 ab:ab=a,abaa=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [00m00s] # 3091 solved: rounds:2,rules:4,peak:5,longest:4,steps:1,word:0,work:80,nodes:14,pairs:4,completionMax:18us [00m00s] 3091 ab:ab=a,abaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [00m00s] from: 3091 ab:ab=a,abaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [00m00s] # 3092 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:0us [00m00s] 3092 ab:ab=a,abab=aa infinite ab - - ab:ab=a [00m00s] from: 3092 ab:ab=a,abab=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3093 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:15,nodes:4,pairs:0,completionMax:4us [00m00s] 3093 ab:ab=a,abab=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 3093 ab:ab=a,abab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3094 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:46,nodes:8,pairs:1,completionMax:9us [00m00s] 3094 ab:ab=a,abab=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3094 ab:ab=a,abab=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3095 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:62,nodes:10,pairs:3,completionMax:22us [00m00s] 3095 ab:ab=a,abab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] from: 3095 ab:ab=a,abab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3096 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [00m00s] 3096 ab:ab=a,abba=aa infinite ab - - ab:ab=a [00m00s] from: 3096 ab:ab=a,abba=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3097 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:4,pairs:0,completionMax:2us [00m00s] 3097 ab:ab=a,abba=ab infinite ab - - ab:aa=a,ab=a [00m00s] from: 3097 ab:ab=a,abba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3098 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:45,nodes:8,pairs:1,completionMax:8us [00m00s] 3098 ab:ab=a,abba=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3098 ab:ab=a,abba=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3099 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:61,nodes:10,pairs:3,completionMax:10us [00m00s] 3099 ab:ab=a,abba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [00m00s] from: 3099 ab:ab=a,abba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3100 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:4us [00m00s] 3100 ab:ab=a,abbb=aa infinite ab - - ab:aa=a,ab=a [00m00s] from: 3100 ab:ab=a,abbb=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3101 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [00m00s] 3101 ab:ab=a,abbb=ab infinite ab - - ab:ab=a [00m00s] from: 3101 ab:ab=a,abbb=ab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3102 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:6,pairs:0,completionMax:2us [00m00s] 3102 ab:ab=a,abbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 3102 ab:ab=a,abbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 3103 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:1,work:25,nodes:6,pairs:1,completionMax:6us [00m00s] 3103 ab:ab=a,abbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [00m00s] from: 3103 ab:ab=a,abbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [00m00s] # 3104 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:222,nodes:14,pairs:3,completionMax:25us [00m00s] 3104 ab:ab=a,baaa=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [00m00s] # 3105 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:143,nodes:14,pairs:5,completionMax:27us [00m00s] 3105 ab:ab=a,baaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m00s] from: 3105 ab:ab=a,baaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3106 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:48,nodes:14,pairs:1,completionMax:9us [00m00s] 3106 ab:ab=a,baaa=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [00m00s] # 3107 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:2,work:30,nodes:10,pairs:2,completionMax:9us [00m00s] 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [00m00s] # 3108 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:3us [00m00s] 3108 ab:ab=a,baab=aa infinite ab - - ab:ab=a,baa=aa [00m00s] from: 3108 ab:ab=a,baab=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [00m00s] # 3109 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:87,nodes:10,pairs:3,completionMax:23us [00m00s] 3109 ab:ab=a,baab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 3109 ab:ab=a,baab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 3110 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:1,completionMax:8us [00m00s] 3110 ab:ab=a,baab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [00m00s] from: 3110 ab:ab=a,baab=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [00m00s] # 3111 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:1,work:29,nodes:8,pairs:2,completionMax:12us [00m00s] 3111 ab:ab=a,baab=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [00m00s] from: 3111 ab:ab=a,baab=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [00m00s] # 3112 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:3us [00m00s] 3112 ab:ab=a,baba=aa infinite ab - - ab:ab=a,baa=aa [00m00s] from: 3112 ab:ab=a,baba=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [00m00s] # 3113 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:86,nodes:10,pairs:3,completionMax:21us [00m00s] 3113 ab:ab=a,baba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 3113 ab:ab=a,baba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 3114 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:1,completionMax:8us [00m00s] 3114 ab:ab=a,baba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [00m00s] from: 3114 ab:ab=a,baba=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [00m00s] # 3115 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:1,work:28,nodes:8,pairs:2,completionMax:9us [00m00s] 3115 ab:ab=a,baba=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [00m00s] from: 3115 ab:ab=a,baba=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [00m00s] # 3116 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:47,nodes:8,pairs:1,completionMax:8us [00m00s] 3116 ab:ab=a,babb=aa infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3116 ab:ab=a,babb=aa infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3117 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [00m00s] 3117 ab:ab=a,babb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 3117 ab:ab=a,babb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 3118 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 3118 ab:ab=a,babb=ba infinite ab - - ab:ab=a [00m00s] from: 3118 ab:ab=a,babb=ba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3119 solved: rounds:1,rules:3,peak:3,longest:2,steps:2,word:0,work:27,nodes:6,pairs:2,completionMax:6us [00m00s] 3119 ab:ab=a,babb=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [00m00s] from: 3119 ab:ab=a,babb=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [00m00s] # 3120 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:3us [00m00s] 3120 ab:ab=a,bbaa=aa infinite ab - - ab:ab=a,bbaa=aa [00m00s] # 3121 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:93,nodes:12,pairs:3,completionMax:20us [00m00s] 3121 ab:ab=a,bbaa=ab infinite ab - - ab:aa=a,ab=a,bba=a [00m00s] from: 3121 ab:ab=a,bbaa=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [00m00s] # 3122 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:104,nodes:14,pairs:3,completionMax:13us [00m00s] 3122 ab:ab=a,bbaa=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [00m00s] # 3123 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:2,completionMax:11us [00m00s] 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [00m00s] # 3124 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:48,nodes:10,pairs:1,completionMax:6us [00m00s] 3124 ab:ab=a,bbab=aa infinite ab - - ab:ab=a,aaa=aa,bba=aa [00m00s] from: 3124 ab:ab=a,bbab=aa infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [00m00s] # 3125 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:3us [00m00s] 3125 ab:ab=a,bbab=ab infinite ab - - ab:ab=a,bba=a [00m00s] from: 3125 ab:ab=a,bbab=ab infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [00m00s] # 3126 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:4us [00m00s] 3126 ab:ab=a,bbab=ba infinite ab - - ab:ab=a,bba=ba [00m00s] from: 3126 ab:ab=a,bbab=ba infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [00m00s] # 3127 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:71,nodes:8,pairs:2,completionMax:9us [00m00s] 3127 ab:ab=a,bbab=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [00m00s] from: 3127 ab:ab=a,bbab=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [00m00s] # 3128 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:1,completionMax:8us [00m00s] 3128 ab:ab=a,bbba=aa infinite ab - - ab:ab=a,aaa=aa,bbba=aa [00m00s] # 3129 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:3us [00m00s] 3129 ab:ab=a,bbba=ab infinite ab - - ab:ab=a,bbba=a [00m00s] from: 3129 ab:ab=a,bbba=ab infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [00m00s] # 3130 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:5us [00m00s] 3130 ab:ab=a,bbba=ba infinite ab - - ab:ab=a,bbba=ba [00m00s] # 3131 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:111,nodes:10,pairs:5,completionMax:31us [00m00s] 3131 ab:ab=a,bbba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [00m00s] from: 3131 ab:ab=a,bbba=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [00m00s] # 3132 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:111,nodes:14,pairs:5,completionMax:28us [00m00s] 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [00m00s] # 3133 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:3,work:103,nodes:10,pairs:1,completionMax:13us [00m00s] 3133 ab:ab=a,bbbb=ab finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbbb [00m00s] from: 3133 ab:ab=a,bbbb=ab finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbbb,b=b [00m00s] # 3134 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:2,work:196,nodes:12,pairs:2,completionMax:34us [00m00s] 3134 ab:ab=a,bbbb=ba finite:6;idempotents:1,a,bbbb b/a - - ab:bbbbb=bbbb,ab=a,ba=bbbb,aa=a [00m00s] # 3135 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:10,pairs:0,completionMax:12us [00m00s] 3135 ab:ab=a,bbbb=bb infinite ab - - ab:ab=a,bbbb=bb [00m00s] # 3136 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:4,pairs:0,completionMax:2us [00m00s] 3136 ab:aa=a,aab=aaa infinite ab - - ab:aa=a,ab=a [00m00s] from: 3136 ab:aa=a,aab=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3137 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:0,completionMax:3us [00m00s] 3137 ab:aa=a,aba=aaa infinite ab - - ab:aa=a,aba=a [00m00s] from: 3137 ab:aa=a,aba=aaa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m00s] # 3138 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:57,nodes:9,pairs:5,completionMax:9us [00m00s] 3138 ab:aa=a,aba=aab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [00m00s] from: 3138 ab:aa=a,aba=aab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [00m00s] # 3139 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m00s] 3139 ab:aa=a,abb=aaa infinite ab - - ab:aa=a,abb=a [00m00s] from: 3139 ab:aa=a,abb=aaa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m00s] # 3140 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:1us [00m00s] 3140 ab:aa=a,abb=aab infinite ab - - ab:aa=a,abb=ab [00m00s] from: 3140 ab:aa=a,abb=aab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [00m00s] # 3141 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:1us [00m00s] 3141 ab:aa=a,abb=aba infinite ab - - ab:aa=a,abb=aba [00m00s] # 3142 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:16,nodes:6,pairs:0,completionMax:2us [00m00s] 3142 ab:aa=a,baa=aab infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [00m00s] from: 3142 ab:aa=a,baa=aab infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [00m00s] # 3143 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:90,nodes:12,pairs:1,completionMax:6us [00m00s] 3143 ab:aa=a,baa=abb infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [00m00s] from: 3143 ab:aa=a,baa=abb infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [00m00s] # 3144 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:52,nodes:8,pairs:3,completionMax:12us [00m00s] 3144 ab:aa=a,bab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m00s] from: 3144 ab:aa=a,bab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m00s] # 3145 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:2us [00m00s] 3145 ab:aa=a,bab=aab infinite ab - - ab:aa=a,bab=ab [00m00s] from: 3145 ab:aa=a,bab=aab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [00m00s] # 3146 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:3us [00m00s] 3146 ab:aa=a,bab=aba infinite ab - - ab:aa=a,bab=aba [00m00s] # 3147 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:3us [00m00s] 3147 ab:aa=a,bab=abb infinite ab - - ab:aa=a,bab=abb [00m00s] # 3148 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:1us [00m00s] 3148 ab:aa=a,bba=abb infinite ab - - ab:aa=a,bba=abb [00m00s] # 3149 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:4,work:63,nodes:12,pairs:2,completionMax:9us [00m00s] 3149 ab:aa=a,bbb=aaa finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbb [00m00s] from: 3149 ab:aa=a,bbb=aaa finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [00m00s] # 3150 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:67,nodes:12,pairs:1,completionMax:6us [00m00s] 3150 ab:aa=a,bbb=aab finite:10;idempotents:1,a,bbbb,bbbba b/a - - ab:bbbbb=bbb,ab=bbb,aa=a [00m00s] from: 3150 ab:aa=a,bbb=aab finite:10;idempotents:1,a,bbbb,bbbba to: 970 ab:aa=a,bbb=ab finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [00m00s] # 3151 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:237,nodes:18,pairs:5,completionMax:18us [00m00s] 3151 ab:aa=a,bbb=aba infinite ba - - ab:aa=a,aba=bbb,bbba=bbb,abbb=bbb,bbbbbb=bbbb [00m00s] # 3152 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:100,nodes:12,pairs:1,completionMax:5us [00m00s] 3152 ab:aa=a,bbb=abb infinite ba - - ab:aa=a,abb=bbb,bbbb=bbb [00m00s] # 3153 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:1us [00m00s] 3153 ab:aa=a,bbb=bab infinite ba - - ab:aa=a,bab=bbb [00m00s] # 3154 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:51,nodes:8,pairs:0,completionMax:2us [00m00s] 3154 ab:aa=b,aab=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 3154 ab:aa=b,aab=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 3155 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:50,nodes:8,pairs:0,completionMax:1us [00m00s] 3155 ab:aa=b,aba=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [00m00s] from: 3155 ab:aa=b,aba=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [00m00s] # 3156 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:5,nodes:2,pairs:0,completionMax:1us [00m00s] 3156 ab:aa=b,aba=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 3156 ab:aa=b,aba=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 3157 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:46,nodes:10,pairs:0,completionMax:3us [00m00s] 3157 ab:aa=b,abb=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3157 ab:aa=b,abb=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3158 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:109,nodes:10,pairs:0,completionMax:4us [00m00s] 3158 ab:aa=b,abb=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3158 ab:aa=b,abb=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3159 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:108,nodes:10,pairs:0,completionMax:3us [00m00s] 3159 ab:aa=b,abb=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3159 ab:aa=b,abb=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3160 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:4,nodes:2,pairs:0,completionMax:1us [00m00s] 3160 ab:aa=b,baa=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 3160 ab:aa=b,baa=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 3161 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:107,nodes:10,pairs:0,completionMax:3us [00m00s] 3161 ab:aa=b,baa=abb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3161 ab:aa=b,baa=abb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3162 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:45,nodes:10,pairs:0,completionMax:3us [00m00s] 3162 ab:aa=b,bab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [00m00s] from: 3162 ab:aa=b,bab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [00m00s] # 3163 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:108,nodes:10,pairs:0,completionMax:3us [00m00s] 3163 ab:aa=b,bab=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3163 ab:aa=b,bab=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3164 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:107,nodes:10,pairs:0,completionMax:3us [00m00s] 3164 ab:aa=b,bab=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [00m00s] from: 3164 ab:aa=b,bab=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [00m00s] # 3165 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:11,nodes:2,pairs:0,completionMax:1us [00m00s] 3165 ab:aa=b,bab=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 3165 ab:aa=b,bab=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 3166 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:10,nodes:2,pairs:0,completionMax:0us [00m00s] 3166 ab:aa=b,bba=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [00m00s] from: 3166 ab:aa=b,bba=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [00m00s] # 3167 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:45,nodes:12,pairs:0,completionMax:5us [00m00s] 3167 ab:aa=b,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [00m00s] from: 3167 ab:aa=b,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [00m00s] # 3168 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:84,nodes:12,pairs:0,completionMax:5us [00m00s] 3168 ab:aa=b,bbb=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3168 ab:aa=b,bbb=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3169 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:83,nodes:12,pairs:0,completionMax:4us [00m00s] 3169 ab:aa=b,bbb=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [00m00s] from: 3169 ab:aa=b,bbb=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [00m00s] # 3170 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:195,nodes:12,pairs:0,completionMax:5us [00m00s] 3170 ab:aa=b,bbb=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [00m00s] from: 3170 ab:aa=b,bbb=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [00m00s] # 3171 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:194,nodes:12,pairs:0,completionMax:5us [00m00s] 3171 ab:aa=b,bbb=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [00m00s] from: 3171 ab:aa=b,bbb=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [00m00s] # 3172 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:0,completionMax:3us [00m00s] 3172 ab:ab=a,aab=aaa infinite ab - - ab:ab=a,aaa=aa [00m00s] from: 3172 ab:ab=a,aab=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [00m00s] # 3173 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:2us [00m00s] 3173 ab:ab=a,aba=aaa infinite ab - - ab:ab=a,aaa=aa [00m00s] from: 3173 ab:ab=a,aba=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [00m00s] # 3174 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:1us [00m00s] 3174 ab:ab=a,aba=aab infinite ab - - ab:ab=a [00m00s] from: 3174 ab:ab=a,aba=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [00m00s] # 3175 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:1us [00m00s] 3175 ab:ab=a,abb=aaa infinite ab - - ab:ab=a,aaa=a [00m00s] from: 3175 ab:ab=a,abb=aaa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m00s] # 3176 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:15,nodes:4,pairs:0,completionMax:2us [00m00s] 3176 ab:ab=a,abb=aab infinite ab - - ab:aa=a,ab=a [00m00s] from: 3176 ab:ab=a,abb=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3177 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:4,pairs:0,completionMax:3us [00m00s] 3177 ab:ab=a,abb=aba infinite ab - - ab:aa=a,ab=a [00m00s] from: 3177 ab:ab=a,abb=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m00s] # 3178 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:104,nodes:12,pairs:1,completionMax:13us [00m00s] 3178 ab:ab=a,baa=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [00m00s] # 3179 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:8us [00m00s] 3179 ab:ab=a,baa=aab infinite ab - - ab:ab=a,baa=aa [00m00s] from: 3179 ab:ab=a,baa=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [00m00s] # 3180 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:9us [00m00s] 3180 ab:ab=a,baa=aba infinite ab - - ab:ab=a,baa=aa [00m00s] from: 3180 ab:ab=a,baa=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [00m00s] # 3181 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:85,nodes:10,pairs:3,completionMax:39us [00m00s] 3181 ab:ab=a,baa=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m00s] from: 3181 ab:ab=a,baa=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m00s] # 3182 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:46,nodes:10,pairs:1,completionMax:7us [00m00s] 3182 ab:ab=a,bab=aaa infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [00m00s] from: 3182 ab:ab=a,bab=aaa infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [00m00s] # 3183 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:47,nodes:8,pairs:1,completionMax:8us [00m00s] 3183 ab:ab=a,bab=aab infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3183 ab:ab=a,bab=aab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3184 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:46,nodes:8,pairs:1,completionMax:5us [00m00s] 3184 ab:ab=a,bab=aba infinite ab - - ab:ab=a,ba=aa,aaa=aa [00m00s] from: 3184 ab:ab=a,bab=aba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [00m00s] # 3185 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:2us [00m00s] 3185 ab:ab=a,bab=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [00m00s] from: 3185 ab:ab=a,bab=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [00m00s] # 3186 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:1,completionMax:7us [00m00s] 3186 ab:ab=a,bab=baa infinite ab - - ab:ab=a,aaa=aa,baa=ba [00m00s] from: 3186 ab:ab=a,bab=baa infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [00m00s] # 3187 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:1,completionMax:5us [00m00s] 3187 ab:ab=a,bba=aaa infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [00m00s] # 3188 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:47,nodes:10,pairs:1,completionMax:5us [00m00s] 3188 ab:ab=a,bba=aab infinite ab - - ab:ab=a,aaa=aa,bba=aa [00m00s] from: 3188 ab:ab=a,bba=aab infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [00m00s] # 3189 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:46,nodes:10,pairs:1,completionMax:4us [00m00s] 3189 ab:ab=a,bba=aba infinite ab - - ab:ab=a,aaa=aa,bba=aa [00m00s] from: 3189 ab:ab=a,bba=aba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [00m00s] # 3190 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:1us [00m00s] 3190 ab:ab=a,bba=abb infinite ab - - ab:ab=a,bba=a [00m00s] from: 3190 ab:ab=a,bba=abb infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [00m00s] # 3191 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:10,pairs:1,completionMax:6us [00m00s] 3191 ab:ab=a,bba=baa infinite ab - - ab:ab=a,aaa=aa,bba=baa [00m00s] # 3192 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [00m00s] 3192 ab:ab=a,bba=bab infinite ab - - ab:ab=a,bba=ba [00m00s] from: 3192 ab:ab=a,bba=bab infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [00m00s] # 3193 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:105,nodes:16,pairs:5,completionMax:24us [00m00s] 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [00m00s] # 3194 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:82,nodes:12,pairs:4,completionMax:10us [00m00s] 3194 ab:ab=a,bbb=aab finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [00m00s] from: 3194 ab:ab=a,bbb=aab finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3195 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:81,nodes:12,pairs:4,completionMax:15us [00m00s] 3195 ab:ab=a,bbb=aba finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [00m00s] from: 3195 ab:ab=a,bbb=aba finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m00s] # 3196 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:53,nodes:8,pairs:1,completionMax:5us [00m00s] 3196 ab:ab=a,bbb=abb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [00m00s] from: 3196 ab:ab=a,bbb=abb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [00m00s] # 3197 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:132,nodes:12,pairs:4,completionMax:13us [00m00s] 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [00m00s] # 3198 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:1,work:117,nodes:10,pairs:2,completionMax:8us [00m00s] 3198 ab:ab=a,bbb=bab finite:5;idempotents:1,a,bbb b/a - - ab:bbbb=bbb,ab=a,ba=bbb,aa=a [00m00s] from: 3198 ab:ab=a,bbb=bab finite:5;idempotents:1,a,bbb to: 1022 ab:ab=a,bbb=ba finite:5;idempotents:1,a,bbb a=a,b=b [00m00s] # 3199 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:49,nodes:8,pairs:3,completionMax:6us [00m00s] 3199 ab:ab=a,bbb=bba finite:6;idempotents:1,a,ba,bba ab - - ab:aa=a,ab=a,bbb=bba [00m00s] # 3200 solved: rounds:0,rules:1,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:3us [00m00s] 3200 ab:aa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 3200 ab:aa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 3201 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 3201 ab:aa=1,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3201 ab:aa=1,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3202 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:7,completionMax:16us [00m00s] 3202 ab:aa=1,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3202 ab:aa=1,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3203 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:4,completionMax:8us [00m00s] 3203 ab:aa=1,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3203 ab:aa=1,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3204 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:0us [00m00s] 3204 ab:aa=1,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3204 ab:aa=1,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3205 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:31,nodes:10,pairs:3,completionMax:8us [00m00s] 3205 ab:aa=1,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3205 ab:aa=1,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3206 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:12,nodes:8,pairs:3,completionMax:7us [00m00s] 3206 ab:aa=1,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3206 ab:aa=1,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3207 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 3207 ab:aa=1,aaaabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3207 ab:aa=1,aaaabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3208 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:7,completionMax:10us [00m00s] 3208 ab:aa=1,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3208 ab:aa=1,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3209 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:18,nodes:8,pairs:4,completionMax:6us [00m00s] 3209 ab:aa=1,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3209 ab:aa=1,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3210 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:261,nodes:20,pairs:13,completionMax:26us [00m00s] 3210 ab:aa=1,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3210 ab:aa=1,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3211 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:270,nodes:18,pairs:10,completionMax:32us [00m00s] 3211 ab:aa=1,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3211 ab:aa=1,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3212 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:19,nodes:8,pairs:4,completionMax:7us [00m00s] 3212 ab:aa=1,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3212 ab:aa=1,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3213 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:140,nodes:14,pairs:7,completionMax:21us [00m00s] 3213 ab:aa=1,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3213 ab:aa=1,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3214 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:51,nodes:16,pairs:7,completionMax:15us [00m00s] 3214 ab:aa=1,aaabbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3214 ab:aa=1,aaabbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3215 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:24,nodes:16,pairs:4,completionMax:10us [00m00s] 3215 ab:aa=1,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3215 ab:aa=1,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3216 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:32,nodes:10,pairs:3,completionMax:10us [00m00s] 3216 ab:aa=1,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3216 ab:aa=1,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3217 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:13,nodes:8,pairs:3,completionMax:10us [00m00s] 3217 ab:aa=1,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3217 ab:aa=1,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3218 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:5,nodes:8,pairs:0,completionMax:2us [00m00s] 3218 ab:aa=1,aabaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3218 ab:aa=1,aabaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3219 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:7us [00m00s] 3219 ab:aa=1,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3219 ab:aa=1,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3220 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:70,nodes:12,pairs:5,completionMax:13us [00m00s] 3220 ab:aa=1,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3220 ab:aa=1,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3221 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:183,nodes:14,pairs:10,completionMax:19us [00m00s] 3221 ab:aa=1,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3221 ab:aa=1,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3222 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:337,nodes:24,pairs:10,completionMax:34us [00m00s] 3222 ab:aa=1,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3222 ab:aa=1,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3223 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:1us [00m00s] 3223 ab:aa=1,aabbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3223 ab:aa=1,aabbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3224 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:211,nodes:18,pairs:10,completionMax:28us [00m00s] 3224 ab:aa=1,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3224 ab:aa=1,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3225 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:262,nodes:22,pairs:9,completionMax:32us [00m00s] 3225 ab:aa=1,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3225 ab:aa=1,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3226 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:1us [00m00s] 3226 ab:aa=1,aabbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3226 ab:aa=1,aabbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3227 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:284,nodes:18,pairs:15,completionMax:43us [00m00s] 3227 ab:aa=1,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3227 ab:aa=1,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3228 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:16,nodes:16,pairs:3,completionMax:9us [00m00s] 3228 ab:aa=1,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3228 ab:aa=1,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3229 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:2,nodes:12,pairs:0,completionMax:2us [00m00s] 3229 ab:aa=1,aabbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3229 ab:aa=1,aabbbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3230 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:20,nodes:8,pairs:4,completionMax:10us [00m00s] 3230 ab:aa=1,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3230 ab:aa=1,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3231 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:263,nodes:20,pairs:13,completionMax:28us [00m00s] 3231 ab:aa=1,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3231 ab:aa=1,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3232 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:272,nodes:18,pairs:10,completionMax:36us [00m00s] 3232 ab:aa=1,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3232 ab:aa=1,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3233 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:142,nodes:14,pairs:7,completionMax:19us [00m00s] 3233 ab:aa=1,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3233 ab:aa=1,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3234 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:7,completionMax:17us [00m00s] 3234 ab:aa=1,abaabba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3234 ab:aa=1,abaabba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3235 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:26,nodes:16,pairs:4,completionMax:10us [00m00s] 3235 ab:aa=1,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3235 ab:aa=1,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3236 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:274,nodes:18,pairs:10,completionMax:30us [00m00s] 3236 ab:aa=1,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3236 ab:aa=1,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3237 solved: rounds:2,rules:3,peak:4,longest:7,steps:8,word:0,work:262,nodes:18,pairs:9,completionMax:19us [00m00s] 3237 ab:aa=1,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3237 ab:aa=1,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3238 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2366,nodes:26,pairs:65,completionMax:185us [00m00s] 3238 ab:aa=1,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3238 ab:aa=1,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3239 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:584,nodes:28,pairs:23,completionMax:68us [00m00s] 3239 ab:aa=1,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3239 ab:aa=1,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3240 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:474,nodes:24,pairs:35,completionMax:65us [00m00s] 3240 ab:aa=1,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3240 ab:aa=1,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3241 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1562,nodes:42,pairs:21,completionMax:91us [00m00s] 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [00m00s] # 3242 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:143,nodes:14,pairs:7,completionMax:19us [00m00s] 3242 ab:aa=1,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3242 ab:aa=1,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3243 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:27,nodes:16,pairs:4,completionMax:10us [00m00s] 3243 ab:aa=1,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3243 ab:aa=1,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3244 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:738,nodes:30,pairs:30,completionMax:87us [00m00s] 3244 ab:aa=1,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3244 ab:aa=1,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3245 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:6,work:600,nodes:36,pairs:13,completionMax:41us [00m00s] 3245 ab:aa=1,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3245 ab:aa=1,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3246 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:648,nodes:24,pairs:17,completionMax:51us [00m00s] 3246 ab:aa=1,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 3246 ab:aa=1,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 3247 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:28,nodes:16,pairs:4,completionMax:14us [00m00s] 3247 ab:aa=1,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3247 ab:aa=1,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3248 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:302,nodes:24,pairs:7,completionMax:29us [00m00s] 3248 ab:aa=1,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 3248 ab:aa=1,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 3249 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7160,nodes:86,pairs:16,completionMax:195us [00m00s] 3249 ab:aa=1,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [00m00s] from: 3249 ab:aa=1,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [00m00s] # 3250 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:67,nodes:24,pairs:7,completionMax:19us [00m00s] 3250 ab:aa=1,abbbbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3250 ab:aa=1,abbbbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3251 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:32,nodes:24,pairs:4,completionMax:12us [00m00s] 3251 ab:aa=1,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [00m00s] from: 3251 ab:aa=1,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [00m00s] # 3252 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:9us [00m00s] 3252 ab:aa=1,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3252 ab:aa=1,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3253 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:1us [00m00s] 3253 ab:aa=1,baaaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3253 ab:aa=1,baaaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3254 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:71,nodes:12,pairs:5,completionMax:10us [00m00s] 3254 ab:aa=1,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3254 ab:aa=1,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3255 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:338,nodes:24,pairs:10,completionMax:38us [00m00s] 3255 ab:aa=1,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3255 ab:aa=1,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3256 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:4us [00m00s] 3256 ab:aa=1,baabaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3256 ab:aa=1,baabaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3257 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:263,nodes:22,pairs:9,completionMax:44us [00m00s] 3257 ab:aa=1,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3257 ab:aa=1,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3258 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:285,nodes:18,pairs:15,completionMax:50us [00m00s] 3258 ab:aa=1,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3258 ab:aa=1,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3259 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:12,pairs:0,completionMax:3us [00m00s] 3259 ab:aa=1,baabbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3259 ab:aa=1,baabbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3260 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:340,nodes:24,pairs:10,completionMax:38us [00m00s] 3260 ab:aa=1,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3260 ab:aa=1,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3261 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:210,nodes:18,pairs:7,completionMax:25us [00m00s] 3261 ab:aa=1,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3261 ab:aa=1,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3262 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12620,nodes:86,pairs:92,completionMax:586us [00m00s] 3262 ab:aa=1,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [00m00s] from: 3262 ab:aa=1,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [00m00s] # 3263 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:318,nodes:16,pairs:6,completionMax:23us [00m00s] 3263 ab:aa=1,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 3263 ab:aa=1,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 3264 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2491,nodes:38,pairs:63,completionMax:196us [00m00s] 3264 ab:aa=1,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 3264 ab:aa=1,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 3265 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:677,nodes:40,pairs:20,completionMax:63us [00m00s] 3265 ab:aa=1,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [00m00s] from: 3265 ab:aa=1,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [00m00s] # 3266 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:264,nodes:22,pairs:9,completionMax:32us [00m00s] 3266 ab:aa=1,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3266 ab:aa=1,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3267 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:3us [00m00s] 3267 ab:aa=1,bbaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3267 ab:aa=1,bbaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3268 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13296,nodes:86,pairs:91,completionMax:607us [00m00s] 3268 ab:aa=1,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [00m00s] from: 3268 ab:aa=1,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [00m00s] # 3269 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1187,nodes:40,pairs:19,completionMax:80us [00m00s] 3269 ab:aa=1,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [00m00s] from: 3269 ab:aa=1,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [00m00s] # 3270 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:541,nodes:32,pairs:12,completionMax:53us [00m00s] 3270 ab:aa=1,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [00m00s] from: 3270 ab:aa=1,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [00m00s] # 3271 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:4us [00m00s] 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [00m00s] # 3272 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:14,pairs:1,completionMax:7us [00m00s] 3272 ab:ab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [00m00s] from: 3272 ab:ab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 3273 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:10,pairs:1,completionMax:7us [00m00s] 3273 ab:ab=1,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3273 ab:ab=1,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3274 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:11,nodes:10,pairs:1,completionMax:4us [00m00s] 3274 ab:ab=1,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3274 ab:ab=1,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3275 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:4us [00m00s] 3275 ab:ab=1,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3275 ab:ab=1,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3276 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:4us [00m00s] 3276 ab:ab=1,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3276 ab:ab=1,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3277 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:3us [00m00s] 3277 ab:ab=1,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3277 ab:ab=1,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3278 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:4us [00m00s] 3278 ab:ab=1,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3278 ab:ab=1,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3279 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:3us [00m00s] 3279 ab:ab=1,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3279 ab:ab=1,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3280 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:5us [00m00s] 3280 ab:ab=1,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3280 ab:ab=1,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3281 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:3us [00m00s] 3281 ab:ab=1,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3281 ab:ab=1,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3282 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:3us [00m00s] 3282 ab:ab=1,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3282 ab:ab=1,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3283 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:2us [00m00s] 3283 ab:ab=1,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3283 ab:ab=1,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3284 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:3us [00m00s] 3284 ab:ab=1,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3284 ab:ab=1,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3285 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:2us [00m00s] 3285 ab:ab=1,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3285 ab:ab=1,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3286 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [00m00s] 3286 ab:ab=1,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3286 ab:ab=1,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3287 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:7us [00m00s] 3287 ab:ab=1,aabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3287 ab:ab=1,aabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3288 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:4us [00m00s] 3288 ab:ab=1,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3288 ab:ab=1,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3289 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [00m00s] 3289 ab:ab=1,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3289 ab:ab=1,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3290 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [00m00s] 3290 ab:ab=1,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3290 ab:ab=1,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3291 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [00m00s] 3291 ab:ab=1,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3291 ab:ab=1,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3292 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [00m00s] 3292 ab:ab=1,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3292 ab:ab=1,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3293 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [00m00s] 3293 ab:ab=1,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3293 ab:ab=1,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3294 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:4us [00m00s] 3294 ab:ab=1,aabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3294 ab:ab=1,aabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3295 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [00m00s] 3295 ab:ab=1,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3295 ab:ab=1,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3296 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 3296 ab:ab=1,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3296 ab:ab=1,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3297 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:12us [00m00s] 3297 ab:ab=1,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3297 ab:ab=1,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3298 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [00m00s] 3298 ab:ab=1,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3298 ab:ab=1,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3299 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:18us [00m00s] 3299 ab:ab=1,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3299 ab:ab=1,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3300 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:6us [00m00s] 3300 ab:ab=1,abaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3300 ab:ab=1,abaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3301 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:3us [00m00s] 3301 ab:ab=1,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3301 ab:ab=1,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3302 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:3us [00m00s] 3302 ab:ab=1,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3302 ab:ab=1,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3303 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:5us [00m00s] 3303 ab:ab=1,abaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3303 ab:ab=1,abaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3304 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [00m00s] 3304 ab:ab=1,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3304 ab:ab=1,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3305 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 3305 ab:ab=1,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3305 ab:ab=1,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3306 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [00m00s] 3306 ab:ab=1,ababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3306 ab:ab=1,ababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3307 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 3307 ab:ab=1,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3307 ab:ab=1,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3308 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:1,completionMax:2us [00m00s] 3308 ab:ab=1,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3308 ab:ab=1,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3309 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:11us [00m00s] 3309 ab:ab=1,ababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3309 ab:ab=1,ababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3310 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:10us [00m00s] 3310 ab:ab=1,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3310 ab:ab=1,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3311 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:95,nodes:16,pairs:10,completionMax:21us [00m00s] 3311 ab:ab=1,abbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3311 ab:ab=1,abbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3312 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:14us [00m00s] 3312 ab:ab=1,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3312 ab:ab=1,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3313 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:9us [00m00s] 3313 ab:ab=1,abbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3313 ab:ab=1,abbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3314 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:16us [00m00s] 3314 ab:ab=1,abbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3314 ab:ab=1,abbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3315 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:17us [00m00s] 3315 ab:ab=1,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3315 ab:ab=1,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3316 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:113,nodes:16,pairs:21,completionMax:24us [00m00s] 3316 ab:ab=1,abbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3316 ab:ab=1,abbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3317 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:11us [00m00s] 3317 ab:ab=1,abbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3317 ab:ab=1,abbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3318 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:77,nodes:14,pairs:8,completionMax:20us [00m00s] 3318 ab:ab=1,abbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3318 ab:ab=1,abbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3319 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:200,nodes:12,pairs:10,completionMax:35us [00m00s] 3319 ab:ab=1,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3319 ab:ab=1,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3320 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:175,nodes:24,pairs:12,completionMax:37us [00m00s] 3320 ab:ab=1,baaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3320 ab:ab=1,baaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3321 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:99,nodes:16,pairs:10,completionMax:33us [00m00s] 3321 ab:ab=1,baaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3321 ab:ab=1,baaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3322 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:98,nodes:16,pairs:10,completionMax:23us [00m00s] 3322 ab:ab=1,baaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3322 ab:ab=1,baaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3323 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:17us [00m00s] 3323 ab:ab=1,baaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3323 ab:ab=1,baaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3324 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:97,nodes:16,pairs:10,completionMax:24us [00m00s] 3324 ab:ab=1,baabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3324 ab:ab=1,baabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3325 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:19us [00m00s] 3325 ab:ab=1,baababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3325 ab:ab=1,baababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3326 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:9us [00m00s] 3326 ab:ab=1,baabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3326 ab:ab=1,baabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3327 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:96,nodes:16,pairs:10,completionMax:20us [00m00s] 3327 ab:ab=1,babaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3327 ab:ab=1,babaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3328 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:15us [00m00s] 3328 ab:ab=1,babaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3328 ab:ab=1,babaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3329 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:13us [00m00s] 3329 ab:ab=1,bababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3329 ab:ab=1,bababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3330 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:114,nodes:16,pairs:21,completionMax:35us [00m00s] 3330 ab:ab=1,babbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3330 ab:ab=1,babbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3331 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:78,nodes:14,pairs:8,completionMax:28us [00m00s] 3331 ab:ab=1,babbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3331 ab:ab=1,babbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3332 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:226,nodes:28,pairs:16,completionMax:48us [00m00s] 3332 ab:ab=1,bbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3332 ab:ab=1,bbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3333 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:116,nodes:16,pairs:21,completionMax:33us [00m00s] 3333 ab:ab=1,bbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3333 ab:ab=1,bbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3334 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:115,nodes:16,pairs:21,completionMax:34us [00m00s] 3334 ab:ab=1,bbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3334 ab:ab=1,bbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3335 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:201,nodes:22,pairs:21,completionMax:31us [00m00s] 3335 ab:ab=1,bbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3335 ab:ab=1,bbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3336 solved: rounds:0,rules:1,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:3us [00m00s] 3336 ab:aa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 3336 ab:aa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 3337 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 3337 ab:aa=1,aaaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3337 ab:aa=1,aaaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3338 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:4us [00m00s] 3338 ab:aa=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3338 ab:aa=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3339 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:2us [00m00s] 3339 ab:aa=1,aaaaab=b infinite ab - - ab:aa=1,ab=b [00m00s] from: 3339 ab:aa=1,aaaaab=b infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3340 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:2us [00m00s] 3340 ab:aa=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3340 ab:aa=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3341 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m00s] 3341 ab:aa=1,aaaaba=b infinite ab - - ab:aa=1,ba=b [00m00s] from: 3341 ab:aa=1,aaaaba=b infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3342 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:14,nodes:8,pairs:2,completionMax:7us [00m00s] 3342 ab:aa=1,aaaabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3342 ab:aa=1,aaaabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3343 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:2us [00m00s] 3343 ab:aa=1,aaaabb=b infinite ab - - ab:aa=1,bb=b [00m00s] from: 3343 ab:aa=1,aaaabb=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3344 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [00m00s] 3344 ab:aa=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3344 ab:aa=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3345 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [00m00s] 3345 ab:aa=1,aaabaa=b infinite ab - - ab:aa=1,ab=b [00m00s] from: 3345 ab:aa=1,aaabaa=b infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3346 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:79,nodes:14,pairs:11,completionMax:24us [00m00s] 3346 ab:aa=1,aaabab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3346 ab:aa=1,aaabab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3347 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:6,completionMax:15us [00m00s] 3347 ab:aa=1,aaabab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3347 ab:aa=1,aaabab=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3348 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:42,nodes:12,pairs:8,completionMax:19us [00m00s] 3348 ab:aa=1,aaabba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3348 ab:aa=1,aaabba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3349 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:121,nodes:16,pairs:7,completionMax:24us [00m00s] 3349 ab:aa=1,aaabba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3349 ab:aa=1,aaabba=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3350 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:7us [00m00s] 3350 ab:aa=1,aaabbb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3350 ab:aa=1,aaabbb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3351 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:3,completionMax:11us [00m00s] 3351 ab:aa=1,aaabbb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3351 ab:aa=1,aaabbb=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3352 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:15,nodes:8,pairs:2,completionMax:6us [00m00s] 3352 ab:aa=1,aabaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3352 ab:aa=1,aabaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3353 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [00m00s] 3353 ab:aa=1,aabaab=b infinite ab - - ab:aa=1,bb=b [00m00s] from: 3353 ab:aa=1,aabaab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3354 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:82,nodes:14,pairs:11,completionMax:20us [00m00s] 3354 ab:aa=1,aababa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3354 ab:aa=1,aababa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3355 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:84,nodes:12,pairs:6,completionMax:22us [00m00s] 3355 ab:aa=1,aababa=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [00m00s] from: 3355 ab:aa=1,aababa=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [00m00s] # 3356 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:263,nodes:18,pairs:8,completionMax:38us [00m00s] 3356 ab:aa=1,aababb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3356 ab:aa=1,aababb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3357 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:2us [00m00s] 3357 ab:aa=1,aababb=b infinite ab - - ab:aa=1,babb=b [00m00s] from: 3357 ab:aa=1,aababb=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [00m00s] # 3358 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:16,nodes:8,pairs:2,completionMax:7us [00m00s] 3358 ab:aa=1,aabbaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3358 ab:aa=1,aabbaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3359 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:1us [00m00s] 3359 ab:aa=1,aabbaa=b infinite ab - - ab:aa=1,bb=b [00m00s] from: 3359 ab:aa=1,aabbaa=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3360 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:205,nodes:18,pairs:8,completionMax:57us [00m00s] 3360 ab:aa=1,aabbab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3360 ab:aa=1,aabbab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3361 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:1us [00m00s] 3361 ab:aa=1,aabbab=b infinite ab - - ab:aa=1,bbab=b [00m00s] from: 3361 ab:aa=1,aabbab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [00m00s] # 3362 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:5us [00m00s] 3362 ab:aa=1,aabbba=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3362 ab:aa=1,aabbba=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3363 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:23,nodes:12,pairs:2,completionMax:9us [00m00s] 3363 ab:aa=1,aabbba=b finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m00s] from: 3363 ab:aa=1,aabbba=b finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m00s] # 3364 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:18,nodes:16,pairs:2,completionMax:11us [00m00s] 3364 ab:aa=1,aabbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3364 ab:aa=1,aabbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3365 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [00m00s] 3365 ab:aa=1,aabbbb=b infinite ab - - ab:aa=1,bbbb=b [00m00s] from: 3365 ab:aa=1,aabbbb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [00m00s] # 3366 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:81,nodes:14,pairs:11,completionMax:30us [00m00s] 3366 ab:aa=1,abaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3366 ab:aa=1,abaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3367 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:6,completionMax:15us [00m00s] 3367 ab:aa=1,abaaab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3367 ab:aa=1,abaaab=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3368 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:44,nodes:12,pairs:8,completionMax:18us [00m00s] 3368 ab:aa=1,abaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3368 ab:aa=1,abaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3369 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:123,nodes:16,pairs:7,completionMax:25us [00m00s] 3369 ab:aa=1,abaaba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3369 ab:aa=1,abaaba=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3370 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:8us [00m00s] 3370 ab:aa=1,abaabb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3370 ab:aa=1,abaabb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3371 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:28,nodes:12,pairs:3,completionMax:47us [00m00s] 3371 ab:aa=1,abaabb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3371 ab:aa=1,abaabb=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3372 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:155,nodes:16,pairs:10,completionMax:26us [00m00s] 3372 ab:aa=1,ababab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3372 ab:aa=1,ababab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3373 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:228,nodes:16,pairs:11,completionMax:25us [00m00s] 3373 ab:aa=1,ababab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3373 ab:aa=1,ababab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3374 solved: rounds:3,rules:3,peak:5,longest:6,steps:5,word:0,work:277,nodes:20,pairs:18,completionMax:46us [00m00s] 3374 ab:aa=1,ababba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3374 ab:aa=1,ababba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3375 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:763,nodes:24,pairs:22,completionMax:52us [00m00s] 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [00m00s] # 3376 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:346,nodes:24,pairs:12,completionMax:36us [00m00s] 3376 ab:aa=1,ababbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3376 ab:aa=1,ababbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3377 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:685,nodes:20,pairs:13,completionMax:62us [00m00s] 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [00m00s] # 3378 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:12,pairs:1,completionMax:5us [00m00s] 3378 ab:aa=1,abbaab=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3378 ab:aa=1,abbaab=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3379 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:29,nodes:12,pairs:3,completionMax:11us [00m00s] 3379 ab:aa=1,abbaab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3379 ab:aa=1,abbaab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3380 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:145,nodes:26,pairs:13,completionMax:36us [00m00s] 3380 ab:aa=1,abbabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3380 ab:aa=1,abbabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3381 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:347,nodes:20,pairs:7,completionMax:30us [00m00s] 3381 ab:aa=1,abbabb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [00m00s] from: 3381 ab:aa=1,abbabb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [00m00s] # 3382 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:732,nodes:26,pairs:35,completionMax:88us [00m00s] 3382 ab:aa=1,abbbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3382 ab:aa=1,abbbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3383 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:120,nodes:20,pairs:6,completionMax:18us [00m00s] 3383 ab:aa=1,abbbab=b infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [00m00s] # 3384 solved: rounds:3,rules:2,peak:4,longest:8,steps:1,word:3,work:71,nodes:20,pairs:10,completionMax:30us [00m00s] 3384 ab:aa=1,abbbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3384 ab:aa=1,abbbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3385 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:697,nodes:64,pairs:8,completionMax:47us [00m00s] 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [00m00s] # 3386 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:2,nodes:20,pairs:1,completionMax:7us [00m00s] 3386 ab:aa=1,abbbbb=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3386 ab:aa=1,abbbbb=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3387 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:40,nodes:20,pairs:3,completionMax:7us [00m00s] 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [00m00s] # 3388 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:16,nodes:8,pairs:2,completionMax:7us [00m00s] 3388 ab:aa=1,baaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3388 ab:aa=1,baaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3389 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:3us [00m00s] 3389 ab:aa=1,baaaab=b infinite ab - - ab:aa=1,bb=b [00m00s] from: 3389 ab:aa=1,baaaab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3390 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:264,nodes:18,pairs:8,completionMax:28us [00m00s] 3390 ab:aa=1,baaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3390 ab:aa=1,baaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3391 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:6us [00m00s] 3391 ab:aa=1,baaabb=b infinite ab - - ab:aa=1,babb=b [00m00s] from: 3391 ab:aa=1,baaabb=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [00m00s] # 3392 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:206,nodes:18,pairs:8,completionMax:25us [00m00s] 3392 ab:aa=1,baabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3392 ab:aa=1,baabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3393 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [00m00s] 3393 ab:aa=1,baabab=b infinite ab - - ab:aa=1,bbab=b [00m00s] from: 3393 ab:aa=1,baabab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [00m00s] # 3394 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:19,nodes:16,pairs:2,completionMax:12us [00m00s] 3394 ab:aa=1,baabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3394 ab:aa=1,baabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3395 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:5us [00m00s] 3395 ab:aa=1,baabbb=b infinite ab - - ab:aa=1,bbbb=b [00m00s] from: 3395 ab:aa=1,baabbb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [00m00s] # 3396 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:6,work:2357,nodes:26,pairs:63,completionMax:235us [00m00s] 3396 ab:aa=1,bababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3396 ab:aa=1,bababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3397 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:2us [00m00s] 3397 ab:aa=1,bababb=b infinite ab - - ab:aa=1,bababb=b [00m00s] # 3398 solved: rounds:3,rules:2,peak:7,longest:15,steps:19,word:9,work:1226,nodes:44,pairs:20,completionMax:111us [00m00s] 3398 ab:aa=1,babbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3398 ab:aa=1,babbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3399 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:131,nodes:18,pairs:2,completionMax:17us [00m00s] 3399 ab:aa=1,babbab=b infinite ab - - ab:aa=1,bbab=babb,bababb=b [00m00s] # 3400 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1553,nodes:42,pairs:19,completionMax:133us [00m00s] 3400 ab:aa=1,babbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [00m00s] from: 3400 ab:aa=1,babbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [00m00s] # 3401 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:2us [00m00s] 3401 ab:aa=1,babbbb=b infinite ab - - ab:aa=1,babbbb=b [00m00s] # 3402 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:20,nodes:16,pairs:2,completionMax:6us [00m00s] 3402 ab:aa=1,bbaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3402 ab:aa=1,bbaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3403 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [00m00s] 3403 ab:aa=1,bbaabb=b infinite ab - - ab:aa=1,bbbb=b [00m00s] from: 3403 ab:aa=1,bbaabb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [00m00s] # 3404 solved: rounds:3,rules:3,peak:6,longest:7,steps:7,word:0,work:631,nodes:22,pairs:14,completionMax:48us [00m00s] 3404 ab:aa=1,bbabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [00m00s] from: 3404 ab:aa=1,bbabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [00m00s] # 3405 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1002,nodes:26,pairs:7,completionMax:51us [00m00s] 3405 ab:aa=1,bbabbb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [00m00s] # 3406 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:22,nodes:24,pairs:2,completionMax:16us [00m00s] 3406 ab:aa=1,bbbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [00m00s] from: 3406 ab:aa=1,bbbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [00m00s] # 3407 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:4us [00m00s] 3407 ab:aa=1,bbbbbb=b infinite ab - - ab:aa=1,bbbbbb=b [00m00s] # 3408 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:39,nodes:12,pairs:2,completionMax:20us [00m00s] 3408 ab:ab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3408 ab:ab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3409 solved: rounds:1,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:14,pairs:1,completionMax:8us [00m00s] 3409 ab:ab=1,aaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [00m00s] from: 3409 ab:ab=1,aaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 3410 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:2,completionMax:13us [00m00s] 3410 ab:ab=1,aaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3410 ab:ab=1,aaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3411 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:3us [00m00s] 3411 ab:ab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3411 ab:ab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3412 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:2,completionMax:10us [00m00s] 3412 ab:ab=1,aaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3412 ab:ab=1,aaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3413 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:4us [00m00s] 3413 ab:ab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3413 ab:ab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3414 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:6us [00m00s] 3414 ab:ab=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3414 ab:ab=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3415 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:3us [00m00s] 3415 ab:ab=1,aaaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3415 ab:ab=1,aaaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3416 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:2,completionMax:8us [00m00s] 3416 ab:ab=1,aaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3416 ab:ab=1,aaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3417 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:4us [00m00s] 3417 ab:ab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3417 ab:ab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3418 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:4us [00m00s] 3418 ab:ab=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3418 ab:ab=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3419 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:6us [00m00s] 3419 ab:ab=1,aaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3419 ab:ab=1,aaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3420 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:12us [00m00s] 3420 ab:ab=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3420 ab:ab=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3421 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:6us [00m00s] 3421 ab:ab=1,aaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3421 ab:ab=1,aaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3422 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:1us [00m00s] 3422 ab:ab=1,aaabbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3422 ab:ab=1,aaabbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3423 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:28,nodes:8,pairs:2,completionMax:16us [00m00s] 3423 ab:ab=1,aabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3423 ab:ab=1,aabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3424 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:10,pairs:1,completionMax:6us [00m00s] 3424 ab:ab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3424 ab:ab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3425 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:4us [00m00s] 3425 ab:ab=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3425 ab:ab=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3426 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:5us [00m00s] 3426 ab:ab=1,aabaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3426 ab:ab=1,aabaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3427 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:15,nodes:4,pairs:2,completionMax:5us [00m00s] 3427 ab:ab=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3427 ab:ab=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3428 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:7us [00m00s] 3428 ab:ab=1,aababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3428 ab:ab=1,aababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3429 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:1us [00m00s] 3429 ab:ab=1,aababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3429 ab:ab=1,aababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3430 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:14,nodes:4,pairs:2,completionMax:3us [00m00s] 3430 ab:ab=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3430 ab:ab=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3431 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:5,nodes:6,pairs:1,completionMax:5us [00m00s] 3431 ab:ab=1,aabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3431 ab:ab=1,aabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3432 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:2us [00m00s] 3432 ab:ab=1,aabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3432 ab:ab=1,aabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3433 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:6us [00m00s] 3433 ab:ab=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3433 ab:ab=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3434 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:4,completionMax:11us [00m00s] 3434 ab:ab=1,aabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3434 ab:ab=1,aabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3435 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:19,nodes:6,pairs:3,completionMax:9us [00m00s] 3435 ab:ab=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3435 ab:ab=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3436 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:8,pairs:2,completionMax:25us [00m00s] 3436 ab:ab=1,abaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3436 ab:ab=1,abaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3437 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:2,nodes:10,pairs:1,completionMax:9us [00m00s] 3437 ab:ab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3437 ab:ab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3438 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:15,nodes:4,pairs:2,completionMax:6us [00m00s] 3438 ab:ab=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3438 ab:ab=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3439 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:7us [00m00s] 3439 ab:ab=1,abaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3439 ab:ab=1,abaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3440 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:14,nodes:4,pairs:2,completionMax:4us [00m00s] 3440 ab:ab=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3440 ab:ab=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3441 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:5,nodes:6,pairs:1,completionMax:6us [00m00s] 3441 ab:ab=1,abaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3441 ab:ab=1,abaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3442 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:13,nodes:4,pairs:2,completionMax:6us [00m00s] 3442 ab:ab=1,ababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3442 ab:ab=1,ababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3443 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:4,nodes:6,pairs:1,completionMax:9us [00m00s] 3443 ab:ab=1,ababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3443 ab:ab=1,ababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3444 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:1,completionMax:6us [00m00s] 3444 ab:ab=1,ababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3444 ab:ab=1,ababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3445 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:19,nodes:6,pairs:4,completionMax:10us [00m00s] 3445 ab:ab=1,ababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3445 ab:ab=1,ababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3446 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:18,nodes:6,pairs:3,completionMax:10us [00m00s] 3446 ab:ab=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3446 ab:ab=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3447 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:12,pairs:12,completionMax:30us [00m00s] 3447 ab:ab=1,abbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3447 ab:ab=1,abbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3448 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:37,nodes:12,pairs:4,completionMax:18us [00m00s] 3448 ab:ab=1,abbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3448 ab:ab=1,abbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3449 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:4,completionMax:13us [00m00s] 3449 ab:ab=1,abbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3449 ab:ab=1,abbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3450 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:4,completionMax:9us [00m00s] 3450 ab:ab=1,abbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3450 ab:ab=1,abbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3451 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:19,nodes:6,pairs:3,completionMax:7us [00m00s] 3451 ab:ab=1,abbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3451 ab:ab=1,abbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3452 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:93,nodes:12,pairs:14,completionMax:40us [00m00s] 3452 ab:ab=1,abbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3452 ab:ab=1,abbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3453 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:92,nodes:12,pairs:14,completionMax:16us [00m00s] 3453 ab:ab=1,abbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3453 ab:ab=1,abbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3454 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:134,nodes:12,pairs:14,completionMax:38us [00m00s] 3454 ab:ab=1,abbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3454 ab:ab=1,abbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3455 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:80,nodes:10,pairs:13,completionMax:20us [00m00s] 3455 ab:ab=1,abbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3455 ab:ab=1,abbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3456 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:168,nodes:20,pairs:13,completionMax:60us [00m00s] 3456 ab:ab=1,baaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3456 ab:ab=1,baaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3457 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:49,nodes:20,pairs:4,completionMax:29us [00m00s] 3457 ab:ab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3457 ab:ab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3458 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:26us [00m00s] 3458 ab:ab=1,baaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3458 ab:ab=1,baaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3459 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:4,completionMax:15us [00m00s] 3459 ab:ab=1,baaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3459 ab:ab=1,baaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3460 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:12,pairs:12,completionMax:28us [00m00s] 3460 ab:ab=1,baabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3460 ab:ab=1,baabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3461 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:12,pairs:4,completionMax:17us [00m00s] 3461 ab:ab=1,baabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3461 ab:ab=1,baabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3462 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:10us [00m00s] 3462 ab:ab=1,baabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3462 ab:ab=1,baabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3463 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:73,nodes:12,pairs:12,completionMax:16us [00m00s] 3463 ab:ab=1,babaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3463 ab:ab=1,babaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3464 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:38,nodes:12,pairs:4,completionMax:10us [00m00s] 3464 ab:ab=1,babaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3464 ab:ab=1,babaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3465 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:4,completionMax:7us [00m00s] 3465 ab:ab=1,bababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3465 ab:ab=1,bababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3466 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:94,nodes:12,pairs:14,completionMax:30us [00m00s] 3466 ab:ab=1,babbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3466 ab:ab=1,babbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3467 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:93,nodes:12,pairs:14,completionMax:37us [00m00s] 3467 ab:ab=1,babbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3467 ab:ab=1,babbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3468 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:311,nodes:22,pairs:35,completionMax:43us [00m00s] 3468 ab:ab=1,bbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3468 ab:ab=1,bbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3469 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:277,nodes:22,pairs:23,completionMax:56us [00m00s] 3469 ab:ab=1,bbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3469 ab:ab=1,bbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3470 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:32us [00m00s] 3470 ab:ab=1,bbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3470 ab:ab=1,bbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3471 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:354,nodes:20,pairs:19,completionMax:42us [00m00s] 3471 ab:ab=1,bbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3471 ab:ab=1,bbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3472 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:3us [00m00s] 3472 ab:aa=1,aaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 3472 ab:aa=1,aaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 3473 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:3us [00m00s] 3473 ab:aa=1,aaaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3473 ab:aa=1,aaaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3474 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:14,nodes:8,pairs:2,completionMax:8us [00m00s] 3474 ab:aa=1,aaaaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3474 ab:aa=1,aaaaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3475 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:2us [00m00s] 3475 ab:aa=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3475 ab:aa=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3476 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 3476 ab:aa=1,aaaab=ab infinite ab - - ab:aa=1,ab=b [00m00s] from: 3476 ab:aa=1,aaaab=ab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3477 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m00s] 3477 ab:aa=1,aaaab=ba infinite ab - - ab:aa=1,ba=b [00m00s] from: 3477 ab:aa=1,aaaab=ba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3478 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [00m00s] 3478 ab:aa=1,aaaab=bb infinite ab - - ab:aa=1,bb=b [00m00s] from: 3478 ab:aa=1,aaaab=bb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3479 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:7,completionMax:9us [00m00s] 3479 ab:aa=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3479 ab:aa=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3480 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:2,completionMax:3us [00m00s] 3480 ab:aa=1,aaaba=ab infinite ab - - ab:aa=1,ba=b [00m00s] from: 3480 ab:aa=1,aaaba=ab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3481 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:6us [00m00s] 3481 ab:aa=1,aaaba=ba infinite ab - - ab:aa=1,ab=b [00m00s] from: 3481 ab:aa=1,aaaba=ba infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3482 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:135,nodes:16,pairs:8,completionMax:22us [00m00s] 3482 ab:aa=1,aaaba=bb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3482 ab:aa=1,aaaba=bb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3483 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:16,nodes:8,pairs:4,completionMax:13us [00m00s] 3483 ab:aa=1,aaabb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3483 ab:aa=1,aaabb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3484 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:1,completionMax:4us [00m00s] 3484 ab:aa=1,aaabb=ab infinite ab - - ab:aa=1,bb=b [00m00s] from: 3484 ab:aa=1,aaabb=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3485 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:42,nodes:10,pairs:1,completionMax:5us [00m00s] 3485 ab:aa=1,aaabb=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3485 ab:aa=1,aaabb=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3486 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:2us [00m00s] 3486 ab:aa=1,aaabb=bb infinite ab - - ab:aa=1,abb=bb [00m00s] from: 3486 ab:aa=1,aaabb=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [00m00s] # 3487 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [00m00s] 3487 ab:aa=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3487 ab:aa=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3488 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:3us [00m00s] 3488 ab:aa=1,aabaa=ab infinite ab - - ab:aa=1,ab=b [00m00s] from: 3488 ab:aa=1,aabaa=ab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3489 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:3us [00m00s] 3489 ab:aa=1,aabaa=bb infinite ab - - ab:aa=1,bb=b [00m00s] from: 3489 ab:aa=1,aabaa=bb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3490 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:31,nodes:10,pairs:3,completionMax:11us [00m00s] 3490 ab:aa=1,aabab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3490 ab:aa=1,aabab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3491 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:27,nodes:8,pairs:1,completionMax:5us [00m00s] 3491 ab:aa=1,aabab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3491 ab:aa=1,aabab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3492 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:26,nodes:8,pairs:1,completionMax:3us [00m00s] 3492 ab:aa=1,aabab=ba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [00m00s] from: 3492 ab:aa=1,aabab=ba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [00m00s] # 3493 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:1us [00m00s] 3493 ab:aa=1,aabab=bb infinite ab - - ab:aa=1,bab=bb [00m00s] from: 3493 ab:aa=1,aabab=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [00m00s] # 3494 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:12,nodes:8,pairs:3,completionMax:7us [00m00s] 3494 ab:aa=1,aabba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3494 ab:aa=1,aabba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3495 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:80,nodes:12,pairs:4,completionMax:17us [00m00s] 3495 ab:aa=1,aabba=ab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3495 ab:aa=1,aabba=ab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3496 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:1,completionMax:5us [00m00s] 3496 ab:aa=1,aabba=ba infinite ab - - ab:aa=1,bb=b [00m00s] from: 3496 ab:aa=1,aabba=ba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3497 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:2us [00m00s] 3497 ab:aa=1,aabba=bb infinite ab - - ab:aa=1,bba=bb [00m00s] from: 3497 ab:aa=1,aabba=bb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [00m00s] # 3498 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 3498 ab:aa=1,aabbb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3498 ab:aa=1,aabbb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3499 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:21,nodes:12,pairs:1,completionMax:6us [00m00s] 3499 ab:aa=1,aabbb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3499 ab:aa=1,aabbb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3500 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:23,nodes:12,pairs:1,completionMax:10us [00m00s] 3500 ab:aa=1,aabbb=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m00s] from: 3500 ab:aa=1,aabbb=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m00s] # 3501 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:0us [00m00s] 3501 ab:aa=1,aabbb=bb infinite ab - - ab:aa=1,bbb=bb [00m00s] from: 3501 ab:aa=1,aabbb=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [00m00s] # 3502 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:18,nodes:8,pairs:4,completionMax:16us [00m00s] 3502 ab:aa=1,abaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3502 ab:aa=1,abaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3503 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:7us [00m00s] 3503 ab:aa=1,abaab=ab infinite ab - - ab:aa=1,bb=b [00m00s] from: 3503 ab:aa=1,abaab=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3504 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:44,nodes:10,pairs:1,completionMax:5us [00m00s] 3504 ab:aa=1,abaab=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3504 ab:aa=1,abaab=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3505 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:5us [00m00s] 3505 ab:aa=1,abaab=bb infinite ab - - ab:aa=1,abb=bb [00m00s] from: 3505 ab:aa=1,abaab=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [00m00s] # 3506 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:261,nodes:20,pairs:13,completionMax:54us [00m00s] 3506 ab:aa=1,ababa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3506 ab:aa=1,ababa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3507 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:442,nodes:18,pairs:14,completionMax:63us [00m00s] 3507 ab:aa=1,ababa=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [00m00s] from: 3507 ab:aa=1,ababa=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [00m00s] # 3508 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:129,nodes:10,pairs:4,completionMax:21us [00m00s] 3508 ab:aa=1,ababa=bb infinite a/b - - ab:aa=1,abb=baba,abab=bba [00m00s] # 3509 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:270,nodes:18,pairs:10,completionMax:16us [00m00s] 3509 ab:aa=1,ababb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3509 ab:aa=1,ababb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3510 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:16,pairs:1,completionMax:4us [00m00s] 3510 ab:aa=1,ababb=ab infinite ab - - ab:aa=1,babb=b [00m00s] from: 3510 ab:aa=1,ababb=ab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [00m00s] # 3511 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1951,nodes:32,pairs:32,completionMax:82us [00m00s] 3511 ab:aa=1,ababb=ba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [00m00s] from: 3511 ab:aa=1,ababb=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [00m00s] # 3512 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:99,nodes:16,pairs:3,completionMax:16us [00m00s] 3512 ab:aa=1,ababb=bb infinite ab - - ab:aa=1,bbb=bb,babb=abb [00m00s] # 3513 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:140,nodes:14,pairs:7,completionMax:20us [00m00s] 3513 ab:aa=1,abbab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3513 ab:aa=1,abbab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3514 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:38,nodes:16,pairs:1,completionMax:3us [00m00s] 3514 ab:aa=1,abbab=ab infinite ab - - ab:aa=1,bbab=b [00m00s] from: 3514 ab:aa=1,abbab=ab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [00m00s] # 3515 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:896,nodes:24,pairs:14,completionMax:113us [00m00s] 3515 ab:aa=1,abbab=ba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [00m00s] from: 3515 ab:aa=1,abbab=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [00m00s] # 3516 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:352,nodes:20,pairs:7,completionMax:38us [00m00s] 3516 ab:aa=1,abbab=bb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [00m00s] # 3517 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:51,nodes:16,pairs:7,completionMax:32us [00m00s] 3517 ab:aa=1,abbba=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3517 ab:aa=1,abbba=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3518 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:208,nodes:22,pairs:14,completionMax:44us [00m00s] 3518 ab:aa=1,abbba=ab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m00s] from: 3518 ab:aa=1,abbba=ab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m00s] # 3519 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:592,nodes:22,pairs:6,completionMax:43us [00m00s] 3519 ab:aa=1,abbba=bb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [00m00s] # 3520 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:24,nodes:16,pairs:4,completionMax:28us [00m00s] 3520 ab:aa=1,abbbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3520 ab:aa=1,abbbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3521 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:16,pairs:1,completionMax:6us [00m00s] 3521 ab:aa=1,abbbb=ab infinite ab - - ab:aa=1,bbbb=b [00m00s] from: 3521 ab:aa=1,abbbb=ab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [00m00s] # 3522 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:281,nodes:34,pairs:1,completionMax:30us [00m00s] 3522 ab:aa=1,abbbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [00m00s] from: 3522 ab:aa=1,abbbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [00m00s] # 3523 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:51,nodes:16,pairs:3,completionMax:13us [00m00s] 3523 ab:aa=1,abbbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [00m00s] # 3524 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:32,nodes:10,pairs:3,completionMax:18us [00m00s] 3524 ab:aa=1,baaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3524 ab:aa=1,baaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3525 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:28,nodes:8,pairs:1,completionMax:16us [00m00s] 3525 ab:aa=1,baaab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3525 ab:aa=1,baaab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3526 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:3us [00m00s] 3526 ab:aa=1,baaab=bb infinite ab - - ab:aa=1,bab=bb [00m00s] from: 3526 ab:aa=1,baaab=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [00m00s] # 3527 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:1us [00m00s] 3527 ab:aa=1,baabb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3527 ab:aa=1,baabb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3528 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:22,nodes:12,pairs:1,completionMax:10us [00m00s] 3528 ab:aa=1,baabb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3528 ab:aa=1,baabb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3529 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:1,completionMax:6us [00m00s] 3529 ab:aa=1,baabb=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m00s] from: 3529 ab:aa=1,baabb=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m00s] # 3530 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:1us [00m00s] 3530 ab:aa=1,baabb=bb infinite ab - - ab:aa=1,bbb=bb [00m00s] from: 3530 ab:aa=1,baabb=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [00m00s] # 3531 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:70,nodes:12,pairs:5,completionMax:24us [00m00s] 3531 ab:aa=1,babab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m00s] from: 3531 ab:aa=1,babab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m00s] # 3532 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:203,nodes:20,pairs:10,completionMax:50us [00m00s] 3532 ab:aa=1,babab=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3532 ab:aa=1,babab=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3533 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:80,nodes:16,pairs:1,completionMax:6us [00m00s] 3533 ab:aa=1,babab=bb infinite ab - - ab:aa=1,bbab=babb,babab=bb [00m00s] # 3534 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:337,nodes:24,pairs:10,completionMax:28us [00m00s] 3534 ab:aa=1,babbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3534 ab:aa=1,babbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3535 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:673,nodes:20,pairs:11,completionMax:79us [00m00s] 3535 ab:aa=1,babbb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [00m00s] from: 3535 ab:aa=1,babbb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [00m00s] # 3536 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:38,nodes:16,pairs:1,completionMax:11us [00m00s] 3536 ab:aa=1,babbb=ba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [00m00s] from: 3536 ab:aa=1,babbb=ba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [00m00s] # 3537 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [00m00s] 3537 ab:aa=1,babbb=bb infinite ab - - ab:aa=1,babbb=bb [00m00s] # 3538 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:262,nodes:22,pairs:9,completionMax:21us [00m00s] 3538 ab:aa=1,bbabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m00s] from: 3538 ab:aa=1,bbabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m00s] # 3539 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:530,nodes:26,pairs:15,completionMax:99us [00m00s] 3539 ab:aa=1,bbabb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [00m00s] from: 3539 ab:aa=1,bbabb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [00m00s] # 3540 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:8us [00m00s] 3540 ab:aa=1,bbabb=bb infinite ab - - ab:aa=1,bbabb=bb [00m00s] # 3541 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:2,nodes:12,pairs:0,completionMax:1us [00m00s] 3541 ab:aa=1,bbbbb=aa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [00m00s] from: 3541 ab:aa=1,bbbbb=aa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [00m00s] # 3542 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:31,nodes:20,pairs:1,completionMax:24us [00m00s] 3542 ab:aa=1,bbbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [00m00s] from: 3542 ab:aa=1,bbbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [00m00s] # 3543 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [00m00s] 3543 ab:aa=1,bbbbb=bb infinite ab - - ab:aa=1,bbbbb=bb [00m00s] # 3544 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:80,nodes:10,pairs:3,completionMax:15us [00m00s] 3544 ab:ab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3544 ab:ab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3545 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:9us [00m00s] 3545 ab:ab=1,aaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3545 ab:ab=1,aaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3546 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:52,nodes:14,pairs:4,completionMax:26us [00m00s] 3546 ab:ab=1,aaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3546 ab:ab=1,aaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3547 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:238,nodes:24,pairs:4,completionMax:49us [00m00s] 3547 ab:ab=1,aaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [00m00s] from: 3547 ab:ab=1,aaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [00m00s] # 3548 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:19us [00m00s] 3548 ab:ab=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3548 ab:ab=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3549 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:10,nodes:6,pairs:1,completionMax:7us [00m00s] 3549 ab:ab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3549 ab:ab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3550 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:39,nodes:10,pairs:4,completionMax:23us [00m00s] 3550 ab:ab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3550 ab:ab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3551 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:99,nodes:16,pairs:4,completionMax:12us [00m00s] 3551 ab:ab=1,aaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3551 ab:ab=1,aaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3552 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:6,pairs:3,completionMax:11us [00m00s] 3552 ab:ab=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3552 ab:ab=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3553 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:6,pairs:1,completionMax:5us [00m00s] 3553 ab:ab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3553 ab:ab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3554 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:38,nodes:10,pairs:4,completionMax:19us [00m00s] 3554 ab:ab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3554 ab:ab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3555 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:98,nodes:16,pairs:4,completionMax:13us [00m00s] 3555 ab:ab=1,aaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3555 ab:ab=1,aaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3556 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:8us [00m00s] 3556 ab:ab=1,aaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3556 ab:ab=1,aaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3557 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:4us [00m00s] 3557 ab:ab=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3557 ab:ab=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3558 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:5us [00m00s] 3558 ab:ab=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3558 ab:ab=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3559 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:21,nodes:8,pairs:2,completionMax:13us [00m00s] 3559 ab:ab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3559 ab:ab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3560 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:51,nodes:6,pairs:3,completionMax:10us [00m00s] 3560 ab:ab=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3560 ab:ab=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3561 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:1,completionMax:5us [00m00s] 3561 ab:ab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3561 ab:ab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3562 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:37,nodes:10,pairs:4,completionMax:13us [00m00s] 3562 ab:ab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3562 ab:ab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3563 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:97,nodes:16,pairs:4,completionMax:29us [00m00s] 3563 ab:ab=1,aabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3563 ab:ab=1,aabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3564 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:15,nodes:4,pairs:2,completionMax:7us [00m00s] 3564 ab:ab=1,aabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3564 ab:ab=1,aabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3565 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:5us [00m00s] 3565 ab:ab=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3565 ab:ab=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3566 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:4,completionMax:15us [00m00s] 3566 ab:ab=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3566 ab:ab=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3567 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:20,nodes:8,pairs:2,completionMax:9us [00m00s] 3567 ab:ab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3567 ab:ab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3568 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:14,nodes:4,pairs:2,completionMax:7us [00m00s] 3568 ab:ab=1,aabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3568 ab:ab=1,aabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3569 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m00s] 3569 ab:ab=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3569 ab:ab=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3570 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:4,completionMax:10us [00m00s] 3570 ab:ab=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3570 ab:ab=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3571 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:19,nodes:8,pairs:2,completionMax:12us [00m00s] 3571 ab:ab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3571 ab:ab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3572 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:50,nodes:6,pairs:3,completionMax:13us [00m00s] 3572 ab:ab=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3572 ab:ab=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3573 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:4us [00m00s] 3573 ab:ab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3573 ab:ab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3574 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:36,nodes:10,pairs:4,completionMax:19us [00m00s] 3574 ab:ab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3574 ab:ab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3575 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:96,nodes:16,pairs:4,completionMax:24us [00m00s] 3575 ab:ab=1,abaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3575 ab:ab=1,abaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3576 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:14,nodes:4,pairs:2,completionMax:6us [00m00s] 3576 ab:ab=1,abaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3576 ab:ab=1,abaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3577 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:5us [00m00s] 3577 ab:ab=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3577 ab:ab=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3578 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:4,completionMax:9us [00m00s] 3578 ab:ab=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3578 ab:ab=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3579 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:19,nodes:8,pairs:2,completionMax:10us [00m00s] 3579 ab:ab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3579 ab:ab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3580 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:13,nodes:4,pairs:2,completionMax:4us [00m00s] 3580 ab:ab=1,ababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3580 ab:ab=1,ababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3581 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:2us [00m00s] 3581 ab:ab=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3581 ab:ab=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3582 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:19,nodes:6,pairs:4,completionMax:8us [00m00s] 3582 ab:ab=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3582 ab:ab=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3583 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:18,nodes:8,pairs:2,completionMax:13us [00m00s] 3583 ab:ab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3583 ab:ab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3584 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:82,nodes:10,pairs:7,completionMax:33us [00m00s] 3584 ab:ab=1,abbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3584 ab:ab=1,abbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3585 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:28us [00m00s] 3585 ab:ab=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3585 ab:ab=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3586 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:47,nodes:8,pairs:6,completionMax:31us [00m00s] 3586 ab:ab=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3586 ab:ab=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3587 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:90,nodes:14,pairs:5,completionMax:36us [00m00s] 3587 ab:ab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3587 ab:ab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3588 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:52,nodes:8,pairs:9,completionMax:23us [00m00s] 3588 ab:ab=1,abbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3588 ab:ab=1,abbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3589 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:21us [00m00s] 3589 ab:ab=1,abbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3589 ab:ab=1,abbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3590 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:48,nodes:8,pairs:7,completionMax:19us [00m00s] 3590 ab:ab=1,abbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3590 ab:ab=1,abbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3591 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:82,nodes:8,pairs:6,completionMax:9us [00m00s] 3591 ab:ab=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3591 ab:ab=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3592 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:198,nodes:16,pairs:14,completionMax:38us [00m00s] 3592 ab:ab=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3592 ab:ab=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3593 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:95,nodes:16,pairs:10,completionMax:29us [00m00s] 3593 ab:ab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3593 ab:ab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3594 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:89,nodes:16,pairs:7,completionMax:42us [00m00s] 3594 ab:ab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3594 ab:ab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3595 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:388,nodes:26,pairs:5,completionMax:47us [00m00s] 3595 ab:ab=1,baaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m00s] from: 3595 ab:ab=1,baaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m00s] # 3596 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:7,completionMax:28us [00m00s] 3596 ab:ab=1,baaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3596 ab:ab=1,baaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3597 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:27us [00m00s] 3597 ab:ab=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3597 ab:ab=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3598 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:49,nodes:8,pairs:6,completionMax:23us [00m00s] 3598 ab:ab=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3598 ab:ab=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3599 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:92,nodes:14,pairs:5,completionMax:17us [00m00s] 3599 ab:ab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3599 ab:ab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3600 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:83,nodes:10,pairs:7,completionMax:15us [00m00s] 3600 ab:ab=1,babaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3600 ab:ab=1,babaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3601 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:23us [00m00s] 3601 ab:ab=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3601 ab:ab=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3602 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:48,nodes:8,pairs:6,completionMax:18us [00m00s] 3602 ab:ab=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3602 ab:ab=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3603 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:91,nodes:14,pairs:5,completionMax:29us [00m00s] 3603 ab:ab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3603 ab:ab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3604 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:235,nodes:16,pairs:22,completionMax:75us [00m00s] 3604 ab:ab=1,bbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3604 ab:ab=1,bbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3605 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:113,nodes:16,pairs:21,completionMax:51us [00m00s] 3605 ab:ab=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3605 ab:ab=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3606 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:168,nodes:16,pairs:20,completionMax:42us [00m00s] 3606 ab:ab=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m00s] from: 3606 ab:ab=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m00s] # 3607 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:152,nodes:16,pairs:7,completionMax:31us [00m00s] 3607 ab:ab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m00s] from: 3607 ab:ab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m00s] # 3608 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:5us [00m00s] 3608 ab:aa=1,aaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m00s] from: 3608 ab:aa=1,aaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m00s] # 3609 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [00m00s] 3609 ab:aa=1,aaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3609 ab:aa=1,aaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3610 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:7,completionMax:10us [00m00s] 3610 ab:aa=1,aaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3610 ab:aa=1,aaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3611 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:4,completionMax:13us [00m00s] 3611 ab:aa=1,aaaa=abb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3611 ab:aa=1,aaaa=abb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3612 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:31,nodes:10,pairs:3,completionMax:25us [00m00s] 3612 ab:aa=1,aaaa=bab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3612 ab:aa=1,aaaa=bab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3613 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m00s] 3613 ab:aa=1,aaaa=bbb infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m00s] from: 3613 ab:aa=1,aaaa=bbb infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m00s] # 3614 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:4,pairs:1,completionMax:9us [00m00s] 3614 ab:aa=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3614 ab:aa=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3615 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:7us [00m00s] 3615 ab:aa=1,aaab=aab infinite ab - - ab:aa=1,ab=b [00m00s] from: 3615 ab:aa=1,aaab=aab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3616 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:2,completionMax:14us [00m00s] 3616 ab:aa=1,aaab=aba infinite ab - - ab:aa=1,ba=b [00m00s] from: 3616 ab:aa=1,aaab=aba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3617 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:1,completionMax:5us [00m00s] 3617 ab:aa=1,aaab=abb infinite ab - - ab:aa=1,bb=b [00m00s] from: 3617 ab:aa=1,aaab=abb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3618 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:7,nodes:4,pairs:0,completionMax:2us [00m00s] 3618 ab:aa=1,aaab=baa infinite ab - - ab:aa=1,ab=b [00m00s] from: 3618 ab:aa=1,aaab=baa infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3619 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:27,nodes:8,pairs:1,completionMax:6us [00m00s] 3619 ab:aa=1,aaab=bab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3619 ab:aa=1,aaab=bab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3620 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:80,nodes:12,pairs:4,completionMax:18us [00m00s] 3620 ab:aa=1,aaab=bba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3620 ab:aa=1,aaab=bba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3621 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:21,nodes:12,pairs:1,completionMax:8us [00m00s] 3621 ab:aa=1,aaab=bbb finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m00s] from: 3621 ab:aa=1,aaab=bbb finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m00s] # 3622 solved: rounds:1,rules:2,peak:3,longest:2,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:4us [00m00s] 3622 ab:aa=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m00s] from: 3622 ab:aa=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m00s] # 3623 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:3us [00m00s] 3623 ab:aa=1,aaba=aab infinite ab - - ab:aa=1,ba=b [00m00s] from: 3623 ab:aa=1,aaba=aab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3624 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:6us [00m00s] 3624 ab:aa=1,aaba=aba infinite ab - - ab:aa=1,ab=b [00m00s] from: 3624 ab:aa=1,aaba=aba infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [00m00s] # 3625 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:42,nodes:10,pairs:1,completionMax:8us [00m00s] 3625 ab:aa=1,aaba=abb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3625 ab:aa=1,aaba=abb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3626 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:3us [00m00s] 3626 ab:aa=1,aaba=baa infinite ab - - ab:aa=1,ba=b [00m00s] from: 3626 ab:aa=1,aaba=baa infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [00m00s] # 3627 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:26,nodes:8,pairs:1,completionMax:6us [00m00s] 3627 ab:aa=1,aaba=bab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [00m00s] from: 3627 ab:aa=1,aaba=bab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [00m00s] # 3628 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:1,completionMax:12us [00m00s] 3628 ab:aa=1,aaba=bba infinite ab - - ab:aa=1,bb=b [00m00s] from: 3628 ab:aa=1,aaba=bba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3629 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:23,nodes:12,pairs:1,completionMax:7us [00m00s] 3629 ab:aa=1,aaba=bbb finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m00s] from: 3629 ab:aa=1,aaba=bbb finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m00s] # 3630 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:14,nodes:8,pairs:2,completionMax:7us [00m00s] 3630 ab:aa=1,aabb=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3630 ab:aa=1,aabb=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3631 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:8,nodes:6,pairs:0,completionMax:3us [00m00s] 3631 ab:aa=1,aabb=aab infinite ab - - ab:aa=1,bb=b [00m00s] from: 3631 ab:aa=1,aabb=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3632 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:135,nodes:16,pairs:8,completionMax:32us [00m00s] 3632 ab:aa=1,aabb=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m00s] from: 3632 ab:aa=1,aabb=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m00s] # 3633 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:4us [00m00s] 3633 ab:aa=1,aabb=abb infinite ab - - ab:aa=1,abb=bb [00m00s] from: 3633 ab:aa=1,aabb=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [00m00s] # 3634 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [00m00s] 3634 ab:aa=1,aabb=baa infinite ab - - ab:aa=1,bb=b [00m00s] from: 3634 ab:aa=1,aabb=baa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m00s] # 3635 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:1us [00m00s] 3635 ab:aa=1,aabb=bab infinite ab - - ab:aa=1,bab=bb [00m00s] from: 3635 ab:aa=1,aabb=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [00m00s] # 3636 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:2us [00m00s] 3636 ab:aa=1,aabb=bba infinite ab - - ab:aa=1,bba=bb [00m00s] from: 3636 ab:aa=1,aabb=bba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [00m00s] # 3637 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:4us [00m00s] 3637 ab:aa=1,aabb=bbb infinite ab - - ab:aa=1,bbb=bb [00m00s] from: 3637 ab:aa=1,aabb=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [00m00s] # 3638 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:79,nodes:14,pairs:11,completionMax:25us [00m00s] 3638 ab:aa=1,abab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m00s] from: 3638 ab:aa=1,abab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m00s] # 3639 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:6,completionMax:14us [00m00s] 3639 ab:aa=1,abab=aab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3639 ab:aa=1,abab=aab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m00s] # 3640 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:95,nodes:12,pairs:5,completionMax:12us [00m00s] 3640 ab:aa=1,abab=aba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [00m00s] from: 3640 ab:aa=1,abab=aba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [00m00s] # 3641 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:12,pairs:2,completionMax:10us [00m00s] 3641 ab:aa=1,abab=abb infinite ab - - ab:aa=1,bab=bb [00m00s] from: 3641 ab:aa=1,abab=abb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [00m00s] # 3642 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:6,completionMax:10us [00m00s] 3642 ab:aa=1,abab=baa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [00m00s] from: 3642 ab:aa=1,abab=baa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [00m01s] # 3643 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:56,nodes:12,pairs:5,completionMax:10us [00m01s] 3643 ab:aa=1,abab=bab infinite ac/b ab=c frequency:2/0 abc:aa=1,acc=cc,b=ac [00m01s] from: 3643 ab:aa=1,abab=bab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=ab,c=b [00m01s] # 3644 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:1,work:244,nodes:12,pairs:12,completionMax:37us [00m01s] 3644 ab:aa=1,abab=bba infinite a/b - - ab:aa=1,abb=baba,abab=bba [00m01s] from: 3644 ab:aa=1,abab=bba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [00m01s] # 3645 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:446,nodes:30,pairs:6,completionMax:44us [00m01s] 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [00m01s] # 3646 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:42,nodes:12,pairs:8,completionMax:27us [00m01s] 3646 ab:aa=1,abba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m01s] from: 3646 ab:aa=1,abba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m01s] # 3647 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:121,nodes:16,pairs:7,completionMax:24us [00m01s] 3647 ab:aa=1,abba=aab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m01s] from: 3647 ab:aa=1,abba=aab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m01s] # 3648 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:65,nodes:12,pairs:4,completionMax:16us [00m01s] 3648 ab:aa=1,abba=aba infinite ab - - ab:aa=1,bb=b [00m01s] from: 3648 ab:aa=1,abba=aba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m01s] # 3649 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:12,pairs:2,completionMax:8us [00m01s] 3649 ab:aa=1,abba=abb infinite ab - - ab:aa=1,bba=bb [00m01s] from: 3649 ab:aa=1,abba=abb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [00m01s] # 3650 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:1,work:143,nodes:10,pairs:3,completionMax:15us [00m01s] 3650 ab:aa=1,abba=bab infinite a/b - - ab:aa=1,abb=baba,abab=bba [00m01s] from: 3650 ab:aa=1,abba=bab infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [00m01s] # 3651 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:567,nodes:22,pairs:6,completionMax:35us [00m01s] 3651 ab:aa=1,abba=bbb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [00m01s] from: 3651 ab:aa=1,abba=bbb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [00m01s] # 3652 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:6us [00m01s] 3652 ab:aa=1,abbb=aaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [00m01s] from: 3652 ab:aa=1,abbb=aaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [00m01s] # 3653 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:3,completionMax:10us [00m01s] 3653 ab:aa=1,abbb=aab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m01s] from: 3653 ab:aa=1,abbb=aab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m01s] # 3654 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:100,nodes:20,pairs:6,completionMax:22us [00m01s] 3654 ab:aa=1,abbb=aba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [00m01s] from: 3654 ab:aa=1,abbb=aba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [00m01s] # 3655 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:44,nodes:12,pairs:1,completionMax:4us [00m01s] 3655 ab:aa=1,abbb=abb infinite ab - - ab:aa=1,bbb=bb [00m01s] from: 3655 ab:aa=1,abbb=abb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [00m01s] # 3656 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:27,nodes:12,pairs:3,completionMax:12us [00m01s] 3656 ab:aa=1,abbb=baa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [00m01s] from: 3656 ab:aa=1,abbb=baa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [00m01s] # 3657 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:192,nodes:18,pairs:1,completionMax:21us [00m01s] 3657 ab:aa=1,abbb=bab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [00m01s] from: 3657 ab:aa=1,abbb=bab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [00m01s] # 3658 solved: rounds:3,rules:4,peak:7,longest:9,steps:6,word:4,work:1455,nodes:44,pairs:12,completionMax:107us [00m01s] 3658 ab:aa=1,abbb=bba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [00m01s] from: 3658 ab:aa=1,abbb=bba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [00m01s] # 3659 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m01s] 3659 ab:aa=1,abbb=bbb infinite ab - - ab:aa=1,abbb=bbb [00m01s] # 3660 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:15,nodes:8,pairs:2,completionMax:7us [00m01s] 3660 ab:aa=1,baab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m01s] from: 3660 ab:aa=1,baab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m01s] # 3661 solved: rounds:0,rules:2,peak:2,longest:2,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:1us [00m01s] 3661 ab:aa=1,baab=aab infinite ab - - ab:aa=1,bb=b [00m01s] from: 3661 ab:aa=1,baab=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [00m01s] # 3662 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:136,nodes:16,pairs:8,completionMax:33us [00m01s] 3662 ab:aa=1,baab=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [00m01s] from: 3662 ab:aa=1,baab=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [00m01s] # 3663 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:4us [00m01s] 3663 ab:aa=1,baab=abb infinite ab - - ab:aa=1,abb=bb [00m01s] from: 3663 ab:aa=1,baab=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [00m01s] # 3664 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:1us [00m01s] 3664 ab:aa=1,baab=bab infinite ab - - ab:aa=1,bab=bb [00m01s] from: 3664 ab:aa=1,baab=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [00m01s] # 3665 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:1us [00m01s] 3665 ab:aa=1,baab=bbb infinite ab - - ab:aa=1,bbb=bb [00m01s] from: 3665 ab:aa=1,baab=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [00m01s] # 3666 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:263,nodes:18,pairs:8,completionMax:22us [00m01s] 3666 ab:aa=1,babb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [00m01s] from: 3666 ab:aa=1,babb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [00m01s] # 3667 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:1us [00m01s] 3667 ab:aa=1,babb=aab infinite ab - - ab:aa=1,babb=b [00m01s] from: 3667 ab:aa=1,babb=aab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [00m01s] # 3668 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1932,nodes:32,pairs:30,completionMax:194us [00m01s] 3668 ab:aa=1,babb=aba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [00m01s] from: 3668 ab:aa=1,babb=aba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [00m01s] # 3669 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:82,nodes:12,pairs:1,completionMax:9us [00m01s] 3669 ab:aa=1,babb=abb infinite ab - - ab:aa=1,bbb=bb,babb=abb [00m01s] from: 3669 ab:aa=1,babb=abb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [00m01s] # 3670 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:1us [00m01s] 3670 ab:aa=1,babb=baa infinite ab - - ab:aa=1,babb=b [00m01s] from: 3670 ab:aa=1,babb=baa infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [00m01s] # 3671 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:1us [00m01s] 3671 ab:aa=1,babb=bab infinite ab - - ab:aa=1,babb=bab [00m01s] # 3672 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:378,nodes:26,pairs:4,completionMax:26us [00m01s] 3672 ab:aa=1,babb=bba infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [00m01s] from: 3672 ab:aa=1,babb=bba infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [00m01s] # 3673 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:1us [00m01s] 3673 ab:aa=1,babb=bbb infinite ab - - ab:aa=1,babb=bbb [00m01s] # 3674 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:18,nodes:16,pairs:2,completionMax:10us [00m01s] 3674 ab:aa=1,bbbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [00m01s] from: 3674 ab:aa=1,bbbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [00m01s] # 3675 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:2us [00m01s] 3675 ab:aa=1,bbbb=aab infinite ab - - ab:aa=1,bbbb=b [00m01s] from: 3675 ab:aa=1,bbbb=aab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [00m01s] # 3676 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:714,nodes:64,pairs:7,completionMax:45us [00m01s] 3676 ab:aa=1,bbbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [00m01s] from: 3676 ab:aa=1,bbbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [00m01s] # 3677 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:45,nodes:16,pairs:1,completionMax:9us [00m01s] 3677 ab:aa=1,bbbb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [00m01s] from: 3677 ab:aa=1,bbbb=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [00m01s] # 3678 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:9,nodes:8,pairs:0,completionMax:2us [00m01s] 3678 ab:aa=1,bbbb=bab infinite b/a - - ab:bab=bbbb,aa=1 [00m01s] # 3679 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:48,nodes:10,pairs:0,completionMax:3us [00m01s] 3679 ab:aa=1,bbbb=bbb infinite ab - - ab:aa=1,bbbb=bbb [00m01s] # 3680 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:157,nodes:8,pairs:4,completionMax:13us [00m01s] 3680 ab:ab=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3680 ab:ab=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3681 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:28,nodes:8,pairs:2,completionMax:10us [00m01s] 3681 ab:ab=1,aaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3681 ab:ab=1,aaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3682 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:8,pairs:2,completionMax:9us [00m01s] 3682 ab:ab=1,aaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3682 ab:ab=1,aaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3683 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:2,nodes:10,pairs:1,completionMax:5us [00m01s] 3683 ab:ab=1,aaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3683 ab:ab=1,aaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3684 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:129,nodes:14,pairs:7,completionMax:31us [00m01s] 3684 ab:ab=1,aaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3684 ab:ab=1,aaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3685 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:10,pairs:1,completionMax:5us [00m01s] 3685 ab:ab=1,aaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3685 ab:ab=1,aaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3686 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:110,nodes:14,pairs:11,completionMax:30us [00m01s] 3686 ab:ab=1,aaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3686 ab:ab=1,aaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3687 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:380,nodes:24,pairs:10,completionMax:54us [00m01s] 3687 ab:ab=1,aaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [00m01s] from: 3687 ab:ab=1,aaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [00m01s] # 3688 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:6,pairs:3,completionMax:11us [00m01s] 3688 ab:ab=1,aaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3688 ab:ab=1,aaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3689 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:16,nodes:4,pairs:2,completionMax:6us [00m01s] 3689 ab:ab=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3689 ab:ab=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3690 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:15,nodes:4,pairs:2,completionMax:4us [00m01s] 3690 ab:ab=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3690 ab:ab=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3691 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:2us [00m01s] 3691 ab:ab=1,aaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3691 ab:ab=1,aaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3692 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:7,completionMax:18us [00m01s] 3692 ab:ab=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3692 ab:ab=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3693 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:5us [00m01s] 3693 ab:ab=1,aaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3693 ab:ab=1,aaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3694 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:54,nodes:8,pairs:9,completionMax:18us [00m01s] 3694 ab:ab=1,aaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3694 ab:ab=1,aaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3695 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:81,nodes:12,pairs:7,completionMax:20us [00m01s] 3695 ab:ab=1,aaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3695 ab:ab=1,aaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3696 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:51,nodes:6,pairs:3,completionMax:9us [00m01s] 3696 ab:ab=1,aaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3696 ab:ab=1,aaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3697 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:15,nodes:4,pairs:2,completionMax:6us [00m01s] 3697 ab:ab=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3697 ab:ab=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3698 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:14,nodes:4,pairs:2,completionMax:7us [00m01s] 3698 ab:ab=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3698 ab:ab=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3699 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:1,completionMax:5us [00m01s] 3699 ab:ab=1,aaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3699 ab:ab=1,aaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3700 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:83,nodes:10,pairs:7,completionMax:14us [00m01s] 3700 ab:ab=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3700 ab:ab=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3701 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:4us [00m01s] 3701 ab:ab=1,aaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3701 ab:ab=1,aaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3702 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:53,nodes:8,pairs:9,completionMax:23us [00m01s] 3702 ab:ab=1,aaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3702 ab:ab=1,aaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3703 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:80,nodes:12,pairs:7,completionMax:21us [00m01s] 3703 ab:ab=1,aaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3703 ab:ab=1,aaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3704 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:6us [00m01s] 3704 ab:ab=1,aabb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3704 ab:ab=1,aabb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3705 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [00m01s] 3705 ab:ab=1,aabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3705 ab:ab=1,aabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3706 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:1us [00m01s] 3706 ab:ab=1,aabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3706 ab:ab=1,aabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3707 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:40,nodes:8,pairs:8,completionMax:18us [00m01s] 3707 ab:ab=1,aabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3707 ab:ab=1,aabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3708 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:50,nodes:6,pairs:3,completionMax:11us [00m01s] 3708 ab:ab=1,abaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3708 ab:ab=1,abaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3709 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:14,nodes:4,pairs:2,completionMax:4us [00m01s] 3709 ab:ab=1,abaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3709 ab:ab=1,abaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3710 solved: rounds:2,rules:2,peak:3,longest:2,steps:1,word:0,work:13,nodes:4,pairs:2,completionMax:5us [00m01s] 3710 ab:ab=1,abaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3710 ab:ab=1,abaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3711 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:4,nodes:6,pairs:1,completionMax:3us [00m01s] 3711 ab:ab=1,abaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3711 ab:ab=1,abaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3712 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:82,nodes:10,pairs:7,completionMax:19us [00m01s] 3712 ab:ab=1,abaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3712 ab:ab=1,abaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3713 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:5,nodes:6,pairs:1,completionMax:2us [00m01s] 3713 ab:ab=1,abaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3713 ab:ab=1,abaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3714 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:52,nodes:8,pairs:9,completionMax:21us [00m01s] 3714 ab:ab=1,abaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3714 ab:ab=1,abaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3715 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:79,nodes:12,pairs:7,completionMax:25us [00m01s] 3715 ab:ab=1,abaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3715 ab:ab=1,abaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3716 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:5us [00m01s] 3716 ab:ab=1,abab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3716 ab:ab=1,abab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3717 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:3us [00m01s] 3717 ab:ab=1,abab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3717 ab:ab=1,abab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3718 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:2us [00m01s] 3718 ab:ab=1,abab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3718 ab:ab=1,abab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3719 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:39,nodes:8,pairs:8,completionMax:18us [00m01s] 3719 ab:ab=1,abab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3719 ab:ab=1,abab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3720 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:36,nodes:10,pairs:4,completionMax:15us [00m01s] 3720 ab:ab=1,abba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3720 ab:ab=1,abba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3721 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:20,nodes:6,pairs:4,completionMax:8us [00m01s] 3721 ab:ab=1,abba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3721 ab:ab=1,abba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3722 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:19,nodes:6,pairs:4,completionMax:8us [00m01s] 3722 ab:ab=1,abba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3722 ab:ab=1,abba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3723 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:18,nodes:6,pairs:3,completionMax:8us [00m01s] 3723 ab:ab=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3723 ab:ab=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3724 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:47,nodes:8,pairs:6,completionMax:13us [00m01s] 3724 ab:ab=1,abba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3724 ab:ab=1,abba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3725 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:19,nodes:6,pairs:3,completionMax:7us [00m01s] 3725 ab:ab=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3725 ab:ab=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3726 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:48,nodes:8,pairs:7,completionMax:15us [00m01s] 3726 ab:ab=1,abba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3726 ab:ab=1,abba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3727 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:87,nodes:10,pairs:12,completionMax:31us [00m01s] 3727 ab:ab=1,abba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3727 ab:ab=1,abba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3728 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:271,nodes:14,pairs:10,completionMax:41us [00m01s] 3728 ab:ab=1,baaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3728 ab:ab=1,baaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3729 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:73,nodes:12,pairs:12,completionMax:25us [00m01s] 3729 ab:ab=1,baaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3729 ab:ab=1,baaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3730 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:12,pairs:12,completionMax:17us [00m01s] 3730 ab:ab=1,baaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3730 ab:ab=1,baaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3731 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:37,nodes:12,pairs:4,completionMax:18us [00m01s] 3731 ab:ab=1,baaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3731 ab:ab=1,baaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3732 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:149,nodes:12,pairs:9,completionMax:25us [00m01s] 3732 ab:ab=1,baaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3732 ab:ab=1,baaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3733 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:38,nodes:12,pairs:4,completionMax:14us [00m01s] 3733 ab:ab=1,baaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3733 ab:ab=1,baaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3734 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:96,nodes:10,pairs:9,completionMax:27us [00m01s] 3734 ab:ab=1,baaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3734 ab:ab=1,baaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3735 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:232,nodes:18,pairs:17,completionMax:49us [00m01s] 3735 ab:ab=1,baaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m01s] from: 3735 ab:ab=1,baaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m01s] # 3736 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:37,nodes:10,pairs:4,completionMax:15us [00m01s] 3736 ab:ab=1,baba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3736 ab:ab=1,baba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3737 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:21,nodes:6,pairs:4,completionMax:11us [00m01s] 3737 ab:ab=1,baba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3737 ab:ab=1,baba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3738 solved: rounds:2,rules:2,peak:4,longest:2,steps:1,word:0,work:20,nodes:6,pairs:4,completionMax:13us [00m01s] 3738 ab:ab=1,baba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3738 ab:ab=1,baba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3739 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:48,nodes:8,pairs:6,completionMax:11us [00m01s] 3739 ab:ab=1,baba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3739 ab:ab=1,baba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3740 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:176,nodes:16,pairs:14,completionMax:54us [00m01s] 3740 ab:ab=1,bbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m01s] from: 3740 ab:ab=1,bbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m01s] # 3741 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:94,nodes:12,pairs:14,completionMax:39us [00m01s] 3741 ab:ab=1,bbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3741 ab:ab=1,bbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3742 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:93,nodes:12,pairs:14,completionMax:32us [00m01s] 3742 ab:ab=1,bbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3742 ab:ab=1,bbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3743 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:145,nodes:12,pairs:12,completionMax:27us [00m01s] 3743 ab:ab=1,bbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m01s] from: 3743 ab:ab=1,bbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m01s] # 3744 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:58,nodes:8,pairs:3,completionMax:16us [00m01s] 3744 ab:aaaa=aa,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3744 ab:aaaa=aa,aaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3745 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:140,nodes:12,pairs:15,completionMax:55us [00m01s] 3745 ab:aaaa=aa,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3745 ab:aaaa=aa,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3746 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:42,nodes:10,pairs:4,completionMax:11us [00m01s] 3746 ab:aaaa=aa,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3746 ab:aaaa=aa,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3747 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:76,nodes:12,pairs:3,completionMax:31us [00m01s] 3747 ab:aaaa=aa,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3747 ab:aaaa=aa,abab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3748 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:134,nodes:16,pairs:8,completionMax:64us [00m01s] 3748 ab:aaaa=aa,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3748 ab:aaaa=aa,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3749 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:2,work:80,nodes:12,pairs:6,completionMax:43us [00m01s] 3749 ab:aaaa=aa,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3749 ab:aaaa=aa,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3750 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:93,nodes:14,pairs:10,completionMax:69us [00m01s] 3750 ab:aaaa=aa,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3750 ab:aaaa=aa,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3751 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:2,work:245,nodes:16,pairs:11,completionMax:85us [00m01s] 3751 ab:aaaa=aa,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3751 ab:aaaa=aa,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3752 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:16us [00m01s] 3752 ab:aaaa=aa,bbbb=1 infinite ab - - ab:aaaa=aa,bbbb=1 [00m01s] # 3753 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:2,work:10,nodes:12,pairs:1,completionMax:9us [00m01s] 3753 ab:aaaa=ab,aaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3753 ab:aaaa=ab,aaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3754 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:2,work:9,nodes:12,pairs:1,completionMax:11us [00m01s] 3754 ab:aaaa=ab,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3754 ab:aaaa=ab,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3755 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:4,work:17,nodes:16,pairs:1,completionMax:8us [00m01s] 3755 ab:aaaa=ab,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3755 ab:aaaa=ab,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3756 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:2,work:8,nodes:12,pairs:1,completionMax:8us [00m01s] 3756 ab:aaaa=ab,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3756 ab:aaaa=ab,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3757 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:4,work:16,nodes:16,pairs:1,completionMax:8us [00m01s] 3757 ab:aaaa=ab,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3757 ab:aaaa=ab,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3758 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:4,work:15,nodes:16,pairs:1,completionMax:10us [00m01s] 3758 ab:aaaa=ab,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3758 ab:aaaa=ab,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3759 solved: rounds:1,rules:2,peak:3,longest:10,steps:3,word:6,work:25,nodes:20,pairs:1,completionMax:8us [00m01s] 3759 ab:aaaa=ab,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3759 ab:aaaa=ab,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3760 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:2,work:54,nodes:20,pairs:3,completionMax:18us [00m01s] 3760 ab:aaaa=ab,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3760 ab:aaaa=ab,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3761 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:2,work:76,nodes:28,pairs:3,completionMax:25us [00m01s] 3761 ab:aaaa=ab,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3761 ab:aaaa=ab,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3762 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:2,work:75,nodes:28,pairs:3,completionMax:24us [00m01s] 3762 ab:aaaa=ab,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3762 ab:aaaa=ab,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3763 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:4,work:99,nodes:36,pairs:3,completionMax:31us [00m01s] 3763 ab:aaaa=ab,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3763 ab:aaaa=ab,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3764 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:93,nodes:24,pairs:4,completionMax:18us [00m01s] 3764 ab:aaaa=ab,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3764 ab:aaaa=ab,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3765 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:4,work:125,nodes:32,pairs:4,completionMax:31us [00m01s] 3765 ab:aaaa=ab,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3765 ab:aaaa=ab,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3766 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:6,work:148,nodes:28,pairs:5,completionMax:30us [00m01s] 3766 ab:aaaa=ab,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3766 ab:aaaa=ab,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3767 solved: rounds:1,rules:3,peak:3,longest:13,steps:3,word:6,work:65,nodes:32,pairs:1,completionMax:16us [00m01s] 3767 ab:aaaa=ab,bbbb=1 finite:52;idempotents:1,bbbaaa,bbaaaaaa,baaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,ab=aaaa,bbbb=1 [00m01s] # 3768 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:6,work:107,nodes:24,pairs:4,completionMax:35us [00m01s] 3768 ab:aaaa=bb,aaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m01s] from: 3768 ab:aaaa=bb,aaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m01s] # 3769 solved: rounds:3,rules:2,peak:8,longest:12,steps:11,word:12,work:1409,nodes:36,pairs:22,completionMax:109us [00m01s] 3769 ab:aaaa=bb,aaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m01s] from: 3769 ab:aaaa=bb,aaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m01s] # 3770 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:2,work:145,nodes:14,pairs:5,completionMax:21us [00m01s] 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m01s] # 3771 solved: rounds:3,rules:3,peak:9,longest:39,steps:14,word:36,work:6435,nodes:142,pairs:23,completionMax:328us [00m01s] 3771 ab:aaaa=bb,abab=1 finite:48;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaaaa,bb=aaaa [00m01s] # 3772 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:2,work:144,nodes:14,pairs:5,completionMax:26us [00m01s] 3772 ab:aaaa=bb,abba=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m01s] from: 3772 ab:aaaa=bb,abba=1 infinite;group:a-aaaaa,b-baa to: 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a=a,b=b [00m01s] # 3773 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:8,work:34,nodes:28,pairs:4,completionMax:15us [00m01s] 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaa [00m01s] # 3774 solved: rounds:2,rules:3,peak:4,longest:7,steps:4,word:2,work:174,nodes:24,pairs:8,completionMax:32us [00m01s] 3774 ab:aaaa=bb,baab=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m01s] from: 3774 ab:aaaa=bb,baab=1 infinite;group:a-aaaaa,b-baa to: 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a=a,b=b [00m01s] # 3775 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:8,work:49,nodes:28,pairs:5,completionMax:17us [00m01s] 3775 ab:aaaa=bb,babb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaa [00m01s] from: 3775 ab:aaaa=bb,babb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbb,b=b [00m01s] # 3776 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:0,work:75,nodes:14,pairs:3,completionMax:11us [00m01s] 3776 ab:aaaa=bb,bbbb=1 infinite;group:a-aaabb,b-bbb ab - - ab:bba=abb,aaaa=bb,bbbb=1 [00m01s] # 3777 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:161,nodes:12,pairs:15,completionMax:45us [00m01s] 3777 ab:aaab=aa,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3777 ab:aaab=aa,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3778 solved: rounds:2,rules:1,peak:3,longest:4,steps:0,word:0,work:0,nodes:10,pairs:2,completionMax:6us [00m01s] 3778 ab:aaab=aa,aabb=1 infinite ab - - ab:ab=1 [00m01s] from: 3778 ab:aaab=aa,aabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m01s] # 3779 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:142,nodes:16,pairs:13,completionMax:38us [00m01s] 3779 ab:aaab=aa,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3779 ab:aaab=aa,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3780 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:5us [00m01s] 3780 ab:aaab=aa,abab=1 infinite ab - - ab:aaab=aa,abab=1 [00m01s] # 3781 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:16,pairs:10,completionMax:19us [00m01s] 3781 ab:aaab=aa,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3781 ab:aaab=aa,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3782 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:114,nodes:14,pairs:11,completionMax:32us [00m01s] 3782 ab:aaab=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3782 ab:aaab=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3783 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:0,work:247,nodes:16,pairs:16,completionMax:49us [00m01s] 3783 ab:aaab=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3783 ab:aaab=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3784 solved: rounds:4,rules:2,peak:6,longest:4,steps:3,word:0,work:161,nodes:14,pairs:12,completionMax:42us [00m01s] 3784 ab:aaab=aa,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3784 ab:aaab=aa,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3785 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:14,pairs:3,completionMax:12us [00m01s] 3785 ab:aaab=aa,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3785 ab:aaab=aa,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3786 solved: rounds:3,rules:2,peak:6,longest:4,steps:7,word:0,work:227,nodes:14,pairs:13,completionMax:34us [00m01s] 3786 ab:aaab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3786 ab:aaab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3787 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:24,nodes:14,pairs:9,completionMax:25us [00m01s] 3787 ab:aaab=aa,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3787 ab:aaab=aa,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3788 solved: rounds:5,rules:2,peak:11,longest:7,steps:7,word:0,work:1805,nodes:28,pairs:42,completionMax:118us [00m01s] 3788 ab:aaab=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3788 ab:aaab=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3789 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:205,nodes:16,pairs:18,completionMax:36us [00m01s] 3789 ab:aaab=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3789 ab:aaab=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3790 solved: rounds:4,rules:3,peak:4,longest:6,steps:3,word:2,work:111,nodes:18,pairs:4,completionMax:27us [00m01s] 3790 ab:aaab=aa,bbbb=1 infinite a/b - - ab:aaaaaa=aa,aab=aaaaa,bbbb=1 [00m01s] # 3791 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:63,nodes:12,pairs:9,completionMax:21us [00m01s] 3791 ab:aaab=ab,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3791 ab:aaab=ab,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3792 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:11,nodes:12,pairs:4,completionMax:13us [00m01s] 3792 ab:aaab=ab,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3792 ab:aaab=ab,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3793 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:132,nodes:14,pairs:12,completionMax:53us [00m01s] 3793 ab:aaab=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3793 ab:aaab=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3794 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:12,pairs:2,completionMax:9us [00m01s] 3794 ab:aaab=ab,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3794 ab:aaab=ab,abab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3795 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:16,pairs:9,completionMax:27us [00m01s] 3795 ab:aaab=ab,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3795 ab:aaab=ab,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3796 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:2,work:25,nodes:12,pairs:5,completionMax:17us [00m01s] 3796 ab:aaab=ab,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3796 ab:aaab=ab,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3797 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:174,nodes:14,pairs:10,completionMax:42us [00m01s] 3797 ab:aaab=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3797 ab:aaab=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3798 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:133,nodes:14,pairs:14,completionMax:42us [00m01s] 3798 ab:aaab=ab,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3798 ab:aaab=ab,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3799 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:107,nodes:14,pairs:7,completionMax:34us [00m01s] 3799 ab:aaab=ab,baba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3799 ab:aaab=ab,baba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3800 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:2,work:193,nodes:14,pairs:11,completionMax:36us [00m01s] 3800 ab:aaab=ab,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3800 ab:aaab=ab,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3801 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:179,nodes:14,pairs:11,completionMax:45us [00m01s] 3801 ab:aaab=ab,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3801 ab:aaab=ab,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3802 solved: rounds:4,rules:2,peak:8,longest:10,steps:14,word:6,work:734,nodes:30,pairs:21,completionMax:90us [00m01s] 3802 ab:aaab=ab,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3802 ab:aaab=ab,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3803 solved: rounds:4,rules:2,peak:5,longest:7,steps:1,word:2,work:157,nodes:16,pairs:13,completionMax:31us [00m01s] 3803 ab:aaab=ab,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3803 ab:aaab=ab,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3804 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:14,pairs:1,completionMax:5us [00m01s] 3804 ab:aaab=ab,bbbb=1 infinite ab - - ab:aaa=a,bbbb=1 [00m01s] from: 3804 ab:aaab=ab,bbbb=1 infinite to: 500 ab:aaa=a,bbbb=1 infinite a=a,b=b [00m01s] # 3805 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:392,nodes:18,pairs:23,completionMax:67us [00m01s] 3805 ab:aaab=ba,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3805 ab:aaab=ba,aaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3806 solved: rounds:3,rules:3,peak:6,longest:4,steps:6,word:4,work:329,nodes:18,pairs:17,completionMax:52us [00m01s] 3806 ab:aaab=ba,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3806 ab:aaab=ba,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3807 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:514,nodes:20,pairs:36,completionMax:107us [00m01s] 3807 ab:aaab=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3807 ab:aaab=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3808 solved: rounds:3,rules:3,peak:6,longest:8,steps:10,word:6,work:942,nodes:22,pairs:16,completionMax:96us [00m01s] 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m01s] # 3809 solved: rounds:3,rules:3,peak:7,longest:6,steps:6,word:4,work:619,nodes:26,pairs:24,completionMax:89us [00m01s] 3809 ab:aaab=ba,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3809 ab:aaab=ba,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3810 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:4,work:131,nodes:20,pairs:7,completionMax:38us [00m01s] 3810 ab:aaab=ba,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3810 ab:aaab=ba,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3811 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:384,nodes:20,pairs:25,completionMax:66us [00m01s] 3811 ab:aaab=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3811 ab:aaab=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3812 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:2,work:240,nodes:16,pairs:14,completionMax:46us [00m01s] 3812 ab:aaab=ba,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3812 ab:aaab=ba,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3813 solved: rounds:4,rules:3,peak:12,longest:8,steps:11,word:6,work:3785,nodes:38,pairs:66,completionMax:570us [00m01s] 3813 ab:aaab=ba,baba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m01s] from: 3813 ab:aaab=ba,baba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m01s] # 3814 solved: rounds:3,rules:2,peak:7,longest:8,steps:32,word:6,work:926,nodes:26,pairs:17,completionMax:82us [00m01s] 3814 ab:aaab=ba,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3814 ab:aaab=ba,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3815 solved: rounds:2,rules:3,peak:9,longest:5,steps:6,word:4,work:863,nodes:26,pairs:13,completionMax:82us [00m01s] 3815 ab:aaab=ba,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3815 ab:aaab=ba,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3816 solved: rounds:3,rules:2,peak:11,longest:9,steps:17,word:6,work:3034,nodes:32,pairs:33,completionMax:291us [00m01s] 3816 ab:aaab=ba,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3816 ab:aaab=ba,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3817 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:2,work:362,nodes:18,pairs:16,completionMax:67us [00m01s] 3817 ab:aaab=ba,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3817 ab:aaab=ba,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3818 solved: rounds:1,rules:3,peak:3,longest:81,steps:83,word:78,work:4385,nodes:168,pairs:1,completionMax:709us [00m01s] 3818 ab:aaab=ba,bbbb=1 finite:324;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=a,ba=aaab,bbbb=1 [00m01s] # 3819 solved: rounds:3,rules:2,peak:6,longest:11,steps:7,word:10,work:920,nodes:18,pairs:24,completionMax:102us [00m01s] 3819 ab:aaab=bb,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3819 ab:aaab=bb,aaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3820 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:42,nodes:16,pairs:3,completionMax:15us [00m01s] 3820 ab:aaab=bb,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3820 ab:aaab=bb,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3821 solved: rounds:3,rules:2,peak:7,longest:11,steps:7,word:10,work:1193,nodes:32,pairs:16,completionMax:102us [00m01s] 3821 ab:aaab=bb,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3821 ab:aaab=bb,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3822 solved: rounds:3,rules:2,peak:8,longest:12,steps:3,word:4,work:829,nodes:42,pairs:28,completionMax:142us [00m01s] 3822 ab:aaab=bb,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3822 ab:aaab=bb,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3823 solved: rounds:3,rules:2,peak:5,longest:8,steps:7,word:2,work:668,nodes:22,pairs:15,completionMax:65us [00m01s] 3823 ab:aaab=bb,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3823 ab:aaab=bb,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3824 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:4,work:49,nodes:20,pairs:3,completionMax:16us [00m01s] 3824 ab:aaab=bb,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3824 ab:aaab=bb,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3825 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:2,work:162,nodes:24,pairs:3,completionMax:26us [00m01s] 3825 ab:aaab=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3825 ab:aaab=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3826 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:4,work:228,nodes:28,pairs:6,completionMax:30us [00m01s] 3826 ab:aaab=bb,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3826 ab:aaab=bb,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3827 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:4,work:50,nodes:16,pairs:4,completionMax:14us [00m01s] 3827 ab:aaab=bb,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3827 ab:aaab=bb,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3828 solved: rounds:2,rules:2,peak:4,longest:13,steps:2,word:4,work:278,nodes:36,pairs:6,completionMax:41us [00m01s] 3828 ab:aaab=bb,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3828 ab:aaab=bb,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3829 solved: rounds:3,rules:2,peak:9,longest:14,steps:5,word:12,work:2882,nodes:48,pairs:23,completionMax:177us [00m01s] 3829 ab:aaab=bb,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3829 ab:aaab=bb,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3830 solved: rounds:2,rules:2,peak:6,longest:10,steps:3,word:4,work:473,nodes:38,pairs:11,completionMax:51us [00m01s] 3830 ab:aaab=bb,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3830 ab:aaab=bb,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3831 solved: rounds:3,rules:2,peak:7,longest:10,steps:6,word:4,work:1049,nodes:36,pairs:33,completionMax:133us [00m01s] 3831 ab:aaab=bb,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3831 ab:aaab=bb,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3832 solved: rounds:2,rules:2,peak:3,longest:12,steps:3,word:6,work:57,nodes:24,pairs:3,completionMax:21us [00m01s] 3832 ab:aaab=bb,bbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m01s] from: 3832 ab:aaab=bb,bbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m01s] # 3833 solved: rounds:2,rules:1,peak:3,longest:4,steps:1,word:0,work:21,nodes:8,pairs:2,completionMax:8us [00m01s] 3833 ab:aaba=aa,aabb=1 infinite ab - - ab:ab=1 [00m01s] from: 3833 ab:aaba=aa,aabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m01s] # 3834 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:147,nodes:14,pairs:15,completionMax:39us [00m01s] 3834 ab:aaba=aa,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3834 ab:aaba=aa,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3835 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:12,pairs:1,completionMax:5us [00m01s] 3835 ab:aaba=aa,abab=1 infinite ab - - ab:aab=a,abab=1 [00m01s] from: 3835 ab:aaba=aa,abab=1 infinite to: 516 ab:aab=a,abab=1 infinite a=a,b=b [00m01s] # 3836 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:143,nodes:16,pairs:9,completionMax:33us [00m01s] 3836 ab:aaba=aa,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3836 ab:aaba=aa,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3837 solved: rounds:4,rules:2,peak:4,longest:4,steps:2,word:0,work:37,nodes:12,pairs:8,completionMax:17us [00m01s] 3837 ab:aaba=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3837 ab:aaba=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3838 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:90,nodes:16,pairs:6,completionMax:25us [00m01s] 3838 ab:aaba=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3838 ab:aaba=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3839 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:59,nodes:14,pairs:7,completionMax:20us [00m01s] 3839 ab:aaba=aa,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3839 ab:aaba=aa,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3840 solved: rounds:2,rules:1,peak:3,longest:4,steps:1,word:0,work:51,nodes:16,pairs:3,completionMax:10us [00m01s] 3840 ab:aaba=aa,baba=1 infinite ab - - ab:ba=1 [00m01s] from: 3840 ab:aaba=aa,baba=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=b,b=a [00m01s] # 3841 solved: rounds:3,rules:2,peak:7,longest:4,steps:5,word:0,work:231,nodes:14,pairs:21,completionMax:59us [00m01s] 3841 ab:aaba=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3841 ab:aaba=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3842 solved: rounds:1,rules:1,peak:3,longest:4,steps:1,word:0,work:27,nodes:14,pairs:2,completionMax:6us [00m01s] 3842 ab:aaba=aa,bbaa=1 infinite ab - - ab:ba=1 [00m01s] from: 3842 ab:aaba=aa,bbaa=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=b,b=a [00m01s] # 3843 solved: rounds:5,rules:2,peak:7,longest:6,steps:4,word:0,work:440,nodes:20,pairs:29,completionMax:80us [00m01s] 3843 ab:aaba=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3843 ab:aaba=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3844 solved: rounds:5,rules:2,peak:3,longest:4,steps:1,word:0,work:50,nodes:16,pairs:7,completionMax:17us [00m01s] 3844 ab:aaba=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3844 ab:aaba=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3845 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:14,pairs:0,completionMax:3us [00m01s] 3845 ab:aaba=aa,bbbb=1 infinite ab - - ab:aaba=aa,bbbb=1 [00m01s] # 3846 solved: rounds:4,rules:3,peak:12,longest:5,steps:5,word:2,work:1175,nodes:22,pairs:54,completionMax:248us [00m01s] 3846 ab:aaba=ab,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3846 ab:aaba=ab,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3847 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:156,nodes:12,pairs:8,completionMax:27us [00m01s] 3847 ab:aaba=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3847 ab:aaba=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3848 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:50,nodes:12,pairs:8,completionMax:13us [00m01s] 3848 ab:aaba=ab,abab=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m01s] from: 3848 ab:aaba=ab,abab=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m01s] # 3849 solved: rounds:3,rules:3,peak:8,longest:5,steps:5,word:4,work:811,nodes:20,pairs:38,completionMax:126us [00m01s] 3849 ab:aaba=ab,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3849 ab:aaba=ab,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3850 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:4,work:353,nodes:26,pairs:13,completionMax:83us [00m01s] 3850 ab:aaba=ab,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3850 ab:aaba=ab,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3851 solved: rounds:2,rules:2,peak:7,longest:4,steps:4,word:0,work:406,nodes:18,pairs:23,completionMax:40us [00m01s] 3851 ab:aaba=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3851 ab:aaba=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3852 solved: rounds:3,rules:3,peak:6,longest:4,steps:6,word:4,work:360,nodes:18,pairs:19,completionMax:64us [00m01s] 3852 ab:aaba=ab,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3852 ab:aaba=ab,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3853 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:65,nodes:16,pairs:9,completionMax:20us [00m01s] 3853 ab:aaba=ab,baba=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m01s] from: 3853 ab:aaba=ab,baba=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m01s] # 3854 solved: rounds:3,rules:2,peak:8,longest:11,steps:6,word:10,work:1438,nodes:36,pairs:24,completionMax:152us [00m01s] 3854 ab:aaba=ab,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3854 ab:aaba=ab,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3855 solved: rounds:3,rules:3,peak:7,longest:4,steps:10,word:4,work:686,nodes:16,pairs:16,completionMax:68us [00m01s] 3855 ab:aaba=ab,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3855 ab:aaba=ab,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3856 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:4,work:519,nodes:22,pairs:30,completionMax:141us [00m01s] 3856 ab:aaba=ab,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3856 ab:aaba=ab,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3857 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:78,nodes:16,pairs:5,completionMax:18us [00m01s] 3857 ab:aaba=ab,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3857 ab:aaba=ab,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3858 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:402,nodes:24,pairs:6,completionMax:23us [00m01s] 3858 ab:aaba=ab,bbbb=1 infinite ab - - ab:aaba=ab,abba=aabb,bbbb=1,ababa=abb,abbba=ababb [00m01s] # 3859 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:72,nodes:12,pairs:7,completionMax:20us [00m01s] 3859 ab:aaba=ba,aabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3859 ab:aaba=ba,aabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3860 solved: rounds:2,rules:2,peak:9,longest:4,steps:3,word:0,work:372,nodes:18,pairs:27,completionMax:72us [00m01s] 3860 ab:aaba=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3860 ab:aaba=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3861 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:46,nodes:16,pairs:8,completionMax:15us [00m01s] 3861 ab:aaba=ba,abab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3861 ab:aaba=ba,abab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3862 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:94,nodes:16,pairs:11,completionMax:20us [00m01s] 3862 ab:aaba=ba,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3862 ab:aaba=ba,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3863 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:2,work:37,nodes:12,pairs:6,completionMax:17us [00m01s] 3863 ab:aaba=ba,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3863 ab:aaba=ba,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3864 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:164,nodes:18,pairs:11,completionMax:27us [00m01s] 3864 ab:aaba=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3864 ab:aaba=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3865 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:38,nodes:16,pairs:6,completionMax:10us [00m01s] 3865 ab:aaba=ba,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3865 ab:aaba=ba,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3866 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:88,nodes:16,pairs:7,completionMax:25us [00m01s] 3866 ab:aaba=ba,baba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3866 ab:aaba=ba,baba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3867 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:197,nodes:16,pairs:8,completionMax:30us [00m01s] 3867 ab:aaba=ba,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3867 ab:aaba=ba,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3868 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:280,nodes:22,pairs:14,completionMax:29us [00m01s] 3868 ab:aaba=ba,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3868 ab:aaba=ba,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3869 solved: rounds:4,rules:2,peak:8,longest:11,steps:15,word:6,work:895,nodes:36,pairs:32,completionMax:134us [00m01s] 3869 ab:aaba=ba,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3869 ab:aaba=ba,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3870 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:306,nodes:18,pairs:23,completionMax:80us [00m01s] 3870 ab:aaba=ba,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3870 ab:aaba=ba,bbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3871 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:214,nodes:18,pairs:4,completionMax:19us [00m01s] 3871 ab:aaba=ba,bbbb=1 infinite ab - - ab:aaa=a,aaba=ba,bbbb=1,aabba=bba,aabbba=bbba [00m01s] # 3872 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:4,work:428,nodes:28,pairs:17,completionMax:66us [00m01s] 3872 ab:aaba=bb,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3872 ab:aaba=bb,aabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3873 solved: rounds:3,rules:2,peak:7,longest:11,steps:5,word:10,work:1007,nodes:32,pairs:18,completionMax:97us [00m01s] 3873 ab:aaba=bb,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3873 ab:aaba=bb,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3874 solved: rounds:3,rules:2,peak:8,longest:9,steps:14,word:4,work:1010,nodes:40,pairs:19,completionMax:72us [00m01s] 3874 ab:aaba=bb,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3874 ab:aaba=bb,abab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3875 solved: rounds:4,rules:2,peak:8,longest:11,steps:12,word:4,work:4308,nodes:46,pairs:33,completionMax:142us [00m01s] 3875 ab:aaba=bb,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3875 ab:aaba=bb,abba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3876 solved: rounds:3,rules:2,peak:8,longest:10,steps:7,word:4,work:2448,nodes:42,pairs:34,completionMax:180us [00m01s] 3876 ab:aaba=bb,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3876 ab:aaba=bb,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3877 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:4,work:31,nodes:12,pairs:3,completionMax:15us [00m01s] 3877 ab:aaba=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3877 ab:aaba=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3878 solved: rounds:2,rules:2,peak:5,longest:9,steps:8,word:4,work:223,nodes:24,pairs:7,completionMax:32us [00m01s] 3878 ab:aaba=bb,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3878 ab:aaba=bb,baab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3879 solved: rounds:3,rules:2,peak:10,longest:8,steps:4,word:4,work:1004,nodes:40,pairs:32,completionMax:101us [00m01s] 3879 ab:aaba=bb,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3879 ab:aaba=bb,baba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3880 solved: rounds:3,rules:2,peak:8,longest:11,steps:7,word:4,work:2610,nodes:44,pairs:28,completionMax:105us [00m01s] 3880 ab:aaba=bb,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3880 ab:aaba=bb,babb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3881 solved: rounds:3,rules:2,peak:7,longest:12,steps:4,word:4,work:1152,nodes:42,pairs:22,completionMax:81us [00m01s] 3881 ab:aaba=bb,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m01s] from: 3881 ab:aaba=bb,bbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m01s] # 3882 solved: rounds:3,rules:2,peak:7,longest:10,steps:3,word:6,work:682,nodes:28,pairs:38,completionMax:86us [00m01s] 3882 ab:aaba=bb,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3882 ab:aaba=bb,bbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3883 solved: rounds:3,rules:2,peak:10,longest:10,steps:9,word:4,work:3800,nodes:54,pairs:93,completionMax:300us [00m01s] 3883 ab:aaba=bb,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m01s] from: 3883 ab:aaba=bb,bbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m01s] # 3884 solved: rounds:5,rules:6,peak:19,longest:20,steps:12,word:8,work:43673,nodes:164,pairs:246,completionMax:1820us [00m01s] 3884 ab:aaba=bb,bbbb=1 finite:60;center:1,aaaa,aaaaaaaa;group:a-aaaaaaaaaaa,b-aaabaaa a/b - - ab:aaaaaaaaaaaa=1,aaaab=baaaa,bb=aaba,bab=abaaa,baab=aaabaa,baaab=aaaaaaaaa [00m01s] # 3885 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:197,nodes:16,pairs:8,completionMax:26us [00m01s] 3885 ab:aabb=aa,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3885 ab:aabb=aa,abaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3886 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [00m01s] 3886 ab:aabb=aa,abab=1 infinite ab - - ab:aabb=aa,abab=1 [00m01s] # 3887 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:93,nodes:16,pairs:7,completionMax:19us [00m01s] 3887 ab:aabb=aa,abba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3887 ab:aabb=aa,abba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3888 solved: rounds:4,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:12,pairs:6,completionMax:11us [00m01s] 3888 ab:aabb=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3888 ab:aabb=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3889 solved: rounds:3,rules:2,peak:5,longest:8,steps:1,word:2,work:179,nodes:22,pairs:12,completionMax:46us [00m01s] 3889 ab:aabb=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3889 ab:aabb=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3890 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:83,nodes:14,pairs:11,completionMax:23us [00m01s] 3890 ab:aabb=aa,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3890 ab:aabb=aa,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3891 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:145,nodes:20,pairs:8,completionMax:29us [00m01s] 3891 ab:aabb=aa,baba=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m01s] from: 3891 ab:aabb=aa,baba=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m01s] # 3892 solved: rounds:3,rules:2,peak:7,longest:4,steps:7,word:0,work:614,nodes:16,pairs:14,completionMax:44us [00m01s] 3892 ab:aabb=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3892 ab:aabb=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3893 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:181,nodes:18,pairs:9,completionMax:27us [00m01s] 3893 ab:aabb=aa,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3893 ab:aabb=aa,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3894 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:1118,nodes:24,pairs:31,completionMax:105us [00m01s] 3894 ab:aabb=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3894 ab:aabb=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3895 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:251,nodes:18,pairs:13,completionMax:59us [00m01s] 3895 ab:aabb=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3895 ab:aabb=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3896 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:3us [00m01s] 3896 ab:aabb=aa,bbbb=1 infinite ab - - ab:aabb=aa,bbbb=1 [00m01s] # 3897 solved: rounds:2,rules:2,peak:7,longest:4,steps:5,word:0,work:370,nodes:16,pairs:15,completionMax:44us [00m01s] 3897 ab:aabb=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3897 ab:aabb=ab,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3898 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m01s] 3898 ab:aabb=ab,abab=1 infinite ab - - ab:aabb=ab,abab=1 [00m01s] # 3899 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:99,nodes:16,pairs:9,completionMax:19us [00m01s] 3899 ab:aabb=ab,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3899 ab:aabb=ab,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3900 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:13,nodes:12,pairs:6,completionMax:15us [00m01s] 3900 ab:aabb=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3900 ab:aabb=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3901 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:135,nodes:16,pairs:13,completionMax:22us [00m01s] 3901 ab:aabb=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3901 ab:aabb=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3902 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:31,nodes:16,pairs:5,completionMax:30us [00m01s] 3902 ab:aabb=ab,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3902 ab:aabb=ab,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3903 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:166,nodes:14,pairs:13,completionMax:30us [00m01s] 3903 ab:aabb=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3903 ab:aabb=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3904 solved: rounds:3,rules:2,peak:8,longest:4,steps:2,word:0,work:244,nodes:18,pairs:23,completionMax:61us [00m01s] 3904 ab:aabb=ab,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3904 ab:aabb=ab,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3905 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:2,work:73,nodes:18,pairs:6,completionMax:20us [00m01s] 3905 ab:aabb=ab,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a/b - - ab:aaaaa=a,ab=aaaa,bbbb=1 [00m01s] from: 3905 ab:aabb=ab,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=a,b=b [00m01s] # 3906 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:522,nodes:20,pairs:25,completionMax:73us [00m01s] 3906 ab:aabb=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3906 ab:aabb=ba,abaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3907 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m01s] 3907 ab:aabb=ba,abab=1 infinite ab - - ab:aabb=ba,abab=1 [00m01s] # 3908 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:202,nodes:22,pairs:16,completionMax:50us [00m01s] 3908 ab:aabb=ba,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3908 ab:aabb=ba,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3909 solved: rounds:3,rules:2,peak:7,longest:4,steps:4,word:0,work:477,nodes:18,pairs:21,completionMax:50us [00m01s] 3909 ab:aabb=ba,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3909 ab:aabb=ba,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3910 solved: rounds:2,rules:2,peak:8,longest:4,steps:7,word:0,work:455,nodes:16,pairs:20,completionMax:71us [00m01s] 3910 ab:aabb=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3910 ab:aabb=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3911 solved: rounds:3,rules:9,peak:17,longest:6,steps:4,word:0,work:3572,nodes:50,pairs:81,completionMax:495us [00m01s] 3911 ab:aabb=ba,baba=1 infinite;group:a-bab,b-aba ab - - ab:aabb=ba,abab=1,baaa=aaab,baab=abba,baba=1,bbaa=ab,bbba=abbb,abbab=bba,babba=abb [00m01s] # 3912 solved: rounds:3,rules:2,peak:9,longest:4,steps:5,word:0,work:449,nodes:18,pairs:37,completionMax:86us [00m01s] 3912 ab:aabb=ba,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3912 ab:aabb=ba,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3913 solved: rounds:3,rules:2,peak:14,longest:5,steps:2,word:0,work:1274,nodes:32,pairs:69,completionMax:179us [00m01s] 3913 ab:aabb=ba,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3913 ab:aabb=ba,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3914 solved: rounds:4,rules:8,peak:18,longest:9,steps:5,word:6,work:8796,nodes:72,pairs:86,completionMax:746us [00m01s] 3914 ab:aabb=ba,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab a/b - - ab:aaaaa=a,aaaaba=ba,bba=aabaa,baba=abaaaa,baaba=aaabaaa,baaaba=aa,abb=aaaba,bbbb=1 [00m01s] # 3915 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:17,nodes:12,pairs:4,completionMax:9us [00m01s] 3915 ab:aabb=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3915 ab:aabb=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3916 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:254,nodes:18,pairs:8,completionMax:22us [00m01s] 3916 ab:aabb=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3916 ab:aabb=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3917 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:14,pairs:2,completionMax:9us [00m01s] 3917 ab:aabb=bb,bbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m01s] from: 3917 ab:aabb=bb,bbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m01s] # 3918 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:81,nodes:16,pairs:8,completionMax:40us [00m01s] 3918 ab:abaa=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3918 ab:abaa=aa,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3919 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:136,nodes:14,pairs:14,completionMax:31us [00m01s] 3919 ab:abaa=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3919 ab:abaa=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3920 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:346,nodes:16,pairs:23,completionMax:49us [00m01s] 3920 ab:abaa=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3920 ab:abaa=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3921 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:4,work:27,nodes:12,pairs:3,completionMax:16us [00m01s] 3921 ab:abaa=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3921 ab:abaa=bb,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3922 solved: rounds:3,rules:3,peak:8,longest:4,steps:4,word:2,work:536,nodes:20,pairs:27,completionMax:112us [00m01s] 3922 ab:abab=aa,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3922 ab:abab=aa,abba=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3923 solved: rounds:4,rules:2,peak:6,longest:4,steps:3,word:0,work:283,nodes:14,pairs:9,completionMax:39us [00m01s] 3923 ab:abab=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3923 ab:abab=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3924 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:2,work:277,nodes:22,pairs:19,completionMax:70us [00m01s] 3924 ab:abab=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3924 ab:abab=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3925 solved: rounds:3,rules:3,peak:5,longest:7,steps:6,word:6,work:473,nodes:26,pairs:13,completionMax:33us [00m01s] 3925 ab:abab=aa,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3925 ab:abab=aa,baab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3926 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:89,nodes:16,pairs:9,completionMax:22us [00m01s] 3926 ab:abab=aa,baba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m01s] from: 3926 ab:abab=aa,baba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m01s] # 3927 solved: rounds:2,rules:2,peak:10,longest:4,steps:3,word:0,work:438,nodes:16,pairs:20,completionMax:60us [00m01s] 3927 ab:abab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3927 ab:abab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3928 solved: rounds:4,rules:3,peak:7,longest:6,steps:7,word:4,work:758,nodes:28,pairs:19,completionMax:71us [00m01s] 3928 ab:abab=aa,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3928 ab:abab=aa,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3929 solved: rounds:2,rules:2,peak:12,longest:4,steps:4,word:0,work:923,nodes:22,pairs:25,completionMax:86us [00m01s] 3929 ab:abab=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3929 ab:abab=aa,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3930 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:1544,nodes:26,pairs:28,completionMax:139us [00m01s] 3930 ab:abab=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3930 ab:abab=aa,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3931 solved: rounds:2,rules:4,peak:4,longest:6,steps:5,word:2,work:456,nodes:26,pairs:5,completionMax:72us [00m01s] 3931 ab:abab=aa,bbbb=1 infinite b/a - - ab:bbbb=1,aba=aabbb,aabbba=aaab,aaabba=aaaabb [00m01s] # 3932 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:14,pairs:6,completionMax:17us [00m01s] 3932 ab:abab=ab,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3932 ab:abab=ab,abba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3933 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:10,pairs:5,completionMax:11us [00m01s] 3933 ab:abab=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3933 ab:abab=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3934 solved: rounds:4,rules:2,peak:5,longest:4,steps:1,word:0,work:109,nodes:14,pairs:8,completionMax:44us [00m01s] 3934 ab:abab=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3934 ab:abab=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3935 solved: rounds:2,rules:1,peak:4,longest:4,steps:1,word:0,work:77,nodes:14,pairs:5,completionMax:27us [00m01s] 3935 ab:abab=ab,baba=1 infinite ab - - ab:ba=1 [00m01s] from: 3935 ab:abab=ab,baba=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=b,b=a [00m01s] # 3936 solved: rounds:2,rules:2,peak:7,longest:4,steps:2,word:0,work:199,nodes:14,pairs:16,completionMax:64us [00m01s] 3936 ab:abab=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3936 ab:abab=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3937 solved: rounds:2,rules:1,peak:4,longest:4,steps:1,word:0,work:73,nodes:16,pairs:4,completionMax:21us [00m01s] 3937 ab:abab=ab,bbaa=1 infinite ab - - ab:ba=1 [00m01s] from: 3937 ab:abab=ab,bbaa=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=b,b=a [00m01s] # 3938 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:81,nodes:14,pairs:9,completionMax:35us [00m01s] 3938 ab:abab=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3938 ab:abab=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3939 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:14,pairs:1,completionMax:20us [00m01s] 3939 ab:abab=ab,bbbb=1 infinite ab - - ab:aba=a,bbbb=1 [00m01s] from: 3939 ab:abab=ab,bbbb=1 infinite to: 552 ab:aba=a,bbbb=1 infinite a=a,b=b [00m01s] # 3940 solved: rounds:2,rules:5,peak:6,longest:4,steps:3,word:0,work:268,nodes:22,pairs:10,completionMax:54us [00m01s] 3940 ab:abab=ba,abba=1 infinite;group:a-abb,b-aab ab - - ab:baa=aab,bba=abb,aabb=1,abab=ba,baba=ab [00m01s] # 3941 solved: rounds:3,rules:2,peak:10,longest:4,steps:5,word:0,work:924,nodes:22,pairs:53,completionMax:182us [00m01s] 3941 ab:abab=ba,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3941 ab:abab=ba,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3942 solved: rounds:2,rules:2,peak:8,longest:4,steps:4,word:0,work:412,nodes:14,pairs:23,completionMax:75us [00m01s] 3942 ab:abab=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3942 ab:abab=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3943 solved: rounds:3,rules:2,peak:5,longest:4,steps:1,word:0,work:64,nodes:16,pairs:8,completionMax:22us [00m01s] 3943 ab:abab=ba,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3943 ab:abab=ba,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3944 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:372,nodes:16,pairs:28,completionMax:122us [00m01s] 3944 ab:abab=ba,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3944 ab:abab=ba,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3945 solved: rounds:3,rules:5,peak:10,longest:5,steps:3,word:0,work:883,nodes:28,pairs:28,completionMax:105us [00m01s] 3945 ab:abab=ba,bbaa=1 infinite;group:a-abb,b-aab ab - - ab:baa=aab,bba=abb,aabb=1,abab=ba,baba=ab [00m01s] from: 3945 ab:abab=ba,bbaa=1 infinite;group:a-abb,b-aab to: 3940 ab:abab=ba,abba=1 infinite;group:a-abb,b-aab a=a,b=b [00m01s] # 3946 solved: rounds:2,rules:2,peak:8,longest:4,steps:4,word:0,work:648,nodes:18,pairs:31,completionMax:104us [00m01s] 3946 ab:abab=ba,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3946 ab:abab=ba,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3947 solved: rounds:4,rules:9,peak:12,longest:11,steps:14,word:8,work:10019,nodes:88,pairs:51,completionMax:453us [00m01s] 3947 ab:abab=ba,bbbb=1 finite:64;idempotents:1,aaaa;center:1,aaaa reversed:b/a - - ab:bbbb=1,aba=babbb,aab=bbbabba,abbbabb=bbabbba,abbabbb=baa,abbaa=bbabb,abbabbabb=bbaaa,abbbaaa=bbbab,aaaaa=a [00m01s] # 3948 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:64,nodes:20,pairs:5,completionMax:22us [00m01s] 3948 ab:abab=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3948 ab:abab=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3949 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:118,nodes:24,pairs:7,completionMax:24us [00m01s] 3949 ab:abab=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3949 ab:abab=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3950 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:4,work:199,nodes:20,pairs:9,completionMax:42us [00m01s] 3950 ab:abab=bb,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3950 ab:abab=bb,bbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3951 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:154,nodes:16,pairs:7,completionMax:21us [00m01s] 3951 ab:abab=bb,bbbb=1 infinite;group:a-babbb,b-bbb ab - - ab:aba=b,bba=abb,bbbb=1 [00m01s] from: 3951 ab:abab=bb,bbbb=1 infinite;group:a-babbb,b-bbb to: 562 ab:aba=b,bbbb=1 infinite;group:a-babbb,b-bbb a=a,b=b [00m01s] # 3952 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:8,pairs:4,completionMax:11us [00m01s] 3952 ab:abba=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3952 ab:abba=aa,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3953 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:4,work:149,nodes:22,pairs:8,completionMax:41us [00m01s] 3953 ab:abba=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m01s] from: 3953 ab:abba=aa,baaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m01s] # 3954 solved: rounds:2,rules:2,peak:9,longest:4,steps:2,word:0,work:364,nodes:20,pairs:14,completionMax:49us [00m01s] 3954 ab:abba=aa,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3954 ab:abba=aa,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3955 solved: rounds:3,rules:2,peak:5,longest:4,steps:1,word:0,work:133,nodes:20,pairs:10,completionMax:25us [00m01s] 3955 ab:abba=aa,baba=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m01s] from: 3955 ab:abba=aa,baba=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m01s] # 3956 solved: rounds:3,rules:2,peak:10,longest:4,steps:3,word:0,work:440,nodes:18,pairs:31,completionMax:54us [00m01s] 3956 ab:abba=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3956 ab:abba=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3957 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:62,nodes:16,pairs:4,completionMax:22us [00m01s] 3957 ab:abba=aa,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3957 ab:abba=aa,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3958 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:14,pairs:0,completionMax:6us [00m01s] 3958 ab:abba=aa,bbbb=1 infinite ab - - ab:abba=aa,bbbb=1 [00m01s] # 3959 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:79,nodes:8,pairs:10,completionMax:25us [00m01s] 3959 ab:abba=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3959 ab:abba=ab,abbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3960 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:260,nodes:18,pairs:20,completionMax:80us [00m01s] 3960 ab:abba=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3960 ab:abba=ab,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3961 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:48,nodes:16,pairs:6,completionMax:35us [00m01s] 3961 ab:abba=ab,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3961 ab:abba=ab,baab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3962 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:16,pairs:2,completionMax:7us [00m01s] 3962 ab:abba=ab,baba=1 infinite ab - - ab:bba=b,baba=1 [00m01s] from: 3962 ab:abba=ab,baba=1 infinite to: 516 ab:aab=a,abab=1 infinite a=b,b=a [00m01s] # 3963 solved: rounds:2,rules:2,peak:7,longest:4,steps:2,word:0,work:203,nodes:14,pairs:17,completionMax:55us [00m01s] 3963 ab:abba=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3963 ab:abba=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3964 solved: rounds:2,rules:1,peak:4,longest:4,steps:1,word:0,work:54,nodes:14,pairs:4,completionMax:18us [00m01s] 3964 ab:abba=ab,bbaa=1 infinite ab - - ab:ba=1 [00m01s] from: 3964 ab:abba=ab,bbaa=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=b,b=a [00m01s] # 3965 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:82,nodes:14,pairs:11,completionMax:17us [00m01s] 3965 ab:abba=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3965 ab:abba=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3966 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:137,nodes:14,pairs:16,completionMax:32us [00m01s] 3966 ab:abba=ab,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3966 ab:abba=ab,bbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3967 solved: rounds:4,rules:3,peak:7,longest:5,steps:3,word:2,work:311,nodes:16,pairs:18,completionMax:49us [00m01s] 3967 ab:abba=ab,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a/b - - ab:aaaaa=a,ab=aaaa,bbbb=1 [00m01s] from: 3967 ab:abba=ab,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=a,b=b [00m01s] # 3968 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:107,nodes:16,pairs:10,completionMax:34us [00m01s] 3968 ab:abba=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3968 ab:abba=ba,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3969 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:26,nodes:14,pairs:3,completionMax:13us [00m01s] 3969 ab:abba=ba,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3969 ab:abba=ba,baba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3970 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:205,nodes:20,pairs:12,completionMax:44us [00m01s] 3970 ab:abba=ba,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m01s] from: 3970 ab:abba=ba,bbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m01s] # 3971 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:199,nodes:16,pairs:14,completionMax:50us [00m01s] 3971 ab:abba=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3971 ab:abba=bb,abbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3972 solved: rounds:3,rules:2,peak:14,longest:6,steps:8,word:0,work:2709,nodes:32,pairs:117,completionMax:709us [00m01s] 3972 ab:abba=bb,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3972 ab:abba=bb,baaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3973 solved: rounds:2,rules:2,peak:12,longest:5,steps:4,word:0,work:759,nodes:28,pairs:24,completionMax:127us [00m01s] 3973 ab:abba=bb,baab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3973 ab:abba=bb,baab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3974 solved: rounds:3,rules:3,peak:7,longest:8,steps:11,word:20,work:2737,nodes:28,pairs:30,completionMax:163us [00m01s] 3974 ab:abba=bb,baba=1 finite:16;center:1,bbbb;group:a-abbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbb,aa=bbbb [00m01s] from: 3974 ab:abba=bb,baba=1 finite:16;center:1,bbbb;group:a-abbbb,b-bbbbbbb to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=b,b=a [00m01s] # 3975 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:29,nodes:14,pairs:7,completionMax:29us [00m01s] 3975 ab:abba=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3975 ab:abba=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3976 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:71,nodes:14,pairs:11,completionMax:50us [00m01s] 3976 ab:abba=bb,bbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m01s] from: 3976 ab:abba=bb,bbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m01s] # 3977 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:14,pairs:0,completionMax:6us [00m01s] 3977 ab:abba=bb,bbbb=1 infinite;group:a-bbabb,b-bbb ab - - ab:abba=bb,bbbb=1 [00m01s] # 3978 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:2,work:71,nodes:16,pairs:5,completionMax:36us [00m01s] 3978 ab:abbb=aa,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a/b - - ab:aaaaa=a,ab=aaaa,bbbb=1 [00m01s] from: 3978 ab:abbb=aa,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=a,b=b [00m01s] # 3979 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:8us [00m01s] 3979 ab:abbb=ab,bbbb=1 infinite ab - - ab:abb=a,bbbb=1 [00m01s] # 3980 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:27,nodes:8,pairs:0,completionMax:5us [00m01s] 3980 ab:abbb=ba,bbbb=1 infinite b/a - - ab:bbbb=1,ba=abbb [00m01s] from: 3980 ab:abbb=ba,bbbb=1 infinite to: 553 ab:aba=b,aaaa=1 infinite a=b,b=a [00m01s] # 3981 solved: rounds:4,rules:2,peak:4,longest:4,steps:2,word:2,work:92,nodes:14,pairs:16,completionMax:37us [00m01s] 3981 ab:abbb=bb,bbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m01s] from: 3981 ab:abbb=bb,bbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m01s] # 3982 solved: rounds:3,rules:2,peak:15,longest:5,steps:6,word:0,work:2304,nodes:32,pairs:26,completionMax:204us [00m01s] 3982 ab:baab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3982 ab:baab=aa,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3983 solved: rounds:1,rules:2,peak:3,longest:5,steps:7,word:6,work:150,nodes:12,pairs:3,completionMax:14us [00m01s] 3983 ab:baab=aa,bbbb=1 infinite b/a - - ab:bbbb=1,baa=aabbb [00m01s] # 3984 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:549,nodes:18,pairs:37,completionMax:99us [00m01s] 3984 ab:baab=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3984 ab:baab=ab,babb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3985 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:231,nodes:12,pairs:22,completionMax:40us [00m01s] 3985 ab:baab=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m01s] from: 3985 ab:baab=ab,bbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m01s] # 3986 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:2,work:343,nodes:18,pairs:16,completionMax:49us [00m01s] 3986 ab:baab=ab,bbbb=1 finite:20;idempotents:1,ab,aaaa,aabb,aaabbb a/b - - ab:aaaaa=a,ba=aaaa,bbbb=1 [00m01s] from: 3986 ab:baab=ab,bbbb=1 finite:20;idempotents:1,ab,aaaa,aabb,aaabbb to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa anti:a=a,b=b [00m01s] # 3987 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:2,work:361,nodes:18,pairs:10,completionMax:43us [00m01s] 3987 ab:baab=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m01s] from: 3987 ab:baab=bb,babb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m01s] # 3988 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:46,nodes:16,pairs:4,completionMax:14us [00m01s] 3988 ab:baab=bb,bbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m01s] from: 3988 ab:baab=bb,bbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m01s] # 3989 solved: rounds:4,rules:3,peak:5,longest:7,steps:7,word:4,work:559,nodes:28,pairs:14,completionMax:48us [00m01s] 3989 ab:baba=aa,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m01s] from: 3989 ab:baba=aa,bbaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m01s] # 3990 solved: rounds:3,rules:5,peak:7,longest:5,steps:3,word:0,work:634,nodes:24,pairs:22,completionMax:63us [00m01s] 3990 ab:baba=ab,bbaa=1 infinite;group:a-abb,b-aab ab - - ab:baa=aab,bba=abb,aabb=1,abab=ba,baba=ab [00m01s] from: 3990 ab:baba=ab,bbaa=1 infinite;group:a-abb,b-aab to: 3940 ab:abab=ba,abba=1 infinite;group:a-abb,b-aab a=a,b=b [00m01s] # 3991 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:12,pairs:0,completionMax:3us [00m01s] 3991 ab:baba=ba,bbaa=1 infinite ab - - ab:baba=ba,bbaa=1 [00m01s] # 3992 solved: rounds:3,rules:8,peak:18,longest:9,steps:5,word:4,work:6909,nodes:70,pairs:44,completionMax:508us [00m01s] 3992 ab:babb=aa,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab a/b - - ab:aaaaa=a,aaaaba=ba,bba=aabaa,baba=abaaaa,baaba=aaabaaa,baaaba=aa,abb=aaaba,bbbb=1 [00m01s] from: 3992 ab:babb=aa,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab to: 3914 ab:aabb=ba,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab a=a,b=b [00m01s] # 3993 solved: rounds:1,rules:2,peak:3,longest:4,steps:6,word:2,work:87,nodes:12,pairs:4,completionMax:13us [00m01s] 3993 ab:babb=ab,bbbb=1 infinite b/a - - ab:bbbb=1,ba=abbb [00m01s] from: 3993 ab:babb=ab,bbbb=1 infinite to: 553 ab:aba=b,aaaa=1 infinite a=b,b=a [00m01s] # 3994 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:16,pairs:2,completionMax:8us [00m01s] 3994 ab:babb=ba,bbbb=1 infinite ab - - ab:abb=a,bbbb=1 [00m01s] from: 3994 ab:babb=ba,bbbb=1 infinite to: 3979 ab:abbb=ab,bbbb=1 infinite a=a,b=b [00m01s] # 3995 solved: rounds:5,rules:2,peak:5,longest:4,steps:2,word:2,work:119,nodes:16,pairs:16,completionMax:41us [00m01s] 3995 ab:babb=bb,bbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m01s] from: 3995 ab:babb=bb,bbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m01s] # 3996 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:2,completionMax:6us [00m01s] 3996 ab:aab=aaa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 3996 ab:aab=aaa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 3997 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:7us [00m01s] 3997 ab:aab=aaa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 3997 ab:aab=aaa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 3998 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:8us [00m01s] 3998 ab:aab=aaa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 3998 ab:aab=aaa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 3999 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:8,pairs:2,completionMax:3us [00m01s] 3999 ab:aab=aaa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 3999 ab:aab=aaa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4000 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:76,nodes:14,pairs:7,completionMax:26us [00m01s] 4000 ab:aab=aaa,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4000 ab:aab=aaa,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4001 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:91,nodes:14,pairs:6,completionMax:23us [00m01s] 4001 ab:aab=aaa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4001 ab:aab=aaa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4002 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:197,nodes:18,pairs:7,completionMax:179us [00m01s] 4002 ab:aab=aaa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4002 ab:aab=aaa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4003 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:95,nodes:14,pairs:6,completionMax:21us [00m01s] 4003 ab:aab=aaa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4003 ab:aab=aaa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4004 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:97,nodes:18,pairs:4,completionMax:19us [00m01s] 4004 ab:aab=aaa,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4004 ab:aab=aaa,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4005 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:101,nodes:18,pairs:4,completionMax:17us [00m01s] 4005 ab:aab=aaa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4005 ab:aab=aaa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4006 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:124,nodes:18,pairs:6,completionMax:21us [00m01s] 4006 ab:aab=aaa,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4006 ab:aab=aaa,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4007 solved: rounds:2,rules:2,peak:7,longest:6,steps:8,word:0,work:355,nodes:18,pairs:6,completionMax:21us [00m01s] 4007 ab:aab=aaa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4007 ab:aab=aaa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4008 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:121,nodes:18,pairs:5,completionMax:16us [00m01s] 4008 ab:aab=aaa,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4008 ab:aab=aaa,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4009 solved: rounds:5,rules:2,peak:9,longest:8,steps:4,word:0,work:1060,nodes:28,pairs:18,completionMax:60us [00m01s] 4009 ab:aab=aaa,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4009 ab:aab=aaa,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4010 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:208,nodes:18,pairs:8,completionMax:36us [00m01s] 4010 ab:aab=aaa,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4010 ab:aab=aaa,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4011 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:61,nodes:18,pairs:1,completionMax:5us [00m01s] 4011 ab:aab=aaa,bbbb=1 infinite ab - - ab:aab=aaa,bbbb=1,aaaaaa=aa [00m01s] # 4012 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:73,nodes:12,pairs:4,completionMax:16us [00m01s] 4012 ab:aba=aaa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4012 ab:aba=aaa,aaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4013 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:98,nodes:12,pairs:7,completionMax:34us [00m01s] 4013 ab:aba=aaa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4013 ab:aba=aaa,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4014 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:4,completionMax:12us [00m01s] 4014 ab:aba=aaa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4014 ab:aba=aaa,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4015 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:10,pairs:3,completionMax:21us [00m01s] 4015 ab:aba=aaa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4015 ab:aba=aaa,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4016 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:102,nodes:12,pairs:7,completionMax:16us [00m01s] 4016 ab:aba=aaa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4016 ab:aba=aaa,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4017 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:105,nodes:10,pairs:7,completionMax:21us [00m01s] 4017 ab:aba=aaa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4017 ab:aba=aaa,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4018 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:36,nodes:8,pairs:3,completionMax:12us [00m01s] 4018 ab:aba=aaa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4018 ab:aba=aaa,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4019 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:358,nodes:18,pairs:20,completionMax:80us [00m01s] 4019 ab:aba=aaa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4019 ab:aba=aaa,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4020 solved: rounds:5,rules:2,peak:6,longest:5,steps:4,word:0,work:415,nodes:18,pairs:17,completionMax:62us [00m01s] 4020 ab:aba=aaa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4020 ab:aba=aaa,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4021 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:3us [00m01s] 4021 ab:aba=aaa,bbbb=1 infinite ab - - ab:aba=aaa,bbbb=1 [00m01s] # 4022 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:77,nodes:12,pairs:3,completionMax:20us [00m01s] 4022 ab:aba=aab,aaaa=1 infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 ab - - ab:ba=ab,aaaa=1 [00m01s] from: 4022 ab:aba=aab,aaaa=1 infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 to: 618 ab:ba=ab,aaaa=1 infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 a=a,b=b [00m01s] # 4023 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:149,nodes:16,pairs:6,completionMax:20us [00m01s] 4023 ab:aba=aab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4023 ab:aba=aab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4024 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:153,nodes:16,pairs:6,completionMax:18us [00m01s] 4024 ab:aba=aab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4024 ab:aba=aab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4025 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:30,nodes:10,pairs:0,completionMax:3us [00m01s] 4025 ab:aba=aab,aabb=1 infinite ab - - ab:aba=aab,aabb=1 [00m01s] # 4026 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:157,nodes:16,pairs:6,completionMax:24us [00m01s] 4026 ab:aba=aab,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4026 ab:aba=aab,abaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4027 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:34,nodes:10,pairs:0,completionMax:4us [00m01s] 4027 ab:aba=aab,abab=1 infinite ab - - ab:aba=aab,aabb=1 [00m01s] from: 4027 ab:aba=aab,abab=1 infinite to: 4025 ab:aba=aab,aabb=1 infinite a=a,b=b [00m01s] # 4028 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:146,nodes:16,pairs:7,completionMax:22us [00m01s] 4028 ab:aba=aab,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m01s] from: 4028 ab:aba=aab,abba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m01s] # 4029 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:145,nodes:14,pairs:1,completionMax:11us [00m01s] 4029 ab:aba=aab,abbb=1 infinite ab - - ab:aba=aab,abbb=1,aabba=aaabb [00m01s] # 4030 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:156,nodes:18,pairs:4,completionMax:23us [00m01s] 4030 ab:aba=aab,baaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4030 ab:aba=aab,baaa=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4031 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:385,nodes:22,pairs:7,completionMax:26us [00m01s] 4031 ab:aba=aab,baab=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m01s] from: 4031 ab:aba=aab,baab=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m01s] # 4032 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:389,nodes:22,pairs:7,completionMax:36us [00m01s] 4032 ab:aba=aab,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m01s] from: 4032 ab:aba=aab,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m01s] # 4033 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:432,nodes:18,pairs:7,completionMax:32us [00m01s] 4033 ab:aba=aab,babb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb ab - - ab:ba=ab,abbb=1 [00m01s] from: 4033 ab:aba=aab,babb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=b [00m01s] # 4034 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:71,nodes:12,pairs:3,completionMax:13us [00m01s] 4034 ab:aba=aab,bbaa=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m01s] from: 4034 ab:aba=aab,bbaa=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m01s] # 4035 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:308,nodes:18,pairs:12,completionMax:27us [00m01s] 4035 ab:aba=aab,bbab=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb ab - - ab:ba=ab,abbb=1 [00m01s] from: 4035 ab:aba=aab,bbab=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=b [00m01s] # 4036 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:67,nodes:12,pairs:3,completionMax:26us [00m01s] 4036 ab:aba=aab,bbba=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb ab - - ab:ba=ab,abbb=1 [00m01s] from: 4036 ab:aba=aab,bbba=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=b [00m01s] # 4037 solved: rounds:2,rules:4,peak:4,longest:7,steps:5,word:0,work:488,nodes:26,pairs:3,completionMax:20us [00m01s] 4037 ab:aba=aab,bbbb=1 infinite ab - - ab:aba=aab,bbbb=1,aabba=aaabb,aaabbba=aaaabbb [00m01s] # 4038 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:43,nodes:12,pairs:3,completionMax:13us [00m01s] 4038 ab:abb=aaa,aaaa=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m01s] from: 4038 ab:abb=aaa,aaaa=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m01s] # 4039 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:4,work:17,nodes:16,pairs:3,completionMax:9us [00m01s] 4039 ab:abb=aaa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4039 ab:abb=aaa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4040 solved: rounds:4,rules:2,peak:5,longest:8,steps:4,word:4,work:249,nodes:16,pairs:11,completionMax:47us [00m01s] 4040 ab:abb=aaa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4040 ab:abb=aaa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4041 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:47,nodes:12,pairs:3,completionMax:13us [00m01s] 4041 ab:abb=aaa,aabb=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m01s] from: 4041 ab:abb=aaa,aabb=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m01s] # 4042 solved: rounds:3,rules:2,peak:5,longest:8,steps:4,word:4,work:272,nodes:20,pairs:9,completionMax:35us [00m01s] 4042 ab:abb=aaa,abaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4042 ab:abb=aaa,abaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4043 solved: rounds:4,rules:3,peak:12,longest:8,steps:6,word:8,work:1943,nodes:34,pairs:36,completionMax:195us [00m01s] 4043 ab:abb=aaa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aa [00m01s] from: 4043 ab:abb=aaa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=a,b=b [00m01s] # 4044 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:47,nodes:12,pairs:3,completionMax:12us [00m01s] 4044 ab:abb=aaa,abba=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m01s] from: 4044 ab:abb=aaa,abba=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m01s] # 4045 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:4,work:21,nodes:16,pairs:3,completionMax:11us [00m01s] 4045 ab:abb=aaa,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4045 ab:abb=aaa,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4046 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:4,work:140,nodes:24,pairs:9,completionMax:37us [00m01s] 4046 ab:abb=aaa,baaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4046 ab:abb=aaa,baaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4047 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:162,nodes:18,pairs:6,completionMax:20us [00m01s] 4047 ab:abb=aaa,baab=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m01s] from: 4047 ab:abb=aaa,baab=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m01s] # 4048 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:661,nodes:28,pairs:13,completionMax:54us [00m01s] 4048 ab:abb=aaa,baba=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aa [00m01s] from: 4048 ab:abb=aaa,baba=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=a,b=b [00m01s] # 4049 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:4,work:144,nodes:24,pairs:9,completionMax:38us [00m01s] 4049 ab:abb=aaa,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4049 ab:abb=aaa,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4050 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:320,nodes:22,pairs:16,completionMax:43us [00m01s] 4050 ab:abb=aaa,bbaa=1 infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m01s] from: 4050 ab:abb=aaa,bbaa=1 infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m01s] # 4051 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:4,work:616,nodes:26,pairs:25,completionMax:124us [00m01s] 4051 ab:abb=aaa,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4051 ab:abb=aaa,bbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4052 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:4,work:225,nodes:26,pairs:8,completionMax:48us [00m01s] 4052 ab:abb=aaa,bbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4052 ab:abb=aaa,bbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4053 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:34,nodes:18,pairs:2,completionMax:12us [00m01s] 4053 ab:abb=aaa,bbbb=1 infinite ab - - ab:abb=aaa,bbbb=1,aaaaa=a [00m01s] # 4054 solved: rounds:1,rules:3,peak:4,longest:5,steps:3,word:0,work:65,nodes:16,pairs:2,completionMax:9us [00m01s] 4054 ab:abb=aab,aaaa=1 finite:20;idempotents:1,baaa,bbaa,bbba,bbbb ba - - ab:ab=bb,aaaa=1,bbbbb=b [00m01s] # 4055 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:2,completionMax:7us [00m01s] 4055 ab:abb=aab,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4055 ab:abb=aab,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4056 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:113,nodes:12,pairs:8,completionMax:20us [00m01s] 4056 ab:abb=aab,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4056 ab:abb=aab,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4057 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:10,pairs:2,completionMax:6us [00m01s] 4057 ab:abb=aab,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4057 ab:abb=aab,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4058 solved: rounds:4,rules:2,peak:4,longest:4,steps:4,word:0,work:174,nodes:12,pairs:10,completionMax:25us [00m01s] 4058 ab:abb=aab,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4058 ab:abb=aab,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4059 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:403,nodes:22,pairs:24,completionMax:61us [00m01s] 4059 ab:abb=aab,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4059 ab:abb=aab,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4060 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:117,nodes:12,pairs:8,completionMax:18us [00m01s] 4060 ab:abb=aab,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4060 ab:abb=aab,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4061 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:91,nodes:16,pairs:7,completionMax:24us [00m01s] 4061 ab:abb=aab,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4061 ab:abb=aab,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4062 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:71,nodes:12,pairs:7,completionMax:12us [00m01s] 4062 ab:abb=aab,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4062 ab:abb=aab,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4063 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:131,nodes:18,pairs:7,completionMax:29us [00m01s] 4063 ab:abb=aab,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4063 ab:abb=aab,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4064 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:0,work:120,nodes:24,pairs:6,completionMax:26us [00m01s] 4064 ab:abb=aba,aaaa=1 finite:20;idempotents:1,aaab,aabb,abbb,bbbb ba - - ab:ba=bb,aaaa=1,bbbbb=b [00m01s] from: 4064 ab:abb=aba,aaaa=1 finite:20;idempotents:1,aaab,aabb,abbb,bbbb to: 617 ab:ab=aa,bbbb=1 finite:20;idempotents:1,aaaa,baaa,bbaa,bbba a=b,b=a [00m01s] # 4065 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:10,pairs:2,completionMax:8us [00m01s] 4065 ab:abb=aba,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4065 ab:abb=aba,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4066 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:127,nodes:12,pairs:9,completionMax:26us [00m01s] 4066 ab:abb=aba,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4066 ab:abb=aba,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4067 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:131,nodes:12,pairs:9,completionMax:29us [00m01s] 4067 ab:abb=aba,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4067 ab:abb=aba,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4068 solved: rounds:4,rules:2,peak:4,longest:4,steps:5,word:0,work:193,nodes:12,pairs:10,completionMax:38us [00m01s] 4068 ab:abb=aba,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4068 ab:abb=aba,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4069 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:8,pairs:3,completionMax:12us [00m01s] 4069 ab:abb=aba,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4069 ab:abb=aba,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4070 solved: rounds:4,rules:2,peak:4,longest:4,steps:5,word:0,work:197,nodes:12,pairs:10,completionMax:34us [00m01s] 4070 ab:abb=aba,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4070 ab:abb=aba,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4071 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:3,completionMax:8us [00m01s] 4071 ab:abb=aba,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4071 ab:abb=aba,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4072 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:99,nodes:16,pairs:6,completionMax:25us [00m01s] 4072 ab:abb=aba,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4072 ab:abb=aba,baaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4073 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:111,nodes:20,pairs:5,completionMax:18us [00m01s] 4073 ab:abb=aba,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4073 ab:abb=aba,baab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4074 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:379,nodes:24,pairs:21,completionMax:47us [00m01s] 4074 ab:abb=aba,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4074 ab:abb=aba,baba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4075 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:383,nodes:24,pairs:21,completionMax:54us [00m01s] 4075 ab:abb=aba,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4075 ab:abb=aba,babb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4076 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:470,nodes:26,pairs:12,completionMax:61us [00m01s] 4076 ab:abb=aba,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4076 ab:abb=aba,bbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4077 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:122,nodes:18,pairs:7,completionMax:14us [00m01s] 4077 ab:abb=aba,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4077 ab:abb=aba,bbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4078 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:277,nodes:16,pairs:13,completionMax:35us [00m01s] 4078 ab:abb=aba,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4078 ab:abb=aba,bbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4079 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:39,nodes:16,pairs:1,completionMax:10us [00m01s] 4079 ab:abb=aba,bbbb=1 infinite ba - - ab:aba=abb,bbbb=1,abbba=a [00m01s] # 4080 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:12,pairs:0,completionMax:2us [00m01s] 4080 ab:baa=aab,aaaa=1 infinite ab - - ab:baa=aab,aaaa=1 [00m01s] # 4081 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:48,nodes:12,pairs:2,completionMax:7us [00m01s] 4081 ab:baa=aab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4081 ab:baa=aab,aaab=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4082 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:328,nodes:20,pairs:16,completionMax:54us [00m01s] 4082 ab:baa=aab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m01s] from: 4082 ab:baa=aab,aaba=1 infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m01s] # 4083 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:0,work:154,nodes:27,pairs:10,completionMax:26us [00m01s] 4083 ab:baa=aab,aabb=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m01s] from: 4083 ab:baa=aab,aabb=1 infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m01s] # 4084 solved: rounds:4,rules:5,peak:7,longest:5,steps:7,word:4,work:228,nodes:30,pairs:14,completionMax:41us [00m01s] 4084 ab:baa=aab,abab=1 infinite;group:a-c,b-aba,c-a ac/b bab=c frequency:3/0 abc:ac=1,ca=1,cb=abcc,aab=baa,bab=c [00m01s] # 4085 solved: rounds:1,rules:5,peak:5,longest:4,steps:4,word:0,work:114,nodes:18,pairs:6,completionMax:16us [00m01s] 4085 ab:baa=aab,abba=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m01s] from: 4085 ab:baa=aab,abba=1 infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m01s] # 4086 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:45,nodes:12,pairs:1,completionMax:7us [00m01s] 4086 ab:baa=aab,abbb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb ab - - ab:ba=ab,abbb=1 [00m01s] from: 4086 ab:baa=aab,abbb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=b [00m01s] # 4087 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:0,work:158,nodes:27,pairs:10,completionMax:31us [00m01s] 4087 ab:baa=aab,baab=1 infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m01s] from: 4087 ab:baa=aab,baab=1 infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m01s] # 4088 solved: rounds:2,rules:2,peak:4,longest:4,steps:5,word:0,work:184,nodes:12,pairs:4,completionMax:17us [00m01s] 4088 ab:baa=aab,babb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb ab - - ab:ba=ab,abbb=1 [00m01s] from: 4088 ab:baa=aab,babb=1 infinite;commutative:ab:ab3=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-bbb,b-abb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=b [00m01s] # 4089 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:24,nodes:10,pairs:0,completionMax:3us [00m01s] 4089 ab:baa=aab,bbbb=1 infinite ab - - ab:baa=aab,bbbb=1 [00m01s] # 4090 solved: rounds:6,rules:6,peak:11,longest:8,steps:10,word:0,work:3353,nodes:52,pairs:30,completionMax:191us [00m01s] 4090 ab:baa=abb,aaaa=1 finite:44;idempotents:1,abab,baba ab - - ab:baa=abb,aaaa=1,babb=aaab,bbbb=abab,babab=b,bbbab=aabbb [00m01s] # 4091 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:64,nodes:12,pairs:6,completionMax:17us [00m01s] 4091 ab:baa=abb,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4091 ab:baa=abb,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4092 solved: rounds:2,rules:2,peak:11,longest:6,steps:8,word:0,work:1401,nodes:30,pairs:28,completionMax:157us [00m01s] 4092 ab:baa=abb,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4092 ab:baa=abb,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4093 solved: rounds:2,rules:2,peak:11,longest:6,steps:5,word:0,work:1012,nodes:28,pairs:14,completionMax:99us [00m01s] 4093 ab:baa=abb,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4093 ab:baa=abb,aabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4094 solved: rounds:2,rules:2,peak:11,longest:6,steps:5,word:0,work:1016,nodes:28,pairs:14,completionMax:70us [00m01s] 4094 ab:baa=abb,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4094 ab:baa=abb,abaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4095 solved: rounds:4,rules:4,peak:9,longest:7,steps:8,word:0,work:1371,nodes:36,pairs:27,completionMax:139us [00m01s] 4095 ab:baa=abb,abab=1 finite:20;group:a-aaa,b-aba ab - - ab:baa=abb,bab=aaa,bbb=aba,aaaa=1 [00m01s] # 4096 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:301,nodes:18,pairs:19,completionMax:40us [00m01s] 4096 ab:baa=abb,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4096 ab:baa=abb,abba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4097 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:134,nodes:12,pairs:6,completionMax:15us [00m01s] 4097 ab:baa=abb,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m01s] from: 4097 ab:baa=abb,abbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m01s] # 4098 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:12,pairs:0,completionMax:3us [00m01s] 4098 ab:bab=aaa,aaaa=1 infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m01s] from: 4098 ab:bab=aaa,aaaa=1 infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m01s] # 4099 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:4,work:129,nodes:24,pairs:11,completionMax:36us [00m01s] 4099 ab:bab=aaa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4099 ab:bab=aaa,aaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4100 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:4,work:35,nodes:16,pairs:6,completionMax:18us [00m01s] 4100 ab:bab=aaa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4100 ab:bab=aaa,aaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4101 solved: rounds:4,rules:3,peak:11,longest:10,steps:10,word:8,work:4759,nodes:44,pairs:65,completionMax:233us [00m01s] 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m01s] # 4102 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:3us [00m01s] 4102 ab:bab=aaa,abab=1 infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m01s] from: 4102 ab:bab=aaa,abab=1 infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m01s] # 4103 solved: rounds:2,rules:3,peak:9,longest:11,steps:6,word:8,work:1814,nodes:44,pairs:25,completionMax:92us [00m01s] 4103 ab:bab=aaa,abba=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m01s] from: 4103 ab:bab=aaa,abba=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m01s] # 4104 solved: rounds:3,rules:2,peak:12,longest:22,steps:8,word:12,work:4494,nodes:70,pairs:66,completionMax:252us [00m01s] 4104 ab:bab=aaa,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4104 ab:bab=aaa,abbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m01s] # 4105 solved: rounds:3,rules:3,peak:5,longest:11,steps:12,word:8,work:966,nodes:44,pairs:20,completionMax:54us [00m01s] 4105 ab:bab=aaa,baab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m01s] from: 4105 ab:bab=aaa,baab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m01s] # 4106 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:4,work:133,nodes:24,pairs:11,completionMax:34us [00m01s] 4106 ab:bab=aaa,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m01s] from: 4106 ab:bab=aaa,babb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 4107 solved: rounds:6,rules:18,peak:39,longest:14,steps:43,word:22,work:128417,nodes:336,pairs:723,completionMax:4963us [00m16s] 4107 ab:bab=aaa,bbbb=1 infinite da/c/b bbb=c,caacaacaac=d frequency:3/2,10/0 abcd:ad=da,ddaa=d,daaa=a,dcdaa=dc,acdaa=ac,ddc=cdd,aac=dcaaaa,ddac=acdd,cdac=dda,dccdaa=dcc,acc=cdcaaaaaaa,acdc=dccdda,cccd=daca,ccca=dacaaaa,cdcdc=acdddddda,dccc=acda,cccc=1,b=ccc [00m16s] # 4108 solved: rounds:5,rules:15,peak:20,longest:9,steps:12,word:0,work:31726,nodes:86,pairs:81,completionMax:1117us [00m16s] 4108 ab:bab=aba,aaaa=1 finite:100;idempotents:1,bbbb;center:1,bbbb,aabaab,aabbaabb,aaabbaaabb ab - - ab:bab=aba,aaaa=1,baaba=abaab,bbbba=abbbb,bbbbb=b,baaaba=abaabb,baabbb=aaabba,bbbaab=abbaaa,baaabbb=aaabbba,baabbaa=aabbaab,bbaabba=abbaabb,bbbaaab=abbbaaa,bbaaabba=abbaaabb,baaabbaaa=aaabbaaab,baaabbaab=abaaabbaa [00m16s] # 4109 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:109,nodes:16,pairs:13,completionMax:40us [00m16s] 4109 ab:bab=aba,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 4109 ab:bab=aba,aaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 4110 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:81,nodes:16,pairs:6,completionMax:23us [00m16s] 4110 ab:bab=aba,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 4110 ab:bab=aba,aaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 4111 solved: rounds:3,rules:4,peak:15,longest:6,steps:4,word:0,work:2260,nodes:36,pairs:45,completionMax:245us [00m16s] 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,bab=aba,aaaa=1 [00m16s] # 4112 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:85,nodes:16,pairs:6,completionMax:23us [00m16s] 4112 ab:bab=aba,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 4112 ab:bab=aba,abab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 4113 solved: rounds:4,rules:4,peak:10,longest:6,steps:5,word:0,work:1769,nodes:36,pairs:34,completionMax:154us [00m16s] 4113 ab:bab=aba,abba=1 finite:12;center:1,aa;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,bab=aba,aaaa=1 [00m16s] from: 4113 ab:bab=aba,abba=1 finite:12;center:1,aa;group:a-aaa,b-aab to: 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab a=a,b=b [00m16s] # 4114 solved: rounds:3,rules:2,peak:4,longest:12,steps:2,word:8,work:112,nodes:24,pairs:10,completionMax:27us [00m16s] 4114 ab:bbb=aaa,aaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m16s] from: 4114 ab:bbb=aaa,aaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m16s] # 4115 solved: rounds:3,rules:2,peak:4,longest:12,steps:2,word:8,work:108,nodes:24,pairs:10,completionMax:33us [00m16s] 4115 ab:bbb=aaa,aaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 4115 ab:bbb=aaa,aaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=bbbbbbbbb [00m16s] # 4116 solved: rounds:5,rules:2,peak:5,longest:12,steps:8,word:8,work:603,nodes:24,pairs:17,completionMax:59us [00m16s] 4116 ab:bbb=aaa,aaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 4116 ab:bbb=aaa,aaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=bbbbbbbbb [00m16s] # 4117 solved: rounds:2,rules:2,peak:4,longest:13,steps:3,word:8,work:201,nodes:32,pairs:7,completionMax:49us [00m16s] 4117 ab:bbb=aaa,aabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 4117 ab:bbb=aaa,aabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 4118 solved: rounds:4,rules:5,peak:9,longest:27,steps:10,word:20,work:6142,nodes:102,pairs:32,completionMax:264us [00m16s] 4118 ab:bbb=aaa,abab=1 finite:96;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aba a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,aaab=baaa,bb=abaaaa,bab=aaaaaaaaaaaaaaaaaaaaaaa,baab=aabaaaaaaaaaaaaaaaaa [00m16s] # 4119 solved: rounds:4,rules:2,peak:7,longest:14,steps:7,word:8,work:1389,nodes:48,pairs:20,completionMax:124us [00m16s] 4119 ab:bbb=aaa,abba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 4119 ab:bbb=aaa,abba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 4120 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:66,nodes:10,pairs:1,completionMax:7us [00m16s] 4120 ab:aab=aaa,aba=a infinite ab - - ab:aab=aaa,aba=a,aaaa=aa [00m16s] # 4121 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:4,work:466,nodes:20,pairs:12,completionMax:35us [00m16s] 4121 ab:aab=aaa,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [00m16s] from: 4121 ab:aab=aaa,aba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [00m16s] # 4122 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:10,pairs:1,completionMax:5us [00m16s] 4122 ab:aab=aaa,abb=a infinite ab - - ab:aab=aaa,abb=a,aaaa=aa [00m16s] # 4123 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:73,nodes:10,pairs:3,completionMax:10us [00m16s] 4123 ab:aab=aaa,abb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [00m16s] from: 4123 ab:aab=aaa,abb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [00m16s] # 4124 solved: rounds:4,rules:3,peak:4,longest:5,steps:2,word:0,work:271,nodes:14,pairs:6,completionMax:40us [00m16s] 4124 ab:aab=aaa,baa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 4124 ab:aab=aaa,baa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 4125 solved: rounds:1,rules:3,peak:4,longest:3,steps:3,word:0,work:89,nodes:12,pairs:4,completionMax:12us [00m16s] 4125 ab:aab=aaa,baa=b finite:9;idempotents:1,ab,bb,aabb ba - - ab:ba=bb,bbb=b,aaa=aab [00m16s] # 4126 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:154,nodes:14,pairs:2,completionMax:10us [00m16s] 4126 ab:aab=aaa,bab=a infinite ab - - ab:aab=aaa,baa=aaa,bab=a,aaaaa=aaa [00m16s] # 4127 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:83,nodes:14,pairs:1,completionMax:7us [00m16s] 4127 ab:aab=aaa,bab=b infinite ab - - ab:aab=aaa,bab=b,aaaaa=aaa [00m16s] # 4128 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:88,nodes:14,pairs:1,completionMax:7us [00m16s] 4128 ab:aab=aaa,bba=a infinite ab - - ab:aab=aaa,bba=a,aaaaa=aaa [00m16s] # 4129 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:590,nodes:18,pairs:16,completionMax:62us [00m16s] 4129 ab:aab=aaa,bba=b finite:9;idempotents:1,ab,bb,aabb ba - - ab:ba=bb,bbb=b,aaa=aab [00m16s] from: 4129 ab:aab=aaa,bba=b finite:9;idempotents:1,ab,bb,aabb to: 4125 ab:aab=aaa,baa=b finite:9;idempotents:1,ab,bb,aabb a=a,b=b [00m16s] # 4130 solved: rounds:1,rules:2,peak:2,longest:9,steps:4,word:8,work:416,nodes:18,pairs:3,completionMax:18us [00m16s] 4130 ab:aab=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b7,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbbbbbb,bbbbbbb;smith:2 b/a - - ab:bbbbbbbbb=bbbbbbb,a=bbb [00m16s] # 4131 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:88,nodes:14,pairs:1,completionMax:13us [00m16s] 4131 ab:aab=aaa,bbb=b infinite ab - - ab:aab=aaa,bbb=b,aaaaa=aaa [00m16s] # 4132 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:6,pairs:0,completionMax:2us [00m16s] 4132 ab:aba=aaa,abb=a infinite ab - - ab:aba=aaa,abb=a [00m16s] # 4133 solved: rounds:3,rules:4,peak:5,longest:5,steps:3,word:2,work:218,nodes:12,pairs:8,completionMax:37us [00m16s] 4133 ab:aba=aaa,abb=b finite:7;idempotents:1,ab,aaaa a/b - - ab:aaaaa=aaa,ba=aaaa,aab=b,bb=ab [00m16s] # 4134 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:141,nodes:14,pairs:4,completionMax:35us [00m16s] 4134 ab:aba=aaa,baa=a infinite ab - - ab:ba=aa,aaa=a [00m16s] # 4135 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:2,work:281,nodes:18,pairs:6,completionMax:35us [00m16s] 4135 ab:aba=aaa,baa=b finite:7;idempotents:1,ba,aaaa a/b - - ab:aaaaa=aaa,baa=b,ab=aaaa,bb=ba [00m16s] # 4136 solved: rounds:2,rules:5,peak:6,longest:4,steps:3,word:0,work:334,nodes:14,pairs:9,completionMax:26us [00m16s] 4136 ab:aba=aaa,bab=a infinite ab - - ab:aab=aaa,aba=aaa,baa=aaa,bab=a,aaaa=aa [00m16s] # 4137 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:245,nodes:18,pairs:4,completionMax:47us [00m16s] 4137 ab:aba=aaa,bab=b infinite ab - - ab:aba=aaa,bab=b,aaab=ab,baaa=ba,aaaaa=aaa [00m16s] # 4138 solved: rounds:1,rules:2,peak:2,longest:9,steps:4,word:8,work:423,nodes:18,pairs:3,completionMax:34us [00m16s] 4138 ab:aba=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b7,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbbbbbb,bbbbbbb;smith:2 b/a - - ab:bbbbbbbbb=bbbbbbb,a=bbb [00m16s] from: 4138 ab:aba=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b7,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbbbbbb,bbbbbbb;smith:2 to: 4130 ab:aab=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b7,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbbbbbb,bbbbbbb;smith:2 a=bbb,b=b [00m16s] # 4139 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [00m16s] 4139 ab:aba=aaa,bbb=b infinite ab - - ab:aba=aaa,bbb=b [00m16s] # 4140 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:6,pairs:0,completionMax:3us [00m16s] 4140 ab:aba=aab,abb=a infinite ab - - ab:aba=aab,abb=a [00m16s] # 4141 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:32,nodes:6,pairs:0,completionMax:2us [00m16s] 4141 ab:aba=aab,abb=b infinite ab - - ab:aba=aab,abb=b [00m16s] # 4142 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:336,nodes:20,pairs:6,completionMax:43us [00m16s] 4142 ab:aba=aab,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m16s] from: 4142 ab:aba=aab,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4143 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:63,nodes:10,pairs:2,completionMax:6us [00m16s] 4143 ab:aba=aab,baa=b infinite ba - - ab:bab=bba,baa=b,aab=aba [00m16s] # 4144 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:99,nodes:14,pairs:4,completionMax:13us [00m16s] 4144 ab:aba=aab,bab=a infinite ab - - ab:aba=aab,baa=aab,bab=a,aabb=aa [00m16s] # 4145 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:4us [00m16s] 4145 ab:aba=aab,bab=b infinite ba - - ab:bab=b,aab=aba [00m16s] # 4146 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:74,nodes:16,pairs:1,completionMax:9us [00m16s] 4146 ab:aba=aab,bba=a infinite ab - - ab:aba=aab,bba=a,aaabb=aaa [00m16s] # 4147 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:37,nodes:12,pairs:2,completionMax:8us [00m16s] 4147 ab:aba=aab,bba=b infinite ba - - ab:bba=b,bab=b,aab=aba [00m16s] # 4148 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:6,work:44,nodes:6,pairs:0,completionMax:4us [00m16s] 4148 ab:aba=aab,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbb [00m16s] from: 4148 ab:aba=aab,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbb,b=b [00m16s] # 4149 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:152,nodes:16,pairs:1,completionMax:8us [00m16s] 4149 ab:aba=aab,bbb=b infinite ab - - ab:aba=aab,bbb=b,aabba=aaabb [00m16s] # 4150 solved: rounds:4,rules:3,peak:5,longest:6,steps:2,word:2,work:263,nodes:18,pairs:6,completionMax:35us [00m16s] 4150 ab:abb=aaa,baa=a infinite a/b - - ab:aaaaa=a,ba=aaaa,abb=aaa [00m16s] # 4151 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:178,nodes:18,pairs:3,completionMax:16us [00m16s] 4151 ab:abb=aaa,baa=b infinite ab - - ab:abb=aaa,baa=b,bbb=b,aaab=ab,aaaaa=aaa [00m16s] # 4152 solved: rounds:4,rules:3,peak:5,longest:7,steps:9,word:6,work:739,nodes:30,pairs:13,completionMax:74us [00m16s] 4152 ab:abb=aaa,bab=a infinite a/b - - ab:aaaaa=a,ab=baaa,bba=aaa [00m16s] # 4153 solved: rounds:3,rules:5,peak:5,longest:7,steps:2,word:2,work:336,nodes:24,pairs:11,completionMax:45us [00m16s] 4153 ab:abb=aaa,bab=b infinite a/b - - ab:aaaaaaa=aaa,abaaa=aaa,aaab=aaaaaa,bb=baaa,bab=b [00m16s] # 4154 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:104,nodes:16,pairs:2,completionMax:15us [00m16s] 4154 ab:abb=aaa,bba=a infinite ab - - ab:abb=aaa,bba=a,aaaa=aa,aaaba=aba [00m16s] # 4155 solved: rounds:2,rules:4,peak:6,longest:7,steps:4,word:4,work:421,nodes:24,pairs:9,completionMax:55us [00m16s] 4155 ab:abb=aaa,bba=b finite:11;idempotents:1,ba,aaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=aaaa,bb=baaa [00m16s] # 4156 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:6,work:193,nodes:18,pairs:3,completionMax:17us [00m16s] 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 b/a - - ab:bbbbbbbbb=bbbbb,a=bbb [00m16s] # 4157 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:0,work:138,nodes:14,pairs:2,completionMax:14us [00m16s] 4157 ab:abb=aaa,bbb=b infinite b/a - - ab:bbb=b,abba=aabb,aaa=abb [00m16s] # 4158 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:200,nodes:14,pairs:6,completionMax:29us [00m16s] 4158 ab:abb=aab,baa=a infinite ab - - ab:ba=aa,aaa=a,abb=aab [00m16s] # 4159 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:126,nodes:14,pairs:2,completionMax:10us [00m16s] 4159 ab:abb=aab,baa=b infinite ba - - ab:bab=bbb,baa=b,aab=abb,bbbb=bb [00m16s] # 4160 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:411,nodes:14,pairs:17,completionMax:34us [00m16s] 4160 ab:abb=aab,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 4160 ab:abb=aab,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 4161 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 4161 ab:abb=aab,bab=b infinite ba - - ab:bab=b,aab=abb [00m16s] # 4162 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:2,work:140,nodes:14,pairs:2,completionMax:11us [00m16s] 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbb [00m16s] # 4163 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m16s] 4163 ab:abb=aab,bbb=b infinite ba - - ab:bbb=b,aab=abb [00m16s] # 4164 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:201,nodes:14,pairs:6,completionMax:28us [00m16s] 4164 ab:abb=aba,baa=a infinite ab - - ab:ba=aa,aaa=a,abb=a [00m16s] # 4165 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:170,nodes:16,pairs:6,completionMax:19us [00m16s] 4165 ab:abb=aba,baa=b infinite ba - - ab:bba=bbb,baa=b,aba=abb,bbbb=bb,abbb=ab [00m16s] # 4166 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:278,nodes:16,pairs:6,completionMax:31us [00m16s] 4166 ab:abb=aba,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 4166 ab:abb=aba,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 4167 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:106,nodes:12,pairs:6,completionMax:17us [00m16s] 4167 ab:abb=aba,bab=b infinite ba - - ab:ba=bb,bbb=b [00m16s] from: 4167 ab:abb=aba,bab=b infinite to: 563 ab:aaa=a,aab=a infinite a=b,b=a [00m16s] # 4168 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:71,nodes:14,pairs:1,completionMax:6us [00m16s] 4168 ab:abb=aba,bba=a infinite ba - - ab:bba=a,aba=abb,abbbb=abb [00m16s] # 4169 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:52,nodes:10,pairs:3,completionMax:10us [00m16s] 4169 ab:abb=aba,bba=b infinite ba - - ab:ba=bb,bbb=b [00m16s] from: 4169 ab:abb=aba,bba=b infinite to: 563 ab:aaa=a,aab=a infinite a=b,b=a [00m16s] # 4170 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:4,work:155,nodes:14,pairs:2,completionMax:9us [00m16s] 4170 ab:abb=aba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbb [00m16s] from: 4170 ab:abb=aba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbb,b=b [00m16s] # 4171 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:4us [00m16s] 4171 ab:abb=aba,bbb=b infinite ba - - ab:bbb=b,aba=abb [00m16s] # 4172 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:2us [00m16s] 4172 ab:baa=aab,bab=a infinite ab - - ab:baa=aab,bab=a [00m16s] # 4173 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:1us [00m16s] 4173 ab:baa=aab,bab=b infinite ab - - ab:baa=aab,bab=b [00m16s] # 4174 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:4us [00m16s] 4174 ab:baa=aab,bba=a infinite ba - - ab:bba=a,aab=baa [00m16s] # 4175 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:41,nodes:12,pairs:1,completionMax:5us [00m16s] 4175 ab:baa=aab,bba=b infinite ba - - ab:bba=b,bab=b,aab=baa [00m16s] # 4176 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:4,work:17,nodes:6,pairs:0,completionMax:3us [00m16s] 4176 ab:baa=aab,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbb [00m16s] from: 4176 ab:baa=aab,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbb,b=b [00m16s] # 4177 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:24,nodes:8,pairs:0,completionMax:3us [00m16s] 4177 ab:baa=aab,bbb=b infinite ab - - ab:baa=aab,bbb=b [00m16s] # 4178 solved: rounds:4,rules:3,peak:8,longest:5,steps:4,word:0,work:873,nodes:16,pairs:27,completionMax:80us [00m16s] 4178 ab:baa=abb,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 4178 ab:baa=abb,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 4179 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:134,nodes:18,pairs:2,completionMax:15us [00m16s] 4179 ab:baa=abb,bab=b infinite ab - - ab:baa=abb,bab=b,bbbb=bb [00m16s] # 4180 solved: rounds:4,rules:5,peak:6,longest:6,steps:4,word:2,work:459,nodes:26,pairs:10,completionMax:48us [00m16s] 4180 ab:baa=abb,bba=a infinite b/a - - ab:abbbb=abb,bba=a,aa=babb,ababb=abb,ababa=aba [00m16s] # 4181 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:389,nodes:16,pairs:13,completionMax:39us [00m16s] 4181 ab:baa=abb,bba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 4181 ab:baa=abb,bba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 4182 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:2,work:142,nodes:14,pairs:2,completionMax:11us [00m16s] 4182 ab:baa=abb,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbb [00m16s] from: 4182 ab:baa=abb,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbb,b=b [00m16s] # 4183 solved: rounds:3,rules:4,peak:6,longest:5,steps:4,word:0,work:703,nodes:18,pairs:15,completionMax:55us [00m16s] 4183 ab:baa=abb,bbb=b infinite ab - - ab:baa=abb,bab=aab,bbb=b,aaab=ab [00m16s] # 4184 solved: rounds:2,rules:3,peak:4,longest:11,steps:12,word:8,work:463,nodes:42,pairs:7,completionMax:43us [00m16s] 4184 ab:bab=aaa,bba=a infinite a/b - - ab:aaaaaaaaaa=aa,ab=baaa,bba=a [00m16s] # 4185 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:4,work:1456,nodes:30,pairs:18,completionMax:123us [00m16s] 4185 ab:bab=aaa,bba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m16s] from: 4185 ab:bab=aaa,bba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [00m16s] # 4186 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:6,work:200,nodes:18,pairs:3,completionMax:16us [00m16s] 4186 ab:bab=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 b/a - - ab:bbbbbbbbb=bbbbb,a=bbb [00m16s] from: 4186 ab:bab=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=bbb,b=b [00m16s] # 4187 solved: rounds:3,rules:8,peak:8,longest:13,steps:6,word:4,work:2016,nodes:50,pairs:12,completionMax:144us [00m16s] 4187 ab:bab=aaa,bbb=b infinite a/b - - ab:aaaaaaaaaaaaa=aaaaa,abaaaa=baaaaaaa,aaabaaa=baaaa,aaaab=baaaa,bbaaa=aaa,bab=aaa,aaabb=aaa,bbb=b [00m16s] # 4188 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:2,work:142,nodes:14,pairs:2,completionMax:10us [00m16s] 4188 ab:bab=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbb [00m16s] from: 4188 ab:bab=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbb,b=b [00m16s] # 4189 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:5us [00m16s] 4189 ab:bab=aab,bbb=b infinite ba - - ab:bbb=b,aab=bab [00m16s] # 4190 solved: rounds:3,rules:5,peak:5,longest:4,steps:3,word:0,work:225,nodes:14,pairs:7,completionMax:23us [00m16s] 4190 ab:bab=aba,bba=a infinite ba - - ab:bba=a,aba=bab,aab=baa,aaa=abb,abbb=ab [00m16s] # 4191 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:168,nodes:10,pairs:6,completionMax:19us [00m16s] 4191 ab:bab=aba,bba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 4191 ab:bab=aba,bba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 4192 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:4,work:159,nodes:14,pairs:2,completionMax:11us [00m16s] 4192 ab:bab=aba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbb [00m16s] from: 4192 ab:bab=aba,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbb,b=b [00m16s] # 4193 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:0,work:271,nodes:22,pairs:4,completionMax:14us [00m16s] 4193 ab:bab=aba,bbb=b infinite ba - - ab:bbb=b,aba=bab,abbab=babba,babbaa=babb [00m16s] # 4194 solved: rounds:0,rules:1,peak:2,longest:3,steps:7,word:4,work:65,nodes:6,pairs:0,completionMax:5us [00m16s] 4194 ab:bab=abb,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbb [00m16s] from: 4194 ab:bab=abb,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbb,b=b [00m16s] # 4195 solved: rounds:2,rules:5,peak:5,longest:3,steps:3,word:0,work:115,nodes:15,pairs:7,completionMax:23us [00m16s] 4195 ab:bab=abb,bbb=b infinite bc/a ab=c frequency:2/0 abc:cb=bc,bbb=b,bbc=c,ab=c,ac=bcc [00m16s] # 4196 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:137,nodes:18,pairs:6,completionMax:20us [00m16s] 4196 ab:bab=baa,bba=a infinite ab - - ab:ab=aa,bba=a,aaaa=aa [00m16s] from: 4196 ab:bab=baa,bba=a infinite to: 642 ab:ab=aa,bba=a infinite a=a,b=b [00m16s] # 4197 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:8,pairs:3,completionMax:7us [00m16s] 4197 ab:bab=baa,bba=b infinite ba - - ab:ba=bb,bbb=b [00m16s] from: 4197 ab:bab=baa,bba=b infinite to: 563 ab:aaa=a,aab=a infinite a=b,b=a [00m16s] # 4198 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:2,work:1,nodes:6,pairs:0,completionMax:2us [00m16s] 4198 ab:bba=abb,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbb [00m16s] from: 4198 ab:bba=abb,bbb=a infinite;commutative:ab:a=b3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbb,b=b [00m16s] # 4199 solved: rounds:2,rules:7,peak:8,longest:3,steps:1,word:1,work:111,nodes:21,pairs:9,completionMax:25us [00m16s] 4199 ab:bba=abb,bbb=b infinite bc/a ba=c frequency:2/2 abc:bbb=b,bbc=c,cbb=c,ab=bcb,ac=bcc,ba=c,ca=cbc [00m16s] # 4200 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:10,pairs:4,completionMax:10us [00m16s] 4200 ab:aaaaa=1,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4200 ab:aaaaa=1,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4201 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:109,nodes:14,pairs:11,completionMax:31us [00m16s] 4201 ab:aaaaa=1,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4201 ab:aaaaa=1,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4202 solved: rounds:2,rules:2,peak:4,longest:10,steps:10,word:5,work:528,nodes:22,pairs:16,completionMax:49us [00m16s] 4202 ab:aaaaa=1,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4202 ab:aaaaa=1,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4203 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:147,nodes:18,pairs:14,completionMax:31us [00m16s] 4203 ab:aaaaa=1,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4203 ab:aaaaa=1,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4204 solved: rounds:4,rules:2,peak:11,longest:10,steps:9,word:10,work:2629,nodes:42,pairs:51,completionMax:202us [00m16s] 4204 ab:aaaaa=1,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4204 ab:aaaaa=1,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4205 solved: rounds:4,rules:2,peak:6,longest:10,steps:4,word:5,work:611,nodes:24,pairs:30,completionMax:85us [00m16s] 4205 ab:aaaaa=1,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4205 ab:aaaaa=1,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4206 solved: rounds:3,rules:2,peak:5,longest:22,steps:10,word:15,work:1340,nodes:52,pairs:12,completionMax:100us [00m16s] 4206 ab:aaaaa=1,aabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4206 ab:aaaaa=1,aabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4207 solved: rounds:3,rules:2,peak:9,longest:10,steps:14,word:10,work:2052,nodes:38,pairs:57,completionMax:194us [00m16s] 4207 ab:aaaaa=1,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4207 ab:aaaaa=1,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4208 solved: rounds:5,rules:2,peak:5,longest:10,steps:8,word:5,work:939,nodes:22,pairs:23,completionMax:84us [00m16s] 4208 ab:aaaaa=1,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4208 ab:aaaaa=1,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4209 solved: rounds:4,rules:2,peak:5,longest:15,steps:23,word:15,work:1047,nodes:38,pairs:21,completionMax:87us [00m16s] 4209 ab:aaaaa=1,ababb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4209 ab:aaaaa=1,ababb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4210 solved: rounds:3,rules:2,peak:9,longest:22,steps:17,word:15,work:3666,nodes:68,pairs:27,completionMax:239us [00m16s] 4210 ab:aaaaa=1,abbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4210 ab:aaaaa=1,abbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4211 solved: rounds:4,rules:2,peak:4,longest:15,steps:13,word:10,work:981,nodes:30,pairs:19,completionMax:59us [00m16s] 4211 ab:aaaaa=1,abbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4211 ab:aaaaa=1,abbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4212 solved: rounds:5,rules:2,peak:5,longest:20,steps:4,word:15,work:449,nodes:40,pairs:19,completionMax:70us [00m16s] 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbb [00m16s] # 4213 solved: rounds:5,rules:2,peak:5,longest:10,steps:11,word:5,work:722,nodes:22,pairs:13,completionMax:65us [00m16s] 4213 ab:aaaaa=1,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4213 ab:aaaaa=1,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4214 solved: rounds:5,rules:2,peak:5,longest:15,steps:12,word:10,work:824,nodes:30,pairs:17,completionMax:63us [00m16s] 4214 ab:aaaaa=1,baabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4214 ab:aaaaa=1,baabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4215 solved: rounds:5,rules:2,peak:4,longest:15,steps:8,word:10,work:553,nodes:30,pairs:14,completionMax:48us [00m16s] 4215 ab:aaaaa=1,babab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4215 ab:aaaaa=1,babab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [00m16s] # 4216 solved: rounds:7,rules:2,peak:5,longest:20,steps:10,word:15,work:1459,nodes:40,pairs:12,completionMax:94us [00m16s] 4216 ab:aaaaa=1,babbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbb [00m16s] from: 4216 ab:aaaaa=1,babbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbbbbbbbbbb,b=b [00m16s] # 4217 solved: rounds:7,rules:2,peak:5,longest:20,steps:10,word:15,work:1495,nodes:40,pairs:19,completionMax:90us [00m16s] 4217 ab:aaaaa=1,bbabb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbb [00m16s] from: 4217 ab:aaaaa=1,bbabb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbbbbbbbbbb,b=b [00m16s] # 4218 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:3us [00m16s] 4218 ab:aaaaa=1,bbbbb=1 infinite;group:a-aaaa,b-bbbb ab - - ab:aaaaa=1,bbbbb=1 [00m16s] # 4219 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:108,nodes:14,pairs:4,completionMax:15us [00m16s] 4219 ab:aaaab=1,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4219 ab:aaaab=1,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4220 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:15,nodes:12,pairs:3,completionMax:12us [00m16s] 4220 ab:aaaab=1,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4220 ab:aaaab=1,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4221 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:343,nodes:18,pairs:10,completionMax:26us [00m16s] 4221 ab:aaaab=1,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4221 ab:aaaab=1,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4222 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:14,pairs:4,completionMax:9us [00m16s] 4222 ab:aaaab=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4222 ab:aaaab=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4223 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:205,nodes:16,pairs:15,completionMax:37us [00m16s] 4223 ab:aaaab=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4223 ab:aaaab=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4224 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:5,work:57,nodes:22,pairs:5,completionMax:22us [00m16s] 4224 ab:aaaab=1,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4224 ab:aaaab=1,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4225 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:289,nodes:22,pairs:9,completionMax:24us [00m16s] 4225 ab:aaaab=1,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4225 ab:aaaab=1,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4226 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:128,nodes:16,pairs:12,completionMax:28us [00m16s] 4226 ab:aaaab=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4226 ab:aaaab=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4227 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:196,nodes:18,pairs:9,completionMax:25us [00m16s] 4227 ab:aaaab=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4227 ab:aaaab=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4228 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:5,work:60,nodes:22,pairs:3,completionMax:22us [00m16s] 4228 ab:aaaab=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4228 ab:aaaab=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4229 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:460,nodes:22,pairs:26,completionMax:61us [00m16s] 4229 ab:aaaab=1,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4229 ab:aaaab=1,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4230 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:5,work:150,nodes:26,pairs:11,completionMax:34us [00m16s] 4230 ab:aaaab=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4230 ab:aaaab=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4231 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:5,work:792,nodes:28,pairs:21,completionMax:75us [00m16s] 4231 ab:aaaab=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4231 ab:aaaab=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4232 solved: rounds:3,rules:2,peak:6,longest:15,steps:4,word:10,work:363,nodes:30,pairs:16,completionMax:50us [00m16s] 4232 ab:aaaab=1,abbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4232 ab:aaaab=1,abbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4233 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:67,nodes:18,pairs:3,completionMax:10us [00m16s] 4233 ab:aaaab=1,baaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4233 ab:aaaab=1,baaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4234 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:164,nodes:18,pairs:12,completionMax:36us [00m16s] 4234 ab:aaaab=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4234 ab:aaaab=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4235 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:496,nodes:24,pairs:18,completionMax:56us [00m16s] 4235 ab:aaaab=1,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4235 ab:aaaab=1,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4236 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:5,work:196,nodes:28,pairs:10,completionMax:44us [00m16s] 4236 ab:aaaab=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4236 ab:aaaab=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4237 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:559,nodes:24,pairs:24,completionMax:60us [00m16s] 4237 ab:aaaab=1,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4237 ab:aaaab=1,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4238 solved: rounds:3,rules:2,peak:5,longest:10,steps:10,word:5,work:552,nodes:28,pairs:12,completionMax:43us [00m16s] 4238 ab:aaaab=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4238 ab:aaaab=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4239 solved: rounds:2,rules:2,peak:6,longest:10,steps:4,word:5,work:572,nodes:32,pairs:21,completionMax:66us [00m16s] 4239 ab:aaaab=1,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4239 ab:aaaab=1,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4240 solved: rounds:4,rules:2,peak:6,longest:15,steps:6,word:10,work:384,nodes:30,pairs:15,completionMax:57us [00m16s] 4240 ab:aaaab=1,babbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4240 ab:aaaab=1,babbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4241 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:308,nodes:24,pairs:16,completionMax:41us [00m16s] 4241 ab:aaaab=1,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4241 ab:aaaab=1,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4242 solved: rounds:3,rules:2,peak:7,longest:10,steps:2,word:5,work:544,nodes:30,pairs:23,completionMax:57us [00m16s] 4242 ab:aaaab=1,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4242 ab:aaaab=1,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4243 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:5,work:613,nodes:36,pairs:27,completionMax:76us [00m16s] 4243 ab:aaaab=1,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4243 ab:aaaab=1,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4244 solved: rounds:4,rules:2,peak:8,longest:22,steps:14,word:20,work:2562,nodes:54,pairs:32,completionMax:186us [00m16s] 4244 ab:aaaab=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4244 ab:aaaab=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4245 solved: rounds:2,rules:2,peak:5,longest:10,steps:17,word:10,work:1000,nodes:26,pairs:19,completionMax:62us [00m16s] 4245 ab:aaaab=1,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4245 ab:aaaab=1,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4246 solved: rounds:4,rules:2,peak:7,longest:22,steps:14,word:20,work:2149,nodes:54,pairs:22,completionMax:155us [00m16s] 4246 ab:aaaab=1,bbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4246 ab:aaaab=1,bbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4247 solved: rounds:3,rules:2,peak:8,longest:15,steps:3,word:10,work:1062,nodes:30,pairs:32,completionMax:89us [00m16s] 4247 ab:aaaab=1,bbbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4247 ab:aaaab=1,bbbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4248 solved: rounds:4,rules:2,peak:5,longest:5,steps:5,word:0,work:298,nodes:14,pairs:13,completionMax:36us [00m16s] 4248 ab:aaaba=1,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4248 ab:aaaba=1,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4249 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:300,nodes:20,pairs:15,completionMax:35us [00m16s] 4249 ab:aaaba=1,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4249 ab:aaaba=1,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4250 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:40,nodes:14,pairs:6,completionMax:10us [00m16s] 4250 ab:aaaba=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4250 ab:aaaba=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4251 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:598,nodes:18,pairs:25,completionMax:55us [00m16s] 4251 ab:aaaba=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4251 ab:aaaba=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4252 solved: rounds:4,rules:2,peak:7,longest:11,steps:7,word:10,work:1350,nodes:44,pairs:33,completionMax:126us [00m16s] 4252 ab:aaaba=1,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4252 ab:aaaba=1,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4253 solved: rounds:2,rules:2,peak:3,longest:5,steps:6,word:0,work:145,nodes:18,pairs:6,completionMax:18us [00m16s] 4253 ab:aaaba=1,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [00m16s] from: 4253 ab:aaaba=1,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [00m16s] # 4254 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:141,nodes:22,pairs:14,completionMax:30us [00m16s] 4254 ab:aaaba=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4254 ab:aaaba=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4255 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:140,nodes:18,pairs:14,completionMax:20us [00m16s] 4255 ab:aaaba=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4255 ab:aaaba=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4256 solved: rounds:2,rules:2,peak:10,longest:10,steps:5,word:10,work:1312,nodes:32,pairs:16,completionMax:74us [00m16s] 4256 ab:aaaba=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4256 ab:aaaba=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4257 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:731,nodes:26,pairs:35,completionMax:60us [00m16s] 4257 ab:aaaba=1,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4257 ab:aaaba=1,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4258 solved: rounds:3,rules:2,peak:11,longest:10,steps:5,word:5,work:1622,nodes:36,pairs:49,completionMax:123us [00m16s] 4258 ab:aaaba=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4258 ab:aaaba=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4259 solved: rounds:5,rules:2,peak:9,longest:12,steps:8,word:10,work:3410,nodes:44,pairs:60,completionMax:244us [00m16s] 4259 ab:aaaba=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4259 ab:aaaba=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4260 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:18,pairs:7,completionMax:12us [00m16s] 4260 ab:aaaba=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4260 ab:aaaba=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4261 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:300,nodes:20,pairs:19,completionMax:28us [00m16s] 4261 ab:aaaba=1,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4261 ab:aaaba=1,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4262 solved: rounds:3,rules:2,peak:7,longest:10,steps:10,word:10,work:959,nodes:28,pairs:22,completionMax:79us [00m16s] 4262 ab:aaaba=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4262 ab:aaaba=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4263 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:457,nodes:20,pairs:22,completionMax:49us [00m16s] 4263 ab:aaaba=1,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4263 ab:aaaba=1,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4264 solved: rounds:3,rules:2,peak:5,longest:10,steps:5,word:5,work:338,nodes:24,pairs:9,completionMax:39us [00m16s] 4264 ab:aaaba=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4264 ab:aaaba=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4265 solved: rounds:2,rules:2,peak:5,longest:10,steps:7,word:10,work:514,nodes:26,pairs:19,completionMax:41us [00m16s] 4265 ab:aaaba=1,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4265 ab:aaaba=1,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4266 solved: rounds:3,rules:2,peak:8,longest:15,steps:23,word:20,work:1960,nodes:44,pairs:34,completionMax:129us [00m16s] 4266 ab:aaaba=1,babbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4266 ab:aaaba=1,babbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4267 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:477,nodes:22,pairs:18,completionMax:34us [00m16s] 4267 ab:aaaba=1,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4267 ab:aaaba=1,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4268 solved: rounds:5,rules:2,peak:6,longest:10,steps:6,word:5,work:628,nodes:22,pairs:15,completionMax:58us [00m16s] 4268 ab:aaaba=1,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4268 ab:aaaba=1,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4269 solved: rounds:3,rules:2,peak:8,longest:10,steps:8,word:10,work:2116,nodes:46,pairs:30,completionMax:115us [00m16s] 4269 ab:aaaba=1,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4269 ab:aaaba=1,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4270 solved: rounds:6,rules:2,peak:9,longest:15,steps:10,word:10,work:2146,nodes:30,pairs:48,completionMax:169us [00m16s] 4270 ab:aaaba=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4270 ab:aaaba=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4271 solved: rounds:3,rules:2,peak:10,longest:16,steps:12,word:10,work:3926,nodes:56,pairs:48,completionMax:181us [00m16s] 4271 ab:aaaba=1,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4271 ab:aaaba=1,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4272 solved: rounds:6,rules:2,peak:5,longest:15,steps:12,word:10,work:914,nodes:30,pairs:16,completionMax:82us [00m16s] 4272 ab:aaaba=1,bbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4272 ab:aaaba=1,bbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4273 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:537,nodes:20,pairs:17,completionMax:48us [00m16s] 4273 ab:aaabb=1,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4273 ab:aaabb=1,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4274 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [00m16s] 4274 ab:aaabb=1,aabab=1 infinite ab - - ab:aaabb=1,aabab=1 [00m16s] # 4275 solved: rounds:6,rules:5,peak:9,longest:7,steps:6,word:0,work:509,nodes:30,pairs:18,completionMax:69us [00m16s] 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/0 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] # 4276 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:50,nodes:14,pairs:5,completionMax:14us [00m16s] 4276 ab:aaabb=1,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4276 ab:aaabb=1,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4277 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:173,nodes:18,pairs:6,completionMax:24us [00m16s] 4277 ab:aaabb=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4277 ab:aaabb=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4278 solved: rounds:1,rules:2,peak:3,longest:5,steps:6,word:0,work:114,nodes:18,pairs:3,completionMax:19us [00m16s] 4278 ab:aaabb=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4278 ab:aaabb=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4279 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [00m16s] 4279 ab:aaabb=1,ababb=1 infinite ab - - ab:aaabb=1,ababb=1 [00m16s] # 4280 solved: rounds:3,rules:5,peak:8,longest:7,steps:6,word:0,work:517,nodes:33,pairs:16,completionMax:54us [00m16s] 4280 ab:aaabb=1,abbaa=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/1 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] from: 4280 ab:aaabb=1,abbaa=1 infinite;group:a-aac,b-baaa,c-aaa to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=a,b=b,c=c [00m16s] # 4281 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:126,nodes:20,pairs:10,completionMax:18us [00m16s] 4281 ab:aaabb=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4281 ab:aaabb=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4282 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:271,nodes:20,pairs:16,completionMax:27us [00m16s] 4282 ab:aaabb=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4282 ab:aaabb=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4283 solved: rounds:3,rules:5,peak:8,longest:5,steps:7,word:0,work:591,nodes:39,pairs:30,completionMax:56us [00m16s] 4283 ab:aaabb=1,baaab=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/1 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] from: 4283 ab:aaabb=1,baaab=1 infinite;group:a-aac,b-baaa,c-aaa to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=a,b=b,c=c [00m16s] # 4284 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:642,nodes:24,pairs:10,completionMax:28us [00m16s] 4284 ab:aaabb=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4284 ab:aaabb=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4285 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:466,nodes:20,pairs:19,completionMax:51us [00m16s] 4285 ab:aaabb=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4285 ab:aaabb=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4286 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:486,nodes:24,pairs:15,completionMax:36us [00m16s] 4286 ab:aaabb=1,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4286 ab:aaabb=1,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4287 solved: rounds:4,rules:2,peak:4,longest:5,steps:6,word:0,work:251,nodes:20,pairs:7,completionMax:24us [00m16s] 4287 ab:aaabb=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4287 ab:aaabb=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4288 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:669,nodes:24,pairs:21,completionMax:67us [00m16s] 4288 ab:aaabb=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4288 ab:aaabb=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4289 solved: rounds:1,rules:5,peak:5,longest:5,steps:6,word:0,work:172,nodes:27,pairs:8,completionMax:21us [00m16s] 4289 ab:aaabb=1,bbaaa=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/1 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] from: 4289 ab:aaabb=1,bbaaa=1 infinite;group:a-aac,b-baaa,c-aaa to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=a,b=b,c=c [00m16s] # 4290 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:291,nodes:22,pairs:17,completionMax:53us [00m16s] 4290 ab:aaabb=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4290 ab:aaabb=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4291 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:633,nodes:24,pairs:23,completionMax:69us [00m16s] 4291 ab:aaabb=1,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4291 ab:aaabb=1,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4292 solved: rounds:4,rules:2,peak:6,longest:10,steps:4,word:5,work:660,nodes:22,pairs:25,completionMax:106us [00m16s] 4292 ab:aaabb=1,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [00m16s] from: 4292 ab:aaabb=1,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [00m16s] # 4293 solved: rounds:2,rules:2,peak:7,longest:5,steps:7,word:0,work:1100,nodes:24,pairs:22,completionMax:72us [00m16s] 4293 ab:aaabb=1,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4293 ab:aaabb=1,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4294 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:783,nodes:20,pairs:34,completionMax:71us [00m16s] 4294 ab:aabaa=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4294 ab:aabaa=1,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4295 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:1133,nodes:18,pairs:30,completionMax:57us [00m16s] 4295 ab:aabaa=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4295 ab:aabaa=1,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4296 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:54,nodes:16,pairs:9,completionMax:17us [00m16s] 4296 ab:aabaa=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4296 ab:aabaa=1,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4297 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:300,nodes:18,pairs:14,completionMax:29us [00m16s] 4297 ab:aabaa=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4297 ab:aabaa=1,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4298 solved: rounds:4,rules:2,peak:8,longest:10,steps:5,word:5,work:1075,nodes:22,pairs:24,completionMax:71us [00m16s] 4298 ab:aabaa=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4298 ab:aabaa=1,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4299 solved: rounds:4,rules:2,peak:8,longest:10,steps:7,word:5,work:1268,nodes:24,pairs:31,completionMax:91us [00m16s] 4299 ab:aabaa=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4299 ab:aabaa=1,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4300 solved: rounds:5,rules:2,peak:7,longest:10,steps:8,word:5,work:1392,nodes:24,pairs:34,completionMax:105us [00m16s] 4300 ab:aabaa=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4300 ab:aabaa=1,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4301 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:99,nodes:18,pairs:13,completionMax:30us [00m16s] 4301 ab:aabaa=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4301 ab:aabaa=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4302 solved: rounds:2,rules:2,peak:5,longest:10,steps:6,word:5,work:541,nodes:26,pairs:17,completionMax:47us [00m16s] 4302 ab:aabaa=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4302 ab:aabaa=1,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4303 solved: rounds:5,rules:2,peak:4,longest:10,steps:5,word:5,work:272,nodes:20,pairs:13,completionMax:32us [00m16s] 4303 ab:aabaa=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [00m16s] from: 4303 ab:aabaa=1,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=bbbbbbbb [00m16s] # 4304 solved: rounds:6,rules:2,peak:7,longest:15,steps:10,word:10,work:1337,nodes:30,pairs:26,completionMax:109us [00m16s] 4304 ab:aabaa=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 4304 ab:aabaa=1,bbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [00m16s] # 4305 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:684,nodes:26,pairs:14,completionMax:58us [00m16s] 4305 ab:aabab=1,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4305 ab:aabab=1,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4306 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:174,nodes:18,pairs:7,completionMax:31us [00m16s] 4306 ab:aabab=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4306 ab:aabab=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4307 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:114,nodes:18,pairs:4,completionMax:22us [00m16s] 4307 ab:aabab=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4307 ab:aabab=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4308 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:69,nodes:16,pairs:7,completionMax:15us [00m16s] 4308 ab:aabab=1,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4308 ab:aabab=1,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4309 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:542,nodes:20,pairs:20,completionMax:46us [00m16s] 4309 ab:aabab=1,abbaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4309 ab:aabab=1,abbaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4310 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:194,nodes:20,pairs:12,completionMax:33us [00m16s] 4310 ab:aabab=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4310 ab:aabab=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4311 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:683,nodes:26,pairs:32,completionMax:78us [00m16s] 4311 ab:aabab=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4311 ab:aabab=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4312 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:108,nodes:18,pairs:4,completionMax:15us [00m16s] 4312 ab:aabab=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4312 ab:aabab=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4313 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:137,nodes:18,pairs:6,completionMax:17us [00m16s] 4313 ab:aabab=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4313 ab:aabab=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4314 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:663,nodes:22,pairs:31,completionMax:64us [00m16s] 4314 ab:aabab=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4314 ab:aabab=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4315 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:0,work:902,nodes:24,pairs:30,completionMax:83us [00m16s] 4315 ab:aabab=1,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4315 ab:aabab=1,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4316 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:163,nodes:18,pairs:13,completionMax:23us [00m16s] 4316 ab:aabab=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4316 ab:aabab=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4317 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:188,nodes:18,pairs:12,completionMax:29us [00m16s] 4317 ab:aabab=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4317 ab:aabab=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4318 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:496,nodes:26,pairs:18,completionMax:36us [00m16s] 4318 ab:aabab=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4318 ab:aabab=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4319 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:578,nodes:28,pairs:29,completionMax:76us [00m16s] 4319 ab:aabab=1,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4319 ab:aabab=1,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4320 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:109,nodes:18,pairs:6,completionMax:15us [00m16s] 4320 ab:aabba=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4320 ab:aabba=1,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4321 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:142,nodes:18,pairs:7,completionMax:16us [00m16s] 4321 ab:aabba=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4321 ab:aabba=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4322 solved: rounds:5,rules:5,peak:9,longest:7,steps:6,word:0,work:375,nodes:30,pairs:14,completionMax:40us [00m16s] 4322 ab:aabba=1,abbaa=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/1 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] from: 4322 ab:aabba=1,abbaa=1 infinite;group:a-aac,b-baaa,c-aaa to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=a,b=b,c=c [00m16s] # 4323 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:108,nodes:16,pairs:9,completionMax:17us [00m16s] 4323 ab:aabba=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4323 ab:aabba=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4324 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:808,nodes:26,pairs:35,completionMax:100us [00m16s] 4324 ab:aabba=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4324 ab:aabba=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4325 solved: rounds:3,rules:5,peak:9,longest:5,steps:7,word:0,work:787,nodes:42,pairs:37,completionMax:70us [00m16s] 4325 ab:aabba=1,baaab=1 infinite;group:a-aac,b-baaa,c-aaa bac bb=c frequency:2/1 abc:bb=c,cb=bc,ca=ac,aaab=baaa,aaac=1 [00m16s] from: 4325 ab:aabba=1,baaab=1 infinite;group:a-aac,b-baaa,c-aaa to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=a,b=b,c=c [00m16s] # 4326 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:558,nodes:22,pairs:24,completionMax:71us [00m16s] 4326 ab:aabba=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4326 ab:aabba=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4327 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:101,nodes:18,pairs:9,completionMax:15us [00m16s] 4327 ab:aabba=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4327 ab:aabba=1,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4328 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:293,nodes:20,pairs:12,completionMax:29us [00m16s] 4328 ab:aabba=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4328 ab:aabba=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4329 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:708,nodes:24,pairs:43,completionMax:85us [00m16s] 4329 ab:aabba=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4329 ab:aabba=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4330 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:155,nodes:18,pairs:12,completionMax:19us [00m16s] 4330 ab:aabba=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4330 ab:aabba=1,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4331 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:143,nodes:14,pairs:7,completionMax:15us [00m16s] 4331 ab:abaab=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4331 ab:abaab=1,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4332 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:776,nodes:20,pairs:36,completionMax:66us [00m16s] 4332 ab:abaab=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4332 ab:abaab=1,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4333 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:988,nodes:30,pairs:45,completionMax:73us [00m16s] 4333 ab:abaab=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4333 ab:abaab=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4334 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:488,nodes:20,pairs:16,completionMax:41us [00m16s] 4334 ab:abaab=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4334 ab:abaab=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4335 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:129,nodes:18,pairs:7,completionMax:12us [00m16s] 4335 ab:abaab=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4335 ab:abaab=1,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4336 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:257,nodes:18,pairs:12,completionMax:29us [00m16s] 4336 ab:abaab=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4336 ab:abaab=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4337 solved: rounds:3,rules:2,peak:7,longest:5,steps:6,word:0,work:1166,nodes:26,pairs:30,completionMax:68us [00m16s] 4337 ab:abaab=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4337 ab:abaab=1,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4338 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:463,nodes:18,pairs:21,completionMax:44us [00m16s] 4338 ab:ababa=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4338 ab:ababa=1,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4339 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:174,nodes:18,pairs:10,completionMax:16us [00m16s] 4339 ab:ababa=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [00m16s] from: 4339 ab:ababa=1,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [00m16s] # 4340 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:119,nodes:18,pairs:13,completionMax:18us [00m16s] 4340 ab:ababa=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4340 ab:ababa=1,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4341 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:675,nodes:24,pairs:32,completionMax:55us [00m16s] 4341 ab:abbba=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [00m16s] from: 4341 ab:abbba=1,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [00m16s] # 4342 solved: rounds:1,rules:1,peak:2,longest:4,steps:2,word:0,work:40,nodes:8,pairs:5,completionMax:18us [00m16s] 4342 ab:aaaa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m16s] from: 4342 ab:aaaa=a,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m16s] # 4343 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:2,completionMax:16us [00m16s] 4343 ab:aaaa=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4343 ab:aaaa=a,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4344 solved: rounds:1,rules:2,peak:5,longest:5,steps:3,word:1,work:127,nodes:12,pairs:5,completionMax:57us [00m16s] 4344 ab:aaaa=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4344 ab:aaaa=a,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4345 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:50,nodes:12,pairs:5,completionMax:18us [00m16s] 4345 ab:aaaa=a,aaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4345 ab:aaaa=a,aaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4346 solved: rounds:1,rules:2,peak:6,longest:5,steps:3,word:1,work:241,nodes:16,pairs:6,completionMax:33us [00m16s] 4346 ab:aaaa=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4346 ab:aaaa=a,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4347 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:154,nodes:16,pairs:14,completionMax:35us [00m16s] 4347 ab:aaaa=a,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4347 ab:aaaa=a,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4348 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:159,nodes:16,pairs:14,completionMax:27us [00m16s] 4348 ab:aaaa=a,aabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4348 ab:aaaa=a,aabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4349 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:2,work:154,nodes:26,pairs:9,completionMax:31us [00m16s] 4349 ab:aaaa=a,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4349 ab:aaaa=a,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4350 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:142,nodes:14,pairs:9,completionMax:20us [00m16s] 4350 ab:aaaa=a,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4350 ab:aaaa=a,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4351 solved: rounds:2,rules:3,peak:4,longest:5,steps:6,word:0,work:160,nodes:16,pairs:9,completionMax:26us [00m16s] 4351 ab:aaaa=a,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4351 ab:aaaa=a,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4352 solved: rounds:5,rules:2,peak:7,longest:9,steps:8,word:4,work:1102,nodes:26,pairs:34,completionMax:84us [00m16s] 4352 ab:aaaa=a,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4352 ab:aaaa=a,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4353 solved: rounds:3,rules:2,peak:5,longest:9,steps:5,word:4,work:316,nodes:32,pairs:10,completionMax:48us [00m16s] 4353 ab:aaaa=a,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4353 ab:aaaa=a,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4354 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:4,work:179,nodes:22,pairs:8,completionMax:39us [00m16s] 4354 ab:aaaa=a,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4354 ab:aaaa=a,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4355 solved: rounds:3,rules:2,peak:4,longest:12,steps:2,word:7,work:120,nodes:32,pairs:6,completionMax:28us [00m16s] 4355 ab:aaaa=a,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4355 ab:aaaa=a,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4356 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:140,nodes:16,pairs:16,completionMax:32us [00m16s] 4356 ab:aaaa=a,baaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4356 ab:aaaa=a,baaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4357 solved: rounds:3,rules:2,peak:8,longest:11,steps:5,word:6,work:1250,nodes:42,pairs:15,completionMax:93us [00m16s] 4357 ab:aaaa=a,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4357 ab:aaaa=a,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4358 solved: rounds:5,rules:2,peak:5,longest:9,steps:18,word:4,work:701,nodes:24,pairs:10,completionMax:41us [00m16s] 4358 ab:aaaa=a,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4358 ab:aaaa=a,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4359 solved: rounds:6,rules:2,peak:5,longest:12,steps:5,word:7,work:527,nodes:24,pairs:11,completionMax:43us [00m16s] 4359 ab:aaaa=a,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4359 ab:aaaa=a,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4360 solved: rounds:6,rules:2,peak:5,longest:12,steps:5,word:7,work:555,nodes:24,pairs:18,completionMax:49us [00m16s] 4360 ab:aaaa=a,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4360 ab:aaaa=a,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4361 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:16,pairs:0,completionMax:3us [00m16s] 4361 ab:aaaa=a,bbbbb=1 infinite ab - - ab:aaaa=a,bbbbb=1 [00m16s] # 4362 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:2us [00m16s] 4362 ab:aaaa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [00m16s] from: 4362 ab:aaaa=b,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [00m16s] # 4363 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:5,nodes:16,pairs:0,completionMax:5us [00m16s] 4363 ab:aaaa=b,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [00m16s] from: 4363 ab:aaaa=b,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [00m16s] # 4364 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:4,nodes:16,pairs:0,completionMax:4us [00m16s] 4364 ab:aaaa=b,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [00m16s] from: 4364 ab:aaaa=b,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [00m16s] # 4365 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:12,nodes:22,pairs:0,completionMax:7us [00m16s] 4365 ab:aaaa=b,aaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4365 ab:aaaa=b,aaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4366 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:3,nodes:16,pairs:0,completionMax:4us [00m16s] 4366 ab:aaaa=b,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [00m16s] from: 4366 ab:aaaa=b,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [00m16s] # 4367 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:11,nodes:22,pairs:0,completionMax:6us [00m16s] 4367 ab:aaaa=b,aabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4367 ab:aaaa=b,aabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4368 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:10,nodes:22,pairs:0,completionMax:5us [00m16s] 4368 ab:aaaa=b,aabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4368 ab:aaaa=b,aabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4369 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:21,nodes:28,pairs:0,completionMax:9us [00m16s] 4369 ab:aaaa=b,aabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4369 ab:aaaa=b,aabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4370 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:10,nodes:22,pairs:0,completionMax:6us [00m16s] 4370 ab:aaaa=b,abaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4370 ab:aaaa=b,abaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4371 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:9,nodes:22,pairs:0,completionMax:7us [00m16s] 4371 ab:aaaa=b,ababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4371 ab:aaaa=b,ababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4372 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:20,nodes:28,pairs:0,completionMax:8us [00m16s] 4372 ab:aaaa=b,ababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4372 ab:aaaa=b,ababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4373 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:19,nodes:28,pairs:0,completionMax:7us [00m16s] 4373 ab:aaaa=b,abbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4373 ab:aaaa=b,abbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4374 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:18,nodes:28,pairs:0,completionMax:11us [00m16s] 4374 ab:aaaa=b,abbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4374 ab:aaaa=b,abbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4375 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:32,nodes:34,pairs:0,completionMax:10us [00m16s] 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaa [00m16s] # 4376 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:9,nodes:22,pairs:0,completionMax:7us [00m16s] 4376 ab:aaaa=b,baaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaa [00m16s] from: 4376 ab:aaaa=b,baaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b3;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4377 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:19,nodes:28,pairs:0,completionMax:11us [00m16s] 4377 ab:aaaa=b,baabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4377 ab:aaaa=b,baabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4378 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:18,nodes:28,pairs:0,completionMax:9us [00m16s] 4378 ab:aaaa=b,babab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4378 ab:aaaa=b,babab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a4;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbb,b=bbbbbbbbbbbb [00m16s] # 4379 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:31,nodes:34,pairs:0,completionMax:14us [00m16s] 4379 ab:aaaa=b,babbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4379 ab:aaaa=b,babbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbbbb,b=b [00m16s] # 4380 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:30,nodes:34,pairs:0,completionMax:13us [00m16s] 4380 ab:aaaa=b,bbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4380 ab:aaaa=b,bbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbbbb,b=b [00m16s] # 4381 solved: rounds:0,rules:2,peak:2,longest:20,steps:5,word:15,work:45,nodes:40,pairs:0,completionMax:16us [00m16s] 4381 ab:aaaa=b,bbbbb=1 finite:20;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:a20=1,b=a4;saturation:a:a20=1;cancellative;smith:20;group:a-aaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaa=1,b=aaaa [00m16s] from: 4381 ab:aaaa=b,bbbbb=1 finite:20;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:a20=1,b=a4;saturation:a:a20=1;cancellative;smith:20;group:a-aaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=b,b=bbbb [00m16s] # 4382 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:2,work:20,nodes:10,pairs:3,completionMax:9us [00m16s] 4382 ab:aaab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m16s] from: 4382 ab:aaab=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m16s] # 4383 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:3,completionMax:6us [00m16s] 4383 ab:aaab=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4383 ab:aaab=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4384 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:3,completionMax:5us [00m16s] 4384 ab:aaab=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4384 ab:aaab=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4385 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:8,pairs:3,completionMax:9us [00m16s] 4385 ab:aaab=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4385 ab:aaab=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4386 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:148,nodes:16,pairs:20,completionMax:61us [00m16s] 4386 ab:aaab=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4386 ab:aaab=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4387 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:10,nodes:12,pairs:5,completionMax:10us [00m16s] 4387 ab:aaab=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4387 ab:aaab=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4388 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:145,nodes:16,pairs:18,completionMax:65us [00m16s] 4388 ab:aaab=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4388 ab:aaab=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4389 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:2,work:41,nodes:14,pairs:6,completionMax:23us [00m16s] 4389 ab:aaab=a,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4389 ab:aaab=a,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4390 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:316,nodes:16,pairs:26,completionMax:47us [00m16s] 4390 ab:aaab=a,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4390 ab:aaab=a,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4391 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:135,nodes:14,pairs:13,completionMax:25us [00m16s] 4391 ab:aaab=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4391 ab:aaab=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4392 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:210,nodes:16,pairs:20,completionMax:55us [00m16s] 4392 ab:aaab=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4392 ab:aaab=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4393 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:33,nodes:16,pairs:6,completionMax:19us [00m16s] 4393 ab:aaab=a,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4393 ab:aaab=a,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4394 solved: rounds:2,rules:2,peak:10,longest:5,steps:5,word:0,work:437,nodes:22,pairs:31,completionMax:103us [00m16s] 4394 ab:aaab=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4394 ab:aaab=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4395 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:2,work:293,nodes:16,pairs:18,completionMax:49us [00m16s] 4395 ab:aaab=a,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4395 ab:aaab=a,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4396 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:2,work:828,nodes:22,pairs:24,completionMax:96us [00m16s] 4396 ab:aaab=a,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4396 ab:aaab=a,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4397 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:4,work:30,nodes:14,pairs:8,completionMax:19us [00m16s] 4397 ab:aaab=a,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4397 ab:aaab=a,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4398 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:393,nodes:18,pairs:23,completionMax:46us [00m16s] 4398 ab:aaab=a,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4398 ab:aaab=a,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4399 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:83,nodes:10,pairs:13,completionMax:20us [00m16s] 4399 ab:aaab=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4399 ab:aaab=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4400 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:230,nodes:16,pairs:22,completionMax:52us [00m16s] 4400 ab:aaab=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4400 ab:aaab=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4401 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:117,nodes:18,pairs:13,completionMax:40us [00m16s] 4401 ab:aaab=a,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4401 ab:aaab=a,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4402 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:191,nodes:16,pairs:19,completionMax:38us [00m16s] 4402 ab:aaab=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4402 ab:aaab=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4403 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:1,work:128,nodes:16,pairs:13,completionMax:27us [00m16s] 4403 ab:aaab=a,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4403 ab:aaab=a,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4404 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:163,nodes:16,pairs:15,completionMax:34us [00m16s] 4404 ab:aaab=a,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4404 ab:aaab=a,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4405 solved: rounds:4,rules:2,peak:8,longest:7,steps:3,word:4,work:513,nodes:24,pairs:24,completionMax:74us [00m16s] 4405 ab:aaab=a,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4405 ab:aaab=a,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4406 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:279,nodes:16,pairs:20,completionMax:46us [00m16s] 4406 ab:aaab=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4406 ab:aaab=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4407 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:1,work:874,nodes:30,pairs:60,completionMax:189us [00m16s] 4407 ab:aaab=a,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4407 ab:aaab=a,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4408 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:1,work:854,nodes:32,pairs:35,completionMax:123us [00m16s] 4408 ab:aaab=a,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4408 ab:aaab=a,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4409 solved: rounds:3,rules:2,peak:11,longest:11,steps:6,word:8,work:2180,nodes:38,pairs:33,completionMax:202us [00m16s] 4409 ab:aaab=a,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4409 ab:aaab=a,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4410 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:523,nodes:24,pairs:43,completionMax:128us [00m16s] 4410 ab:aaab=a,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4410 ab:aaab=a,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4411 solved: rounds:3,rules:2,peak:8,longest:17,steps:8,word:12,work:2547,nodes:68,pairs:46,completionMax:171us [00m16s] 4411 ab:aaab=a,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4411 ab:aaab=a,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4412 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:4,work:675,nodes:30,pairs:33,completionMax:117us [00m16s] 4412 ab:aaab=a,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4412 ab:aaab=a,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4413 solved: rounds:5,rules:3,peak:4,longest:11,steps:4,word:7,work:169,nodes:30,pairs:5,completionMax:41us [00m16s] 4413 ab:aaab=a,bbbbb=1 finite:55;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaa,bbbbaaaaaaaa a/b - - ab:aaaaaaaaaaa=a,ab=aaaaaaaaa,bbbbb=1 [00m16s] # 4414 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:33,nodes:10,pairs:3,completionMax:13us [00m16s] 4414 ab:aaab=b,aaaaa=1 infinite ab - - ab:ab=b,aaaaa=1 [00m16s] from: 4414 ab:aaab=b,aaaaa=1 infinite to: 1908 ab:aab=b,aaaaa=1 infinite a=a,b=b [00m16s] # 4415 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:2,completionMax:7us [00m16s] 4415 ab:aaab=b,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4415 ab:aaab=b,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4416 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:10,pairs:4,completionMax:15us [00m16s] 4416 ab:aaab=b,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4416 ab:aaab=b,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4417 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:6us [00m16s] 4417 ab:aaab=b,aaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4417 ab:aaab=b,aaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4418 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:116,nodes:16,pairs:16,completionMax:21us [00m16s] 4418 ab:aaab=b,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4418 ab:aaab=b,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4419 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:118,nodes:16,pairs:10,completionMax:18us [00m16s] 4419 ab:aaab=b,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4419 ab:aaab=b,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4420 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:83,nodes:16,pairs:10,completionMax:28us [00m16s] 4420 ab:aaab=b,aabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4420 ab:aaab=b,aabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4421 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:65,nodes:18,pairs:6,completionMax:19us [00m16s] 4421 ab:aaab=b,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4421 ab:aaab=b,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4422 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:397,nodes:20,pairs:35,completionMax:86us [00m16s] 4422 ab:aaab=b,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4422 ab:aaab=b,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4423 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:242,nodes:20,pairs:15,completionMax:51us [00m16s] 4423 ab:aaab=b,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4423 ab:aaab=b,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4424 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:183,nodes:18,pairs:9,completionMax:28us [00m16s] 4424 ab:aaab=b,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4424 ab:aaab=b,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4425 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1071,nodes:26,pairs:33,completionMax:112us [00m16s] 4425 ab:aaab=b,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4425 ab:aaab=b,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4426 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:281,nodes:20,pairs:19,completionMax:45us [00m16s] 4426 ab:aaab=b,abbaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4426 ab:aaab=b,abbaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4427 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:220,nodes:22,pairs:10,completionMax:35us [00m16s] 4427 ab:aaab=b,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4427 ab:aaab=b,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4428 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:159,nodes:20,pairs:10,completionMax:37us [00m16s] 4428 ab:aaab=b,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4428 ab:aaab=b,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4429 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:89,nodes:32,pairs:5,completionMax:24us [00m16s] 4429 ab:aaab=b,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4429 ab:aaab=b,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4430 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:1,work:200,nodes:16,pairs:11,completionMax:31us [00m16s] 4430 ab:aaab=b,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4430 ab:aaab=b,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4431 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:6us [00m16s] 4431 ab:aaab=b,baaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4431 ab:aaab=b,baaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4432 solved: rounds:3,rules:3,peak:5,longest:5,steps:5,word:0,work:344,nodes:22,pairs:18,completionMax:45us [00m16s] 4432 ab:aaab=b,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4432 ab:aaab=b,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4433 solved: rounds:4,rules:2,peak:7,longest:10,steps:5,word:4,work:881,nodes:38,pairs:26,completionMax:93us [00m16s] 4433 ab:aaab=b,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4433 ab:aaab=b,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4434 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:501,nodes:20,pairs:25,completionMax:70us [00m16s] 4434 ab:aaab=b,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4434 ab:aaab=b,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4435 solved: rounds:2,rules:2,peak:4,longest:9,steps:6,word:4,work:220,nodes:22,pairs:6,completionMax:25us [00m16s] 4435 ab:aaab=b,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4435 ab:aaab=b,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4436 solved: rounds:3,rules:2,peak:7,longest:10,steps:15,word:6,work:711,nodes:24,pairs:16,completionMax:89us [00m16s] 4436 ab:aaab=b,babba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4436 ab:aaab=b,babba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4437 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:493,nodes:24,pairs:11,completionMax:54us [00m16s] 4437 ab:aaab=b,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4437 ab:aaab=b,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4438 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:172,nodes:16,pairs:10,completionMax:32us [00m16s] 4438 ab:aaab=b,bbaaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [00m16s] from: 4438 ab:aaab=b,bbaaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [00m16s] # 4439 solved: rounds:4,rules:2,peak:10,longest:11,steps:3,word:4,work:1530,nodes:42,pairs:41,completionMax:149us [00m16s] 4439 ab:aaab=b,bbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4439 ab:aaab=b,bbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4440 solved: rounds:5,rules:2,peak:9,longest:9,steps:4,word:4,work:2432,nodes:40,pairs:68,completionMax:263us [00m16s] 4440 ab:aaab=b,bbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4440 ab:aaab=b,bbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4441 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:530,nodes:24,pairs:18,completionMax:59us [00m16s] 4441 ab:aaab=b,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4441 ab:aaab=b,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4442 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:4,work:235,nodes:26,pairs:14,completionMax:57us [00m16s] 4442 ab:aaab=b,bbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4442 ab:aaab=b,bbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4443 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:7,work:559,nodes:24,pairs:19,completionMax:62us [00m16s] 4443 ab:aaab=b,bbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4443 ab:aaab=b,bbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4444 solved: rounds:3,rules:2,peak:6,longest:13,steps:2,word:7,work:357,nodes:30,pairs:17,completionMax:73us [00m16s] 4444 ab:aaab=b,bbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4444 ab:aaab=b,bbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4445 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:16,pairs:1,completionMax:10us [00m16s] 4445 ab:aaab=b,bbbbb=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [00m16s] from: 4445 ab:aaab=b,bbbbb=1 infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [00m16s] # 4446 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:69,nodes:14,pairs:6,completionMax:23us [00m16s] 4446 ab:aaba=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [00m16s] from: 4446 ab:aaba=a,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [00m16s] # 4447 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:86,nodes:12,pairs:10,completionMax:24us [00m16s] 4447 ab:aaba=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4447 ab:aaba=a,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4448 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:3,completionMax:6us [00m16s] 4448 ab:aaba=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4448 ab:aaba=a,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4449 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:19,nodes:12,pairs:4,completionMax:10us [00m16s] 4449 ab:aaba=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4449 ab:aaba=a,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4450 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:8,pairs:3,completionMax:7us [00m16s] 4450 ab:aaba=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4450 ab:aaba=a,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4451 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:3,completionMax:6us [00m16s] 4451 ab:aaba=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4451 ab:aaba=a,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4452 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:163,nodes:14,pairs:16,completionMax:46us [00m16s] 4452 ab:aaba=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4452 ab:aaba=a,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4453 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:27,nodes:10,pairs:5,completionMax:18us [00m16s] 4453 ab:aaba=a,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4453 ab:aaba=a,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4454 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:179,nodes:16,pairs:20,completionMax:45us [00m16s] 4454 ab:aaba=a,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4454 ab:aaba=a,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4455 solved: rounds:1,rules:2,peak:5,longest:5,steps:4,word:0,work:78,nodes:14,pairs:4,completionMax:20us [00m16s] 4455 ab:aaba=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4455 ab:aaba=a,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4456 solved: rounds:1,rules:2,peak:6,longest:5,steps:4,word:0,work:117,nodes:16,pairs:5,completionMax:21us [00m16s] 4456 ab:aaba=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4456 ab:aaba=a,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4457 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:55,nodes:14,pairs:4,completionMax:21us [00m16s] 4457 ab:aaba=a,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4457 ab:aaba=a,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4458 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:354,nodes:20,pairs:25,completionMax:67us [00m16s] 4458 ab:aaba=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4458 ab:aaba=a,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4459 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:1,work:107,nodes:14,pairs:11,completionMax:28us [00m16s] 4459 ab:aaba=a,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4459 ab:aaba=a,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4460 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:1,work:303,nodes:16,pairs:24,completionMax:65us [00m16s] 4460 ab:aaba=a,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4460 ab:aaba=a,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4461 solved: rounds:5,rules:2,peak:5,longest:7,steps:4,word:4,work:142,nodes:16,pairs:13,completionMax:45us [00m16s] 4461 ab:aaba=a,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4461 ab:aaba=a,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4462 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:0,work:240,nodes:20,pairs:18,completionMax:46us [00m16s] 4462 ab:aaba=a,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4462 ab:aaba=a,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4463 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:119,nodes:18,pairs:11,completionMax:32us [00m16s] 4463 ab:aaba=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4463 ab:aaba=a,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4464 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:3,completionMax:8us [00m16s] 4464 ab:aaba=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4464 ab:aaba=a,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4465 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:230,nodes:16,pairs:12,completionMax:43us [00m16s] 4465 ab:aaba=a,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4465 ab:aaba=a,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4466 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:153,nodes:18,pairs:21,completionMax:39us [00m16s] 4466 ab:aaba=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4466 ab:aaba=a,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4467 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:2,work:252,nodes:20,pairs:17,completionMax:47us [00m16s] 4467 ab:aaba=a,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4467 ab:aaba=a,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4468 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:2,work:299,nodes:20,pairs:21,completionMax:48us [00m16s] 4468 ab:aaba=a,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4468 ab:aaba=a,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4469 solved: rounds:4,rules:2,peak:8,longest:10,steps:20,word:8,work:1390,nodes:24,pairs:30,completionMax:133us [00m16s] 4469 ab:aaba=a,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4469 ab:aaba=a,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4470 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:180,nodes:18,pairs:17,completionMax:40us [00m16s] 4470 ab:aaba=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4470 ab:aaba=a,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4471 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:183,nodes:20,pairs:19,completionMax:55us [00m16s] 4471 ab:aaba=a,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4471 ab:aaba=a,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4472 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:67,nodes:18,pairs:11,completionMax:26us [00m16s] 4472 ab:aaba=a,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4472 ab:aaba=a,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4473 solved: rounds:5,rules:2,peak:6,longest:10,steps:19,word:8,work:1380,nodes:26,pairs:25,completionMax:111us [00m16s] 4473 ab:aaba=a,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4473 ab:aaba=a,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4474 solved: rounds:5,rules:2,peak:5,longest:5,steps:4,word:1,work:161,nodes:18,pairs:12,completionMax:33us [00m16s] 4474 ab:aaba=a,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4474 ab:aaba=a,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4475 solved: rounds:7,rules:2,peak:4,longest:7,steps:4,word:4,work:287,nodes:18,pairs:14,completionMax:51us [00m16s] 4475 ab:aaba=a,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4475 ab:aaba=a,bbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4476 solved: rounds:6,rules:2,peak:5,longest:7,steps:5,word:4,work:349,nodes:18,pairs:12,completionMax:47us [00m16s] 4476 ab:aaba=a,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4476 ab:aaba=a,bbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4477 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:16,pairs:0,completionMax:3us [00m16s] 4477 ab:aaba=a,bbbbb=1 infinite ab - - ab:aaba=a,bbbbb=1 [00m16s] # 4478 solved: rounds:2,rules:2,peak:4,longest:6,steps:6,word:4,work:387,nodes:20,pairs:19,completionMax:55us [00m16s] 4478 ab:aaba=b,aaaaa=1 infinite a/b - - ab:aaaaa=1,ab=baa [00m16s] # 4479 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:1,work:222,nodes:18,pairs:20,completionMax:52us [00m16s] 4479 ab:aaba=b,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4479 ab:aaba=b,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4480 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:25,nodes:8,pairs:3,completionMax:10us [00m16s] 4480 ab:aaba=b,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4480 ab:aaba=b,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4481 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:0,work:1034,nodes:32,pairs:63,completionMax:172us [00m16s] 4481 ab:aaba=b,aaabb=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4481 ab:aaba=b,aaabb=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4482 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:2,work:59,nodes:10,pairs:3,completionMax:14us [00m16s] 4482 ab:aaba=b,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4482 ab:aaba=b,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4483 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:160,nodes:16,pairs:8,completionMax:27us [00m16s] 4483 ab:aaba=b,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4483 ab:aaba=b,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4484 solved: rounds:3,rules:3,peak:13,longest:5,steps:4,word:0,work:1444,nodes:32,pairs:42,completionMax:147us [00m16s] 4484 ab:aaba=b,aabba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4484 ab:aaba=b,aabba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4485 solved: rounds:3,rules:2,peak:8,longest:14,steps:3,word:4,work:1392,nodes:44,pairs:32,completionMax:149us [00m16s] 4485 ab:aaba=b,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4485 ab:aaba=b,aabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4486 solved: rounds:2,rules:2,peak:7,longest:5,steps:11,word:2,work:526,nodes:18,pairs:30,completionMax:80us [00m16s] 4486 ab:aaba=b,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4486 ab:aaba=b,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4487 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:365,nodes:24,pairs:25,completionMax:62us [00m16s] 4487 ab:aaba=b,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4487 ab:aaba=b,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4488 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:136,nodes:16,pairs:12,completionMax:32us [00m16s] 4488 ab:aaba=b,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4488 ab:aaba=b,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4489 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:89,nodes:18,pairs:8,completionMax:23us [00m16s] 4489 ab:aaba=b,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4489 ab:aaba=b,ababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4490 solved: rounds:3,rules:3,peak:18,longest:5,steps:4,word:0,work:2637,nodes:34,pairs:71,completionMax:241us [00m16s] 4490 ab:aaba=b,abbaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4490 ab:aaba=b,abbaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4491 solved: rounds:3,rules:2,peak:7,longest:13,steps:8,word:4,work:1272,nodes:42,pairs:19,completionMax:125us [00m16s] 4491 ab:aaba=b,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4491 ab:aaba=b,abbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4492 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:4,work:794,nodes:40,pairs:22,completionMax:80us [00m16s] 4492 ab:aaba=b,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4492 ab:aaba=b,abbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4493 solved: rounds:3,rules:2,peak:5,longest:13,steps:3,word:14,work:344,nodes:40,pairs:13,completionMax:89us [00m16s] 4493 ab:aaba=b,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4493 ab:aaba=b,abbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4494 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:1,work:524,nodes:20,pairs:28,completionMax:134us [00m16s] 4494 ab:aaba=b,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [00m16s] from: 4494 ab:aaba=b,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [00m16s] # 4495 solved: rounds:2,rules:3,peak:8,longest:5,steps:3,word:0,work:438,nodes:16,pairs:26,completionMax:75us [00m16s] 4495 ab:aaba=b,baaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4495 ab:aaba=b,baaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4496 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:161,nodes:16,pairs:8,completionMax:35us [00m16s] 4496 ab:aaba=b,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4496 ab:aaba=b,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4497 solved: rounds:3,rules:2,peak:10,longest:15,steps:6,word:13,work:2773,nodes:54,pairs:21,completionMax:206us [00m16s] 4497 ab:aaba=b,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4497 ab:aaba=b,baabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4498 solved: rounds:2,rules:3,peak:12,longest:5,steps:3,word:0,work:1017,nodes:24,pairs:25,completionMax:138us [00m16s] 4498 ab:aaba=b,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4498 ab:aaba=b,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4499 solved: rounds:3,rules:2,peak:5,longest:13,steps:12,word:4,work:724,nodes:38,pairs:16,completionMax:65us [00m16s] 4499 ab:aaba=b,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4499 ab:aaba=b,babab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4500 solved: rounds:2,rules:2,peak:5,longest:9,steps:6,word:2,work:456,nodes:22,pairs:18,completionMax:50us [00m16s] 4500 ab:aaba=b,babba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4500 ab:aaba=b,babba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4501 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:14,work:792,nodes:30,pairs:19,completionMax:89us [00m16s] 4501 ab:aaba=b,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4501 ab:aaba=b,babbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4502 solved: rounds:3,rules:3,peak:9,longest:6,steps:5,word:0,work:842,nodes:26,pairs:18,completionMax:73us [00m16s] 4502 ab:aaba=b,bbaaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [00m16s] from: 4502 ab:aaba=b,bbaaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [00m16s] # 4503 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:100,nodes:18,pairs:8,completionMax:22us [00m16s] 4503 ab:aaba=b,bbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4503 ab:aaba=b,bbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4504 solved: rounds:4,rules:2,peak:6,longest:9,steps:6,word:4,work:858,nodes:22,pairs:17,completionMax:95us [00m16s] 4504 ab:aaba=b,bbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4504 ab:aaba=b,bbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4505 solved: rounds:4,rules:2,peak:7,longest:12,steps:5,word:7,work:827,nodes:24,pairs:22,completionMax:67us [00m16s] 4505 ab:aaba=b,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4505 ab:aaba=b,bbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4506 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:4,work:431,nodes:30,pairs:19,completionMax:56us [00m16s] 4506 ab:aaba=b,bbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [00m16s] from: 4506 ab:aaba=b,bbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [00m16s] # 4507 solved: rounds:4,rules:2,peak:11,longest:20,steps:48,word:21,work:11377,nodes:72,pairs:67,completionMax:522us [00m16s] 4507 ab:aaba=b,bbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4507 ab:aaba=b,bbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4508 solved: rounds:3,rules:2,peak:7,longest:13,steps:2,word:7,work:618,nodes:34,pairs:19,completionMax:72us [00m16s] 4508 ab:aaba=b,bbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4508 ab:aaba=b,bbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [00m16s] # 4509 solved: rounds:6,rules:3,peak:27,longest:39,steps:39,word:48,work:160876,nodes:272,pairs:171,completionMax:4930us [00m16s] 4509 ab:aaba=b,bbbbb=1 finite:165;center:1,aaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbb a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaa,bbbbb=1 [00m16s] # 4510 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:275,nodes:20,pairs:20,completionMax:55us [00m16s] 4510 ab:aabb=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4510 ab:aabb=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbb,b=b [00m16s] # 4511 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:2,work:16,nodes:14,pairs:3,completionMax:8us [00m16s] 4511 ab:aabb=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4511 ab:aabb=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4512 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:4,work:378,nodes:16,pairs:23,completionMax:47us [00m16s] 4512 ab:aabb=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4512 ab:aabb=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4513 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:20,nodes:10,pairs:2,completionMax:7us [00m16s] 4513 ab:aabb=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4513 ab:aabb=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4514 solved: rounds:3,rules:2,peak:6,longest:7,steps:7,word:2,work:460,nodes:22,pairs:15,completionMax:43us [00m16s] 4514 ab:aabb=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4514 ab:aabb=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4515 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [00m16s] 4515 ab:aabb=a,aabab=1 infinite ab - - ab:aabb=a,aabab=1 [00m16s] # 4516 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:19,nodes:10,pairs:2,completionMax:6us [00m16s] 4516 ab:aabb=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4516 ab:aabb=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4517 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:2,completionMax:3us [00m16s] 4517 ab:aabb=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4517 ab:aabb=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4518 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:4,work:348,nodes:30,pairs:11,completionMax:47us [00m16s] 4518 ab:aabb=a,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4518 ab:aabb=a,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4519 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:97,nodes:14,pairs:12,completionMax:25us [00m16s] 4519 ab:aabb=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4519 ab:aabb=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4520 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:127,nodes:16,pairs:7,completionMax:22us [00m16s] 4520 ab:aabb=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4520 ab:aabb=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4521 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:0us [00m16s] 4521 ab:aabb=a,ababb=1 infinite ab - - ab:aabb=a,ababb=1 [00m16s] # 4522 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:3,work:208,nodes:24,pairs:9,completionMax:34us [00m16s] 4522 ab:aabb=a,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4522 ab:aabb=a,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4523 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:104,nodes:18,pairs:8,completionMax:20us [00m16s] 4523 ab:aabb=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4523 ab:aabb=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4524 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:151,nodes:20,pairs:26,completionMax:36us [00m16s] 4524 ab:aabb=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4524 ab:aabb=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4525 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:7,nodes:14,pairs:4,completionMax:10us [00m16s] 4525 ab:aabb=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4525 ab:aabb=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4526 solved: rounds:3,rules:2,peak:6,longest:8,steps:2,word:2,work:249,nodes:30,pairs:19,completionMax:52us [00m16s] 4526 ab:aabb=a,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4526 ab:aabb=a,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4527 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:2,work:349,nodes:20,pairs:19,completionMax:57us [00m16s] 4527 ab:aabb=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4527 ab:aabb=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4528 solved: rounds:2,rules:2,peak:7,longest:7,steps:21,word:3,work:1399,nodes:26,pairs:17,completionMax:85us [00m16s] 4528 ab:aabb=a,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4528 ab:aabb=a,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4529 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:31us [00m16s] 4529 ab:aabb=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4529 ab:aabb=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4530 solved: rounds:3,rules:2,peak:10,longest:5,steps:3,word:1,work:525,nodes:20,pairs:36,completionMax:87us [00m16s] 4530 ab:aabb=a,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4530 ab:aabb=a,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4531 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:200,nodes:16,pairs:10,completionMax:23us [00m16s] 4531 ab:aabb=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4531 ab:aabb=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4532 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:226,nodes:20,pairs:17,completionMax:43us [00m16s] 4532 ab:aabb=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4532 ab:aabb=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4533 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:234,nodes:18,pairs:14,completionMax:30us [00m16s] 4533 ab:aabb=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4533 ab:aabb=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4534 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:2,work:545,nodes:24,pairs:26,completionMax:66us [00m16s] 4534 ab:aabb=a,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4534 ab:aabb=a,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4535 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:409,nodes:24,pairs:20,completionMax:56us [00m16s] 4535 ab:aabb=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4535 ab:aabb=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4536 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:516,nodes:22,pairs:26,completionMax:63us [00m16s] 4536 ab:aabb=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4536 ab:aabb=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4537 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:472,nodes:24,pairs:26,completionMax:65us [00m16s] 4537 ab:aabb=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4537 ab:aabb=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4538 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:327,nodes:20,pairs:25,completionMax:58us [00m16s] 4538 ab:aabb=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4538 ab:aabb=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4539 solved: rounds:3,rules:2,peak:14,longest:5,steps:4,word:0,work:1293,nodes:28,pairs:82,completionMax:282us [00m16s] 4539 ab:aabb=a,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4539 ab:aabb=a,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4540 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:129,nodes:18,pairs:13,completionMax:32us [00m16s] 4540 ab:aabb=a,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4540 ab:aabb=a,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4541 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:1,work:55,nodes:20,pairs:4,completionMax:33us [00m16s] 4541 ab:aabb=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa a/b - - ab:aaaaaa=a,ab=aaa,bbbbb=1 [00m16s] # 4542 solved: rounds:7,rules:2,peak:5,longest:10,steps:6,word:7,work:680,nodes:20,pairs:22,completionMax:80us [00m16s] 4542 ab:abab=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4542 ab:abab=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbb,b=b [00m16s] # 4543 solved: rounds:3,rules:2,peak:3,longest:7,steps:1,word:2,work:27,nodes:14,pairs:5,completionMax:21us [00m16s] 4543 ab:abab=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4543 ab:abab=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4544 solved: rounds:1,rules:2,peak:4,longest:7,steps:3,word:4,work:82,nodes:20,pairs:4,completionMax:18us [00m16s] 4544 ab:abab=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4544 ab:abab=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4545 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:3,work:372,nodes:26,pairs:16,completionMax:47us [00m16s] 4545 ab:abab=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4545 ab:abab=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4546 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:4,work:454,nodes:20,pairs:21,completionMax:63us [00m16s] 4546 ab:abab=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4546 ab:abab=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4547 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:82,nodes:14,pairs:11,completionMax:26us [00m16s] 4547 ab:abab=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4547 ab:abab=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4548 solved: rounds:2,rules:2,peak:8,longest:6,steps:14,word:3,work:765,nodes:20,pairs:21,completionMax:73us [00m16s] 4548 ab:abab=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4548 ab:abab=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4549 solved: rounds:5,rules:2,peak:3,longest:5,steps:2,word:0,work:77,nodes:14,pairs:8,completionMax:18us [00m16s] 4549 ab:abab=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4549 ab:abab=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4550 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:4,work:214,nodes:26,pairs:10,completionMax:33us [00m16s] 4550 ab:abab=a,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4550 ab:abab=a,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4551 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:3,work:385,nodes:20,pairs:16,completionMax:56us [00m16s] 4551 ab:abab=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4551 ab:abab=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4552 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:81,nodes:14,pairs:11,completionMax:27us [00m16s] 4552 ab:abab=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4552 ab:abab=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4553 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:3,completionMax:5us [00m16s] 4553 ab:abab=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4553 ab:abab=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4554 solved: rounds:2,rules:2,peak:11,longest:6,steps:15,word:3,work:1244,nodes:24,pairs:22,completionMax:113us [00m16s] 4554 ab:abab=a,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4554 ab:abab=a,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4555 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:132,nodes:14,pairs:8,completionMax:29us [00m16s] 4555 ab:abab=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4555 ab:abab=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4556 solved: rounds:2,rules:2,peak:8,longest:5,steps:6,word:0,work:404,nodes:20,pairs:28,completionMax:70us [00m16s] 4556 ab:abab=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4556 ab:abab=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4557 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:122,nodes:12,pairs:9,completionMax:27us [00m16s] 4557 ab:abab=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4557 ab:abab=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4558 solved: rounds:3,rules:2,peak:6,longest:8,steps:1,word:2,work:279,nodes:26,pairs:20,completionMax:68us [00m16s] 4558 ab:abab=a,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4558 ab:abab=a,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4559 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:3,work:691,nodes:24,pairs:20,completionMax:84us [00m16s] 4559 ab:abab=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4559 ab:abab=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4560 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:2,work:277,nodes:18,pairs:26,completionMax:60us [00m16s] 4560 ab:abab=a,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4560 ab:abab=a,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4561 solved: rounds:2,rules:2,peak:11,longest:5,steps:6,word:0,work:656,nodes:22,pairs:16,completionMax:66us [00m16s] 4561 ab:abab=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4561 ab:abab=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4562 solved: rounds:3,rules:2,peak:7,longest:6,steps:22,word:2,work:588,nodes:20,pairs:19,completionMax:57us [00m16s] 4562 ab:abab=a,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4562 ab:abab=a,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4563 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:10,pairs:5,completionMax:12us [00m16s] 4563 ab:abab=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4563 ab:abab=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4564 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:0,work:185,nodes:20,pairs:24,completionMax:45us [00m16s] 4564 ab:abab=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4564 ab:abab=a,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4565 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:200,nodes:16,pairs:17,completionMax:33us [00m16s] 4565 ab:abab=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4565 ab:abab=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4566 solved: rounds:2,rules:2,peak:9,longest:6,steps:13,word:3,work:897,nodes:28,pairs:17,completionMax:82us [00m16s] 4566 ab:abab=a,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4566 ab:abab=a,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4567 solved: rounds:2,rules:2,peak:11,longest:5,steps:6,word:0,work:479,nodes:20,pairs:24,completionMax:77us [00m16s] 4567 ab:abab=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4567 ab:abab=a,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4568 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:243,nodes:20,pairs:25,completionMax:54us [00m16s] 4568 ab:abab=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4568 ab:abab=a,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4569 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:503,nodes:22,pairs:20,completionMax:69us [00m16s] 4569 ab:abab=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4569 ab:abab=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4570 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:883,nodes:26,pairs:59,completionMax:117us [00m16s] 4570 ab:abab=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4570 ab:abab=a,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4571 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:385,nodes:18,pairs:23,completionMax:73us [00m16s] 4571 ab:abab=a,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4571 ab:abab=a,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4572 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:536,nodes:24,pairs:41,completionMax:80us [00m16s] 4572 ab:abab=a,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4572 ab:abab=a,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4573 solved: rounds:3,rules:3,peak:6,longest:6,steps:6,word:2,work:258,nodes:24,pairs:7,completionMax:48us [00m16s] 4573 ab:abab=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa a/b - - ab:aaaaaa=a,ab=aaa,bbbbb=1 [00m16s] from: 4573 ab:abab=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa to: 4541 ab:aabb=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa a=a,b=b [00m16s] # 4574 solved: rounds:6,rules:2,peak:5,longest:10,steps:6,word:7,work:460,nodes:20,pairs:13,completionMax:50us [00m16s] 4574 ab:abba=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbbbb [00m16s] from: 4574 ab:abba=a,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbb,b=b [00m16s] # 4575 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:2,work:162,nodes:20,pairs:11,completionMax:37us [00m16s] 4575 ab:abba=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4575 ab:abba=a,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4576 solved: rounds:3,rules:2,peak:8,longest:10,steps:12,word:4,work:790,nodes:32,pairs:22,completionMax:92us [00m16s] 4576 ab:abba=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4576 ab:abba=a,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4577 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:77,nodes:14,pairs:9,completionMax:18us [00m16s] 4577 ab:abba=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4577 ab:abba=a,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4578 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:4,work:414,nodes:22,pairs:16,completionMax:55us [00m16s] 4578 ab:abba=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [00m16s] from: 4578 ab:abba=a,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [00m16s] # 4579 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:2,work:189,nodes:14,pairs:13,completionMax:26us [00m16s] 4579 ab:abba=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4579 ab:abba=a,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4580 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:45,nodes:12,pairs:8,completionMax:23us [00m16s] 4580 ab:abba=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4580 ab:abba=a,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4581 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:19,nodes:14,pairs:4,completionMax:14us [00m16s] 4581 ab:abba=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4581 ab:abba=a,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4582 solved: rounds:3,rules:2,peak:6,longest:5,steps:9,word:3,work:381,nodes:16,pairs:25,completionMax:60us [00m16s] 4582 ab:abba=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4582 ab:abba=a,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4583 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:153,nodes:14,pairs:8,completionMax:21us [00m16s] 4583 ab:abba=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4583 ab:abba=a,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4584 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:12,pairs:7,completionMax:14us [00m16s] 4584 ab:abba=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4584 ab:abba=a,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4585 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:3,completionMax:7us [00m16s] 4585 ab:abba=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4585 ab:abba=a,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4586 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:88,nodes:14,pairs:15,completionMax:30us [00m16s] 4586 ab:abba=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4586 ab:abba=a,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4587 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:10,pairs:4,completionMax:11us [00m16s] 4587 ab:abba=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4587 ab:abba=a,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4588 solved: rounds:5,rules:2,peak:5,longest:5,steps:4,word:1,work:330,nodes:20,pairs:18,completionMax:50us [00m16s] 4588 ab:abba=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [00m16s] from: 4588 ab:abba=a,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [00m16s] # 4589 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:283,nodes:20,pairs:27,completionMax:45us [00m16s] 4589 ab:abba=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4589 ab:abba=a,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4590 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:169,nodes:20,pairs:22,completionMax:32us [00m16s] 4590 ab:abba=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4590 ab:abba=a,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4591 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:280,nodes:16,pairs:27,completionMax:53us [00m16s] 4591 ab:abba=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4591 ab:abba=a,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4592 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:167,nodes:16,pairs:19,completionMax:23us [00m16s] 4592 ab:abba=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4592 ab:abba=a,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4593 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:16,pairs:0,completionMax:5us [00m16s] 4593 ab:abba=a,bbbbb=1 infinite ab - - ab:abba=a,bbbbb=1 [00m16s] # 4594 solved: rounds:7,rules:11,peak:25,longest:37,steps:71,word:52,work:436829,nodes:398,pairs:151,completionMax:9114us [00m16s] 4594 ab:abba=b,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbba=abbb,abba=b,baabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=baa,aaab=bbaba,ababa=baabbbbbbbbbbbbbbbbbbbbbbbbbbbb,baaa=ababb,baabaa=abaababbbbb,bbabaaba=aabaabbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaaaa=1 [00m16s] # 4595 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:301,nodes:20,pairs:23,completionMax:56us [00m16s] 4595 ab:abba=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4595 ab:abba=b,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4596 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:674,nodes:28,pairs:39,completionMax:96us [00m16s] 4596 ab:abba=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4596 ab:abba=b,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4597 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:241,nodes:22,pairs:14,completionMax:28us [00m16s] 4597 ab:abba=b,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4597 ab:abba=b,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4598 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:0,work:1083,nodes:26,pairs:47,completionMax:93us [00m16s] 4598 ab:abba=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4598 ab:abba=b,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4599 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:1235,nodes:26,pairs:42,completionMax:99us [00m16s] 4599 ab:abba=b,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4599 ab:abba=b,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4600 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:39,nodes:8,pairs:5,completionMax:11us [00m16s] 4600 ab:abba=b,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4600 ab:abba=b,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4601 solved: rounds:3,rules:3,peak:9,longest:6,steps:10,word:8,work:1218,nodes:34,pairs:15,completionMax:66us [00m16s] 4601 ab:abba=b,aabbb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [00m16s] from: 4601 ab:abba=b,aabbb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [00m16s] # 4602 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:715,nodes:26,pairs:25,completionMax:64us [00m16s] 4602 ab:abba=b,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4602 ab:abba=b,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4603 solved: rounds:4,rules:2,peak:6,longest:5,steps:7,word:0,work:371,nodes:20,pairs:18,completionMax:43us [00m16s] 4603 ab:abba=b,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4603 ab:abba=b,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4604 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:206,nodes:18,pairs:18,completionMax:34us [00m16s] 4604 ab:abba=b,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4604 ab:abba=b,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4605 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:1,work:20,nodes:10,pairs:4,completionMax:12us [00m16s] 4605 ab:abba=b,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4605 ab:abba=b,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4606 solved: rounds:3,rules:3,peak:6,longest:6,steps:6,word:6,work:1034,nodes:24,pairs:24,completionMax:89us [00m16s] 4606 ab:abba=b,abbba=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [00m16s] from: 4606 ab:abba=b,abbba=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [00m16s] # 4607 solved: rounds:6,rules:2,peak:11,longest:7,steps:4,word:4,work:1438,nodes:26,pairs:69,completionMax:287us [00m16s] 4607 ab:abba=b,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4607 ab:abba=b,abbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4608 solved: rounds:2,rules:2,peak:6,longest:5,steps:8,word:0,work:497,nodes:16,pairs:17,completionMax:52us [00m16s] 4608 ab:abba=b,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4608 ab:abba=b,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4609 solved: rounds:3,rules:3,peak:12,longest:6,steps:10,word:5,work:1802,nodes:28,pairs:60,completionMax:156us [00m16s] 4609 ab:abba=b,baabb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [00m16s] from: 4609 ab:abba=b,baabb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [00m16s] # 4610 solved: rounds:3,rules:2,peak:6,longest:8,steps:16,word:4,work:493,nodes:24,pairs:22,completionMax:69us [00m16s] 4610 ab:abba=b,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [00m16s] from: 4610 ab:abba=b,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [00m16s] # 4611 solved: rounds:3,rules:2,peak:13,longest:7,steps:7,word:4,work:1687,nodes:30,pairs:79,completionMax:283us [00m16s] 4611 ab:abba=b,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4611 ab:abba=b,babbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4612 solved: rounds:4,rules:2,peak:6,longest:7,steps:5,word:4,work:507,nodes:16,pairs:33,completionMax:84us [00m16s] 4612 ab:abba=b,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [00m16s] from: 4612 ab:abba=b,bbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [00m16s] # 4613 solved: rounds:6,rules:2,peak:6,longest:10,steps:7,word:7,work:819,nodes:20,pairs:23,completionMax:80us [00m16s] 4613 ab:abba=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4613 ab:abba=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [00m16s] # 4614 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:2,completionMax:8us [00m16s] 4614 ab:aaaa=a,aaab=a infinite ab - - ab:ab=aa,aaaa=a [00m16s] from: 4614 ab:aaaa=a,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m16s] # 4615 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:3us [00m16s] 4615 ab:aaaa=a,aaab=b infinite ab - - ab:aaaa=a,aaab=b [00m16s] # 4616 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:81,nodes:12,pairs:1,completionMax:14us [00m16s] 4616 ab:aaaa=a,aaba=a infinite ab - - ab:aba=aaa,aaaa=a [00m16s] # 4617 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:355,nodes:18,pairs:18,completionMax:49us [00m16s] 4617 ab:aaaa=a,aaba=b infinite;commutative:ab:a4=a,a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaa=a,aaab=b [00m16s] # 4618 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:12,pairs:1,completionMax:7us [00m16s] 4618 ab:aaaa=a,aabb=a infinite ab - - ab:abb=aaa,aaaa=a [00m16s] # 4619 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:99,nodes:14,pairs:6,completionMax:20us [00m16s] 4619 ab:aaaa=a,aabb=b finite:16;idempotents:1,aaa,baa,bba,bbb,bbbaaa ba - - ab:ab=bb,bbbb=b,aaaa=a [00m16s] # 4620 solved: rounds:3,rules:3,peak:4,longest:4,steps:4,word:0,work:142,nodes:12,pairs:6,completionMax:20us [00m16s] 4620 ab:aaaa=a,abab=a infinite ab - - ab:aba=aab,abb=aaa,aaaa=a [00m16s] # 4621 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:98,nodes:14,pairs:7,completionMax:33us [00m16s] 4621 ab:aaaa=a,abab=b finite:16;idempotents:1,aaa,baa,bba,bbb,bbbaaa ba - - ab:ab=bb,bbbb=b,aaaa=a [00m16s] from: 4621 ab:aaaa=a,abab=b finite:16;idempotents:1,aaa,baa,bba,bbb,bbbaaa to: 4619 ab:aaaa=a,aabb=b finite:16;idempotents:1,aaa,baa,bba,bbb,bbbaaa a=a,b=b [00m16s] # 4622 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:4us [00m16s] 4622 ab:aaaa=a,abba=a infinite ab - - ab:aaaa=a,abba=a [00m16s] # 4623 solved: rounds:5,rules:7,peak:8,longest:6,steps:11,word:0,work:2240,nodes:32,pairs:15,completionMax:106us [00m16s] 4623 ab:aaaa=a,abba=b finite:28;idempotents:1,aaa,ababab;center:1,aaa,bbb,ababab ab - - ab:baa=abb,bba=aab,aaaa=a,aaab=b,babb=aaba,bbbbb=ababa,bababa=ababab [00m16s] # 4624 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [00m16s] 4624 ab:aaaa=a,abbb=a infinite ab - - ab:aaaa=a,abbb=a [00m16s] # 4625 solved: rounds:4,rules:3,peak:4,longest:7,steps:2,word:3,work:87,nodes:20,pairs:6,completionMax:22us [00m16s] 4625 ab:aaaa=a,abbb=b finite:28;idempotents:1,aaa,bba,bbbbaa,bbbbbb,bbbbbbaaa b/a - - ab:bbbbbbb=b,ab=bbbbb,aaaa=a [00m16s] # 4626 solved: rounds:3,rules:8,peak:10,longest:6,steps:5,word:2,work:330,nodes:33,pairs:17,completionMax:58us [00m16s] 4626 ab:aaaa=a,baab=a infinite ac/b ab=c frequency:2/1 abc:cac=aa,aaaa=a,aaac=c,caaa=c,ba=aaca,bc=aacc,ab=c,cb=caac [00m16s] # 4627 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 4627 ab:aaaa=a,baab=b infinite ab - - ab:aaaa=a,baab=b [00m16s] # 4628 solved: rounds:4,rules:3,peak:8,longest:98,steps:41,word:240,work:15401,nodes:220,pairs:25,completionMax:356us [00m16s] 4628 ab:aaaa=a,babb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbb,aaaa=a [00m16s] # 4629 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 4629 ab:aaaa=a,babb=b infinite ab - - ab:aaaa=a,babb=b [00m16s] # 4630 solved: rounds:1,rules:2,peak:2,longest:16,steps:4,word:12,work:362,nodes:32,pairs:4,completionMax:28us [00m16s] 4630 ab:aaaa=a,bbbb=a finite:16;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b4,a=b4;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbb,bbbbb;smith:12 b/a - - ab:bbbbbbbbbbbbbbbb=bbbb,a=bbbb [00m16s] # 4631 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:4us [00m16s] 4631 ab:aaaa=a,bbbb=b infinite ab - - ab:aaaa=a,bbbb=b [00m16s] # 4632 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:3,work:18,nodes:14,pairs:0,completionMax:4us [00m16s] 4632 ab:aaaa=b,aaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaaa [00m16s] from: 4632 ab:aaaa=b,aaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaa [00m16s] # 4633 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:3,work:75,nodes:14,pairs:0,completionMax:6us [00m16s] 4633 ab:aaaa=b,aaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaaa [00m16s] from: 4633 ab:aaaa=b,aaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [00m16s] # 4634 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:3,work:17,nodes:14,pairs:0,completionMax:3us [00m16s] 4634 ab:aaaa=b,aaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaaa [00m16s] from: 4634 ab:aaaa=b,aaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a4;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaa [00m16s] # 4635 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:3,work:74,nodes:14,pairs:0,completionMax:4us [00m16s] 4635 ab:aaaa=b,aaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaaa [00m16s] from: 4635 ab:aaaa=b,aaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [00m16s] # 4636 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:30,nodes:20,pairs:0,completionMax:7us [00m16s] 4636 ab:aaaa=b,aabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaaa [00m16s] from: 4636 ab:aaaa=b,aabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [00m16s] # 4637 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:91,nodes:20,pairs:0,completionMax:6us [00m16s] 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaaa [00m16s] # 4638 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:29,nodes:20,pairs:0,completionMax:5us [00m16s] 4638 ab:aaaa=b,abab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaaa [00m16s] from: 4638 ab:aaaa=b,abab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [00m16s] # 4639 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:90,nodes:20,pairs:0,completionMax:6us [00m16s] 4639 ab:aaaa=b,abab=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaaa [00m16s] from: 4639 ab:aaaa=b,abab=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaaa [00m16s] # 4640 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:28,nodes:20,pairs:0,completionMax:7us [00m16s] 4640 ab:aaaa=b,abba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaaa [00m16s] from: 4640 ab:aaaa=b,abba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [00m16s] # 4641 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:89,nodes:20,pairs:0,completionMax:7us [00m16s] 4641 ab:aaaa=b,abba=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaaa [00m16s] from: 4641 ab:aaaa=b,abba=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaaa [00m16s] # 4642 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:44,nodes:26,pairs:0,completionMax:10us [00m16s] 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aaaa [00m16s] # 4643 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:123,nodes:26,pairs:0,completionMax:8us [00m16s] 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaaa [00m16s] # 4644 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:28,nodes:20,pairs:0,completionMax:8us [00m16s] 4644 ab:aaaa=b,baab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaaa [00m16s] from: 4644 ab:aaaa=b,baab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [00m16s] # 4645 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:6,work:89,nodes:20,pairs:0,completionMax:7us [00m16s] 4645 ab:aaaa=b,baab=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaaa [00m16s] from: 4645 ab:aaaa=b,baab=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaaa [00m16s] # 4646 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:43,nodes:26,pairs:0,completionMax:10us [00m16s] 4646 ab:aaaa=b,babb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aaaa [00m16s] from: 4646 ab:aaaa=b,babb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aaaa [00m16s] # 4647 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:9,work:122,nodes:26,pairs:0,completionMax:11us [00m16s] 4647 ab:aaaa=b,babb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaaa [00m16s] from: 4647 ab:aaaa=b,babb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaaa [00m16s] # 4648 solved: rounds:0,rules:2,peak:2,longest:16,steps:4,word:12,work:60,nodes:32,pairs:0,completionMax:12us [00m16s] 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a/b - - ab:aaaaaaaaaaaaaaaa=a,b=aaaa [00m16s] # 4649 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [00m16s] 4649 ab:aaab=a,aaba=a infinite ab - - ab:aaab=a,aaba=a [00m16s] # 4650 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:111,nodes:16,pairs:12,completionMax:23us [00m16s] 4650 ab:aaab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4650 ab:aaab=a,aaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4651 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:10,pairs:2,completionMax:11us [00m16s] 4651 ab:aaab=a,aabb=a infinite ab - - ab:ab=aa,aaaa=a [00m16s] from: 4651 ab:aaab=a,aabb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m16s] # 4652 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:2us [00m16s] 4652 ab:aaab=a,aabb=b infinite ab - - ab:aaab=a,aabb=b [00m16s] # 4653 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:1,work:89,nodes:18,pairs:7,completionMax:18us [00m16s] 4653 ab:aaab=a,abaa=a infinite ac/b ab=c frequency:2/0 abc:ca=ac,aac=a,acc=c,ab=c,cb=ccc [00m16s] # 4654 solved: rounds:2,rules:2,peak:10,longest:4,steps:3,word:0,work:673,nodes:22,pairs:27,completionMax:132us [00m16s] 4654 ab:aaab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4654 ab:aaab=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4655 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:126,nodes:12,pairs:8,completionMax:25us [00m16s] 4655 ab:aaab=a,abab=a infinite ab - - ab:ab=aa,aaaa=a [00m16s] from: 4655 ab:aaab=a,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m16s] # 4656 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:16,pairs:4,completionMax:15us [00m16s] 4656 ab:aaab=a,abab=b infinite ab - - ab:bab=abb,aaab=a,aabb=b [00m16s] # 4657 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:324,nodes:14,pairs:8,completionMax:50us [00m16s] 4657 ab:aaab=a,abba=a infinite ab - - ab:ab=aa,aaaa=a [00m16s] from: 4657 ab:aaab=a,abba=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m16s] # 4658 solved: rounds:3,rules:3,peak:8,longest:4,steps:3,word:0,work:530,nodes:24,pairs:12,completionMax:59us [00m16s] 4658 ab:aaab=a,abba=b infinite;commutative:ab:a3b=a,a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a,aabb=b [00m16s] # 4659 solved: rounds:3,rules:2,peak:3,longest:7,steps:1,word:3,work:33,nodes:14,pairs:3,completionMax:15us [00m16s] 4659 ab:aaab=a,abbb=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa [00m16s] # 4660 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:12,pairs:4,completionMax:12us [00m16s] 4660 ab:aaab=a,abbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4660 ab:aaab=a,abbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4661 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:47,nodes:14,pairs:2,completionMax:10us [00m16s] 4661 ab:aaab=a,baaa=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [00m16s] from: 4661 ab:aaab=a,baaa=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4662 solved: rounds:2,rules:4,peak:7,longest:4,steps:2,word:0,work:213,nodes:14,pairs:8,completionMax:37us [00m16s] 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] # 4663 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:148,nodes:14,pairs:8,completionMax:29us [00m16s] 4663 ab:aaab=a,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m16s] from: 4663 ab:aaab=a,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m16s] # 4664 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:2us [00m16s] 4664 ab:aaab=a,baab=b infinite ab - - ab:aaab=a,baab=b [00m16s] # 4665 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:450,nodes:18,pairs:14,completionMax:56us [00m16s] 4665 ab:aaab=a,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m16s] from: 4665 ab:aaab=a,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m16s] # 4666 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:0,work:190,nodes:22,pairs:5,completionMax:28us [00m16s] 4666 ab:aaab=a,baba=b infinite ab - - ab:aba=aab,bba=bab,aaab=a,baab=b [00m16s] # 4667 solved: rounds:3,rules:3,peak:8,longest:7,steps:3,word:3,work:683,nodes:28,pairs:15,completionMax:72us [00m16s] 4667 ab:aaab=a,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa [00m16s] # 4668 solved: rounds:4,rules:4,peak:4,longest:4,steps:2,word:0,work:86,nodes:16,pairs:5,completionMax:16us [00m16s] 4668 ab:aaab=a,babb=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4668 ab:aaab=a,babb=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4669 solved: rounds:3,rules:3,peak:6,longest:4,steps:2,word:0,work:415,nodes:18,pairs:15,completionMax:60us [00m16s] 4669 ab:aaab=a,bbaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaa=a [00m16s] from: 4669 ab:aaab=a,bbaa=a infinite to: 2200 ab:ab=aa,bbaa=a infinite a=a,b=b [00m16s] # 4670 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:233,nodes:22,pairs:9,completionMax:28us [00m16s] 4670 ab:aaab=a,bbaa=b infinite ab - - ab:aba=aab,bba=bab,aaab=a,baab=b [00m16s] from: 4670 ab:aaab=a,bbaa=b infinite to: 4666 ab:aaab=a,baba=b infinite a=a,b=b [00m16s] # 4671 solved: rounds:3,rules:3,peak:8,longest:7,steps:2,word:3,work:520,nodes:24,pairs:20,completionMax:64us [00m16s] 4671 ab:aaab=a,bbab=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa,bba=aaa [00m16s] # 4672 solved: rounds:4,rules:4,peak:8,longest:4,steps:4,word:0,work:624,nodes:18,pairs:20,completionMax:52us [00m16s] 4672 ab:aaab=a,bbab=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4672 ab:aaab=a,bbab=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4673 solved: rounds:5,rules:3,peak:7,longest:8,steps:4,word:6,work:616,nodes:26,pairs:12,completionMax:90us [00m16s] 4673 ab:aaab=a,bbba=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa,bbba=a [00m16s] # 4674 solved: rounds:3,rules:4,peak:10,longest:4,steps:3,word:0,work:856,nodes:22,pairs:28,completionMax:116us [00m16s] 4674 ab:aaab=a,bbba=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4674 ab:aaab=a,bbba=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4675 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:117,nodes:12,pairs:6,completionMax:18us [00m16s] 4675 ab:aaab=b,aaba=a finite:7;idempotents:1,aaa,aab ab - - ab:ba=aa,bb=ab,aaaa=a,aaab=b [00m16s] # 4676 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:54,nodes:12,pairs:3,completionMax:16us [00m16s] 4676 ab:aaab=b,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [00m16s] from: 4676 ab:aaab=b,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [00m16s] # 4677 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:3,work:67,nodes:16,pairs:7,completionMax:33us [00m16s] 4677 ab:aaab=b,aabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4677 ab:aaab=b,aabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4678 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:2,completionMax:13us [00m16s] 4678 ab:aaab=b,aabb=b infinite ba - - ab:ab=bb,bbbb=b [00m16s] # 4679 solved: rounds:3,rules:4,peak:8,longest:4,steps:2,word:0,work:521,nodes:16,pairs:17,completionMax:76us [00m16s] 4679 ab:aaab=b,abaa=a finite:7;idempotents:1,aaa,aab ab - - ab:ba=aa,bb=ab,aaaa=a,aaab=b [00m16s] from: 4679 ab:aaab=b,abaa=a finite:7;idempotents:1,aaa,aab to: 4675 ab:aaab=b,aaba=a finite:7;idempotents:1,aaa,aab a=a,b=b [00m16s] # 4680 solved: rounds:3,rules:2,peak:5,longest:7,steps:9,word:6,work:343,nodes:16,pairs:11,completionMax:35us [00m16s] 4680 ab:aaab=b,abaa=b infinite a/b - - ab:baaaaaa=b,ab=baaaa [00m16s] # 4681 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:6,work:880,nodes:30,pairs:18,completionMax:81us [00m16s] 4681 ab:aaab=b,abab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4681 ab:aaab=b,abab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4682 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:113,nodes:16,pairs:5,completionMax:14us [00m16s] 4682 ab:aaab=b,abab=b infinite ba - - ab:ab=bb,bbbb=b [00m16s] from: 4682 ab:aaab=b,abab=b infinite to: 4678 ab:aaab=b,aabb=b infinite a=a,b=b [00m16s] # 4683 solved: rounds:3,rules:4,peak:7,longest:7,steps:4,word:6,work:484,nodes:24,pairs:14,completionMax:73us [00m16s] 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,bbbbbba=a,aa=bbbba [00m16s] # 4684 solved: rounds:6,rules:6,peak:13,longest:8,steps:10,word:0,work:7908,nodes:48,pairs:43,completionMax:326us [00m16s] 4684 ab:aaab=b,abba=b infinite ab - - ab:baa=abb,bba=aab,aaab=b,babb=aaba,bbbbb=ababa,bababa=ababab [00m16s] # 4685 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:70,nodes:16,pairs:7,completionMax:25us [00m16s] 4685 ab:aaab=b,abbb=a infinite ab - - ab:bbb=aaa,aaaa=a,aaab=b,baaa=b [00m16s] # 4686 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:7us [00m16s] 4686 ab:aaab=b,baaa=b infinite ab - - ab:aaab=b,baaa=b [00m16s] # 4687 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:56,nodes:14,pairs:2,completionMax:11us [00m16s] 4687 ab:aaab=b,baab=a infinite ab - - ab:aaaa=a,aaab=b,baaa=b,baab=a [00m16s] # 4688 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:1us [00m16s] 4688 ab:aaab=b,baab=b infinite ab - - ab:aaab=b,baab=b [00m16s] # 4689 solved: rounds:6,rules:4,peak:8,longest:7,steps:5,word:6,work:1100,nodes:16,pairs:30,completionMax:115us [00m16s] 4689 ab:aaab=b,baba=a finite:13;idempotents:1,bba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,bbbbbba=a,aa=bbbba [00m16s] from: 4689 ab:aaab=b,baba=a finite:13;idempotents:1,bba,bbbbbb to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb a=a,b=b [00m16s] # 4690 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:547,nodes:22,pairs:20,completionMax:44us [00m16s] 4690 ab:aaab=b,baba=b infinite ba - - ab:ba=bb,bbbb=b,aaab=b [00m16s] # 4691 solved: rounds:4,rules:4,peak:12,longest:12,steps:33,word:15,work:7879,nodes:56,pairs:25,completionMax:277us [00m16s] 4691 ab:aaab=b,babb=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,abbbbbbbbb=a,ba=abbbbbbb,aaa=bbbbbbbbb [00m16s] # 4692 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:2us [00m16s] 4692 ab:aaab=b,babb=b infinite ab - - ab:aaab=b,babb=b [00m16s] # 4693 solved: rounds:3,rules:4,peak:7,longest:7,steps:4,word:6,work:519,nodes:22,pairs:16,completionMax:52us [00m16s] 4693 ab:aaab=b,bbaa=a finite:13;idempotents:1,bba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,bbbbbba=a,aa=bbbba [00m16s] from: 4693 ab:aaab=b,bbaa=a finite:13;idempotents:1,bba,bbbbbb to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb a=a,b=b [00m16s] # 4694 solved: rounds:4,rules:4,peak:6,longest:5,steps:2,word:0,work:354,nodes:22,pairs:7,completionMax:47us [00m16s] 4694 ab:aaab=b,bbaa=b infinite ba - - ab:bab=bbb,baa=bbb,bbbb=b,aaab=b [00m16s] # 4695 solved: rounds:6,rules:4,peak:7,longest:11,steps:16,word:12,work:2402,nodes:44,pairs:23,completionMax:165us [00m16s] 4695 ab:aaab=b,bbab=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,abbbbbbbbb=a,ba=abbbb,aaa=bbbbbbbbb [00m16s] # 4696 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:2us [00m16s] 4696 ab:aaab=b,bbab=b infinite ab - - ab:aaab=b,bbab=b [00m16s] # 4697 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:56,nodes:14,pairs:2,completionMax:12us [00m16s] 4697 ab:aaab=b,bbba=a infinite ab - - ab:aaaa=a,aaab=b,bbba=a,bbbb=b [00m16s] # 4698 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:2us [00m16s] 4698 ab:aaba=a,aabb=a infinite ab - - ab:aaba=a,aabb=a [00m16s] # 4699 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:4us [00m16s] 4699 ab:aaba=a,aabb=b infinite ab - - ab:aaba=a,aabb=b [00m16s] # 4700 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:5us [00m16s] 4700 ab:aaba=a,abaa=a infinite ab - - ab:aaba=a,abaa=a [00m16s] # 4701 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:347,nodes:22,pairs:20,completionMax:55us [00m16s] 4701 ab:aaba=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4701 ab:aaba=a,abaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4702 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:58,nodes:12,pairs:5,completionMax:15us [00m16s] 4702 ab:aaba=a,abab=a infinite ab - - ab:ab=aa,aaaa=a [00m16s] from: 4702 ab:aaba=a,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [00m16s] # 4703 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:0,work:68,nodes:16,pairs:2,completionMax:14us [00m16s] 4703 ab:aaba=a,abab=b infinite ab - - ab:bab=abb,aaba=a,aabb=b [00m16s] # 4704 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:2us [00m16s] 4704 ab:aaba=a,abba=a infinite ab - - ab:aaba=a,abba=a [00m16s] # 4705 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:228,nodes:22,pairs:12,completionMax:31us [00m16s] 4705 ab:aaba=a,abba=b infinite;commutative:ab:a3b=a,a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a,aabb=b [00m16s] from: 4705 ab:aaba=a,abba=b infinite;commutative:ab:a3b=a,a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 4658 ab:aaab=a,abba=b infinite;commutative:ab:a3b=a,a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4706 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:0,work:124,nodes:14,pairs:12,completionMax:23us [00m16s] 4706 ab:aaba=a,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [00m16s] from: 4706 ab:aaba=a,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [00m16s] # 4707 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:4us [00m16s] 4707 ab:aaba=a,baab=b infinite ab - - ab:aaba=a,baab=b [00m16s] # 4708 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:167,nodes:16,pairs:9,completionMax:21us [00m16s] 4708 ab:aaba=a,baba=a infinite ab - - ab:ba=aa,aaaa=a [00m16s] from: 4708 ab:aaba=a,baba=a infinite to: 4678 ab:aaab=b,aabb=b infinite a=b,b=a [00m16s] # 4709 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:180,nodes:18,pairs:4,completionMax:14us [00m16s] 4709 ab:aaba=a,baba=b infinite ab - - ab:aba=aab,bba=bab,aaab=a,baab=b [00m16s] from: 4709 ab:aaba=a,baba=b infinite to: 4666 ab:aaab=a,baba=b infinite a=a,b=b [00m16s] # 4710 solved: rounds:3,rules:3,peak:6,longest:7,steps:2,word:3,work:489,nodes:24,pairs:13,completionMax:52us [00m16s] 4710 ab:aaba=a,babb=a infinite a/b - - ab:aaaaaaa=a,ba=aaaaa,abb=aaa [00m16s] from: 4710 ab:aaba=a,babb=a infinite to: 4671 ab:aaab=a,bbab=a infinite anti:a=a,b=b [00m16s] # 4711 solved: rounds:5,rules:7,peak:7,longest:6,steps:2,word:3,work:383,nodes:22,pairs:7,completionMax:31us [00m16s] 4711 ab:aaba=a,babb=b infinite a/b - - ab:abaa=a,aaba=a,bba=baa,baab=b,baaab=bb,abb=aab,bbb=baaaab [00m16s] # 4712 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:58,nodes:16,pairs:2,completionMax:7us [00m16s] 4712 ab:aaba=a,bbaa=a infinite ab - - ab:bba=aba,aaba=a,abaa=a [00m16s] # 4713 solved: rounds:3,rules:4,peak:5,longest:4,steps:2,word:0,work:201,nodes:20,pairs:5,completionMax:24us [00m16s] 4713 ab:aaba=a,bbaa=b infinite ab - - ab:aba=aab,bba=bab,aaab=a,baab=b [00m16s] from: 4713 ab:aaba=a,bbaa=b infinite to: 4666 ab:aaab=a,baba=b infinite a=a,b=b [00m16s] # 4714 solved: rounds:3,rules:3,peak:13,longest:10,steps:17,word:6,work:3637,nodes:46,pairs:18,completionMax:184us [00m16s] 4714 ab:aaba=a,bbab=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa,bba=aaa [00m16s] from: 4714 ab:aaba=a,bbab=a infinite to: 4671 ab:aaab=a,bbab=a infinite a=a,b=b [00m16s] # 4715 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:2us [00m16s] 4715 ab:aaba=a,bbab=b infinite ab - - ab:aaba=a,bbab=b [00m16s] # 4716 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:6,work:1266,nodes:20,pairs:34,completionMax:174us [00m16s] 4716 ab:aaba=b,aabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4716 ab:aaba=b,aabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4717 solved: rounds:3,rules:3,peak:7,longest:4,steps:2,word:0,work:444,nodes:16,pairs:28,completionMax:56us [00m16s] 4717 ab:aaba=b,aabb=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [00m16s] from: 4717 ab:aaba=b,aabb=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [00m16s] # 4718 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:128,nodes:14,pairs:7,completionMax:16us [00m16s] 4718 ab:aaba=b,abaa=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [00m16s] from: 4718 ab:aaba=b,abaa=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [00m16s] # 4719 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:256,nodes:20,pairs:18,completionMax:67us [00m16s] 4719 ab:aaba=b,abab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4719 ab:aaba=b,abab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4720 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:198,nodes:18,pairs:13,completionMax:26us [00m16s] 4720 ab:aaba=b,abab=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [00m16s] from: 4720 ab:aaba=b,abab=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [00m16s] # 4721 solved: rounds:3,rules:2,peak:9,longest:9,steps:9,word:3,work:884,nodes:32,pairs:27,completionMax:89us [00m16s] 4721 ab:aaba=b,abba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4721 ab:aaba=b,abba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4722 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:0,work:2056,nodes:28,pairs:63,completionMax:321us [00m16s] 4722 ab:aaba=b,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [00m16s] from: 4722 ab:aaba=b,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [00m16s] # 4723 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:6,work:434,nodes:20,pairs:16,completionMax:60us [00m16s] 4723 ab:aaba=b,baab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4723 ab:aaba=b,baab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4724 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:142,nodes:14,pairs:11,completionMax:23us [00m16s] 4724 ab:aaba=b,baab=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [00m16s] from: 4724 ab:aaba=b,baab=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [00m16s] # 4725 solved: rounds:3,rules:2,peak:10,longest:7,steps:7,word:6,work:899,nodes:18,pairs:50,completionMax:185us [00m16s] 4725 ab:aaba=b,baba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4725 ab:aaba=b,baba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4726 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:330,nodes:18,pairs:13,completionMax:34us [00m16s] 4726 ab:aaba=b,baba=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [00m16s] from: 4726 ab:aaba=b,baba=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [00m16s] # 4727 solved: rounds:3,rules:4,peak:5,longest:10,steps:13,word:6,work:583,nodes:40,pairs:13,completionMax:78us [00m16s] 4727 ab:aaba=b,babb=a finite:28;idempotents:1,aaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=a,baaaaaaaaa=b,ab=baaaa,bbb=aaa [00m16s] # 4728 solved: rounds:3,rules:2,peak:9,longest:7,steps:4,word:6,work:938,nodes:24,pairs:23,completionMax:99us [00m16s] 4728 ab:aaba=b,bbaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbbb [00m16s] from: 4728 ab:aaba=b,bbaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b4;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbb,bbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaa,b=a [00m16s] # 4729 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:588,nodes:18,pairs:17,completionMax:62us [00m16s] 4729 ab:aaba=b,bbaa=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [00m16s] from: 4729 ab:aaba=b,bbaa=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [00m16s] # 4730 solved: rounds:3,rules:4,peak:12,longest:10,steps:24,word:15,work:11029,nodes:64,pairs:77,completionMax:447us [00m16s] 4730 ab:aaba=b,bbab=a finite:28;idempotents:1,aaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=a,baaaaaaaaa=b,ab=baaaa,bbb=aaaaaa [00m16s] # 4731 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:59,nodes:12,pairs:1,completionMax:9us [00m16s] 4731 ab:aabb=a,abab=a infinite ab - - ab:aba=aab,aabb=a [00m16s] # 4732 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:97,nodes:16,pairs:7,completionMax:18us [00m16s] 4732 ab:aabb=a,abab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4732 ab:aabb=a,abab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4733 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [00m16s] 4733 ab:aabb=a,abba=a infinite ab - - ab:aabb=a,abba=a [00m16s] # 4734 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:0,work:290,nodes:22,pairs:14,completionMax:42us [00m16s] 4734 ab:aabb=a,abba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4734 ab:aabb=a,abba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4735 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:65,nodes:14,pairs:3,completionMax:9us [00m16s] 4735 ab:aabb=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m16s] from: 4735 ab:aabb=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4736 solved: rounds:3,rules:4,peak:5,longest:4,steps:2,word:0,work:126,nodes:16,pairs:8,completionMax:27us [00m16s] 4736 ab:aabb=a,baab=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4736 ab:aabb=a,baab=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4737 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:144,nodes:16,pairs:5,completionMax:19us [00m16s] 4737 ab:aabb=a,baba=a infinite ba - - ab:abb=bba,aba=baa,bbaa=a [00m16s] # 4738 solved: rounds:3,rules:4,peak:7,longest:4,steps:2,word:0,work:304,nodes:16,pairs:17,completionMax:37us [00m16s] 4738 ab:aabb=a,baba=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4738 ab:aabb=a,baba=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4739 solved: rounds:1,rules:6,peak:6,longest:4,steps:5,word:0,work:184,nodes:21,pairs:8,completionMax:22us [00m16s] 4739 ab:aabb=a,bbaa=a infinite bac bb=c frequency:2/0 abc:bb=c,cb=bc,ca=ac,aac=a,aaba=abaa,aabc=ab [00m16s] # 4740 solved: rounds:2,rules:4,peak:9,longest:4,steps:3,word:0,work:620,nodes:24,pairs:19,completionMax:69us [00m16s] 4740 ab:aabb=a,bbaa=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4740 ab:aabb=a,bbaa=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4741 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:98,nodes:12,pairs:5,completionMax:12us [00m16s] 4741 ab:abab=a,abba=a infinite ab - - ab:aba=aab,aabb=a,abba=a [00m16s] # 4742 solved: rounds:2,rules:2,peak:9,longest:4,steps:5,word:0,work:1066,nodes:20,pairs:21,completionMax:69us [00m16s] 4742 ab:abab=a,abba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 ab - - ab:b=a,aaaa=a [00m16s] from: 4742 ab:abab=a,abba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a=b,b4=b;saturation:a:a3=1;noncancellative:bbb,1,bb,bb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=b [00m16s] # 4743 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:262,nodes:14,pairs:16,completionMax:22us [00m16s] 4743 ab:abab=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m16s] from: 4743 ab:abab=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4744 solved: rounds:3,rules:4,peak:6,longest:4,steps:3,word:0,work:336,nodes:18,pairs:22,completionMax:38us [00m16s] 4744 ab:abab=a,baab=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4744 ab:abab=a,baab=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4745 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:90,nodes:14,pairs:5,completionMax:10us [00m16s] 4745 ab:abab=a,baba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m16s] from: 4745 ab:abab=a,baba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4746 solved: rounds:1,rules:4,peak:6,longest:4,steps:3,word:0,work:200,nodes:20,pairs:6,completionMax:21us [00m16s] 4746 ab:abab=a,baba=b finite:7;idempotents:1,aaa,baa ab - - ab:ab=aa,bb=ba,aaaa=a,baaa=b [00m16s] from: 4746 ab:abab=a,baba=b finite:7;idempotents:1,aaa,baa to: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa a=a,b=b [00m16s] # 4747 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:271,nodes:16,pairs:13,completionMax:32us [00m16s] 4747 ab:abba=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [00m16s] from: 4747 ab:abba=a,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [00m16s] # 4748 solved: rounds:3,rules:7,peak:7,longest:6,steps:2,word:3,work:404,nodes:22,pairs:10,completionMax:66us [00m16s] 4748 ab:abba=a,baab=b infinite a/b - - ab:abaa=a,aaba=a,bba=baa,baab=b,baaab=bb,abb=aab,bbb=baaaab [00m16s] from: 4748 ab:abba=a,baab=b infinite to: 4711 ab:aaba=a,babb=b infinite a=a,b=b [00m16s] # 4749 solved: rounds:2,rules:6,peak:9,longest:9,steps:4,word:3,work:1032,nodes:42,pairs:11,completionMax:82us [00m16s] 4749 ab:abba=b,baab=a finite:25;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,aaab=baaa,bb=aabaa,bab=aba,baab=a [00m16s] # 4750 solved: rounds:1,rules:1,peak:2,longest:3,steps:3,word:0,work:38,nodes:6,pairs:4,completionMax:11us [00m16s] 4750 ab:aaa=aa,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [00m16s] from: 4750 ab:aaa=aa,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [00m16s] # 4751 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:46,nodes:6,pairs:4,completionMax:16us [00m16s] 4751 ab:aaa=aa,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4751 ab:aaa=aa,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4752 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:64,nodes:8,pairs:7,completionMax:15us [00m16s] 4752 ab:aaa=aa,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4752 ab:aaa=aa,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4753 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:8,pairs:4,completionMax:9us [00m16s] 4753 ab:aaa=aa,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4753 ab:aaa=aa,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4754 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:91,nodes:10,pairs:10,completionMax:13us [00m16s] 4754 ab:aaa=aa,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4754 ab:aaa=aa,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4755 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:53,nodes:10,pairs:5,completionMax:11us [00m16s] 4755 ab:aaa=aa,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4755 ab:aaa=aa,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4756 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:69,nodes:10,pairs:7,completionMax:14us [00m16s] 4756 ab:aaa=aa,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4756 ab:aaa=aa,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4757 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:46,nodes:10,pairs:4,completionMax:9us [00m16s] 4757 ab:aaa=aa,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4757 ab:aaa=aa,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4758 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:138,nodes:12,pairs:8,completionMax:29us [00m16s] 4758 ab:aaa=aa,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4758 ab:aaa=aa,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4759 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:0,work:169,nodes:14,pairs:9,completionMax:21us [00m16s] 4759 ab:aaa=aa,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4759 ab:aaa=aa,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4760 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:60,nodes:12,pairs:4,completionMax:13us [00m16s] 4760 ab:aaa=aa,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4760 ab:aaa=aa,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4761 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:110,nodes:16,pairs:6,completionMax:19us [00m16s] 4761 ab:aaa=aa,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4761 ab:aaa=aa,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4762 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:123,nodes:18,pairs:8,completionMax:20us [00m16s] 4762 ab:aaa=aa,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4762 ab:aaa=aa,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4763 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:54,nodes:12,pairs:3,completionMax:19us [00m16s] 4763 ab:aaa=aa,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4763 ab:aaa=aa,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4764 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:156,nodes:12,pairs:25,completionMax:43us [00m16s] 4764 ab:aaa=aa,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4764 ab:aaa=aa,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4765 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:375,nodes:20,pairs:16,completionMax:64us [00m16s] 4765 ab:aaa=aa,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4765 ab:aaa=aa,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4766 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:149,nodes:14,pairs:11,completionMax:22us [00m16s] 4766 ab:aaa=aa,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4766 ab:aaa=aa,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4767 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:0,work:271,nodes:18,pairs:8,completionMax:32us [00m16s] 4767 ab:aaa=aa,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4767 ab:aaa=aa,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4768 solved: rounds:5,rules:2,peak:6,longest:5,steps:7,word:0,work:807,nodes:24,pairs:19,completionMax:55us [00m16s] 4768 ab:aaa=aa,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4768 ab:aaa=aa,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4769 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:18,nodes:14,pairs:0,completionMax:5us [00m16s] 4769 ab:aaa=aa,bbbbb=1 infinite ab - - ab:aaa=aa,bbbbb=1 [00m16s] # 4770 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:7us [00m16s] 4770 ab:aaa=ab,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [00m16s] from: 4770 ab:aaa=ab,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [00m16s] # 4771 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:1,work:11,nodes:12,pairs:1,completionMax:6us [00m16s] 4771 ab:aaa=ab,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4771 ab:aaa=ab,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4772 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:1,work:10,nodes:12,pairs:1,completionMax:7us [00m16s] 4772 ab:aaa=ab,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4772 ab:aaa=ab,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4773 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:17,nodes:14,pairs:1,completionMax:9us [00m16s] 4773 ab:aaa=ab,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4773 ab:aaa=ab,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4774 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:1,work:9,nodes:12,pairs:1,completionMax:5us [00m16s] 4774 ab:aaa=ab,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4774 ab:aaa=ab,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4775 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:16,nodes:14,pairs:1,completionMax:6us [00m16s] 4775 ab:aaa=ab,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4775 ab:aaa=ab,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4776 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:15,nodes:14,pairs:1,completionMax:6us [00m16s] 4776 ab:aaa=ab,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4776 ab:aaa=ab,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4777 solved: rounds:1,rules:2,peak:3,longest:8,steps:3,word:3,work:23,nodes:16,pairs:1,completionMax:8us [00m16s] 4777 ab:aaa=ab,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4777 ab:aaa=ab,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4778 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:1,work:8,nodes:12,pairs:1,completionMax:6us [00m16s] 4778 ab:aaa=ab,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4778 ab:aaa=ab,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4779 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:15,nodes:14,pairs:1,completionMax:6us [00m16s] 4779 ab:aaa=ab,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4779 ab:aaa=ab,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4780 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:14,nodes:14,pairs:1,completionMax:5us [00m16s] 4780 ab:aaa=ab,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4780 ab:aaa=ab,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4781 solved: rounds:1,rules:2,peak:3,longest:8,steps:3,word:3,work:22,nodes:16,pairs:1,completionMax:9us [00m16s] 4781 ab:aaa=ab,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4781 ab:aaa=ab,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4782 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:2,work:13,nodes:14,pairs:1,completionMax:5us [00m16s] 4782 ab:aaa=ab,abbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4782 ab:aaa=ab,abbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4783 solved: rounds:1,rules:2,peak:3,longest:8,steps:3,word:3,work:21,nodes:16,pairs:1,completionMax:10us [00m16s] 4783 ab:aaa=ab,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4783 ab:aaa=ab,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4784 solved: rounds:1,rules:2,peak:3,longest:8,steps:3,word:3,work:20,nodes:16,pairs:1,completionMax:8us [00m16s] 4784 ab:aaa=ab,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4784 ab:aaa=ab,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4785 solved: rounds:1,rules:2,peak:3,longest:9,steps:4,word:4,work:29,nodes:18,pairs:1,completionMax:9us [00m16s] 4785 ab:aaa=ab,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4785 ab:aaa=ab,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4786 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:1,work:56,nodes:22,pairs:3,completionMax:15us [00m16s] 4786 ab:aaa=ab,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4786 ab:aaa=ab,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4787 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:1,work:70,nodes:26,pairs:3,completionMax:19us [00m16s] 4787 ab:aaa=ab,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4787 ab:aaa=ab,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4788 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:1,work:69,nodes:26,pairs:3,completionMax:28us [00m16s] 4788 ab:aaa=ab,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4788 ab:aaa=ab,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4789 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:84,nodes:30,pairs:3,completionMax:23us [00m16s] 4789 ab:aaa=ab,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4789 ab:aaa=ab,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4790 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:1,work:68,nodes:26,pairs:3,completionMax:27us [00m16s] 4790 ab:aaa=ab,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4790 ab:aaa=ab,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4791 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:83,nodes:30,pairs:3,completionMax:25us [00m16s] 4791 ab:aaa=ab,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4791 ab:aaa=ab,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4792 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:82,nodes:30,pairs:3,completionMax:21us [00m16s] 4792 ab:aaa=ab,babba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4792 ab:aaa=ab,babba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4793 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:98,nodes:34,pairs:3,completionMax:25us [00m16s] 4793 ab:aaa=ab,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4793 ab:aaa=ab,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4794 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:86,nodes:24,pairs:4,completionMax:26us [00m16s] 4794 ab:aaa=ab,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4794 ab:aaa=ab,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4795 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:104,nodes:28,pairs:4,completionMax:23us [00m16s] 4795 ab:aaa=ab,bbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4795 ab:aaa=ab,bbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4796 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:103,nodes:28,pairs:4,completionMax:20us [00m16s] 4796 ab:aaa=ab,bbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4796 ab:aaa=ab,bbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4797 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:122,nodes:32,pairs:4,completionMax:36us [00m16s] 4797 ab:aaa=ab,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4797 ab:aaa=ab,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4798 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:3,work:128,nodes:26,pairs:5,completionMax:33us [00m16s] 4798 ab:aaa=ab,bbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4798 ab:aaa=ab,bbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4799 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:152,nodes:30,pairs:5,completionMax:36us [00m16s] 4799 ab:aaa=ab,bbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4799 ab:aaa=ab,bbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4800 solved: rounds:2,rules:2,peak:4,longest:10,steps:4,word:4,work:182,nodes:28,pairs:6,completionMax:37us [00m16s] 4800 ab:aaa=ab,bbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4800 ab:aaa=ab,bbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4801 solved: rounds:1,rules:3,peak:3,longest:11,steps:4,word:4,work:63,nodes:30,pairs:1,completionMax:13us [00m16s] 4801 ab:aaa=ab,bbbbb=1 finite:55;idempotents:1,bbbbaa,bbbaaaa,bbaaaaaa,baaaaaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaa=a,ab=aaa,bbbbb=1 [00m16s] # 4802 solved: rounds:1,rules:2,peak:4,longest:10,steps:3,word:6,work:112,nodes:26,pairs:4,completionMax:16us [00m16s] 4802 ab:aaa=bb,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [00m16s] from: 4802 ab:aaa=bb,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [00m16s] # 4803 solved: rounds:2,rules:2,peak:3,longest:11,steps:1,word:6,work:25,nodes:22,pairs:4,completionMax:13us [00m16s] 4803 ab:aaa=bb,aaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 4803 ab:aaa=bb,aaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [00m16s] # 4804 solved: rounds:3,rules:2,peak:8,longest:11,steps:3,word:6,work:899,nodes:34,pairs:21,completionMax:61us [00m16s] 4804 ab:aaa=bb,aaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 4804 ab:aaa=bb,aaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [00m16s] # 4805 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:54,nodes:12,pairs:2,completionMax:7us [00m16s] 4805 ab:aaa=bb,aaabb=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [00m16s] from: 4805 ab:aaa=bb,aaabb=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [00m16s] # 4806 solved: rounds:2,rules:2,peak:5,longest:11,steps:4,word:6,work:305,nodes:28,pairs:10,completionMax:58us [00m16s] 4806 ab:aaa=bb,aabaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 4806 ab:aaa=bb,aabaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [00m16s] # 4807 solved: rounds:4,rules:3,peak:14,longest:6,steps:6,word:0,work:2637,nodes:40,pairs:39,completionMax:200us [00m16s] 4807 ab:aaa=bb,aabab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [00m16s] from: 4807 ab:aaa=bb,aabab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bb,b=bbb [00m16s] # 4808 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:144,nodes:20,pairs:10,completionMax:21us [00m16s] 4808 ab:aaa=bb,aabba=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [00m16s] from: 4808 ab:aaa=bb,aabba=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [00m16s] # 4809 solved: rounds:2,rules:2,peak:3,longest:13,steps:1,word:7,work:32,nodes:26,pairs:4,completionMax:23us [00m16s] 4809 ab:aaa=bb,aabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4809 ab:aaa=bb,aabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4810 solved: rounds:2,rules:3,peak:7,longest:6,steps:7,word:0,work:761,nodes:24,pairs:16,completionMax:62us [00m16s] 4810 ab:aaa=bb,abaab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [00m16s] from: 4810 ab:aaa=bb,abaab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bb,b=bbb [00m16s] # 4811 solved: rounds:2,rules:3,peak:4,longest:6,steps:8,word:0,work:285,nodes:20,pairs:13,completionMax:37us [00m16s] 4811 ab:aaa=bb,ababa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [00m16s] from: 4811 ab:aaa=bb,ababa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bb,b=bbb [00m16s] # 4812 solved: rounds:2,rules:2,peak:5,longest:13,steps:4,word:7,work:431,nodes:34,pairs:9,completionMax:39us [00m16s] 4812 ab:aaa=bb,ababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4812 ab:aaa=bb,ababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4813 solved: rounds:2,rules:2,peak:3,longest:13,steps:1,word:7,work:31,nodes:26,pairs:4,completionMax:14us [00m16s] 4813 ab:aaa=bb,abbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4813 ab:aaa=bb,abbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4814 solved: rounds:3,rules:2,peak:6,longest:13,steps:14,word:7,work:1581,nodes:36,pairs:14,completionMax:83us [00m16s] 4814 ab:aaa=bb,abbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4814 ab:aaa=bb,abbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4815 solved: rounds:3,rules:2,peak:4,longest:14,steps:5,word:9,work:210,nodes:28,pairs:8,completionMax:31us [00m16s] 4815 ab:aaa=bb,abbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m16s] from: 4815 ab:aaa=bb,abbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [00m16s] # 4816 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:55,nodes:12,pairs:2,completionMax:6us [00m16s] 4816 ab:aaa=bb,baaab=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [00m16s] from: 4816 ab:aaa=bb,baaab=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [00m16s] # 4817 solved: rounds:2,rules:2,peak:3,longest:13,steps:1,word:7,work:46,nodes:26,pairs:5,completionMax:21us [00m16s] 4817 ab:aaa=bb,baabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4817 ab:aaa=bb,baabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4818 solved: rounds:2,rules:2,peak:5,longest:21,steps:19,word:14,work:1550,nodes:50,pairs:14,completionMax:74us [00m16s] 4818 ab:aaa=bb,babab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [00m16s] from: 4818 ab:aaa=bb,babab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [00m16s] # 4819 solved: rounds:5,rules:2,peak:5,longest:14,steps:7,word:9,work:528,nodes:28,pairs:17,completionMax:42us [00m16s] 4819 ab:aaa=bb,babbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m16s] from: 4819 ab:aaa=bb,babbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [00m16s] # 4820 solved: rounds:5,rules:2,peak:5,longest:14,steps:7,word:9,work:556,nodes:28,pairs:19,completionMax:58us [00m16s] 4820 ab:aaa=bb,bbabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [00m16s] from: 4820 ab:aaa=bb,bbabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [00m16s] # 4821 solved: rounds:2,rules:2,peak:3,longest:15,steps:2,word:8,work:38,nodes:30,pairs:4,completionMax:15us [00m16s] 4821 ab:aaa=bb,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 4821 ab:aaa=bb,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [00m16s] # 4822 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:10,pairs:2,completionMax:7us [00m16s] 4822 ab:aab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m16s] from: 4822 ab:aab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m16s] # 4823 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:5us [00m16s] 4823 ab:aab=aa,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4823 ab:aab=aa,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4824 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:5us [00m16s] 4824 ab:aab=aa,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4824 ab:aab=aa,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4825 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:6,pairs:2,completionMax:3us [00m16s] 4825 ab:aab=aa,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4825 ab:aab=aa,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4826 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:7us [00m16s] 4826 ab:aab=aa,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4826 ab:aab=aa,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4827 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:2,completionMax:4us [00m16s] 4827 ab:aab=aa,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4827 ab:aab=aa,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4828 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:3us [00m16s] 4828 ab:aab=aa,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4828 ab:aab=aa,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4829 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:2,completionMax:3us [00m16s] 4829 ab:aab=aa,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4829 ab:aab=aa,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4830 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:78,nodes:16,pairs:7,completionMax:23us [00m16s] 4830 ab:aab=aa,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4830 ab:aab=aa,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4831 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:67,nodes:12,pairs:7,completionMax:24us [00m16s] 4831 ab:aab=aa,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4831 ab:aab=aa,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4832 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:128,nodes:16,pairs:10,completionMax:45us [00m16s] 4832 ab:aab=aa,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4832 ab:aab=aa,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4833 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:65,nodes:12,pairs:8,completionMax:26us [00m16s] 4833 ab:aab=aa,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4833 ab:aab=aa,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4834 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:81,nodes:14,pairs:8,completionMax:26us [00m16s] 4834 ab:aab=aa,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4834 ab:aab=aa,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4835 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:139,nodes:16,pairs:8,completionMax:26us [00m16s] 4835 ab:aab=aa,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4835 ab:aab=aa,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4836 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:134,nodes:18,pairs:7,completionMax:32us [00m16s] 4836 ab:aab=aa,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4836 ab:aab=aa,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4837 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:52,nodes:12,pairs:4,completionMax:11us [00m16s] 4837 ab:aab=aa,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4837 ab:aab=aa,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4838 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:91,nodes:20,pairs:4,completionMax:23us [00m16s] 4838 ab:aab=aa,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4838 ab:aab=aa,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4839 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:79,nodes:16,pairs:4,completionMax:23us [00m16s] 4839 ab:aab=aa,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4839 ab:aab=aa,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4840 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:78,nodes:16,pairs:4,completionMax:14us [00m16s] 4840 ab:aab=aa,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4840 ab:aab=aa,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4841 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:12,pairs:4,completionMax:15us [00m16s] 4841 ab:aab=aa,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4841 ab:aab=aa,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4842 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:89,nodes:18,pairs:5,completionMax:16us [00m16s] 4842 ab:aab=aa,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4842 ab:aab=aa,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4843 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:202,nodes:16,pairs:8,completionMax:29us [00m16s] 4843 ab:aab=aa,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4843 ab:aab=aa,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4844 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:186,nodes:18,pairs:9,completionMax:42us [00m16s] 4844 ab:aab=aa,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4844 ab:aab=aa,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4845 solved: rounds:3,rules:2,peak:7,longest:5,steps:10,word:0,work:339,nodes:14,pairs:25,completionMax:50us [00m16s] 4845 ab:aab=aa,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4845 ab:aab=aa,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4846 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:87,nodes:18,pairs:5,completionMax:19us [00m16s] 4846 ab:aab=aa,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4846 ab:aab=aa,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4847 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:69,nodes:14,pairs:5,completionMax:19us [00m16s] 4847 ab:aab=aa,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4847 ab:aab=aa,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4848 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:125,nodes:16,pairs:6,completionMax:27us [00m16s] 4848 ab:aab=aa,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4848 ab:aab=aa,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4849 solved: rounds:3,rules:2,peak:10,longest:5,steps:9,word:0,work:687,nodes:18,pairs:50,completionMax:105us [00m16s] 4849 ab:aab=aa,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4849 ab:aab=aa,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4850 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:77,nodes:16,pairs:6,completionMax:15us [00m16s] 4850 ab:aab=aa,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4850 ab:aab=aa,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4851 solved: rounds:3,rules:2,peak:9,longest:6,steps:9,word:0,work:1111,nodes:18,pairs:20,completionMax:89us [00m16s] 4851 ab:aab=aa,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4851 ab:aab=aa,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4852 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:122,nodes:14,pairs:9,completionMax:19us [00m16s] 4852 ab:aab=aa,bbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4852 ab:aab=aa,bbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4853 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:12,nodes:14,pairs:0,completionMax:4us [00m16s] 4853 ab:aab=aa,bbbbb=1 infinite ab - - ab:aab=aa,bbbbb=1 [00m16s] # 4854 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:31,nodes:10,pairs:2,completionMax:11us [00m16s] 4854 ab:aab=ab,aaaaa=1 infinite ab - - ab:ab=b,aaaaa=1 [00m16s] from: 4854 ab:aab=ab,aaaaa=1 infinite to: 1908 ab:aab=b,aaaaa=1 infinite a=a,b=b [00m16s] # 4855 solved: rounds:2,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:6,pairs:2,completionMax:3us [00m16s] 4855 ab:aab=ab,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4855 ab:aab=ab,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4856 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:8,pairs:5,completionMax:12us [00m16s] 4856 ab:aab=ab,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4856 ab:aab=ab,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4857 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:8,pairs:2,completionMax:7us [00m16s] 4857 ab:aab=ab,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4857 ab:aab=ab,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4858 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:12,pairs:7,completionMax:15us [00m16s] 4858 ab:aab=ab,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4858 ab:aab=ab,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4859 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:10,pairs:3,completionMax:8us [00m16s] 4859 ab:aab=ab,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4859 ab:aab=ab,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4860 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:10,pairs:5,completionMax:8us [00m16s] 4860 ab:aab=ab,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4860 ab:aab=ab,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4861 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:10,pairs:2,completionMax:6us [00m16s] 4861 ab:aab=ab,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4861 ab:aab=ab,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4862 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:68,nodes:14,pairs:8,completionMax:15us [00m16s] 4862 ab:aab=ab,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4862 ab:aab=ab,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4863 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:5us [00m16s] 4863 ab:aab=ab,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4863 ab:aab=ab,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4864 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:41,nodes:12,pairs:7,completionMax:10us [00m16s] 4864 ab:aab=ab,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4864 ab:aab=ab,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4865 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:12,pairs:3,completionMax:7us [00m16s] 4865 ab:aab=ab,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4865 ab:aab=ab,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4866 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:65,nodes:16,pairs:7,completionMax:22us [00m16s] 4866 ab:aab=ab,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4866 ab:aab=ab,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4867 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:12,pairs:4,completionMax:8us [00m16s] 4867 ab:aab=ab,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4867 ab:aab=ab,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4868 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:27,nodes:12,pairs:5,completionMax:8us [00m16s] 4868 ab:aab=ab,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4868 ab:aab=ab,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4869 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:8,nodes:12,pairs:2,completionMax:6us [00m16s] 4869 ab:aab=ab,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4869 ab:aab=ab,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4870 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:117,nodes:14,pairs:9,completionMax:19us [00m16s] 4870 ab:aab=ab,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4870 ab:aab=ab,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4871 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:68,nodes:10,pairs:8,completionMax:19us [00m16s] 4871 ab:aab=ab,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4871 ab:aab=ab,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4872 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:12,pairs:6,completionMax:13us [00m16s] 4872 ab:aab=ab,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4872 ab:aab=ab,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4873 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:236,nodes:16,pairs:15,completionMax:40us [00m16s] 4873 ab:aab=ab,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4873 ab:aab=ab,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4874 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:109,nodes:16,pairs:8,completionMax:21us [00m16s] 4874 ab:aab=ab,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4874 ab:aab=ab,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4875 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:124,nodes:14,pairs:10,completionMax:23us [00m16s] 4875 ab:aab=ab,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4875 ab:aab=ab,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4876 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:106,nodes:16,pairs:9,completionMax:20us [00m16s] 4876 ab:aab=ab,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4876 ab:aab=ab,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4877 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:495,nodes:24,pairs:22,completionMax:67us [00m16s] 4877 ab:aab=ab,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4877 ab:aab=ab,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4878 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:121,nodes:14,pairs:9,completionMax:21us [00m16s] 4878 ab:aab=ab,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4878 ab:aab=ab,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4879 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:157,nodes:12,pairs:14,completionMax:30us [00m16s] 4879 ab:aab=ab,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4879 ab:aab=ab,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4880 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:60,nodes:14,pairs:6,completionMax:14us [00m16s] 4880 ab:aab=ab,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4880 ab:aab=ab,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4881 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:387,nodes:22,pairs:13,completionMax:46us [00m16s] 4881 ab:aab=ab,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4881 ab:aab=ab,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4882 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:118,nodes:14,pairs:9,completionMax:23us [00m16s] 4882 ab:aab=ab,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4882 ab:aab=ab,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4883 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:410,nodes:22,pairs:20,completionMax:51us [00m16s] 4883 ab:aab=ab,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4883 ab:aab=ab,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4884 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:95,nodes:14,pairs:7,completionMax:26us [00m16s] 4884 ab:aab=ab,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4884 ab:aab=ab,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4885 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:8us [00m16s] 4885 ab:aab=ab,bbbbb=1 infinite ab - - ab:aa=a,bbbbb=1 [00m16s] from: 4885 ab:aab=ab,bbbbb=1 infinite to: 827 ab:aa=a,bbbbb=1 infinite a=a,b=b [00m16s] # 4886 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:2,work:42,nodes:10,pairs:2,completionMax:12us [00m16s] 4886 ab:aab=ba,aaaaa=1 infinite a/b - - ab:aaaaa=1,ab=baaa [00m16s] # 4887 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:129,nodes:14,pairs:16,completionMax:35us [00m16s] 4887 ab:aab=ba,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4887 ab:aab=ba,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4888 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:150,nodes:16,pairs:8,completionMax:27us [00m16s] 4888 ab:aab=ba,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4888 ab:aab=ba,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4889 solved: rounds:4,rules:3,peak:9,longest:4,steps:3,word:1,work:568,nodes:20,pairs:33,completionMax:100us [00m16s] 4889 ab:aab=ba,aaabb=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m16s] from: 4889 ab:aab=ba,aaabb=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m16s] # 4890 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:149,nodes:16,pairs:16,completionMax:28us [00m16s] 4890 ab:aab=ba,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4890 ab:aab=ba,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4891 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:47,nodes:10,pairs:8,completionMax:16us [00m16s] 4891 ab:aab=ba,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4891 ab:aab=ba,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4892 solved: rounds:3,rules:3,peak:10,longest:5,steps:3,word:1,work:564,nodes:28,pairs:26,completionMax:103us [00m16s] 4892 ab:aab=ba,aabba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m16s] from: 4892 ab:aab=ba,aabba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m16s] # 4893 solved: rounds:3,rules:2,peak:5,longest:4,steps:5,word:0,work:205,nodes:16,pairs:12,completionMax:29us [00m16s] 4893 ab:aab=ba,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4893 ab:aab=ba,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4894 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:317,nodes:24,pairs:25,completionMax:36us [00m16s] 4894 ab:aab=ba,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4894 ab:aab=ba,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4895 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:387,nodes:22,pairs:18,completionMax:55us [00m16s] 4895 ab:aab=ba,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4895 ab:aab=ba,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4896 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:189,nodes:14,pairs:10,completionMax:31us [00m16s] 4896 ab:aab=ba,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4896 ab:aab=ba,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4897 solved: rounds:3,rules:2,peak:11,longest:5,steps:4,word:0,work:667,nodes:22,pairs:45,completionMax:101us [00m16s] 4897 ab:aab=ba,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4897 ab:aab=ba,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4898 solved: rounds:3,rules:3,peak:13,longest:5,steps:4,word:1,work:1628,nodes:32,pairs:83,completionMax:270us [00m16s] 4898 ab:aab=ba,abbaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m16s] from: 4898 ab:aab=ba,abbaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m16s] # 4899 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:56,nodes:16,pairs:7,completionMax:15us [00m16s] 4899 ab:aab=ba,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4899 ab:aab=ba,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4900 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:406,nodes:30,pairs:18,completionMax:66us [00m16s] 4900 ab:aab=ba,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4900 ab:aab=ba,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4901 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:447,nodes:24,pairs:28,completionMax:64us [00m16s] 4901 ab:aab=ba,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4901 ab:aab=ba,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4902 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:184,nodes:18,pairs:17,completionMax:33us [00m16s] 4902 ab:aab=ba,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4902 ab:aab=ba,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4903 solved: rounds:3,rules:3,peak:10,longest:5,steps:3,word:1,work:566,nodes:28,pairs:26,completionMax:91us [00m16s] 4903 ab:aab=ba,baaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m16s] from: 4903 ab:aab=ba,baaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m16s] # 4904 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:344,nodes:24,pairs:29,completionMax:57us [00m16s] 4904 ab:aab=ba,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4904 ab:aab=ba,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4905 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:692,nodes:22,pairs:41,completionMax:90us [00m16s] 4905 ab:aab=ba,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4905 ab:aab=ba,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4906 solved: rounds:3,rules:2,peak:16,longest:6,steps:4,word:0,work:1679,nodes:34,pairs:92,completionMax:165us [00m16s] 4906 ab:aab=ba,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4906 ab:aab=ba,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4907 solved: rounds:3,rules:2,peak:5,longest:5,steps:7,word:0,work:244,nodes:18,pairs:11,completionMax:33us [00m16s] 4907 ab:aab=ba,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4907 ab:aab=ba,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4908 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:116,nodes:16,pairs:12,completionMax:33us [00m16s] 4908 ab:aab=ba,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4908 ab:aab=ba,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4909 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:249,nodes:20,pairs:13,completionMax:47us [00m16s] 4909 ab:aab=ba,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4909 ab:aab=ba,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4910 solved: rounds:3,rules:3,peak:11,longest:6,steps:4,word:1,work:1058,nodes:36,pairs:43,completionMax:217us [00m16s] 4910 ab:aab=ba,bbaaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [00m16s] from: 4910 ab:aab=ba,bbaaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [00m16s] # 4911 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:54,nodes:12,pairs:8,completionMax:13us [00m16s] 4911 ab:aab=ba,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4911 ab:aab=ba,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4912 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:2011,nodes:32,pairs:76,completionMax:245us [00m16s] 4912 ab:aab=ba,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4912 ab:aab=ba,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4913 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:519,nodes:24,pairs:22,completionMax:53us [00m16s] 4913 ab:aab=ba,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4913 ab:aab=ba,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4914 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:405,nodes:30,pairs:34,completionMax:69us [00m16s] 4914 ab:aab=ba,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4914 ab:aab=ba,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4915 solved: rounds:4,rules:2,peak:9,longest:6,steps:7,word:0,work:1195,nodes:30,pairs:48,completionMax:148us [00m16s] 4915 ab:aab=ba,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4915 ab:aab=ba,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4916 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:59,nodes:14,pairs:8,completionMax:22us [00m16s] 4916 ab:aab=ba,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4916 ab:aab=ba,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4917 solved: rounds:1,rules:3,peak:3,longest:32,steps:33,word:30,work:993,nodes:72,pairs:1,completionMax:84us [00m16s] 4917 ab:aab=ba,bbbbb=1 finite:160;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=a,ba=aab,bbbbb=1 [00m16s] # 4918 solved: rounds:1,rules:3,peak:4,longest:6,steps:3,word:2,work:65,nodes:20,pairs:2,completionMax:14us [00m16s] 4918 ab:aab=bb,aaaaa=1 finite:30;idempotents:1,bba,baaa,bbbbb,bbbbaa,bbbaaaa b/a - - ab:bbbbbb=b,ab=bbbb,aaaaa=1 [00m16s] # 4919 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:1,work:29,nodes:12,pairs:3,completionMax:11us [00m16s] 4919 ab:aab=bb,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4919 ab:aab=bb,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4920 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:1,work:390,nodes:18,pairs:14,completionMax:42us [00m16s] 4920 ab:aab=bb,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4920 ab:aab=bb,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4921 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:35,nodes:14,pairs:3,completionMax:13us [00m16s] 4921 ab:aab=bb,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4921 ab:aab=bb,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4922 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:1,work:852,nodes:32,pairs:15,completionMax:89us [00m16s] 4922 ab:aab=bb,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4922 ab:aab=bb,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4923 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:2,work:316,nodes:28,pairs:11,completionMax:36us [00m16s] 4923 ab:aab=bb,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4923 ab:aab=bb,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4924 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:1,work:554,nodes:26,pairs:27,completionMax:77us [00m16s] 4924 ab:aab=bb,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4924 ab:aab=bb,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4925 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:41,nodes:16,pairs:3,completionMax:14us [00m16s] 4925 ab:aab=bb,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4925 ab:aab=bb,aabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4926 solved: rounds:3,rules:2,peak:6,longest:10,steps:7,word:1,work:662,nodes:32,pairs:11,completionMax:55us [00m16s] 4926 ab:aab=bb,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4926 ab:aab=bb,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4927 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:2,work:179,nodes:18,pairs:9,completionMax:26us [00m16s] 4927 ab:aab=bb,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4927 ab:aab=bb,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4928 solved: rounds:3,rules:2,peak:4,longest:7,steps:9,word:2,work:213,nodes:14,pairs:10,completionMax:25us [00m16s] 4928 ab:aab=bb,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4928 ab:aab=bb,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4929 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:1,work:162,nodes:22,pairs:9,completionMax:30us [00m16s] 4929 ab:aab=bb,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4929 ab:aab=bb,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4930 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:1,work:781,nodes:26,pairs:24,completionMax:58us [00m16s] 4930 ab:aab=bb,abbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4930 ab:aab=bb,abbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4931 solved: rounds:3,rules:2,peak:11,longest:12,steps:4,word:2,work:2920,nodes:48,pairs:73,completionMax:247us [00m16s] 4931 ab:aab=bb,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4931 ab:aab=bb,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4932 solved: rounds:3,rules:2,peak:7,longest:8,steps:5,word:2,work:615,nodes:28,pairs:25,completionMax:83us [00m16s] 4932 ab:aab=bb,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4932 ab:aab=bb,abbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4933 solved: rounds:2,rules:2,peak:3,longest:9,steps:3,word:3,work:47,nodes:18,pairs:3,completionMax:16us [00m16s] 4933 ab:aab=bb,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4933 ab:aab=bb,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4934 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:29,nodes:12,pairs:3,completionMax:12us [00m16s] 4934 ab:aab=bb,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 4934 ab:aab=bb,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 4935 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:150,nodes:26,pairs:6,completionMax:22us [00m16s] 4935 ab:aab=bb,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4935 ab:aab=bb,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4936 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:45,nodes:14,pairs:5,completionMax:14us [00m16s] 4936 ab:aab=bb,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4936 ab:aab=bb,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4937 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:172,nodes:30,pairs:6,completionMax:36us [00m16s] 4937 ab:aab=bb,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4937 ab:aab=bb,baabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4938 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:41,nodes:14,pairs:4,completionMax:9us [00m16s] 4938 ab:aab=bb,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4938 ab:aab=bb,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4939 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:203,nodes:28,pairs:8,completionMax:31us [00m16s] 4939 ab:aab=bb,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4939 ab:aab=bb,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4940 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:53,nodes:16,pairs:5,completionMax:20us [00m16s] 4940 ab:aab=bb,babba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4940 ab:aab=bb,babba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4941 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:2,work:194,nodes:34,pairs:6,completionMax:28us [00m16s] 4941 ab:aab=bb,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4941 ab:aab=bb,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4942 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:2,work:1065,nodes:38,pairs:18,completionMax:97us [00m16s] 4942 ab:aab=bb,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 4942 ab:aab=bb,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 4943 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:2,work:301,nodes:32,pairs:12,completionMax:33us [00m16s] 4943 ab:aab=bb,bbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4943 ab:aab=bb,bbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4944 solved: rounds:3,rules:2,peak:9,longest:11,steps:4,word:2,work:1220,nodes:48,pairs:16,completionMax:111us [00m16s] 4944 ab:aab=bb,bbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4944 ab:aab=bb,bbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4945 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:2,work:191,nodes:22,pairs:9,completionMax:23us [00m16s] 4945 ab:aab=bb,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4945 ab:aab=bb,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4946 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:2,work:1028,nodes:28,pairs:17,completionMax:67us [00m16s] 4946 ab:aab=bb,bbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 4946 ab:aab=bb,bbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 4947 solved: rounds:3,rules:2,peak:10,longest:13,steps:4,word:2,work:1837,nodes:48,pairs:35,completionMax:128us [00m16s] 4947 ab:aab=bb,bbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4947 ab:aab=bb,bbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4948 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:3,work:1202,nodes:36,pairs:31,completionMax:108us [00m16s] 4948 ab:aab=bb,bbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 4948 ab:aab=bb,bbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 4949 solved: rounds:2,rules:2,peak:3,longest:10,steps:4,word:4,work:53,nodes:20,pairs:3,completionMax:14us [00m16s] 4949 ab:aab=bb,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m16s] from: 4949 ab:aab=bb,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m16s] # 4950 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:41,nodes:14,pairs:4,completionMax:12us [00m16s] 4950 ab:aba=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [00m16s] from: 4950 ab:aba=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [00m16s] # 4951 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:87,nodes:12,pairs:5,completionMax:25us [00m16s] 4951 ab:aba=aa,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4951 ab:aba=aa,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4952 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:42,nodes:12,pairs:4,completionMax:15us [00m16s] 4952 ab:aba=aa,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4952 ab:aba=aa,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4953 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:25,nodes:12,pairs:3,completionMax:10us [00m16s] 4953 ab:aba=aa,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4953 ab:aba=aa,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4954 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:12,pairs:4,completionMax:12us [00m16s] 4954 ab:aba=aa,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [00m16s] from: 4954 ab:aba=aa,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [00m16s] # 4955 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:74,nodes:10,pairs:5,completionMax:16us [00m16s] 4955 ab:aba=aa,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4955 ab:aba=aa,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4956 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:69,nodes:14,pairs:7,completionMax:20us [00m16s] 4956 ab:aba=aa,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4956 ab:aba=aa,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4957 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:12,pairs:3,completionMax:15us [00m16s] 4957 ab:aba=aa,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4957 ab:aba=aa,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4958 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:73,nodes:10,pairs:5,completionMax:18us [00m16s] 4958 ab:aba=aa,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4958 ab:aba=aa,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4959 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:46,nodes:10,pairs:4,completionMax:10us [00m16s] 4959 ab:aba=aa,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4959 ab:aba=aa,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4960 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:10,pairs:3,completionMax:8us [00m16s] 4960 ab:aba=aa,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4960 ab:aba=aa,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4961 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:118,nodes:14,pairs:7,completionMax:21us [00m16s] 4961 ab:aba=aa,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4961 ab:aba=aa,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4962 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:79,nodes:12,pairs:7,completionMax:14us [00m16s] 4962 ab:aba=aa,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4962 ab:aba=aa,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4963 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:25,nodes:10,pairs:3,completionMax:7us [00m16s] 4963 ab:aba=aa,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4963 ab:aba=aa,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4964 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:307,nodes:20,pairs:22,completionMax:46us [00m16s] 4964 ab:aba=aa,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [00m16s] from: 4964 ab:aba=aa,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [00m16s] # 4965 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:418,nodes:20,pairs:28,completionMax:57us [00m16s] 4965 ab:aba=aa,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4965 ab:aba=aa,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4966 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:234,nodes:16,pairs:21,completionMax:55us [00m16s] 4966 ab:aba=aa,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [00m16s] from: 4966 ab:aba=aa,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [00m16s] # 4967 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:284,nodes:20,pairs:37,completionMax:54us [00m16s] 4967 ab:aba=aa,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4967 ab:aba=aa,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4968 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:721,nodes:28,pairs:43,completionMax:101us [00m16s] 4968 ab:aba=aa,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4968 ab:aba=aa,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4969 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:7,nodes:14,pairs:0,completionMax:4us [00m16s] 4969 ab:aba=aa,bbbbb=1 infinite ab - - ab:aba=aa,bbbbb=1 [00m16s] # 4970 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:37,nodes:14,pairs:2,completionMax:15us [00m16s] 4970 ab:aba=ab,aaaaa=1 infinite ab - - ab:ba=b,aaaaa=1 [00m16s] from: 4970 ab:aba=ab,aaaaa=1 infinite to: 879 ab:ab=a,bbbbb=1 infinite a=b,b=a [00m16s] # 4971 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:57,nodes:14,pairs:7,completionMax:16us [00m16s] 4971 ab:aba=ab,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4971 ab:aba=ab,aaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4972 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:50,nodes:12,pairs:6,completionMax:14us [00m16s] 4972 ab:aba=ab,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4972 ab:aba=ab,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4973 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:119,nodes:14,pairs:8,completionMax:20us [00m16s] 4973 ab:aba=ab,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4973 ab:aba=ab,aaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4974 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:43,nodes:10,pairs:5,completionMax:11us [00m16s] 4974 ab:aba=ab,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4974 ab:aba=ab,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4975 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:108,nodes:12,pairs:7,completionMax:18us [00m16s] 4975 ab:aba=ab,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4975 ab:aba=ab,aabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4976 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:233,nodes:16,pairs:14,completionMax:53us [00m16s] 4976 ab:aba=ab,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4976 ab:aba=ab,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4977 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:319,nodes:16,pairs:11,completionMax:44us [00m16s] 4977 ab:aba=ab,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4977 ab:aba=ab,aabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4978 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:25,nodes:6,pairs:3,completionMax:5us [00m16s] 4978 ab:aba=ab,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4978 ab:aba=ab,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4979 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:3,completionMax:8us [00m16s] 4979 ab:aba=ab,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4979 ab:aba=ab,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4980 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:10,pairs:12,completionMax:22us [00m16s] 4980 ab:aba=ab,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4980 ab:aba=ab,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4981 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:62,nodes:12,pairs:7,completionMax:21us [00m16s] 4981 ab:aba=ab,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4981 ab:aba=ab,ababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4982 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:176,nodes:14,pairs:11,completionMax:39us [00m16s] 4982 ab:aba=ab,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4982 ab:aba=ab,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4983 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:16,pairs:6,completionMax:16us [00m16s] 4983 ab:aba=ab,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4983 ab:aba=ab,abbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4984 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:201,nodes:16,pairs:12,completionMax:28us [00m16s] 4984 ab:aba=ab,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4984 ab:aba=ab,abbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4985 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:67,nodes:14,pairs:7,completionMax:32us [00m16s] 4985 ab:aba=ab,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4985 ab:aba=ab,abbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4986 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:139,nodes:14,pairs:10,completionMax:19us [00m16s] 4986 ab:aba=ab,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [00m16s] from: 4986 ab:aba=ab,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [00m16s] # 4987 solved: rounds:1,rules:2,peak:4,longest:5,steps:3,word:0,work:63,nodes:14,pairs:4,completionMax:14us [00m16s] 4987 ab:aba=ab,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4987 ab:aba=ab,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4988 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:0,work:48,nodes:12,pairs:4,completionMax:17us [00m16s] 4988 ab:aba=ab,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4988 ab:aba=ab,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4989 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:304,nodes:16,pairs:16,completionMax:55us [00m16s] 4989 ab:aba=ab,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4989 ab:aba=ab,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4990 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:35,nodes:10,pairs:4,completionMax:9us [00m16s] 4990 ab:aba=ab,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4990 ab:aba=ab,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4991 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:203,nodes:14,pairs:15,completionMax:30us [00m16s] 4991 ab:aba=ab,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4991 ab:aba=ab,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4992 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:85,nodes:16,pairs:10,completionMax:21us [00m16s] 4992 ab:aba=ab,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4992 ab:aba=ab,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4993 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:199,nodes:18,pairs:17,completionMax:38us [00m16s] 4993 ab:aba=ab,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4993 ab:aba=ab,babbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4994 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:25,nodes:14,pairs:4,completionMax:10us [00m16s] 4994 ab:aba=ab,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [00m16s] from: 4994 ab:aba=ab,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [00m16s] # 4995 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:36,nodes:14,pairs:5,completionMax:10us [00m16s] 4995 ab:aba=ab,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4995 ab:aba=ab,bbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4996 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:26,nodes:12,pairs:4,completionMax:7us [00m16s] 4996 ab:aba=ab,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4996 ab:aba=ab,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4997 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:396,nodes:24,pairs:12,completionMax:38us [00m16s] 4997 ab:aba=ab,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4997 ab:aba=ab,bbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 4998 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:14,pairs:4,completionMax:14us [00m16s] 4998 ab:aba=ab,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [00m16s] from: 4998 ab:aba=ab,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [00m16s] # 4999 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:24,nodes:14,pairs:4,completionMax:10us [00m16s] 4999 ab:aba=ab,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 4999 ab:aba=ab,bbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 5000 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:14,pairs:4,completionMax:12us [00m16s] 5000 ab:aba=ab,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [00m16s] from: 5000 ab:aba=ab,bbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [00m16s] # 5001 solved: rounds:3,rules:6,peak:6,longest:6,steps:2,word:0,work:303,nodes:20,pairs:8,completionMax:31us [00m16s] 5001 ab:aba=ab,bbbbb=1 finite:30;idempotents:1,a,babbbb,bbabbb,bbbabb,bbbbab ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,bbbbb=1,abbbba=abbbb [00m16s] # 5002 solved: rounds:8,rules:12,peak:30,longest:37,steps:71,word:54,work:690516,nodes:488,pairs:186,completionMax:19964us [00m16s] 5002 ab:aba=bb,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbba=abbb,aba=bb,baabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=baa,aaab=babbabbbbbbbbbbbbbbbbbbbbbbbbbb,abbabba=bbaabbbbb,baaa=bbabbabbbbbbbbbbbbbbbbbbbbbbbbb,babbaabba=aabbaabbbbbbbb,bbaabbaa=abbaabbabbbbbbbbbbbbbbbbbbbbbbbbb,aaaaa=1,baabbaabba=aabbaabbabbbbbbbbbbb [00m16s] # 5003 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:2,work:40,nodes:14,pairs:2,completionMax:17us [00m16s] 5003 ab:aba=bb,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 5003 ab:aba=bb,aaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 5004 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:343,nodes:24,pairs:14,completionMax:55us [00m16s] 5004 ab:aba=bb,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 5004 ab:aba=bb,aaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 5005 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:2,work:437,nodes:28,pairs:13,completionMax:44us [00m16s] 5005 ab:aba=bb,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5005 ab:aba=bb,aaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5006 solved: rounds:3,rules:2,peak:8,longest:10,steps:10,word:2,work:1416,nodes:32,pairs:16,completionMax:113us [00m16s] 5006 ab:aba=bb,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [00m16s] from: 5006 ab:aba=bb,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [00m16s] # 5007 solved: rounds:4,rules:2,peak:7,longest:9,steps:10,word:2,work:1518,nodes:28,pairs:28,completionMax:120us [00m16s] 5007 ab:aba=bb,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5007 ab:aba=bb,aabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5008 solved: rounds:3,rules:2,peak:7,longest:10,steps:9,word:2,work:2022,nodes:38,pairs:22,completionMax:93us [00m16s] 5008 ab:aba=bb,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5008 ab:aba=bb,aabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5009 solved: rounds:3,rules:3,peak:6,longest:12,steps:26,word:19,work:1580,nodes:34,pairs:15,completionMax:93us [00m16s] 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [00m16s] # 5010 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:129,nodes:14,pairs:9,completionMax:31us [00m16s] 5010 ab:aba=bb,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5010 ab:aba=bb,abaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5011 solved: rounds:3,rules:2,peak:4,longest:7,steps:9,word:2,work:186,nodes:14,pairs:10,completionMax:32us [00m16s] 5011 ab:aba=bb,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5011 ab:aba=bb,ababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5012 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:3,work:909,nodes:40,pairs:18,completionMax:81us [00m16s] 5012 ab:aba=bb,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 5012 ab:aba=bb,ababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 5013 solved: rounds:3,rules:2,peak:9,longest:9,steps:3,word:2,work:1788,nodes:42,pairs:75,completionMax:245us [00m16s] 5013 ab:aba=bb,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 5013 ab:aba=bb,abbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 5014 solved: rounds:3,rules:3,peak:5,longest:16,steps:16,word:12,work:1170,nodes:60,pairs:20,completionMax:95us [00m16s] 5014 ab:aba=bb,abbba=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [00m16s] from: 5014 ab:aba=bb,abbba=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [00m16s] # 5015 solved: rounds:4,rules:2,peak:7,longest:13,steps:18,word:2,work:2243,nodes:44,pairs:22,completionMax:130us [00m16s] 5015 ab:aba=bb,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 5015 ab:aba=bb,abbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 5016 solved: rounds:4,rules:2,peak:6,longest:7,steps:6,word:1,work:699,nodes:30,pairs:18,completionMax:83us [00m16s] 5016 ab:aba=bb,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [00m16s] from: 5016 ab:aba=bb,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [00m16s] # 5017 solved: rounds:3,rules:3,peak:7,longest:12,steps:27,word:19,work:2099,nodes:34,pairs:27,completionMax:146us [00m16s] 5017 ab:aba=bb,baabb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [00m16s] from: 5017 ab:aba=bb,baabb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [00m16s] # 5018 solved: rounds:3,rules:2,peak:5,longest:9,steps:15,word:2,work:630,nodes:32,pairs:18,completionMax:74us [00m16s] 5018 ab:aba=bb,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [00m16s] from: 5018 ab:aba=bb,babab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [00m16s] # 5019 solved: rounds:4,rules:2,peak:7,longest:9,steps:11,word:2,work:3039,nodes:34,pairs:28,completionMax:163us [00m16s] 5019 ab:aba=bb,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 5019 ab:aba=bb,babbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 5020 solved: rounds:3,rules:2,peak:7,longest:12,steps:11,word:3,work:2221,nodes:46,pairs:26,completionMax:142us [00m16s] 5020 ab:aba=bb,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [00m16s] from: 5020 ab:aba=bb,bbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [00m16s] # 5021 solved: rounds:3,rules:2,peak:12,longest:12,steps:20,word:3,work:10111,nodes:60,pairs:47,completionMax:303us [00m16s] 5021 ab:aba=bb,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [00m16s] from: 5021 ab:aba=bb,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [00m16s] # 5022 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:0,work:54,nodes:6,pairs:0,completionMax:5us [00m16s] 5022 ab:aaa=aa,aaaa=a infinite ab - - ab:aa=a [00m16s] from: 5022 ab:aaa=aa,aaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [00m16s] # 5023 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:0,completionMax:2us [00m16s] 5023 ab:aaa=aa,aaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m16s] from: 5023 ab:aaa=aa,aaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m16s] # 5024 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:67,nodes:6,pairs:4,completionMax:11us [00m16s] 5024 ab:aaa=aa,aaab=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5024 ab:aaa=aa,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5025 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:41,nodes:6,pairs:1,completionMax:6us [00m16s] 5025 ab:aaa=aa,aaab=b infinite ab - - ab:ab=b,aaa=aa [00m16s] from: 5025 ab:aaa=aa,aaab=b infinite to: 1577 ab:aaa=aa,aab=b infinite a=a,b=b [00m16s] # 5026 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:101,nodes:8,pairs:5,completionMax:11us [00m16s] 5026 ab:aaa=aa,aaba=a infinite ab - - ab:aa=a,aba=a [00m16s] from: 5026 ab:aaa=aa,aaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m16s] # 5027 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:162,nodes:14,pairs:6,completionMax:39us [00m16s] 5027 ab:aaa=aa,aaba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b,aaa=aa [00m16s] from: 5027 ab:aaa=aa,aaba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 1579 ab:aaa=aa,aba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [00m16s] # 5028 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:68,nodes:8,pairs:4,completionMax:15us [00m16s] 5028 ab:aaa=aa,aabb=a infinite ab - - ab:aa=a,abb=a [00m16s] from: 5028 ab:aaa=aa,aabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m16s] # 5029 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:8,pairs:3,completionMax:7us [00m16s] 5029 ab:aaa=aa,aabb=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [00m16s] from: 5029 ab:aaa=aa,aabb=b finite:6;idempotents:1,b,aa,ba,baa to: 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa a=a,b=b [00m16s] # 5030 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:337,nodes:12,pairs:10,completionMax:37us [00m16s] 5030 ab:aaa=aa,abab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m16s] from: 5030 ab:aaa=aa,abab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m16s] # 5031 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:160,nodes:14,pairs:7,completionMax:18us [00m16s] 5031 ab:aaa=aa,abab=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [00m16s] from: 5031 ab:aaa=aa,abab=b finite:6;idempotents:1,b,aa,ba,baa to: 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa a=a,b=b [00m16s] # 5032 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:41,nodes:10,pairs:0,completionMax:6us [00m16s] 5032 ab:aaa=aa,abba=a infinite ab - - ab:aaa=aa,abba=a [00m16s] # 5033 solved: rounds:3,rules:4,peak:7,longest:4,steps:3,word:0,work:257,nodes:18,pairs:11,completionMax:54us [00m16s] 5033 ab:aaa=aa,abba=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b,aaa=aa [00m16s] # 5034 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:10,pairs:0,completionMax:5us [00m16s] 5034 ab:aaa=aa,abbb=a infinite ab - - ab:aaa=aa,abbb=a [00m16s] # 5035 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:66,nodes:10,pairs:3,completionMax:26us [00m16s] 5035 ab:aaa=aa,abbb=b finite:9;idempotents:1,aa,bb,bba,bbaa ab - - ab:ab=b,aaa=aa,bbb=b [00m16s] # 5036 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:0,work:306,nodes:12,pairs:23,completionMax:36us [00m16s] 5036 ab:aaa=aa,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5036 ab:aaa=aa,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5037 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:12,pairs:0,completionMax:4us [00m16s] 5037 ab:aaa=aa,baab=b infinite ab - - ab:aaa=aa,baab=b [00m16s] # 5038 solved: rounds:3,rules:9,peak:10,longest:6,steps:4,word:1,work:2082,nodes:40,pairs:14,completionMax:77us [00m16s] 5038 ab:aaa=aa,babb=a infinite reversed:a/b - - ab:aaa=aa,abaa=baa,baba=aabb,baaba=aabb,bbaa=aabba,babb=a,aabbba=baabb,baabba=aa,aabbbb=baa [00m16s] # 5039 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:12,pairs:0,completionMax:2us [00m16s] 5039 ab:aaa=aa,babb=b infinite ab - - ab:aaa=aa,babb=b [00m16s] # 5040 solved: rounds:1,rules:2,peak:2,longest:12,steps:4,word:12,work:446,nodes:24,pairs:3,completionMax:16us [00m16s] 5040 ab:aaa=aa,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b8,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:4 b/a - - ab:bbbbbbbbbbbb=bbbbbbbb,a=bbbb [00m16s] # 5041 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:12,pairs:0,completionMax:3us [00m16s] 5041 ab:aaa=aa,bbbb=b infinite ab - - ab:aaa=aa,bbbb=b [00m16s] # 5042 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:14,nodes:8,pairs:0,completionMax:2us [00m16s] 5042 ab:aaa=ab,aaaa=a infinite a/b - - ab:aaaa=a,ab=aaa [00m16s] from: 5042 ab:aaa=ab,aaaa=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [00m16s] # 5043 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:1,completionMax:4us [00m16s] 5043 ab:aaa=ab,aaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [00m16s] from: 5043 ab:aaa=ab,aaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [00m16s] # 5044 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:21,nodes:10,pairs:0,completionMax:4us [00m16s] 5044 ab:aaa=ab,aaab=a infinite a/b - - ab:aaaaa=a,ab=aaa [00m16s] from: 5044 ab:aaa=ab,aaab=a infinite to: 1590 ab:aaa=ab,abb=a infinite a=a,b=b [00m16s] # 5045 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:40,nodes:12,pairs:1,completionMax:5us [00m16s] 5045 ab:aaa=ab,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaaa [00m16s] from: 5045 ab:aaa=ab,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbb [00m16s] # 5046 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:20,nodes:10,pairs:0,completionMax:4us [00m16s] 5046 ab:aaa=ab,aaba=a infinite a/b - - ab:aaaaa=a,ab=aaa [00m16s] from: 5046 ab:aaa=ab,aaba=a infinite to: 1590 ab:aaa=ab,abb=a infinite a=a,b=b [00m16s] # 5047 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:39,nodes:12,pairs:1,completionMax:5us [00m16s] 5047 ab:aaa=ab,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaaa [00m16s] from: 5047 ab:aaa=ab,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbb [00m16s] # 5048 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:28,nodes:12,pairs:0,completionMax:6us [00m16s] 5048 ab:aaa=ab,aabb=a infinite a/b - - ab:aaaaaa=a,ab=aaa [00m16s] # 5049 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:50,nodes:14,pairs:1,completionMax:7us [00m16s] 5049 ab:aaa=ab,aabb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [00m16s] from: 5049 ab:aaa=ab,aabb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [00m16s] # 5050 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:19,nodes:10,pairs:0,completionMax:3us [00m16s] 5050 ab:aaa=ab,abaa=a infinite a/b - - ab:aaaaa=a,ab=aaa [00m16s] from: 5050 ab:aaa=ab,abaa=a infinite to: 1590 ab:aaa=ab,abb=a infinite a=a,b=b [00m16s] # 5051 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:38,nodes:12,pairs:1,completionMax:8us [00m16s] 5051 ab:aaa=ab,abaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaaa [00m16s] from: 5051 ab:aaa=ab,abaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbb [00m16s] # 5052 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:27,nodes:12,pairs:0,completionMax:6us [00m16s] 5052 ab:aaa=ab,abab=a infinite a/b - - ab:aaaaaa=a,ab=aaa [00m16s] from: 5052 ab:aaa=ab,abab=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [00m16s] # 5053 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:49,nodes:14,pairs:1,completionMax:6us [00m16s] 5053 ab:aaa=ab,abab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [00m16s] from: 5053 ab:aaa=ab,abab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [00m16s] # 5054 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:26,nodes:12,pairs:0,completionMax:7us [00m16s] 5054 ab:aaa=ab,abba=a infinite a/b - - ab:aaaaaa=a,ab=aaa [00m16s] from: 5054 ab:aaa=ab,abba=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [00m16s] # 5055 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:48,nodes:14,pairs:1,completionMax:8us [00m16s] 5055 ab:aaa=ab,abba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [00m16s] from: 5055 ab:aaa=ab,abba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [00m16s] # 5056 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:35,nodes:14,pairs:0,completionMax:5us [00m16s] 5056 ab:aaa=ab,abbb=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [00m16s] # 5057 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:3,work:60,nodes:16,pairs:1,completionMax:10us [00m16s] 5057 ab:aaa=ab,abbb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [00m16s] from: 5057 ab:aaa=ab,abbb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [00m16s] # 5058 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:1,work:223,nodes:18,pairs:5,completionMax:33us [00m16s] 5058 ab:aaa=ab,baaa=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa [00m16s] from: 5058 ab:aaa=ab,baaa=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5059 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:102,nodes:18,pairs:2,completionMax:13us [00m16s] 5059 ab:aaa=ab,baaa=b finite:9;idempotents:1,ba,aaa a/b - - ab:aaaaaa=aaa,baaa=b,ab=aaa,bb=baa [00m16s] from: 5059 ab:aaa=ab,baaa=b finite:9;idempotents:1,ba,aaa to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa a=a,b=b [00m16s] # 5060 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:233,nodes:22,pairs:6,completionMax:40us [00m16s] 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaa,ab=aaa [00m16s] # 5061 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:1,work:123,nodes:22,pairs:2,completionMax:12us [00m16s] 5061 ab:aaa=ab,baab=b finite:11;idempotents:1,baa,aaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=aaa,bb=baa [00m16s] # 5062 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:232,nodes:22,pairs:6,completionMax:32us [00m16s] 5062 ab:aaa=ab,baba=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaa,ab=aaa [00m16s] from: 5062 ab:aaa=ab,baba=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=a,b=b [00m16s] # 5063 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:1,work:122,nodes:22,pairs:2,completionMax:19us [00m16s] 5063 ab:aaa=ab,baba=b finite:11;idempotents:1,baa,aaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=aaa,bb=baa [00m16s] from: 5063 ab:aaa=ab,baba=b finite:11;idempotents:1,baa,aaaa to: 5061 ab:aaa=ab,baab=b finite:11;idempotents:1,baa,aaaa a=a,b=b [00m16s] # 5064 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:2,work:259,nodes:26,pairs:7,completionMax:41us [00m16s] 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa [00m16s] # 5065 solved: rounds:1,rules:4,peak:4,longest:8,steps:2,word:2,work:132,nodes:26,pairs:2,completionMax:17us [00m16s] 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [00m16s] # 5066 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:193,nodes:20,pairs:3,completionMax:30us [00m16s] 5066 ab:aaa=ab,bbaa=a infinite a/b - - ab:aaaaaa=a,ab=aaa,bba=aaaaa [00m16s] # 5067 solved: rounds:2,rules:4,peak:4,longest:7,steps:1,word:1,work:143,nodes:22,pairs:4,completionMax:24us [00m16s] 5067 ab:aaa=ab,bbaa=b finite:11;idempotents:1,baa,aaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=aaa,bb=baa [00m16s] from: 5067 ab:aaa=ab,bbaa=b finite:11;idempotents:1,baa,aaaa to: 5061 ab:aaa=ab,baab=b finite:11;idempotents:1,baa,aaaa a=a,b=b [00m16s] # 5068 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:2,work:321,nodes:24,pairs:5,completionMax:42us [00m16s] 5068 ab:aaa=ab,bbab=a infinite a/b - - ab:aaaaaaa=a,ab=aaa,bba=aaaaa [00m16s] # 5069 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:1,work:167,nodes:26,pairs:4,completionMax:25us [00m16s] 5069 ab:aaa=ab,bbab=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [00m16s] from: 5069 ab:aaa=ab,bbab=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [00m16s] # 5070 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:71,nodes:22,pairs:1,completionMax:7us [00m16s] 5070 ab:aaa=ab,bbba=a infinite a/b - - ab:aaaaaaaa=aa,ab=aaa,bbba=a [00m16s] # 5071 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:2,work:186,nodes:26,pairs:5,completionMax:31us [00m16s] 5071 ab:aaa=ab,bbba=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [00m16s] from: 5071 ab:aaa=ab,bbba=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [00m16s] # 5072 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:9,work:222,nodes:24,pairs:3,completionMax:21us [00m16s] 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbb=bbbbb,a=bbbb [00m16s] # 5073 solved: rounds:1,rules:3,peak:3,longest:9,steps:3,word:3,work:95,nodes:24,pairs:1,completionMax:14us [00m16s] 5073 ab:aaa=ab,bbbb=b finite:36;idempotents:1,bbb,baaaa,aaaaaa,bbbaaaaaa,bbaaaaaaaa a/b - - ab:aaaaaaaaa=aaa,ab=aaa,bbbb=b [00m16s] # 5074 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:71,nodes:14,pairs:3,completionMax:15us [00m16s] 5074 ab:aaa=bb,aaaa=a infinite ab - - ab:aaa=bb,abb=a,bba=a,bbbb=bb [00m16s] from: 5074 ab:aaa=bb,aaaa=a infinite to: 1604 ab:aaa=bb,abb=a infinite a=a,b=b [00m16s] # 5075 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:67,nodes:16,pairs:2,completionMax:13us [00m16s] 5075 ab:aaa=bb,aaaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaa [00m16s] from: 5075 ab:aaa=bb,aaaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaa [00m16s] # 5076 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:99,nodes:18,pairs:3,completionMax:12us [00m16s] 5076 ab:aaa=bb,aaab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbb [00m16s] from: 5076 ab:aaa=bb,aaab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbb,b=b [00m16s] # 5077 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:1,work:116,nodes:18,pairs:2,completionMax:12us [00m16s] 5077 ab:aaa=bb,aaab=b infinite a/b - - ab:aaaaaa=aaa,baaa=b,aaab=b,bb=aaa [00m16s] from: 5077 ab:aaa=bb,aaab=b infinite to: 1609 ab:aaa=bb,bbb=b infinite a=a,b=b [00m16s] # 5078 solved: rounds:2,rules:2,peak:6,longest:9,steps:8,word:4,work:672,nodes:36,pairs:18,completionMax:68us [00m16s] 5078 ab:aaa=bb,aaba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbb [00m16s] from: 5078 ab:aaa=bb,aaba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbb,b=b [00m16s] # 5079 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:0,work:686,nodes:18,pairs:22,completionMax:53us [00m16s] 5079 ab:aaa=bb,aaba=b finite:9;idempotents:1,bb;center:1,a,b,aa,ab,bb,aab,abb,aabb;commutative:ab:b3=b,a3=b2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=bb,bbb=b [00m16s] # 5080 solved: rounds:2,rules:2,peak:6,longest:10,steps:3,word:10,work:540,nodes:20,pairs:25,completionMax:59us [00m16s] 5080 ab:aaa=bb,aabb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbbb [00m16s] from: 5080 ab:aaa=bb,aabb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaaa,b=a [00m16s] # 5081 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:86,nodes:20,pairs:2,completionMax:12us [00m16s] 5081 ab:aaa=bb,aabb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaaaa [00m16s] from: 5081 ab:aaa=bb,aabb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaaa [00m16s] # 5082 solved: rounds:3,rules:2,peak:9,longest:16,steps:7,word:10,work:2021,nodes:50,pairs:28,completionMax:142us [00m16s] 5082 ab:aaa=bb,abab=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbbb [00m16s] from: 5082 ab:aaa=bb,abab=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaaa,b=a [00m16s] # 5083 solved: rounds:2,rules:2,peak:7,longest:12,steps:3,word:4,work:990,nodes:36,pairs:15,completionMax:77us [00m16s] 5083 ab:aaa=bb,abab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaaaa [00m16s] from: 5083 ab:aaa=bb,abab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaaa [00m16s] # 5084 solved: rounds:3,rules:2,peak:6,longest:12,steps:14,word:10,work:977,nodes:36,pairs:14,completionMax:77us [00m16s] 5084 ab:aaa=bb,abba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbbb [00m16s] from: 5084 ab:aaa=bb,abba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaaa,b=a [00m16s] # 5085 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:85,nodes:20,pairs:2,completionMax:11us [00m16s] 5085 ab:aaa=bb,abba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaaaa [00m16s] from: 5085 ab:aaa=bb,abba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaaa [00m16s] # 5086 solved: rounds:2,rules:4,peak:5,longest:10,steps:2,word:5,work:227,nodes:26,pairs:8,completionMax:31us [00m16s] 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaa [00m16s] # 5087 solved: rounds:3,rules:4,peak:6,longest:15,steps:5,word:13,work:460,nodes:22,pairs:17,completionMax:44us [00m16s] 5087 ab:aaa=bb,abbb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aaa=bb [00m16s] # 5088 solved: rounds:2,rules:3,peak:5,longest:16,steps:17,word:12,work:738,nodes:52,pairs:11,completionMax:54us [00m16s] 5088 ab:aaa=bb,baab=a finite:26;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,ab=baaaaa,bb=aaa [00m16s] # 5089 solved: rounds:2,rules:5,peak:5,longest:9,steps:3,word:4,work:240,nodes:28,pairs:4,completionMax:29us [00m16s] 5089 ab:aaa=bb,baab=b infinite b/a - - ab:bbbbbbbbb=bb,abb=bbbbb,bba=bbbbb,baab=b,aaa=bb [00m16s] # 5090 solved: rounds:2,rules:4,peak:5,longest:10,steps:2,word:5,work:234,nodes:22,pairs:9,completionMax:36us [00m16s] 5090 ab:aaa=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaa [00m16s] from: 5090 ab:aaa=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [00m16s] # 5091 solved: rounds:5,rules:4,peak:9,longest:9,steps:5,word:5,work:968,nodes:24,pairs:26,completionMax:93us [00m16s] 5091 ab:aaa=bb,babb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aaa=bb [00m16s] from: 5091 ab:aaa=bb,babb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 to: 5087 ab:aaa=bb,abbb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 a=a,b=b [00m16s] # 5092 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:122,nodes:24,pairs:3,completionMax:17us [00m16s] 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbb [00m16s] # 5093 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:5,work:104,nodes:24,pairs:2,completionMax:14us [00m16s] 5093 ab:aaa=bb,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [00m16s] from: 5093 ab:aaa=bb,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [00m16s] # 5094 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:8,pairs:1,completionMax:26us [00m16s] 5094 ab:aab=aa,aaaa=a infinite ab - - ab:ab=a,aaaa=a [00m16s] from: 5094 ab:aab=aa,aaaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [00m16s] # 5095 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:1,completionMax:6us [00m16s] 5095 ab:aab=aa,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [00m16s] from: 5095 ab:aab=aa,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m16s] # 5096 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:6,pairs:1,completionMax:5us [00m16s] 5096 ab:aab=aa,aaab=a infinite ab - - ab:ab=a,aaa=a [00m16s] from: 5096 ab:aab=aa,aaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m16s] # 5097 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:10,pairs:1,completionMax:7us [00m16s] 5097 ab:aab=aa,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [00m16s] from: 5097 ab:aab=aa,aaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [00m16s] # 5098 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:7us [00m16s] 5098 ab:aab=aa,aaba=a infinite ab - - ab:ab=a,aaa=a [00m16s] from: 5098 ab:aab=aa,aaba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m16s] # 5099 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:1,completionMax:6us [00m16s] 5099 ab:aab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [00m16s] from: 5099 ab:aab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [00m16s] # 5100 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:8us [00m16s] 5100 ab:aab=aa,aabb=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5100 ab:aab=aa,aabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5101 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:1,completionMax:6us [00m16s] 5101 ab:aab=aa,aabb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m16s] from: 5101 ab:aab=aa,aabb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m16s] # 5102 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:122,nodes:12,pairs:4,completionMax:25us [00m16s] 5102 ab:aab=aa,abaa=a infinite ab - - ab:ab=a,aaa=a [00m16s] from: 5102 ab:aab=aa,abaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m16s] # 5103 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:4,work:365,nodes:18,pairs:18,completionMax:52us [00m16s] 5103 ab:aab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [00m16s] from: 5103 ab:aab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [00m16s] # 5104 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:184,nodes:10,pairs:5,completionMax:26us [00m16s] 5104 ab:aab=aa,abab=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5104 ab:aab=aa,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5105 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:179,nodes:16,pairs:9,completionMax:23us [00m16s] 5105 ab:aab=aa,abab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m16s] from: 5105 ab:aab=aa,abab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m16s] # 5106 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:73,nodes:10,pairs:1,completionMax:9us [00m16s] 5106 ab:aab=aa,abba=a infinite ab - - ab:aaa=aa,aab=aa,abba=a [00m16s] # 5107 solved: rounds:2,rules:2,peak:5,longest:4,steps:7,word:2,work:358,nodes:20,pairs:13,completionMax:40us [00m16s] 5107 ab:aab=aa,abba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m16s] from: 5107 ab:aab=aa,abba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m16s] # 5108 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:6,nodes:10,pairs:0,completionMax:1us [00m16s] 5108 ab:aab=aa,abbb=a infinite ab - - ab:aab=aa,abbb=a [00m16s] # 5109 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:10,pairs:3,completionMax:9us [00m16s] 5109 ab:aab=aa,abbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [00m16s] from: 5109 ab:aab=aa,abbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [00m16s] # 5110 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:173,nodes:16,pairs:7,completionMax:23us [00m16s] 5110 ab:aab=aa,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [00m16s] from: 5110 ab:aab=aa,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [00m16s] # 5111 solved: rounds:1,rules:5,peak:5,longest:5,steps:1,word:0,work:112,nodes:16,pairs:3,completionMax:21us [00m16s] 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa ab - - ab:bb=b,aab=aa,bab=ba,baaa=b,aaaaa=aa [00m16s] # 5112 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:244,nodes:12,pairs:6,completionMax:25us [00m16s] 5112 ab:aab=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5112 ab:aab=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5113 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:106,nodes:12,pairs:3,completionMax:9us [00m16s] 5113 ab:aab=aa,baab=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [00m16s] from: 5113 ab:aab=aa,baab=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [00m16s] # 5114 solved: rounds:5,rules:3,peak:6,longest:4,steps:5,word:0,work:626,nodes:18,pairs:10,completionMax:59us [00m16s] 5114 ab:aab=aa,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5114 ab:aab=aa,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5115 solved: rounds:2,rules:5,peak:6,longest:4,steps:1,word:0,work:190,nodes:16,pairs:7,completionMax:37us [00m16s] 5115 ab:aab=aa,baba=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [00m16s] from: 5115 ab:aab=aa,baba=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [00m16s] # 5116 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:3,completionMax:13us [00m16s] 5116 ab:aab=aa,babb=a infinite ab - - ab:aab=aa,baa=aa,baba=aa,babb=a [00m16s] # 5117 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:9us [00m16s] 5117 ab:aab=aa,babb=b infinite ab - - ab:aaa=aa,aab=aa,babb=b [00m16s] # 5118 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:257,nodes:14,pairs:6,completionMax:28us [00m16s] 5118 ab:aab=aa,bbaa=a infinite ab - - ab:aa=a,ab=a,bba=a [00m16s] from: 5118 ab:aab=aa,bbaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [00m16s] # 5119 solved: rounds:2,rules:5,peak:5,longest:4,steps:1,word:0,work:141,nodes:16,pairs:6,completionMax:19us [00m16s] 5119 ab:aab=aa,bbaa=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [00m16s] from: 5119 ab:aab=aa,bbaa=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [00m16s] # 5120 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:340,nodes:18,pairs:4,completionMax:28us [00m16s] 5120 ab:aab=aa,bbab=a infinite ab - - ab:aab=aa,bbaa=abab,bbab=a,ababa=abaa,ababb=abab [00m16s] # 5121 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:8us [00m16s] 5121 ab:aab=aa,bbab=b infinite ab - - ab:aaa=aa,aab=aa,bbab=b [00m16s] # 5122 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:12,pairs:0,completionMax:2us [00m16s] 5122 ab:aab=aa,bbba=a infinite ab - - ab:aab=aa,bbba=a [00m16s] # 5123 solved: rounds:3,rules:4,peak:6,longest:4,steps:2,word:0,work:232,nodes:14,pairs:8,completionMax:31us [00m16s] 5123 ab:aab=aa,bbba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [00m16s] from: 5123 ab:aab=aa,bbba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [00m16s] # 5124 solved: rounds:1,rules:2,peak:2,longest:9,steps:8,word:6,work:675,nodes:18,pairs:2,completionMax:12us [00m16s] 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: b/a - - ab:bbbbbbbbb=bbbbbbbb,a=bbbb [00m16s] # 5125 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:20,nodes:12,pairs:0,completionMax:4us [00m16s] 5125 ab:aab=aa,bbbb=b infinite ab - - ab:aab=aa,bbbb=b [00m16s] # 5126 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [00m16s] 5126 ab:aab=ab,aaaa=a infinite ab - - ab:aab=ab,aaaa=a [00m16s] # 5127 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:3,work:182,nodes:12,pairs:1,completionMax:8us [00m16s] 5127 ab:aab=ab,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaaa [00m16s] from: 5127 ab:aab=ab,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbbb [00m16s] # 5128 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:1,completionMax:4us [00m16s] 5128 ab:aab=ab,aaab=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5128 ab:aab=ab,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5129 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:2us [00m16s] 5129 ab:aab=ab,aaab=b infinite ab - - ab:ab=b [00m16s] from: 5129 ab:aab=ab,aaab=b infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [00m16s] # 5130 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:36,nodes:8,pairs:1,completionMax:12us [00m16s] 5130 ab:aab=ab,aaba=a infinite ab - - ab:aa=a,aba=a [00m16s] from: 5130 ab:aab=ab,aaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m16s] # 5131 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:42,nodes:12,pairs:4,completionMax:16us [00m16s] 5131 ab:aab=ab,aaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [00m16s] from: 5131 ab:aab=ab,aaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [00m16s] # 5132 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:5us [00m16s] 5132 ab:aab=ab,aabb=a infinite ab - - ab:aa=a,abb=a [00m16s] from: 5132 ab:aab=ab,aabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [00m16s] # 5133 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:5us [00m16s] 5133 ab:aab=ab,aabb=b infinite ab - - ab:ab=b,bb=b [00m16s] from: 5133 ab:aab=ab,aabb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [00m16s] # 5134 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:102,nodes:10,pairs:4,completionMax:28us [00m16s] 5134 ab:aab=ab,abaa=a infinite ab - - ab:aa=a,aba=a [00m16s] from: 5134 ab:aab=ab,abaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [00m16s] # 5135 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:16,pairs:5,completionMax:13us [00m16s] 5135 ab:aab=ab,abaa=b infinite ab - - ab:ab=b,baa=b [00m16s] from: 5135 ab:aab=ab,abaa=b infinite to: 1677 ab:aba=ba,baa=b infinite a=a,b=b [00m16s] # 5136 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:83,nodes:10,pairs:7,completionMax:19us [00m16s] 5136 ab:aab=ab,abab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m16s] from: 5136 ab:aab=ab,abab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m16s] # 5137 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:28,nodes:10,pairs:4,completionMax:8us [00m16s] 5137 ab:aab=ab,abab=b infinite ab - - ab:ab=b,bb=b [00m16s] from: 5137 ab:aab=ab,abab=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [00m16s] # 5138 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:39,nodes:10,pairs:1,completionMax:6us [00m16s] 5138 ab:aab=ab,abba=a infinite ab - - ab:aa=a,abba=a [00m16s] from: 5138 ab:aab=ab,abba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [00m16s] # 5139 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:182,nodes:16,pairs:13,completionMax:35us [00m16s] 5139 ab:aab=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m16s] from: 5139 ab:aab=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m16s] # 5140 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:10,pairs:1,completionMax:5us [00m16s] 5140 ab:aab=ab,abbb=a infinite ab - - ab:aa=a,abbb=a [00m16s] from: 5140 ab:aab=ab,abbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [00m16s] # 5141 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:10,pairs:2,completionMax:8us [00m16s] 5141 ab:aab=ab,abbb=b infinite ab - - ab:ab=b,bbb=b [00m16s] from: 5141 ab:aab=ab,abbb=b infinite to: 1693 ab:abb=bb,bbb=b infinite a=a,b=b [00m16s] # 5142 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:162,nodes:12,pairs:5,completionMax:20us [00m16s] 5142 ab:aab=ab,baaa=a infinite ab - - ab:aa=a,ba=a [00m16s] from: 5142 ab:aab=ab,baaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [00m16s] # 5143 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:41,nodes:12,pairs:2,completionMax:6us [00m16s] 5143 ab:aab=ab,baaa=b infinite ab - - ab:aab=ab,bab=bb,baaa=b [00m16s] # 5144 solved: rounds:3,rules:3,peak:7,longest:3,steps:3,word:0,work:308,nodes:12,pairs:9,completionMax:32us [00m16s] 5144 ab:aab=ab,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5144 ab:aab=ab,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5145 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:1us [00m16s] 5145 ab:aab=ab,baab=b infinite ab - - ab:aab=ab,bab=b [00m16s] from: 5145 ab:aab=ab,baab=b infinite to: 1629 ab:aab=ab,bab=b infinite a=a,b=b [00m16s] # 5146 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:399,nodes:18,pairs:16,completionMax:43us [00m16s] 5146 ab:aab=ab,baba=a infinite ab - - ab:aa=a,aba=ba,bba=a [00m16s] from: 5146 ab:aab=ab,baba=a infinite to: 888 ab:aa=a,abab=a infinite anti:a=a,b=b [00m16s] # 5147 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:142,nodes:14,pairs:8,completionMax:25us [00m16s] 5147 ab:aab=ab,baba=b infinite ab - - ab:ba=b,bb=b,aab=ab [00m16s] from: 5147 ab:aab=ab,baba=b infinite to: 1631 ab:aab=ab,bba=b infinite a=a,b=b [00m16s] # 5148 solved: rounds:3,rules:3,peak:10,longest:7,steps:5,word:6,work:1415,nodes:22,pairs:45,completionMax:144us [00m16s] 5148 ab:aab=ab,babb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [00m16s] from: 5148 ab:aab=ab,babb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [00m16s] # 5149 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [00m16s] 5149 ab:aab=ab,babb=b infinite ab - - ab:aab=ab,babb=b [00m16s] # 5150 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:144,nodes:12,pairs:5,completionMax:15us [00m16s] 5150 ab:aab=ab,bbaa=a infinite ab - - ab:aa=a,bba=a [00m16s] from: 5150 ab:aab=ab,bbaa=a infinite to: 241 ab:aa=a,abb=a infinite anti:a=a,b=b [00m16s] # 5151 solved: rounds:3,rules:4,peak:5,longest:4,steps:2,word:0,work:192,nodes:14,pairs:7,completionMax:21us [00m16s] 5151 ab:aab=ab,bbaa=b infinite ab - - ab:bb=b,aab=ab,baa=b,bab=b [00m16s] # 5152 solved: rounds:5,rules:3,peak:11,longest:7,steps:10,word:5,work:1432,nodes:22,pairs:34,completionMax:122us [00m16s] 5152 ab:aab=ab,bbab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aa=a [00m16s] from: 5152 ab:aab=ab,bbab=a infinite to: 896 ab:aa=a,babb=a infinite anti:a=a,b=b [00m16s] # 5153 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [00m16s] 5153 ab:aab=ab,bbab=b infinite ab - - ab:aab=ab,bbab=b [00m16s] # 5154 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:13us [00m16s] 5154 ab:aab=ab,bbba=a infinite ab - - ab:aaa=aa,aab=ab,bbba=a [00m16s] # 5155 solved: rounds:4,rules:3,peak:6,longest:4,steps:2,word:0,work:235,nodes:14,pairs:10,completionMax:47us [00m16s] 5155 ab:aab=ab,bbba=b infinite ab - - ab:ba=b,aab=ab,bbb=b [00m16s] # 5156 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:3,work:125,nodes:18,pairs:2,completionMax:15us [00m16s] 5156 ab:aab=ab,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbbb=bbbbb,a=bbbb [00m16s] from: 5156 ab:aab=ab,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=bbbb,b=b [00m16s] # 5157 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:4us [00m16s] 5157 ab:aab=ab,bbbb=b infinite ab - - ab:aab=ab,bbbb=b [00m16s] # 5158 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:1,work:45,nodes:8,pairs:2,completionMax:9us [00m16s] 5158 ab:aab=ba,aaaa=a infinite a/b - - ab:aaaa=a,ab=baa [00m16s] # 5159 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:3,work:181,nodes:12,pairs:1,completionMax:9us [00m16s] 5159 ab:aab=ba,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaaa [00m16s] from: 5159 ab:aab=ba,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbbb [00m16s] # 5160 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:292,nodes:14,pairs:15,completionMax:37us [00m16s] 5160 ab:aab=ba,aaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5160 ab:aab=ba,aaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5161 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:1,work:60,nodes:10,pairs:6,completionMax:13us [00m16s] 5161 ab:aab=ba,aaab=b infinite a/b - - ab:baaa=b,ab=baa [00m16s] from: 5161 ab:aab=ba,aaab=b infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [00m16s] # 5162 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:316,nodes:14,pairs:12,completionMax:35us [00m16s] 5162 ab:aab=ba,aaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5162 ab:aab=ba,aaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5163 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:1,work:35,nodes:12,pairs:0,completionMax:4us [00m16s] 5163 ab:aab=ba,aaba=b infinite reversed:a/b - - ab:aaaab=b,ba=aab [00m16s] from: 5163 ab:aab=ba,aaba=b infinite to: 1639 ab:aab=ba,baa=b infinite a=a,b=b [00m16s] # 5164 solved: rounds:4,rules:3,peak:6,longest:3,steps:4,word:0,work:272,nodes:14,pairs:15,completionMax:38us [00m16s] 5164 ab:aab=ba,aabb=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5164 ab:aab=ba,aabb=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5165 solved: rounds:3,rules:3,peak:5,longest:3,steps:2,word:0,work:144,nodes:12,pairs:6,completionMax:20us [00m16s] 5165 ab:aab=ba,aabb=b infinite ab - - ab:ba=b,bb=b,aab=b [00m16s] from: 5165 ab:aab=ba,aabb=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m16s] # 5166 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:1566,nodes:22,pairs:30,completionMax:111us [00m16s] 5166 ab:aab=ba,abaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5166 ab:aab=ba,abaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5167 solved: rounds:2,rules:2,peak:4,longest:7,steps:7,word:3,work:222,nodes:24,pairs:6,completionMax:27us [00m16s] 5167 ab:aab=ba,abaa=b infinite a/b - - ab:baaaaa=b,ab=baaa [00m16s] # 5168 solved: rounds:5,rules:3,peak:7,longest:4,steps:3,word:0,work:407,nodes:14,pairs:20,completionMax:43us [00m16s] 5168 ab:aab=ba,abab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5168 ab:aab=ba,abab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5169 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:277,nodes:16,pairs:11,completionMax:24us [00m16s] 5169 ab:aab=ba,abab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m16s] from: 5169 ab:aab=ba,abab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m16s] # 5170 solved: rounds:4,rules:3,peak:11,longest:6,steps:3,word:0,work:1254,nodes:22,pairs:52,completionMax:126us [00m16s] 5170 ab:aab=ba,abba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5170 ab:aab=ba,abba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5171 solved: rounds:2,rules:3,peak:8,longest:4,steps:9,word:0,work:632,nodes:20,pairs:18,completionMax:61us [00m16s] 5171 ab:aab=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m16s] from: 5171 ab:aab=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m16s] # 5172 solved: rounds:1,rules:3,peak:3,longest:9,steps:10,word:6,work:163,nodes:24,pairs:1,completionMax:34us [00m16s] 5172 ab:aab=ba,abbb=a infinite reversed:a/b - - ab:aaaaaaaaa=aa,ba=aab,abbb=a [00m16s] # 5173 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:445,nodes:20,pairs:16,completionMax:47us [00m16s] 5173 ab:aab=ba,abbb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [00m16s] from: 5173 ab:aab=ba,abbb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [00m16s] # 5174 solved: rounds:2,rules:3,peak:8,longest:4,steps:4,word:0,work:433,nodes:18,pairs:17,completionMax:48us [00m16s] 5174 ab:aab=ba,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5174 ab:aab=ba,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5175 solved: rounds:0,rules:2,peak:2,longest:7,steps:7,word:3,work:62,nodes:16,pairs:0,completionMax:6us [00m16s] 5175 ab:aab=ba,baaa=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aab [00m16s] # 5176 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:487,nodes:22,pairs:10,completionMax:63us [00m16s] 5176 ab:aab=ba,baab=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [00m16s] from: 5176 ab:aab=ba,baab=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [00m16s] # 5177 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:74,nodes:12,pairs:6,completionMax:9us [00m16s] 5177 ab:aab=ba,baab=b infinite ab - - ab:ba=b,bb=b,aab=b [00m16s] from: 5177 ab:aab=ba,baab=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m16s] # 5178 solved: rounds:2,rules:3,peak:9,longest:5,steps:5,word:0,work:587,nodes:16,pairs:13,completionMax:44us [00m16s] 5178 ab:aab=ba,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5178 ab:aab=ba,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5179 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:153,nodes:14,pairs:5,completionMax:15us [00m16s] 5179 ab:aab=ba,baba=b infinite ab - - ab:ba=b,bb=b,aab=b [00m16s] from: 5179 ab:aab=ba,baba=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m16s] # 5180 solved: rounds:3,rules:3,peak:7,longest:4,steps:5,word:0,work:467,nodes:18,pairs:20,completionMax:33us [00m16s] 5180 ab:aab=ba,babb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [00m16s] from: 5180 ab:aab=ba,babb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [00m16s] # 5181 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:566,nodes:16,pairs:11,completionMax:31us [00m16s] 5181 ab:aab=ba,babb=b infinite ab - - ab:ba=b,aab=b,bbb=b [00m16s] # 5182 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1118,nodes:32,pairs:37,completionMax:101us [00m16s] 5182 ab:aab=ba,bbaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5182 ab:aab=ba,bbaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5183 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:0,work:1162,nodes:22,pairs:19,completionMax:87us [00m16s] 5183 ab:aab=ba,bbaa=b infinite ab - - ab:ba=b,bb=b,aab=b [00m16s] from: 5183 ab:aab=ba,bbaa=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m16s] # 5184 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:2690,nodes:30,pairs:81,completionMax:232us [00m16s] 5184 ab:aab=ba,bbab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [00m16s] from: 5184 ab:aab=ba,bbab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [00m16s] # 5185 solved: rounds:4,rules:3,peak:6,longest:5,steps:5,word:0,work:738,nodes:18,pairs:20,completionMax:59us [00m16s] 5185 ab:aab=ba,bbab=b infinite ab - - ab:ba=b,aab=b,bbb=b [00m16s] from: 5185 ab:aab=ba,bbab=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [00m16s] # 5186 solved: rounds:5,rules:3,peak:7,longest:11,steps:9,word:3,work:1461,nodes:42,pairs:14,completionMax:121us [00m16s] 5186 ab:aab=ba,bbba=a infinite a/b - - ab:aaaaaaaa=a,ab=baaaa,bbba=a [00m16s] # 5187 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:66,nodes:14,pairs:4,completionMax:15us [00m16s] 5187 ab:aab=ba,bbba=b infinite ab - - ab:ba=b,aab=b,bbb=b [00m16s] from: 5187 ab:aab=ba,bbba=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [00m16s] # 5188 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:3,work:127,nodes:18,pairs:2,completionMax:14us [00m16s] 5188 ab:aab=ba,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbbb=bbbbb,a=bbbb [00m16s] from: 5188 ab:aab=ba,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=bbbb,b=b [00m16s] # 5189 solved: rounds:1,rules:3,peak:3,longest:17,steps:17,word:14,work:353,nodes:40,pairs:1,completionMax:19us [00m16s] 5189 ab:aab=ba,bbbb=b infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaab=aab,ba=aab,bbbb=b [00m16s] # 5190 solved: rounds:1,rules:3,peak:4,longest:5,steps:3,word:1,work:75,nodes:16,pairs:2,completionMax:15us [00m16s] 5190 ab:aab=bb,aaaa=a finite:20;idempotents:1,aaa,bbb,bbaa,bbbba,bbbaaa b/a - - ab:bbbbb=bb,ab=bbb,aaaa=a [00m16s] # 5191 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:6,work:230,nodes:16,pairs:2,completionMax:15us [00m16s] 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaaa [00m16s] # 5192 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:219,nodes:18,pairs:10,completionMax:40us [00m16s] 5192 ab:aab=bb,aaab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5192 ab:aab=bb,aaab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5193 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:24,nodes:10,pairs:3,completionMax:12us [00m16s] 5193 ab:aab=bb,aaab=b infinite b/a - - ab:bbbb=b,ab=bbb [00m16s] from: 5193 ab:aab=bb,aaab=b infinite to: 1586 ab:aaa=ab,aab=a infinite anti:a=b,b=a [00m16s] # 5194 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:218,nodes:22,pairs:11,completionMax:37us [00m16s] 5194 ab:aab=bb,aaba=a finite:10;idempotents:1,aab,aaaa a/b - - ab:aaaaa=a,ba=aaa,bb=aab [00m16s] from: 5194 ab:aab=bb,aaba=a finite:10;idempotents:1,aab,aaaa to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=a,b=b [00m16s] # 5195 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:222,nodes:16,pairs:6,completionMax:30us [00m16s] 5195 ab:aab=bb,aaba=b infinite b/a - - ab:bbbb=b,ba=bbb,aab=bb [00m16s] from: 5195 ab:aab=bb,aaba=b infinite to: 1655 ab:aab=bb,bba=b infinite a=a,b=b [00m16s] # 5196 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:43,nodes:14,pairs:2,completionMax:11us [00m16s] 5196 ab:aab=bb,aabb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5196 ab:aab=bb,aabb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5197 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:4us [00m16s] 5197 ab:aab=bb,aabb=b infinite ab - - ab:aab=bb,bbb=b [00m16s] from: 5197 ab:aab=bb,aabb=b infinite to: 1657 ab:aab=bb,bbb=b infinite a=a,b=b [00m16s] # 5198 solved: rounds:4,rules:3,peak:5,longest:6,steps:2,word:1,work:357,nodes:22,pairs:15,completionMax:58us [00m16s] 5198 ab:aab=bb,abaa=a finite:10;idempotents:1,aab,aaaa a/b - - ab:aaaaa=a,ba=aaa,bb=aab [00m16s] from: 5198 ab:aab=bb,abaa=a finite:10;idempotents:1,aab,aaaa to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=a,b=b [00m16s] # 5199 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:2,work:506,nodes:20,pairs:25,completionMax:73us [00m16s] 5199 ab:aab=bb,abaa=b infinite b/a - - ab:bbbb=b,ab=bbb,baa=bb [00m16s] from: 5199 ab:aab=bb,abaa=b infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=a,b=b [00m16s] # 5200 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:170,nodes:18,pairs:14,completionMax:36us [00m16s] 5200 ab:aab=bb,abab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5200 ab:aab=bb,abab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5201 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:148,nodes:16,pairs:7,completionMax:30us [00m16s] 5201 ab:aab=bb,abab=b infinite ab - - ab:aab=bb,bab=abb,bbb=b [00m16s] # 5202 solved: rounds:4,rules:3,peak:9,longest:8,steps:3,word:1,work:960,nodes:34,pairs:25,completionMax:100us [00m16s] 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [00m16s] # 5203 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:411,nodes:18,pairs:21,completionMax:47us [00m16s] 5203 ab:aab=bb,abba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [00m16s] from: 5203 ab:aab=bb,abba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5204 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:2,work:190,nodes:22,pairs:8,completionMax:31us [00m16s] 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] # 5205 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:28,nodes:14,pairs:3,completionMax:10us [00m16s] 5205 ab:aab=bb,abbb=b infinite b/a - - ab:bbbbbb=b,ab=bbbb [00m16s] # 5206 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:35,nodes:12,pairs:3,completionMax:11us [00m16s] 5206 ab:aab=bb,baaa=a finite:10;idempotents:1,aab,aaaa a/b - - ab:aaaaa=a,ba=aaa,bb=aab [00m16s] from: 5206 ab:aab=bb,baaa=a finite:10;idempotents:1,aab,aaaa to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=a,b=b [00m16s] # 5207 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:136,nodes:18,pairs:2,completionMax:16us [00m16s] 5207 ab:aab=bb,baaa=b infinite b/a - - ab:bbbbb=bb,bab=bbbb,aab=bb,baaa=b [00m16s] # 5208 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:44,nodes:14,pairs:2,completionMax:12us [00m16s] 5208 ab:aab=bb,baab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5208 ab:aab=bb,baab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5209 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [00m16s] 5209 ab:aab=bb,baab=b infinite ab - - ab:aab=bb,bbb=b [00m16s] from: 5209 ab:aab=bb,baab=b infinite to: 1657 ab:aab=bb,bbb=b infinite a=a,b=b [00m16s] # 5210 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:56,nodes:14,pairs:5,completionMax:19us [00m16s] 5210 ab:aab=bb,baba=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [00m16s] from: 5210 ab:aab=bb,baba=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [00m16s] # 5211 solved: rounds:4,rules:4,peak:5,longest:5,steps:4,word:0,work:424,nodes:18,pairs:10,completionMax:59us [00m16s] 5211 ab:aab=bb,baba=b infinite ba - - ab:bbb=b,bab=bba,baa=bb,aab=bb [00m16s] # 5212 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:7,work:239,nodes:18,pairs:13,completionMax:36us [00m16s] 5212 ab:aab=bb,babb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5212 ab:aab=bb,babb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [00m16s] # 5213 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [00m16s] 5213 ab:aab=bb,babb=b infinite ab - - ab:aab=bb,babb=b [00m16s] # 5214 solved: rounds:3,rules:3,peak:6,longest:7,steps:3,word:1,work:522,nodes:28,pairs:18,completionMax:61us [00m16s] 5214 ab:aab=bb,bbaa=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [00m16s] from: 5214 ab:aab=bb,bbaa=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [00m16s] # 5215 solved: rounds:3,rules:3,peak:7,longest:7,steps:3,word:1,work:581,nodes:28,pairs:13,completionMax:61us [00m16s] 5215 ab:aab=bb,bbaa=b infinite a/b - - ab:baaaa=b,aab=baa,bb=baa [00m16s] # 5216 solved: rounds:3,rules:4,peak:8,longest:13,steps:2,word:8,work:1285,nodes:40,pairs:23,completionMax:108us [00m16s] 5216 ab:aab=bb,bbab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5216 ab:aab=bb,bbab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [00m16s] # 5217 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [00m16s] 5217 ab:aab=bb,bbab=b infinite ab - - ab:aab=bb,bbab=b [00m16s] # 5218 solved: rounds:4,rules:3,peak:7,longest:9,steps:2,word:2,work:605,nodes:34,pairs:13,completionMax:60us [00m16s] 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [00m16s] # 5219 solved: rounds:4,rules:3,peak:6,longest:7,steps:2,word:2,work:358,nodes:20,pairs:8,completionMax:44us [00m16s] 5219 ab:aab=bb,bbba=b infinite b/a - - ab:bbbbbb=b,ba=bbbb,aab=bb [00m16s] # 5220 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:51,nodes:18,pairs:2,completionMax:9us [00m16s] 5220 ab:aab=bb,bbbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [00m16s] from: 5220 ab:aab=bb,bbbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [00m16s] # 5221 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [00m16s] 5221 ab:aab=bb,bbbb=b infinite ab - - ab:aab=bb,bbbb=b [00m16s] # 5222 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:10,pairs:0,completionMax:3us [00m16s] 5222 ab:aba=aa,aaaa=a infinite ab - - ab:aba=aa,aaaa=a [00m16s] # 5223 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:31,nodes:12,pairs:1,completionMax:10us [00m16s] 5223 ab:aba=aa,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [00m16s] from: 5223 ab:aba=aa,aaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [00m16s] # 5224 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:172,nodes:10,pairs:9,completionMax:29us [00m16s] 5224 ab:aba=aa,aaab=a infinite ab - - ab:ab=a,aaa=a [00m16s] from: 5224 ab:aba=aa,aaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [00m16s] # 5225 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:2,work:173,nodes:14,pairs:8,completionMax:40us [00m16s] 5225 ab:aba=aa,aaab=b finite:8;idempotents:1,b,aaa a/b - - ab:aaaaa=aa,ba=aaaa,aaab=b,bb=b [00m16s] # 5226 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:35,nodes:8,pairs:0,completionMax:6us [00m16s] 5226 ab:aba=aa,aaba=a infinite ab - - ab:aaa=a,aba=aa [00m16s] from: 5226 ab:aba=aa,aaba=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [00m16s] # 5227 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:31,nodes:10,pairs:1,completionMax:7us [00m16s] 5227 ab:aba=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [00m16s] from: 5227 ab:aba=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [00m16s] # 5228 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [00m16s] 5228 ab:aba=aa,aabb=a infinite ab - - ab:aba=aa,aabb=a [00m16s] # 5229 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:1,work:151,nodes:10,pairs:10,completionMax:21us [00m16s] 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [00m16s] # 5230 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:124,nodes:8,pairs:6,completionMax:20us [00m16s] 5230 ab:aba=aa,abab=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5230 ab:aba=aa,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5231 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:160,nodes:12,pairs:10,completionMax:40us [00m16s] 5231 ab:aba=aa,abab=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [00m16s] from: 5231 ab:aba=aa,abab=b finite:6;idempotents:1,b,aa to: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a=a,b=b [00m16s] # 5232 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:3us [00m16s] 5232 ab:aba=aa,abba=a infinite ab - - ab:aba=aa,abba=a [00m16s] # 5233 solved: rounds:2,rules:2,peak:5,longest:4,steps:11,word:2,work:423,nodes:14,pairs:10,completionMax:31us [00m16s] 5233 ab:aba=aa,abba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [00m16s] from: 5233 ab:aba=aa,abba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [00m16s] # 5234 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [00m16s] 5234 ab:aba=aa,abbb=a infinite ab - - ab:aba=aa,abbb=a [00m16s] # 5235 solved: rounds:3,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:8,pairs:5,completionMax:14us [00m16s] 5235 ab:aba=aa,abbb=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [00m16s] from: 5235 ab:aba=aa,abbb=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [00m16s] # 5236 solved: rounds:4,rules:3,peak:8,longest:4,steps:4,word:0,work:822,nodes:16,pairs:42,completionMax:102us [00m16s] 5236 ab:aba=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5236 ab:aba=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5237 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:153,nodes:16,pairs:5,completionMax:20us [00m16s] 5237 ab:aba=aa,baab=b infinite ab - - ab:aba=aa,aaaa=aa,aaab=ab,baaa=ba,baab=b [00m16s] # 5238 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:65,nodes:16,pairs:2,completionMax:9us [00m16s] 5238 ab:aba=aa,babb=a infinite ab - - ab:aba=aa,baa=aa,aabb=aa,babb=a [00m16s] # 5239 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:16,pairs:1,completionMax:5us [00m16s] 5239 ab:aba=aa,babb=b infinite ab - - ab:aba=aa,aabb=ab,babb=b [00m16s] # 5240 solved: rounds:1,rules:2,peak:2,longest:9,steps:8,word:9,work:709,nodes:18,pairs:2,completionMax:16us [00m16s] 5240 ab:aba=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: b/a - - ab:bbbbbbbbb=bbbbbbbb,a=bbbb [00m16s] from: 5240 ab:aba=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: to: 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: a=bbbb,b=b [00m16s] # 5241 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [00m16s] 5241 ab:aba=aa,bbbb=b infinite ab - - ab:aba=aa,bbbb=b [00m16s] # 5242 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:85,nodes:15,pairs:6,completionMax:17us [00m16s] 5242 ab:aba=ab,aaaa=a infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaaa=a,aaac=c [00m16s] # 5243 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:5,work:208,nodes:12,pairs:1,completionMax:7us [00m16s] 5243 ab:aba=ab,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaaa [00m16s] from: 5243 ab:aba=ab,aaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a4;saturation::;noncancellative:aaaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbbb [00m16s] # 5244 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:93,nodes:10,pairs:6,completionMax:14us [00m16s] 5244 ab:aba=ab,aaab=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5244 ab:aba=ab,aaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5245 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:12,pairs:2,completionMax:6us [00m16s] 5245 ab:aba=ab,aaab=b infinite ab - - ab:ba=b,aaab=b [00m16s] from: 5245 ab:aba=ab,aaab=b infinite to: 948 ab:ab=a,bbba=a infinite a=b,b=a [00m16s] # 5246 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:83,nodes:8,pairs:5,completionMax:10us [00m16s] 5246 ab:aba=ab,aaba=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5246 ab:aba=ab,aaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5247 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:4us [00m16s] 5247 ab:aba=ab,aaba=b infinite ab - - ab:ba=b,aab=b [00m16s] from: 5247 ab:aba=ab,aaba=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [00m16s] # 5248 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:161,nodes:12,pairs:6,completionMax:20us [00m16s] 5248 ab:aba=ab,aabb=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m16s] from: 5248 ab:aba=ab,aabb=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m16s] # 5249 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:228,nodes:14,pairs:5,completionMax:31us [00m16s] 5249 ab:aba=ab,aabb=b infinite ab - - ab:ba=b,bb=b,aab=b [00m16s] from: 5249 ab:aba=ab,aabb=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [00m16s] # 5250 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:2,completionMax:5us [00m16s] 5250 ab:aba=ab,abaa=a infinite ab - - ab:aa=a,ab=a [00m16s] from: 5250 ab:aba=ab,abaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [00m16s] # 5251 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:2,completionMax:6us [00m16s] 5251 ab:aba=ab,abaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [00m16s] from: 5251 ab:aba=ab,abaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [00m16s] # 5252 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:38,nodes:6,pairs:1,completionMax:5us [00m16s] 5252 ab:aba=ab,abab=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m16s] from: 5252 ab:aba=ab,abab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m16s] # 5253 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:62,nodes:8,pairs:3,completionMax:11us [00m16s] 5253 ab:aba=ab,abab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m16s] from: 5253 ab:aba=ab,abab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m16s] # 5254 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:4,completionMax:14us [00m16s] 5254 ab:aba=ab,abba=a infinite ab - - ab:aa=a,aba=ab,abb=a [00m16s] from: 5254 ab:aba=ab,abba=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [00m16s] # 5255 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:196,nodes:12,pairs:17,completionMax:39us [00m16s] 5255 ab:aba=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [00m16s] from: 5255 ab:aba=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [00m16s] # 5256 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:93,nodes:8,pairs:3,completionMax:9us [00m16s] 5256 ab:aba=ab,abbb=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [00m16s] from: 5256 ab:aba=ab,abbb=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [00m16s] # 5257 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:120,nodes:12,pairs:7,completionMax:19us [00m16s] 5257 ab:aba=ab,abbb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [00m16s] from: 5257 ab:aba=ab,abbb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [00m16s] # 5258 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:263,nodes:16,pairs:9,completionMax:33us [00m16s] 5258 ab:aba=ab,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [00m16s] from: 5258 ab:aba=ab,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [00m16s] # 5259 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:30,nodes:14,pairs:2,completionMax:6us [00m16s] 5259 ab:aba=ab,baaa=b infinite ab - - ab:aba=ab,bba=bb,baaa=b [00m16s] # 5260 solved: rounds:1,rules:3,peak:5,longest:4,steps:4,word:0,work:125,nodes:12,pairs:4,completionMax:14us [00m16s] 5260 ab:aba=ab,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5260 ab:aba=ab,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5261 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:98,nodes:12,pairs:6,completionMax:12us [00m16s] 5261 ab:aba=ab,baab=b infinite ab - - ab:ba=b,bb=b [00m16s] from: 5261 ab:aba=ab,baab=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [00m16s] # 5262 solved: rounds:1,rules:3,peak:5,longest:3,steps:3,word:0,work:103,nodes:10,pairs:4,completionMax:10us [00m16s] 5262 ab:aba=ab,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [00m16s] from: 5262 ab:aba=ab,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [00m16s] # 5263 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:87,nodes:10,pairs:6,completionMax:10us [00m16s] 5263 ab:aba=ab,baba=b infinite ab - - ab:ba=b,bb=b [00m16s] from: 5263 ab:aba=ab,baba=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [00m16s] # 5264 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:313,nodes:18,pairs:13,completionMax:28us [00m16s] 5264 ab:aba=ab,babb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [00m16s] from: 5264 ab:aba=ab,babb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [00m16s] # 5265 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:7,completionMax:19us [00m16s] 5265 ab:aba=ab,babb=b infinite ab - - ab:ba=b,bbb=b [00m16s] from: 5265 ab:aba=ab,babb=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [00m16s] # 5266 solved: rounds:5,rules:4,peak:7,longest:4,steps:3,word:0,work:617,nodes:18,pairs:14,completionMax:43us [00m16s] 5266 ab:aba=ab,bbaa=a infinite ab - - ab:aa=a,aba=ab,abb=a,bba=a [00m16s] # 5267 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:5,completionMax:9us [00m16s] 5267 ab:aba=ab,bbaa=b infinite ab - - ab:ba=b,bb=b [00m16s] from: 5267 ab:aba=ab,bbaa=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [00m16s] # 5268 solved: rounds:3,rules:3,peak:5,longest:7,steps:10,word:5,work:245,nodes:16,pairs:7,completionMax:20us [00m16s] 5268 ab:aba=ab,bbab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aa=a [00m16s] from: 5268 ab:aba=ab,bbab=a infinite to: 896 ab:aa=a,babb=a infinite anti:a=a,b=b [00m16s] # 5269 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:41,nodes:12,pairs:3,completionMax:7us [00m16s] 5269 ab:aba=ab,bbab=b infinite ab - - ab:ba=b,bbb=b [00m16s] from: 5269 ab:aba=ab,bbab=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [00m16s] # 5270 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:2,work:196,nodes:16,pairs:4,completionMax:16us [00m16s] 5270 ab:aba=ab,bbba=a infinite b/a - - ab:abbbb=ab,bbba=a,aa=abbb,aba=ab,abba=abb [00m16s] # 5271 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:46,nodes:12,pairs:5,completionMax:11us [00m16s] 5271 ab:aba=ab,bbba=b infinite ab - - ab:ba=b,bbb=b [00m16s] from: 5271 ab:aba=ab,bbba=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [00m16s] # 5272 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:6,work:141,nodes:18,pairs:2,completionMax:15us [00m16s] 5272 ab:aba=ab,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbbb=bbbbb,a=bbbb [00m16s] from: 5272 ab:aba=ab,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=bbbb,b=b [00m16s] # 5273 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:131,nodes:16,pairs:3,completionMax:12us [00m16s] 5273 ab:aba=ab,bbbb=b infinite ab - - ab:aba=ab,abba=abb,bbbb=b,abbba=abbb [00m16s] # 5274 solved: rounds:5,rules:11,peak:12,longest:12,steps:7,word:4,work:6053,nodes:90,pairs:28,completionMax:287us [00m16s] 5274 ab:aba=bb,aaaa=a infinite b/a - - ab:bbbbbbbbbb=bbbb,babbbbbbbbb=babbb,bbba=abbb,aabbbb=babbbbbbbb,aba=bb,abbabbb=bbabbbbb,baabbb=bbabbbbbbb,bbaabb=abbb,aaabb=bb,bbaaa=bb,aaaa=a [00m16s] # 5275 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:6,work:226,nodes:16,pairs:2,completionMax:12us [00m16s] 5275 ab:aba=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaaa [00m16s] from: 5275 ab:aba=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaaa [00m16s] # 5276 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:214,nodes:18,pairs:10,completionMax:33us [00m16s] 5276 ab:aba=bb,aaab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5276 ab:aba=bb,aaab=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5277 solved: rounds:4,rules:8,peak:8,longest:8,steps:4,word:4,work:1132,nodes:40,pairs:17,completionMax:99us [00m16s] 5277 ab:aba=bb,aaab=b infinite b/a - - ab:bbbbbbbb=bb,babbbbbb=ba,bbba=abbb,aabb=ba,aba=bb,abba=bbabb,baa=bbabbbb,aaab=b [00m16s] # 5278 solved: rounds:4,rules:4,peak:6,longest:5,steps:3,word:2,work:352,nodes:22,pairs:9,completionMax:38us [00m16s] 5278 ab:aba=bb,aaba=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5278 ab:aba=bb,aaba=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5279 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:172,nodes:12,pairs:6,completionMax:23us [00m16s] 5279 ab:aba=bb,aaba=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 b/a - - ab:bbbb=b,ab=bbb,ba=bbb [00m16s] from: 5279 ab:aba=bb,aaba=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=b,b=a [00m16s] # 5280 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:4,work:672,nodes:28,pairs:11,completionMax:55us [00m16s] 5280 ab:aba=bb,aabb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5280 ab:aba=bb,aabb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5281 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:671,nodes:24,pairs:24,completionMax:66us [00m16s] 5281 ab:aba=bb,aabb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [00m16s] from: 5281 ab:aba=bb,aabb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5282 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:49,nodes:14,pairs:2,completionMax:10us [00m16s] 5282 ab:aba=bb,abab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5282 ab:aba=bb,abab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5283 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:72,nodes:10,pairs:2,completionMax:9us [00m16s] 5283 ab:aba=bb,abab=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [00m16s] from: 5283 ab:aba=bb,abab=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5284 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:2,work:447,nodes:22,pairs:21,completionMax:73us [00m16s] 5284 ab:aba=bb,abba=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5284 ab:aba=bb,abba=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5285 solved: rounds:3,rules:3,peak:7,longest:7,steps:6,word:4,work:1003,nodes:28,pairs:18,completionMax:79us [00m16s] 5285 ab:aba=bb,abba=b infinite b/a - - ab:bbbbbbb=b,ba=abbbbb,aab=bbbb [00m16s] # 5286 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:83,nodes:16,pairs:2,completionMax:11us [00m16s] 5286 ab:aba=bb,abbb=a infinite ab - - ab:aba=bb,abbb=a,bbba=a,bbbbb=bb [00m16s] # 5287 solved: rounds:2,rules:3,peak:6,longest:6,steps:2,word:2,work:208,nodes:16,pairs:10,completionMax:25us [00m16s] 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [00m16s] # 5288 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:4,work:1127,nodes:28,pairs:17,completionMax:67us [00m16s] 5288 ab:aba=bb,baab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [00m16s] from: 5288 ab:aba=bb,baab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [00m16s] # 5289 solved: rounds:3,rules:3,peak:12,longest:4,steps:4,word:0,work:1394,nodes:24,pairs:19,completionMax:105us [00m16s] 5289 ab:aba=bb,baab=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [00m16s] from: 5289 ab:aba=bb,baab=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [00m16s] # 5290 solved: rounds:3,rules:4,peak:7,longest:7,steps:5,word:2,work:826,nodes:32,pairs:18,completionMax:71us [00m16s] 5290 ab:aba=bb,babb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [00m16s] from: 5290 ab:aba=bb,babb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [00m16s] # 5291 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:2,work:194,nodes:16,pairs:10,completionMax:28us [00m16s] 5291 ab:aba=bb,babb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [00m16s] from: 5291 ab:aba=bb,babb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [00m16s] # 5292 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:57,nodes:18,pairs:2,completionMax:8us [00m16s] 5292 ab:aba=bb,bbbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [00m16s] from: 5292 ab:aba=bb,bbbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [00m16s] # 5293 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:2,work:226,nodes:21,pairs:16,completionMax:47us [00m16s] 5293 ab:aba=bb,bbbb=b infinite bc/a ba=c frequency:2/1 abc:bbb=cc,bcc=b,ccb=b,ccc=c,ab=bbcb,ac=bb,ba=c,ca=cbbc [00m16s] # 5294 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:6,pairs:0,completionMax:3us [00m16s] 5294 ab:aaa=aa,aab=aa infinite ab - - ab:aaa=aa,aab=aa [00m16s] # 5295 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:6,pairs:0,completionMax:4us [00m16s] 5295 ab:aaa=aa,aab=ab infinite ab - - ab:aaa=aa,aab=ab [00m16s] # 5296 solved: rounds:0,rules:2,peak:2,longest:3,steps:6,word:2,work:54,nodes:6,pairs:0,completionMax:3us [00m16s] 5296 ab:aaa=aa,aab=ba infinite reversed:a/b - - ab:aaa=aa,ba=aab [00m16s] # 5297 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:90,nodes:12,pairs:1,completionMax:6us [00m16s] 5297 ab:aaa=aa,aab=bb infinite a/b - - ab:aaa=aa,bb=aab,baab=aab [00m16s] # 5298 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:56,nodes:8,pairs:0,completionMax:4us [00m16s] 5298 ab:aaa=aa,aba=aa infinite ab - - ab:aaa=aa,aba=aa [00m16s] # 5299 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:100,nodes:12,pairs:5,completionMax:15us [00m16s] 5299 ab:aaa=aa,aba=ab infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaa=aa,aac=ac [00m16s] # 5300 solved: rounds:3,rules:5,peak:5,longest:8,steps:17,word:1,work:1539,nodes:28,pairs:6,completionMax:49us [00m16s] 5300 ab:aaa=aa,aba=bb finite:27;idempotents:1,aa,baabaabaa;center:1,baba,baabaab,aabaabaa,baabaaba,baabaabaa a/b - - ab:aaa=aa,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [00m16s] # 5301 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:3us [00m16s] 5301 ab:aaa=aa,abb=aa infinite ab - - ab:aaa=aa,abb=aa [00m16s] # 5302 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:2us [00m16s] 5302 ab:aaa=aa,abb=ab infinite ab - - ab:aaa=aa,abb=ab [00m16s] # 5303 solved: rounds:1,rules:3,peak:3,longest:10,steps:11,word:7,work:254,nodes:22,pairs:1,completionMax:13us [00m16s] 5303 ab:aaa=aa,abb=ba infinite b/a - - ab:ba=abb,aabbbbbbbb=aabbbb,aaa=aa [00m16s] # 5304 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:8,pairs:0,completionMax:2us [00m16s] 5304 ab:aaa=aa,abb=bb infinite ab - - ab:aaa=aa,abb=bb [00m16s] # 5305 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:264,nodes:12,pairs:3,completionMax:18us [00m16s] 5305 ab:aaa=aa,bab=aa infinite ab - - ab:aaa=aa,baa=aab,bab=aa,aaba=aab,aabb=aa [00m16s] # 5306 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:78,nodes:12,pairs:1,completionMax:7us [00m16s] 5306 ab:aaa=aa,bab=ab infinite ab - - ab:aaa=aa,bab=ab,baab=aab [00m16s] # 5307 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:2us [00m16s] 5307 ab:aaa=aa,bab=bb infinite ab - - ab:aaa=aa,bab=bb [00m16s] # 5308 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:2,work:213,nodes:18,pairs:5,completionMax:26us [00m16s] 5308 ab:aaa=aa,bbb=aa infinite b/a - - ab:bbbbbb=bbb,abbb=bbb,bbba=bbb,aa=bbb [00m16s] # 5309 solved: rounds:1,rules:3,peak:3,longest:7,steps:3,word:2,work:177,nodes:18,pairs:1,completionMax:13us [00m16s] 5309 ab:aaa=aa,bbb=ab finite:21;idempotents:1,aa,bbbbbb,bbbbbba,bbbbbbaa b/a - - ab:bbbbbbb=bbbbb,ab=bbb,aaa=aa [00m16s] # 5310 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:10,pairs:0,completionMax:2us [00m16s] 5310 ab:aaa=aa,bbb=bb infinite ab - - ab:aaa=aa,bbb=bb [00m16s] # 5311 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:1,work:34,nodes:8,pairs:0,completionMax:5us [00m16s] 5311 ab:aaa=ab,aab=aa infinite a/b - - ab:aaaa=aa,ab=aaa [00m16s] # 5312 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:77,nodes:8,pairs:0,completionMax:4us [00m16s] 5312 ab:aaa=ab,aab=ab infinite a/b - - ab:aaaa=aaa,ab=aaa [00m16s] # 5313 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:2,work:177,nodes:12,pairs:1,completionMax:10us [00m16s] 5313 ab:aaa=ab,aab=ba infinite a/b - - ab:aaaaa=aaaa,ba=aaaa,ab=aaa [00m16s] # 5314 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:29,nodes:12,pairs:1,completionMax:7us [00m16s] 5314 ab:aaa=ab,aab=bb infinite a/b - - ab:baaaa=aaaaaa,ab=aaa,bb=aaaa [00m16s] # 5315 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:1,work:33,nodes:8,pairs:0,completionMax:4us [00m16s] 5315 ab:aaa=ab,aba=aa infinite a/b - - ab:aaaa=aa,ab=aaa [00m16s] from: 5315 ab:aaa=ab,aba=aa infinite to: 5311 ab:aaa=ab,aab=aa infinite a=a,b=b [00m16s] # 5316 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:76,nodes:8,pairs:0,completionMax:2us [00m16s] 5316 ab:aaa=ab,aba=ab infinite a/b - - ab:aaaa=aaa,ab=aaa [00m16s] from: 5316 ab:aaa=ab,aba=ab infinite to: 5312 ab:aaa=ab,aab=ab infinite a=a,b=b [00m16s] # 5317 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:2,work:176,nodes:12,pairs:1,completionMax:7us [00m16s] 5317 ab:aaa=ab,aba=ba infinite a/b - - ab:aaaaa=aaaa,ba=aaaa,ab=aaa [00m16s] from: 5317 ab:aaa=ab,aba=ba infinite to: 5313 ab:aaa=ab,aab=ba infinite a=a,b=b [00m16s] # 5318 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:28,nodes:12,pairs:1,completionMax:5us [00m16s] 5318 ab:aaa=ab,aba=bb infinite a/b - - ab:baaaa=aaaaaa,ab=aaa,bb=aaaa [00m16s] from: 5318 ab:aaa=ab,aba=bb infinite to: 5314 ab:aaa=ab,aab=bb infinite a=a,b=b [00m16s] # 5319 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:34,nodes:10,pairs:0,completionMax:4us [00m16s] 5319 ab:aaa=ab,abb=aa infinite a/b - - ab:aaaaa=aa,ab=aaa [00m16s] # 5320 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:67,nodes:10,pairs:0,completionMax:4us [00m16s] 5320 ab:aaa=ab,abb=ab infinite a/b - - ab:aaaaa=aaa,ab=aaa [00m16s] # 5321 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:141,nodes:14,pairs:1,completionMax:8us [00m16s] 5321 ab:aaa=ab,abb=ba infinite a/b - - ab:aaaaaa=aaaa,ba=aaaaa,ab=aaa [00m16s] # 5322 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:2,work:520,nodes:22,pairs:2,completionMax:13us [00m16s] 5322 ab:aaa=ab,abb=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a/b - - ab:aaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaa [00m16s] # 5323 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:81,nodes:14,pairs:1,completionMax:8us [00m16s] 5323 ab:aaa=ab,baa=aa infinite a/b - - ab:aaaaa=aaa,baa=aa,ab=aaa [00m16s] # 5324 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:192,nodes:14,pairs:1,completionMax:10us [00m16s] 5324 ab:aaa=ab,baa=ab infinite a/b - - ab:aaaaa=aaaa,baa=aaa,ab=aaa [00m16s] # 5325 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:192,nodes:14,pairs:1,completionMax:7us [00m16s] 5325 ab:aaa=ab,baa=ba infinite a/b - - ab:aaaaa=aaaa,baa=ba,ab=aaa [00m16s] # 5326 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:1,work:12,nodes:6,pairs:0,completionMax:2us [00m16s] 5326 ab:aaa=ab,baa=bb infinite a/b - - ab:ab=aaa,bb=baa [00m16s] # 5327 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:1,work:245,nodes:18,pairs:3,completionMax:23us [00m16s] 5327 ab:aaa=ab,bab=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,ab=aaa [00m16s] # 5328 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:150,nodes:18,pairs:1,completionMax:7us [00m16s] 5328 ab:aaa=ab,bab=ab infinite a/b - - ab:aaaaaa=aaaa,baaa=aaa,ab=aaa [00m16s] # 5329 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:155,nodes:18,pairs:1,completionMax:9us [00m16s] 5329 ab:aaa=ab,bab=ba infinite a/b - - ab:aaaaaa=aaaa,baaa=ba,ab=aaa [00m16s] # 5330 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:239,nodes:14,pairs:2,completionMax:12us [00m16s] 5330 ab:aaa=ab,bab=bb finite:12;idempotents:1,aaaaa,baaaaa a/b - - ab:aaaaaa=aaaaa,ab=aaa,bb=baaa [00m16s] # 5331 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:65,nodes:16,pairs:1,completionMax:8us [00m16s] 5331 ab:aaa=ab,bba=aa infinite a/b - - ab:aaaaaa=aaa,ab=aaa,bba=aa [00m16s] # 5332 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:134,nodes:16,pairs:1,completionMax:10us [00m16s] 5332 ab:aaa=ab,bba=ab infinite a/b - - ab:aaaaaa=aaaa,ab=aaa,bba=aaa [00m16s] # 5333 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:117,nodes:16,pairs:1,completionMax:9us [00m16s] 5333 ab:aaa=ab,bba=ba infinite a/b - - ab:aaaaaa=aaaa,ab=aaa,bba=ba [00m16s] # 5334 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:2,work:329,nodes:16,pairs:2,completionMax:16us [00m16s] 5334 ab:aaa=ab,bba=bb finite:13;idempotents:1,bb,aaaaa,baaaaa a/b - - ab:aaaaaa=aaaaa,ab=aaa,bba=bb,bbb=bb [00m16s] # 5335 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:123,nodes:20,pairs:3,completionMax:17us [00m16s] 5335 ab:aaa=ab,bbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,bba,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baa=aaaa,ab=aaa,bbb=aa [00m16s] # 5336 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:233,nodes:22,pairs:3,completionMax:13us [00m16s] 5336 ab:aaa=ab,bbb=ab finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaa,bbaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=aaaaa,ab=aaa,bbb=aaa [00m16s] # 5337 solved: rounds:1,rules:5,peak:5,longest:7,steps:2,word:2,work:267,nodes:26,pairs:3,completionMax:32us [00m16s] 5337 ab:aaa=ab,bbb=ba finite:13;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaaaa=baa,ab=aaa,bba=baaa,bbb=ba [00m16s] # 5338 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:140,nodes:16,pairs:3,completionMax:19us [00m16s] 5338 ab:aaa=bb,aab=aa infinite a/b - - ab:aaaaa=aa,baa=aa,aab=aa,bb=aaa [00m16s] # 5339 solved: rounds:1,rules:4,peak:5,longest:5,steps:4,word:2,work:252,nodes:14,pairs:4,completionMax:16us [00m16s] 5339 ab:aaa=bb,aab=ab finite:9;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aaa=bb [00m16s] # 5340 solved: rounds:1,rules:4,peak:4,longest:7,steps:9,word:3,work:330,nodes:26,pairs:2,completionMax:14us [00m16s] 5340 ab:aaa=bb,aab=ba finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa reversed:a/b - - ab:aaaaaaa=aaaa,aaaaaab=aaab,ba=aab,bb=aaa [00m16s] # 5341 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:344,nodes:16,pairs:2,completionMax:12us [00m16s] 5341 ab:aaa=bb,aab=bb infinite a/b - - ab:aaaaa=aaaa,baaa=aaaa,aab=aaa,bb=aaa [00m16s] # 5342 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:1,work:354,nodes:24,pairs:3,completionMax:27us [00m16s] 5342 ab:aaa=bb,aba=aa finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaa,baaa,baab,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaaa=aaaa,aba=aa,aaab=baaa,bb=aaa [00m16s] # 5343 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:2,work:1258,nodes:24,pairs:16,completionMax:85us [00m16s] 5343 ab:aaa=bb,aba=ab finite:9;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aaa=bb [00m16s] from: 5343 ab:aaa=bb,aba=ab finite:9;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb to: 5339 ab:aaa=bb,aab=ab finite:9;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb a=a,b=b [00m16s] # 5344 solved: rounds:2,rules:5,peak:5,longest:7,steps:7,word:1,work:1094,nodes:24,pairs:3,completionMax:34us [00m16s] 5344 ab:aaa=bb,aba=bb finite:15;idempotents:1,aaaaaa;center:1,aaa,bab,aaaa,baaa,baab,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,baaaa=aaaaa,aba=aaa,aaab=baaa,bb=aaa [00m16s] # 5345 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:1,work:244,nodes:16,pairs:10,completionMax:27us [00m16s] 5345 ab:aaa=bb,abb=aa infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aa=bbbb [00m16s] # 5346 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:233,nodes:20,pairs:2,completionMax:17us [00m16s] 5346 ab:aaa=bb,abb=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=aaaaaa,ab=aaaa,bb=aaa [00m16s] # 5347 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:232,nodes:16,pairs:2,completionMax:17us [00m16s] 5347 ab:aaa=bb,abb=ba finite:10;idempotents:1,aaaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,ba=aaaa,aaab=aaaaaa,bb=aaa [00m16s] # 5348 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:99,nodes:14,pairs:3,completionMax:9us [00m16s] 5348 ab:aaa=bb,abb=bb infinite ab - - ab:aaa=bb,abb=bb,bba=bb,bbbb=bb [00m16s] # 5349 solved: rounds:2,rules:6,peak:7,longest:10,steps:9,word:4,work:1399,nodes:42,pairs:7,completionMax:65us [00m16s] 5349 ab:aaa=bb,bab=aa finite:20;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=aaaa,baaaaaaaa=baa,abaa=baaaaaaa,aab=baaaa,bb=aaa,bab=aa [00m16s] # 5350 solved: rounds:3,rules:4,peak:9,longest:7,steps:3,word:4,work:1574,nodes:28,pairs:18,completionMax:107us [00m16s] 5350 ab:aaa=bb,bab=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=aaaaaa,ab=aaaa,bb=aaa [00m16s] from: 5350 ab:aaa=bb,bab=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa to: 5346 ab:aaa=bb,abb=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a=a,b=b [00m16s] # 5351 solved: rounds:3,rules:6,peak:6,longest:5,steps:3,word:0,work:364,nodes:24,pairs:6,completionMax:30us [00m16s] 5351 ab:aaa=bb,bab=bb infinite ab - - ab:aaa=bb,bab=bb,bba=abb,abbb=bbb,baabb=bbb,bbbbb=bbb [00m16s] # 5352 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:3,work:275,nodes:20,pairs:7,completionMax:27us [00m16s] 5352 ab:aaa=bb,bbb=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aaa [00m16s] # 5353 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [00m16s] 5353 ab:aab=aa,aba=aa infinite ab - - ab:aab=aa,aba=aa [00m16s] # 5354 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:114,nodes:8,pairs:3,completionMax:16us [00m16s] 5354 ab:aab=aa,aba=ab infinite ab - - ab:aaa=aa,aab=aa,aba=ab,abb=ab [00m16s] # 5355 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:2,work:157,nodes:10,pairs:5,completionMax:28us [00m16s] 5355 ab:aab=aa,aba=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,aab=aa [00m16s] # 5356 solved: rounds:3,rules:5,peak:6,longest:5,steps:4,word:1,work:346,nodes:20,pairs:7,completionMax:31us [00m16s] 5356 ab:aab=aa,aba=bb finite:10;idempotents:1,aa;center:1,aa,aaa,aba,bab,baba a/b - - ab:aaaa=aa,baa=aa,aab=aa,bb=aba,abab=baba [00m16s] # 5357 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:8,pairs:1,completionMax:5us [00m16s] 5357 ab:aab=aa,abb=aa infinite ab - - ab:aaa=aa,aab=aa,abb=aa [00m16s] # 5358 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [00m16s] 5358 ab:aab=aa,abb=ab infinite ab - - ab:aab=aa,abb=ab [00m16s] # 5359 solved: rounds:0,rules:2,peak:2,longest:3,steps:7,word:3,work:51,nodes:8,pairs:0,completionMax:6us [00m16s] 5359 ab:aab=aa,abb=ba infinite b/a - - ab:ba=abb,aab=aa [00m16s] # 5360 solved: rounds:2,rules:4,peak:4,longest:3,steps:2,word:0,work:123,nodes:10,pairs:5,completionMax:18us [00m16s] 5360 ab:aab=aa,abb=bb infinite ab - - ab:bb=aa,aaa=aa,aab=aa,baa=aa [00m16s] # 5361 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:5us [00m16s] 5361 ab:aab=aa,baa=aa infinite ab - - ab:aab=aa,baa=aa [00m16s] # 5362 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:582,nodes:16,pairs:8,completionMax:53us [00m16s] 5362 ab:aab=aa,baa=ab infinite ab - - ab:ab=aa,aaa=aa,baa=aa [00m16s] # 5363 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:151,nodes:12,pairs:3,completionMax:12us [00m16s] 5363 ab:aab=aa,baa=ba infinite ab - - ab:aab=aa,baa=ba,bab=ba,aaaa=aaa [00m16s] # 5364 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:1,work:48,nodes:10,pairs:2,completionMax:11us [00m16s] 5364 ab:aab=aa,baa=bb infinite a/b - - ab:aaaa=aa,aab=aa,bb=baa [00m16s] # 5365 solved: rounds:1,rules:3,peak:3,longest:4,steps:8,word:1,work:231,nodes:10,pairs:3,completionMax:16us [00m16s] 5365 ab:aab=aa,bab=aa infinite b/a - - ab:babb=bab,aa=bab,baba=abab [00m16s] # 5366 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:39,nodes:10,pairs:1,completionMax:10us [00m16s] 5366 ab:aab=aa,bab=ab infinite ab - - ab:aab=aa,baa=aa,bab=ab [00m16s] # 5367 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 5367 ab:aab=aa,bab=ba infinite ab - - ab:aab=aa,bab=ba [00m16s] # 5368 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:1,completionMax:5us [00m16s] 5368 ab:aab=aa,bab=bb infinite ab - - ab:aaa=aa,aab=aa,bab=bb [00m16s] # 5369 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:97,nodes:12,pairs:1,completionMax:8us [00m16s] 5369 ab:aab=aa,bba=aa infinite ab - - ab:aab=aa,bba=aa,aaaa=aaa [00m16s] # 5370 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:3,work:70,nodes:14,pairs:1,completionMax:7us [00m16s] 5370 ab:aab=aa,bba=ab infinite reversed:b/a - - ab:ab=bba,bbbbaa=aa [00m16s] # 5371 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [00m16s] 5371 ab:aab=aa,bba=ba infinite ab - - ab:aab=aa,bba=ba [00m16s] # 5372 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:114,nodes:10,pairs:2,completionMax:13us [00m16s] 5372 ab:aab=aa,bba=bb infinite ab - - ab:aaa=aa,aab=aa,bba=bb,bbb=bb [00m16s] # 5373 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:88,nodes:8,pairs:2,completionMax:5us [00m16s] 5373 ab:aab=ab,aba=aa infinite ab - - ab:aaa=aa,aab=ab,aba=aa [00m16s] # 5374 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:50,nodes:12,pairs:5,completionMax:21us [00m16s] 5374 ab:aab=ab,aba=ab infinite acb ab=c frequency:2/1 abc:ac=c,ab=c,ca=c,cb=cc [00m16s] # 5375 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:90,nodes:18,pairs:6,completionMax:15us [00m16s] 5375 ab:aab=ab,aba=ba infinite acb ba=c frequency:2/1 abc:ac=c,ba=c,bc=cc,aab=ab,cab=cb [00m16s] # 5376 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:174,nodes:12,pairs:1,completionMax:9us [00m16s] 5376 ab:aab=ab,aba=bb infinite reversed:a/b - - ab:aab=ab,bb=aba,baba=abab [00m16s] # 5377 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:8,pairs:1,completionMax:5us [00m16s] 5377 ab:aab=ab,abb=aa infinite ab - - ab:aaa=aa,aab=ab,abb=aa [00m16s] # 5378 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [00m16s] 5378 ab:aab=ab,abb=ab infinite ab - - ab:aab=ab,abb=ab [00m16s] # 5379 solved: rounds:1,rules:3,peak:3,longest:6,steps:8,word:3,work:119,nodes:16,pairs:1,completionMax:8us [00m16s] 5379 ab:aab=ab,abb=ba infinite b/a - - ab:abbbbb=abbb,ba=abb,aab=ab [00m16s] # 5380 solved: rounds:1,rules:2,peak:2,longest:5,steps:6,word:2,work:67,nodes:12,pairs:1,completionMax:8us [00m16s] 5380 ab:aab=ab,baa=ab infinite a/b - - ab:baaaa=baa,ab=baa [00m16s] # 5381 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [00m16s] 5381 ab:aab=ab,baa=ba infinite ab - - ab:aab=ab,baa=ba [00m16s] # 5382 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:187,nodes:14,pairs:2,completionMax:11us [00m16s] 5382 ab:aab=ab,baa=bb infinite ba - - ab:bab=bbb,baa=bb,aab=ab,bbbb=bbb [00m16s] # 5383 solved: rounds:4,rules:3,peak:4,longest:5,steps:12,word:4,work:651,nodes:16,pairs:5,completionMax:40us [00m16s] 5383 ab:aab=ab,bab=aa infinite a/b - - ab:aaa=aa,ab=baa,bbaa=aa [00m16s] # 5384 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:3us [00m16s] 5384 ab:aab=ab,bab=ab infinite ab - - ab:aab=ab,bab=ab [00m16s] # 5385 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:1,completionMax:6us [00m16s] 5385 ab:aab=ab,bab=ba infinite ab - - ab:aab=ab,baa=ba,bab=ba [00m16s] # 5386 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 5386 ab:aab=ab,bab=bb infinite ab - - ab:aab=ab,bab=bb [00m16s] # 5387 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:116,nodes:12,pairs:1,completionMax:8us [00m16s] 5387 ab:aab=ab,bba=aa infinite ab - - ab:aab=ab,bba=aa,aaaa=aaa [00m16s] # 5388 solved: rounds:3,rules:3,peak:3,longest:6,steps:6,word:3,work:216,nodes:20,pairs:4,completionMax:18us [00m16s] 5388 ab:aab=ab,bba=ab infinite reversed:b/a - - ab:bbbba=bba,ab=bba,bbaa=bba [00m16s] # 5389 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 5389 ab:aab=ab,bba=ba infinite ab - - ab:aab=ab,bba=ba [00m16s] # 5390 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:632,nodes:18,pairs:15,completionMax:66us [00m16s] 5390 ab:aab=ba,aba=aa infinite ab - - ab:ba=aa,aaa=aa,aab=aa [00m16s] # 5391 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:1,work:37,nodes:10,pairs:0,completionMax:3us [00m16s] 5391 ab:aab=ba,aba=ab infinite reversed:a/b - - ab:aaab=ab,ba=aab [00m16s] # 5392 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:72,nodes:10,pairs:0,completionMax:3us [00m16s] 5392 ab:aab=ba,aba=ba infinite reversed:a/b - - ab:aaab=aab,ba=aab [00m16s] # 5393 solved: rounds:1,rules:3,peak:4,longest:8,steps:17,word:5,work:659,nodes:18,pairs:2,completionMax:14us [00m16s] 5393 ab:aab=ba,aba=bb infinite reversed:a/b - - ab:aaaaaab=aaaaab,ba=aab,bb=aaab [00m16s] # 5394 solved: rounds:3,rules:3,peak:5,longest:6,steps:14,word:2,work:1222,nodes:22,pairs:5,completionMax:48us [00m16s] 5394 ab:aab=ba,abb=aa infinite reversed:a/b - - ab:aaaa=aaa,ba=aab,abb=aa [00m16s] # 5395 solved: rounds:1,rules:3,peak:3,longest:6,steps:12,word:3,work:251,nodes:16,pairs:2,completionMax:17us [00m16s] 5395 ab:aab=ba,abb=ba infinite b/a - - ab:abbbbb=abbbb,ba=abb,aab=abb [00m16s] # 5396 solved: rounds:1,rules:2,peak:2,longest:5,steps:5,word:1,work:38,nodes:12,pairs:1,completionMax:6us [00m16s] 5396 ab:aab=ba,baa=ab infinite a/b - - ab:baaaa=ba,ab=baa [00m16s] # 5397 solved: rounds:1,rules:3,peak:3,longest:9,steps:15,word:7,work:358,nodes:20,pairs:2,completionMax:15us [00m16s] 5397 ab:aab=ba,baa=bb infinite reversed:a/b - - ab:aaaaaaaab=aaaaaab,ba=aab,bb=aaaab [00m16s] # 5398 solved: rounds:1,rules:3,peak:3,longest:6,steps:8,word:3,work:145,nodes:18,pairs:1,completionMax:10us [00m16s] 5398 ab:aab=ba,bab=aa infinite reversed:a/b - - ab:aaaaaa=aaa,ba=aab,aabb=aa [00m16s] # 5399 solved: rounds:3,rules:3,peak:5,longest:3,steps:3,word:0,work:233,nodes:14,pairs:9,completionMax:26us [00m16s] 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [00m16s] # 5400 solved: rounds:1,rules:3,peak:3,longest:7,steps:10,word:3,work:180,nodes:20,pairs:1,completionMax:8us [00m16s] 5400 ab:aab=ba,bab=ba infinite reversed:a/b - - ab:aaaaaab=aaaab,ba=aab,aabb=aab [00m16s] # 5401 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:3,work:53,nodes:10,pairs:0,completionMax:3us [00m16s] 5401 ab:aab=ba,bab=bb infinite reversed:a/b - - ab:ba=aab,aabb=bb [00m16s] # 5402 solved: rounds:3,rules:3,peak:6,longest:6,steps:14,word:3,work:1383,nodes:28,pairs:33,completionMax:78us [00m16s] 5402 ab:aab=ba,bba=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabb=aa [00m16s] from: 5402 ab:aab=ba,bba=aa infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=a,b=b [00m16s] # 5403 solved: rounds:2,rules:3,peak:6,longest:4,steps:6,word:0,work:501,nodes:18,pairs:12,completionMax:25us [00m16s] 5403 ab:aab=ba,bba=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [00m16s] from: 5403 ab:aab=ba,bba=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [00m16s] # 5404 solved: rounds:3,rules:6,peak:6,longest:6,steps:3,word:1,work:597,nodes:20,pairs:12,completionMax:51us [00m16s] 5404 ab:aab=bb,aba=aa finite:14;idempotents:1,aaaa,aaaab a/b - - ab:aaaaaa=aaaa,baaa=aaaaa,aba=aa,aaaaab=aaab,bb=aab,baab=aaaab [00m16s] # 5405 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:226,nodes:16,pairs:6,completionMax:15us [00m16s] 5405 ab:aab=bb,aba=ab infinite ab - - ab:aab=bb,aba=ab,bba=bb,abbb=abb,bbbb=bbb [00m16s] # 5406 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:270,nodes:16,pairs:6,completionMax:24us [00m16s] 5406 ab:aab=bb,aba=ba infinite ab - - ab:aab=bb,aba=ba,bba=ba,abbb=bbb,bbbb=bbb [00m16s] # 5407 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:98,nodes:16,pairs:3,completionMax:15us [00m16s] 5407 ab:aab=bb,aba=bb infinite ab - - ab:aab=bb,aba=bb,bba=abb,babb=abbb [00m16s] # 5408 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:340,nodes:18,pairs:12,completionMax:46us [00m16s] 5408 ab:aab=bb,abb=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [00m16s] # 5409 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:52,nodes:8,pairs:0,completionMax:6us [00m16s] 5409 ab:aab=bb,baa=bb infinite a/b - - ab:aab=baa,bb=baa [00m16s] # 5410 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:4,work:357,nodes:18,pairs:13,completionMax:35us [00m16s] 5410 ab:aab=bb,bab=aa finite:11;idempotents:1,aaaaaa;center:1,aa,aaa,aba,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aaaa,bab=aa [00m16s] # 5411 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:122,nodes:14,pairs:2,completionMax:11us [00m16s] 5411 ab:aab=bb,bab=ab infinite ab - - ab:aab=bb,abb=ab,bab=ab,bbb=bb [00m16s] # 5412 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:0,work:329,nodes:14,pairs:6,completionMax:29us [00m16s] 5412 ab:aab=bb,bab=ba infinite ba - - ab:bba=ba,bab=ba,baa=bbb,aab=bb,bbbb=bbb [00m16s] # 5413 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 5413 ab:aab=bb,bab=bb infinite ab - - ab:aab=bb,bab=bb [00m16s] # 5414 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:1,work:374,nodes:22,pairs:11,completionMax:35us [00m16s] 5414 ab:aab=bb,bba=aa infinite a/b - - ab:aaaaaa=aaa,baa=aaaa,aaba=aa,bb=aab [00m16s] # 5415 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:248,nodes:14,pairs:7,completionMax:19us [00m16s] 5415 ab:aba=aa,bab=aa infinite ab - - ab:aab=aaa,aba=aa,baa=aaa,bab=aa,aaaa=aaa [00m16s] # 5416 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:6us [00m16s] 5416 ab:aba=aa,bab=ab infinite ab - - ab:aba=aa,baa=aa,bab=ab [00m16s] # 5417 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:1,work:217,nodes:12,pairs:4,completionMax:17us [00m16s] 5417 ab:aba=aa,bab=bb infinite a/b - - ab:aba=aa,bba=baa,bab=bb,abb=aab,bbb=baab [00m16s] # 5418 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:1,work:450,nodes:16,pairs:9,completionMax:34us [00m16s] 5418 ab:aba=ab,bab=aa infinite a/b - - ab:aaa=aa,ab=baa,bbaa=aa [00m16s] from: 5418 ab:aba=ab,bab=aa infinite to: 5383 ab:aab=ab,bab=aa infinite a=a,b=b [00m16s] # 5419 solved: rounds:2,rules:5,peak:5,longest:4,steps:4,word:0,work:293,nodes:16,pairs:11,completionMax:19us [00m16s] 5419 ab:aba=ab,bab=ab infinite ab - - ab:aba=ab,abb=aab,bab=ab,aaab=aab,baab=aab [00m16s] # 5420 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:114,nodes:10,pairs:4,completionMax:11us [00m16s] 5420 ab:aba=ab,bab=ba infinite ab - - ab:aba=ab,abb=ab,baa=ba,bab=ba [00m16s] # 5421 solved: rounds:3,rules:7,peak:8,longest:10,steps:5,word:4,work:2096,nodes:64,pairs:20,completionMax:109us [00m16s] 5421 ab:aba=bb,bab=aa finite:32;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=aaaa,baaaaaaaa=baa,aabaaaaaa=aab,aaab=baaa,bb=aba,bab=aa,baab=aabaaaaa [00m16s] # 5422 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:22,nodes:8,pairs:0,completionMax:7us [00m16s] 5422 ab:aaaa=1,aaaaaa=1 infinite ab - - ab:aa=1 [00m16s] from: 5422 ab:aaaa=1,aaaaaa=1 infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m16s] # 5423 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:6us [00m16s] 5423 ab:aaaa=1,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 5423 ab:aaaa=1,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 5424 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:4us [00m16s] 5424 ab:aaaa=1,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 5424 ab:aaaa=1,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 5425 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:2us [00m16s] 5425 ab:aaaa=1,aaaabb=1 infinite;group:a-aaa,b-b ab - - ab:bb=1,aaaa=1 [00m16s] from: 5425 ab:aaaa=1,aaaabb=1 infinite;group:a-aaa,b-b to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=b,b=a [00m16s] # 5426 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:150,nodes:16,pairs:17,completionMax:34us [00m16s] 5426 ab:aaaa=1,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 5426 ab:aaaa=1,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 5427 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:52,nodes:16,pairs:5,completionMax:13us [00m16s] 5427 ab:aaaa=1,aaabab=1 infinite;group:a-aaa,b-aaaba ab - - ab:baa=aab,bab=a,aaaa=1 [00m16s] # 5428 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:92,nodes:16,pairs:11,completionMax:33us [00m16s] 5428 ab:aaaa=1,aaabba=1 infinite;group:a-aaa,b-b ab - - ab:bb=1,aaaa=1 [00m16s] from: 5428 ab:aaaa=1,aaabba=1 infinite;group:a-aaa,b-b to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=b,b=a [00m16s] # 5429 solved: rounds:2,rules:2,peak:3,longest:12,steps:3,word:6,work:185,nodes:24,pairs:10,completionMax:25us [00m16s] 5429 ab:aaaa=1,aaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbb [00m16s] from: 5429 ab:aaaa=1,aaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=b [00m16s] # 5430 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:29,nodes:20,pairs:2,completionMax:9us [00m16s] 5430 ab:aaaa=1,aabaab=1 infinite;group:a-aaa,b-aabaa ab - - ab:aaaa=1,baab=aa [00m16s] # 5431 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:290,nodes:20,pairs:17,completionMax:31us [00m16s] 5431 ab:aaaa=1,aababa=1 infinite;group:a-aaa,b-aaaba ab - - ab:baa=aab,bab=a,aaaa=1 [00m16s] from: 5431 ab:aaaa=1,aababa=1 infinite;group:a-aaa,b-aaaba to: 5427 ab:aaaa=1,aaabab=1 infinite;group:a-aaa,b-aaaba a=a,b=b [00m16s] # 5432 solved: rounds:5,rules:6,peak:24,longest:18,steps:12,word:6,work:62243,nodes:156,pairs:497,completionMax:4126us [00m16s] 5432 ab:aaaa=1,aababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=babb,aba=bbbab,abba=bbabbb,abbba=bbbbbbbbb [00m16s] # 5433 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:124,nodes:20,pairs:14,completionMax:24us [00m16s] 5433 ab:aaaa=1,aabbaa=1 infinite;group:a-aaa,b-b ab - - ab:bb=1,aaaa=1 [00m16s] from: 5433 ab:aaaa=1,aabbaa=1 infinite;group:a-aaa,b-b to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=b,b=a [00m16s] # 5434 solved: rounds:5,rules:6,peak:22,longest:16,steps:9,word:6,work:28174,nodes:132,pairs:238,completionMax:2296us [00m16s] 5434 ab:aaaa=1,aabbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=bbab,aba=babbb,abba=bbbabb,abbba=bbbbbbbbb [00m16s] from: 5434 ab:aaaa=1,aabbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 3884 ab:aaba=bb,bbbb=1 finite:60;center:1,aaaa,aaaaaaaa;group:a-aaaaaaaaaaa,b-aaabaaa a=b,b=a [00m16s] # 5435 solved: rounds:3,rules:2,peak:5,longest:12,steps:9,word:6,work:1296,nodes:34,pairs:22,completionMax:93us [00m16s] 5435 ab:aaaa=1,aabbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbb [00m16s] from: 5435 ab:aaaa=1,aabbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=b [00m16s] # 5436 solved: rounds:2,rules:3,peak:3,longest:6,steps:5,word:0,work:133,nodes:20,pairs:8,completionMax:22us [00m16s] 5436 ab:aaaa=1,aabbbb=1 infinite;group:a-aaa,b-aabbb ab - - ab:baa=aab,aaaa=1,bbbb=aa [00m16s] # 5437 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:243,nodes:24,pairs:10,completionMax:40us [00m16s] 5437 ab:aaaa=1,abaaab=1 infinite;group:a-aaa,b-aaaba ab - - ab:baa=aab,bab=a,aaaa=1 [00m16s] from: 5437 ab:aaaa=1,abaaab=1 infinite;group:a-aaa,b-aaaba to: 5427 ab:aaaa=1,aaabab=1 infinite;group:a-aaa,b-aaaba a=a,b=b [00m16s] # 5438 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:190,nodes:24,pairs:7,completionMax:36us [00m16s] 5438 ab:aaaa=1,abaaba=1 infinite;group:a-aaa,b-aabaa ab - - ab:aaaa=1,baab=aa [00m16s] from: 5438 ab:aaaa=1,abaaba=1 infinite;group:a-aaa,b-aabaa to: 5430 ab:aaaa=1,aabaab=1 infinite;group:a-aaa,b-aabaa a=a,b=b [00m16s] # 5439 solved: rounds:6,rules:6,peak:22,longest:18,steps:11,word:6,work:41871,nodes:168,pairs:282,completionMax:3784us [00m16s] 5439 ab:aaaa=1,abaabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=bbab,aba=babbb,abba=bbbabb,abbba=bbbbbbbbb [00m16s] from: 5439 ab:aaaa=1,abaabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 3884 ab:aaba=bb,bbbb=1 finite:60;center:1,aaaa,aaaaaaaa;group:a-aaaaaaaaaaa,b-aaabaaa a=b,b=a [00m16s] # 5440 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:24,pairs:1,completionMax:10us [00m16s] 5440 ab:aaaa=1,ababab=1 infinite;group:a-aaa,b-ababa ab - - ab:aaaa=1,babab=aaa [00m16s] # 5441 solved: rounds:5,rules:6,peak:24,longest:18,steps:12,word:6,work:62248,nodes:156,pairs:498,completionMax:7364us [00m16s] 5441 ab:aaaa=1,ababba=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=babb,aba=bbbab,abba=bbabbb,abbba=bbbbbbbbb [00m16s] from: 5441 ab:aaaa=1,ababba=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 5432 ab:aaaa=1,aababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb a=a,b=b [00m16s] # 5442 solved: rounds:6,rules:5,peak:12,longest:20,steps:22,word:18,work:15334,nodes:114,pairs:66,completionMax:713us [00m16s] 5442 ab:aaaa=1,ababbb=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbb,baa=aabbbbbbbbb,aaa=babbb [00m16s] # 5443 solved: rounds:5,rules:6,peak:22,longest:19,steps:25,word:8,work:52205,nodes:180,pairs:209,completionMax:3809us [00m16s] 5443 ab:aaaa=1,abbaab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=babb,aba=bbbab,abba=bbabbb,abbba=bbbbbbbbb [00m16s] from: 5443 ab:aaaa=1,abbaab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 5432 ab:aaaa=1,aababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb a=a,b=b [00m16s] # 5444 solved: rounds:4,rules:4,peak:5,longest:8,steps:3,word:0,work:453,nodes:34,pairs:12,completionMax:59us [00m16s] 5444 ab:aaaa=1,abbabb=1 infinite;group:a-aaa,b-abbab ab - - ab:aaaa=1,babba=abbab,bbabb=aaa,bbabaaa=aaababb [00m16s] # 5445 solved: rounds:4,rules:5,peak:13,longest:18,steps:18,word:10,work:13924,nodes:118,pairs:70,completionMax:572us [00m16s] 5445 ab:aaaa=1,abbbab=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbb,baa=aabbbbbbbbb,aaa=babbb [00m16s] from: 5445 ab:aaaa=1,abbbab=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb to: 5442 ab:aaaa=1,ababbb=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb a=a,b=b [00m16s] # 5446 solved: rounds:3,rules:3,peak:7,longest:7,steps:5,word:0,work:935,nodes:34,pairs:28,completionMax:115us [00m16s] 5446 ab:aaaa=1,abbbba=1 infinite;group:a-aaa,b-aabbb ab - - ab:baa=aab,aaaa=1,bbbb=aa [00m16s] from: 5446 ab:aaaa=1,abbbba=1 infinite;group:a-aaa,b-aabbb to: 5436 ab:aaaa=1,aabbbb=1 infinite;group:a-aaa,b-aabbb a=a,b=b [00m16s] # 5447 solved: rounds:4,rules:2,peak:4,longest:20,steps:2,word:14,work:216,nodes:40,pairs:16,completionMax:62us [00m16s] 5447 ab:aaaa=1,abbbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbb [00m16s] from: 5447 ab:aaaa=1,abbbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbbbbbbbbb,b=b [00m16s] # 5448 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:10,pairs:0,completionMax:3us [00m16s] 5448 ab:aaaa=1,baaaab=1 infinite;group:a-aaa,b-b ab - - ab:bb=1,aaaa=1 [00m16s] from: 5448 ab:aaaa=1,baaaab=1 infinite;group:a-aaa,b-b to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=b,b=a [00m16s] # 5449 solved: rounds:4,rules:2,peak:7,longest:13,steps:5,word:6,work:1376,nodes:48,pairs:31,completionMax:146us [00m16s] 5449 ab:aaaa=1,baaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbb [00m16s] from: 5449 ab:aaaa=1,baaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b3;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=b [00m16s] # 5450 solved: rounds:4,rules:6,peak:21,longest:15,steps:15,word:8,work:30013,nodes:126,pairs:205,completionMax:1460us [00m16s] 5450 ab:aaaa=1,baabab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=babb,aba=bbbab,abba=bbabbb,abbba=bbbbbbbbb [00m16s] from: 5450 ab:aaaa=1,baabab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 5432 ab:aaaa=1,aababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb a=a,b=b [00m16s] # 5451 solved: rounds:4,rules:3,peak:5,longest:6,steps:5,word:0,work:924,nodes:30,pairs:16,completionMax:74us [00m16s] 5451 ab:aaaa=1,baabbb=1 infinite;group:a-aaa,b-aabbb ab - - ab:baa=aab,aaaa=1,bbbb=aa [00m16s] from: 5451 ab:aaaa=1,baabbb=1 infinite;group:a-aaa,b-aabbb to: 5436 ab:aaaa=1,aabbbb=1 infinite;group:a-aaa,b-aabbb a=a,b=b [00m16s] # 5452 solved: rounds:5,rules:5,peak:11,longest:18,steps:23,word:20,work:14150,nodes:130,pairs:50,completionMax:457us [00m16s] 5452 ab:aaaa=1,bababb=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbb,baa=aabbbbbbbbb,aaa=babbb [00m16s] from: 5452 ab:aaaa=1,bababb=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb to: 5442 ab:aaaa=1,ababbb=1 finite:64;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbb a=a,b=b [00m16s] # 5453 solved: rounds:3,rules:4,peak:6,longest:8,steps:3,word:0,work:492,nodes:38,pairs:14,completionMax:60us [00m16s] 5453 ab:aaaa=1,babbab=1 infinite;group:a-aaa,b-abbab ab - - ab:aaaa=1,babba=abbab,bbabb=aaa,bbabaaa=aaababb [00m16s] from: 5453 ab:aaaa=1,babbab=1 infinite;group:a-aaa,b-abbab to: 5444 ab:aaaa=1,abbabb=1 infinite;group:a-aaa,b-abbab a=a,b=b [00m16s] # 5454 solved: rounds:6,rules:2,peak:6,longest:20,steps:12,word:14,work:1645,nodes:40,pairs:21,completionMax:86us [00m16s] 5454 ab:aaaa=1,babbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbb [00m16s] from: 5454 ab:aaaa=1,babbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbbbbbbbbb,b=b [00m16s] # 5455 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:505,nodes:24,pairs:9,completionMax:35us [00m16s] 5455 ab:aaaa=1,bbaabb=1 infinite;group:a-aaa,b-aabbb ab - - ab:baa=aab,aaaa=1,bbbb=aa [00m16s] from: 5455 ab:aaaa=1,bbaabb=1 infinite;group:a-aaa,b-aabbb to: 5436 ab:aaaa=1,aabbbb=1 infinite;group:a-aaa,b-aabbb a=a,b=b [00m16s] # 5456 solved: rounds:6,rules:2,peak:8,longest:20,steps:12,word:14,work:2086,nodes:40,pairs:21,completionMax:98us [00m16s] 5456 ab:aaaa=1,bbabbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbb [00m16s] from: 5456 ab:aaaa=1,bbabbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b15;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbbbbbbbbb,b=b [00m16s] # 5457 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:5us [00m16s] 5457 ab:aaaa=1,bbbbbb=1 infinite;group:a-aaa,b-bbbbb ab - - ab:aaaa=1,bbbbbb=1 [00m16s] # 5458 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:2,work:11,nodes:12,pairs:3,completionMax:12us [00m16s] 5458 ab:aaab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5458 ab:aaab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5459 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:3,completionMax:5us [00m16s] 5459 ab:aaab=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5459 ab:aaab=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5460 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:3,completionMax:3us [00m16s] 5460 ab:aaab=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5460 ab:aaab=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5461 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:4us [00m16s] 5461 ab:aaab=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5461 ab:aaab=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5462 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:3,completionMax:4us [00m16s] 5462 ab:aaab=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5462 ab:aaab=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5463 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:8,pairs:2,completionMax:4us [00m16s] 5463 ab:aaab=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5463 ab:aaab=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5464 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:73,nodes:10,pairs:9,completionMax:18us [00m16s] 5464 ab:aaab=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5464 ab:aaab=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5465 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:15,nodes:12,pairs:3,completionMax:9us [00m16s] 5465 ab:aaab=1,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5465 ab:aaab=1,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5466 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:297,nodes:16,pairs:22,completionMax:41us [00m16s] 5466 ab:aaab=1,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5466 ab:aaab=1,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5467 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:15,nodes:14,pairs:5,completionMax:9us [00m16s] 5467 ab:aaab=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5467 ab:aaab=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5468 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:109,nodes:16,pairs:15,completionMax:28us [00m16s] 5468 ab:aaab=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5468 ab:aaab=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5469 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:39,nodes:16,pairs:3,completionMax:12us [00m16s] 5469 ab:aaab=1,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5469 ab:aaab=1,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5470 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:0,work:400,nodes:18,pairs:30,completionMax:51us [00m16s] 5470 ab:aaab=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5470 ab:aaab=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5471 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:120,nodes:18,pairs:11,completionMax:28us [00m16s] 5471 ab:aaab=1,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5471 ab:aaab=1,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5472 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:4,work:457,nodes:18,pairs:20,completionMax:54us [00m16s] 5472 ab:aaab=1,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5472 ab:aaab=1,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5473 solved: rounds:4,rules:2,peak:5,longest:10,steps:5,word:6,work:178,nodes:20,pairs:12,completionMax:32us [00m16s] 5473 ab:aaab=1,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5473 ab:aaab=1,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5474 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:440,nodes:18,pairs:28,completionMax:68us [00m16s] 5474 ab:aaab=1,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5474 ab:aaab=1,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5475 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:6us [00m16s] 5475 ab:aaab=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5475 ab:aaab=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5476 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:383,nodes:22,pairs:23,completionMax:55us [00m16s] 5476 ab:aaab=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5476 ab:aaab=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5477 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:53,nodes:18,pairs:3,completionMax:23us [00m16s] 5477 ab:aaab=1,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5477 ab:aaab=1,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5478 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:700,nodes:20,pairs:32,completionMax:87us [00m16s] 5478 ab:aaab=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5478 ab:aaab=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5479 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:76,nodes:16,pairs:8,completionMax:29us [00m16s] 5479 ab:aaab=1,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5479 ab:aaab=1,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5480 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:4,work:511,nodes:22,pairs:22,completionMax:54us [00m16s] 5480 ab:aaab=1,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5480 ab:aaab=1,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5481 solved: rounds:4,rules:2,peak:5,longest:11,steps:2,word:6,work:182,nodes:28,pairs:13,completionMax:46us [00m16s] 5481 ab:aaab=1,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5481 ab:aaab=1,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5482 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:209,nodes:18,pairs:17,completionMax:48us [00m16s] 5482 ab:aaab=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5482 ab:aaab=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5483 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:462,nodes:24,pairs:25,completionMax:101us [00m16s] 5483 ab:aaab=1,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5483 ab:aaab=1,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5484 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:4,work:623,nodes:24,pairs:25,completionMax:93us [00m16s] 5484 ab:aaab=1,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5484 ab:aaab=1,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5485 solved: rounds:4,rules:2,peak:5,longest:12,steps:2,word:6,work:305,nodes:28,pairs:17,completionMax:54us [00m16s] 5485 ab:aaab=1,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5485 ab:aaab=1,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5486 solved: rounds:2,rules:2,peak:6,longest:6,steps:10,word:4,work:604,nodes:22,pairs:22,completionMax:70us [00m16s] 5486 ab:aaab=1,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5486 ab:aaab=1,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5487 solved: rounds:3,rules:2,peak:6,longest:10,steps:2,word:6,work:321,nodes:28,pairs:29,completionMax:81us [00m16s] 5487 ab:aaab=1,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5487 ab:aaab=1,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5488 solved: rounds:4,rules:2,peak:8,longest:14,steps:10,word:12,work:1331,nodes:36,pairs:28,completionMax:119us [00m16s] 5488 ab:aaab=1,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5488 ab:aaab=1,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5489 solved: rounds:4,rules:2,peak:7,longest:16,steps:6,word:10,work:1114,nodes:38,pairs:33,completionMax:168us [00m16s] 5489 ab:aaab=1,abbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5489 ab:aaab=1,abbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5490 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:486,nodes:20,pairs:27,completionMax:58us [00m16s] 5490 ab:aaab=1,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5490 ab:aaab=1,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5491 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:75,nodes:10,pairs:9,completionMax:21us [00m16s] 5491 ab:aaab=1,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5491 ab:aaab=1,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5492 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:74,nodes:10,pairs:9,completionMax:24us [00m16s] 5492 ab:aaab=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5492 ab:aaab=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5493 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:16,nodes:12,pairs:3,completionMax:9us [00m16s] 5493 ab:aaab=1,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5493 ab:aaab=1,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5494 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:425,nodes:24,pairs:24,completionMax:57us [00m16s] 5494 ab:aaab=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5494 ab:aaab=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5495 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:4,work:439,nodes:24,pairs:25,completionMax:69us [00m16s] 5495 ab:aaab=1,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5495 ab:aaab=1,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5496 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:4,work:680,nodes:28,pairs:23,completionMax:79us [00m16s] 5496 ab:aaab=1,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5496 ab:aaab=1,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5497 solved: rounds:3,rules:2,peak:6,longest:10,steps:7,word:6,work:398,nodes:26,pairs:16,completionMax:49us [00m16s] 5497 ab:aaab=1,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5497 ab:aaab=1,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5498 solved: rounds:2,rules:2,peak:7,longest:6,steps:8,word:0,work:493,nodes:20,pairs:19,completionMax:45us [00m16s] 5498 ab:aaab=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5498 ab:aaab=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5499 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:2,work:378,nodes:28,pairs:43,completionMax:83us [00m16s] 5499 ab:aaab=1,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5499 ab:aaab=1,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5500 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:370,nodes:26,pairs:22,completionMax:78us [00m16s] 5500 ab:aaab=1,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5500 ab:aaab=1,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5501 solved: rounds:4,rules:2,peak:6,longest:14,steps:10,word:12,work:940,nodes:36,pairs:19,completionMax:112us [00m16s] 5501 ab:aaab=1,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5501 ab:aaab=1,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5502 solved: rounds:2,rules:2,peak:8,longest:6,steps:17,word:4,work:904,nodes:24,pairs:21,completionMax:67us [00m16s] 5502 ab:aaab=1,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5502 ab:aaab=1,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5503 solved: rounds:4,rules:2,peak:7,longest:15,steps:2,word:12,work:1136,nodes:40,pairs:36,completionMax:130us [00m16s] 5503 ab:aaab=1,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5503 ab:aaab=1,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5504 solved: rounds:3,rules:2,peak:9,longest:10,steps:5,word:6,work:1105,nodes:30,pairs:47,completionMax:134us [00m16s] 5504 ab:aaab=1,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5504 ab:aaab=1,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5505 solved: rounds:5,rules:2,peak:7,longest:14,steps:5,word:10,work:906,nodes:28,pairs:31,completionMax:107us [00m16s] 5505 ab:aaab=1,babbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5505 ab:aaab=1,babbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5506 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:208,nodes:18,pairs:18,completionMax:41us [00m16s] 5506 ab:aaab=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5506 ab:aaab=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5507 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:17,nodes:12,pairs:3,completionMax:10us [00m16s] 5507 ab:aaab=1,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5507 ab:aaab=1,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5508 solved: rounds:3,rules:2,peak:9,longest:6,steps:2,word:2,work:442,nodes:30,pairs:47,completionMax:142us [00m16s] 5508 ab:aaab=1,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5508 ab:aaab=1,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5509 solved: rounds:3,rules:2,peak:8,longest:10,steps:7,word:6,work:853,nodes:26,pairs:45,completionMax:130us [00m16s] 5509 ab:aaab=1,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5509 ab:aaab=1,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5510 solved: rounds:2,rules:2,peak:8,longest:6,steps:17,word:4,work:801,nodes:26,pairs:18,completionMax:75us [00m16s] 5510 ab:aaab=1,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5510 ab:aaab=1,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5511 solved: rounds:4,rules:2,peak:7,longest:14,steps:25,word:12,work:1960,nodes:40,pairs:26,completionMax:133us [00m16s] 5511 ab:aaab=1,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5511 ab:aaab=1,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5512 solved: rounds:4,rules:2,peak:7,longest:10,steps:3,word:6,work:548,nodes:26,pairs:40,completionMax:115us [00m16s] 5512 ab:aaab=1,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5512 ab:aaab=1,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5513 solved: rounds:5,rules:2,peak:7,longest:14,steps:8,word:10,work:1060,nodes:28,pairs:37,completionMax:156us [00m16s] 5513 ab:aaab=1,bbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5513 ab:aaab=1,bbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5514 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:4,work:398,nodes:22,pairs:17,completionMax:47us [00m16s] 5514 ab:aaab=1,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5514 ab:aaab=1,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5515 solved: rounds:3,rules:2,peak:7,longest:10,steps:15,word:12,work:1108,nodes:30,pairs:34,completionMax:107us [00m16s] 5515 ab:aaab=1,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5515 ab:aaab=1,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5516 solved: rounds:4,rules:2,peak:8,longest:10,steps:3,word:6,work:602,nodes:28,pairs:44,completionMax:104us [00m16s] 5516 ab:aaab=1,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5516 ab:aaab=1,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5517 solved: rounds:5,rules:2,peak:8,longest:14,steps:10,word:10,work:1472,nodes:28,pairs:37,completionMax:170us [00m16s] 5517 ab:aaab=1,bbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5517 ab:aaab=1,bbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5518 solved: rounds:3,rules:2,peak:8,longest:10,steps:10,word:18,work:1604,nodes:22,pairs:51,completionMax:123us [00m16s] 5518 ab:aaab=1,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5518 ab:aaab=1,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5519 solved: rounds:5,rules:2,peak:7,longest:14,steps:8,word:10,work:978,nodes:28,pairs:39,completionMax:116us [00m16s] 5519 ab:aaab=1,bbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5519 ab:aaab=1,bbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5520 solved: rounds:5,rules:2,peak:7,longest:14,steps:7,word:10,work:961,nodes:28,pairs:38,completionMax:145us [00m16s] 5520 ab:aaab=1,bbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5520 ab:aaab=1,bbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5521 solved: rounds:6,rules:2,peak:5,longest:18,steps:8,word:14,work:793,nodes:36,pairs:21,completionMax:95us [00m16s] 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [00m16s] # 5522 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:98,nodes:16,pairs:9,completionMax:33us [00m16s] 5522 ab:aaba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5522 ab:aaba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5523 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:174,nodes:16,pairs:17,completionMax:45us [00m16s] 5523 ab:aaba=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5523 ab:aaba=1,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5524 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:25,nodes:8,pairs:4,completionMax:6us [00m16s] 5524 ab:aaba=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5524 ab:aaba=1,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5525 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:235,nodes:18,pairs:18,completionMax:47us [00m16s] 5525 ab:aaba=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5525 ab:aaba=1,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5526 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:4,completionMax:6us [00m16s] 5526 ab:aaba=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5526 ab:aaba=1,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5527 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:8,pairs:2,completionMax:5us [00m16s] 5527 ab:aaba=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5527 ab:aaba=1,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5528 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:406,nodes:18,pairs:36,completionMax:76us [00m16s] 5528 ab:aaba=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5528 ab:aaba=1,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5529 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:254,nodes:20,pairs:14,completionMax:49us [00m16s] 5529 ab:aaba=1,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5529 ab:aaba=1,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5530 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:8,pairs:4,completionMax:7us [00m16s] 5530 ab:aaba=1,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5530 ab:aaba=1,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5531 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:10us [00m16s] 5531 ab:aaba=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5531 ab:aaba=1,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5532 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:16,nodes:10,pairs:3,completionMax:6us [00m16s] 5532 ab:aaba=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5532 ab:aaba=1,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5533 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:157,nodes:14,pairs:15,completionMax:43us [00m16s] 5533 ab:aaba=1,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5533 ab:aaba=1,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5534 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:575,nodes:22,pairs:31,completionMax:99us [00m16s] 5534 ab:aaba=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5534 ab:aaba=1,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5535 solved: rounds:3,rules:2,peak:8,longest:12,steps:17,word:6,work:1109,nodes:36,pairs:22,completionMax:100us [00m16s] 5535 ab:aaba=1,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5535 ab:aaba=1,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5536 solved: rounds:3,rules:2,peak:7,longest:6,steps:8,word:4,work:714,nodes:22,pairs:32,completionMax:88us [00m16s] 5536 ab:aaba=1,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5536 ab:aaba=1,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5537 solved: rounds:6,rules:2,peak:8,longest:10,steps:10,word:6,work:847,nodes:28,pairs:32,completionMax:110us [00m16s] 5537 ab:aaba=1,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5537 ab:aaba=1,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5538 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:244,nodes:18,pairs:25,completionMax:55us [00m16s] 5538 ab:aaba=1,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5538 ab:aaba=1,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5539 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:192,nodes:20,pairs:22,completionMax:41us [00m16s] 5539 ab:aaba=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5539 ab:aaba=1,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5540 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:6us [00m16s] 5540 ab:aaba=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5540 ab:aaba=1,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5541 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:407,nodes:16,pairs:20,completionMax:50us [00m16s] 5541 ab:aaba=1,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5541 ab:aaba=1,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5542 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:341,nodes:20,pairs:31,completionMax:69us [00m16s] 5542 ab:aaba=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5542 ab:aaba=1,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5543 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:119,nodes:20,pairs:12,completionMax:34us [00m16s] 5543 ab:aaba=1,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5543 ab:aaba=1,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5544 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:2,work:524,nodes:20,pairs:21,completionMax:72us [00m16s] 5544 ab:aaba=1,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5544 ab:aaba=1,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5545 solved: rounds:4,rules:2,peak:6,longest:10,steps:5,word:6,work:443,nodes:20,pairs:22,completionMax:68us [00m16s] 5545 ab:aaba=1,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5545 ab:aaba=1,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5546 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:548,nodes:22,pairs:37,completionMax:62us [00m16s] 5546 ab:aaba=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5546 ab:aaba=1,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5547 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:4,work:531,nodes:22,pairs:24,completionMax:69us [00m16s] 5547 ab:aaba=1,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5547 ab:aaba=1,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5548 solved: rounds:4,rules:2,peak:9,longest:9,steps:16,word:6,work:1305,nodes:32,pairs:54,completionMax:158us [00m16s] 5548 ab:aaba=1,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5548 ab:aaba=1,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5549 solved: rounds:6,rules:2,peak:9,longest:10,steps:9,word:6,work:1601,nodes:36,pairs:54,completionMax:143us [00m16s] 5549 ab:aaba=1,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5549 ab:aaba=1,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5550 solved: rounds:5,rules:2,peak:7,longest:6,steps:4,word:2,work:774,nodes:24,pairs:34,completionMax:81us [00m16s] 5550 ab:aaba=1,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5550 ab:aaba=1,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5551 solved: rounds:4,rules:2,peak:12,longest:17,steps:29,word:12,work:9822,nodes:46,pairs:87,completionMax:387us [00m16s] 5551 ab:aaba=1,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5551 ab:aaba=1,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5552 solved: rounds:6,rules:2,peak:10,longest:10,steps:9,word:6,work:2061,nodes:36,pairs:61,completionMax:162us [00m16s] 5552 ab:aaba=1,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5552 ab:aaba=1,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5553 solved: rounds:6,rules:2,peak:11,longest:14,steps:26,word:10,work:3530,nodes:40,pairs:59,completionMax:242us [00m16s] 5553 ab:aaba=1,abbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5553 ab:aaba=1,abbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5554 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:452,nodes:22,pairs:30,completionMax:78us [00m16s] 5554 ab:aaba=1,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5554 ab:aaba=1,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5555 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:228,nodes:22,pairs:22,completionMax:67us [00m16s] 5555 ab:aaba=1,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5555 ab:aaba=1,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5556 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:10,pairs:3,completionMax:8us [00m16s] 5556 ab:aaba=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5556 ab:aaba=1,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5557 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:4,work:486,nodes:26,pairs:16,completionMax:55us [00m16s] 5557 ab:aaba=1,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5557 ab:aaba=1,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5558 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:10,pairs:3,completionMax:13us [00m16s] 5558 ab:aaba=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5558 ab:aaba=1,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5559 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:158,nodes:14,pairs:15,completionMax:29us [00m16s] 5559 ab:aaba=1,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5559 ab:aaba=1,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5560 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:4,work:564,nodes:24,pairs:22,completionMax:58us [00m16s] 5560 ab:aaba=1,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5560 ab:aaba=1,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5561 solved: rounds:3,rules:2,peak:8,longest:10,steps:7,word:12,work:964,nodes:26,pairs:45,completionMax:114us [00m16s] 5561 ab:aaba=1,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5561 ab:aaba=1,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5562 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:359,nodes:22,pairs:28,completionMax:72us [00m16s] 5562 ab:aaba=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5562 ab:aaba=1,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5563 solved: rounds:2,rules:2,peak:4,longest:6,steps:6,word:2,work:181,nodes:18,pairs:13,completionMax:39us [00m16s] 5563 ab:aaba=1,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5563 ab:aaba=1,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5564 solved: rounds:3,rules:2,peak:5,longest:6,steps:6,word:4,work:322,nodes:18,pairs:17,completionMax:61us [00m16s] 5564 ab:aaba=1,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5564 ab:aaba=1,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5565 solved: rounds:3,rules:2,peak:8,longest:10,steps:6,word:12,work:1104,nodes:20,pairs:50,completionMax:109us [00m16s] 5565 ab:aaba=1,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5565 ab:aaba=1,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5566 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:4,work:544,nodes:24,pairs:20,completionMax:70us [00m16s] 5566 ab:aaba=1,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5566 ab:aaba=1,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5567 solved: rounds:3,rules:2,peak:8,longest:10,steps:7,word:18,work:1245,nodes:24,pairs:53,completionMax:146us [00m16s] 5567 ab:aaba=1,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5567 ab:aaba=1,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5568 solved: rounds:3,rules:2,peak:8,longest:10,steps:7,word:18,work:1049,nodes:22,pairs:49,completionMax:138us [00m16s] 5568 ab:aaba=1,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5568 ab:aaba=1,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5569 solved: rounds:5,rules:2,peak:7,longest:14,steps:8,word:10,work:1244,nodes:28,pairs:29,completionMax:110us [00m16s] 5569 ab:aaba=1,babbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5569 ab:aaba=1,babbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5570 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:244,nodes:22,pairs:16,completionMax:40us [00m16s] 5570 ab:aaba=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5570 ab:aaba=1,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5571 solved: rounds:3,rules:2,peak:7,longest:6,steps:15,word:4,work:736,nodes:24,pairs:22,completionMax:59us [00m16s] 5571 ab:aaba=1,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5571 ab:aaba=1,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5572 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:159,nodes:14,pairs:15,completionMax:35us [00m16s] 5572 ab:aaba=1,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5572 ab:aaba=1,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5573 solved: rounds:5,rules:2,peak:8,longest:10,steps:10,word:6,work:1333,nodes:28,pairs:27,completionMax:129us [00m16s] 5573 ab:aaba=1,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5573 ab:aaba=1,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5574 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:4,work:608,nodes:22,pairs:26,completionMax:67us [00m16s] 5574 ab:aaba=1,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5574 ab:aaba=1,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5575 solved: rounds:5,rules:2,peak:7,longest:10,steps:8,word:6,work:1393,nodes:26,pairs:31,completionMax:91us [00m16s] 5575 ab:aaba=1,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5575 ab:aaba=1,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5576 solved: rounds:4,rules:2,peak:10,longest:17,steps:31,word:18,work:5895,nodes:48,pairs:53,completionMax:269us [00m16s] 5576 ab:aaba=1,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5576 ab:aaba=1,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5577 solved: rounds:6,rules:2,peak:10,longest:14,steps:12,word:10,work:4560,nodes:42,pairs:65,completionMax:304us [00m16s] 5577 ab:aaba=1,bbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5577 ab:aaba=1,bbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5578 solved: rounds:5,rules:2,peak:6,longest:6,steps:3,word:2,work:424,nodes:20,pairs:22,completionMax:70us [00m16s] 5578 ab:aaba=1,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 5578 ab:aaba=1,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 5579 solved: rounds:4,rules:2,peak:6,longest:10,steps:8,word:6,work:648,nodes:22,pairs:23,completionMax:81us [00m16s] 5579 ab:aaba=1,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5579 ab:aaba=1,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5580 solved: rounds:4,rules:2,peak:9,longest:10,steps:14,word:6,work:2073,nodes:40,pairs:54,completionMax:171us [00m16s] 5580 ab:aaba=1,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5580 ab:aaba=1,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5581 solved: rounds:6,rules:2,peak:9,longest:14,steps:17,word:10,work:4400,nodes:36,pairs:50,completionMax:186us [00m16s] 5581 ab:aaba=1,bbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5581 ab:aaba=1,bbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5582 solved: rounds:5,rules:2,peak:6,longest:10,steps:5,word:6,work:591,nodes:20,pairs:26,completionMax:80us [00m16s] 5582 ab:aaba=1,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaa [00m16s] from: 5582 ab:aaba=1,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b3;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbb,b=b [00m16s] # 5583 solved: rounds:8,rules:2,peak:7,longest:14,steps:8,word:10,work:1674,nodes:28,pairs:31,completionMax:173us [00m16s] 5583 ab:aaba=1,bbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5583 ab:aaba=1,bbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5584 solved: rounds:7,rules:2,peak:6,longest:14,steps:8,word:10,work:1739,nodes:28,pairs:47,completionMax:124us [00m16s] 5584 ab:aaba=1,bbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [00m16s] from: 5584 ab:aaba=1,bbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b9;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbb,b=b [00m16s] # 5585 solved: rounds:8,rules:2,peak:8,longest:18,steps:12,word:14,work:2266,nodes:38,pairs:24,completionMax:214us [00m16s] 5585 ab:aaba=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [00m16s] from: 5585 ab:aaba=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaaaaa [00m16s] # 5586 solved: rounds:3,rules:3,peak:5,longest:7,steps:4,word:2,work:353,nodes:22,pairs:14,completionMax:64us [00m16s] 5586 ab:aabb=1,aaaaaa=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m16s] from: 5586 ab:aabb=1,aaaaaa=1 infinite;group:a-aaaaa,b-baa to: 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a=a,b=b [00m16s] # 5587 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:2,work:17,nodes:16,pairs:3,completionMax:12us [00m16s] 5587 ab:aabb=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5587 ab:aabb=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5588 solved: rounds:4,rules:2,peak:8,longest:13,steps:5,word:4,work:2054,nodes:50,pairs:45,completionMax:172us [00m16s] 5588 ab:aabb=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5588 ab:aabb=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5589 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:4us [00m16s] 5589 ab:aabb=1,aaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5589 ab:aabb=1,aaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5590 solved: rounds:3,rules:2,peak:9,longest:11,steps:8,word:4,work:1648,nodes:40,pairs:64,completionMax:161us [00m16s] 5590 ab:aabb=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5590 ab:aabb=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5591 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [00m16s] 5591 ab:aabb=1,aaabab=1 infinite ab - - ab:aabb=1,aaabab=1 [00m16s] # 5592 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:5us [00m16s] 5592 ab:aabb=1,aaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5592 ab:aabb=1,aaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5593 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [00m16s] 5593 ab:aabb=1,aaabbb=1 infinite ab - - ab:ab=1 [00m16s] from: 5593 ab:aabb=1,aaabbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 5594 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:4,work:616,nodes:26,pairs:20,completionMax:73us [00m16s] 5594 ab:aabb=1,aabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5594 ab:aabb=1,aabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5595 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:13,nodes:12,pairs:5,completionMax:21us [00m16s] 5595 ab:aabb=1,aabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5595 ab:aabb=1,aabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5596 solved: rounds:3,rules:3,peak:11,longest:6,steps:7,word:4,work:1929,nodes:30,pairs:57,completionMax:154us [00m16s] 5596 ab:aabb=1,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5596 ab:aabb=1,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5597 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [00m16s] 5597 ab:aabb=1,aababb=1 infinite ab - - ab:aabb=1,aababb=1 [00m16s] # 5598 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:7us [00m16s] 5598 ab:aabb=1,aabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5598 ab:aabb=1,aabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5599 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [00m16s] 5599 ab:aabb=1,aabbab=1 infinite ab - - ab:ab=1 [00m16s] from: 5599 ab:aabb=1,aabbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 5600 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:14,nodes:12,pairs:6,completionMax:17us [00m16s] 5600 ab:aabb=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5600 ab:aabb=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5601 solved: rounds:3,rules:2,peak:9,longest:13,steps:5,word:10,work:1936,nodes:46,pairs:26,completionMax:164us [00m16s] 5601 ab:aabb=1,abaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5601 ab:aabb=1,abaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5602 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:2,work:289,nodes:18,pairs:16,completionMax:43us [00m16s] 5602 ab:aabb=1,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5602 ab:aabb=1,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5603 solved: rounds:4,rules:2,peak:8,longest:6,steps:2,word:0,work:541,nodes:26,pairs:46,completionMax:88us [00m16s] 5603 ab:aabb=1,abaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5603 ab:aabb=1,abaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5604 solved: rounds:4,rules:3,peak:9,longest:6,steps:7,word:4,work:1589,nodes:26,pairs:48,completionMax:159us [00m16s] 5604 ab:aabb=1,ababaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5604 ab:aabb=1,ababaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5605 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:2us [00m16s] 5605 ab:aabb=1,ababab=1 infinite ab - - ab:aabb=1,ababab=1 [00m16s] # 5606 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:472,nodes:26,pairs:17,completionMax:49us [00m16s] 5606 ab:aabb=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5606 ab:aabb=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5607 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:286,nodes:20,pairs:22,completionMax:42us [00m16s] 5607 ab:aabb=1,abbaaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5607 ab:aabb=1,abbaaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5608 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:38,nodes:16,pairs:9,completionMax:15us [00m16s] 5608 ab:aabb=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5608 ab:aabb=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5609 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:256,nodes:20,pairs:12,completionMax:30us [00m16s] 5609 ab:aabb=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5609 ab:aabb=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5610 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:221,nodes:22,pairs:20,completionMax:36us [00m16s] 5610 ab:aabb=1,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5610 ab:aabb=1,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5611 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:104,nodes:20,pairs:14,completionMax:23us [00m16s] 5611 ab:aabb=1,abbbba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5611 ab:aabb=1,abbbba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5612 solved: rounds:2,rules:2,peak:6,longest:8,steps:4,word:2,work:371,nodes:32,pairs:15,completionMax:55us [00m16s] 5612 ab:aabb=1,baaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5612 ab:aabb=1,baaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5613 solved: rounds:2,rules:3,peak:7,longest:9,steps:7,word:12,work:957,nodes:20,pairs:16,completionMax:59us [00m16s] 5613 ab:aabb=1,baaaba=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5613 ab:aabb=1,baaaba=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5614 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:294,nodes:22,pairs:20,completionMax:46us [00m16s] 5614 ab:aabb=1,baabaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5614 ab:aabb=1,baabaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5615 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:15,nodes:12,pairs:6,completionMax:13us [00m16s] 5615 ab:aabb=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5615 ab:aabb=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5616 solved: rounds:2,rules:3,peak:9,longest:6,steps:6,word:6,work:1117,nodes:24,pairs:18,completionMax:75us [00m16s] 5616 ab:aabb=1,babaaa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5616 ab:aabb=1,babaaa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5617 solved: rounds:3,rules:5,peak:9,longest:6,steps:3,word:0,work:861,nodes:28,pairs:35,completionMax:115us [00m16s] 5617 ab:aabb=1,bababa=1 infinite;group:a-abb,b-aab ab - - ab:baa=aab,bba=abb,aabb=1,abab=ba,baba=ab [00m16s] from: 5617 ab:aabb=1,bababa=1 infinite;group:a-abb,b-aab to: 3940 ab:abab=ba,abba=1 infinite;group:a-abb,b-aab a=a,b=b [00m16s] # 5618 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:349,nodes:26,pairs:18,completionMax:47us [00m16s] 5618 ab:aabb=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5618 ab:aabb=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5619 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:395,nodes:22,pairs:20,completionMax:41us [00m16s] 5619 ab:aabb=1,bbaaaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5619 ab:aabb=1,bbaaaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5620 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:368,nodes:24,pairs:20,completionMax:56us [00m16s] 5620 ab:aabb=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5620 ab:aabb=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5621 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:308,nodes:22,pairs:18,completionMax:45us [00m16s] 5621 ab:aabb=1,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5621 ab:aabb=1,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5622 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:33,nodes:20,pairs:1,completionMax:17us [00m16s] 5622 ab:abab=1,aaaaaa=1 infinite;group:a-aaaaa,b-aba a/b - - ab:aaaaaa=1,bab=aaaaa [00m16s] # 5623 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:2,work:24,nodes:16,pairs:4,completionMax:17us [00m16s] 5623 ab:abab=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5623 ab:abab=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5624 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:4,work:44,nodes:16,pairs:6,completionMax:17us [00m16s] 5624 ab:abab=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5624 ab:abab=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5625 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:3us [00m16s] 5625 ab:abab=1,aaaabb=1 infinite ab - - ab:abab=1,aaaabb=1 [00m16s] # 5626 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:2,work:523,nodes:24,pairs:17,completionMax:64us [00m16s] 5626 ab:abab=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5626 ab:abab=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5627 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:12,pairs:1,completionMax:8us [00m16s] 5627 ab:abab=1,aaabab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5627 ab:abab=1,aaabab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5628 solved: rounds:5,rules:3,peak:12,longest:11,steps:12,word:6,work:3651,nodes:54,pairs:57,completionMax:283us [00m16s] 5628 ab:abab=1,aaabba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m16s] from: 5628 ab:abab=1,aaabba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 5629 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:2us [00m16s] 5629 ab:abab=1,aaabbb=1 infinite ab - - ab:abab=1,aaabbb=1 [00m16s] # 5630 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:4,work:1048,nodes:28,pairs:26,completionMax:127us [00m16s] 5630 ab:abab=1,aabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5630 ab:abab=1,aabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5631 solved: rounds:4,rules:2,peak:4,longest:6,steps:1,word:0,work:65,nodes:16,pairs:10,completionMax:22us [00m16s] 5631 ab:abab=1,aabaab=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m16s] from: 5631 ab:abab=1,aabaab=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m16s] # 5632 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:8us [00m16s] 5632 ab:abab=1,aababa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5632 ab:abab=1,aababa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5633 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:4us [00m16s] 5633 ab:abab=1,aababb=1 infinite ab - - ab:ab=1 [00m16s] from: 5633 ab:abab=1,aababb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 5634 solved: rounds:3,rules:3,peak:8,longest:24,steps:15,word:18,work:3017,nodes:68,pairs:38,completionMax:150us [00m16s] 5634 ab:abab=1,aabbaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m16s] from: 5634 ab:abab=1,aabbaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 5635 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:4,nodes:16,pairs:1,completionMax:4us [00m16s] 5635 ab:abab=1,aabbab=1 infinite ab - - ab:aabb=ab,abab=1 [00m16s] from: 5635 ab:abab=1,aabbab=1 infinite to: 3898 ab:aabb=ab,abab=1 infinite a=a,b=b [00m16s] # 5636 solved: rounds:4,rules:9,peak:9,longest:6,steps:3,word:0,work:1081,nodes:32,pairs:25,completionMax:92us [00m16s] 5636 ab:abab=1,aabbba=1 infinite;group:a-bab,b-aba ab - - ab:aabb=ba,abab=1,baaa=aaab,baab=abba,baba=1,bbaa=ab,bbba=abbb,abbab=bba,babba=abb [00m16s] from: 5636 ab:abab=1,aabbba=1 infinite;group:a-bab,b-aba to: 3911 ab:aabb=ba,baba=1 infinite;group:a-bab,b-aba a=a,b=b [00m16s] # 5637 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:168,nodes:24,pairs:11,completionMax:33us [00m16s] 5637 ab:abab=1,abaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5637 ab:abab=1,abaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5638 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:187,nodes:16,pairs:14,completionMax:41us [00m16s] 5638 ab:abab=1,abaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5638 ab:abab=1,abaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5639 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:51,nodes:12,pairs:12,completionMax:16us [00m16s] 5639 ab:abab=1,abaaba=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m16s] from: 5639 ab:abab=1,abaaba=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m16s] # 5640 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:12,pairs:1,completionMax:6us [00m16s] 5640 ab:abab=1,ababaa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5640 ab:abab=1,ababaa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5641 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:3us [00m16s] 5641 ab:abab=1,ababab=1 infinite ab - - ab:ab=1 [00m16s] from: 5641 ab:abab=1,ababab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 5642 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:6us [00m16s] 5642 ab:abab=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5642 ab:abab=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5643 solved: rounds:3,rules:3,peak:5,longest:13,steps:16,word:26,work:1422,nodes:40,pairs:17,completionMax:67us [00m16s] 5643 ab:abab=1,abbaaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m16s] from: 5643 ab:abab=1,abbaaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 5644 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:122,nodes:20,pairs:10,completionMax:23us [00m16s] 5644 ab:abab=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5644 ab:abab=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5645 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:95,nodes:20,pairs:11,completionMax:25us [00m16s] 5645 ab:abab=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5645 ab:abab=1,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5646 solved: rounds:4,rules:9,peak:13,longest:6,steps:4,word:0,work:2292,nodes:42,pairs:58,completionMax:163us [00m16s] 5646 ab:abab=1,abbbaa=1 infinite;group:a-bab,b-aba ab - - ab:aabb=ba,abab=1,baaa=aaab,baab=abba,baba=1,bbaa=ab,bbba=abbb,abbab=bba,babba=abb [00m16s] from: 5646 ab:abab=1,abbbaa=1 infinite;group:a-bab,b-aba to: 3911 ab:aabb=ba,baba=1 infinite;group:a-bab,b-aba a=a,b=b [00m16s] # 5647 solved: rounds:4,rules:3,peak:11,longest:11,steps:10,word:8,work:2693,nodes:56,pairs:28,completionMax:175us [00m16s] 5647 ab:abab=1,abbbba=1 finite:16;center:1,bbbb;group:a-abbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbb,aa=bbbb [00m16s] from: 5647 ab:abab=1,abbbba=1 finite:16;center:1,bbbb;group:a-abbbb,b-bbbbbbb to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=b,b=a [00m16s] # 5648 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:4,work:204,nodes:28,pairs:12,completionMax:40us [00m16s] 5648 ab:abab=1,baaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5648 ab:abab=1,baaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5649 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:99,nodes:22,pairs:15,completionMax:40us [00m16s] 5649 ab:abab=1,baaaba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5649 ab:abab=1,baaaba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5650 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:456,nodes:24,pairs:33,completionMax:89us [00m16s] 5650 ab:abab=1,baabaa=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m16s] from: 5650 ab:abab=1,baabaa=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m16s] # 5651 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:453,nodes:28,pairs:19,completionMax:75us [00m16s] 5651 ab:abab=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5651 ab:abab=1,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5652 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:125,nodes:20,pairs:11,completionMax:31us [00m16s] 5652 ab:abab=1,babaaa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5652 ab:abab=1,babaaa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5653 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:9us [00m16s] 5653 ab:abab=1,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5653 ab:abab=1,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5654 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:77,nodes:18,pairs:10,completionMax:20us [00m16s] 5654 ab:abab=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5654 ab:abab=1,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5655 solved: rounds:3,rules:3,peak:8,longest:9,steps:11,word:8,work:1481,nodes:50,pairs:24,completionMax:140us [00m16s] 5655 ab:abab=1,bbaaaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaa,bb=aaaa [00m16s] from: 5655 ab:abab=1,bbaaaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 3808 ab:aaab=ba,abab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 5656 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:173,nodes:26,pairs:15,completionMax:43us [00m16s] 5656 ab:abab=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5656 ab:abab=1,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5657 solved: rounds:4,rules:9,peak:18,longest:7,steps:4,word:0,work:5539,nodes:64,pairs:121,completionMax:467us [00m16s] 5657 ab:abab=1,bbbaaa=1 infinite;group:a-bab,b-aba ab - - ab:aabb=ba,abab=1,baaa=aaab,baab=abba,baba=1,bbaa=ab,bbba=abbb,abbab=bba,babba=abb [00m16s] from: 5657 ab:abab=1,bbbaaa=1 infinite;group:a-bab,b-aba to: 3911 ab:aabb=ba,baba=1 infinite;group:a-bab,b-aba a=a,b=b [00m16s] # 5658 solved: rounds:4,rules:3,peak:6,longest:8,steps:5,word:2,work:1418,nodes:28,pairs:43,completionMax:175us [00m16s] 5658 ab:abba=1,aaaaaa=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m16s] from: 5658 ab:abba=1,aaaaaa=1 infinite;group:a-aaaaa,b-baa to: 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a=a,b=b [00m16s] # 5659 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:4,work:245,nodes:20,pairs:15,completionMax:39us [00m16s] 5659 ab:abba=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5659 ab:abba=1,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5660 solved: rounds:4,rules:2,peak:10,longest:14,steps:7,word:4,work:2773,nodes:46,pairs:47,completionMax:193us [00m16s] 5660 ab:abba=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5660 ab:abba=1,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5661 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:122,nodes:20,pairs:14,completionMax:41us [00m16s] 5661 ab:abba=1,aaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5661 ab:abba=1,aaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5662 solved: rounds:3,rules:2,peak:10,longest:11,steps:10,word:4,work:3366,nodes:42,pairs:50,completionMax:158us [00m16s] 5662 ab:abba=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5662 ab:abba=1,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5663 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:2,work:534,nodes:24,pairs:43,completionMax:115us [00m16s] 5663 ab:abba=1,aaabab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5663 ab:abba=1,aaabab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5664 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:46,nodes:12,pairs:7,completionMax:17us [00m16s] 5664 ab:abba=1,aaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5664 ab:abba=1,aaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5665 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:163,nodes:24,pairs:19,completionMax:32us [00m16s] 5665 ab:abba=1,aaabbb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5665 ab:abba=1,aaabbb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5666 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:302,nodes:24,pairs:26,completionMax:62us [00m16s] 5666 ab:abba=1,aabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5666 ab:abba=1,aabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5667 solved: rounds:5,rules:3,peak:8,longest:6,steps:9,word:6,work:1934,nodes:28,pairs:62,completionMax:212us [00m16s] 5667 ab:abba=1,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5667 ab:abba=1,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5668 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:172,nodes:24,pairs:15,completionMax:46us [00m16s] 5668 ab:abba=1,aababb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5668 ab:abba=1,aababb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5669 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:12,pairs:7,completionMax:21us [00m16s] 5669 ab:abba=1,aabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5669 ab:abba=1,aabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5670 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:2,completionMax:5us [00m16s] 5670 ab:abba=1,aabbab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5670 ab:abba=1,aabbab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5671 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:209,nodes:24,pairs:16,completionMax:31us [00m16s] 5671 ab:abba=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5671 ab:abba=1,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5672 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:144,nodes:22,pairs:10,completionMax:24us [00m16s] 5672 ab:abba=1,aabbbb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5672 ab:abba=1,aabbbb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5673 solved: rounds:3,rules:3,peak:11,longest:6,steps:4,word:2,work:1232,nodes:26,pairs:68,completionMax:223us [00m16s] 5673 ab:abba=1,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5673 ab:abba=1,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5674 solved: rounds:4,rules:2,peak:8,longest:6,steps:3,word:0,work:851,nodes:28,pairs:43,completionMax:84us [00m16s] 5674 ab:abba=1,abaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5674 ab:abba=1,abaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5675 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:194,nodes:24,pairs:14,completionMax:28us [00m16s] 5675 ab:abba=1,abaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5675 ab:abba=1,abaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5676 solved: rounds:3,rules:5,peak:6,longest:6,steps:3,word:0,work:335,nodes:22,pairs:15,completionMax:33us [00m16s] 5676 ab:abba=1,ababab=1 infinite;group:a-abb,b-aab ab - - ab:baa=aab,bba=abb,aabb=1,abab=ba,baba=ab [00m16s] from: 5676 ab:abba=1,ababab=1 infinite;group:a-abb,b-aab to: 3940 ab:abab=ba,abba=1 infinite;group:a-abb,b-aab a=a,b=b [00m16s] # 5677 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:3us [00m16s] 5677 ab:abba=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5677 ab:abba=1,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5678 solved: rounds:3,rules:3,peak:7,longest:6,steps:9,word:6,work:813,nodes:22,pairs:23,completionMax:73us [00m16s] 5678 ab:abba=1,ababbb=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5678 ab:abba=1,ababbb=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5679 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:2,completionMax:6us [00m16s] 5679 ab:abba=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5679 ab:abba=1,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5680 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:3us [00m16s] 5680 ab:abba=1,abbabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5680 ab:abba=1,abbabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5681 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:2,work:553,nodes:20,pairs:23,completionMax:60us [00m16s] 5681 ab:abba=1,abbbab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5681 ab:abba=1,abbbab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5682 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:179,nodes:16,pairs:11,completionMax:30us [00m16s] 5682 ab:abba=1,abbbba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5682 ab:abba=1,abbbba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5683 solved: rounds:2,rules:2,peak:8,longest:14,steps:10,word:10,work:1901,nodes:40,pairs:13,completionMax:96us [00m16s] 5683 ab:abba=1,abbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5683 ab:abba=1,abbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5684 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:348,nodes:24,pairs:25,completionMax:56us [00m16s] 5684 ab:abba=1,baaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5684 ab:abba=1,baaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5685 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:169,nodes:24,pairs:21,completionMax:47us [00m16s] 5685 ab:abba=1,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5685 ab:abba=1,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5686 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:445,nodes:22,pairs:29,completionMax:50us [00m16s] 5686 ab:abba=1,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 5686 ab:abba=1,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 5687 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:326,nodes:24,pairs:24,completionMax:58us [00m16s] 5687 ab:abba=1,baabbb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5687 ab:abba=1,baabbb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5688 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:2,work:324,nodes:18,pairs:20,completionMax:54us [00m16s] 5688 ab:abba=1,bababb=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 5688 ab:abba=1,bababb=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 5689 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:6us [00m16s] 5689 ab:abba=1,babbab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5689 ab:abba=1,babbab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5690 solved: rounds:4,rules:2,peak:9,longest:12,steps:19,word:6,work:4613,nodes:42,pairs:45,completionMax:201us [00m16s] 5690 ab:abba=1,babbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5690 ab:abba=1,babbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5691 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:174,nodes:20,pairs:19,completionMax:37us [00m16s] 5691 ab:abba=1,bbaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5691 ab:abba=1,bbaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5692 solved: rounds:2,rules:2,peak:6,longest:8,steps:5,word:4,work:641,nodes:24,pairs:28,completionMax:90us [00m16s] 5692 ab:abba=1,bbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 5692 ab:abba=1,bbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 5693 solved: rounds:5,rules:3,peak:7,longest:10,steps:13,word:4,work:1383,nodes:34,pairs:29,completionMax:76us [00m16s] 5693 ab:abba=1,bbbbbb=1 infinite;group:a-aaaaa,b-baa a/b - - ab:aaaaaa=1,aab=baa,bb=aaaa [00m16s] from: 5693 ab:abba=1,bbbbbb=1 infinite;group:a-aaaaa,b-baa to: 3770 ab:aaaa=bb,aabb=1 infinite;group:a-aaaaa,b-baa a=a,b=b [00m16s] # 5694 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m16s] 5694 ab:aaaa=1,aaaaa=a infinite ab - - ab:aaaa=1 [00m16s] # 5695 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m16s] 5695 ab:aaaa=1,aaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5695 ab:aaaa=1,aaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5696 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [00m16s] 5696 ab:aaaa=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5696 ab:aaaa=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5697 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m16s] 5697 ab:aaaa=1,aaaab=b infinite ab - - ab:aaaa=1 [00m16s] from: 5697 ab:aaaa=1,aaaab=b infinite to: 5694 ab:aaaa=1,aaaaa=a infinite a=a,b=1 [00m16s] # 5698 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:71,nodes:12,pairs:8,completionMax:20us [00m16s] 5698 ab:aaaa=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5698 ab:aaaa=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5699 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:81,nodes:12,pairs:5,completionMax:9us [00m16s] 5699 ab:aaaa=1,aaaba=b infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 ab - - ab:ba=ab,aaaa=1 [00m16s] from: 5699 ab:aaaa=1,aaaba=b infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 to: 618 ab:ba=ab,aaaa=1 infinite;commutative:ab:a4=1;saturation:ab:b4=1;cancellative;smith:4,0 a=a,b=b [00m16s] # 5700 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:64,nodes:12,pairs:5,completionMax:11us [00m16s] 5700 ab:aaaa=1,aaabb=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5700 ab:aaaa=1,aaabb=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5701 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:61,nodes:16,pairs:4,completionMax:13us [00m16s] 5701 ab:aaaa=1,aaabb=b finite:20;idempotents:1,baaa,bbaa,bbba,bbbb ba - - ab:ab=bb,aaaa=1,bbbbb=b [00m16s] from: 5701 ab:aaaa=1,aaabb=b finite:20;idempotents:1,baaa,bbaa,bbba,bbbb to: 4054 ab:abb=aab,aaaa=1 finite:20;idempotents:1,baaa,bbaa,bbba,bbbb a=a,b=b [00m16s] # 5702 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:159,nodes:16,pairs:11,completionMax:28us [00m16s] 5702 ab:aaaa=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5702 ab:aaaa=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5703 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:66,nodes:16,pairs:6,completionMax:14us [00m16s] 5703 ab:aaaa=1,aabaa=b infinite ab - - ab:baa=aab,aaaa=1 [00m16s] from: 5703 ab:aaaa=1,aabaa=b infinite to: 4080 ab:baa=aab,aaaa=1 infinite a=a,b=b [00m16s] # 5704 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:32,nodes:16,pairs:2,completionMax:14us [00m16s] 5704 ab:aaaa=1,aabab=a infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m16s] from: 5704 ab:aaaa=1,aabab=a infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m16s] # 5705 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:54,nodes:16,pairs:4,completionMax:14us [00m16s] 5705 ab:aaaa=1,aabab=b infinite ab - - ab:bab=aab,aaaa=1,baaab=b [00m16s] from: 5705 ab:aaaa=1,aabab=b infinite to: 4079 ab:abb=aba,bbbb=1 infinite anti:a=b,b=a [00m16s] # 5706 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:245,nodes:18,pairs:20,completionMax:42us [00m16s] 5706 ab:aaaa=1,aabba=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5706 ab:aaaa=1,aabba=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5707 solved: rounds:5,rules:6,peak:11,longest:8,steps:10,word:0,work:3356,nodes:52,pairs:29,completionMax:158us [00m16s] 5707 ab:aaaa=1,aabba=b finite:44;idempotents:1,abab,baba reversed:ab - - ab:aab=bba,aaaa=1,bbab=baaa,bbbb=baba,babab=b,babbb=bbbaa [00m16s] from: 5707 ab:aaaa=1,aabba=b finite:44;idempotents:1,abab,baba to: 4090 ab:baa=abb,aaaa=1 finite:44;idempotents:1,abab,baba anti:a=a,b=b [00m16s] # 5708 solved: rounds:4,rules:2,peak:4,longest:12,steps:2,word:8,work:158,nodes:24,pairs:16,completionMax:38us [00m16s] 5708 ab:aaaa=1,aabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m16s] from: 5708 ab:aaaa=1,aabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m16s] # 5709 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:44,nodes:16,pairs:5,completionMax:11us [00m16s] 5709 ab:aaaa=1,aabbb=b infinite ba - - ab:aab=bbb,aaaa=1,bbbbb=b [00m16s] # 5710 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:182,nodes:20,pairs:10,completionMax:37us [00m16s] 5710 ab:aaaa=1,abaab=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5710 ab:aaaa=1,abaab=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5711 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:338,nodes:24,pairs:11,completionMax:33us [00m16s] 5711 ab:aaaa=1,abaab=b finite:20;idempotents:1,baaa,bbaa,bbba,bbbb ba - - ab:ab=bb,aaaa=1,bbbbb=b [00m16s] from: 5711 ab:aaaa=1,abaab=b finite:20;idempotents:1,baaa,bbaa,bbba,bbbb to: 4054 ab:abb=aab,aaaa=1 finite:20;idempotents:1,baaa,bbaa,bbba,bbbb a=a,b=b [00m16s] # 5712 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:73,nodes:20,pairs:4,completionMax:36us [00m16s] 5712 ab:aaaa=1,ababa=a infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m16s] from: 5712 ab:aaaa=1,ababa=a infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m16s] # 5713 solved: rounds:5,rules:10,peak:15,longest:13,steps:24,word:4,work:13155,nodes:126,pairs:53,completionMax:525us [00m16s] 5713 ab:aaaa=1,ababa=b finite:100;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bba=abb,baabbbbbbbb=baa,aaab=baba,ababa=b,baaa=abab,aaaa=1,abaaba=baabbbbbbb,baabaa=aabaabbbbb [00m16s] # 5714 solved: rounds:7,rules:2,peak:4,longest:12,steps:8,word:8,work:457,nodes:24,pairs:13,completionMax:48us [00m16s] 5714 ab:aaaa=1,ababb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m16s] from: 5714 ab:aaaa=1,ababb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m16s] # 5715 solved: rounds:3,rules:5,peak:5,longest:7,steps:2,word:0,work:265,nodes:20,pairs:6,completionMax:28us [00m16s] 5715 ab:aaaa=1,ababb=b infinite ab - - ab:aaaa=1,babb=aaab,babab=b,babaab=ab,babaaab=aab [00m16s] # 5716 solved: rounds:6,rules:2,peak:5,longest:12,steps:8,word:8,work:598,nodes:24,pairs:20,completionMax:61us [00m16s] 5716 ab:aaaa=1,abbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m16s] from: 5716 ab:aaaa=1,abbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m16s] # 5717 solved: rounds:2,rules:4,peak:6,longest:6,steps:5,word:0,work:355,nodes:26,pairs:9,completionMax:48us [00m16s] 5717 ab:aaaa=1,abbab=b infinite b/a - - ab:bbbbb=b,bbab=abbb,aab=bbb,aaaa=1 [00m16s] # 5718 solved: rounds:5,rules:2,peak:5,longest:12,steps:8,word:8,work:333,nodes:24,pairs:12,completionMax:56us [00m16s] 5718 ab:aaaa=1,abbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbb [00m16s] from: 5718 ab:aaaa=1,abbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbb,b=b [00m16s] # 5719 solved: rounds:6,rules:17,peak:44,longest:21,steps:83,word:30,work:266622,nodes:402,pairs:856,completionMax:12134us [00m16s] 5719 ab:aaaa=1,abbba=b infinite cb/a abbabbabba=c frequency:10/0 abc:bc=cb,ccbb=c,cbbb=b,cacbb=ca,bacbb=ba,cca=acc,bba=cabbbb,ccba=bacc,acba=ccb,caacbb=caa,baa=acabbbbbbb,baca=caaccb,aaac=cbab,aaab=cbabbbb,acaca=baccccccb,caaa=bacb,aaaa=1 [00m16s] from: 5719 ab:aaaa=1,abbba=b infinite to: 4107 ab:bab=aaa,bbbb=1 infinite a=c,b=a,c=d [00m16s] # 5720 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:4,nodes:20,pairs:1,completionMax:11us [00m16s] 5720 ab:aaaa=1,abbbb=a infinite;group:a-aaa,b-bbb ab - - ab:aaaa=1,bbbb=1 [00m16s] from: 5720 ab:aaaa=1,abbbb=a infinite;group:a-aaa,b-bbb to: 461 ab:aaaa=1,bbbb=1 infinite;group:a-aaa,b-bbb a=a,b=b [00m16s] # 5721 solved: rounds:4,rules:3,peak:4,longest:13,steps:2,word:12,work:135,nodes:32,pairs:6,completionMax:35us [00m16s] 5721 ab:aaaa=1,abbbb=b finite:52;idempotents:1,bbba,bbbbbbaa,bbbbbbbbbaaa,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbbbbbbb,aaaa=1 [00m16s] # 5722 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:9,nodes:16,pairs:0,completionMax:4us [00m16s] 5722 ab:aaaa=1,baaab=a infinite;group:a-aaa,b-aaabaaa ab - - ab:aaaa=1,baaab=a [00m16s] # 5723 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:16,pairs:0,completionMax:3us [00m16s] 5723 ab:aaaa=1,baaab=b infinite ab - - ab:aaaa=1,baaab=b [00m16s] # 5724 solved: rounds:5,rules:6,peak:31,longest:15,steps:10,word:16,work:74139,nodes:170,pairs:609,completionMax:5004us [00m16s] 5724 ab:aaaa=1,baabb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=bbbabbbbbb,aba=bbbbbbb,abba=bbabbbbbbbbb,abbba=babbbbbbbbbbb [00m16s] # 5725 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:16,pairs:0,completionMax:4us [00m16s] 5725 ab:aaaa=1,baabb=b infinite ab - - ab:aaaa=1,baabb=b [00m16s] # 5726 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:50,nodes:16,pairs:2,completionMax:9us [00m16s] 5726 ab:aaaa=1,babab=a infinite;group:a-aaa,b-aaababa ab - - ab:baa=aab,aaaa=1,babab=a [00m16s] # 5727 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:16,pairs:0,completionMax:3us [00m16s] 5727 ab:aaaa=1,babab=b infinite ab - - ab:aaaa=1,babab=b [00m16s] # 5728 solved: rounds:5,rules:3,peak:14,longest:80,steps:69,word:220,work:189286,nodes:300,pairs:100,completionMax:12824us [00m16s] 5728 ab:aaaa=1,babbb=a finite:320;center:1,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaaa=1 [00m16s] # 5729 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:16,pairs:0,completionMax:4us [00m16s] 5729 ab:aaaa=1,babbb=b infinite ab - - ab:aaaa=1,babbb=b [00m16s] # 5730 solved: rounds:2,rules:6,peak:8,longest:7,steps:7,word:4,work:335,nodes:24,pairs:8,completionMax:39us [00m16s] 5730 ab:aaaa=1,bbabb=a infinite;group:a-aaa,b-baaaca,c-aaaca ac/b bb=c frequency:2/0 abc:caa=aac,cac=a,aaaa=1,cb=bc,cab=abaaaca,bb=c [00m16s] # 5731 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:171,nodes:20,pairs:5,completionMax:28us [00m16s] 5731 ab:aaaa=1,bbabb=b infinite ab - - ab:aaaa=1,bbab=babb,babbb=b [00m16s] # 5732 solved: rounds:1,rules:2,peak:2,longest:20,steps:3,word:12,work:214,nodes:40,pairs:4,completionMax:31us [00m16s] 5732 ab:aaaa=1,bbbbb=a finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b5;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbb [00m16s] from: 5732 ab:aaaa=1,bbbbb=a finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b5;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbb,b=b [00m16s] # 5733 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:16,pairs:0,completionMax:7us [00m16s] 5733 ab:aaaa=1,bbbbb=b infinite ab - - ab:aaaa=1,bbbbb=b [00m16s] # 5734 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:53,nodes:10,pairs:5,completionMax:16us [00m16s] 5734 ab:aaab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5734 ab:aaab=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5735 solved: rounds:1,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:16,pairs:1,completionMax:6us [00m16s] 5735 ab:aaab=1,aaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5735 ab:aaab=1,aaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5736 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:0us [00m16s] 5736 ab:aaab=1,aaaab=a infinite ab - - ab:aaab=1 [00m16s] # 5737 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:3us [00m16s] 5737 ab:aaab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5737 ab:aaab=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5738 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:0us [00m16s] 5738 ab:aaab=1,aaaba=a infinite ab - - ab:aaab=1 [00m16s] from: 5738 ab:aaab=1,aaaba=a infinite to: 5736 ab:aaab=1,aaaab=a infinite a=a,b=b [00m16s] # 5739 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:6us [00m16s] 5739 ab:aaab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5739 ab:aaab=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5740 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:4us [00m16s] 5740 ab:aaab=1,aaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5740 ab:aaab=1,aaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5741 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:0us [00m16s] 5741 ab:aaab=1,aaabb=b infinite ab - - ab:aaab=1 [00m16s] from: 5741 ab:aaab=1,aaabb=b infinite to: 5736 ab:aaab=1,aaaab=a infinite a=a,b=b [00m16s] # 5742 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:133,nodes:16,pairs:9,completionMax:35us [00m16s] 5742 ab:aaab=1,aabaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5742 ab:aaab=1,aabaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5743 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:200,nodes:16,pairs:14,completionMax:37us [00m16s] 5743 ab:aaab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5743 ab:aaab=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5744 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:12,pairs:4,completionMax:14us [00m16s] 5744 ab:aaab=1,aabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5744 ab:aaab=1,aabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5745 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m16s] 5745 ab:aaab=1,aabab=b infinite ab - - ab:aaab=1,aabab=b [00m16s] # 5746 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:132,nodes:14,pairs:11,completionMax:27us [00m16s] 5746 ab:aaab=1,aabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5746 ab:aaab=1,aabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5747 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:73,nodes:14,pairs:3,completionMax:10us [00m16s] 5747 ab:aaab=1,aabba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5747 ab:aaab=1,aabba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5748 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:4,work:103,nodes:20,pairs:7,completionMax:28us [00m16s] 5748 ab:aaab=1,aabbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5748 ab:aaab=1,aabbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5749 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:50,nodes:14,pairs:5,completionMax:16us [00m16s] 5749 ab:aaab=1,aabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5749 ab:aaab=1,aabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5750 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:296,nodes:18,pairs:12,completionMax:30us [00m16s] 5750 ab:aaab=1,abaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5750 ab:aaab=1,abaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5751 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:401,nodes:20,pairs:21,completionMax:54us [00m16s] 5751 ab:aaab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5751 ab:aaab=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5752 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:83,nodes:14,pairs:11,completionMax:19us [00m16s] 5752 ab:aaab=1,abaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5752 ab:aaab=1,abaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5753 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:112,nodes:20,pairs:4,completionMax:17us [00m16s] 5753 ab:aaab=1,abaab=b infinite ab - - ab:bab=abb,aaab=1,baab=aabb [00m16s] # 5754 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:158,nodes:14,pairs:10,completionMax:33us [00m16s] 5754 ab:aaab=1,ababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5754 ab:aaab=1,ababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5755 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:355,nodes:22,pairs:8,completionMax:30us [00m16s] 5755 ab:aaab=1,ababa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5755 ab:aaab=1,ababa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5756 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:4,work:99,nodes:20,pairs:5,completionMax:29us [00m16s] 5756 ab:aaab=1,ababb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5756 ab:aaab=1,ababb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5757 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:25,nodes:14,pairs:4,completionMax:11us [00m16s] 5757 ab:aaab=1,ababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5757 ab:aaab=1,ababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5758 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:214,nodes:20,pairs:16,completionMax:43us [00m16s] 5758 ab:aaab=1,abbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5758 ab:aaab=1,abbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5759 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:380,nodes:18,pairs:10,completionMax:44us [00m16s] 5759 ab:aaab=1,abbaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5759 ab:aaab=1,abbaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5760 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:4,work:407,nodes:26,pairs:16,completionMax:69us [00m16s] 5760 ab:aaab=1,abbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5760 ab:aaab=1,abbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5761 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:298,nodes:20,pairs:14,completionMax:37us [00m16s] 5761 ab:aaab=1,abbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5761 ab:aaab=1,abbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5762 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:4,work:301,nodes:26,pairs:17,completionMax:65us [00m16s] 5762 ab:aaab=1,abbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5762 ab:aaab=1,abbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5763 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:842,nodes:22,pairs:43,completionMax:104us [00m16s] 5763 ab:aaab=1,abbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5763 ab:aaab=1,abbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5764 solved: rounds:4,rules:2,peak:4,longest:12,steps:2,word:8,work:134,nodes:24,pairs:14,completionMax:34us [00m16s] 5764 ab:aaab=1,abbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5764 ab:aaab=1,abbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5765 solved: rounds:4,rules:2,peak:5,longest:9,steps:2,word:4,work:329,nodes:24,pairs:23,completionMax:66us [00m16s] 5765 ab:aaab=1,abbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5765 ab:aaab=1,abbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5766 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:59,nodes:16,pairs:3,completionMax:9us [00m16s] 5766 ab:aaab=1,baaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5766 ab:aaab=1,baaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5767 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:213,nodes:16,pairs:10,completionMax:42us [00m16s] 5767 ab:aaab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5767 ab:aaab=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5768 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:5us [00m16s] 5768 ab:aaab=1,baaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5768 ab:aaab=1,baaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5769 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:1us [00m16s] 5769 ab:aaab=1,baaab=b infinite ab - - ab:aaab=1 [00m16s] from: 5769 ab:aaab=1,baaab=b infinite to: 5736 ab:aaab=1,aaaab=a infinite a=a,b=b [00m16s] # 5770 solved: rounds:3,rules:2,peak:6,longest:5,steps:1,word:0,work:286,nodes:18,pairs:22,completionMax:46us [00m16s] 5770 ab:aaab=1,baaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5770 ab:aaab=1,baaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5771 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:167,nodes:20,pairs:10,completionMax:24us [00m16s] 5771 ab:aaab=1,baaba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5771 ab:aaab=1,baaba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5772 solved: rounds:2,rules:2,peak:6,longest:9,steps:3,word:4,work:346,nodes:28,pairs:9,completionMax:48us [00m16s] 5772 ab:aaab=1,baabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5772 ab:aaab=1,baabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5773 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:34,nodes:18,pairs:4,completionMax:15us [00m16s] 5773 ab:aaab=1,baabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5773 ab:aaab=1,baabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5774 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:268,nodes:22,pairs:23,completionMax:63us [00m16s] 5774 ab:aaab=1,babaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5774 ab:aaab=1,babaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5775 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:531,nodes:24,pairs:20,completionMax:55us [00m16s] 5775 ab:aaab=1,babaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5775 ab:aaab=1,babaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5776 solved: rounds:2,rules:2,peak:6,longest:9,steps:13,word:8,work:761,nodes:30,pairs:18,completionMax:73us [00m16s] 5776 ab:aaab=1,babab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5776 ab:aaab=1,babab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5777 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:38,nodes:20,pairs:5,completionMax:20us [00m16s] 5777 ab:aaab=1,babab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5777 ab:aaab=1,babab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5778 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:4,work:600,nodes:28,pairs:24,completionMax:84us [00m16s] 5778 ab:aaab=1,babba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5778 ab:aaab=1,babba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5779 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:600,nodes:24,pairs:39,completionMax:69us [00m16s] 5779 ab:aaab=1,babba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5779 ab:aaab=1,babba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5780 solved: rounds:3,rules:2,peak:8,longest:12,steps:3,word:8,work:834,nodes:40,pairs:28,completionMax:106us [00m16s] 5780 ab:aaab=1,babbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5780 ab:aaab=1,babbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5781 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:4,work:67,nodes:20,pairs:6,completionMax:25us [00m16s] 5781 ab:aaab=1,babbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5781 ab:aaab=1,babbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5782 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:300,nodes:22,pairs:18,completionMax:40us [00m16s] 5782 ab:aaab=1,bbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5782 ab:aaab=1,bbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5783 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:278,nodes:22,pairs:12,completionMax:33us [00m16s] 5783 ab:aaab=1,bbaaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5783 ab:aaab=1,bbaaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5784 solved: rounds:3,rules:2,peak:7,longest:8,steps:2,word:4,work:334,nodes:28,pairs:30,completionMax:77us [00m16s] 5784 ab:aaab=1,bbaab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5784 ab:aaab=1,bbaab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5785 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:138,nodes:20,pairs:13,completionMax:30us [00m16s] 5785 ab:aaab=1,bbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5785 ab:aaab=1,bbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5786 solved: rounds:3,rules:2,peak:9,longest:8,steps:2,word:4,work:677,nodes:24,pairs:53,completionMax:134us [00m16s] 5786 ab:aaab=1,bbaba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5786 ab:aaab=1,bbaba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5787 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:530,nodes:24,pairs:27,completionMax:65us [00m16s] 5787 ab:aaab=1,bbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5787 ab:aaab=1,bbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5788 solved: rounds:3,rules:2,peak:11,longest:12,steps:5,word:8,work:1583,nodes:30,pairs:59,completionMax:186us [00m16s] 5788 ab:aaab=1,bbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5788 ab:aaab=1,bbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5789 solved: rounds:4,rules:2,peak:5,longest:8,steps:4,word:4,work:399,nodes:20,pairs:20,completionMax:38us [00m16s] 5789 ab:aaab=1,bbabb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5789 ab:aaab=1,bbabb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5790 solved: rounds:3,rules:2,peak:8,longest:9,steps:2,word:4,work:604,nodes:26,pairs:26,completionMax:104us [00m16s] 5790 ab:aaab=1,bbbaa=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5790 ab:aaab=1,bbbaa=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5791 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:513,nodes:22,pairs:37,completionMax:67us [00m16s] 5791 ab:aaab=1,bbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5791 ab:aaab=1,bbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5792 solved: rounds:3,rules:2,peak:9,longest:12,steps:8,word:16,work:1492,nodes:40,pairs:37,completionMax:134us [00m16s] 5792 ab:aaab=1,bbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5792 ab:aaab=1,bbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5793 solved: rounds:4,rules:2,peak:5,longest:8,steps:2,word:4,work:152,nodes:18,pairs:17,completionMax:43us [00m16s] 5793 ab:aaab=1,bbbab=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5793 ab:aaab=1,bbbab=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5794 solved: rounds:3,rules:2,peak:6,longest:12,steps:3,word:8,work:405,nodes:34,pairs:21,completionMax:58us [00m16s] 5794 ab:aaab=1,bbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5794 ab:aaab=1,bbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5795 solved: rounds:3,rules:2,peak:7,longest:8,steps:6,word:8,work:850,nodes:20,pairs:39,completionMax:77us [00m16s] 5795 ab:aaab=1,bbbba=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5795 ab:aaab=1,bbbba=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5796 solved: rounds:5,rules:2,peak:4,longest:16,steps:9,word:12,work:864,nodes:32,pairs:19,completionMax:58us [00m16s] 5796 ab:aaab=1,bbbbb=a finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b5;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaa [00m16s] from: 5796 ab:aaab=1,bbbbb=a finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b5;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaa,b=a [00m16s] # 5797 solved: rounds:5,rules:2,peak:4,longest:12,steps:2,word:8,work:167,nodes:24,pairs:15,completionMax:34us [00m16s] 5797 ab:aaab=1,bbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5797 ab:aaab=1,bbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5798 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:181,nodes:14,pairs:14,completionMax:27us [00m16s] 5798 ab:aaba=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5798 ab:aaba=1,aaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5799 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:4,work:5,nodes:16,pairs:1,completionMax:10us [00m16s] 5799 ab:aaba=1,aaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5799 ab:aaba=1,aaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5800 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:98,nodes:14,pairs:5,completionMax:19us [00m16s] 5800 ab:aaba=1,aaaab=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5800 ab:aaba=1,aaaab=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5801 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:108,nodes:14,pairs:10,completionMax:26us [00m16s] 5801 ab:aaba=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5801 ab:aaba=1,aaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5802 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:88,nodes:12,pairs:5,completionMax:10us [00m16s] 5802 ab:aaba=1,aaaba=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5802 ab:aaba=1,aaaba=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5803 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:1,completionMax:4us [00m16s] 5803 ab:aaba=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5803 ab:aaba=1,aaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5804 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:113,nodes:14,pairs:9,completionMax:18us [00m16s] 5804 ab:aaba=1,aaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5804 ab:aaba=1,aaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5805 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:109,nodes:14,pairs:5,completionMax:14us [00m16s] 5805 ab:aaba=1,aaabb=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5805 ab:aaba=1,aaabb=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5806 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:87,nodes:12,pairs:5,completionMax:18us [00m16s] 5806 ab:aaba=1,aabaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5806 ab:aaba=1,aabaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5807 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:3us [00m16s] 5807 ab:aaba=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5807 ab:aaba=1,aabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5808 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:5us [00m16s] 5808 ab:aaba=1,aabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5808 ab:aaba=1,aabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5809 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:87,nodes:12,pairs:5,completionMax:12us [00m16s] 5809 ab:aaba=1,aabab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5809 ab:aaba=1,aabab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5810 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:244,nodes:14,pairs:15,completionMax:40us [00m16s] 5810 ab:aaba=1,aabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5810 ab:aaba=1,aabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5811 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:434,nodes:20,pairs:24,completionMax:52us [00m16s] 5811 ab:aaba=1,aabba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5811 ab:aaba=1,aabba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5812 solved: rounds:3,rules:2,peak:10,longest:13,steps:26,word:12,work:2348,nodes:36,pairs:18,completionMax:139us [00m16s] 5812 ab:aaba=1,aabbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5812 ab:aaba=1,aabbb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5813 solved: rounds:5,rules:2,peak:5,longest:5,steps:5,word:0,work:411,nodes:16,pairs:13,completionMax:43us [00m16s] 5813 ab:aaba=1,aabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5813 ab:aaba=1,aabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5814 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:178,nodes:20,pairs:9,completionMax:27us [00m16s] 5814 ab:aaba=1,abaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5814 ab:aaba=1,abaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5815 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:196,nodes:22,pairs:17,completionMax:38us [00m16s] 5815 ab:aaba=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5815 ab:aaba=1,abaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5816 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:88,nodes:20,pairs:11,completionMax:21us [00m16s] 5816 ab:aaba=1,abaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5816 ab:aaba=1,abaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5817 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:94,nodes:16,pairs:5,completionMax:9us [00m16s] 5817 ab:aaba=1,abaab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5817 ab:aaba=1,abaab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5818 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:190,nodes:18,pairs:9,completionMax:16us [00m16s] 5818 ab:aaba=1,ababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5818 ab:aaba=1,ababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5819 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:137,nodes:16,pairs:7,completionMax:10us [00m16s] 5819 ab:aaba=1,ababa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5819 ab:aaba=1,ababa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5820 solved: rounds:2,rules:2,peak:5,longest:8,steps:23,word:8,work:655,nodes:22,pairs:14,completionMax:34us [00m16s] 5820 ab:aaba=1,ababb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5820 ab:aaba=1,ababb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5821 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:306,nodes:20,pairs:17,completionMax:25us [00m16s] 5821 ab:aaba=1,ababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5821 ab:aaba=1,ababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5822 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:250,nodes:20,pairs:15,completionMax:24us [00m16s] 5822 ab:aaba=1,abbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5822 ab:aaba=1,abbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5823 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:365,nodes:22,pairs:19,completionMax:56us [00m16s] 5823 ab:aaba=1,abbaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5823 ab:aaba=1,abbaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5824 solved: rounds:4,rules:2,peak:6,longest:8,steps:5,word:4,work:489,nodes:22,pairs:16,completionMax:44us [00m16s] 5824 ab:aaba=1,abbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5824 ab:aaba=1,abbab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5825 solved: rounds:3,rules:2,peak:7,longest:5,steps:6,word:0,work:602,nodes:20,pairs:31,completionMax:64us [00m16s] 5825 ab:aaba=1,abbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5825 ab:aaba=1,abbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5826 solved: rounds:4,rules:2,peak:7,longest:8,steps:7,word:4,work:682,nodes:20,pairs:17,completionMax:67us [00m16s] 5826 ab:aaba=1,abbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5826 ab:aaba=1,abbba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5827 solved: rounds:4,rules:2,peak:7,longest:5,steps:5,word:0,work:713,nodes:24,pairs:26,completionMax:50us [00m16s] 5827 ab:aaba=1,abbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5827 ab:aaba=1,abbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5828 solved: rounds:6,rules:2,peak:8,longest:12,steps:8,word:8,work:1002,nodes:30,pairs:23,completionMax:74us [00m16s] 5828 ab:aaba=1,abbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5828 ab:aaba=1,abbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5829 solved: rounds:6,rules:2,peak:7,longest:8,steps:12,word:4,work:1633,nodes:28,pairs:28,completionMax:81us [00m16s] 5829 ab:aaba=1,abbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5829 ab:aaba=1,abbbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5830 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:204,nodes:18,pairs:11,completionMax:19us [00m16s] 5830 ab:aaba=1,baaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5830 ab:aaba=1,baaaa=a infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5831 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:0,work:544,nodes:20,pairs:21,completionMax:43us [00m16s] 5831 ab:aaba=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5831 ab:aaba=1,baaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5832 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:104,nodes:16,pairs:12,completionMax:27us [00m16s] 5832 ab:aaba=1,baaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5832 ab:aaba=1,baaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5833 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:139,nodes:18,pairs:6,completionMax:19us [00m16s] 5833 ab:aaba=1,baaab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5833 ab:aaba=1,baaab=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5834 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:1,completionMax:4us [00m16s] 5834 ab:aaba=1,baaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5834 ab:aaba=1,baaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5835 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:88,nodes:12,pairs:5,completionMax:11us [00m16s] 5835 ab:aaba=1,baaba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5835 ab:aaba=1,baaba=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5836 solved: rounds:4,rules:2,peak:7,longest:8,steps:8,word:4,work:596,nodes:22,pairs:26,completionMax:57us [00m16s] 5836 ab:aaba=1,baabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5836 ab:aaba=1,baabb=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5837 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:147,nodes:18,pairs:10,completionMax:17us [00m16s] 5837 ab:aaba=1,baabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5837 ab:aaba=1,baabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5838 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:258,nodes:18,pairs:20,completionMax:30us [00m16s] 5838 ab:aaba=1,babaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5838 ab:aaba=1,babaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5839 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:315,nodes:20,pairs:9,completionMax:22us [00m16s] 5839 ab:aaba=1,babaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5839 ab:aaba=1,babaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5840 solved: rounds:2,rules:2,peak:6,longest:8,steps:2,word:8,work:461,nodes:18,pairs:26,completionMax:42us [00m16s] 5840 ab:aaba=1,babab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5840 ab:aaba=1,babab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5841 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:240,nodes:18,pairs:20,completionMax:34us [00m16s] 5841 ab:aaba=1,babab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5841 ab:aaba=1,babab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5842 solved: rounds:2,rules:2,peak:7,longest:9,steps:8,word:8,work:1153,nodes:26,pairs:25,completionMax:79us [00m16s] 5842 ab:aaba=1,babba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5842 ab:aaba=1,babba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5843 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:459,nodes:20,pairs:29,completionMax:52us [00m16s] 5843 ab:aaba=1,babba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5843 ab:aaba=1,babba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5844 solved: rounds:4,rules:2,peak:7,longest:18,steps:12,word:16,work:1903,nodes:44,pairs:27,completionMax:116us [00m16s] 5844 ab:aaba=1,babbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5844 ab:aaba=1,babbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5845 solved: rounds:5,rules:2,peak:6,longest:8,steps:8,word:4,work:991,nodes:18,pairs:40,completionMax:83us [00m16s] 5845 ab:aaba=1,babbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5845 ab:aaba=1,babbb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5846 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:179,nodes:18,pairs:14,completionMax:24us [00m16s] 5846 ab:aaba=1,bbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5846 ab:aaba=1,bbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5847 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:0,work:263,nodes:18,pairs:9,completionMax:19us [00m16s] 5847 ab:aaba=1,bbaaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa ab - - ab:ba=ab,aaab=1 [00m16s] from: 5847 ab:aaba=1,bbaaa=b infinite;commutative:ab:a3b=1;saturation:ab:ab3=1;cancellative;smith:0;group:a-aab,b-aaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaa [00m16s] # 5848 solved: rounds:3,rules:2,peak:6,longest:8,steps:9,word:8,work:977,nodes:24,pairs:19,completionMax:54us [00m16s] 5848 ab:aaba=1,bbaab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5848 ab:aaba=1,bbaab=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5849 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:134,nodes:18,pairs:9,completionMax:17us [00m16s] 5849 ab:aaba=1,bbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5849 ab:aaba=1,bbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5850 solved: rounds:3,rules:2,peak:8,longest:13,steps:19,word:12,work:1179,nodes:34,pairs:17,completionMax:66us [00m16s] 5850 ab:aaba=1,bbaba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5850 ab:aaba=1,bbaba=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5851 solved: rounds:5,rules:2,peak:4,longest:5,steps:6,word:0,work:359,nodes:18,pairs:13,completionMax:39us [00m16s] 5851 ab:aaba=1,bbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5851 ab:aaba=1,bbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5852 solved: rounds:5,rules:2,peak:10,longest:12,steps:6,word:8,work:1762,nodes:32,pairs:40,completionMax:119us [00m16s] 5852 ab:aaba=1,bbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5852 ab:aaba=1,bbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5853 solved: rounds:6,rules:2,peak:10,longest:8,steps:7,word:4,work:1649,nodes:40,pairs:38,completionMax:150us [00m16s] 5853 ab:aaba=1,bbabb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5853 ab:aaba=1,bbabb=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5854 solved: rounds:3,rules:2,peak:7,longest:8,steps:8,word:8,work:940,nodes:26,pairs:24,completionMax:59us [00m16s] 5854 ab:aaba=1,bbbaa=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5854 ab:aaba=1,bbbaa=a finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5855 solved: rounds:4,rules:2,peak:6,longest:5,steps:9,word:0,work:694,nodes:20,pairs:19,completionMax:42us [00m16s] 5855 ab:aaba=1,bbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5855 ab:aaba=1,bbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5856 solved: rounds:3,rules:2,peak:14,longest:21,steps:145,word:16,work:39708,nodes:84,pairs:61,completionMax:601us [00m16s] 5856 ab:aaba=1,bbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5856 ab:aaba=1,bbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5857 solved: rounds:6,rules:2,peak:8,longest:8,steps:7,word:4,work:933,nodes:32,pairs:20,completionMax:89us [00m16s] 5857 ab:aaba=1,bbbab=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5857 ab:aaba=1,bbbab=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5858 solved: rounds:6,rules:2,peak:8,longest:12,steps:8,word:8,work:1009,nodes:30,pairs:23,completionMax:104us [00m16s] 5858 ab:aaba=1,bbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5858 ab:aaba=1,bbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5859 solved: rounds:6,rules:2,peak:8,longest:8,steps:7,word:4,work:1554,nodes:30,pairs:36,completionMax:125us [00m16s] 5859 ab:aaba=1,bbbba=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa a/b - - ab:aaaaaaaa=1,b=aaaaa [00m16s] from: 5859 ab:aaba=1,bbbba=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b5;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaa,b=a [00m16s] # 5860 solved: rounds:7,rules:2,peak:4,longest:16,steps:9,word:12,work:998,nodes:32,pairs:13,completionMax:82us [00m16s] 5860 ab:aaba=1,bbbbb=a finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b5;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaa [00m16s] from: 5860 ab:aaba=1,bbbbb=a finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b5;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaa,b=a [00m16s] # 5861 solved: rounds:7,rules:2,peak:7,longest:12,steps:8,word:8,work:824,nodes:28,pairs:20,completionMax:102us [00m16s] 5861 ab:aaba=1,bbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaa [00m16s] from: 5861 ab:aaba=1,bbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a9;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbb [00m16s] # 5862 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:89,nodes:14,pairs:6,completionMax:27us [00m16s] 5862 ab:aabb=1,aaaaa=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5862 ab:aabb=1,aaaaa=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5863 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:23,nodes:24,pairs:2,completionMax:16us [00m16s] 5863 ab:aabb=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 5863 ab:aabb=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 5864 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:12,pairs:4,completionMax:9us [00m16s] 5864 ab:aabb=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5864 ab:aabb=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5865 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:82,nodes:14,pairs:5,completionMax:24us [00m16s] 5865 ab:aabb=1,aaaab=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5865 ab:aabb=1,aaaab=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5866 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:34,nodes:12,pairs:4,completionMax:12us [00m16s] 5866 ab:aabb=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5866 ab:aabb=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5867 solved: rounds:4,rules:3,peak:9,longest:9,steps:12,word:8,work:2892,nodes:42,pairs:52,completionMax:242us [00m16s] 5867 ab:aabb=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m16s] from: 5867 ab:aabb=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m16s] # 5868 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:1us [00m16s] 5868 ab:aabb=1,aaabb=a infinite ab - - ab:aabb=1 [00m16s] # 5869 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:6us [00m16s] 5869 ab:aabb=1,aaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5869 ab:aabb=1,aaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5870 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:254,nodes:16,pairs:19,completionMax:50us [00m16s] 5870 ab:aabb=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5870 ab:aabb=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5871 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:609,nodes:26,pairs:23,completionMax:84us [00m16s] 5871 ab:aabb=1,aabaa=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5871 ab:aabb=1,aabaa=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5872 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:0us [00m16s] 5872 ab:aabb=1,aabab=a infinite ab - - ab:aabb=1,aabab=a [00m16s] # 5873 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:0us [00m16s] 5873 ab:aabb=1,aabab=b infinite ab - - ab:aabb=1,aabab=b [00m16s] # 5874 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m16s] 5874 ab:aabb=1,aabba=a infinite ab - - ab:aabb=1 [00m16s] from: 5874 ab:aabb=1,aabba=a infinite to: 5868 ab:aabb=1,aaabb=a infinite a=a,b=b [00m16s] # 5875 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:2,completionMax:8us [00m16s] 5875 ab:aabb=1,aabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5875 ab:aabb=1,aabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5876 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:202,nodes:14,pairs:11,completionMax:34us [00m16s] 5876 ab:aabb=1,abaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5876 ab:aabb=1,abaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5877 solved: rounds:3,rules:3,peak:15,longest:17,steps:20,word:12,work:7825,nodes:72,pairs:78,completionMax:465us [00m16s] 5877 ab:aabb=1,abaaa=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m16s] from: 5877 ab:aabb=1,abaaa=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m16s] # 5878 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:17,nodes:16,pairs:1,completionMax:5us [00m16s] 5878 ab:aabb=1,abaab=a infinite ba - - ab:aabb=1,aaab=abaa,abaab=a [00m16s] # 5879 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:272,nodes:20,pairs:21,completionMax:36us [00m16s] 5879 ab:aabb=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5879 ab:aabb=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5880 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:14,pairs:1,completionMax:6us [00m16s] 5880 ab:aabb=1,ababa=a infinite ab - - ab:aabb=1,abab=1 [00m16s] from: 5880 ab:aabb=1,ababa=a infinite to: 484 ab:aabb=1,abab=1 infinite a=a,b=b [00m16s] # 5881 solved: rounds:3,rules:4,peak:12,longest:6,steps:4,word:0,work:1535,nodes:36,pairs:45,completionMax:104us [00m16s] 5881 ab:aabb=1,ababa=b finite:12;center:1,aa;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,bab=aba,aaaa=1 [00m16s] from: 5881 ab:aabb=1,ababa=b finite:12;center:1,aa;group:a-aaa,b-aab to: 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab a=a,b=b [00m16s] # 5882 solved: rounds:6,rules:5,peak:7,longest:5,steps:5,word:0,work:169,nodes:30,pairs:13,completionMax:39us [00m16s] 5882 ab:aabb=1,abbaa=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5882 ab:aabb=1,abbaa=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5883 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:272,nodes:22,pairs:15,completionMax:28us [00m16s] 5883 ab:aabb=1,abbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5883 ab:aabb=1,abbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5884 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:170,nodes:18,pairs:13,completionMax:22us [00m16s] 5884 ab:aabb=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5884 ab:aabb=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5885 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:68,nodes:16,pairs:3,completionMax:12us [00m16s] 5885 ab:aabb=1,abbba=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5885 ab:aabb=1,abbba=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5886 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:567,nodes:20,pairs:27,completionMax:69us [00m16s] 5886 ab:aabb=1,baaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5886 ab:aabb=1,baaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5887 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:485,nodes:24,pairs:21,completionMax:68us [00m16s] 5887 ab:aabb=1,baaaa=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5887 ab:aabb=1,baaaa=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5888 solved: rounds:3,rules:5,peak:9,longest:5,steps:4,word:0,work:354,nodes:36,pairs:24,completionMax:54us [00m16s] 5888 ab:aabb=1,baaba=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5888 ab:aabb=1,baaba=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5889 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:413,nodes:18,pairs:24,completionMax:48us [00m16s] 5889 ab:aabb=1,baaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5889 ab:aabb=1,baaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5890 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:619,nodes:22,pairs:15,completionMax:52us [00m16s] 5890 ab:aabb=1,babaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5890 ab:aabb=1,babaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5891 solved: rounds:4,rules:2,peak:10,longest:5,steps:4,word:0,work:970,nodes:22,pairs:33,completionMax:81us [00m16s] 5891 ab:aabb=1,babaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5891 ab:aabb=1,babaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5892 solved: rounds:4,rules:5,peak:9,longest:5,steps:6,word:0,work:312,nodes:36,pairs:13,completionMax:54us [00m16s] 5892 ab:aabb=1,bbaaa=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5892 ab:aabb=1,bbaaa=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5893 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:0,work:682,nodes:20,pairs:28,completionMax:80us [00m16s] 5893 ab:aabb=1,bbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5893 ab:aabb=1,bbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5894 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:53,nodes:16,pairs:2,completionMax:14us [00m16s] 5894 ab:abab=1,aaaaa=a infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m16s] from: 5894 ab:abab=1,aaaaa=a infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m16s] # 5895 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:26,nodes:24,pairs:2,completionMax:10us [00m16s] 5895 ab:abab=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 5895 ab:abab=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 5896 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:91,nodes:14,pairs:7,completionMax:24us [00m16s] 5896 ab:abab=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5896 ab:abab=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5897 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:18,pairs:5,completionMax:16us [00m16s] 5897 ab:abab=1,aaaab=b infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m16s] from: 5897 ab:abab=1,aaaab=b infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m16s] # 5898 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:84,nodes:14,pairs:5,completionMax:18us [00m16s] 5898 ab:abab=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5898 ab:abab=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5899 solved: rounds:3,rules:3,peak:6,longest:9,steps:12,word:8,work:723,nodes:32,pairs:17,completionMax:65us [00m16s] 5899 ab:abab=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aa [00m16s] from: 5899 ab:abab=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=a,b=b [00m16s] # 5900 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [00m16s] 5900 ab:abab=1,aaabb=a infinite ab - - ab:abab=1,aaabb=a [00m16s] # 5901 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [00m16s] 5901 ab:abab=1,aaabb=b infinite ab - - ab:abab=1,aaabb=b [00m16s] # 5902 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:120,nodes:14,pairs:15,completionMax:46us [00m16s] 5902 ab:abab=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5902 ab:abab=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5903 solved: rounds:3,rules:9,peak:13,longest:5,steps:3,word:2,work:855,nodes:51,pairs:33,completionMax:108us [00m16s] 5903 ab:abab=1,aabaa=b infinite;group:a-cb,b-ac,c-c c/ab ba=c frequency:2/0 abc:cc=1,acb=1,ba=c,bb=caca,bcb=aac,aaca=b,acaa=cbc,bcaa=aabc,bcaca=cacab [00m16s] # 5904 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:1us [00m16s] 5904 ab:abab=1,aabab=a infinite ab - - ab:abab=1 [00m16s] # 5905 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:8,pairs:2,completionMax:7us [00m16s] 5905 ab:abab=1,aabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5905 ab:abab=1,aabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5906 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:14,pairs:1,completionMax:6us [00m16s] 5906 ab:abab=1,aabba=a infinite ab - - ab:aabb=1,abab=1 [00m16s] from: 5906 ab:abab=1,aabba=a infinite to: 484 ab:aabb=1,abab=1 infinite a=a,b=b [00m16s] # 5907 solved: rounds:3,rules:4,peak:9,longest:5,steps:6,word:0,work:1798,nodes:26,pairs:48,completionMax:185us [00m16s] 5907 ab:abab=1,aabba=b finite:20;group:a-aaa,b-aba reversed:ab - - ab:aab=bba,bab=aaa,bbb=aba,aaaa=1 [00m16s] from: 5907 ab:abab=1,aabba=b finite:20;group:a-aaa,b-aba to: 4095 ab:baa=abb,abab=1 finite:20;group:a-aaa,b-aba anti:a=a,b=b [00m16s] # 5908 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:183,nodes:14,pairs:10,completionMax:34us [00m16s] 5908 ab:abab=1,abaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5908 ab:abab=1,abaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5909 solved: rounds:3,rules:3,peak:12,longest:8,steps:8,word:8,work:3596,nodes:42,pairs:58,completionMax:283us [00m16s] 5909 ab:abab=1,abaaa=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aa [00m16s] from: 5909 ab:abab=1,abaaa=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=a,b=b [00m16s] # 5910 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:101,nodes:10,pairs:10,completionMax:17us [00m16s] 5910 ab:abab=1,abaab=a infinite ab - - ab:aba=aab,aabb=1 [00m16s] from: 5910 ab:abab=1,abaab=a infinite to: 4025 ab:aba=aab,aabb=1 infinite a=a,b=b [00m16s] # 5911 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:230,nodes:16,pairs:18,completionMax:47us [00m16s] 5911 ab:abab=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5911 ab:abab=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5912 solved: rounds:0,rules:1,peak:1,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [00m16s] 5912 ab:abab=1,ababa=a infinite ab - - ab:abab=1 [00m16s] from: 5912 ab:abab=1,ababa=a infinite to: 5904 ab:abab=1,aabab=a infinite a=a,b=b [00m16s] # 5913 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:2,completionMax:9us [00m16s] 5913 ab:abab=1,ababa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5913 ab:abab=1,ababa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5914 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:138,nodes:16,pairs:8,completionMax:28us [00m16s] 5914 ab:abab=1,abbaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5914 ab:abab=1,abbaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5915 solved: rounds:3,rules:4,peak:6,longest:7,steps:5,word:0,work:664,nodes:26,pairs:18,completionMax:58us [00m16s] 5915 ab:abab=1,abbaa=b finite:20;group:a-aaa,b-aba ab - - ab:baa=abb,bab=aaa,bbb=aba,aaaa=1 [00m16s] from: 5915 ab:abab=1,abbaa=b finite:20;group:a-aaa,b-aba to: 4095 ab:baa=abb,abab=1 finite:20;group:a-aaa,b-aba a=a,b=b [00m16s] # 5916 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:292,nodes:22,pairs:16,completionMax:43us [00m16s] 5916 ab:abab=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5916 ab:abab=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5917 solved: rounds:4,rules:5,peak:9,longest:5,steps:7,word:4,work:405,nodes:30,pairs:25,completionMax:75us [00m16s] 5917 ab:abab=1,abbba=b infinite;group:a-bab,b-c,c-b bc/a aba=c frequency:3/0 abc:bc=1,cb=1,ca=bacc,bba=abb,aba=c [00m16s] from: 5917 ab:abab=1,abbba=b infinite;group:a-bab,b-c,c-b to: 4084 ab:baa=aab,abab=1 infinite;group:a-c,b-aba,c-a a=b,b=a,c=c [00m16s] # 5918 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:560,nodes:20,pairs:22,completionMax:99us [00m16s] 5918 ab:abab=1,baaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5918 ab:abab=1,baaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5919 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:94,nodes:24,pairs:4,completionMax:23us [00m16s] 5919 ab:abab=1,baaaa=b infinite;group:a-aaa,b-aba ab - - ab:bab=aaa,aaaa=1 [00m16s] from: 5919 ab:abab=1,baaaa=b infinite;group:a-aaa,b-aba to: 456 ab:aaaa=1,abab=1 infinite;group:a-aaa,b-aba a=a,b=b [00m16s] # 5920 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:97,nodes:16,pairs:5,completionMax:17us [00m16s] 5920 ab:abab=1,baaba=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5920 ab:abab=1,baaba=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5921 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:321,nodes:22,pairs:25,completionMax:60us [00m16s] 5921 ab:abab=1,baaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5921 ab:abab=1,baaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5922 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:4,nodes:16,pairs:1,completionMax:8us [00m16s] 5922 ab:abab=1,babaa=a infinite;group:a-bab,b-aba ab - - ab:abab=1,baba=1 [00m16s] from: 5922 ab:abab=1,babaa=a infinite;group:a-bab,b-aba to: 489 ab:abab=1,baba=1 infinite;group:a-bab,b-aba a=a,b=b [00m16s] # 5923 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:200,nodes:24,pairs:10,completionMax:34us [00m16s] 5923 ab:abab=1,babaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5923 ab:abab=1,babaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5924 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:191,nodes:20,pairs:14,completionMax:35us [00m16s] 5924 ab:abab=1,bbaaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5924 ab:abab=1,bbaaa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5925 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:405,nodes:20,pairs:27,completionMax:81us [00m16s] 5925 ab:abab=1,bbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5925 ab:abab=1,bbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5926 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:121,nodes:18,pairs:10,completionMax:27us [00m16s] 5926 ab:abba=1,aaaaa=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5926 ab:abba=1,aaaaa=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5927 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:8,work:37,nodes:24,pairs:2,completionMax:14us [00m16s] 5927 ab:abba=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 5927 ab:abba=1,aaaaa=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 5928 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:232,nodes:18,pairs:19,completionMax:44us [00m16s] 5928 ab:abba=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5928 ab:abba=1,aaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5929 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:458,nodes:20,pairs:25,completionMax:59us [00m16s] 5929 ab:abba=1,aaaab=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5929 ab:abba=1,aaaab=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5930 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:238,nodes:20,pairs:24,completionMax:51us [00m16s] 5930 ab:abba=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5930 ab:abba=1,aaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5931 solved: rounds:3,rules:3,peak:12,longest:9,steps:7,word:8,work:3657,nodes:40,pairs:51,completionMax:207us [00m16s] 5931 ab:abba=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m16s] from: 5931 ab:abba=1,aaaba=b finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m16s] # 5932 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:174,nodes:30,pairs:10,completionMax:24us [00m16s] 5932 ab:abba=1,aaabb=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5932 ab:abba=1,aaabb=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5933 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:176,nodes:16,pairs:13,completionMax:35us [00m16s] 5933 ab:abba=1,aaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5933 ab:abba=1,aaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5934 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:296,nodes:20,pairs:23,completionMax:60us [00m16s] 5934 ab:abba=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5934 ab:abba=1,aabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5935 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:0,work:1118,nodes:30,pairs:37,completionMax:107us [00m16s] 5935 ab:abba=1,aabaa=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5935 ab:abba=1,aabaa=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5936 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:177,nodes:18,pairs:7,completionMax:28us [00m16s] 5936 ab:abba=1,aabab=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5936 ab:abba=1,aabab=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5937 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:482,nodes:20,pairs:33,completionMax:63us [00m16s] 5937 ab:abba=1,aabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5937 ab:abba=1,aabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5938 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:131,nodes:30,pairs:7,completionMax:26us [00m16s] 5938 ab:abba=1,aabba=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5938 ab:abba=1,aabba=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5939 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:8,pairs:2,completionMax:6us [00m16s] 5939 ab:abba=1,aabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5939 ab:abba=1,aabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5940 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:280,nodes:18,pairs:19,completionMax:32us [00m16s] 5940 ab:abba=1,aabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5940 ab:abba=1,aabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5941 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:175,nodes:30,pairs:10,completionMax:31us [00m16s] 5941 ab:abba=1,aabbb=b infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5941 ab:abba=1,aabbb=b infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5942 solved: rounds:2,rules:5,peak:7,longest:5,steps:7,word:0,work:428,nodes:30,pairs:11,completionMax:38us [00m16s] 5942 ab:abba=1,abaab=a infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5942 ab:abba=1,abaab=a infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5943 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:755,nodes:20,pairs:37,completionMax:87us [00m16s] 5943 ab:abba=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5943 ab:abba=1,abaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5944 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:171,nodes:20,pairs:9,completionMax:38us [00m16s] 5944 ab:abba=1,ababa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5944 ab:abba=1,ababa=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5945 solved: rounds:3,rules:4,peak:11,longest:6,steps:5,word:0,work:2031,nodes:28,pairs:56,completionMax:188us [00m16s] 5945 ab:abba=1,ababa=b finite:12;center:1,aa;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,bab=aba,aaaa=1 [00m16s] from: 5945 ab:abba=1,ababa=b finite:12;center:1,aa;group:a-aaa,b-aab to: 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab a=a,b=b [00m16s] # 5946 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:221,nodes:20,pairs:14,completionMax:35us [00m16s] 5946 ab:abba=1,ababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5946 ab:abba=1,ababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5947 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:63,nodes:14,pairs:5,completionMax:16us [00m16s] 5947 ab:abba=1,ababb=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5947 ab:abba=1,ababb=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5948 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:2,completionMax:6us [00m16s] 5948 ab:abba=1,abbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5948 ab:abba=1,abbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5949 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:130,nodes:30,pairs:7,completionMax:19us [00m16s] 5949 ab:abba=1,abbab=b infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5949 ab:abba=1,abbab=b infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5950 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:241,nodes:20,pairs:11,completionMax:38us [00m16s] 5950 ab:abba=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5950 ab:abba=1,abbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5951 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:223,nodes:18,pairs:11,completionMax:31us [00m16s] 5951 ab:abba=1,abbba=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5951 ab:abba=1,abbba=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5952 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:162,nodes:16,pairs:9,completionMax:36us [00m16s] 5952 ab:abba=1,abbbb=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5952 ab:abba=1,abbbb=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5953 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:772,nodes:26,pairs:34,completionMax:81us [00m16s] 5953 ab:abba=1,abbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5953 ab:abba=1,abbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5954 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:404,nodes:18,pairs:19,completionMax:40us [00m16s] 5954 ab:abba=1,baaab=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5954 ab:abba=1,baaab=a infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5955 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:451,nodes:18,pairs:26,completionMax:52us [00m16s] 5955 ab:abba=1,baaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5955 ab:abba=1,baaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5956 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:137,nodes:16,pairs:12,completionMax:20us [00m16s] 5956 ab:abba=1,baabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5956 ab:abba=1,baabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5957 solved: rounds:4,rules:5,peak:7,longest:5,steps:5,word:0,work:187,nodes:30,pairs:10,completionMax:33us [00m16s] 5957 ab:abba=1,baabb=b infinite;group:a-ca,b-aab,c-aa cab bb=c frequency:2/0 abc:ac=ca,bc=cb,bb=c,caa=1,baa=aab [00m16s] from: 5957 ab:abba=1,baabb=b infinite;group:a-ca,b-aab,c-aa to: 485 ab:aabb=1,abba=1 infinite;group:a-ca,b-aab,c-aa a=a,b=b,c=c [00m16s] # 5958 solved: rounds:3,rules:4,peak:7,longest:5,steps:4,word:0,work:760,nodes:22,pairs:30,completionMax:102us [00m16s] 5958 ab:abba=1,babab=a finite:12;center:1,aa;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,bab=aba,aaaa=1 [00m16s] from: 5958 ab:abba=1,babab=a finite:12;center:1,aa;group:a-aaa,b-aab to: 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab a=a,b=b [00m16s] # 5959 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:223,nodes:18,pairs:11,completionMax:31us [00m16s] 5959 ab:abba=1,babab=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab ab - - ab:ba=ab,aabb=1 [00m16s] from: 5959 ab:abba=1,babab=b infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=a,b=b [00m16s] # 5960 solved: rounds:5,rules:3,peak:13,longest:8,steps:12,word:4,work:2725,nodes:40,pairs:65,completionMax:210us [00m16s] 5960 ab:abba=1,babbb=a finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a/b - - ab:aaaaaaaa=1,ab=baaaaa,bb=aaaaaa [00m16s] from: 5960 ab:abba=1,babbb=a finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa a=a,b=b [00m16s] # 5961 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:380,nodes:18,pairs:11,completionMax:42us [00m16s] 5961 ab:abba=1,babbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5961 ab:abba=1,babbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5962 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:227,nodes:20,pairs:13,completionMax:33us [00m16s] 5962 ab:abba=1,bbabb=a infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5962 ab:abba=1,bbabb=a infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5963 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:229,nodes:16,pairs:10,completionMax:24us [00m16s] 5963 ab:abba=1,bbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa ab - - ab:b=a,aaaa=1 [00m16s] from: 5963 ab:abba=1,bbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a=b,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aaa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=a [00m16s] # 5964 solved: rounds:5,rules:2,peak:4,longest:12,steps:9,word:8,work:511,nodes:24,pairs:16,completionMax:58us [00m16s] 5964 ab:abba=1,bbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaa [00m16s] from: 5964 ab:abba=1,bbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b5;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbb,b=b [00m16s] # 5965 solved: rounds:5,rules:3,peak:7,longest:6,steps:4,word:0,work:900,nodes:28,pairs:27,completionMax:96us [00m16s] 5965 ab:abba=1,bbbbb=b infinite;group:a-aaa,b-aab ab - - ab:bb=aa,baa=aab,aaaa=1 [00m16s] from: 5965 ab:abba=1,bbbbb=b infinite;group:a-aaa,b-aab to: 455 ab:aaaa=1,aabb=1 infinite;group:a-aaa,b-aab a=a,b=b [00m16s] # 5966 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:22,nodes:6,pairs:0,completionMax:5us [00m16s] 5966 ab:aaa=a,aaaaaa=1 infinite ab - - ab:aa=1 [00m16s] from: 5966 ab:aaa=a,aaaaaa=1 infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [00m16s] # 5967 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:9us [00m16s] 5967 ab:aaa=a,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5967 ab:aaa=a,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5968 solved: rounds:1,rules:2,peak:5,longest:4,steps:3,word:0,work:98,nodes:10,pairs:4,completionMax:17us [00m16s] 5968 ab:aaa=a,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5968 ab:aaa=a,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5969 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:35,nodes:10,pairs:4,completionMax:13us [00m16s] 5969 ab:aaa=a,aaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5969 ab:aaa=a,aaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5970 solved: rounds:1,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:10,pairs:4,completionMax:15us [00m16s] 5970 ab:aaa=a,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 5970 ab:aaa=a,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 5971 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:12,pairs:2,completionMax:14us [00m16s] 5971 ab:aaa=a,aaabab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5971 ab:aaa=a,aaabab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5972 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:14,pairs:8,completionMax:18us [00m16s] 5972 ab:aaa=a,aaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5972 ab:aaa=a,aaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5973 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:2,work:38,nodes:12,pairs:5,completionMax:13us [00m16s] 5973 ab:aaa=a,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5973 ab:aaa=a,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5974 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:52,nodes:14,pairs:5,completionMax:14us [00m16s] 5974 ab:aaa=a,aabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5974 ab:aaa=a,aabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5975 solved: rounds:1,rules:2,peak:5,longest:6,steps:3,word:0,work:140,nodes:22,pairs:4,completionMax:21us [00m16s] 5975 ab:aaa=a,aababa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5975 ab:aaa=a,aababa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5976 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:224,nodes:18,pairs:11,completionMax:33us [00m16s] 5976 ab:aaa=a,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5976 ab:aaa=a,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5977 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:93,nodes:16,pairs:9,completionMax:17us [00m16s] 5977 ab:aaa=a,aabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5977 ab:aaa=a,aabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5978 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:182,nodes:18,pairs:19,completionMax:33us [00m16s] 5978 ab:aaa=a,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5978 ab:aaa=a,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5979 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:4,work:333,nodes:18,pairs:20,completionMax:35us [00m16s] 5979 ab:aaa=a,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5979 ab:aaa=a,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5980 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:40,nodes:18,pairs:4,completionMax:12us [00m16s] 5980 ab:aaa=a,aabbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 5980 ab:aaa=a,aabbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 5981 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:36,nodes:12,pairs:2,completionMax:18us [00m16s] 5981 ab:aaa=a,abaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 5981 ab:aaa=a,abaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 5982 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:100,nodes:18,pairs:7,completionMax:23us [00m16s] 5982 ab:aaa=a,abaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5982 ab:aaa=a,abaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5983 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:41,nodes:14,pairs:3,completionMax:14us [00m16s] 5983 ab:aaa=a,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5983 ab:aaa=a,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5984 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:48,nodes:20,pairs:2,completionMax:14us [00m16s] 5984 ab:aaa=a,ababab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [00m16s] from: 5984 ab:aaa=a,ababab=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [00m16s] # 5985 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:313,nodes:22,pairs:25,completionMax:59us [00m16s] 5985 ab:aaa=a,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5985 ab:aaa=a,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5986 solved: rounds:5,rules:3,peak:6,longest:8,steps:6,word:4,work:527,nodes:24,pairs:14,completionMax:75us [00m16s] 5986 ab:aaa=a,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 5986 ab:aaa=a,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 5987 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:126,nodes:18,pairs:10,completionMax:27us [00m16s] 5987 ab:aaa=a,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5987 ab:aaa=a,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5988 solved: rounds:4,rules:5,peak:7,longest:6,steps:5,word:2,work:273,nodes:27,pairs:12,completionMax:36us [00m16s] 5988 ab:aaa=a,abbabb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m16s] from: 5988 ab:aaa=a,abbabb=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m16s] # 5989 solved: rounds:3,rules:3,peak:5,longest:9,steps:12,word:8,work:863,nodes:36,pairs:11,completionMax:64us [00m16s] 5989 ab:aaa=a,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 5989 ab:aaa=a,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 5990 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:92,nodes:22,pairs:8,completionMax:23us [00m16s] 5990 ab:aaa=a,abbbba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 5990 ab:aaa=a,abbbba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 5991 solved: rounds:3,rules:2,peak:3,longest:10,steps:1,word:4,work:47,nodes:20,pairs:5,completionMax:19us [00m16s] 5991 ab:aaa=a,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 5991 ab:aaa=a,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 5992 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:12,pairs:12,completionMax:31us [00m16s] 5992 ab:aaa=a,baaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 5992 ab:aaa=a,baaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 5993 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:2,work:179,nodes:14,pairs:10,completionMax:35us [00m16s] 5993 ab:aaa=a,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5993 ab:aaa=a,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5994 solved: rounds:4,rules:2,peak:11,longest:7,steps:10,word:4,work:2402,nodes:30,pairs:54,completionMax:213us [00m16s] 5994 ab:aaa=a,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 5994 ab:aaa=a,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 5995 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:580,nodes:28,pairs:22,completionMax:61us [00m16s] 5995 ab:aaa=a,baabbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 5995 ab:aaa=a,baabbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 5996 solved: rounds:5,rules:3,peak:7,longest:9,steps:12,word:4,work:1623,nodes:34,pairs:31,completionMax:129us [00m16s] 5996 ab:aaa=a,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 5996 ab:aaa=a,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 5997 solved: rounds:3,rules:5,peak:9,longest:6,steps:6,word:2,work:564,nodes:45,pairs:17,completionMax:106us [00m16s] 5997 ab:aaa=a,babbab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m16s] from: 5997 ab:aaa=a,babbab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m16s] # 5998 solved: rounds:4,rules:2,peak:5,longest:10,steps:5,word:8,work:734,nodes:22,pairs:15,completionMax:47us [00m16s] 5998 ab:aaa=a,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 5998 ab:aaa=a,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 5999 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:502,nodes:28,pairs:16,completionMax:57us [00m16s] 5999 ab:aaa=a,bbaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 5999 ab:aaa=a,bbaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6000 solved: rounds:5,rules:2,peak:8,longest:10,steps:6,word:4,work:1534,nodes:34,pairs:25,completionMax:110us [00m16s] 6000 ab:aaa=a,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6000 ab:aaa=a,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6001 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:6,nodes:16,pairs:0,completionMax:4us [00m16s] 6001 ab:aaa=a,bbbbbb=1 infinite ab - - ab:aaa=a,bbbbbb=1 [00m16s] # 6002 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [00m16s] 6002 ab:aaa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa a/b - - ab:aaaaaa=1,b=aaa [00m16s] from: 6002 ab:aaa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a3;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbb [00m16s] # 6003 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:6,nodes:16,pairs:0,completionMax:4us [00m16s] 6003 ab:aaa=b,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 6003 ab:aaa=b,aaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 6004 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:5,nodes:16,pairs:0,completionMax:5us [00m16s] 6004 ab:aaa=b,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 6004 ab:aaa=b,aaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 6005 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:13,nodes:20,pairs:0,completionMax:5us [00m16s] 6005 ab:aaa=b,aaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6005 ab:aaa=b,aaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6006 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:4,nodes:16,pairs:0,completionMax:4us [00m16s] 6006 ab:aaa=b,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa a/b - - ab:aaaaaaaa=1,b=aaa [00m16s] from: 6006 ab:aaa=b,aaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b3;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=a [00m16s] # 6007 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:12,nodes:20,pairs:0,completionMax:5us [00m16s] 6007 ab:aaa=b,aaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6007 ab:aaa=b,aaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6008 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:11,nodes:20,pairs:0,completionMax:6us [00m16s] 6008 ab:aaa=b,aaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6008 ab:aaa=b,aaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6009 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:21,nodes:24,pairs:0,completionMax:7us [00m16s] 6009 ab:aaa=b,aaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6009 ab:aaa=b,aaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6010 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:11,nodes:20,pairs:0,completionMax:5us [00m16s] 6010 ab:aaa=b,aabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6010 ab:aaa=b,aabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6011 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:10,nodes:20,pairs:0,completionMax:4us [00m16s] 6011 ab:aaa=b,aababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6011 ab:aaa=b,aababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6012 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:20,nodes:24,pairs:0,completionMax:6us [00m16s] 6012 ab:aaa=b,aababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6012 ab:aaa=b,aababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6013 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:9,nodes:20,pairs:0,completionMax:5us [00m16s] 6013 ab:aaa=b,aabbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6013 ab:aaa=b,aabbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6014 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:19,nodes:24,pairs:0,completionMax:6us [00m16s] 6014 ab:aaa=b,aabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6014 ab:aaa=b,aabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6015 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:18,nodes:24,pairs:0,completionMax:6us [00m16s] 6015 ab:aaa=b,aabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6015 ab:aaa=b,aabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6016 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:30,nodes:28,pairs:0,completionMax:7us [00m16s] 6016 ab:aaa=b,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6016 ab:aaa=b,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6017 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:10,nodes:20,pairs:0,completionMax:5us [00m16s] 6017 ab:aaa=b,abaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6017 ab:aaa=b,abaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6018 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:9,nodes:20,pairs:0,completionMax:5us [00m16s] 6018 ab:aaa=b,abaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6018 ab:aaa=b,abaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6019 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:19,nodes:24,pairs:0,completionMax:7us [00m16s] 6019 ab:aaa=b,abaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6019 ab:aaa=b,abaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6020 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:18,nodes:24,pairs:0,completionMax:11us [00m16s] 6020 ab:aaa=b,ababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6020 ab:aaa=b,ababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6021 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:17,nodes:24,pairs:0,completionMax:7us [00m16s] 6021 ab:aaa=b,ababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6021 ab:aaa=b,ababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6022 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:29,nodes:28,pairs:0,completionMax:8us [00m16s] 6022 ab:aaa=b,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6022 ab:aaa=b,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6023 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:17,nodes:24,pairs:0,completionMax:6us [00m16s] 6023 ab:aaa=b,abbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6023 ab:aaa=b,abbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6024 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:28,nodes:28,pairs:0,completionMax:7us [00m16s] 6024 ab:aaa=b,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6024 ab:aaa=b,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6025 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:27,nodes:28,pairs:0,completionMax:7us [00m16s] 6025 ab:aaa=b,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6025 ab:aaa=b,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6026 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:26,nodes:28,pairs:0,completionMax:8us [00m16s] 6026 ab:aaa=b,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6026 ab:aaa=b,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6027 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:40,nodes:32,pairs:0,completionMax:10us [00m16s] 6027 ab:aaa=b,abbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6027 ab:aaa=b,abbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaa,b=a [00m16s] # 6028 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:9,nodes:20,pairs:0,completionMax:4us [00m16s] 6028 ab:aaa=b,baaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaa [00m16s] from: 6028 ab:aaa=b,baaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbb,b=b [00m16s] # 6029 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:18,nodes:24,pairs:0,completionMax:8us [00m16s] 6029 ab:aaa=b,baaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6029 ab:aaa=b,baaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6030 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:17,nodes:24,pairs:0,completionMax:6us [00m16s] 6030 ab:aaa=b,baabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaa [00m16s] from: 6030 ab:aaa=b,baabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a3;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbb [00m16s] # 6031 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:28,nodes:28,pairs:0,completionMax:9us [00m16s] 6031 ab:aaa=b,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6031 ab:aaa=b,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6032 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:27,nodes:28,pairs:0,completionMax:7us [00m16s] 6032 ab:aaa=b,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6032 ab:aaa=b,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6033 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:26,nodes:28,pairs:0,completionMax:7us [00m16s] 6033 ab:aaa=b,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6033 ab:aaa=b,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6034 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:39,nodes:32,pairs:0,completionMax:9us [00m16s] 6034 ab:aaa=b,babbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6034 ab:aaa=b,babbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaa,b=a [00m16s] # 6035 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:26,nodes:28,pairs:0,completionMax:11us [00m16s] 6035 ab:aaa=b,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6035 ab:aaa=b,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b5;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=b [00m16s] # 6036 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:38,nodes:32,pairs:0,completionMax:14us [00m16s] 6036 ab:aaa=b,bbabbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6036 ab:aaa=b,bbabbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=1,a=b11;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaa,b=a [00m16s] # 6037 solved: rounds:0,rules:2,peak:2,longest:18,steps:6,word:12,work:51,nodes:36,pairs:0,completionMax:12us [00m16s] 6037 ab:aaa=b,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a3;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaa [00m16s] from: 6037 ab:aaa=b,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a3;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=a,b=aaa [00m16s] # 6038 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:4,work:20,nodes:12,pairs:2,completionMax:9us [00m16s] 6038 ab:aab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m16s] from: 6038 ab:aab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m16s] # 6039 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:2,work:20,nodes:8,pairs:2,completionMax:6us [00m16s] 6039 ab:aab=a,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6039 ab:aab=a,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6040 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:2,work:19,nodes:8,pairs:2,completionMax:5us [00m16s] 6040 ab:aab=a,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6040 ab:aab=a,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6041 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:2,completionMax:4us [00m16s] 6041 ab:aab=a,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6041 ab:aab=a,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6042 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:2,work:18,nodes:8,pairs:2,completionMax:5us [00m16s] 6042 ab:aab=a,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6042 ab:aab=a,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6043 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:3us [00m16s] 6043 ab:aab=a,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6043 ab:aab=a,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6044 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:3us [00m16s] 6044 ab:aab=a,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6044 ab:aab=a,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6045 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:3us [00m16s] 6045 ab:aab=a,aaabbb=1 infinite ab - - ab:ab=1 [00m16s] from: 6045 ab:aab=a,aaabbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6046 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:2,work:17,nodes:8,pairs:2,completionMax:10us [00m16s] 6046 ab:aab=a,aabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6046 ab:aab=a,aabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6047 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:4us [00m16s] 6047 ab:aab=a,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6047 ab:aab=a,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6048 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:4us [00m16s] 6048 ab:aab=a,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6048 ab:aab=a,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6049 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [00m16s] 6049 ab:aab=a,aababb=1 infinite ab - - ab:ab=1 [00m16s] from: 6049 ab:aab=a,aababb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6050 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:64,nodes:10,pairs:9,completionMax:16us [00m16s] 6050 ab:aab=a,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6050 ab:aab=a,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6051 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:2us [00m16s] 6051 ab:aab=a,aabbab=1 infinite ab - - ab:aab=a,abab=1 [00m16s] from: 6051 ab:aab=a,aabbab=1 infinite to: 516 ab:aab=a,abab=1 infinite a=a,b=b [00m16s] # 6052 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:34,nodes:14,pairs:5,completionMax:15us [00m16s] 6052 ab:aab=a,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6052 ab:aab=a,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6053 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:21,nodes:10,pairs:7,completionMax:16us [00m16s] 6053 ab:aab=a,aabbbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6053 ab:aab=a,aabbbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6054 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:93,nodes:18,pairs:9,completionMax:25us [00m16s] 6054 ab:aab=a,abaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6054 ab:aab=a,abaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6055 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:67,nodes:10,pairs:9,completionMax:21us [00m16s] 6055 ab:aab=a,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6055 ab:aab=a,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6056 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:66,nodes:10,pairs:9,completionMax:23us [00m16s] 6056 ab:aab=a,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6056 ab:aab=a,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6057 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:3us [00m16s] 6057 ab:aab=a,abaabb=1 infinite ab - - ab:aab=a,abab=1 [00m16s] from: 6057 ab:aab=a,abaabb=1 infinite to: 516 ab:aab=a,abab=1 infinite a=a,b=b [00m16s] # 6058 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:96,nodes:14,pairs:11,completionMax:33us [00m16s] 6058 ab:aab=a,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6058 ab:aab=a,ababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6059 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:6,nodes:14,pairs:0,completionMax:3us [00m16s] 6059 ab:aab=a,ababab=1 infinite ab - - ab:aab=a,ababab=1 [00m16s] # 6060 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:54,nodes:18,pairs:6,completionMax:23us [00m16s] 6060 ab:aab=a,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6060 ab:aab=a,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6061 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:27,nodes:14,pairs:7,completionMax:47us [00m16s] 6061 ab:aab=a,ababbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6061 ab:aab=a,ababbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6062 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:217,nodes:20,pairs:19,completionMax:33us [00m16s] 6062 ab:aab=a,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6062 ab:aab=a,abbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6063 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:14,pairs:5,completionMax:9us [00m16s] 6063 ab:aab=a,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6063 ab:aab=a,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6064 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:58,nodes:18,pairs:7,completionMax:17us [00m16s] 6064 ab:aab=a,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6064 ab:aab=a,abbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6065 solved: rounds:4,rules:2,peak:4,longest:6,steps:3,word:0,work:52,nodes:18,pairs:7,completionMax:14us [00m16s] 6065 ab:aab=a,abbabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6065 ab:aab=a,abbabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6066 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:81,nodes:20,pairs:10,completionMax:18us [00m16s] 6066 ab:aab=a,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6066 ab:aab=a,abbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6067 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:309,nodes:20,pairs:33,completionMax:50us [00m16s] 6067 ab:aab=a,abbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6067 ab:aab=a,abbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6068 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:135,nodes:18,pairs:17,completionMax:34us [00m16s] 6068 ab:aab=a,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6068 ab:aab=a,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6069 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:63,nodes:14,pairs:8,completionMax:15us [00m16s] 6069 ab:aab=a,abbbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6069 ab:aab=a,abbbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6070 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:238,nodes:22,pairs:16,completionMax:37us [00m16s] 6070 ab:aab=a,baaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6070 ab:aab=a,baaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6071 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:140,nodes:14,pairs:14,completionMax:30us [00m16s] 6071 ab:aab=a,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6071 ab:aab=a,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6072 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:139,nodes:14,pairs:14,completionMax:28us [00m16s] 6072 ab:aab=a,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6072 ab:aab=a,baaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6073 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:6us [00m16s] 6073 ab:aab=a,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6073 ab:aab=a,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6074 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:138,nodes:14,pairs:14,completionMax:39us [00m16s] 6074 ab:aab=a,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6074 ab:aab=a,baabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6075 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:7us [00m16s] 6075 ab:aab=a,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6075 ab:aab=a,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6076 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:12,pairs:2,completionMax:11us [00m16s] 6076 ab:aab=a,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6076 ab:aab=a,baabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6077 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:70,nodes:12,pairs:9,completionMax:32us [00m16s] 6077 ab:aab=a,baabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6077 ab:aab=a,baabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6078 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:158,nodes:18,pairs:15,completionMax:40us [00m16s] 6078 ab:aab=a,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6078 ab:aab=a,babaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6079 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:12,pairs:2,completionMax:11us [00m16s] 6079 ab:aab=a,babaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6079 ab:aab=a,babaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6080 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:30,nodes:16,pairs:3,completionMax:17us [00m16s] 6080 ab:aab=a,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6080 ab:aab=a,bababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6081 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:106,nodes:16,pairs:10,completionMax:31us [00m16s] 6081 ab:aab=a,bababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6081 ab:aab=a,bababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6082 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:54,nodes:18,pairs:7,completionMax:15us [00m16s] 6082 ab:aab=a,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6082 ab:aab=a,babbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6083 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:754,nodes:22,pairs:42,completionMax:136us [00m16s] 6083 ab:aab=a,babbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6083 ab:aab=a,babbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6084 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:250,nodes:18,pairs:18,completionMax:44us [00m16s] 6084 ab:aab=a,babbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6084 ab:aab=a,babbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6085 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:124,nodes:20,pairs:14,completionMax:33us [00m16s] 6085 ab:aab=a,babbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6085 ab:aab=a,babbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6086 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:226,nodes:18,pairs:18,completionMax:41us [00m16s] 6086 ab:aab=a,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6086 ab:aab=a,bbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6087 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:32,nodes:12,pairs:6,completionMax:11us [00m16s] 6087 ab:aab=a,bbaaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6087 ab:aab=a,bbaaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6088 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:31,nodes:12,pairs:6,completionMax:11us [00m16s] 6088 ab:aab=a,bbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6088 ab:aab=a,bbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6089 solved: rounds:3,rules:2,peak:8,longest:4,steps:3,word:0,work:480,nodes:18,pairs:35,completionMax:72us [00m16s] 6089 ab:aab=a,bbaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6089 ab:aab=a,bbaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6090 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:48,nodes:16,pairs:7,completionMax:19us [00m16s] 6090 ab:aab=a,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6090 ab:aab=a,bbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6091 solved: rounds:3,rules:2,peak:12,longest:6,steps:4,word:0,work:1606,nodes:28,pairs:98,completionMax:395us [00m16s] 6091 ab:aab=a,bbabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6091 ab:aab=a,bbabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6092 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:98,nodes:16,pairs:10,completionMax:24us [00m16s] 6092 ab:aab=a,bbabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6092 ab:aab=a,bbabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6093 solved: rounds:3,rules:2,peak:10,longest:14,steps:8,word:8,work:2773,nodes:44,pairs:96,completionMax:323us [00m16s] 6093 ab:aab=a,bbabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6093 ab:aab=a,bbabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6094 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:83,nodes:20,pairs:13,completionMax:26us [00m16s] 6094 ab:aab=a,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6094 ab:aab=a,bbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6095 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:85,nodes:12,pairs:8,completionMax:27us [00m16s] 6095 ab:aab=a,bbbaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6095 ab:aab=a,bbbaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6096 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:138,nodes:16,pairs:10,completionMax:23us [00m16s] 6096 ab:aab=a,bbbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6096 ab:aab=a,bbbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6097 solved: rounds:2,rules:2,peak:15,longest:6,steps:11,word:2,work:2750,nodes:32,pairs:25,completionMax:165us [00m16s] 6097 ab:aab=a,bbbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6097 ab:aab=a,bbbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6098 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:198,nodes:18,pairs:14,completionMax:40us [00m16s] 6098 ab:aab=a,bbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6098 ab:aab=a,bbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6099 solved: rounds:4,rules:2,peak:10,longest:6,steps:6,word:4,work:1336,nodes:32,pairs:43,completionMax:147us [00m16s] 6099 ab:aab=a,bbbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6099 ab:aab=a,bbbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6100 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:4,work:188,nodes:16,pairs:13,completionMax:41us [00m16s] 6100 ab:aab=a,bbbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6100 ab:aab=a,bbbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6101 solved: rounds:6,rules:3,peak:4,longest:7,steps:5,word:4,work:185,nodes:24,pairs:6,completionMax:46us [00m16s] 6101 ab:aab=a,bbbbbb=1 finite:42;idempotents:1,ba,bbaa,aaaaaa,bbbaaa,bbbbaaaa,bbbbbaaaaa a/b - - ab:aaaaaaa=a,ab=aaaaaa,bbbbbb=1 [00m16s] # 6102 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:18,nodes:12,pairs:0,completionMax:4us [00m16s] 6102 ab:aab=b,aaaaaa=1 infinite ab - - ab:aab=b,aaaaaa=1 [00m16s] # 6103 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:5us [00m16s] 6103 ab:aab=b,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6103 ab:aab=b,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6104 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:4,completionMax:12us [00m16s] 6104 ab:aab=b,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6104 ab:aab=b,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6105 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:4us [00m16s] 6105 ab:aab=b,aaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6105 ab:aab=b,aaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6106 solved: rounds:3,rules:2,peak:8,longest:4,steps:2,word:0,work:171,nodes:14,pairs:23,completionMax:47us [00m16s] 6106 ab:aab=b,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6106 ab:aab=b,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6107 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:14,pairs:5,completionMax:9us [00m16s] 6107 ab:aab=b,aaabab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6107 ab:aab=b,aaabab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6108 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:56,nodes:14,pairs:10,completionMax:17us [00m16s] 6108 ab:aab=b,aaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6108 ab:aab=b,aaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6109 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:21,nodes:12,pairs:4,completionMax:10us [00m16s] 6109 ab:aab=b,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6109 ab:aab=b,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6110 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:92,nodes:12,pairs:8,completionMax:20us [00m16s] 6110 ab:aab=b,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6110 ab:aab=b,aabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6111 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:3us [00m16s] 6111 ab:aab=b,aabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6111 ab:aab=b,aabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6112 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:63,nodes:12,pairs:4,completionMax:17us [00m16s] 6112 ab:aab=b,aababa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6112 ab:aab=b,aababa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6113 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:188,nodes:16,pairs:7,completionMax:30us [00m16s] 6113 ab:aab=b,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6113 ab:aab=b,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6114 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:82,nodes:12,pairs:7,completionMax:23us [00m16s] 6114 ab:aab=b,aabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6114 ab:aab=b,aabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6115 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:169,nodes:14,pairs:17,completionMax:43us [00m16s] 6115 ab:aab=b,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6115 ab:aab=b,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6116 solved: rounds:3,rules:2,peak:5,longest:7,steps:1,word:2,work:109,nodes:16,pairs:10,completionMax:34us [00m16s] 6116 ab:aab=b,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6116 ab:aab=b,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6117 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:12,pairs:1,completionMax:4us [00m16s] 6117 ab:aab=b,aabbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6117 ab:aab=b,aabbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6118 solved: rounds:3,rules:2,peak:9,longest:6,steps:2,word:0,work:360,nodes:22,pairs:30,completionMax:81us [00m16s] 6118 ab:aab=b,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6118 ab:aab=b,abaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6119 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:14,pairs:5,completionMax:6us [00m16s] 6119 ab:aab=b,abaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6119 ab:aab=b,abaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6120 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:57,nodes:14,pairs:10,completionMax:19us [00m16s] 6120 ab:aab=b,abaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6120 ab:aab=b,abaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6121 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:22,nodes:12,pairs:4,completionMax:18us [00m16s] 6121 ab:aab=b,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6121 ab:aab=b,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6122 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:0,work:318,nodes:22,pairs:22,completionMax:52us [00m16s] 6122 ab:aab=b,ababaa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6122 ab:aab=b,ababaa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6123 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:37,nodes:22,pairs:7,completionMax:14us [00m16s] 6123 ab:aab=b,ababab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [00m16s] from: 6123 ab:aab=b,ababab=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [00m16s] # 6124 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:4,work:489,nodes:22,pairs:31,completionMax:104us [00m16s] 6124 ab:aab=b,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6124 ab:aab=b,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6125 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:535,nodes:24,pairs:16,completionMax:45us [00m16s] 6125 ab:aab=b,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6125 ab:aab=b,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6126 solved: rounds:2,rules:2,peak:9,longest:6,steps:2,word:0,work:379,nodes:22,pairs:24,completionMax:101us [00m16s] 6126 ab:aab=b,abbaaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6126 ab:aab=b,abbaaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6127 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:23,nodes:12,pairs:4,completionMax:14us [00m16s] 6127 ab:aab=b,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6127 ab:aab=b,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6128 solved: rounds:5,rules:2,peak:9,longest:6,steps:4,word:2,work:866,nodes:24,pairs:65,completionMax:123us [00m16s] 6128 ab:aab=b,abbaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6128 ab:aab=b,abbaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6129 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:473,nodes:27,pairs:20,completionMax:56us [00m16s] 6129 ab:aab=b,abbabb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m16s] from: 6129 ab:aab=b,abbabb=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m16s] # 6130 solved: rounds:3,rules:2,peak:9,longest:7,steps:2,word:2,work:653,nodes:26,pairs:32,completionMax:97us [00m16s] 6130 ab:aab=b,abbbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6130 ab:aab=b,abbbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6131 solved: rounds:3,rules:3,peak:6,longest:10,steps:12,word:12,work:912,nodes:32,pairs:16,completionMax:78us [00m16s] 6131 ab:aab=b,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6131 ab:aab=b,abbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6132 solved: rounds:2,rules:2,peak:5,longest:6,steps:1,word:0,work:78,nodes:22,pairs:10,completionMax:27us [00m16s] 6132 ab:aab=b,abbbba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6132 ab:aab=b,abbbba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6133 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:27,nodes:20,pairs:4,completionMax:15us [00m16s] 6133 ab:aab=b,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6133 ab:aab=b,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6134 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:129,nodes:16,pairs:10,completionMax:28us [00m16s] 6134 ab:aab=b,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6134 ab:aab=b,baaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6135 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:5us [00m16s] 6135 ab:aab=b,baaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6135 ab:aab=b,baaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6136 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:4,completionMax:18us [00m16s] 6136 ab:aab=b,baaaba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6136 ab:aab=b,baaaba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6137 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:190,nodes:16,pairs:7,completionMax:31us [00m16s] 6137 ab:aab=b,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6137 ab:aab=b,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6138 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:83,nodes:12,pairs:7,completionMax:22us [00m16s] 6138 ab:aab=b,baabaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6138 ab:aab=b,baabaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6139 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:170,nodes:14,pairs:17,completionMax:36us [00m16s] 6139 ab:aab=b,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6139 ab:aab=b,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6140 solved: rounds:3,rules:2,peak:5,longest:7,steps:1,word:2,work:110,nodes:16,pairs:10,completionMax:34us [00m16s] 6140 ab:aab=b,baabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6140 ab:aab=b,baabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6141 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:6us [00m16s] 6141 ab:aab=b,baabbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6141 ab:aab=b,baabbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6142 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:154,nodes:16,pairs:8,completionMax:26us [00m16s] 6142 ab:aab=b,babaaa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [00m16s] from: 6142 ab:aab=b,babaaa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [00m16s] # 6143 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:191,nodes:16,pairs:7,completionMax:30us [00m16s] 6143 ab:aab=b,babaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6143 ab:aab=b,babaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6144 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:102,nodes:16,pairs:4,completionMax:37us [00m16s] 6144 ab:aab=b,bababa=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [00m16s] from: 6144 ab:aab=b,bababa=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [00m16s] # 6145 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2140,nodes:38,pairs:48,completionMax:194us [00m16s] 6145 ab:aab=b,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6145 ab:aab=b,bababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6146 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:342,nodes:18,pairs:14,completionMax:45us [00m16s] 6146 ab:aab=b,babbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6146 ab:aab=b,babbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6147 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:380,nodes:45,pairs:14,completionMax:58us [00m16s] 6147 ab:aab=b,babbab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [00m16s] from: 6147 ab:aab=b,babbab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [00m16s] # 6148 solved: rounds:3,rules:3,peak:8,longest:8,steps:6,word:8,work:1213,nodes:30,pairs:27,completionMax:114us [00m16s] 6148 ab:aab=b,babbba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6148 ab:aab=b,babbba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6149 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:506,nodes:32,pairs:17,completionMax:52us [00m16s] 6149 ab:aab=b,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6149 ab:aab=b,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6150 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:122,nodes:16,pairs:9,completionMax:24us [00m16s] 6150 ab:aab=b,bbaaaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [00m16s] from: 6150 ab:aab=b,bbaaaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [00m16s] # 6151 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:172,nodes:14,pairs:17,completionMax:40us [00m16s] 6151 ab:aab=b,bbaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6151 ab:aab=b,bbaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6152 solved: rounds:3,rules:2,peak:5,longest:7,steps:1,word:2,work:111,nodes:16,pairs:10,completionMax:32us [00m16s] 6152 ab:aab=b,bbaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6152 ab:aab=b,bbaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6153 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:12,pairs:1,completionMax:11us [00m16s] 6153 ab:aab=b,bbaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6153 ab:aab=b,bbaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6154 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:4,work:589,nodes:20,pairs:27,completionMax:73us [00m16s] 6154 ab:aab=b,bbabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6154 ab:aab=b,bbabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6155 solved: rounds:4,rules:3,peak:9,longest:10,steps:12,word:6,work:3132,nodes:54,pairs:31,completionMax:165us [00m16s] 6155 ab:aab=b,bbabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6155 ab:aab=b,bbabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6156 solved: rounds:4,rules:5,peak:9,longest:6,steps:6,word:2,work:598,nodes:33,pairs:26,completionMax:69us [00m16s] 6156 ab:aab=b,bbabba=1 infinite;group:a-a,b-acab,c-aca reversed:ac/b bb=c frequency:2/0 abc:aa=1,cac=a,bc=cb,bac=acaba,bb=c [00m16s] from: 6156 ab:aab=b,bbabba=1 infinite;group:a-a,b-acab,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca anti:a=a,b=b,c=c [00m16s] # 6157 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:742,nodes:30,pairs:16,completionMax:49us [00m16s] 6157 ab:aab=b,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6157 ab:aab=b,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6158 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:184,nodes:22,pairs:10,completionMax:27us [00m16s] 6158 ab:aab=b,bbbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6158 ab:aab=b,bbbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6159 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:12,pairs:1,completionMax:4us [00m16s] 6159 ab:aab=b,bbbaab=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6159 ab:aab=b,bbbaab=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6160 solved: rounds:5,rules:3,peak:6,longest:9,steps:12,word:4,work:1547,nodes:36,pairs:38,completionMax:103us [00m16s] 6160 ab:aab=b,bbbaba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [00m16s] from: 6160 ab:aab=b,bbbaba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [00m16s] # 6161 solved: rounds:3,rules:2,peak:7,longest:10,steps:10,word:8,work:2078,nodes:28,pairs:36,completionMax:105us [00m16s] 6161 ab:aab=b,bbbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6161 ab:aab=b,bbbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6162 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:132,nodes:16,pairs:7,completionMax:26us [00m16s] 6162 ab:aab=b,bbbbaa=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [00m16s] from: 6162 ab:aab=b,bbbbaa=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [00m16s] # 6163 solved: rounds:4,rules:2,peak:8,longest:17,steps:7,word:8,work:2603,nodes:48,pairs:30,completionMax:138us [00m16s] 6163 ab:aab=b,bbbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6163 ab:aab=b,bbbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6164 solved: rounds:3,rules:2,peak:5,longest:11,steps:1,word:4,work:169,nodes:24,pairs:10,completionMax:37us [00m16s] 6164 ab:aab=b,bbbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6164 ab:aab=b,bbbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6165 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:16,pairs:1,completionMax:9us [00m16s] 6165 ab:aab=b,bbbbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [00m16s] from: 6165 ab:aab=b,bbbbbb=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [00m16s] # 6166 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:4,work:39,nodes:16,pairs:4,completionMax:25us [00m16s] 6166 ab:aba=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [00m16s] from: 6166 ab:aba=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [00m16s] # 6167 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:91,nodes:14,pairs:6,completionMax:21us [00m16s] 6167 ab:aba=a,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6167 ab:aba=a,aaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6168 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:2,work:37,nodes:12,pairs:4,completionMax:26us [00m16s] 6168 ab:aba=a,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6168 ab:aba=a,aaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6169 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:22,nodes:14,pairs:3,completionMax:7us [00m16s] 6169 ab:aba=a,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6169 ab:aba=a,aaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6170 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:2,work:36,nodes:12,pairs:4,completionMax:10us [00m16s] 6170 ab:aba=a,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6170 ab:aba=a,aaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6171 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:10,pairs:6,completionMax:17us [00m16s] 6171 ab:aba=a,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6171 ab:aba=a,aaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6172 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:66,nodes:16,pairs:7,completionMax:23us [00m16s] 6172 ab:aba=a,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6172 ab:aba=a,aaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6173 solved: rounds:1,rules:1,peak:3,longest:6,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:4us [00m16s] 6173 ab:aba=a,aaabbb=1 infinite ab - - ab:ab=1 [00m16s] from: 6173 ab:aba=a,aaabbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6174 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:60,nodes:10,pairs:6,completionMax:14us [00m16s] 6174 ab:aba=a,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6174 ab:aba=a,aabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6175 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:9us [00m16s] 6175 ab:aba=a,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6175 ab:aba=a,aababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6176 solved: rounds:1,rules:1,peak:3,longest:4,steps:1,word:0,work:20,nodes:10,pairs:1,completionMax:4us [00m16s] 6176 ab:aba=a,aababb=1 infinite ab - - ab:ab=1 [00m16s] from: 6176 ab:aba=a,aababb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6177 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:68,nodes:16,pairs:8,completionMax:24us [00m16s] 6177 ab:aba=a,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6177 ab:aba=a,aabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6178 solved: rounds:1,rules:1,peak:3,longest:6,steps:2,word:0,work:30,nodes:14,pairs:2,completionMax:7us [00m16s] 6178 ab:aba=a,aabbab=1 infinite ab - - ab:ab=1 [00m16s] from: 6178 ab:aba=a,aabbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6179 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:0,work:55,nodes:16,pairs:3,completionMax:13us [00m16s] 6179 ab:aba=a,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6179 ab:aba=a,aabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6180 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:24,nodes:14,pairs:5,completionMax:14us [00m16s] 6180 ab:aba=a,aabbbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6180 ab:aba=a,aabbbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6181 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:10,pairs:6,completionMax:14us [00m16s] 6181 ab:aba=a,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6181 ab:aba=a,abaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6182 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:4,completionMax:12us [00m16s] 6182 ab:aba=a,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6182 ab:aba=a,abaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6183 solved: rounds:1,rules:1,peak:3,longest:4,steps:1,word:0,work:19,nodes:10,pairs:1,completionMax:5us [00m16s] 6183 ab:aba=a,abaabb=1 infinite ab - - ab:ab=1 [00m16s] from: 6183 ab:aba=a,abaabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6184 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:0,completionMax:2us [00m16s] 6184 ab:aba=a,ababab=1 infinite ab - - ab:ab=1 [00m16s] from: 6184 ab:aba=a,ababab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [00m16s] # 6185 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:39,nodes:10,pairs:3,completionMax:11us [00m16s] 6185 ab:aba=a,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6185 ab:aba=a,ababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6186 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:8,pairs:5,completionMax:9us [00m16s] 6186 ab:aba=a,ababbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6186 ab:aba=a,ababbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6187 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:58,nodes:16,pairs:6,completionMax:15us [00m16s] 6187 ab:aba=a,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6187 ab:aba=a,abbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6188 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:29,nodes:12,pairs:6,completionMax:10us [00m16s] 6188 ab:aba=a,abbabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6188 ab:aba=a,abbabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6189 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:0,work:109,nodes:16,pairs:16,completionMax:25us [00m16s] 6189 ab:aba=a,abbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6189 ab:aba=a,abbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6190 solved: rounds:4,rules:2,peak:4,longest:6,steps:1,word:0,work:61,nodes:14,pairs:12,completionMax:24us [00m16s] 6190 ab:aba=a,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6190 ab:aba=a,abbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6191 solved: rounds:6,rules:2,peak:4,longest:6,steps:2,word:2,work:79,nodes:12,pairs:14,completionMax:35us [00m16s] 6191 ab:aba=a,abbbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6191 ab:aba=a,abbbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6192 solved: rounds:4,rules:2,peak:6,longest:6,steps:2,word:0,work:211,nodes:22,pairs:21,completionMax:47us [00m16s] 6192 ab:aba=a,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6192 ab:aba=a,baaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6193 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:106,nodes:22,pairs:12,completionMax:38us [00m16s] 6193 ab:aba=a,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6193 ab:aba=a,baaabb=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6194 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:62,nodes:14,pairs:6,completionMax:27us [00m16s] 6194 ab:aba=a,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [00m16s] from: 6194 ab:aba=a,baabab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [00m16s] # 6195 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:266,nodes:22,pairs:11,completionMax:48us [00m16s] 6195 ab:aba=a,baabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6195 ab:aba=a,baabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6196 solved: rounds:2,rules:2,peak:7,longest:4,steps:2,word:0,work:147,nodes:12,pairs:12,completionMax:38us [00m16s] 6196 ab:aba=a,bababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6196 ab:aba=a,bababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6197 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:293,nodes:20,pairs:15,completionMax:69us [00m16s] 6197 ab:aba=a,babbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6197 ab:aba=a,babbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6198 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:2,work:196,nodes:20,pairs:16,completionMax:31us [00m16s] 6198 ab:aba=a,babbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6198 ab:aba=a,babbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6199 solved: rounds:3,rules:2,peak:12,longest:7,steps:4,word:0,work:1881,nodes:42,pairs:75,completionMax:199us [00m16s] 6199 ab:aba=a,bbaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6199 ab:aba=a,bbaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6200 solved: rounds:6,rules:2,peak:6,longest:6,steps:5,word:2,work:663,nodes:22,pairs:27,completionMax:84us [00m16s] 6200 ab:aba=a,bbabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [00m16s] from: 6200 ab:aba=a,bbabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [00m16s] # 6201 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:6,nodes:16,pairs:0,completionMax:4us [00m16s] 6201 ab:aba=a,bbbbbb=1 infinite ab - - ab:aba=a,bbbbbb=1 [00m16s] # 6202 solved: rounds:1,rules:2,peak:3,longest:6,steps:11,word:12,work:268,nodes:14,pairs:3,completionMax:22us [00m16s] 6202 ab:aba=b,aaaaaa=1 infinite a/b - - ab:aaaaaa=1,ab=baaaaa [00m16s] # 6203 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:211,nodes:18,pairs:19,completionMax:42us [00m16s] 6203 ab:aba=b,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6203 ab:aba=b,aaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6204 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:163,nodes:14,pairs:12,completionMax:29us [00m16s] 6204 ab:aba=b,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6204 ab:aba=b,aaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6205 solved: rounds:4,rules:3,peak:11,longest:8,steps:11,word:12,work:2597,nodes:38,pairs:44,completionMax:210us [00m16s] 6205 ab:aba=b,aaaabb=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaaaaaa,bb=aaaa [00m16s] # 6206 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:8us [00m16s] 6206 ab:aba=b,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [00m16s] from: 6206 ab:aba=b,aaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [00m16s] # 6207 solved: rounds:4,rules:3,peak:9,longest:4,steps:4,word:2,work:709,nodes:18,pairs:24,completionMax:109us [00m16s] 6207 ab:aba=b,aaabab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 6207 ab:aba=b,aaabab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 6208 solved: rounds:5,rules:3,peak:10,longest:10,steps:14,word:12,work:3551,nodes:46,pairs:40,completionMax:237us [00m16s] 6208 ab:aba=b,aaabba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaaaaaa,bb=aaaa [00m16s] from: 6208 ab:aba=b,aaabba=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 6205 ab:aba=b,aaaabb=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 6209 solved: rounds:3,rules:2,peak:9,longest:9,steps:5,word:6,work:1003,nodes:42,pairs:25,completionMax:104us [00m16s] 6209 ab:aba=b,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6209 ab:aba=b,aaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6210 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [00m16s] 6210 ab:aba=b,aabaab=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m16s] from: 6210 ab:aba=b,aabaab=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m16s] # 6211 solved: rounds:4,rules:3,peak:10,longest:5,steps:7,word:2,work:1112,nodes:24,pairs:24,completionMax:127us [00m16s] 6211 ab:aba=b,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 6211 ab:aba=b,aababa=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 6212 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:2,work:92,nodes:14,pairs:9,completionMax:33us [00m16s] 6212 ab:aba=b,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6212 ab:aba=b,aababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6213 solved: rounds:5,rules:3,peak:10,longest:10,steps:14,word:12,work:3515,nodes:46,pairs:41,completionMax:252us [00m16s] 6213 ab:aba=b,aabbaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaaaaaa,bb=aaaa [00m16s] from: 6213 ab:aba=b,aabbaa=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 6205 ab:aba=b,aaaabb=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 6214 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:296,nodes:20,pairs:15,completionMax:49us [00m16s] 6214 ab:aba=b,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6214 ab:aba=b,aabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6215 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:4,work:337,nodes:18,pairs:21,completionMax:49us [00m16s] 6215 ab:aba=b,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6215 ab:aba=b,aabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6216 solved: rounds:4,rules:3,peak:11,longest:6,steps:12,word:2,work:1765,nodes:30,pairs:29,completionMax:130us [00m16s] 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] # 6217 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:2,work:300,nodes:14,pairs:14,completionMax:43us [00m16s] 6217 ab:aba=b,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa a/b - - ab:aaaa=1,ab=baaa,bb=aa [00m16s] from: 6217 ab:aba=b,abaaab=1 finite:8;center:1,aa;group:a-aaa,b-baa to: 556 ab:aba=b,aabb=1 finite:8;center:1,aa;group:a-aaa,b-baa a=a,b=b [00m16s] # 6218 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [00m16s] 6218 ab:aba=b,abaaba=1 infinite;group:a-bab,b-b ab - - ab:bb=1,aba=b [00m16s] from: 6218 ab:aba=b,abaaba=1 infinite;group:a-bab,b-b to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=b,b=a [00m16s] # 6219 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:28,nodes:12,pairs:6,completionMax:15us [00m16s] 6219 ab:aba=b,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6219 ab:aba=b,abaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6220 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:30,nodes:12,pairs:6,completionMax:9us [00m16s] 6220 ab:aba=b,ababab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6220 ab:aba=b,ababab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6221 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:2,work:88,nodes:16,pairs:9,completionMax:22us [00m16s] 6221 ab:aba=b,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6221 ab:aba=b,ababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6222 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:33,nodes:12,pairs:1,completionMax:7us [00m16s] 6222 ab:aba=b,ababbb=1 infinite;group:a-babbb,b-bbb ab - - ab:aba=b,bba=abb,bbbb=1 [00m16s] from: 6222 ab:aba=b,ababbb=1 infinite;group:a-babbb,b-bbb to: 562 ab:aba=b,bbbb=1 infinite;group:a-babbb,b-bbb a=a,b=b [00m16s] # 6223 solved: rounds:2,rules:2,peak:6,longest:6,steps:13,word:4,work:987,nodes:26,pairs:24,completionMax:74us [00m16s] 6223 ab:aba=b,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6223 ab:aba=b,abbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6224 solved: rounds:4,rules:3,peak:13,longest:6,steps:6,word:4,work:2461,nodes:32,pairs:38,completionMax:174us [00m16s] 6224 ab:aba=b,abbabb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] from: 6224 ab:aba=b,abbabb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a=a,b=b [00m16s] # 6225 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:0,work:129,nodes:16,pairs:6,completionMax:31us [00m16s] 6225 ab:aba=b,abbbab=1 infinite;group:a-babbb,b-bbb ab - - ab:aba=b,bba=abb,bbbb=1 [00m16s] from: 6225 ab:aba=b,abbbab=1 infinite;group:a-babbb,b-bbb to: 562 ab:aba=b,bbbb=1 infinite;group:a-babbb,b-bbb a=a,b=b [00m16s] # 6226 solved: rounds:4,rules:3,peak:9,longest:6,steps:19,word:4,work:1914,nodes:24,pairs:30,completionMax:155us [00m16s] 6226 ab:aba=b,abbbba=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] from: 6226 ab:aba=b,abbbba=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a=a,b=b [00m16s] # 6227 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:4,work:130,nodes:22,pairs:9,completionMax:35us [00m16s] 6227 ab:aba=b,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6227 ab:aba=b,abbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6228 solved: rounds:5,rules:3,peak:9,longest:15,steps:15,word:18,work:3631,nodes:58,pairs:49,completionMax:253us [00m16s] 6228 ab:aba=b,baaaab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a/b - - ab:aaaaaaaa=1,ab=baaaaaaa,bb=aaaa [00m16s] from: 6228 ab:aba=b,baaaab=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa to: 6205 ab:aba=b,aaaabb=1 finite:16;center:1,aaaa;group:a-aaaaaaa,b-baaaa a=a,b=b [00m16s] # 6229 solved: rounds:3,rules:2,peak:10,longest:6,steps:34,word:4,work:2108,nodes:28,pairs:33,completionMax:142us [00m16s] 6229 ab:aba=b,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6229 ab:aba=b,baaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6230 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:30,nodes:12,pairs:6,completionMax:15us [00m16s] 6230 ab:aba=b,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [00m16s] from: 6230 ab:aba=b,baabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [00m16s] # 6231 solved: rounds:2,rules:3,peak:9,longest:8,steps:10,word:6,work:1990,nodes:38,pairs:21,completionMax:144us [00m16s] 6231 ab:aba=b,baabbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] from: 6231 ab:aba=b,baabbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a=a,b=b [00m16s] # 6232 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:10us [00m16s] 6232 ab:aba=b,bababb=1 infinite;group:a-babbb,b-bbb ab - - ab:aba=b,bba=abb,bbbb=1 [00m16s] from: 6232 ab:aba=b,bababb=1 infinite;group:a-babbb,b-bbb to: 562 ab:aba=b,bbbb=1 infinite;group:a-babbb,b-bbb a=a,b=b [00m16s] # 6233 solved: rounds:3,rules:3,peak:8,longest:6,steps:12,word:2,work:1059,nodes:26,pairs:21,completionMax:99us [00m16s] 6233 ab:aba=b,babbab=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] from: 6233 ab:aba=b,babbab=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a=a,b=b [00m16s] # 6234 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:35,nodes:20,pairs:6,completionMax:25us [00m16s] 6234 ab:aba=b,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6234 ab:aba=b,babbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6235 solved: rounds:4,rules:3,peak:13,longest:7,steps:10,word:4,work:3777,nodes:38,pairs:38,completionMax:264us [00m16s] 6235 ab:aba=b,bbaabb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a/b - - ab:aaaa=1,ab=baaa,bbbb=aa [00m16s] from: 6235 ab:aba=b,bbaabb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa a=a,b=b [00m16s] # 6236 solved: rounds:2,rules:2,peak:5,longest:10,steps:6,word:8,work:647,nodes:30,pairs:14,completionMax:48us [00m16s] 6236 ab:aba=b,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [00m16s] from: 6236 ab:aba=b,bbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [00m16s] # 6237 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:53,nodes:16,pairs:1,completionMax:9us [00m16s] 6237 ab:aba=b,bbbbbb=1 infinite;group:a-babbbbb,b-bbbbb ab - - ab:aba=b,bba=abb,bbbbbb=1 [00m16s] # 6238 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [00m16s] 6238 ab:aaa=a,aaaaa=a infinite ab - - ab:aaa=a [00m16s] # 6239 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [00m16s] 6239 ab:aaa=a,aaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6239 ab:aaa=a,aaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6240 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:13us [00m16s] 6240 ab:aaa=a,aaaab=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6240 ab:aaa=a,aaaab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6241 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [00m16s] 6241 ab:aaa=a,aaaab=b infinite ab - - ab:aaa=a,aab=b [00m16s] from: 6241 ab:aaa=a,aaaab=b infinite to: 564 ab:aaa=a,aab=b infinite a=a,b=b [00m16s] # 6242 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:8us [00m16s] 6242 ab:aaa=a,aaaba=a infinite ab - - ab:aaa=a,aba=a [00m16s] from: 6242 ab:aaa=a,aaaba=a infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [00m16s] # 6243 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:112,nodes:14,pairs:7,completionMax:41us [00m16s] 6243 ab:aaa=a,aaaba=b infinite;commutative:ab:a3=a,a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaa=a,aab=b [00m16s] from: 6243 ab:aaa=a,aaaba=b infinite;commutative:ab:a3=a,a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 566 ab:aaa=a,aba=b infinite;commutative:ab:a3=a,a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m16s] # 6244 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [00m16s] 6244 ab:aaa=a,aaabb=a infinite ab - - ab:aaa=a,abb=a [00m16s] from: 6244 ab:aaa=a,aaabb=a infinite to: 567 ab:aaa=a,abb=a infinite a=a,b=b [00m16s] # 6245 solved: rounds:3,rules:3,peak:4,longest:3,steps:1,word:0,work:40,nodes:10,pairs:4,completionMax:21us [00m16s] 6245 ab:aaa=a,aaabb=b finite:9;idempotents:1,aa,ba,bb,bbaa ba - - ab:ab=bb,bbb=b,aaa=a [00m16s] from: 6245 ab:aaa=a,aaabb=b finite:9;idempotents:1,aa,ba,bb,bbaa to: 568 ab:aaa=a,abb=b finite:9;idempotents:1,aa,ba,bb,bbaa a=a,b=b [00m16s] # 6246 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:261,nodes:14,pairs:9,completionMax:32us [00m16s] 6246 ab:aaa=a,aabaa=a infinite ab - - ab:aaa=a,aba=a [00m16s] from: 6246 ab:aaa=a,aabaa=a infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [00m16s] # 6247 solved: rounds:1,rules:3,peak:4,longest:5,steps:1,word:0,work:77,nodes:14,pairs:6,completionMax:21us [00m16s] 6247 ab:aaa=a,aabaa=b infinite ab - - ab:aaa=a,aab=b,baa=b [00m16s] # 6248 solved: rounds:3,rules:6,peak:6,longest:5,steps:2,word:1,work:90,nodes:15,pairs:6,completionMax:18us [00m16s] 6248 ab:aaa=a,aabab=a infinite ac/b ab=c frequency:2/0 abc:cc=aa,aaa=a,aac=c,caa=c,ab=c,cb=cac [00m16s] # 6249 solved: rounds:2,rules:3,peak:4,longest:5,steps:1,word:0,work:70,nodes:14,pairs:4,completionMax:16us [00m16s] 6249 ab:aaa=a,aabab=b infinite ab - - ab:aaa=a,aab=b,bab=b [00m16s] # 6250 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:81,nodes:14,pairs:1,completionMax:11us [00m16s] 6250 ab:aaa=a,aabba=a infinite ab - - ab:aaa=a,abba=aa [00m16s] # 6251 solved: rounds:2,rules:4,peak:7,longest:5,steps:3,word:0,work:313,nodes:18,pairs:15,completionMax:42us [00m16s] 6251 ab:aaa=a,aabba=b finite:7;idempotents:1,aa,ab,bb;center:1,aa ba - - ab:ba=bb,bbb=b,aab=b,aaa=a [00m16s] # 6252 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:14,pairs:1,completionMax:6us [00m16s] 6252 ab:aaa=a,aabbb=a infinite ab - - ab:aaa=a,abbb=aa [00m16s] # 6253 solved: rounds:2,rules:3,peak:4,longest:5,steps:1,word:0,work:53,nodes:14,pairs:4,completionMax:15us [00m16s] 6253 ab:aaa=a,aabbb=b infinite ab - - ab:aaa=a,aab=b,bbb=b [00m16s] # 6254 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:78,nodes:12,pairs:5,completionMax:16us [00m16s] 6254 ab:aaa=a,abaab=a infinite ab - - ab:aaa=a,abb=a,abaa=ab [00m16s] # 6255 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:136,nodes:14,pairs:8,completionMax:19us [00m16s] 6255 ab:aaa=a,abaab=b finite:9;idempotents:1,aa,ba,bb,bbaa ba - - ab:ab=bb,bbb=b,aaa=a [00m16s] from: 6255 ab:aaa=a,abaab=b finite:9;idempotents:1,aa,ba,bb,bbaa to: 568 ab:aaa=a,abb=b finite:9;idempotents:1,aa,ba,bb,bbaa a=a,b=b [00m16s] # 6256 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:4us [00m16s] 6256 ab:aaa=a,ababa=a infinite ab - - ab:aaa=a,ababa=a [00m16s] # 6257 solved: rounds:4,rules:6,peak:8,longest:5,steps:5,word:0,work:633,nodes:20,pairs:20,completionMax:92us [00m16s] 6257 ab:aaa=a,ababa=b finite:9;idempotents:1,aa,bb;center:1,aa,bb ab - - ab:aaa=a,aab=b,baa=b,bab=aba,bba=abb,bbb=b [00m16s] # 6258 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [00m16s] 6258 ab:aaa=a,ababb=a infinite ab - - ab:aaa=a,ababb=a [00m16s] # 6259 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:88,nodes:18,pairs:4,completionMax:21us [00m16s] 6259 ab:aaa=a,ababb=b infinite ab - - ab:aaa=a,aab=b,babb=ab,babab=b [00m16s] # 6260 solved: rounds:3,rules:4,peak:6,longest:6,steps:5,word:0,work:547,nodes:16,pairs:12,completionMax:65us [00m16s] 6260 ab:aaa=a,abbab=a infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbb=aa [00m16s] # 6261 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:127,nodes:18,pairs:6,completionMax:25us [00m16s] 6261 ab:aaa=a,abbab=b infinite ab - - ab:aaa=a,aab=b,bbb=b,bbab=ab [00m16s] # 6262 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:3us [00m16s] 6262 ab:aaa=a,abbba=a infinite ab - - ab:aaa=a,abbba=a [00m16s] # 6263 solved: rounds:3,rules:4,peak:7,longest:10,steps:11,word:6,work:637,nodes:38,pairs:16,completionMax:69us [00m16s] 6263 ab:aaa=a,abbba=b finite:19;idempotents:1,aa,bbbbbbbb;center:1,aa,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aab=b,aaa=a [00m16s] # 6264 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:5us [00m16s] 6264 ab:aaa=a,abbbb=a infinite ab - - ab:aaa=a,abbbb=a [00m16s] # 6265 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:2,work:54,nodes:18,pairs:4,completionMax:27us [00m16s] 6265 ab:aaa=a,abbbb=b finite:21;idempotents:1,aa,bbba,bbbbbb,bbbbbbaa b/a - - ab:bbbbbbb=b,ab=bbbb,aaa=a [00m16s] # 6266 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:221,nodes:24,pairs:12,completionMax:47us [00m16s] 6266 ab:aaa=a,baaab=a infinite ac/b ab=c frequency:2/2 abc:cc=aa,aaa=a,aac=c,caa=c,ba=aca,bc=a,ab=c,cb=cac [00m16s] from: 6266 ab:aaa=a,baaab=a infinite to: 569 ab:aaa=a,bab=a infinite a=a,b=b,c=c [00m16s] # 6267 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:5us [00m16s] 6267 ab:aaa=a,baaab=b infinite ab - - ab:aaa=a,bab=b [00m16s] from: 6267 ab:aaa=a,baaab=b infinite to: 570 ab:aaa=a,bab=b infinite a=a,b=b [00m16s] # 6268 solved: rounds:3,rules:4,peak:12,longest:6,steps:4,word:0,work:2083,nodes:32,pairs:21,completionMax:128us [00m16s] 6268 ab:aaa=a,baabb=a infinite ba - - ab:abb=bba,aba=baa,aaa=a,bbba=aa [00m16s] # 6269 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 6269 ab:aaa=a,baabb=b infinite ab - - ab:aaa=a,baabb=b [00m16s] # 6270 solved: rounds:3,rules:8,peak:12,longest:5,steps:5,word:1,work:425,nodes:36,pairs:23,completionMax:59us [00m16s] 6270 ab:aaa=a,babab=a infinite ac/b ab=c frequency:2/2 abc:aaa=a,aac=c,caa=c,ccc=aa,ba=aca,bc=acc,ab=c,cb=cac [00m16s] # 6271 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 6271 ab:aaa=a,babab=b infinite ab - - ab:aaa=a,babab=b [00m16s] # 6272 solved: rounds:5,rules:3,peak:20,longest:28,steps:37,word:60,work:54886,nodes:100,pairs:148,completionMax:1669us [00m16s] 6272 ab:aaa=a,babbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbbbbbbb,aaa=a [00m16s] # 6273 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 6273 ab:aaa=a,babbb=b infinite ab - - ab:aaa=a,babbb=b [00m16s] # 6274 solved: rounds:3,rules:10,peak:16,longest:6,steps:8,word:4,work:2587,nodes:63,pairs:67,completionMax:229us [00m16s] 6274 ab:aaa=a,bbabb=a infinite ac/b ab=c frequency:2/2 abc:aaa=a,aac=c,ab=c,cbaa=cb,ccb=acbca,cacb=cbacaa,bba=acba,bbc=acbc,cbb=cbac,cbcb=aa [00m16s] # 6275 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:177,nodes:18,pairs:5,completionMax:15us [00m16s] 6275 ab:aaa=a,bbabb=b infinite ab - - ab:aaa=a,bbab=babb,babbb=b [00m16s] # 6276 solved: rounds:1,rules:2,peak:2,longest:15,steps:3,word:12,work:269,nodes:30,pairs:3,completionMax:18us [00m16s] 6276 ab:aaa=a,bbbbb=a finite:15;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b5,a=b5;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbb,bbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbbbbb=bbbbb,a=bbbbb [00m16s] # 6277 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [00m16s] 6277 ab:aaa=a,bbbbb=b infinite ab - - ab:aaa=a,bbbbb=b [00m16s] # 6278 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:2us [00m16s] 6278 ab:aaa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6278 ab:aaa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6279 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:41,nodes:10,pairs:0,completionMax:3us [00m16s] 6279 ab:aaa=b,aaaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [00m16s] from: 6279 ab:aaa=b,aaaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [00m16s] # 6280 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:19,nodes:14,pairs:0,completionMax:3us [00m16s] 6280 ab:aaa=b,aaaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaa [00m16s] from: 6280 ab:aaa=b,aaaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaa [00m16s] # 6281 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:48,nodes:14,pairs:0,completionMax:5us [00m16s] 6281 ab:aaa=b,aaaab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m16s] from: 6281 ab:aaa=b,aaaab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [00m16s] # 6282 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:18,nodes:14,pairs:0,completionMax:4us [00m16s] 6282 ab:aaa=b,aaaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaa [00m16s] from: 6282 ab:aaa=b,aaaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaa [00m16s] # 6283 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:47,nodes:14,pairs:0,completionMax:4us [00m16s] 6283 ab:aaa=b,aaaba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m16s] from: 6283 ab:aaa=b,aaaba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [00m16s] # 6284 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:29,nodes:18,pairs:0,completionMax:8us [00m16s] 6284 ab:aaa=b,aaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6284 ab:aaa=b,aaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6285 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:66,nodes:18,pairs:0,completionMax:8us [00m16s] 6285 ab:aaa=b,aaabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6285 ab:aaa=b,aaabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6286 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:17,nodes:14,pairs:0,completionMax:5us [00m16s] 6286 ab:aaa=b,aabaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaa=a,b=aaa [00m16s] from: 6286 ab:aaa=b,aabaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaa [00m16s] # 6287 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:46,nodes:14,pairs:0,completionMax:6us [00m16s] 6287 ab:aaa=b,aabaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [00m16s] from: 6287 ab:aaa=b,aabaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [00m16s] # 6288 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:28,nodes:18,pairs:0,completionMax:6us [00m16s] 6288 ab:aaa=b,aabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6288 ab:aaa=b,aabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6289 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:65,nodes:18,pairs:0,completionMax:5us [00m16s] 6289 ab:aaa=b,aabab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6289 ab:aaa=b,aabab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6290 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:27,nodes:18,pairs:0,completionMax:6us [00m16s] 6290 ab:aaa=b,aabba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6290 ab:aaa=b,aabba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6291 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:64,nodes:18,pairs:0,completionMax:6us [00m16s] 6291 ab:aaa=b,aabba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6291 ab:aaa=b,aabba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6292 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:40,nodes:22,pairs:0,completionMax:7us [00m16s] 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] # 6293 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:85,nodes:22,pairs:0,completionMax:7us [00m16s] 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] # 6294 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:27,nodes:18,pairs:0,completionMax:5us [00m16s] 6294 ab:aaa=b,abaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6294 ab:aaa=b,abaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6295 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:64,nodes:18,pairs:0,completionMax:6us [00m16s] 6295 ab:aaa=b,abaab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6295 ab:aaa=b,abaab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6296 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:26,nodes:18,pairs:0,completionMax:5us [00m16s] 6296 ab:aaa=b,ababa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6296 ab:aaa=b,ababa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6297 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:63,nodes:18,pairs:0,completionMax:7us [00m16s] 6297 ab:aaa=b,ababa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6297 ab:aaa=b,ababa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6298 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:39,nodes:22,pairs:0,completionMax:10us [00m16s] 6298 ab:aaa=b,ababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] from: 6298 ab:aaa=b,ababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbbbb,b=b [00m16s] # 6299 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:84,nodes:22,pairs:0,completionMax:7us [00m16s] 6299 ab:aaa=b,ababb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6299 ab:aaa=b,ababb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aaa [00m16s] # 6300 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:38,nodes:22,pairs:0,completionMax:6us [00m16s] 6300 ab:aaa=b,abbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] from: 6300 ab:aaa=b,abbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbbbb,b=b [00m16s] # 6301 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:83,nodes:22,pairs:0,completionMax:6us [00m16s] 6301 ab:aaa=b,abbab=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6301 ab:aaa=b,abbab=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aaa [00m16s] # 6302 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:37,nodes:22,pairs:0,completionMax:9us [00m16s] 6302 ab:aaa=b,abbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] from: 6302 ab:aaa=b,abbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbbbb,b=b [00m16s] # 6303 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:82,nodes:22,pairs:0,completionMax:8us [00m16s] 6303 ab:aaa=b,abbba=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6303 ab:aaa=b,abbba=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aaa [00m16s] # 6304 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:52,nodes:26,pairs:0,completionMax:10us [00m16s] 6304 ab:aaa=b,abbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aaa [00m16s] from: 6304 ab:aaa=b,abbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aaa [00m16s] # 6305 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:105,nodes:26,pairs:0,completionMax:8us [00m16s] 6305 ab:aaa=b,abbbb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaa=aaa,b=aaa [00m16s] # 6306 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:26,nodes:18,pairs:0,completionMax:4us [00m16s] 6306 ab:aaa=b,baaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaa [00m16s] from: 6306 ab:aaa=b,baaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbb,b=b [00m16s] # 6307 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:63,nodes:18,pairs:0,completionMax:5us [00m16s] 6307 ab:aaa=b,baaab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [00m16s] from: 6307 ab:aaa=b,baaab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [00m16s] # 6308 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:38,nodes:22,pairs:0,completionMax:11us [00m16s] 6308 ab:aaa=b,baabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] from: 6308 ab:aaa=b,baabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbbbb,b=b [00m16s] # 6309 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:83,nodes:22,pairs:0,completionMax:7us [00m16s] 6309 ab:aaa=b,baabb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6309 ab:aaa=b,baabb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aaa [00m16s] # 6310 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:37,nodes:22,pairs:0,completionMax:6us [00m16s] 6310 ab:aaa=b,babab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaa [00m16s] from: 6310 ab:aaa=b,babab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbbbb,b=b [00m16s] # 6311 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:82,nodes:22,pairs:0,completionMax:7us [00m16s] 6311 ab:aaa=b,babab=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6311 ab:aaa=b,babab=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aaa [00m16s] # 6312 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:51,nodes:26,pairs:0,completionMax:16us [00m16s] 6312 ab:aaa=b,babbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aaa [00m16s] from: 6312 ab:aaa=b,babbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aaa [00m16s] # 6313 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:104,nodes:26,pairs:0,completionMax:11us [00m16s] 6313 ab:aaa=b,babbb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6313 ab:aaa=b,babbb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 to: 6305 ab:aaa=b,abbbb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 a=a,b=aaa [00m16s] # 6314 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:50,nodes:26,pairs:0,completionMax:11us [00m16s] 6314 ab:aaa=b,bbabb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aaa [00m16s] from: 6314 ab:aaa=b,bbabb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aaa [00m16s] # 6315 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:103,nodes:26,pairs:0,completionMax:7us [00m16s] 6315 ab:aaa=b,bbabb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaa=aaa,b=aaa [00m16s] from: 6315 ab:aaa=b,bbabb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 to: 6305 ab:aaa=b,abbbb=b finite:13;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a3,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:10 a=a,b=aaa [00m16s] # 6316 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:65,nodes:30,pairs:0,completionMax:13us [00m16s] 6316 ab:aaa=b,bbbbb=a finite:15;idempotents:1,aaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=b,a=b5;saturation:a:a14=1;noncancellative:bbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:14 a/b - - ab:aaaaaaaaaaaaaaa=a,b=aaa [00m16s] # 6317 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:126,nodes:30,pairs:0,completionMax:10us [00m16s] 6317 ab:aaa=b,bbbbb=b finite:15;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a3,b=a3;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaa,aaaa;smith:12 a/b - - ab:aaaaaaaaaaaaaaa=aaa,b=aaa [00m16s] # 6318 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:30,nodes:10,pairs:1,completionMax:20us [00m16s] 6318 ab:aab=a,aaaaa=a infinite a/b - - ab:aaaaa=a,ab=aaaa [00m16s] # 6319 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:6us [00m16s] 6319 ab:aab=a,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=b,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaa [00m16s] from: 6319 ab:aab=a,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=b,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaaa,b=a [00m16s] # 6320 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:6,pairs:1,completionMax:4us [00m16s] 6320 ab:aab=a,aaaab=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6320 ab:aab=a,aaaab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6321 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:1,completionMax:4us [00m16s] 6321 ab:aab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6321 ab:aab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6322 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:6,pairs:1,completionMax:4us [00m16s] 6322 ab:aab=a,aaaba=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6322 ab:aab=a,aaaba=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6323 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:4us [00m16s] 6323 ab:aab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6323 ab:aab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6324 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [00m16s] 6324 ab:aab=a,aaabb=a infinite ab - - ab:aab=a [00m16s] # 6325 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:3us [00m16s] 6325 ab:aab=a,aaabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6325 ab:aab=a,aaabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6326 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:3us [00m16s] 6326 ab:aab=a,aabaa=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6326 ab:aab=a,aabaa=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6327 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:1,completionMax:3us [00m16s] 6327 ab:aab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6327 ab:aab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6328 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:0us [00m16s] 6328 ab:aab=a,aabab=a infinite ab - - ab:aab=a [00m16s] from: 6328 ab:aab=a,aabab=a infinite to: 6324 ab:aab=a,aaabb=a infinite a=a,b=b [00m16s] # 6329 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:5us [00m16s] 6329 ab:aab=a,aabab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6329 ab:aab=a,aabab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6330 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [00m16s] 6330 ab:aab=a,aabba=a infinite ab - - ab:aab=a,aba=a [00m16s] from: 6330 ab:aab=a,aabba=a infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [00m16s] # 6331 solved: rounds:2,rules:2,peak:5,longest:3,steps:4,word:0,work:166,nodes:14,pairs:14,completionMax:24us [00m16s] 6331 ab:aab=a,aabba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6331 ab:aab=a,aabba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6332 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:6us [00m16s] 6332 ab:aab=a,aabbb=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6332 ab:aab=a,aabbb=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6333 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:3,nodes:8,pairs:0,completionMax:2us [00m16s] 6333 ab:aab=a,aabbb=b infinite ab - - ab:aab=a,abb=b [00m16s] from: 6333 ab:aab=a,aabbb=b infinite to: 585 ab:aab=a,abb=b infinite a=a,b=b [00m16s] # 6334 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:317,nodes:14,pairs:14,completionMax:40us [00m16s] 6334 ab:aab=a,abaaa=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6334 ab:aab=a,abaaa=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6335 solved: rounds:2,rules:2,peak:6,longest:9,steps:2,word:4,work:633,nodes:32,pairs:20,completionMax:81us [00m16s] 6335 ab:aab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6335 ab:aab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6336 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:5us [00m16s] 6336 ab:aab=a,abaab=a infinite ab - - ab:aab=a,aba=a [00m16s] from: 6336 ab:aab=a,abaab=a infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [00m16s] # 6337 solved: rounds:2,rules:2,peak:5,longest:3,steps:4,word:0,work:168,nodes:14,pairs:14,completionMax:26us [00m16s] 6337 ab:aab=a,abaab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6337 ab:aab=a,abaab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6338 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:5us [00m16s] 6338 ab:aab=a,ababa=a infinite ab - - ab:aab=a,ababa=a [00m16s] # 6339 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:274,nodes:18,pairs:14,completionMax:39us [00m16s] 6339 ab:aab=a,ababa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6339 ab:aab=a,ababa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6340 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:32,nodes:12,pairs:3,completionMax:9us [00m16s] 6340 ab:aab=a,ababb=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6340 ab:aab=a,ababb=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6341 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:12,pairs:0,completionMax:2us [00m16s] 6341 ab:aab=a,ababb=b infinite ab - - ab:aab=a,ababb=b [00m16s] # 6342 solved: rounds:2,rules:5,peak:6,longest:5,steps:3,word:0,work:123,nodes:18,pairs:9,completionMax:24us [00m16s] 6342 ab:aab=a,abbaa=a infinite acb abb=c frequency:3/1 abc:ab=ac,ca=ac,cb=cc,aac=a,acc=c [00m16s] # 6343 solved: rounds:3,rules:2,peak:12,longest:5,steps:4,word:0,work:1029,nodes:24,pairs:39,completionMax:131us [00m16s] 6343 ab:aab=a,abbaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6343 ab:aab=a,abbaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6344 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:225,nodes:14,pairs:15,completionMax:39us [00m16s] 6344 ab:aab=a,abbab=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6344 ab:aab=a,abbab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6345 solved: rounds:2,rules:3,peak:5,longest:5,steps:2,word:0,work:196,nodes:20,pairs:8,completionMax:27us [00m16s] 6345 ab:aab=a,abbab=b infinite ab - - ab:aab=a,abb=b,bab=b [00m16s] # 6346 solved: rounds:5,rules:2,peak:6,longest:5,steps:4,word:0,work:361,nodes:14,pairs:9,completionMax:64us [00m16s] 6346 ab:aab=a,abbba=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6346 ab:aab=a,abbba=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6347 solved: rounds:3,rules:3,peak:8,longest:5,steps:2,word:0,work:332,nodes:22,pairs:16,completionMax:59us [00m16s] 6347 ab:aab=a,abbba=b infinite;commutative:ab:ab2=b,a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a,abb=b [00m16s] # 6348 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:2,work:29,nodes:12,pairs:4,completionMax:16us [00m16s] 6348 ab:aab=a,abbbb=a infinite a/b - - ab:aaaaa=a,ab=aaaa [00m16s] from: 6348 ab:aab=a,abbbb=a infinite to: 6318 ab:aab=a,aaaaa=a infinite a=a,b=b [00m16s] # 6349 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:43,nodes:12,pairs:5,completionMax:16us [00m16s] 6349 ab:aab=a,abbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6349 ab:aab=a,abbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6350 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:358,nodes:18,pairs:18,completionMax:53us [00m16s] 6350 ab:aab=a,baaaa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 6350 ab:aab=a,baaaa=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 6351 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:2,work:146,nodes:18,pairs:5,completionMax:29us [00m16s] 6351 ab:aab=a,baaaa=b finite:9;idempotents:1,ba,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=aaaa,bb=baaa [00m16s] # 6352 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:30,nodes:10,pairs:1,completionMax:5us [00m16s] 6352 ab:aab=a,baaab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m16s] from: 6352 ab:aab=a,baaab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 6353 solved: rounds:2,rules:4,peak:6,longest:3,steps:2,word:0,work:115,nodes:10,pairs:5,completionMax:25us [00m16s] 6353 ab:aab=a,baaab=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6353 ab:aab=a,baaab=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6354 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:29,nodes:10,pairs:1,completionMax:7us [00m16s] 6354 ab:aab=a,baaba=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m16s] from: 6354 ab:aab=a,baaba=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 6355 solved: rounds:2,rules:4,peak:6,longest:3,steps:2,word:0,work:114,nodes:10,pairs:5,completionMax:22us [00m16s] 6355 ab:aab=a,baaba=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6355 ab:aab=a,baaba=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6356 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:122,nodes:10,pairs:5,completionMax:18us [00m16s] 6356 ab:aab=a,baabb=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 6356 ab:aab=a,baabb=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 6357 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [00m16s] 6357 ab:aab=a,baabb=b infinite ab - - ab:aab=a,bab=b [00m16s] from: 6357 ab:aab=a,baabb=b infinite to: 589 ab:aab=a,bab=b infinite a=a,b=b [00m16s] # 6358 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:181,nodes:16,pairs:10,completionMax:30us [00m16s] 6358 ab:aab=a,babaa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m16s] from: 6358 ab:aab=a,babaa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 6359 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:156,nodes:14,pairs:8,completionMax:25us [00m16s] 6359 ab:aab=a,babaa=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6359 ab:aab=a,babaa=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6360 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:182,nodes:14,pairs:6,completionMax:22us [00m16s] 6360 ab:aab=a,babab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 6360 ab:aab=a,babab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 6361 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:19,nodes:14,pairs:0,completionMax:4us [00m16s] 6361 ab:aab=a,babab=b infinite ab - - ab:aab=a,babab=b [00m16s] # 6362 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:921,nodes:24,pairs:15,completionMax:76us [00m16s] 6362 ab:aab=a,babba=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 6362 ab:aab=a,babba=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 6363 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:116,nodes:20,pairs:7,completionMax:25us [00m16s] 6363 ab:aab=a,babba=b infinite ab - - ab:aab=a,aba=a,bab=b,bba=b [00m16s] from: 6363 ab:aab=a,babba=b infinite to: 591 ab:aab=a,bba=b infinite a=a,b=b [00m16s] # 6364 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:2,work:269,nodes:20,pairs:11,completionMax:67us [00m16s] 6364 ab:aab=a,babbb=a infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaa=a,ba=aaaa,ab=aaaa [00m16s] # 6365 solved: rounds:3,rules:4,peak:4,longest:5,steps:3,word:0,work:123,nodes:16,pairs:10,completionMax:29us [00m16s] 6365 ab:aab=a,babbb=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6365 ab:aab=a,babbb=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6366 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:196,nodes:20,pairs:8,completionMax:23us [00m16s] 6366 ab:aab=a,bbaaa=a infinite ab - - ab:aab=a,aba=a,bba=abb [00m16s] from: 6366 ab:aab=a,bbaaa=a infinite to: 4175 ab:baa=aab,bba=b infinite a=b,b=a [00m16s] # 6367 solved: rounds:3,rules:4,peak:10,longest:5,steps:3,word:0,work:828,nodes:24,pairs:31,completionMax:107us [00m16s] 6367 ab:aab=a,bbaaa=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6367 ab:aab=a,bbaaa=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6368 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:184,nodes:14,pairs:5,completionMax:32us [00m16s] 6368 ab:aab=a,bbaab=a infinite ab - - ab:ab=aa,aaa=a,bba=a [00m16s] from: 6368 ab:aab=a,bbaab=a infinite to: 590 ab:aab=a,bba=a infinite a=a,b=b [00m16s] # 6369 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:47,nodes:14,pairs:2,completionMax:8us [00m16s] 6369 ab:aab=a,bbaab=b infinite ab - - ab:aab=a,aba=a,bab=b,bba=b [00m16s] from: 6369 ab:aab=a,bbaab=b infinite to: 591 ab:aab=a,bba=b infinite a=a,b=b [00m16s] # 6370 solved: rounds:4,rules:3,peak:10,longest:5,steps:4,word:0,work:940,nodes:26,pairs:18,completionMax:90us [00m16s] 6370 ab:aab=a,bbaba=a infinite ab - - ab:ab=aa,aaa=a,bba=a [00m16s] from: 6370 ab:aab=a,bbaba=a infinite to: 590 ab:aab=a,bba=a infinite a=a,b=b [00m16s] # 6371 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:83,nodes:18,pairs:5,completionMax:16us [00m16s] 6371 ab:aab=a,bbaba=b infinite ab - - ab:aab=a,aba=a,bab=b,bba=b [00m16s] from: 6371 ab:aab=a,bbaba=b infinite to: 591 ab:aab=a,bba=b infinite a=a,b=b [00m16s] # 6372 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:2,work:652,nodes:24,pairs:21,completionMax:68us [00m16s] 6372 ab:aab=a,bbabb=a infinite a/b - - ab:aaaaa=a,ab=aaaa,bba=aaa [00m16s] from: 6372 ab:aab=a,bbabb=a infinite to: 4150 ab:abb=aaa,baa=a infinite anti:a=a,b=b [00m16s] # 6373 solved: rounds:3,rules:4,peak:7,longest:5,steps:4,word:0,work:507,nodes:20,pairs:19,completionMax:59us [00m16s] 6373 ab:aab=a,bbabb=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6373 ab:aab=a,bbabb=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6374 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:469,nodes:20,pairs:16,completionMax:41us [00m16s] 6374 ab:aab=a,bbbaa=a infinite ab - - ab:ab=aa,aaa=a,bbba=aa [00m16s] # 6375 solved: rounds:3,rules:4,peak:6,longest:5,steps:2,word:0,work:217,nodes:22,pairs:12,completionMax:44us [00m16s] 6375 ab:aab=a,bbbaa=b infinite ab - - ab:aab=a,aba=a,bab=b,bba=b [00m16s] from: 6375 ab:aab=a,bbbaa=b infinite to: 591 ab:aab=a,bba=b infinite a=a,b=b [00m16s] # 6376 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:2,work:604,nodes:26,pairs:26,completionMax:83us [00m16s] 6376 ab:aab=a,bbbab=a infinite a/b - - ab:aaaaa=a,ab=aaaa,bbba=aa [00m16s] # 6377 solved: rounds:4,rules:4,peak:9,longest:5,steps:5,word:0,work:1074,nodes:26,pairs:43,completionMax:124us [00m16s] 6377 ab:aab=a,bbbab=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6377 ab:aab=a,bbbab=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6378 solved: rounds:5,rules:3,peak:7,longest:6,steps:4,word:2,work:591,nodes:26,pairs:14,completionMax:89us [00m16s] 6378 ab:aab=a,bbbba=a infinite a/b - - ab:aaaaa=a,ab=aaaa,bbbba=a [00m16s] # 6379 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:0,work:846,nodes:22,pairs:28,completionMax:115us [00m16s] 6379 ab:aab=a,bbbba=b finite:5;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a,baa=b [00m16s] from: 6379 ab:aab=a,bbbba=b finite:5;idempotents:1,aa,ba to: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba a=a,b=b [00m16s] # 6380 solved: rounds:1,rules:2,peak:2,longest:11,steps:1,word:4,work:130,nodes:22,pairs:2,completionMax:13us [00m16s] 6380 ab:aab=a,bbbbb=a finite:11;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b5,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 b/a - - ab:bbbbbbbbbbb=bbbbb,a=bbbbb [00m16s] # 6381 solved: rounds:5,rules:3,peak:4,longest:5,steps:4,word:2,work:105,nodes:20,pairs:5,completionMax:27us [00m16s] 6381 ab:aab=a,bbbbb=b finite:25;idempotents:1,ba,aaaa,bbaa,bbbb,bbbaaa,bbbbaaaa a/b - - ab:aaaaa=a,ab=aaaa,bbbbb=b [00m16s] # 6382 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:6us [00m16s] 6382 ab:aab=b,aaaaa=a infinite ab - - ab:aab=b,aaaaa=a [00m16s] # 6383 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:4,work:127,nodes:14,pairs:1,completionMax:9us [00m16s] 6383 ab:aab=b,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaaaa,aaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aaaaa [00m16s] from: 6383 ab:aab=b,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaaaa,aaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbb [00m16s] # 6384 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:1,completionMax:6us [00m16s] 6384 ab:aab=b,aaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6384 ab:aab=b,aaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6385 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [00m16s] 6385 ab:aab=b,aaaab=b infinite ab - - ab:aab=b [00m16s] # 6386 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:106,nodes:10,pairs:6,completionMax:28us [00m16s] 6386 ab:aab=b,aaaba=a finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6386 ab:aab=b,aaaba=a finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6387 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:32,nodes:10,pairs:3,completionMax:6us [00m16s] 6387 ab:aab=b,aaaba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [00m16s] from: 6387 ab:aab=b,aaaba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m16s] # 6388 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:49,nodes:10,pairs:5,completionMax:11us [00m16s] 6388 ab:aab=b,aaabb=a infinite ab - - ab:bb=aa,aaa=a,aab=b,baa=b [00m16s] from: 6388 ab:aab=b,aaabb=a infinite to: 594 ab:aab=b,abb=a infinite a=a,b=b [00m16s] # 6389 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:3,completionMax:9us [00m16s] 6389 ab:aab=b,aaabb=b infinite ba - - ab:ab=bb,bbb=b [00m16s] from: 6389 ab:aab=b,aaabb=b infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [00m16s] # 6390 solved: rounds:2,rules:4,peak:6,longest:3,steps:2,word:0,work:117,nodes:10,pairs:5,completionMax:22us [00m16s] 6390 ab:aab=b,aabaa=a finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6390 ab:aab=b,aabaa=a finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6391 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [00m16s] 6391 ab:aab=b,aabaa=b infinite ab - - ab:aab=b,baa=b [00m16s] from: 6391 ab:aab=b,aabaa=b infinite to: 595 ab:aab=b,baa=b infinite a=a,b=b [00m16s] # 6392 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:45,nodes:10,pairs:2,completionMax:8us [00m16s] 6392 ab:aab=b,aabab=a infinite ab - - ab:aaa=a,aab=b,baa=b,bab=a [00m16s] from: 6392 ab:aab=b,aabab=a infinite to: 596 ab:aab=b,bab=a infinite a=a,b=b [00m16s] # 6393 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:1us [00m16s] 6393 ab:aab=b,aabab=b infinite ab - - ab:aab=b,bab=b [00m16s] from: 6393 ab:aab=b,aabab=b infinite to: 597 ab:aab=b,bab=b infinite a=a,b=b [00m16s] # 6394 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:45,nodes:10,pairs:2,completionMax:7us [00m16s] 6394 ab:aab=b,aabba=a infinite ab - - ab:aaa=a,aab=b,bba=a,bbb=b [00m16s] from: 6394 ab:aab=b,aabba=a infinite to: 598 ab:aab=b,bba=a infinite a=a,b=b [00m16s] # 6395 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:182,nodes:14,pairs:5,completionMax:27us [00m16s] 6395 ab:aab=b,aabba=b infinite ba - - ab:ba=bb,bbb=b,aab=b [00m16s] from: 6395 ab:aab=b,aabba=b infinite to: 590 ab:aab=a,bba=a infinite a=b,b=a [00m16s] # 6396 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:29,nodes:14,pairs:2,completionMax:8us [00m16s] 6396 ab:aab=b,aabbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6396 ab:aab=b,aabbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6397 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [00m16s] 6397 ab:aab=b,aabbb=b infinite ab - - ab:aab=b,bbb=b [00m16s] # 6398 solved: rounds:3,rules:4,peak:8,longest:5,steps:2,word:0,work:370,nodes:18,pairs:17,completionMax:46us [00m16s] 6398 ab:aab=b,abaaa=a finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6398 ab:aab=b,abaaa=a finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6399 solved: rounds:2,rules:2,peak:3,longest:7,steps:8,word:2,work:141,nodes:16,pairs:7,completionMax:14us [00m16s] 6399 ab:aab=b,abaaa=b infinite a/b - - ab:baaaaaa=b,ab=baaa [00m16s] # 6400 solved: rounds:2,rules:4,peak:4,longest:3,steps:1,word:0,work:50,nodes:10,pairs:5,completionMax:11us [00m16s] 6400 ab:aab=b,abaab=a infinite ab - - ab:bb=aa,aaa=a,aab=b,baa=b [00m16s] from: 6400 ab:aab=b,abaab=a infinite to: 594 ab:aab=b,abb=a infinite a=a,b=b [00m16s] # 6401 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:8,pairs:3,completionMax:5us [00m16s] 6401 ab:aab=b,abaab=b infinite ba - - ab:ab=bb,bbb=b [00m16s] from: 6401 ab:aab=b,abaab=b infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [00m16s] # 6402 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:162,nodes:18,pairs:8,completionMax:20us [00m16s] 6402 ab:aab=b,ababa=a infinite ab - - ab:aaa=a,aab=b,baba=aa,babb=ab [00m16s] # 6403 solved: rounds:4,rules:5,peak:7,longest:5,steps:4,word:0,work:745,nodes:22,pairs:19,completionMax:55us [00m16s] 6403 ab:aab=b,ababa=b infinite ab - - ab:aab=b,baa=b,bab=aba,bba=abb,bbb=b [00m16s] # 6404 solved: rounds:4,rules:2,peak:6,longest:11,steps:3,word:6,work:541,nodes:36,pairs:15,completionMax:60us [00m16s] 6404 ab:aab=b,ababb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6404 ab:aab=b,ababb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6405 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:72,nodes:18,pairs:3,completionMax:10us [00m16s] 6405 ab:aab=b,ababb=b infinite ab - - ab:aab=b,babb=ab,babab=b [00m16s] # 6406 solved: rounds:3,rules:4,peak:8,longest:5,steps:2,word:0,work:444,nodes:18,pairs:18,completionMax:40us [00m16s] 6406 ab:aab=b,abbaa=a infinite ab - - ab:aaa=a,aab=b,bba=a,bbb=b [00m16s] from: 6406 ab:aab=b,abbaa=a infinite to: 598 ab:aab=b,bba=a infinite a=a,b=b [00m16s] # 6407 solved: rounds:4,rules:3,peak:7,longest:5,steps:2,word:0,work:735,nodes:20,pairs:38,completionMax:58us [00m16s] 6407 ab:aab=b,abbaa=b infinite ba - - ab:ab=bb,bbb=b,baa=b [00m16s] from: 6407 ab:aab=b,abbaa=b infinite to: 4164 ab:abb=aba,baa=a infinite a=b,b=a [00m16s] # 6408 solved: rounds:4,rules:2,peak:9,longest:12,steps:11,word:4,work:3017,nodes:40,pairs:38,completionMax:135us [00m16s] 6408 ab:aab=b,abbab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6408 ab:aab=b,abbab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6409 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:115,nodes:18,pairs:6,completionMax:13us [00m16s] 6409 ab:aab=b,abbab=b infinite ab - - ab:aab=b,bbb=b,bbab=ab [00m16s] # 6410 solved: rounds:2,rules:4,peak:6,longest:7,steps:2,word:2,work:268,nodes:22,pairs:7,completionMax:26us [00m16s] 6410 ab:aab=b,abbba=a finite:13;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,bbbbbba=a,aa=bbba [00m16s] # 6411 solved: rounds:5,rules:3,peak:7,longest:10,steps:11,word:6,work:1486,nodes:42,pairs:13,completionMax:88us [00m16s] 6411 ab:aab=b,abbba=b infinite b/a - - ab:bbbbbbbbb=b,ba=abbb,aab=b [00m16s] # 6412 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:71,nodes:18,pairs:9,completionMax:20us [00m16s] 6412 ab:aab=b,abbbb=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbbb=aa [00m16s] # 6413 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:2,work:32,nodes:16,pairs:3,completionMax:11us [00m16s] 6413 ab:aab=b,abbbb=b infinite b/a - - ab:bbbbbbb=b,ab=bbbb [00m16s] # 6414 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:150,nodes:14,pairs:8,completionMax:16us [00m16s] 6414 ab:aab=b,baaaa=a finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6414 ab:aab=b,baaaa=a finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6415 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [00m16s] 6415 ab:aab=b,baaaa=b infinite ab - - ab:aab=b,baaaa=b [00m16s] # 6416 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:47,nodes:10,pairs:2,completionMax:6us [00m16s] 6416 ab:aab=b,baaab=a infinite ab - - ab:aaa=a,aab=b,baa=b,bab=a [00m16s] from: 6416 ab:aab=b,baaab=a infinite to: 596 ab:aab=b,bab=a infinite a=a,b=b [00m16s] # 6417 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:4us [00m16s] 6417 ab:aab=b,baaab=b infinite ab - - ab:aab=b,bab=b [00m16s] from: 6417 ab:aab=b,baaab=b infinite to: 597 ab:aab=b,bab=b infinite a=a,b=b [00m16s] # 6418 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:46,nodes:10,pairs:2,completionMax:9us [00m16s] 6418 ab:aab=b,baaba=a infinite ab - - ab:aaa=a,aab=b,bba=a,bbb=b [00m16s] from: 6418 ab:aab=b,baaba=a infinite to: 598 ab:aab=b,bba=a infinite a=a,b=b [00m16s] # 6419 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:183,nodes:14,pairs:5,completionMax:33us [00m16s] 6419 ab:aab=b,baaba=b infinite ba - - ab:ba=bb,bbb=b,aab=b [00m16s] from: 6419 ab:aab=b,baaba=b infinite to: 590 ab:aab=a,bba=a infinite a=b,b=a [00m16s] # 6420 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:30,nodes:14,pairs:2,completionMax:8us [00m16s] 6420 ab:aab=b,baabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6420 ab:aab=b,baabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6421 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [00m16s] 6421 ab:aab=b,baabb=b infinite ab - - ab:aab=b,bbb=b [00m16s] from: 6421 ab:aab=b,baabb=b infinite to: 6397 ab:aab=b,aabbb=b infinite a=a,b=b [00m16s] # 6422 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:186,nodes:14,pairs:5,completionMax:40us [00m16s] 6422 ab:aab=b,babaa=a infinite ab - - ab:aaa=a,aab=b,baba=aa,babb=ab [00m16s] from: 6422 ab:aab=b,babaa=a infinite to: 6402 ab:aab=b,ababa=a infinite a=a,b=b [00m16s] # 6423 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:210,nodes:14,pairs:6,completionMax:37us [00m16s] 6423 ab:aab=b,babaa=b infinite ab - - ab:aab=b,baa=b,bab=b [00m16s] # 6424 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:48,nodes:14,pairs:3,completionMax:18us [00m16s] 6424 ab:aab=b,babab=a infinite ab - - ab:aaa=a,aab=b,baa=b,babab=a [00m16s] # 6425 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:5us [00m16s] 6425 ab:aab=b,babab=b infinite ab - - ab:aab=b,babab=b [00m16s] # 6426 solved: rounds:4,rules:4,peak:8,longest:10,steps:8,word:4,work:1914,nodes:30,pairs:36,completionMax:158us [00m16s] 6426 ab:aab=b,babba=a finite:13;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,bbbbbba=a,aa=bbba [00m16s] from: 6426 ab:aab=b,babba=a finite:13;idempotents:1,bbba,bbbbbb to: 6410 ab:aab=b,abbba=a finite:13;idempotents:1,bbba,bbbbbb a=a,b=b [00m16s] # 6427 solved: rounds:4,rules:4,peak:6,longest:6,steps:3,word:0,work:541,nodes:22,pairs:20,completionMax:81us [00m16s] 6427 ab:aab=b,babba=b infinite ab - - ab:aab=b,baa=b,bbb=b,babb=ba [00m16s] # 6428 solved: rounds:4,rules:4,peak:8,longest:13,steps:15,word:14,work:2390,nodes:42,pairs:20,completionMax:157us [00m16s] 6428 ab:aab=b,babbb=a finite:17;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,abbbbbbbb=a,ba=abbbbb,aa=bbbbbbbb [00m16s] # 6429 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:1us [00m16s] 6429 ab:aab=b,babbb=b infinite ab - - ab:aab=b,babbb=b [00m16s] # 6430 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:139,nodes:14,pairs:7,completionMax:44us [00m16s] 6430 ab:aab=b,bbaaa=a infinite ab - - ab:aaa=a,aab=b,bba=a,bbb=b [00m16s] from: 6430 ab:aab=b,bbaaa=a infinite to: 598 ab:aab=b,bba=a infinite a=a,b=b [00m16s] # 6431 solved: rounds:4,rules:4,peak:8,longest:6,steps:2,word:0,work:672,nodes:22,pairs:14,completionMax:67us [00m16s] 6431 ab:aab=b,bbaaa=b infinite ab - - ab:aab=b,bab=b,bbb=b,baaa=bb [00m16s] # 6432 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:31,nodes:14,pairs:2,completionMax:11us [00m16s] 6432 ab:aab=b,bbaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6432 ab:aab=b,bbaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6433 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:3us [00m16s] 6433 ab:aab=b,bbaab=b infinite ab - - ab:aab=b,bbb=b [00m16s] from: 6433 ab:aab=b,bbaab=b infinite to: 6397 ab:aab=b,aabbb=b infinite a=a,b=b [00m16s] # 6434 solved: rounds:4,rules:4,peak:9,longest:12,steps:7,word:4,work:2376,nodes:38,pairs:45,completionMax:197us [00m16s] 6434 ab:aab=b,bbaba=a finite:13;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,bbbbbba=a,aa=bbba [00m16s] from: 6434 ab:aab=b,bbaba=a finite:13;idempotents:1,bbba,bbbbbb to: 6410 ab:aab=b,abbba=a finite:13;idempotents:1,bbba,bbbbbb a=a,b=b [00m16s] # 6435 solved: rounds:5,rules:4,peak:9,longest:6,steps:3,word:0,work:1309,nodes:30,pairs:30,completionMax:119us [00m16s] 6435 ab:aab=b,bbaba=b infinite ab - - ab:aab=b,baa=b,bbab=ba,babab=b [00m16s] # 6436 solved: rounds:3,rules:9,peak:13,longest:6,steps:5,word:2,work:660,nodes:36,pairs:17,completionMax:103us [00m16s] 6436 ab:aab=b,bbabb=a infinite ac/b bb=c frequency:2/0 abc:aaa=a,aac=c,caa=c,cac=a,baa=b,cb=bc,aab=b,cab=abaca,bb=c [00m16s] # 6437 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:194,nodes:18,pairs:5,completionMax:28us [00m16s] 6437 ab:aab=b,bbabb=b infinite ab - - ab:aab=b,bbab=babb,babbb=b [00m16s] # 6438 solved: rounds:2,rules:4,peak:6,longest:7,steps:3,word:4,work:272,nodes:20,pairs:8,completionMax:43us [00m16s] 6438 ab:aab=b,bbbaa=a finite:13;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,bbbbbba=a,aa=bbba [00m16s] from: 6438 ab:aab=b,bbbaa=a finite:13;idempotents:1,bbba,bbbbbb to: 6410 ab:aab=b,abbba=a finite:13;idempotents:1,bbba,bbbbbb a=a,b=b [00m16s] # 6439 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:0,work:241,nodes:16,pairs:9,completionMax:37us [00m16s] 6439 ab:aab=b,bbbaa=b infinite ab - - ab:aab=b,baa=b,bbb=b [00m16s] # 6440 solved: rounds:4,rules:4,peak:13,longest:12,steps:23,word:14,work:7229,nodes:54,pairs:67,completionMax:376us [00m16s] 6440 ab:aab=b,bbbab=a finite:17;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,abbbbbbbb=a,ba=abbbbb,aa=bbbbbbbb [00m16s] from: 6440 ab:aab=b,bbbab=a finite:17;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb to: 6428 ab:aab=b,babbb=a finite:17;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb a=a,b=b [00m16s] # 6441 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:3us [00m16s] 6441 ab:aab=b,bbbab=b infinite ab - - ab:aab=b,bbbab=b [00m16s] # 6442 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:56,nodes:14,pairs:2,completionMax:11us [00m16s] 6442 ab:aab=b,bbbba=a infinite ab - - ab:aaa=a,aab=b,bbbba=a,bbbbb=b [00m16s] # 6443 solved: rounds:4,rules:3,peak:6,longest:8,steps:2,word:2,work:375,nodes:22,pairs:8,completionMax:55us [00m16s] 6443 ab:aab=b,bbbba=b infinite b/a - - ab:bbbbbbb=b,ba=bbbb,aab=b [00m16s] # 6444 solved: rounds:1,rules:2,peak:2,longest:11,steps:1,word:4,work:40,nodes:22,pairs:2,completionMax:14us [00m16s] 6444 ab:aab=b,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b,a=b5;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbb,bbbbbb;smith:10 b/a - - ab:bbbbbbbbbbb=b,a=bbbbb [00m16s] from: 6444 ab:aab=b,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b,a=b5;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbb,bbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbb,b=b [00m16s] # 6445 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:4us [00m16s] 6445 ab:aab=b,bbbbb=b infinite ab - - ab:aab=b,bbbbb=b [00m16s] # 6446 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:6us [00m16s] 6446 ab:aba=a,aaaaa=a infinite ab - - ab:aba=a,aaaaa=a [00m16s] # 6447 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:20,nodes:14,pairs:1,completionMax:9us [00m16s] 6447 ab:aba=a,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=b,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaa [00m16s] from: 6447 ab:aba=a,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=b,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaaaa,b=a [00m16s] # 6448 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:176,nodes:12,pairs:5,completionMax:18us [00m16s] 6448 ab:aba=a,aaaab=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6448 ab:aba=a,aaaab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6449 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:2,work:139,nodes:14,pairs:6,completionMax:34us [00m16s] 6449 ab:aba=a,aaaab=b finite:9;idempotents:1,ab,aaaa a/b - - ab:aaaaa=a,ba=aaaa,aaaab=b,bb=aaab [00m16s] # 6450 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:4us [00m16s] 6450 ab:aba=a,aaaba=a infinite ab - - ab:aaa=a,aba=a [00m16s] from: 6450 ab:aba=a,aaaba=a infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [00m16s] # 6451 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:10,pairs:1,completionMax:7us [00m16s] 6451 ab:aba=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6451 ab:aba=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6452 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [00m16s] 6452 ab:aba=a,aaabb=a infinite ab - - ab:aba=a,aaabb=a [00m16s] # 6453 solved: rounds:4,rules:4,peak:5,longest:5,steps:2,word:0,work:102,nodes:12,pairs:7,completionMax:21us [00m16s] 6453 ab:aba=a,aaabb=b finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6453 ab:aba=a,aaabb=b finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6454 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:3us [00m16s] 6454 ab:aba=a,aabaa=a infinite ab - - ab:aaa=a,aba=a [00m16s] from: 6454 ab:aba=a,aabaa=a infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [00m16s] # 6455 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:1,completionMax:6us [00m16s] 6455 ab:aba=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 a/b - - ab:aaaaa=a,b=aaa [00m16s] from: 6455 ab:aba=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:b5=b,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [00m16s] # 6456 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:4us [00m16s] 6456 ab:aba=a,aabab=a infinite ab - - ab:aab=a,aba=a [00m16s] from: 6456 ab:aba=a,aabab=a infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [00m16s] # 6457 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:106,nodes:10,pairs:6,completionMax:22us [00m16s] 6457 ab:aba=a,aabab=b finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6457 ab:aba=a,aabab=b finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6458 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:4us [00m16s] 6458 ab:aba=a,aabba=a infinite ab - - ab:aba=a,aabba=a [00m16s] # 6459 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:145,nodes:16,pairs:8,completionMax:25us [00m16s] 6459 ab:aba=a,aabba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6459 ab:aba=a,aabba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6460 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [00m16s] 6460 ab:aba=a,aabbb=a infinite ab - - ab:aba=a,aabbb=a [00m16s] # 6461 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:8us [00m16s] 6461 ab:aba=a,aabbb=b infinite ab - - ab:aba=a,abb=b [00m16s] # 6462 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [00m16s] 6462 ab:aba=a,abaab=a infinite ab - - ab:aab=a,aba=a [00m16s] from: 6462 ab:aba=a,abaab=a infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [00m16s] # 6463 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:105,nodes:10,pairs:6,completionMax:20us [00m16s] 6463 ab:aba=a,abaab=b finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6463 ab:aba=a,abaab=b finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6464 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:1us [00m16s] 6464 ab:aba=a,ababa=a infinite ab - - ab:aba=a [00m16s] # 6465 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:1,completionMax:4us [00m16s] 6465 ab:aba=a,ababa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6465 ab:aba=a,ababa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6466 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:1us [00m16s] 6466 ab:aba=a,ababb=a infinite ab - - ab:aba=a,abb=a [00m16s] # 6467 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:3us [00m16s] 6467 ab:aba=a,ababb=b infinite ab - - ab:aba=a,abb=b [00m16s] from: 6467 ab:aba=a,ababb=b infinite to: 6461 ab:aba=a,aabbb=b infinite a=a,b=b [00m16s] # 6468 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:209,nodes:10,pairs:11,completionMax:28us [00m16s] 6468 ab:aba=a,abbab=a infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6468 ab:aba=a,abbab=a infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6469 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:94,nodes:16,pairs:5,completionMax:20us [00m16s] 6469 ab:aba=a,abbab=b infinite ab - - ab:aba=a,abb=b,bab=b [00m16s] # 6470 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:4us [00m16s] 6470 ab:aba=a,abbba=a infinite ab - - ab:aba=a,abbba=a [00m16s] # 6471 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:90,nodes:14,pairs:5,completionMax:21us [00m16s] 6471 ab:aba=a,abbba=b infinite;commutative:ab:ab2=b,a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a,abb=b [00m16s] from: 6471 ab:aba=a,abbba=b infinite;commutative:ab:ab2=b,a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 6347 ab:aab=a,abbba=b infinite;commutative:ab:ab2=b,a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 6472 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [00m16s] 6472 ab:aba=a,abbbb=a infinite ab - - ab:aba=a,abbbb=a [00m16s] # 6473 solved: rounds:6,rules:4,peak:5,longest:5,steps:2,word:0,work:155,nodes:12,pairs:11,completionMax:33us [00m16s] 6473 ab:aba=a,abbbb=b finite:5;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a,aab=b [00m16s] from: 6473 ab:aba=a,abbbb=b finite:5;idempotents:1,aa,ab to: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab a=a,b=b [00m16s] # 6474 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:131,nodes:18,pairs:7,completionMax:35us [00m16s] 6474 ab:aba=a,baaab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [00m16s] from: 6474 ab:aba=a,baaab=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [00m16s] # 6475 solved: rounds:2,rules:3,peak:5,longest:5,steps:2,word:0,work:138,nodes:18,pairs:7,completionMax:28us [00m16s] 6475 ab:aba=a,baaab=b infinite ab - - ab:aaa=a,aba=a,bab=b [00m16s] # 6476 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:0,work:211,nodes:18,pairs:9,completionMax:33us [00m16s] 6476 ab:aba=a,baabb=a infinite ab - - ab:ba=aa,aaa=a,abb=a [00m16s] from: 6476 ab:aba=a,baabb=a infinite to: 4164 ab:abb=aba,baa=a infinite a=a,b=b [00m16s] # 6477 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:47,nodes:18,pairs:2,completionMax:8us [00m16s] 6477 ab:aba=a,baabb=b infinite ab - - ab:aba=a,bab=b,aabb=ab [00m16s] # 6478 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:85,nodes:10,pairs:11,completionMax:15us [00m16s] 6478 ab:aba=a,babab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [00m16s] from: 6478 ab:aba=a,babab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [00m16s] # 6479 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [00m16s] 6479 ab:aba=a,babab=b infinite ab - - ab:aba=a,bab=b [00m16s] from: 6479 ab:aba=a,babab=b infinite to: 600 ab:aba=a,bab=b infinite a=a,b=b [00m16s] # 6480 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:4,work:290,nodes:22,pairs:9,completionMax:24us [00m16s] 6480 ab:aba=a,babbb=a infinite a/b - - ab:aaaaa=a,ba=aaaa,abbb=aa [00m16s] from: 6480 ab:aba=a,babbb=a infinite to: 6376 ab:aab=a,bbbab=a infinite anti:a=a,b=b [00m16s] # 6481 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:76,nodes:16,pairs:3,completionMax:19us [00m16s] 6481 ab:aba=a,babbb=b infinite ab - - ab:aba=a,bab=b,bbb=b [00m16s] # 6482 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:115,nodes:14,pairs:5,completionMax:13us [00m16s] 6482 ab:aba=a,bbabb=a infinite ab - - ab:aba=a,bba=abb,abbbb=a [00m16s] # 6483 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:417,nodes:20,pairs:11,completionMax:52us [00m16s] 6483 ab:aba=a,bbabb=b infinite ab - - ab:aba=a,bab=b,bbb=b [00m16s] from: 6483 ab:aba=a,bbabb=b infinite to: 6481 ab:aba=a,babbb=b infinite a=a,b=b [00m16s] # 6484 solved: rounds:1,rules:2,peak:2,longest:11,steps:2,word:8,work:147,nodes:22,pairs:2,completionMax:19us [00m16s] 6484 ab:aba=a,bbbbb=a finite:11;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b5,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 b/a - - ab:bbbbbbbbbbb=bbbbb,a=bbbbb [00m16s] from: 6484 ab:aba=a,bbbbb=a finite:11;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b5,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 6380 ab:aab=a,bbbbb=a finite:11;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b5,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 a=bbbbb,b=b [00m16s] # 6485 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:5us [00m16s] 6485 ab:aba=a,bbbbb=b infinite ab - - ab:aba=a,bbbbb=b [00m16s] # 6486 solved: rounds:2,rules:3,peak:6,longest:5,steps:7,word:4,work:337,nodes:20,pairs:7,completionMax:55us [00m16s] 6486 ab:aba=b,aaaaa=a infinite a/b - - ab:aaaaa=a,baaaa=b,ab=baaa [00m16s] # 6487 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:8,work:184,nodes:14,pairs:2,completionMax:11us [00m16s] 6487 ab:aba=b,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaaaa,aaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aaaaa [00m16s] from: 6487 ab:aba=b,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaaaa,aaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbb [00m16s] # 6488 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:433,nodes:18,pairs:18,completionMax:48us [00m16s] 6488 ab:aba=b,aaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6488 ab:aba=b,aaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6489 solved: rounds:4,rules:2,peak:6,longest:6,steps:7,word:6,work:600,nodes:20,pairs:12,completionMax:61us [00m16s] 6489 ab:aba=b,aaaab=b infinite a/b - - ab:baaaa=b,ab=baaa [00m16s] # 6490 solved: rounds:2,rules:2,peak:5,longest:3,steps:4,word:0,work:168,nodes:14,pairs:14,completionMax:29us [00m16s] 6490 ab:aba=b,aaaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6490 ab:aba=b,aaaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6491 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:33,nodes:10,pairs:3,completionMax:7us [00m16s] 6491 ab:aba=b,aaaba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [00m16s] from: 6491 ab:aba=b,aaaba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m16s] # 6492 solved: rounds:4,rules:4,peak:10,longest:5,steps:5,word:2,work:1354,nodes:24,pairs:42,completionMax:118us [00m16s] 6492 ab:aba=b,aaabb=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=baaa,bb=aa [00m16s] from: 6492 ab:aba=b,aaabb=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa to: 601 ab:aba=b,bab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a=a,b=b [00m16s] # 6493 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:559,nodes:20,pairs:30,completionMax:54us [00m16s] 6493 ab:aba=b,aaabb=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6493 ab:aba=b,aaabb=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6494 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:30,nodes:6,pairs:2,completionMax:5us [00m16s] 6494 ab:aba=b,aabaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 ab - - ab:b=a,aaa=a [00m16s] from: 6494 ab:aba=b,aabaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a=b,b3=b;saturation:a:a2=1;noncancellative:bb,1,bb,bb;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=a [00m16s] # 6495 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:3us [00m16s] 6495 ab:aba=b,aabaa=b infinite ab - - ab:aba=b,bba=abb [00m16s] # 6496 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:46,nodes:10,pairs:2,completionMax:9us [00m16s] 6496 ab:aba=b,aabab=a infinite ab - - ab:aba=b,abb=a,bba=a,bbb=b [00m16s] # 6497 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:122,nodes:10,pairs:5,completionMax:21us [00m16s] 6497 ab:aba=b,aabab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6497 ab:aba=b,aabab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6498 solved: rounds:4,rules:4,peak:10,longest:5,steps:7,word:2,work:1313,nodes:26,pairs:25,completionMax:145us [00m16s] 6498 ab:aba=b,aabba=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=baaa,bb=aa [00m16s] from: 6498 ab:aba=b,aabba=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa to: 601 ab:aba=b,bab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a=a,b=b [00m16s] # 6499 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:985,nodes:24,pairs:37,completionMax:90us [00m16s] 6499 ab:aba=b,aabba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6499 ab:aba=b,aabba=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6500 solved: rounds:3,rules:2,peak:9,longest:8,steps:3,word:4,work:793,nodes:32,pairs:10,completionMax:64us [00m16s] 6500 ab:aba=b,aabbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6500 ab:aba=b,aabbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6501 solved: rounds:4,rules:3,peak:6,longest:5,steps:7,word:4,work:477,nodes:22,pairs:17,completionMax:59us [00m16s] 6501 ab:aba=b,aabbb=b infinite b/a - - ab:bbbbb=b,ba=abbb,aab=bbb [00m16s] from: 6501 ab:aba=b,aabbb=b infinite to: 4152 ab:abb=aaa,bab=a infinite a=b,b=a [00m16s] # 6502 solved: rounds:3,rules:4,peak:6,longest:5,steps:7,word:2,work:255,nodes:18,pairs:8,completionMax:38us [00m16s] 6502 ab:aba=b,abaab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=baaa,bb=aa [00m16s] from: 6502 ab:aba=b,abaab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa to: 601 ab:aba=b,bab=a finite:9;idempotents:1,aaaa;center:1,aa,aaaa a=a,b=b [00m16s] # 6503 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:84,nodes:10,pairs:11,completionMax:25us [00m16s] 6503 ab:aba=b,abaab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6503 ab:aba=b,abaab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6504 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:45,nodes:10,pairs:2,completionMax:10us [00m16s] 6504 ab:aba=b,ababa=a infinite ab - - ab:aba=b,abb=a,bba=a,bbb=b [00m16s] from: 6504 ab:aba=b,ababa=a infinite to: 6496 ab:aba=b,aabab=a infinite a=a,b=b [00m16s] # 6505 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:121,nodes:10,pairs:5,completionMax:22us [00m16s] 6505 ab:aba=b,ababa=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6505 ab:aba=b,ababa=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6506 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:34,nodes:14,pairs:2,completionMax:18us [00m16s] 6506 ab:aba=b,ababb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6506 ab:aba=b,ababb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6507 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:220,nodes:24,pairs:12,completionMax:45us [00m16s] 6507 ab:aba=b,ababb=b infinite bc/a ba=c frequency:2/2 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [00m16s] from: 6507 ab:aba=b,ababb=b infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [00m16s] # 6508 solved: rounds:2,rules:2,peak:7,longest:7,steps:3,word:2,work:373,nodes:30,pairs:15,completionMax:65us [00m16s] 6508 ab:aba=b,abbab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6508 ab:aba=b,abbab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6509 solved: rounds:3,rules:3,peak:4,longest:7,steps:9,word:4,work:461,nodes:28,pairs:14,completionMax:52us [00m16s] 6509 ab:aba=b,abbab=b infinite b/a - - ab:bbbbb=b,ba=abbb,aab=bbb [00m16s] from: 6509 ab:aba=b,abbab=b infinite to: 4152 ab:abb=aaa,bab=a infinite a=b,b=a [00m16s] # 6510 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:2,work:125,nodes:14,pairs:10,completionMax:37us [00m16s] 6510 ab:aba=b,abbba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6510 ab:aba=b,abbba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6511 solved: rounds:3,rules:8,peak:11,longest:5,steps:4,word:1,work:546,nodes:33,pairs:20,completionMax:83us [00m16s] 6511 ab:aba=b,abbba=b infinite bc/a ba=c frequency:2/1 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [00m16s] from: 6511 ab:aba=b,abbba=b infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [00m16s] # 6512 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:101,nodes:18,pairs:2,completionMax:14us [00m16s] 6512 ab:aba=b,abbbb=a infinite ab - - ab:aba=b,bba=abb,abbbb=a,bbbbb=b [00m16s] # 6513 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:2,work:211,nodes:18,pairs:9,completionMax:37us [00m16s] 6513 ab:aba=b,abbbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb [00m16s] # 6514 solved: rounds:4,rules:4,peak:11,longest:15,steps:15,word:14,work:3403,nodes:52,pairs:50,completionMax:309us [00m16s] 6514 ab:aba=b,baaab=a finite:17;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,baaaaaaaa=b,ab=baaaaaaa,bb=aaaa [00m16s] # 6515 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:306,nodes:14,pairs:15,completionMax:42us [00m16s] 6515 ab:aba=b,baaab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [00m16s] from: 6515 ab:aba=b,baaab=b infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [00m16s] # 6516 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:4,work:361,nodes:20,pairs:15,completionMax:63us [00m16s] 6516 ab:aba=b,baabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6516 ab:aba=b,baabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6517 solved: rounds:3,rules:3,peak:7,longest:8,steps:7,word:6,work:840,nodes:20,pairs:29,completionMax:160us [00m16s] 6517 ab:aba=b,baabb=b infinite b/a - - ab:bbbbb=b,ba=abbb,aab=bbb [00m16s] from: 6517 ab:aba=b,baabb=b infinite to: 4152 ab:abb=aaa,bab=a infinite a=b,b=a [00m16s] # 6518 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:35,nodes:14,pairs:2,completionMax:9us [00m16s] 6518 ab:aba=b,babab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbb=b,a=bbb [00m16s] from: 6518 ab:aba=b,babab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aaa,b=a [00m16s] # 6519 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:221,nodes:24,pairs:12,completionMax:45us [00m16s] 6519 ab:aba=b,babab=b infinite bc/a ba=c frequency:2/2 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [00m16s] from: 6519 ab:aba=b,babab=b infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [00m16s] # 6520 solved: rounds:2,rules:4,peak:9,longest:7,steps:10,word:6,work:1439,nodes:32,pairs:16,completionMax:101us [00m16s] 6520 ab:aba=b,babbb=a finite:17;idempotents:1,aaaa;center:1,aa,bb,aaaa,bbaa a/b - - ab:aaaaa=a,baaaa=b,ab=baaa,bbbb=aa [00m16s] # 6521 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:2,work:157,nodes:16,pairs:8,completionMax:35us [00m16s] 6521 ab:aba=b,babbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb [00m16s] from: 6521 ab:aba=b,babbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6513 ab:aba=b,abbbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [00m16s] # 6522 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:148,nodes:18,pairs:5,completionMax:26us [00m16s] 6522 ab:aba=b,bbabb=a infinite ab - - ab:aba=b,bba=abb,abbbb=a,bbbbb=b [00m16s] from: 6522 ab:aba=b,bbabb=a infinite to: 6512 ab:aba=b,abbbb=a infinite a=a,b=b [00m16s] # 6523 solved: rounds:2,rules:3,peak:8,longest:7,steps:5,word:4,work:760,nodes:22,pairs:12,completionMax:69us [00m16s] 6523 ab:aba=b,bbabb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb [00m16s] from: 6523 ab:aba=b,bbabb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6513 ab:aba=b,abbbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [00m16s] # 6524 solved: rounds:1,rules:2,peak:2,longest:11,steps:1,word:4,work:45,nodes:22,pairs:2,completionMax:13us [00m16s] 6524 ab:aba=b,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b,a=b5;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbb,bbbbbb;smith:10 b/a - - ab:bbbbbbbbbbb=b,a=bbbbb [00m16s] from: 6524 ab:aba=b,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b,a=b5;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbb,bbbbbb;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=bbbbb,b=b [00m16s] # 6525 solved: rounds:3,rules:8,peak:9,longest:6,steps:5,word:3,work:472,nodes:30,pairs:12,completionMax:47us [00m16s] 6525 ab:aba=b,bbbbb=b infinite bc/a ba=c frequency:2/2 abc:cc=bb,cbb=bbc,bbbbb=b,bbbbc=c,ab=bbbcb,ac=b,ba=c,ca=bbcbc [00m16s] # 6526 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [00m16s] 6526 ab:aaa=a,aaaa=aa infinite ab - - ab:aaa=a [00m16s] from: 6526 ab:aaa=a,aaaa=aa infinite to: 6238 ab:aaa=a,aaaaa=a infinite a=a,b=1 [00m16s] # 6527 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:3us [00m16s] 6527 ab:aaa=a,aaaa=ab infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6527 ab:aaa=a,aaaa=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6528 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:99,nodes:12,pairs:5,completionMax:19us [00m16s] 6528 ab:aaa=a,aaaa=bb infinite ba - - ab:aa=bb,bba=a,abb=a,bbbb=bb [00m16s] from: 6528 ab:aaa=a,aaaa=bb infinite to: 652 ab:bb=aa,aaa=a infinite a=a,b=b [00m16s] # 6529 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:5us [00m16s] 6529 ab:aaa=a,aaab=aa infinite ab - - ab:ab=aa,aaa=a [00m16s] from: 6529 ab:aaa=a,aaab=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [00m16s] # 6530 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:1us [00m16s] 6530 ab:aaa=a,aaab=ab infinite ab - - ab:aaa=a [00m16s] from: 6530 ab:aaa=a,aaab=ab infinite to: 6238 ab:aaa=a,aaaaa=a infinite a=a,b=1 [00m16s] # 6531 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:8,pairs:0,completionMax:3us [00m16s] 6531 ab:aaa=a,aaab=ba infinite;commutative:ab:a3=a;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaa=a [00m16s] from: 6531 ab:aaa=a,aaab=ba infinite;commutative:ab:a3=a;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 646 ab:ba=ab,aaa=a infinite;commutative:ab:a3=a;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [00m16s] # 6532 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:42,nodes:12,pairs:1,completionMax:9us [00m16s] 6532 ab:aaa=a,aaab=bb finite:12;idempotents:1,aa,bb,bbaa,bbba ba - - ab:ab=bb,aaa=a,bbbb=bb [00m16s] # 6533 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:69,nodes:10,pairs:2,completionMax:11us [00m16s] 6533 ab:aaa=a,aaba=aa infinite ab - - ab:aaa=a,aba=a [00m16s] from: 6533 ab:aaa=a,aaba=aa infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [00m16s] # 6534 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:1,work:113,nodes:12,pairs:6,completionMax:18us [00m16s] 6534 ab:aaa=a,aaba=ab infinite ac/b ab=c frequency:2/0 abc:ca=ac,aaa=a,aac=c,ab=c,cb=acc [00m16s] # 6535 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:1,work:91,nodes:18,pairs:5,completionMax:19us [00m16s] 6535 ab:aaa=a,aaba=ba infinite ac/b ba=c frequency:2/1 abc:aaa=a,aac=c,caa=c,ba=c,bc=cac [00m16s] # 6536 solved: rounds:4,rules:5,peak:8,longest:8,steps:9,word:2,work:3544,nodes:40,pairs:13,completionMax:96us [00m16s] 6536 ab:aaa=a,aaba=bb finite:25;idempotents:1,aa,abab,aababa,bababa reversed:a/b - - ab:aaa=a,bb=aaba,baaba=aabab,ababaa=abab,ababab=abab [00m16s] # 6537 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:10us [00m16s] 6537 ab:aaa=a,aabb=aa infinite ab - - ab:aaa=a,abb=a [00m16s] from: 6537 ab:aaa=a,aabb=aa infinite to: 567 ab:aaa=a,abb=a infinite a=a,b=b [00m16s] # 6538 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:6us [00m16s] 6538 ab:aaa=a,aabb=ab infinite ab - - ab:aaa=a,abb=aab [00m16s] from: 6538 ab:aaa=a,aabb=ab infinite to: 4163 ab:abb=aab,bbb=b infinite anti:a=b,b=a [00m16s] # 6539 solved: rounds:3,rules:5,peak:5,longest:4,steps:3,word:0,work:211,nodes:18,pairs:6,completionMax:29us [00m16s] 6539 ab:aaa=a,aabb=ba infinite ab - - ab:aaa=a,abb=aba,bba=baa,aaba=ba,baba=ba [00m16s] # 6540 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:4us [00m16s] 6540 ab:aaa=a,aabb=bb infinite ab - - ab:aaa=a,aabb=bb [00m16s] # 6541 solved: rounds:2,rules:6,peak:6,longest:4,steps:2,word:1,work:85,nodes:15,pairs:6,completionMax:18us [00m16s] 6541 ab:aaa=a,abab=aa infinite ac/b ab=c frequency:2/0 abc:cc=aa,aaa=a,aac=c,caa=c,ab=c,cb=cac [00m16s] from: 6541 ab:aaa=a,abab=aa infinite to: 6248 ab:aaa=a,aabab=a infinite a=a,b=b,c=c [00m16s] # 6542 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:10,pairs:0,completionMax:5us [00m16s] 6542 ab:aaa=a,abab=ab infinite ab - - ab:aaa=a,abab=ab [00m16s] # 6543 solved: rounds:3,rules:5,peak:6,longest:5,steps:9,word:2,work:884,nodes:20,pairs:12,completionMax:65us [00m16s] 6543 ab:aaa=a,abab=ba infinite reversed:a/b - - ab:aaa=a,aaba=ba,bab=aba,bba=abaab,baabb=baa [00m16s] # 6544 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:228,nodes:24,pairs:4,completionMax:24us [00m16s] 6544 ab:aaa=a,abab=bb infinite ab - - ab:aaa=a,aabb=bb,abab=bb,bbab=abbb,babbb=abbbb [00m16s] # 6545 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:35,nodes:10,pairs:0,completionMax:5us [00m16s] 6545 ab:aaa=a,abba=aa infinite ab - - ab:aaa=a,abba=aa [00m16s] from: 6545 ab:aaa=a,abba=aa infinite to: 6250 ab:aaa=a,aabba=a infinite a=a,b=b [00m16s] # 6546 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:0,work:376,nodes:14,pairs:10,completionMax:32us [00m16s] 6546 ab:aaa=a,abba=ab infinite ba - - ab:aba=abb,aaa=a,abbb=ab,abba=ab [02m00s] 6547 ab:aaa=a,abba=bb hard definitely-infinite [02m00s] # 6548 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:6us [02m00s] 6548 ab:aaa=a,abbb=aa infinite ab - - ab:aaa=a,abbb=aa [02m00s] from: 6548 ab:aaa=a,abbb=aa infinite to: 6252 ab:aaa=a,aabbb=a infinite a=a,b=b [02m00s] # 6549 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [02m00s] 6549 ab:aaa=a,abbb=ab infinite ab - - ab:aaa=a,abbb=ab [02m00s] # 6550 solved: rounds:1,rules:3,peak:3,longest:28,steps:29,word:24,work:688,nodes:60,pairs:1,completionMax:20us [02m00s] 6550 ab:aaa=a,abbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbbbbb=abbb,ba=abbb,aaa=a [02m00s] # 6551 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:72,nodes:14,pairs:4,completionMax:15us [02m00s] 6551 ab:aaa=a,abbb=bb infinite ba - - ab:abb=bbb,aaa=a,bbbb=bb [02m00s] # 6552 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:0,work:230,nodes:16,pairs:8,completionMax:31us [02m00s] 6552 ab:aaa=a,baab=aa infinite ab - - ab:aaa=a,abb=a,baa=aab,bba=a,aaba=ba [02m00s] # 6553 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:1,completionMax:9us [02m00s] 6553 ab:aaa=a,baab=ab infinite ab - - ab:aaa=a,bab=aab,baab=ab [02m00s] # 6554 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [02m00s] 6554 ab:aaa=a,baab=bb infinite ab - - ab:aaa=a,baab=bb [02m00s] # 6555 solved: rounds:4,rules:4,peak:7,longest:5,steps:7,word:0,work:858,nodes:24,pairs:18,completionMax:78us [02m00s] 6555 ab:aaa=a,babb=aa infinite ba - - ab:abb=bba,aba=baa,aaa=a,bbba=aa [02m00s] from: 6555 ab:aaa=a,babb=aa infinite to: 6268 ab:aaa=a,baabb=a infinite a=a,b=b [02m00s] # 6556 solved: rounds:3,rules:8,peak:13,longest:4,steps:3,word:1,work:522,nodes:33,pairs:20,completionMax:76us [02m00s] 6556 ab:aaa=a,babb=ab infinite ac/b ab=c frequency:2/0 abc:aaa=a,aac=c,ccc=c,ccac=ac,bc=acc,bac=acac,ab=c,cb=cac [02m00s] # 6557 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:61,nodes:16,pairs:1,completionMax:9us [02m00s] 6557 ab:aaa=a,babb=ba infinite ab - - ab:aaa=a,babb=ba,baabb=baa [02m00s] # 6558 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:2us [02m00s] 6558 ab:aaa=a,babb=bb infinite ab - - ab:aaa=a,babb=bb [02m00s] # 6559 solved: rounds:1,rules:4,peak:4,longest:8,steps:1,word:2,work:228,nodes:24,pairs:5,completionMax:29us [02m00s] 6559 ab:aaa=a,bbbb=aa infinite b/a - - ab:bbbbbbbb=bbbb,abbbb=a,bbbba=a,aa=bbbb [02m00s] # 6560 solved: rounds:1,rules:3,peak:3,longest:10,steps:2,word:4,work:105,nodes:24,pairs:1,completionMax:13us [02m00s] 6560 ab:aaa=a,bbbb=ab finite:30;idempotents:1,aa,bbbbbb,bbbbbbaa,bbbbbbbbba b/a - - ab:bbbbbbbbbb=bbbb,ab=bbbb,aaa=a [02m00s] # 6561 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:5us [02m00s] 6561 ab:aaa=a,bbbb=bb infinite ab - - ab:aaa=a,bbbb=bb [02m00s] # 6562 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:2us [02m00s] 6562 ab:aaa=b,aaaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [02m00s] from: 6562 ab:aaa=b,aaaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [02m00s] # 6563 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:2,work:2,nodes:2,pairs:0,completionMax:0us [02m00s] 6563 ab:aaa=b,aaaa=ab infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaa [02m00s] from: 6563 ab:aaa=b,aaaa=ab infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbb [02m00s] # 6564 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:4,work:77,nodes:12,pairs:0,completionMax:5us [02m00s] 6564 ab:aaa=b,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaa [02m00s] from: 6564 ab:aaa=b,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbb [02m00s] # 6565 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:28,nodes:12,pairs:0,completionMax:5us [02m00s] 6565 ab:aaa=b,aaab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaa [02m00s] from: 6565 ab:aaa=b,aaab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaa [02m00s] # 6566 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:78,nodes:12,pairs:0,completionMax:4us [02m00s] 6566 ab:aaa=b,aaab=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaa [02m00s] from: 6566 ab:aaa=b,aaab=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbb [02m00s] # 6567 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:77,nodes:12,pairs:0,completionMax:5us [02m00s] 6567 ab:aaa=b,aaab=ba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaa [02m00s] from: 6567 ab:aaa=b,aaab=ba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbb [02m00s] # 6568 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:4,work:9,nodes:2,pairs:0,completionMax:1us [02m00s] 6568 ab:aaa=b,aaab=bb infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaa [02m00s] from: 6568 ab:aaa=b,aaab=bb infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbb [02m00s] # 6569 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:27,nodes:12,pairs:0,completionMax:10us [02m00s] 6569 ab:aaa=b,aaba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaa [02m00s] from: 6569 ab:aaa=b,aaba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaa [02m00s] # 6570 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:77,nodes:12,pairs:0,completionMax:6us [02m00s] 6570 ab:aaa=b,aaba=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaa [02m00s] from: 6570 ab:aaa=b,aaba=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbb [02m00s] # 6571 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:76,nodes:12,pairs:0,completionMax:4us [02m00s] 6571 ab:aaa=b,aaba=ba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaa [02m00s] from: 6571 ab:aaa=b,aaba=ba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbb [02m00s] # 6572 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:4,work:8,nodes:2,pairs:0,completionMax:0us [02m00s] 6572 ab:aaa=b,aaba=bb infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaa [02m00s] from: 6572 ab:aaa=b,aaba=bb infinite;commutative:ab:b=a3;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbb [02m00s] # 6573 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:41,nodes:16,pairs:0,completionMax:5us [02m00s] 6573 ab:aaa=b,aabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaa [02m00s] from: 6573 ab:aaa=b,aabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaa [02m00s] # 6574 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:75,nodes:16,pairs:0,completionMax:5us [02m00s] 6574 ab:aaa=b,aabb=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6574 ab:aaa=b,aabb=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6575 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:74,nodes:16,pairs:0,completionMax:7us [02m00s] 6575 ab:aaa=b,aabb=ba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6575 ab:aaa=b,aabb=ba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6576 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:4,work:206,nodes:16,pairs:0,completionMax:8us [02m00s] 6576 ab:aaa=b,aabb=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaa [02m00s] from: 6576 ab:aaa=b,aabb=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaa [02m00s] # 6577 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:40,nodes:16,pairs:0,completionMax:6us [02m00s] 6577 ab:aaa=b,abab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaa [02m00s] from: 6577 ab:aaa=b,abab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaa [02m00s] # 6578 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:74,nodes:16,pairs:0,completionMax:6us [02m00s] 6578 ab:aaa=b,abab=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6578 ab:aaa=b,abab=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6579 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:73,nodes:16,pairs:0,completionMax:6us [02m00s] 6579 ab:aaa=b,abab=ba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6579 ab:aaa=b,abab=ba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6580 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:4,work:205,nodes:16,pairs:0,completionMax:5us [02m00s] 6580 ab:aaa=b,abab=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaa [02m00s] from: 6580 ab:aaa=b,abab=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaa [02m00s] # 6581 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:39,nodes:16,pairs:0,completionMax:4us [02m00s] 6581 ab:aaa=b,abba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaa [02m00s] from: 6581 ab:aaa=b,abba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaa [02m00s] # 6582 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:73,nodes:16,pairs:0,completionMax:6us [02m00s] 6582 ab:aaa=b,abba=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6582 ab:aaa=b,abba=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6583 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:4,work:204,nodes:16,pairs:0,completionMax:7us [02m00s] 6583 ab:aaa=b,abba=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaa [02m00s] from: 6583 ab:aaa=b,abba=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaa [02m00s] # 6584 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:55,nodes:20,pairs:0,completionMax:8us [02m00s] 6584 ab:aaa=b,abbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaa [02m00s] from: 6584 ab:aaa=b,abbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaa [02m00s] # 6585 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:97,nodes:20,pairs:0,completionMax:6us [02m00s] 6585 ab:aaa=b,abbb=ab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaa [02m00s] from: 6585 ab:aaa=b,abbb=ab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaa [02m00s] # 6586 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:96,nodes:20,pairs:0,completionMax:6us [02m00s] 6586 ab:aaa=b,abbb=ba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaa [02m00s] from: 6586 ab:aaa=b,abbb=ba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaa [02m00s] # 6587 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:180,nodes:20,pairs:0,completionMax:9us [02m00s] 6587 ab:aaa=b,abbb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 a/b - - ab:aaaaaaaaaa=aaaaaa,b=aaa [02m00s] # 6588 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:39,nodes:16,pairs:0,completionMax:8us [02m00s] 6588 ab:aaa=b,baab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aaa [02m00s] from: 6588 ab:aaa=b,baab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aaa [02m00s] # 6589 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:73,nodes:16,pairs:0,completionMax:7us [02m00s] 6589 ab:aaa=b,baab=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaa [02m00s] from: 6589 ab:aaa=b,baab=ab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbb [02m00s] # 6590 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:4,work:204,nodes:16,pairs:0,completionMax:7us [02m00s] 6590 ab:aaa=b,baab=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaa [02m00s] from: 6590 ab:aaa=b,baab=bb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaa [02m00s] # 6591 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:54,nodes:20,pairs:0,completionMax:9us [02m00s] 6591 ab:aaa=b,babb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaa [02m00s] from: 6591 ab:aaa=b,babb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaa [02m00s] # 6592 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:96,nodes:20,pairs:0,completionMax:9us [02m00s] 6592 ab:aaa=b,babb=ab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaa [02m00s] from: 6592 ab:aaa=b,babb=ab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaa [02m00s] # 6593 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:95,nodes:20,pairs:0,completionMax:6us [02m00s] 6593 ab:aaa=b,babb=ba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aaa [02m00s] from: 6593 ab:aaa=b,babb=ba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aaa [02m00s] # 6594 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:179,nodes:20,pairs:0,completionMax:8us [02m00s] 6594 ab:aaa=b,babb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 a/b - - ab:aaaaaaaaaa=aaaaaa,b=aaa [02m00s] from: 6594 ab:aaa=b,babb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 to: 6587 ab:aaa=b,abbb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 a=a,b=aaa [02m00s] # 6595 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:70,nodes:24,pairs:0,completionMax:6us [02m00s] 6595 ab:aaa=b,bbbb=aa finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaa,aaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaa [02m00s] from: 6595 ab:aaa=b,bbbb=aa finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a3;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaa,aaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbb [02m00s] # 6596 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:120,nodes:24,pairs:0,completionMax:7us [02m00s] 6596 ab:aaa=b,bbbb=ab finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a/b - - ab:aaaaaaaaaaaa=aaaa,b=aaa [02m00s] from: 6596 ab:aaa=b,bbbb=ab finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=b,b=bbb [02m00s] # 6597 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:171,nodes:24,pairs:0,completionMax:7us [02m00s] 6597 ab:aaa=b,bbbb=bb finite:12;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a6,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaaaa,aaaaaaaa;smith:6 a/b - - ab:aaaaaaaaaaaa=aaaaaa,b=aaa [02m00s] # 6598 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:71,nodes:8,pairs:2,completionMax:32us [02m00s] 6598 ab:aab=a,aaaa=aa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6598 ab:aab=a,aaaa=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6599 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:2,work:17,nodes:10,pairs:1,completionMax:6us [02m00s] 6599 ab:aab=a,aaaa=ab infinite a/b - - ab:aaaaa=a,ab=aaaa [02m00s] from: 6599 ab:aab=a,aaaa=ab infinite to: 6318 ab:aab=a,aaaaa=a infinite a=a,b=b [02m00s] # 6600 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:2,work:152,nodes:14,pairs:3,completionMax:21us [02m00s] 6600 ab:aab=a,aaaa=ba infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaa=a,ba=aaaa,ab=aaaa [02m00s] from: 6600 ab:aab=a,aaaa=ba infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 6364 ab:aab=a,babbb=a infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=b [02m00s] # 6601 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:8,work:656,nodes:24,pairs:17,completionMax:57us [02m00s] 6601 ab:aab=a,aaaa=bb finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 b/a - - ab:bbbbbbbb=bb,a=bbbbb [02m00s] from: 6601 ab:aab=a,aaaa=bb finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b2,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=aaaaa,b=a [02m00s] # 6602 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:1us [02m00s] 6602 ab:aab=a,aaab=aa infinite ab - - ab:aab=a [02m00s] from: 6602 ab:aab=a,aaab=aa infinite to: 6324 ab:aab=a,aaabb=a infinite a=a,b=b [02m00s] # 6603 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:1,completionMax:5us [02m00s] 6603 ab:aab=a,aaab=ab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6603 ab:aab=a,aaab=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6604 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:108,nodes:10,pairs:3,completionMax:15us [02m00s] 6604 ab:aab=a,aaab=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6604 ab:aab=a,aaab=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6605 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:54,nodes:14,pairs:3,completionMax:10us [02m00s] 6605 ab:aab=a,aaab=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbb=bb,a=bbb [02m00s] from: 6605 ab:aab=a,aaab=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [02m00s] # 6606 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 6606 ab:aab=a,aaba=aa infinite ab - - ab:aab=a [02m00s] from: 6606 ab:aab=a,aaba=aa infinite to: 6324 ab:aab=a,aaabb=a infinite a=a,b=b [02m00s] # 6607 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:1,completionMax:4us [02m00s] 6607 ab:aab=a,aaba=ab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6607 ab:aab=a,aaba=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6608 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:107,nodes:10,pairs:3,completionMax:16us [02m00s] 6608 ab:aab=a,aaba=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6608 ab:aab=a,aaba=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6609 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:53,nodes:14,pairs:3,completionMax:14us [02m00s] 6609 ab:aab=a,aaba=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbb=bb,a=bbb [02m00s] from: 6609 ab:aab=a,aaba=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [02m00s] # 6610 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:1,completionMax:6us [02m00s] 6610 ab:aab=a,aabb=aa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6610 ab:aab=a,aabb=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6611 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 6611 ab:aab=a,aabb=ab infinite ab - - ab:aab=a [02m00s] from: 6611 ab:aab=a,aabb=ab infinite to: 6324 ab:aab=a,aaabb=a infinite a=a,b=b [02m00s] # 6612 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:2us [02m00s] 6612 ab:aab=a,aabb=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6612 ab:aab=a,aabb=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6613 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:8,pairs:2,completionMax:7us [02m00s] 6613 ab:aab=a,aabb=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bbb [02m00s] from: 6613 ab:aab=a,aabb=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bbb,b=b [02m00s] # 6614 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:42,nodes:10,pairs:1,completionMax:10us [02m00s] 6614 ab:aab=a,abaa=aa infinite ab - - ab:aab=a,aba=a [02m00s] from: 6614 ab:aab=a,abaa=aa infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [02m00s] # 6615 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:186,nodes:10,pairs:6,completionMax:25us [02m00s] 6615 ab:aab=a,abaa=ab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6615 ab:aab=a,abaa=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6616 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:413,nodes:16,pairs:20,completionMax:53us [02m00s] 6616 ab:aab=a,abaa=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6616 ab:aab=a,abaa=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6617 solved: rounds:2,rules:2,peak:11,longest:7,steps:4,word:4,work:1348,nodes:24,pairs:25,completionMax:96us [02m00s] 6617 ab:aab=a,abaa=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbb=bb,a=bbb [02m00s] from: 6617 ab:aab=a,abaa=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aaa,b=a [02m00s] # 6618 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:143,nodes:10,pairs:6,completionMax:24us [02m00s] 6618 ab:aab=a,abab=aa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6618 ab:aab=a,abab=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6619 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:7us [02m00s] 6619 ab:aab=a,abab=ab infinite ab - - ab:aab=a,abab=ab [02m00s] # 6620 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:152,nodes:12,pairs:7,completionMax:41us [02m00s] 6620 ab:aab=a,abab=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6620 ab:aab=a,abab=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6621 solved: rounds:2,rules:2,peak:9,longest:4,steps:5,word:2,work:611,nodes:18,pairs:9,completionMax:52us [02m00s] 6621 ab:aab=a,abab=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bbb [02m00s] from: 6621 ab:aab=a,abab=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bbb,b=b [02m00s] # 6622 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:239,nodes:12,pairs:8,completionMax:60us [02m00s] 6622 ab:aab=a,abba=aa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6622 ab:aab=a,abba=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6623 solved: rounds:2,rules:5,peak:6,longest:4,steps:4,word:0,work:125,nodes:15,pairs:8,completionMax:21us [02m00s] 6623 ab:aab=a,abba=ab infinite acb abb=c frequency:3/1 abc:ab=ac,ca=ac,cb=cc,aac=a,acc=c [02m00s] from: 6623 ab:aab=a,abba=ab infinite to: 6342 ab:aab=a,abbaa=a infinite a=a,b=b,c=c [02m00s] # 6624 solved: rounds:1,rules:5,peak:5,longest:4,steps:4,word:0,work:96,nodes:21,pairs:5,completionMax:24us [02m00s] 6624 ab:aab=a,abba=ba infinite cba bba=c frequency:3/1 abc:bc=cc,ac=ba,cab=c,bba=c,aab=a [02m00s] # 6625 solved: rounds:3,rules:2,peak:11,longest:8,steps:3,word:2,work:2100,nodes:26,pairs:37,completionMax:267us [02m00s] 6625 ab:aab=a,abba=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bbb [02m00s] from: 6625 ab:aab=a,abba=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bbb,b=b [02m00s] # 6626 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:2,work:26,nodes:10,pairs:3,completionMax:9us [02m00s] 6626 ab:aab=a,abbb=aa infinite a/b - - ab:aaaaa=a,ab=aaaa [02m00s] from: 6626 ab:aab=a,abbb=aa infinite to: 6318 ab:aab=a,aaaaa=a infinite a=a,b=b [02m00s] # 6627 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:7us [02m00s] 6627 ab:aab=a,abbb=ab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6627 ab:aab=a,abbb=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6628 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:70,nodes:10,pairs:8,completionMax:21us [02m00s] 6628 ab:aab=a,abbb=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6628 ab:aab=a,abbb=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6629 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [02m00s] 6629 ab:aab=a,abbb=bb infinite ab - - ab:aab=a,abbb=bb [02m00s] # 6630 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:36,nodes:12,pairs:2,completionMax:10us [02m00s] 6630 ab:aab=a,baaa=aa infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6630 ab:aab=a,baaa=aa infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6631 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:510,nodes:18,pairs:20,completionMax:59us [02m00s] 6631 ab:aab=a,baaa=ab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6631 ab:aab=a,baaa=ab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6632 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:159,nodes:14,pairs:5,completionMax:23us [02m00s] 6632 ab:aab=a,baaa=ba infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6632 ab:aab=a,baaa=ba infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6633 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:2,work:138,nodes:22,pairs:8,completionMax:34us [02m00s] 6633 ab:aab=a,baaa=bb finite:10;idempotents:1,ba,aaaa a/b - - ab:aaaaa=a,ab=aaaa,bb=baaa [02m00s] # 6634 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:108,nodes:10,pairs:3,completionMax:19us [02m00s] 6634 ab:aab=a,baab=aa infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6634 ab:aab=a,baab=aa infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6635 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:4us [02m00s] 6635 ab:aab=a,baab=ab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6635 ab:aab=a,baab=ab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6636 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:1us [02m00s] 6636 ab:aab=a,baab=ba infinite ab - - ab:aab=a [02m00s] from: 6636 ab:aab=a,baab=ba infinite to: 6324 ab:aab=a,aaabb=a infinite a=a,b=b [02m00s] # 6637 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:33,nodes:8,pairs:4,completionMax:11us [02m00s] 6637 ab:aab=a,baab=bb finite:6;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a [02m00s] from: 6637 ab:aab=a,baab=bb finite:6;idempotents:1,aa,ba to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb a=b,b=a [02m00s] # 6638 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:288,nodes:16,pairs:9,completionMax:44us [02m00s] 6638 ab:aab=a,baba=aa infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6638 ab:aab=a,baba=aa infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6639 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:617,nodes:20,pairs:16,completionMax:68us [02m00s] 6639 ab:aab=a,baba=ab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6639 ab:aab=a,baba=ab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6640 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:3us [02m00s] 6640 ab:aab=a,baba=ba infinite ab - - ab:aab=a,baba=ba [02m00s] # 6641 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:0,work:545,nodes:18,pairs:13,completionMax:50us [02m00s] 6641 ab:aab=a,baba=bb finite:6;idempotents:1,aa,ba ab - - ab:ab=aa,bb=ba,aaa=a [02m00s] from: 6641 ab:aab=a,baba=bb finite:6;idempotents:1,aa,ba to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb a=b,b=a [02m00s] # 6642 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:226,nodes:22,pairs:12,completionMax:37us [02m00s] 6642 ab:aab=a,babb=aa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaa=a,ba=aaaa,ab=aaaa [02m00s] from: 6642 ab:aab=a,babb=aa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 6364 ab:aab=a,babbb=a infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=b [02m00s] # 6643 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:116,nodes:12,pairs:7,completionMax:16us [02m00s] 6643 ab:aab=a,babb=ab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6643 ab:aab=a,babb=ab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6644 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:4,completionMax:11us [02m00s] 6644 ab:aab=a,babb=ba infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6644 ab:aab=a,babb=ba infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6645 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [02m00s] 6645 ab:aab=a,babb=bb infinite ab - - ab:aab=a,babb=bb [02m00s] # 6646 solved: rounds:5,rules:3,peak:5,longest:5,steps:2,word:0,work:504,nodes:18,pairs:11,completionMax:50us [02m00s] 6646 ab:aab=a,bbaa=aa infinite ab - - ab:ab=aa,aaa=a,bba=a [02m00s] from: 6646 ab:aab=a,bbaa=aa infinite to: 590 ab:aab=a,bba=a infinite a=a,b=b [02m00s] # 6647 solved: rounds:2,rules:3,peak:5,longest:4,steps:4,word:0,work:247,nodes:16,pairs:6,completionMax:31us [02m00s] 6647 ab:aab=a,bbaa=ab infinite ab - - ab:aab=a,aba=a,bba=abb [02m00s] from: 6647 ab:aab=a,bbaa=ab infinite to: 4175 ab:baa=aab,bba=b infinite a=b,b=a [02m00s] # 6648 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:122,nodes:16,pairs:7,completionMax:19us [02m00s] 6648 ab:aab=a,bbaa=ba infinite ab - - ab:aab=a,aba=a,bba=bab [02m00s] from: 6648 ab:aab=a,bbaa=ba infinite to: 4147 ab:aba=aab,bba=b infinite a=b,b=a [02m00s] # 6649 solved: rounds:3,rules:4,peak:9,longest:4,steps:3,word:0,work:577,nodes:16,pairs:10,completionMax:41us [02m00s] 6649 ab:aab=a,bbaa=bb finite:8;idempotents:1,aa,ba,bb ab - - ab:ab=aa,aaa=a,bbb=bba,bbaa=bb [02m00s] # 6650 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:2,work:544,nodes:22,pairs:15,completionMax:51us [02m00s] 6650 ab:aab=a,bbab=aa infinite a/b - - ab:aaaaa=a,ab=aaaa,bba=aaa [02m00s] from: 6650 ab:aab=a,bbab=aa infinite to: 4150 ab:abb=aaa,baa=a infinite anti:a=a,b=b [02m00s] # 6651 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:177,nodes:16,pairs:11,completionMax:31us [02m00s] 6651 ab:aab=a,bbab=ab infinite ab - - ab:ab=aa,aaa=a,bba=a [02m00s] from: 6651 ab:aab=a,bbab=ab infinite to: 590 ab:aab=a,bba=a infinite a=a,b=b [02m00s] # 6652 solved: rounds:3,rules:3,peak:8,longest:4,steps:4,word:0,work:424,nodes:16,pairs:12,completionMax:43us [02m00s] 6652 ab:aab=a,bbab=ba infinite ab - - ab:ab=aa,aaa=a,bba=baa [02m00s] # 6653 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:43,nodes:16,pairs:1,completionMax:6us [02m00s] 6653 ab:aab=a,bbab=bb infinite ab - - ab:aab=a,abab=ab,bbab=bb [02m00s] # 6654 solved: rounds:5,rules:3,peak:6,longest:7,steps:3,word:2,work:627,nodes:24,pairs:10,completionMax:63us [02m00s] 6654 ab:aab=a,bbba=aa infinite a/b - - ab:aaaaa=a,ab=aaaa,bbba=aa [02m00s] from: 6654 ab:aab=a,bbba=aa infinite to: 6376 ab:aab=a,bbbab=a infinite a=a,b=b [02m00s] # 6655 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:310,nodes:18,pairs:14,completionMax:45us [02m00s] 6655 ab:aab=a,bbba=ab infinite ab - - ab:ab=aa,aaa=a,bbba=aa [02m00s] from: 6655 ab:aab=a,bbba=ab infinite to: 6374 ab:aab=a,bbbaa=a infinite a=a,b=b [02m00s] # 6656 solved: rounds:5,rules:3,peak:6,longest:4,steps:3,word:0,work:306,nodes:18,pairs:9,completionMax:42us [02m00s] 6656 ab:aab=a,bbba=ba infinite ab - - ab:ab=aa,aaa=a,bbba=ba [02m00s] # 6657 solved: rounds:2,rules:5,peak:5,longest:4,steps:1,word:0,work:101,nodes:18,pairs:5,completionMax:13us [02m00s] 6657 ab:aab=a,bbba=bb infinite ab - - ab:aab=a,aba=a,abba=ab,bbab=bb,bbba=bb [02m00s] # 6658 solved: rounds:1,rules:2,peak:3,longest:10,steps:2,word:4,work:120,nodes:22,pairs:3,completionMax:11us [02m00s] 6658 ab:aab=a,bbbb=aa finite:10;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b4,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 b/a - - ab:bbbbbbbbbb=bbbb,a=bbbbb [02m00s] from: 6658 ab:aab=a,bbbb=aa finite:10;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b4,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=aaaaa,b=a [02m00s] # 6659 solved: rounds:2,rules:2,peak:2,longest:8,steps:1,word:2,work:66,nodes:16,pairs:2,completionMax:8us [02m00s] 6659 ab:aab=a,bbbb=ab finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b7;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbbbb=bbbb,a=bbbbbbb [02m00s] from: 6659 ab:aab=a,bbbb=ab finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b7;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=bbbbbbb,b=b [02m00s] # 6660 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:2,work:179,nodes:24,pairs:4,completionMax:21us [02m00s] 6660 ab:aab=a,bbbb=ba finite:12;idempotents:1,ab,bbbb b/a - - ab:bbbbbbbb=bbbb,abbbb=a,ba=bbbb,aa=abbb [02m00s] # 6661 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:79,nodes:16,pairs:4,completionMax:19us [02m00s] 6661 ab:aab=a,bbbb=bb finite:12;idempotents:1,aa,ba,bb,bbaa,bbba ab - - ab:ab=aa,aaa=a,bbbb=bb [02m00s] # 6662 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:3us [02m00s] 6662 ab:aab=b,aaaa=aa infinite ab - - ab:aab=b,aaaa=aa [02m00s] # 6663 solved: rounds:2,rules:2,peak:2,longest:6,steps:2,word:0,work:72,nodes:12,pairs:2,completionMax:9us [02m00s] 6663 ab:aab=b,aaaa=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaaa [02m00s] from: 6663 ab:aab=b,aaaa=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbb [02m00s] # 6664 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:2,work:173,nodes:14,pairs:2,completionMax:11us [02m00s] 6664 ab:aab=b,aaaa=ba finite:8;idempotents:1,ab,aaaa a/b - - ab:aaaaaa=aaaa,ba=aaaa,aab=b,bb=ab [02m00s] # 6665 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:2,work:237,nodes:20,pairs:6,completionMax:22us [02m00s] 6665 ab:aab=b,aaaa=bb infinite a/b - - ab:aaaaaa=aaaa,baa=b,aab=b,bb=aaaa [02m00s] # 6666 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:2,completionMax:6us [02m00s] 6666 ab:aab=b,aaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [02m00s] from: 6666 ab:aab=b,aaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [02m00s] # 6667 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [02m00s] 6667 ab:aab=b,aaab=ab infinite ab - - ab:aab=b [02m00s] from: 6667 ab:aab=b,aaab=ab infinite to: 6385 ab:aab=b,aaaab=b infinite a=a,b=b [02m00s] # 6668 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 6668 ab:aab=b,aaab=ba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6668 ab:aab=b,aaab=ba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6669 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:3us [02m00s] 6669 ab:aab=b,aaab=bb infinite ba - - ab:ab=bb,bbb=b [02m00s] from: 6669 ab:aab=b,aaab=bb infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [02m00s] # 6670 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:96,nodes:10,pairs:9,completionMax:18us [02m00s] 6670 ab:aab=b,aaba=aa finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=ba,bbb=b [02m00s] # 6671 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:2us [02m00s] 6671 ab:aab=b,aaba=ab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6671 ab:aab=b,aaba=ab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6672 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:0us [02m00s] 6672 ab:aab=b,aaba=ba infinite ab - - ab:aab=b [02m00s] from: 6672 ab:aab=b,aaba=ba infinite to: 6385 ab:aab=b,aaaab=b infinite a=a,b=b [02m00s] # 6673 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:42,nodes:12,pairs:1,completionMax:6us [02m00s] 6673 ab:aab=b,aaba=bb infinite ba - - ab:ba=bb,aab=b,bbbb=bb [02m00s] from: 6673 ab:aab=b,aaba=bb infinite to: 642 ab:ab=aa,bba=a infinite a=b,b=a [02m00s] # 6674 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:66,nodes:12,pairs:2,completionMax:10us [02m00s] 6674 ab:aab=b,aabb=aa infinite ab - - ab:bb=aa,aab=b,baa=b,aaaa=aa [02m00s] from: 6674 ab:aab=b,aabb=aa infinite to: 652 ab:bb=aa,aaa=a infinite a=b,b=a [02m00s] # 6675 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:8,pairs:1,completionMax:3us [02m00s] 6675 ab:aab=b,aabb=ab infinite ba - - ab:ab=bb,bbb=b [02m00s] from: 6675 ab:aab=b,aabb=ab infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [02m00s] # 6676 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:42,nodes:12,pairs:1,completionMax:7us [02m00s] 6676 ab:aab=b,aabb=ba infinite ba - - ab:ba=bb,aab=b,bbbb=bb [02m00s] from: 6676 ab:aab=b,aabb=ba infinite to: 642 ab:ab=aa,bba=a infinite a=b,b=a [02m00s] # 6677 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 6677 ab:aab=b,aabb=bb infinite ab - - ab:aab=b [02m00s] from: 6677 ab:aab=b,aabb=bb infinite to: 6385 ab:aab=b,aaaab=b infinite a=a,b=b [02m00s] # 6678 solved: rounds:2,rules:4,peak:8,longest:4,steps:4,word:0,work:439,nodes:16,pairs:15,completionMax:51us [02m00s] 6678 ab:aab=b,abaa=aa finite:8;idempotents:1,aa,ba,bb ba - - ab:ab=bb,bbb=b,aaa=baa,bbaa=aa [02m00s] # 6679 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:14,pairs:2,completionMax:8us [02m00s] 6679 ab:aab=b,abaa=ab infinite ab - - ab:aab=b,baa=b [02m00s] from: 6679 ab:aab=b,abaa=ab infinite to: 595 ab:aab=b,baa=b infinite a=a,b=b [02m00s] # 6680 solved: rounds:1,rules:3,peak:4,longest:4,steps:3,word:0,work:115,nodes:14,pairs:4,completionMax:13us [02m00s] 6680 ab:aab=b,abaa=ba infinite ab - - ab:aab=b,baa=aba,bab=abb [02m00s] # 6681 solved: rounds:3,rules:5,peak:6,longest:6,steps:4,word:2,work:447,nodes:26,pairs:8,completionMax:38us [02m00s] 6681 ab:aab=b,abaa=bb infinite a/b - - ab:baaaa=baa,aab=b,bb=abaa,babaa=baa,babab=bab [02m00s] from: 6681 ab:aab=b,abaa=bb infinite to: 4180 ab:baa=abb,bba=a infinite a=b,b=a [02m00s] # 6682 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:193,nodes:16,pairs:10,completionMax:32us [02m00s] 6682 ab:aab=b,abab=aa infinite ab - - ab:aab=b,baa=b,bab=aaa,aaaa=aa [02m00s] # 6683 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:37,nodes:14,pairs:1,completionMax:7us [02m00s] 6683 ab:aab=b,abab=ab infinite ab - - ab:aab=b,bab=b [02m00s] from: 6683 ab:aab=b,abab=ab infinite to: 597 ab:aab=b,bab=b infinite a=a,b=b [02m00s] # 6684 solved: rounds:3,rules:5,peak:5,longest:4,steps:3,word:0,work:357,nodes:16,pairs:15,completionMax:55us [02m00s] 6684 ab:aab=b,abab=ba infinite ab - - ab:aab=b,bab=aba,bba=abb,bbb=baa,baaa=ba [02m00s] from: 6684 ab:aab=b,abab=ba infinite to: 4190 ab:bab=aba,bba=a infinite a=b,b=a [02m00s] # 6685 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:53,nodes:14,pairs:2,completionMax:6us [02m00s] 6685 ab:aab=b,abab=bb infinite ab - - ab:aab=b,bab=abb [02m00s] # 6686 solved: rounds:3,rules:5,peak:6,longest:5,steps:2,word:0,work:330,nodes:22,pairs:14,completionMax:50us [02m00s] 6686 ab:aab=b,abba=aa infinite ab - - ab:aab=b,bba=aaa,bbb=b,aaaa=aa,baaa=ba [02m00s] # 6687 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:317,nodes:18,pairs:11,completionMax:54us [02m00s] 6687 ab:aab=b,abba=ab infinite ba - - ab:ba=bb,bbb=b,aab=b [02m00s] from: 6687 ab:aab=b,abba=ab infinite to: 590 ab:aab=a,bba=a infinite a=b,b=a [02m00s] # 6688 solved: rounds:2,rules:5,peak:7,longest:4,steps:3,word:0,work:341,nodes:16,pairs:8,completionMax:30us [02m00s] 6688 ab:aab=b,abba=ba infinite ba - - ab:abb=bbb,aba=bba,aab=b,bbbb=bb,bbba=ba [02m00s] # 6689 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:38,nodes:14,pairs:3,completionMax:10us [02m00s] 6689 ab:aab=b,abba=bb infinite ab - - ab:aab=b,bba=abb [02m00s] from: 6689 ab:aab=b,abba=bb infinite to: 4174 ab:baa=aab,bba=a infinite a=b,b=a [02m00s] # 6690 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:2,work:253,nodes:16,pairs:12,completionMax:34us [02m00s] 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aa=bbbbbb [02m00s] # 6691 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:14,pairs:1,completionMax:7us [02m00s] 6691 ab:aab=b,abbb=ab infinite ab - - ab:aab=b,bbb=b [02m00s] from: 6691 ab:aab=b,abbb=ab infinite to: 6397 ab:aab=b,aabbb=b infinite a=a,b=b [02m00s] # 6692 solved: rounds:1,rules:3,peak:3,longest:10,steps:12,word:6,work:177,nodes:24,pairs:1,completionMax:14us [02m00s] 6692 ab:aab=b,abbb=ba infinite b/a - - ab:bbbbbbbbbb=bb,ba=abbb,aab=b [02m00s] from: 6692 ab:aab=b,abbb=ba infinite to: 4184 ab:bab=aaa,bba=a infinite a=b,b=a [02m00s] # 6693 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:14,pairs:3,completionMax:7us [02m00s] 6693 ab:aab=b,abbb=bb infinite ba - - ab:abb=bbb,aab=b,bbbb=bb [02m00s] # 6694 solved: rounds:2,rules:4,peak:6,longest:4,steps:4,word:0,work:401,nodes:18,pairs:6,completionMax:30us [02m00s] 6694 ab:aab=b,baaa=aa finite:8;idempotents:1,aa,ba,bb ba - - ab:ab=bb,bbb=b,aaa=baa,bbaa=aa [02m00s] from: 6694 ab:aab=b,baaa=aa finite:8;idempotents:1,aa,ba,bb to: 6678 ab:aab=b,abaa=aa finite:8;idempotents:1,aa,ba,bb a=a,b=b [02m00s] # 6695 solved: rounds:1,rules:2,peak:2,longest:7,steps:8,word:2,work:66,nodes:16,pairs:1,completionMax:10us [02m00s] 6695 ab:aab=b,baaa=ab infinite a/b - - ab:baaaaaa=b,ab=baaa [02m00s] from: 6695 ab:aab=b,baaa=ab infinite to: 6399 ab:aab=b,abaaa=b infinite a=a,b=b [02m00s] # 6696 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:2us [02m00s] 6696 ab:aab=b,baaa=ba infinite ab - - ab:aab=b,baaa=ba [02m00s] # 6697 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:121,nodes:16,pairs:2,completionMax:12us [02m00s] 6697 ab:aab=b,baaa=bb infinite ba - - ab:bab=bbb,aab=b,bbbb=bb,baaa=bb [02m00s] # 6698 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:67,nodes:12,pairs:2,completionMax:8us [02m00s] 6698 ab:aab=b,baab=aa infinite ab - - ab:bb=aa,aab=b,baa=b,aaaa=aa [02m00s] from: 6698 ab:aab=b,baab=aa infinite to: 652 ab:bb=aa,aaa=a infinite a=b,b=a [02m00s] # 6699 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:3us [02m00s] 6699 ab:aab=b,baab=ab infinite ba - - ab:ab=bb,bbb=b [02m00s] from: 6699 ab:aab=b,baab=ab infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [02m00s] # 6700 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:43,nodes:12,pairs:1,completionMax:4us [02m00s] 6700 ab:aab=b,baab=ba infinite ba - - ab:ba=bb,aab=b,bbbb=bb [02m00s] from: 6700 ab:aab=b,baab=ba infinite to: 642 ab:ab=aa,bba=a infinite a=b,b=a [02m00s] # 6701 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:1us [02m00s] 6701 ab:aab=b,baab=bb infinite ab - - ab:aab=b [02m00s] from: 6701 ab:aab=b,baab=bb infinite to: 6385 ab:aab=b,aaaab=b infinite a=a,b=b [02m00s] # 6702 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:136,nodes:16,pairs:3,completionMax:10us [02m00s] 6702 ab:aab=b,baba=aa infinite ab - - ab:aab=b,aaaa=aa,baaa=ba,baba=aa,babb=ab [02m00s] # 6703 solved: rounds:3,rules:5,peak:8,longest:4,steps:3,word:0,work:617,nodes:20,pairs:24,completionMax:50us [02m00s] 6703 ab:aab=b,baba=ab infinite ab - - ab:aab=b,baa=b,bab=aba,bba=abb,bbb=b [02m00s] from: 6703 ab:aab=b,baba=ab infinite to: 6403 ab:aab=b,ababa=b infinite a=a,b=b [02m00s] # 6704 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:52,nodes:12,pairs:1,completionMax:5us [02m00s] 6704 ab:aab=b,baba=ba infinite ab - - ab:aab=b,baba=ba,babb=bb [02m00s] # 6705 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:300,nodes:20,pairs:3,completionMax:27us [02m00s] 6705 ab:aab=b,baba=bb infinite ba - - ab:aab=b,bbab=bbba,babb=bbba,baba=bb,bbbaa=bbb [02m00s] # 6706 solved: rounds:5,rules:4,peak:8,longest:12,steps:8,word:10,work:3252,nodes:36,pairs:33,completionMax:142us [02m00s] 6706 ab:aab=b,babb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aa=bbbbbb [02m00s] from: 6706 ab:aab=b,babb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6707 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:62,nodes:14,pairs:1,completionMax:9us [02m00s] 6707 ab:aab=b,babb=ab infinite ab - - ab:aab=b,babb=ab,babab=b [02m00s] from: 6707 ab:aab=b,babb=ab infinite to: 6405 ab:aab=b,ababb=b infinite a=a,b=b [02m00s] # 6708 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:161,nodes:16,pairs:4,completionMax:18us [02m00s] 6708 ab:aab=b,babb=ba infinite ba - - ab:baa=bbb,aab=b,bbbb=bb,bbba=ba,babb=ba [02m00s] # 6709 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:4us [02m00s] 6709 ab:aab=b,babb=bb infinite ab - - ab:aab=b,babb=bb [02m00s] # 6710 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:125,nodes:14,pairs:3,completionMax:13us [02m00s] 6710 ab:aab=b,bbaa=aa infinite ab - - ab:aab=b,bbb=b,aaaa=aa,bbaa=aa,bbab=ab [02m00s] # 6711 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:443,nodes:20,pairs:14,completionMax:50us [02m00s] 6711 ab:aab=b,bbaa=ab infinite ba - - ab:ab=bb,bbb=b,baa=b [02m00s] from: 6711 ab:aab=b,bbaa=ab infinite to: 4164 ab:abb=aba,baa=a infinite a=b,b=a [02m00s] # 6712 solved: rounds:3,rules:5,peak:6,longest:4,steps:2,word:0,work:240,nodes:16,pairs:5,completionMax:41us [02m00s] 6712 ab:aab=b,bbaa=ba infinite ba - - ab:bab=bbb,baa=bba,aab=b,bbbb=bb,bbba=ba [02m00s] # 6713 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:12,pairs:0,completionMax:3us [02m00s] 6713 ab:aab=b,bbaa=bb infinite ab - - ab:aab=b,bbaa=bb [02m00s] # 6714 solved: rounds:5,rules:4,peak:8,longest:12,steps:8,word:6,work:3064,nodes:44,pairs:48,completionMax:143us [02m00s] 6714 ab:aab=b,bbab=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aa=bbbbbb [02m00s] from: 6714 ab:aab=b,bbab=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6715 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:49,nodes:12,pairs:1,completionMax:4us [02m00s] 6715 ab:aab=b,bbab=ab infinite ab - - ab:aab=b,bbb=b,bbab=ab [02m00s] from: 6715 ab:aab=b,bbab=ab infinite to: 6409 ab:aab=b,abbab=b infinite a=a,b=b [02m00s] # 6716 solved: rounds:2,rules:6,peak:6,longest:5,steps:2,word:0,work:226,nodes:20,pairs:6,completionMax:16us [02m00s] 6716 ab:aab=b,bbab=ba infinite ab - - ab:aab=b,baaa=ba,bbaa=bb,bbab=ba,babaa=bab,babab=baa [02m00s] # 6717 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:1us [02m00s] 6717 ab:aab=b,bbab=bb infinite ab - - ab:aab=b,bbab=bb [02m00s] # 6718 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:77,nodes:16,pairs:5,completionMax:20us [02m00s] 6718 ab:aab=b,bbba=aa finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=bbba [02m00s] # 6719 solved: rounds:5,rules:3,peak:6,longest:11,steps:5,word:4,work:669,nodes:42,pairs:11,completionMax:77us [02m00s] 6719 ab:aab=b,bbba=ab infinite b/a - - ab:bbbbbbbbb=b,ba=abbb,aab=b [02m00s] from: 6719 ab:aab=b,bbba=ab infinite to: 6411 ab:aab=b,abbba=b infinite a=a,b=b [02m00s] # 6720 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:50,nodes:12,pairs:1,completionMax:12us [02m00s] 6720 ab:aab=b,bbba=ba infinite ab - - ab:aab=b,bbba=ba,bbbb=bb [02m00s] # 6721 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:0,work:373,nodes:16,pairs:7,completionMax:37us [02m00s] 6721 ab:aab=b,bbba=bb infinite ba - - ab:bba=bbb,aab=b,bbbb=bb [02m00s] # 6722 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:78,nodes:16,pairs:4,completionMax:12us [02m00s] 6722 ab:aab=b,bbbb=aa infinite ab - - ab:aab=b,baa=b,aaaa=aa,bbbb=aa [02m00s] # 6723 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:25,nodes:16,pairs:1,completionMax:8us [02m00s] 6723 ab:aab=b,bbbb=ab infinite b/a - - ab:bbbbbbb=b,ab=bbbb [02m00s] from: 6723 ab:aab=b,bbbb=ab infinite to: 6413 ab:aab=b,abbbb=b infinite a=a,b=b [02m00s] # 6724 solved: rounds:1,rules:3,peak:3,longest:8,steps:1,word:2,work:64,nodes:20,pairs:1,completionMax:8us [02m00s] 6724 ab:aab=b,bbbb=ba infinite b/a - - ab:bbbbbbbb=bb,ba=bbbb,aab=b [02m00s] # 6725 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:3us [02m00s] 6725 ab:aab=b,bbbb=bb infinite ab - - ab:aab=b,bbbb=bb [02m00s] # 6726 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:37,nodes:10,pairs:0,completionMax:4us [02m00s] 6726 ab:aba=a,aaaa=aa infinite ab - - ab:aba=a,aaaa=aa [02m00s] # 6727 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:2,work:30,nodes:10,pairs:2,completionMax:7us [02m00s] 6727 ab:aba=a,aaaa=ab infinite a/b - - ab:aaaaa=a,ab=aaaa [02m00s] from: 6727 ab:aba=a,aaaa=ab infinite to: 6318 ab:aab=a,aaaaa=a infinite a=a,b=b [02m00s] # 6728 solved: rounds:4,rules:5,peak:9,longest:12,steps:4,word:8,work:1486,nodes:44,pairs:15,completionMax:81us [02m00s] 6728 ab:aba=a,aaaa=bb finite:20;idempotents:1,ab,ba,bbbbbb;center:1,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb b/a - - ab:bbbbbbbb=bb,abb=bbbbbbb,bba=bbbbbbb,aba=a,aaaa=bb [02m00s] # 6729 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [02m00s] 6729 ab:aba=a,aaab=aa infinite ab - - ab:aba=a,aaab=aa [02m00s] # 6730 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:40,nodes:10,pairs:1,completionMax:12us [02m00s] 6730 ab:aba=a,aaab=ab infinite ab - - ab:aaa=a,aba=a [02m00s] from: 6730 ab:aba=a,aaab=ab infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [02m00s] # 6731 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:314,nodes:16,pairs:13,completionMax:38us [02m00s] 6731 ab:aba=a,aaab=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6731 ab:aba=a,aaab=ba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6732 solved: rounds:3,rules:4,peak:5,longest:8,steps:3,word:2,work:508,nodes:26,pairs:11,completionMax:47us [02m00s] 6732 ab:aba=a,aaab=bb finite:18;idempotents:1,ab,ba,aaaa,aaaaab a/b - - ab:aaaaaaa=aaa,baaa=aaaaaa,aba=a,bb=aaab [02m00s] # 6733 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:10,nodes:6,pairs:0,completionMax:2us [02m00s] 6733 ab:aba=a,aaba=aa infinite ab - - ab:aba=a [02m00s] from: 6733 ab:aba=a,aaba=aa infinite to: 6464 ab:aba=a,ababa=a infinite a=a,b=b [02m00s] # 6734 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:30,nodes:6,pairs:2,completionMax:9us [02m00s] 6734 ab:aba=a,aaba=ab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6734 ab:aba=a,aaba=ab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6735 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:27,nodes:8,pairs:1,completionMax:6us [02m00s] 6735 ab:aba=a,aaba=ba infinite ab - - ab:ba=aa,aaa=a [02m00s] from: 6735 ab:aba=a,aaba=ba infinite to: 4134 ab:aba=aaa,baa=a infinite a=a,b=b [02m00s] # 6736 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:2,work:213,nodes:18,pairs:3,completionMax:26us [02m00s] 6736 ab:aba=a,aaba=bb finite:10;idempotents:1,ab,ba,aaaa;center:1,aa,aaa,aaaa,aaaaa a/b - - ab:aaaaaa=aa,baa=aaaaa,aba=a,aab=aaaaa,bb=aa [02m00s] from: 6736 ab:aba=a,aaba=bb finite:10;idempotents:1,ab,ba,aaaa;center:1,aa,aaa,aaaa,aaaaa to: 656 ab:bb=aa,aba=a finite:10;idempotents:1,ab,ba,aaaa;center:1,aa,aaa,aaaa,aaaaa a=a,b=b [02m00s] # 6737 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:4us [02m00s] 6737 ab:aba=a,aabb=aa infinite ab - - ab:aba=a,aabb=aa [02m00s] # 6738 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [02m00s] 6738 ab:aba=a,aabb=ab infinite ab - - ab:aba=a,aabb=ab [02m00s] # 6739 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:328,nodes:18,pairs:9,completionMax:35us [02m00s] 6739 ab:aba=a,aabb=ba infinite ba - - ab:baa=a,abb=bba,aba=a [02m00s] # 6740 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:5,completionMax:17us [02m00s] 6740 ab:aba=a,aabb=bb infinite ba - - ab:abb=bbb,aba=a,bbbb=bb [02m00s] # 6741 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:29,nodes:6,pairs:2,completionMax:8us [02m00s] 6741 ab:aba=a,abab=aa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6741 ab:aba=a,abab=aa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6742 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 6742 ab:aba=a,abab=ab infinite ab - - ab:aba=a [02m00s] from: 6742 ab:aba=a,abab=ab infinite to: 6464 ab:aba=a,ababa=a infinite a=a,b=b [02m00s] # 6743 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:8,pairs:1,completionMax:8us [02m00s] 6743 ab:aba=a,abab=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6743 ab:aba=a,abab=ba infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6744 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:11,completionMax:31us [02m00s] 6744 ab:aba=a,abab=bb finite:6;idempotents:1,aa,ab ab - - ab:ba=aa,bb=ab,aaa=a [02m00s] from: 6744 ab:aba=a,abab=bb finite:6;idempotents:1,aa,ab to: 6670 ab:aab=b,aaba=aa finite:6;idempotents:1,ba,bb a=b,b=a [02m00s] # 6745 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:4us [02m00s] 6745 ab:aba=a,abba=aa infinite ab - - ab:aba=a,abba=aa [02m00s] # 6746 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:90,nodes:15,pairs:7,completionMax:22us [02m00s] 6746 ab:aba=a,abba=ab infinite cab abb=c frequency:3/1 abc:cb=cc,ab=ca,cca=c,cac=c,caa=a [02m00s] # 6747 solved: rounds:4,rules:4,peak:7,longest:5,steps:3,word:0,work:766,nodes:16,pairs:26,completionMax:81us [02m00s] 6747 ab:aba=a,abba=bb infinite ba - - ab:bba=bbb,abb=bbb,aba=a,bbbb=bb [02m00s] # 6748 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:5us [02m00s] 6748 ab:aba=a,abbb=aa infinite ab - - ab:aba=a,abbb=aa [02m00s] # 6749 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 6749 ab:aba=a,abbb=ab infinite ab - - ab:aba=a,abbb=ab [02m00s] # 6750 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:268,nodes:16,pairs:8,completionMax:36us [02m00s] 6750 ab:aba=a,abbb=ba infinite ab - - ab:ba=aa,aaa=a,abbb=aa [02m00s] # 6751 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:4us [02m00s] 6751 ab:aba=a,abbb=bb infinite ab - - ab:aba=a,abbb=bb [02m00s] # 6752 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:181,nodes:14,pairs:9,completionMax:34us [02m00s] 6752 ab:aba=a,baab=aa infinite ab - - ab:aab=aaa,aba=a,baa=aaa,aaaa=aa [02m00s] # 6753 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:12,pairs:2,completionMax:5us [02m00s] 6753 ab:aba=a,baab=ab infinite ab - - ab:aba=a,baa=a [02m00s] # 6754 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:2,work:233,nodes:14,pairs:4,completionMax:26us [02m00s] 6754 ab:aba=a,baab=bb infinite a/b - - ab:aba=a,bba=baa,baab=bb,abb=aab,bbb=baaab [02m00s] # 6755 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:2,work:164,nodes:18,pairs:6,completionMax:26us [02m00s] 6755 ab:aba=a,babb=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaaa,aba=a,abb=aaa [02m00s] # 6756 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:241,nodes:14,pairs:15,completionMax:39us [02m00s] 6756 ab:aba=a,babb=ab infinite ab - - ab:ba=aa,aaa=a,abb=aab [02m00s] from: 6756 ab:aba=a,babb=ab infinite to: 4158 ab:abb=aab,baa=a infinite a=a,b=b [02m00s] # 6757 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:12,pairs:2,completionMax:6us [02m00s] 6757 ab:aba=a,babb=ba infinite ab - - ab:aba=a,abb=a [02m00s] from: 6757 ab:aba=a,babb=ba infinite to: 6466 ab:aba=a,ababb=a infinite a=a,b=b [02m00s] # 6758 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:9us [02m00s] 6758 ab:aba=a,babb=bb infinite ab - - ab:aba=a,babb=bb [02m00s] # 6759 solved: rounds:4,rules:5,peak:7,longest:8,steps:4,word:4,work:786,nodes:30,pairs:11,completionMax:89us [02m00s] 6759 ab:aba=a,bbbb=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaaa,aba=a,aab=aaaaaaa,bbbb=aa [02m00s] # 6760 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:2,work:190,nodes:18,pairs:3,completionMax:21us [02m00s] 6760 ab:aba=a,bbbb=ab finite:12;idempotents:1,ba,bbbb b/a - - ab:bbbbbbbb=bbbb,ab=bbbb,bbbba=a,aa=bbba [02m00s] # 6761 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:2us [02m00s] 6761 ab:aba=a,bbbb=bb infinite ab - - ab:aba=a,bbbb=bb [02m00s] # 6762 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:298,nodes:18,pairs:13,completionMax:40us [02m00s] 6762 ab:aba=b,aaaa=aa infinite;commutative:ab:a2b=b,a4=a2;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b,aaaa=aa [02m00s] # 6763 solved: rounds:2,rules:2,peak:3,longest:9,steps:4,word:6,work:724,nodes:18,pairs:4,completionMax:34us [02m00s] 6763 ab:aba=b,aaaa=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaaa [02m00s] from: 6763 ab:aba=b,aaaa=ab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a5;saturation:a:a2=1;noncancellative:a,aaaaa,aaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbb [02m00s] # 6764 solved: rounds:5,rules:4,peak:4,longest:12,steps:21,word:20,work:755,nodes:40,pairs:11,completionMax:54us [02m00s] 6764 ab:aba=b,aaaa=bb finite:20;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaaaaa a/b - - ab:aaaaaaaaaaaa=aaaa,baaaaaaaa=b,ab=baaaaaaa,bb=aaaa [02m00s] # 6765 solved: rounds:3,rules:2,peak:9,longest:4,steps:4,word:2,work:644,nodes:16,pairs:18,completionMax:53us [02m00s] 6765 ab:aba=b,aaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [02m00s] from: 6765 ab:aba=b,aaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [02m00s] # 6766 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:83,nodes:14,pairs:5,completionMax:13us [02m00s] 6766 ab:aba=b,aaab=ab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6766 ab:aba=b,aaab=ab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6767 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:4,work:133,nodes:12,pairs:9,completionMax:29us [02m00s] 6767 ab:aba=b,aaab=ba infinite a/b - - ab:baaaa=b,ab=baaa [02m00s] from: 6767 ab:aba=b,aaab=ba infinite to: 6489 ab:aba=b,aaaab=b infinite a=a,b=b [02m00s] # 6768 solved: rounds:4,rules:3,peak:9,longest:4,steps:3,word:0,work:744,nodes:18,pairs:43,completionMax:104us [02m00s] 6768 ab:aba=b,aaab=bb infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6768 ab:aba=b,aaab=bb infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6769 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:154,nodes:10,pairs:4,completionMax:15us [02m00s] 6769 ab:aba=b,aaba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aaa [02m00s] from: 6769 ab:aba=b,aaba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bbb [02m00s] # 6770 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:3us [02m00s] 6770 ab:aba=b,aaba=ab infinite ab - - ab:aba=b,bba=abb [02m00s] from: 6770 ab:aba=b,aaba=ab infinite to: 6495 ab:aba=b,aabaa=b infinite a=a,b=b [02m00s] # 6771 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:8,pairs:1,completionMax:4us [02m00s] 6771 ab:aba=b,aaba=ba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6771 ab:aba=b,aaba=ba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6772 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:67,nodes:8,pairs:5,completionMax:10us [02m00s] 6772 ab:aba=b,aaba=bb infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6772 ab:aba=b,aaba=bb infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6773 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:142,nodes:18,pairs:6,completionMax:14us [02m00s] 6773 ab:aba=b,aabb=aa infinite ab - - ab:aba=b,bba=abb,bbb=b,aabb=aa,babb=ba [02m00s] # 6774 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:370,nodes:16,pairs:10,completionMax:29us [02m00s] 6774 ab:aba=b,aabb=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6774 ab:aba=b,aabb=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6775 solved: rounds:4,rules:3,peak:7,longest:4,steps:3,word:0,work:706,nodes:18,pairs:33,completionMax:56us [02m00s] 6775 ab:aba=b,aabb=ba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6775 ab:aba=b,aabb=ba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6776 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:103,nodes:18,pairs:2,completionMax:14us [02m00s] 6776 ab:aba=b,aabb=bb infinite ab - - ab:aba=b,bba=abb,aabb=bb,babb=abbb [02m00s] # 6777 solved: rounds:2,rules:3,peak:5,longest:7,steps:7,word:4,work:274,nodes:20,pairs:12,completionMax:30us [02m00s] 6777 ab:aba=b,abab=aa finite:10;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,ba=abbb,aa=bb [02m00s] from: 6777 ab:aba=b,abab=aa finite:10;idempotents:1,bbbb;center:1,bb,bbbb to: 657 ab:bb=aa,aba=b finite:10;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [02m00s] # 6778 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:66,nodes:8,pairs:5,completionMax:15us [02m00s] 6778 ab:aba=b,abab=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6778 ab:aba=b,abab=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6779 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:67,nodes:10,pairs:4,completionMax:10us [02m00s] 6779 ab:aba=b,abab=ba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6779 ab:aba=b,abab=ba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6780 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:3us [02m00s] 6780 ab:aba=b,abab=bb infinite ab - - ab:aba=b,bba=abb [02m00s] from: 6780 ab:aba=b,abab=bb infinite to: 6495 ab:aba=b,aabaa=b infinite a=a,b=b [02m00s] # 6781 solved: rounds:2,rules:5,peak:6,longest:4,steps:3,word:0,work:265,nodes:20,pairs:14,completionMax:35us [02m00s] 6781 ab:aba=b,abba=aa infinite ab - - ab:aba=b,bba=abb,bbb=b,aabb=aa,babb=ba [02m00s] from: 6781 ab:aba=b,abba=aa infinite to: 6773 ab:aba=b,aabb=aa infinite a=a,b=b [02m00s] # 6782 solved: rounds:3,rules:3,peak:9,longest:4,steps:3,word:0,work:553,nodes:18,pairs:38,completionMax:67us [02m00s] 6782 ab:aba=b,abba=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6782 ab:aba=b,abba=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6783 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:144,nodes:18,pairs:7,completionMax:17us [02m00s] 6783 ab:aba=b,abba=bb infinite ab - - ab:aba=b,bba=abb,aabb=bb,babb=abbb [02m00s] from: 6783 ab:aba=b,abba=bb infinite to: 6776 ab:aba=b,aabb=bb infinite a=a,b=b [02m00s] # 6784 solved: rounds:2,rules:4,peak:5,longest:10,steps:3,word:8,work:400,nodes:18,pairs:14,completionMax:51us [02m00s] 6784 ab:aba=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aa=bbbbbb [02m00s] from: 6784 ab:aba=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6785 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:383,nodes:30,pairs:17,completionMax:97us [02m00s] 6785 ab:aba=b,abbb=ab infinite bc/a ba=c frequency:2/1 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [02m00s] from: 6785 ab:aba=b,abbb=ab infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [02m00s] # 6786 solved: rounds:3,rules:3,peak:7,longest:10,steps:16,word:6,work:1221,nodes:38,pairs:9,completionMax:64us [02m00s] 6786 ab:aba=b,abbb=ba infinite b/a - - ab:bbbbb=b,ba=abbb,aab=bbb [02m00s] from: 6786 ab:aba=b,abbb=ba infinite to: 4152 ab:abb=aaa,bab=a infinite a=b,b=a [02m00s] # 6787 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:170,nodes:14,pairs:6,completionMax:21us [02m00s] 6787 ab:aba=b,abbb=bb infinite ba - - ab:bba=bbb,abb=bbb,aba=b,bbbb=bb [02m00s] # 6788 solved: rounds:5,rules:4,peak:7,longest:10,steps:15,word:8,work:1608,nodes:40,pairs:18,completionMax:148us [02m00s] 6788 ab:aba=b,baab=aa finite:18;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaaaaa a/b - - ab:aaaaaaaaaa=aa,baaaaaaaa=b,ab=baaaaaaa,bb=aaaa [02m00s] # 6789 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:292,nodes:14,pairs:14,completionMax:30us [02m00s] 6789 ab:aba=b,baab=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6789 ab:aba=b,baab=ab infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6790 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:162,nodes:18,pairs:9,completionMax:37us [02m00s] 6790 ab:aba=b,baab=bb infinite ab - - ab:aba=b,bab=abb,bba=abb,aabb=bb,baab=bb [02m00s] # 6791 solved: rounds:2,rules:4,peak:6,longest:8,steps:3,word:4,work:384,nodes:30,pairs:16,completionMax:60us [02m00s] 6791 ab:aba=b,babb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aa=bbbbbb [02m00s] from: 6791 ab:aba=b,babb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6792 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:2,work:527,nodes:20,pairs:7,completionMax:74us [02m00s] 6792 ab:aba=b,babb=ab infinite b/a - - ab:bbbbb=b,ba=abbb,aab=bbb [02m00s] from: 6792 ab:aba=b,babb=ab infinite to: 4152 ab:abb=aaa,bab=a infinite a=b,b=a [02m00s] # 6793 solved: rounds:2,rules:8,peak:9,longest:4,steps:3,word:1,work:184,nodes:21,pairs:13,completionMax:31us [02m00s] 6793 ab:aba=b,babb=ba infinite bc/a ba=c frequency:2/2 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [02m00s] from: 6793 ab:aba=b,babb=ba infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [02m00s] # 6794 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:139,nodes:14,pairs:6,completionMax:21us [02m00s] 6794 ab:aba=b,babb=bb infinite ba - - ab:bba=bbb,abb=bbb,aba=b,bbbb=bb [02m00s] from: 6794 ab:aba=b,babb=bb infinite to: 6787 ab:aba=b,abbb=bb infinite a=a,b=b [02m00s] # 6795 solved: rounds:2,rules:3,peak:5,longest:11,steps:13,word:8,work:577,nodes:36,pairs:12,completionMax:58us [02m00s] 6795 ab:aba=b,bbbb=aa finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbbbb,aa=bbbb [02m00s] # 6796 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:2,work:229,nodes:18,pairs:4,completionMax:34us [02m00s] 6796 ab:aba=b,bbbb=ab infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb [02m00s] from: 6796 ab:aba=b,bbbb=ab infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6513 ab:aba=b,abbbb=b infinite;commutative:ab:a2b=b,b4=ab;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6797 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:12,pairs:1,completionMax:7us [02m00s] 6797 ab:aba=b,bbbb=bb infinite ab - - ab:aba=b,bba=abb,bbbb=bb [02m00s] # 6798 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:6us [02m00s] 6798 ab:aaa=a,aab=aaa infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6798 ab:aaa=a,aab=aaa infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6799 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:3us [02m00s] 6799 ab:aaa=a,aba=aaa infinite ab - - ab:aaa=a,aba=a [02m00s] from: 6799 ab:aaa=a,aba=aaa infinite to: 565 ab:aaa=a,aba=a infinite a=a,b=b [02m00s] # 6800 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [02m00s] 6800 ab:aaa=a,abb=aaa infinite ab - - ab:aaa=a,abb=a [02m00s] from: 6800 ab:aaa=a,abb=aaa infinite to: 567 ab:aaa=a,abb=a infinite a=a,b=b [02m00s] # 6801 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:220,nodes:24,pairs:12,completionMax:36us [02m00s] 6801 ab:aaa=a,bab=aaa infinite ac/b ab=c frequency:2/2 abc:cc=aa,aaa=a,aac=c,caa=c,ba=aca,bc=a,ab=c,cb=cac [02m00s] from: 6801 ab:aaa=a,bab=aaa infinite to: 569 ab:aaa=a,bab=a infinite a=a,b=b,c=c [02m00s] # 6802 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:6,work:136,nodes:18,pairs:3,completionMax:14us [02m00s] 6802 ab:aaa=a,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 b/a - - ab:bbbbbbbbb=bbb,a=bbb [02m00s] from: 6802 ab:aaa=a,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=bbb,b=b [02m00s] # 6803 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:43,nodes:10,pairs:0,completionMax:3us [02m00s] 6803 ab:aaa=b,aab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [02m00s] from: 6803 ab:aaa=b,aab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [02m00s] # 6804 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:42,nodes:10,pairs:0,completionMax:3us [02m00s] 6804 ab:aaa=b,aba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaa [02m00s] from: 6804 ab:aaa=b,aba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaa [02m00s] # 6805 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:49,nodes:14,pairs:0,completionMax:3us [02m00s] 6805 ab:aaa=b,abb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [02m00s] from: 6805 ab:aaa=b,abb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [02m00s] # 6806 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:48,nodes:14,pairs:0,completionMax:4us [02m00s] 6806 ab:aaa=b,bab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaa [02m00s] from: 6806 ab:aaa=b,bab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaa [02m00s] # 6807 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:66,nodes:18,pairs:0,completionMax:5us [02m00s] 6807 ab:aaa=b,bbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaa [02m00s] from: 6807 ab:aaa=b,bbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbb [02m00s] # 6808 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:1us [02m00s] 6808 ab:aab=a,aba=aab infinite ab - - ab:aab=a,aba=a [02m00s] from: 6808 ab:aab=a,aba=aab infinite to: 582 ab:aab=a,aba=a infinite a=a,b=b [02m00s] # 6809 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:22,nodes:10,pairs:2,completionMax:9us [02m00s] 6809 ab:aab=a,abb=aaa infinite a/b - - ab:aaaaa=a,ab=aaaa [02m00s] from: 6809 ab:aab=a,abb=aaa infinite to: 6318 ab:aab=a,aaaaa=a infinite a=a,b=b [02m00s] # 6810 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:7us [02m00s] 6810 ab:aab=a,abb=aab infinite ab - - ab:ab=aa,aaa=a [02m00s] from: 6810 ab:aab=a,abb=aab infinite to: 563 ab:aaa=a,aab=a infinite a=a,b=b [02m00s] # 6811 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:10,pairs:1,completionMax:6us [02m00s] 6811 ab:aab=a,baa=aab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=a [02m00s] from: 6811 ab:aab=a,baa=aab infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 586 ab:aab=a,baa=a infinite;commutative:ab:a2b=a;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 6812 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:2,work:210,nodes:18,pairs:7,completionMax:25us [02m00s] 6812 ab:aab=a,bab=aaa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaa=a,ba=aaaa,ab=aaaa [02m00s] from: 6812 ab:aab=a,bab=aaa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 6364 ab:aab=a,babbb=a infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=b [02m00s] # 6813 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:121,nodes:10,pairs:5,completionMax:17us [02m00s] 6813 ab:aab=a,bab=aab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6813 ab:aab=a,bab=aab infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6814 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:182,nodes:14,pairs:5,completionMax:24us [02m00s] 6814 ab:aab=a,bba=aab infinite ab - - ab:ab=aa,aaa=a,bba=a [02m00s] from: 6814 ab:aab=a,bba=aab infinite to: 590 ab:aab=a,bba=a infinite a=a,b=b [02m00s] # 6815 solved: rounds:2,rules:2,peak:6,longest:9,steps:3,word:8,work:526,nodes:22,pairs:19,completionMax:59us [02m00s] 6815 ab:aab=a,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 b/a - - ab:bbbbbbbbb=bbb,a=bbbbb [02m00s] from: 6815 ab:aab=a,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b5;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbb,bbbbbb;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=bbbbb,b=b [02m00s] # 6816 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:59,nodes:14,pairs:2,completionMax:10us [02m00s] 6816 ab:aab=a,bbb=aab finite:7;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b3,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbbb=bbb,a=bbb [02m00s] from: 6816 ab:aab=a,bbb=aab finite:7;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b3,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=aaa,b=a [02m00s] # 6817 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:31,nodes:10,pairs:3,completionMax:8us [02m00s] 6817 ab:aab=b,aba=aab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6817 ab:aab=b,aba=aab infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6818 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:2,work:189,nodes:18,pairs:9,completionMax:21us [02m00s] 6818 ab:aab=b,abb=aaa infinite a/b - - ab:aaaaa=aaa,baa=b,aab=b,bb=aaaa [02m00s] # 6819 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:3,completionMax:17us [02m00s] 6819 ab:aab=b,abb=aab infinite ba - - ab:ab=bb,bbb=b [02m00s] from: 6819 ab:aab=b,abb=aab infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [02m00s] # 6820 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [02m00s] 6820 ab:aab=b,baa=aab infinite ab - - ab:aab=b,baa=b [02m00s] from: 6820 ab:aab=b,baa=aab infinite to: 595 ab:aab=b,baa=b infinite a=a,b=b [02m00s] # 6821 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:181,nodes:18,pairs:6,completionMax:19us [02m00s] 6821 ab:aab=b,bab=aaa infinite ab - - ab:aab=b,baa=b,bab=aaa,aaaaa=aaa [02m00s] # 6822 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [02m00s] 6822 ab:aab=b,bab=aab infinite ab - - ab:aab=b,bab=b [02m00s] from: 6822 ab:aab=b,bab=aab infinite to: 597 ab:aab=b,bab=b infinite a=a,b=b [02m00s] # 6823 solved: rounds:4,rules:3,peak:5,longest:4,steps:2,word:0,work:182,nodes:14,pairs:5,completionMax:28us [02m00s] 6823 ab:aab=b,bba=aab infinite ba - - ab:ba=bb,bbb=b,aab=b [02m00s] from: 6823 ab:aab=b,bba=aab infinite to: 590 ab:aab=a,bba=a infinite a=b,b=a [02m00s] # 6824 solved: rounds:2,rules:4,peak:5,longest:7,steps:3,word:4,work:223,nodes:18,pairs:6,completionMax:24us [02m00s] 6824 ab:aab=b,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a5=a3;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aaa=bbb [02m00s] # 6825 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [02m00s] 6825 ab:aab=b,bbb=aab infinite ab - - ab:aab=b,bbb=b [02m00s] from: 6825 ab:aab=b,bbb=aab infinite to: 6397 ab:aab=b,aabbb=b infinite a=a,b=b [02m00s] # 6826 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:6,pairs:0,completionMax:2us [02m00s] 6826 ab:aba=a,abb=aaa infinite ab - - ab:aba=a,abb=aaa [02m00s] # 6827 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [02m00s] 6827 ab:aba=a,abb=aba infinite ab - - ab:aba=a,abb=a [02m00s] from: 6827 ab:aba=a,abb=aba infinite to: 6466 ab:aba=a,ababb=a infinite a=a,b=b [02m00s] # 6828 solved: rounds:3,rules:9,peak:14,longest:5,steps:4,word:0,work:1168,nodes:36,pairs:20,completionMax:95us [02m00s] 6828 ab:aba=a,baa=aab infinite acb aabbb=c frequency:5/1 abc:ca=ac,cb=cc,bc=cc,aab=aac,acc=c,aba=a,baa=aac,bac=c,aaac=aa [02m00s] # 6829 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:5us [02m00s] 6829 ab:aba=a,baa=aba infinite ab - - ab:aba=a,baa=a [02m00s] from: 6829 ab:aba=a,baa=aba infinite to: 6753 ab:aba=a,baab=ab infinite a=a,b=b [02m00s] # 6830 solved: rounds:2,rules:3,peak:4,longest:5,steps:1,word:2,work:105,nodes:12,pairs:11,completionMax:24us [02m00s] 6830 ab:aba=a,bab=aaa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a/b - - ab:aaaaa=a,ba=aaaa,ab=aaaa [02m00s] from: 6830 ab:aba=a,bab=aaa infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 to: 6364 ab:aab=a,babbb=a infinite;commutative:ab:a5=a,ab=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=b [02m00s] # 6831 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:84,nodes:10,pairs:11,completionMax:21us [02m00s] 6831 ab:aba=a,bab=aba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 ab - - ab:ab=aa,ba=aa,aaa=a [02m00s] from: 6831 ab:aba=a,bab=aba infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=a,b=b [02m00s] # 6832 solved: rounds:5,rules:5,peak:7,longest:10,steps:3,word:4,work:1412,nodes:36,pairs:13,completionMax:86us [02m00s] 6832 ab:aba=a,bbb=aaa infinite a/b - - ab:aaaaaaaaa=aaa,baaa=aaaaaaaa,aba=a,aaab=aaaaaaaa,bbb=aaa [02m00s] # 6833 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:4,work:72,nodes:14,pairs:2,completionMax:10us [02m00s] 6833 ab:aba=a,bbb=aba finite:7;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b3,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 b/a - - ab:bbbbbbb=bbb,a=bbb [02m00s] from: 6833 ab:aba=a,bbb=aba finite:7;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b3,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbb,bbbb;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=aaa,b=a [02m00s] # 6834 solved: rounds:3,rules:4,peak:10,longest:7,steps:8,word:4,work:1300,nodes:26,pairs:18,completionMax:77us [02m00s] 6834 ab:aba=b,abb=aaa finite:11;idempotents:1,aaaa;center:1,aa,aaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=baaa,bb=aaaaaa [02m00s] # 6835 solved: rounds:2,rules:3,peak:6,longest:3,steps:2,word:0,work:121,nodes:10,pairs:5,completionMax:21us [02m00s] 6835 ab:aba=b,abb=aba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6835 ab:aba=b,abb=aba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6836 solved: rounds:2,rules:2,peak:4,longest:7,steps:6,word:4,work:281,nodes:22,pairs:6,completionMax:40us [02m00s] 6836 ab:aba=b,baa=aab infinite a/b - - ab:baaaa=b,ab=baaa [02m00s] from: 6836 ab:aba=b,baa=aab infinite to: 6489 ab:aba=b,aaaab=b infinite a=a,b=b [02m00s] # 6837 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:41,nodes:10,pairs:4,completionMax:9us [02m00s] 6837 ab:aba=b,baa=aba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aab=b [02m00s] from: 6837 ab:aba=b,baa=aba infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 593 ab:aab=b,aba=b infinite;commutative:ab:a2b=b;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 6838 solved: rounds:5,rules:4,peak:6,longest:11,steps:15,word:10,work:1063,nodes:38,pairs:12,completionMax:61us [02m00s] 6838 ab:aba=b,bab=aaa finite:19;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaaaaa a/b - - ab:aaaaaaaaaaa=aaa,baaaaaaaa=b,ab=baaaaaaa,bb=aaaa [02m00s] # 6839 solved: rounds:2,rules:3,peak:4,longest:3,steps:1,word:0,work:84,nodes:10,pairs:11,completionMax:13us [02m00s] 6839 ab:aba=b,bab=aba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 ba - - ab:ba=bb,ab=bb,bbb=b [02m00s] from: 6839 ab:aba=b,bab=aba infinite;commutative:ab:ab=b2,b3=b;saturation:a:a2=1;noncancellative:a,b,bb,b;smith:2 to: 588 ab:aab=a,bab=a infinite;commutative:ab:ab=a2,a3=a;saturation:a:a2=1;noncancellative:a,b,aa,a;smith:2 a=b,b=a [02m00s] # 6840 solved: rounds:3,rules:4,peak:10,longest:9,steps:5,word:4,work:1330,nodes:36,pairs:23,completionMax:89us [02m00s] 6840 ab:aba=b,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a5=a3;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbb,ba=bbbb,aaa=bbb [02m00s] from: 6840 ab:aba=b,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a5=a3;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 6824 ab:aab=b,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a5=a3;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [02m00s] # 6841 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:1,work:220,nodes:24,pairs:12,completionMax:45us [02m00s] 6841 ab:aba=b,bbb=aba infinite bc/a ba=c frequency:2/2 abc:cc=bb,bbb=b,bbc=c,cbb=c,ab=bcb,ac=b,ba=c,ca=cbc [02m00s] from: 6841 ab:aba=b,bbb=aba infinite to: 569 ab:aaa=a,bab=a infinite a=b,b=a,c=c [02m00s] # 6842 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:2,work:44,nodes:10,pairs:1,completionMax:7us [02m00s] 6842 ab:abb=a,bbb=abb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b3,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbb;smith:2 b/a - - ab:bbbbb=bbb,a=bbb [02m00s] from: 6842 ab:abb=a,bbb=abb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b3,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbb;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=aaa,b=a [02m00s] # 6843 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:10,pairs:1,completionMax:5us [02m00s] 6843 ab:abb=b,bbb=abb infinite ba - - ab:ab=bb,bbb=b [02m00s] from: 6843 ab:abb=b,bbb=abb infinite to: 4134 ab:aba=aaa,baa=a infinite a=b,b=a [02m00s] # 6844 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:4,work:75,nodes:10,pairs:2,completionMax:10us [02m00s] 6844 ab:bab=a,bbb=bab finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b3,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbb;smith:2 b/a - - ab:bbbbb=bbb,a=bbb [02m00s] from: 6844 ab:bab=a,bbb=bab finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b3,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbb;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=aaa,b=a [02m00s] # 6845 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:4us [02m00s] 6845 ab:bab=b,bbb=bab infinite ab - - ab:bab=b,bbb=b [02m00s] # 6846 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:6us [02m00s] 6846 ab:ab=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6846 ab:ab=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6847 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:5us [02m00s] 6847 ab:ab=aa,aaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6847 ab:ab=aa,aaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6848 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:5us [02m00s] 6848 ab:ab=aa,aaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6848 ab:ab=aa,aaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6849 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:4us [02m00s] 6849 ab:ab=aa,aaaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6849 ab:ab=aa,aaaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6850 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:4us [02m00s] 6850 ab:ab=aa,aaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6850 ab:ab=aa,aaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6851 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:4us [02m00s] 6851 ab:ab=aa,aaabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6851 ab:ab=aa,aaabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6852 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [02m00s] 6852 ab:ab=aa,aaabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6852 ab:ab=aa,aaabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6853 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:7us [02m00s] 6853 ab:ab=aa,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6853 ab:ab=aa,aaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6854 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:6us [02m00s] 6854 ab:ab=aa,aabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6854 ab:ab=aa,aabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6855 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [02m00s] 6855 ab:ab=aa,aabaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6855 ab:ab=aa,aabaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6856 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:4us [02m00s] 6856 ab:ab=aa,aababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6856 ab:ab=aa,aababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6857 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:7us [02m00s] 6857 ab:ab=aa,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6857 ab:ab=aa,aababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6858 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:6us [02m00s] 6858 ab:ab=aa,aabbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6858 ab:ab=aa,aabbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6859 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:6us [02m00s] 6859 ab:ab=aa,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6859 ab:ab=aa,aabbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6860 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:4us [02m00s] 6860 ab:ab=aa,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6860 ab:ab=aa,aabbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6861 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:30,nodes:12,pairs:1,completionMax:7us [02m00s] 6861 ab:ab=aa,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6861 ab:ab=aa,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6862 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:5us [02m00s] 6862 ab:ab=aa,abaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6862 ab:ab=aa,abaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6863 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [02m00s] 6863 ab:ab=aa,abaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6863 ab:ab=aa,abaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6864 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [02m00s] 6864 ab:ab=aa,abaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6864 ab:ab=aa,abaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6865 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:5us [02m00s] 6865 ab:ab=aa,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6865 ab:ab=aa,abaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6866 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:4us [02m00s] 6866 ab:ab=aa,ababaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6866 ab:ab=aa,ababaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6867 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:4us [02m00s] 6867 ab:ab=aa,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6867 ab:ab=aa,ababab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6868 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:7us [02m00s] 6868 ab:ab=aa,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6868 ab:ab=aa,ababba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6869 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:30,nodes:12,pairs:1,completionMax:5us [02m00s] 6869 ab:ab=aa,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6869 ab:ab=aa,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6870 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:7us [02m00s] 6870 ab:ab=aa,abbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6870 ab:ab=aa,abbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6871 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:5us [02m00s] 6871 ab:ab=aa,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6871 ab:ab=aa,abbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6872 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:5us [02m00s] 6872 ab:ab=aa,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6872 ab:ab=aa,abbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6873 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:30,nodes:12,pairs:1,completionMax:7us [02m00s] 6873 ab:ab=aa,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6873 ab:ab=aa,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6874 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:24,nodes:12,pairs:1,completionMax:4us [02m00s] 6874 ab:ab=aa,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6874 ab:ab=aa,abbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6875 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:30,nodes:12,pairs:1,completionMax:4us [02m00s] 6875 ab:ab=aa,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6875 ab:ab=aa,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6876 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:30,nodes:12,pairs:1,completionMax:5us [02m00s] 6876 ab:ab=aa,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6876 ab:ab=aa,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6877 solved: rounds:1,rules:2,peak:3,longest:6,steps:5,word:0,work:36,nodes:12,pairs:1,completionMax:12us [02m00s] 6877 ab:ab=aa,abbbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6877 ab:ab=aa,abbbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6878 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:73,nodes:24,pairs:3,completionMax:23us [02m00s] 6878 ab:ab=aa,baaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6878 ab:ab=aa,baaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6879 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:79,nodes:24,pairs:3,completionMax:19us [02m00s] 6879 ab:ab=aa,baaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6879 ab:ab=aa,baaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6880 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:79,nodes:24,pairs:3,completionMax:19us [02m00s] 6880 ab:ab=aa,baaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6880 ab:ab=aa,baaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6881 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:17us [02m00s] 6881 ab:ab=aa,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6881 ab:ab=aa,baaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6882 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:79,nodes:24,pairs:3,completionMax:18us [02m00s] 6882 ab:ab=aa,baabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6882 ab:ab=aa,baabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6883 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:20us [02m00s] 6883 ab:ab=aa,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6883 ab:ab=aa,baabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6884 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:25us [02m00s] 6884 ab:ab=aa,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6884 ab:ab=aa,baabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6885 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:91,nodes:24,pairs:3,completionMax:25us [02m00s] 6885 ab:ab=aa,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6885 ab:ab=aa,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6886 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:79,nodes:24,pairs:3,completionMax:20us [02m00s] 6886 ab:ab=aa,babaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6886 ab:ab=aa,babaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6887 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:19us [02m00s] 6887 ab:ab=aa,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6887 ab:ab=aa,babaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6888 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:17us [02m00s] 6888 ab:ab=aa,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6888 ab:ab=aa,bababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6889 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:91,nodes:24,pairs:3,completionMax:20us [02m00s] 6889 ab:ab=aa,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6889 ab:ab=aa,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6890 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:24,pairs:3,completionMax:15us [02m00s] 6890 ab:ab=aa,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6890 ab:ab=aa,babbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6891 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:91,nodes:24,pairs:3,completionMax:15us [02m00s] 6891 ab:ab=aa,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6891 ab:ab=aa,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6892 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:91,nodes:24,pairs:3,completionMax:15us [02m00s] 6892 ab:ab=aa,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6892 ab:ab=aa,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6893 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:97,nodes:24,pairs:3,completionMax:14us [02m00s] 6893 ab:ab=aa,babbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6893 ab:ab=aa,babbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6894 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:114,nodes:24,pairs:4,completionMax:23us [02m00s] 6894 ab:ab=aa,bbaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6894 ab:ab=aa,bbaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6895 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:120,nodes:24,pairs:4,completionMax:24us [02m00s] 6895 ab:ab=aa,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6895 ab:ab=aa,bbaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6896 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:120,nodes:24,pairs:4,completionMax:21us [02m00s] 6896 ab:ab=aa,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6896 ab:ab=aa,bbaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6897 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:126,nodes:24,pairs:4,completionMax:27us [02m00s] 6897 ab:ab=aa,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6897 ab:ab=aa,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6898 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:120,nodes:24,pairs:4,completionMax:31us [02m00s] 6898 ab:ab=aa,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6898 ab:ab=aa,bbabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6899 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:126,nodes:24,pairs:4,completionMax:17us [02m00s] 6899 ab:ab=aa,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6899 ab:ab=aa,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6900 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:126,nodes:24,pairs:4,completionMax:18us [02m00s] 6900 ab:ab=aa,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6900 ab:ab=aa,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6901 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:132,nodes:24,pairs:4,completionMax:27us [02m00s] 6901 ab:ab=aa,bbabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6901 ab:ab=aa,bbabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6902 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:160,nodes:24,pairs:5,completionMax:23us [02m00s] 6902 ab:ab=aa,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6902 ab:ab=aa,bbbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6903 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:166,nodes:24,pairs:5,completionMax:21us [02m00s] 6903 ab:ab=aa,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6903 ab:ab=aa,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6904 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:166,nodes:24,pairs:5,completionMax:25us [02m00s] 6904 ab:ab=aa,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6904 ab:ab=aa,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6905 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:172,nodes:24,pairs:5,completionMax:21us [02m00s] 6905 ab:ab=aa,bbbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6905 ab:ab=aa,bbbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6906 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:208,nodes:24,pairs:6,completionMax:32us [02m00s] 6906 ab:ab=aa,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6906 ab:ab=aa,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6907 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:214,nodes:24,pairs:6,completionMax:20us [02m00s] 6907 ab:ab=aa,bbbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6907 ab:ab=aa,bbbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6908 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:0,work:255,nodes:24,pairs:7,completionMax:23us [02m00s] 6908 ab:ab=aa,bbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa ab - - ab:b=a,aaaaaa=1 [02m00s] from: 6908 ab:ab=aa,bbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a=b,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=b [02m00s] # 6909 solved: rounds:1,rules:3,peak:3,longest:7,steps:5,word:0,work:58,nodes:24,pairs:1,completionMax:10us [02m00s] 6909 ab:ab=aa,bbbbbb=1 finite:42;idempotents:1,aaaaaa,baaaaa,bbaaaa,bbbaaa,bbbbaa,bbbbba ab - - ab:ab=aa,bbbbbb=1,aaaaaaa=a [02m00s] # 6910 solved: rounds:0,rules:2,peak:2,longest:6,steps:6,word:0,work:41,nodes:14,pairs:0,completionMax:5us [02m00s] 6910 ab:ba=ab,aaaaaa=1 infinite;commutative:ab:a6=1;saturation:ab:b6=1;cancellative;smith:6,0 ab - - ab:ba=ab,aaaaaa=1 [02m00s] # 6911 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:41,nodes:14,pairs:0,completionMax:6us [02m00s] 6911 ab:ba=ab,aaaaab=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa ab - - ab:ba=ab,aaaaab=1 [02m00s] from: 6911 ab:ba=ab,aaaaab=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaa [02m00s] # 6912 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:47,nodes:14,pairs:0,completionMax:1us [02m00s] 6912 ab:ba=ab,aaaaba=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa ab - - ab:ba=ab,aaaaab=1 [02m00s] from: 6912 ab:ba=ab,aaaaba=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaa [02m00s] # 6913 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:41,nodes:14,pairs:0,completionMax:6us [02m00s] 6913 ab:ba=ab,aaaabb=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6913 ab:ba=ab,aaaabb=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6914 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:53,nodes:14,pairs:0,completionMax:3us [02m00s] 6914 ab:ba=ab,aaabaa=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa ab - - ab:ba=ab,aaaaab=1 [02m00s] from: 6914 ab:ba=ab,aaabaa=1 infinite;commutative:ab:a5b=1;saturation:ab:ab5=1;cancellative;smith:0;group:a-aaaab,b-aaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaa [02m00s] # 6915 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:47,nodes:14,pairs:0,completionMax:3us [02m00s] 6915 ab:ba=ab,aaabab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6915 ab:ba=ab,aaabab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6916 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:53,nodes:14,pairs:0,completionMax:2us [02m00s] 6916 ab:ba=ab,aaabba=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6916 ab:ba=ab,aaabba=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6917 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:41,nodes:14,pairs:0,completionMax:2us [02m00s] 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] # 6918 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:53,nodes:14,pairs:0,completionMax:8us [02m00s] 6918 ab:ba=ab,aabaab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6918 ab:ba=ab,aabaab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6919 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:59,nodes:14,pairs:0,completionMax:9us [02m00s] 6919 ab:ba=ab,aababa=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6919 ab:ba=ab,aababa=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6920 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:47,nodes:14,pairs:0,completionMax:11us [02m00s] 6920 ab:ba=ab,aababb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6920 ab:ba=ab,aababb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6921 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:65,nodes:14,pairs:0,completionMax:6us [02m00s] 6921 ab:ba=ab,aabbaa=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6921 ab:ba=ab,aabbaa=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6922 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:53,nodes:14,pairs:0,completionMax:9us [02m00s] 6922 ab:ba=ab,aabbab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6922 ab:ba=ab,aabbab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6923 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:59,nodes:14,pairs:0,completionMax:2us [02m00s] 6923 ab:ba=ab,aabbba=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6923 ab:ba=ab,aabbba=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6924 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:59,nodes:14,pairs:0,completionMax:3us [02m00s] 6924 ab:ba=ab,abaaab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6924 ab:ba=ab,abaaab=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6925 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:65,nodes:14,pairs:0,completionMax:3us [02m00s] 6925 ab:ba=ab,abaaba=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab ab - - ab:ba=ab,aaaabb=1 [02m00s] from: 6925 ab:ba=ab,abaaba=1 infinite;commutative:ab:a4b2=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-aaabb,b-aaaab to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=b,b=aaab [02m00s] # 6926 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:59,nodes:14,pairs:0,completionMax:5us [02m00s] 6926 ab:ba=ab,ababab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6926 ab:ba=ab,ababab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6927 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:65,nodes:14,pairs:0,completionMax:2us [02m00s] 6927 ab:ba=ab,ababba=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6927 ab:ba=ab,ababba=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6928 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:65,nodes:14,pairs:0,completionMax:4us [02m00s] 6928 ab:ba=ab,abbaab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb ab - - ab:ba=ab,aaabbb=1 [02m00s] from: 6928 ab:ba=ab,abbaab=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb to: 6917 ab:ba=ab,aaabbb=1 infinite;commutative:ab:a3b3=1;saturation:ab:a3b3=1;cancellative;smith:3,0;group:a-aabbb,b-aaabb a=a,b=b [02m00s] # 6929 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:65,nodes:14,pairs:0,completionMax:2us [02m00s] 6929 ab:ba=ab,abbbba=1 infinite;commutative:ab:a2b4=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-abbbb,b-aabbb ab - - ab:ba=ab,aabbbb=1 [02m00s] from: 6929 ab:ba=ab,abbbba=1 infinite;commutative:ab:a2b4=1;saturation:ab:a2b4=1;cancellative;smith:2,0;group:a-abbbb,b-aabbb to: 486 ab:aabb=1,baba=1 infinite;commutative:ab:a2b2=1;saturation:ab:a2b2=1;cancellative;smith:2,0;group:a-abb,b-aab a=aaab,b=b [02m00s] # 6930 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:50,nodes:16,pairs:1,completionMax:10us [02m00s] 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] # 6931 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:6,work:25,nodes:24,pairs:4,completionMax:19us [02m00s] 6931 ab:bb=aa,aaaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6931 ab:bb=aa,aaaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6932 solved: rounds:3,rules:2,peak:6,longest:12,steps:13,word:6,work:1312,nodes:34,pairs:15,completionMax:76us [02m00s] 6932 ab:bb=aa,aaaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6932 ab:bb=aa,aaaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6933 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:56,nodes:16,pairs:1,completionMax:8us [02m00s] 6933 ab:bb=aa,aaaabb=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6933 ab:bb=aa,aaaabb=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6934 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:12,work:415,nodes:32,pairs:13,completionMax:50us [02m00s] 6934 ab:bb=aa,aaabaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6934 ab:bb=aa,aaabaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6935 solved: rounds:2,rules:3,peak:5,longest:12,steps:8,word:6,work:838,nodes:36,pairs:7,completionMax:51us [02m00s] 6935 ab:bb=aa,aaabab=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaaaa,bb=aa [02m00s] # 6936 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:56,nodes:16,pairs:1,completionMax:9us [02m00s] 6936 ab:bb=aa,aaabba=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6936 ab:bb=aa,aaabba=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6937 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:6,work:31,nodes:24,pairs:4,completionMax:18us [02m00s] 6937 ab:bb=aa,aaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6937 ab:bb=aa,aaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6938 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:210,nodes:24,pairs:4,completionMax:29us [02m00s] 6938 ab:bb=aa,aabaab=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6938 ab:bb=aa,aabaab=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6939 solved: rounds:2,rules:3,peak:6,longest:14,steps:8,word:6,work:1557,nodes:56,pairs:8,completionMax:80us [02m00s] 6939 ab:bb=aa,aababa=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaaaa,bb=aa [02m00s] from: 6939 ab:bb=aa,aababa=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa to: 6935 ab:bb=aa,aaabab=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a=a,b=b [02m00s] # 6940 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:12,work:520,nodes:32,pairs:11,completionMax:53us [02m00s] 6940 ab:bb=aa,aababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6940 ab:bb=aa,aababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6941 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:56,nodes:16,pairs:1,completionMax:10us [02m00s] 6941 ab:bb=aa,aabbaa=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6941 ab:bb=aa,aabbaa=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6942 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:6,work:31,nodes:24,pairs:4,completionMax:17us [02m00s] 6942 ab:bb=aa,aabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6942 ab:bb=aa,aabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6943 solved: rounds:3,rules:2,peak:6,longest:12,steps:13,word:6,work:1318,nodes:34,pairs:15,completionMax:73us [02m00s] 6943 ab:bb=aa,aabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6943 ab:bb=aa,aabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6944 solved: rounds:2,rules:3,peak:6,longest:13,steps:8,word:6,work:969,nodes:38,pairs:7,completionMax:74us [02m00s] 6944 ab:bb=aa,abaaab=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaaaa,bb=aa [02m00s] from: 6944 ab:bb=aa,abaaab=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa to: 6935 ab:bb=aa,aaabab=1 finite:24;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a=a,b=b [02m00s] # 6945 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:117,nodes:16,pairs:5,completionMax:19us [02m00s] 6945 ab:bb=aa,abaaba=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6945 ab:bb=aa,abaaba=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6946 solved: rounds:3,rules:4,peak:7,longest:14,steps:11,word:6,work:1920,nodes:60,pairs:13,completionMax:176us [02m00s] 6946 ab:bb=aa,ababab=1 finite:36;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,aab=baa,bb=aa,bab=abaaaaaaa [02m00s] # 6947 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:12,work:452,nodes:32,pairs:9,completionMax:45us [02m00s] 6947 ab:bb=aa,ababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6947 ab:bb=aa,ababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6948 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:6,work:31,nodes:24,pairs:4,completionMax:24us [02m00s] 6948 ab:bb=aa,abbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 6948 ab:bb=aa,abbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=1,a=b7;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbb,b=b [02m00s] # 6949 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:62,nodes:16,pairs:1,completionMax:12us [02m00s] 6949 ab:bb=aa,abbbba=1 infinite;group:a-aaaaa,b-aaaab ab - - ab:bb=aa,baa=aab,aaaaaa=1 [02m00s] from: 6949 ab:bb=aa,abbbba=1 infinite;group:a-aaaaa,b-aaaab to: 6930 ab:bb=aa,aaaaaa=1 infinite;group:a-aaaaa,b-aaaab a=a,b=b [02m00s] # 6950 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:5us [02m00s] 6950 ab:ab=aa,aaaaa=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] # 6951 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:1,completionMax:6us [02m00s] 6951 ab:ab=aa,aaaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6951 ab:ab=aa,aaaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6952 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:4us [02m00s] 6952 ab:ab=aa,aaaab=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6952 ab:ab=aa,aaaab=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6953 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:12,pairs:1,completionMax:5us [02m00s] 6953 ab:ab=aa,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6953 ab:ab=aa,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6954 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:3us [02m00s] 6954 ab:ab=aa,aaaba=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6954 ab:ab=aa,aaaba=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6955 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:12,pairs:1,completionMax:9us [02m00s] 6955 ab:ab=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6955 ab:ab=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6956 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [02m00s] 6956 ab:ab=aa,aaabb=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6956 ab:ab=aa,aaabb=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6957 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:5us [02m00s] 6957 ab:ab=aa,aaabb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6957 ab:ab=aa,aaabb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6958 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:3us [02m00s] 6958 ab:ab=aa,aabaa=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6958 ab:ab=aa,aabaa=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6959 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:12,pairs:1,completionMax:4us [02m00s] 6959 ab:ab=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6959 ab:ab=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6960 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [02m00s] 6960 ab:ab=aa,aabab=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6960 ab:ab=aa,aabab=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6961 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:4us [02m00s] 6961 ab:ab=aa,aabab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6961 ab:ab=aa,aabab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6962 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:2us [02m00s] 6962 ab:ab=aa,aabba=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6962 ab:ab=aa,aabba=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6963 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:7us [02m00s] 6963 ab:ab=aa,aabba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6963 ab:ab=aa,aabba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6964 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:32,nodes:10,pairs:0,completionMax:4us [02m00s] 6964 ab:ab=aa,aabbb=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6964 ab:ab=aa,aabbb=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6965 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:6us [02m00s] 6965 ab:ab=aa,aabbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6965 ab:ab=aa,aabbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6966 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:4us [02m00s] 6966 ab:ab=aa,abaaa=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6966 ab:ab=aa,abaaa=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6967 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:12,pairs:1,completionMax:6us [02m00s] 6967 ab:ab=aa,abaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6967 ab:ab=aa,abaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6968 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [02m00s] 6968 ab:ab=aa,abaab=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6968 ab:ab=aa,abaab=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6969 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:7us [02m00s] 6969 ab:ab=aa,abaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6969 ab:ab=aa,abaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6970 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:5us [02m00s] 6970 ab:ab=aa,ababa=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6970 ab:ab=aa,ababa=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6971 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:5us [02m00s] 6971 ab:ab=aa,ababa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6971 ab:ab=aa,ababa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6972 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:32,nodes:10,pairs:0,completionMax:2us [02m00s] 6972 ab:ab=aa,ababb=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6972 ab:ab=aa,ababb=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6973 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:6us [02m00s] 6973 ab:ab=aa,ababb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6973 ab:ab=aa,ababb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6974 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [02m00s] 6974 ab:ab=aa,abbaa=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6974 ab:ab=aa,abbaa=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6975 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:9us [02m00s] 6975 ab:ab=aa,abbaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6975 ab:ab=aa,abbaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6976 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:32,nodes:10,pairs:0,completionMax:4us [02m00s] 6976 ab:ab=aa,abbab=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6976 ab:ab=aa,abbab=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6977 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:6us [02m00s] 6977 ab:ab=aa,abbab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6977 ab:ab=aa,abbab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6978 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:32,nodes:10,pairs:0,completionMax:3us [02m00s] 6978 ab:ab=aa,abbba=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6978 ab:ab=aa,abbba=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6979 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:0,work:39,nodes:12,pairs:1,completionMax:7us [02m00s] 6979 ab:ab=aa,abbba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6979 ab:ab=aa,abbba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6980 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:37,nodes:10,pairs:0,completionMax:3us [02m00s] 6980 ab:ab=aa,abbbb=a infinite ab - - ab:ab=aa,aaaaa=a [02m00s] from: 6980 ab:ab=aa,abbbb=a infinite to: 6950 ab:ab=aa,aaaaa=a infinite a=a,b=b [02m00s] # 6981 solved: rounds:1,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:1,completionMax:7us [02m00s] 6981 ab:ab=aa,abbbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaaa [02m00s] from: 6981 ab:ab=aa,abbbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a5;saturation:a:a4=1;noncancellative:a,aaaaa,aa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaaa [02m00s] # 6982 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:197,nodes:20,pairs:6,completionMax:36us [02m00s] 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] # 6983 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:102,nodes:14,pairs:7,completionMax:18us [02m00s] 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] # 6984 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:202,nodes:20,pairs:6,completionMax:35us [02m00s] 6984 ab:ab=aa,baaab=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6984 ab:ab=aa,baaab=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6985 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:97,nodes:14,pairs:7,completionMax:17us [02m00s] 6985 ab:ab=aa,baaab=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6985 ab:ab=aa,baaab=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6986 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:202,nodes:20,pairs:6,completionMax:30us [02m00s] 6986 ab:ab=aa,baaba=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6986 ab:ab=aa,baaba=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6987 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:62,nodes:12,pairs:5,completionMax:13us [02m00s] 6987 ab:ab=aa,baaba=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6987 ab:ab=aa,baaba=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6988 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:207,nodes:20,pairs:6,completionMax:36us [02m00s] 6988 ab:ab=aa,baabb=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6988 ab:ab=aa,baabb=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6989 solved: rounds:4,rules:3,peak:7,longest:6,steps:2,word:0,work:433,nodes:20,pairs:14,completionMax:47us [02m00s] 6989 ab:ab=aa,baabb=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6989 ab:ab=aa,baabb=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6990 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:202,nodes:20,pairs:6,completionMax:29us [02m00s] 6990 ab:ab=aa,babaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6990 ab:ab=aa,babaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6991 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:97,nodes:14,pairs:7,completionMax:15us [02m00s] 6991 ab:ab=aa,babaa=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6991 ab:ab=aa,babaa=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6992 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:207,nodes:20,pairs:6,completionMax:27us [02m00s] 6992 ab:ab=aa,babab=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6992 ab:ab=aa,babab=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6993 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:92,nodes:14,pairs:7,completionMax:17us [02m00s] 6993 ab:ab=aa,babab=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6993 ab:ab=aa,babab=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6994 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:207,nodes:20,pairs:6,completionMax:33us [02m00s] 6994 ab:ab=aa,babba=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6994 ab:ab=aa,babba=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6995 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:57,nodes:12,pairs:5,completionMax:19us [02m00s] 6995 ab:ab=aa,babba=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6995 ab:ab=aa,babba=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6996 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:212,nodes:20,pairs:6,completionMax:27us [02m00s] 6996 ab:ab=aa,babbb=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 ab - - ab:ab=aa,ba=aa,aaaaa=a [02m00s] from: 6996 ab:ab=aa,babbb=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 to: 6982 ab:ab=aa,baaaa=a infinite;commutative:ab:ab=a2,a5=a;saturation:a:a4=1;noncancellative:a,b,aa,aaa;smith:4 a=a,b=b [02m00s] # 6997 solved: rounds:4,rules:3,peak:7,longest:6,steps:2,word:0,work:428,nodes:20,pairs:14,completionMax:42us [02m00s] 6997 ab:ab=aa,babbb=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6997 ab:ab=aa,babbb=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 6998 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:244,nodes:20,pairs:5,completionMax:28us [02m00s] 6998 ab:ab=aa,bbaaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaaa=a [02m00s] # 6999 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:54,nodes:12,pairs:4,completionMax:11us [02m00s] 6999 ab:ab=aa,bbaaa=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 6999 ab:ab=aa,bbaaa=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7000 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:249,nodes:20,pairs:5,completionMax:41us [02m00s] 7000 ab:ab=aa,bbaab=a infinite ab - - ab:ab=aa,bba=aaa,aaaaa=a [02m00s] from: 7000 ab:ab=aa,bbaab=a infinite to: 6998 ab:ab=aa,bbaaa=a infinite a=a,b=b [02m00s] # 7001 solved: rounds:3,rules:3,peak:7,longest:5,steps:2,word:0,work:667,nodes:22,pairs:18,completionMax:58us [02m00s] 7001 ab:ab=aa,bbaab=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7001 ab:ab=aa,bbaab=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7002 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:249,nodes:20,pairs:5,completionMax:30us [02m00s] 7002 ab:ab=aa,bbaba=a infinite ab - - ab:ab=aa,bba=aaa,aaaaa=a [02m00s] from: 7002 ab:ab=aa,bbaba=a infinite to: 6998 ab:ab=aa,bbaaa=a infinite a=a,b=b [02m00s] # 7003 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:49,nodes:12,pairs:4,completionMax:11us [02m00s] 7003 ab:ab=aa,bbaba=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7003 ab:ab=aa,bbaba=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7004 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:254,nodes:20,pairs:5,completionMax:28us [02m00s] 7004 ab:ab=aa,bbabb=a infinite ab - - ab:ab=aa,bba=aaa,aaaaa=a [02m00s] from: 7004 ab:ab=aa,bbabb=a infinite to: 6998 ab:ab=aa,bbaaa=a infinite a=a,b=b [02m00s] # 7005 solved: rounds:3,rules:3,peak:7,longest:5,steps:2,word:0,work:662,nodes:22,pairs:18,completionMax:57us [02m00s] 7005 ab:ab=aa,bbabb=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7005 ab:ab=aa,bbabb=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7006 solved: rounds:3,rules:3,peak:4,longest:6,steps:3,word:0,work:189,nodes:20,pairs:3,completionMax:26us [02m00s] 7006 ab:ab=aa,bbbaa=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaa=a [02m00s] # 7007 solved: rounds:3,rules:3,peak:4,longest:5,steps:1,word:0,work:87,nodes:14,pairs:6,completionMax:24us [02m00s] 7007 ab:ab=aa,bbbaa=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7007 ab:ab=aa,bbbaa=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7008 solved: rounds:3,rules:3,peak:4,longest:6,steps:3,word:0,work:194,nodes:20,pairs:3,completionMax:39us [02m00s] 7008 ab:ab=aa,bbbab=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaa=a [02m00s] from: 7008 ab:ab=aa,bbbab=a infinite to: 7006 ab:ab=aa,bbbaa=a infinite a=a,b=b [02m00s] # 7009 solved: rounds:3,rules:3,peak:4,longest:5,steps:1,word:0,work:82,nodes:14,pairs:6,completionMax:26us [02m00s] 7009 ab:ab=aa,bbbab=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7009 ab:ab=aa,bbbab=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7010 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:69,nodes:20,pairs:1,completionMax:6us [02m00s] 7010 ab:ab=aa,bbbba=a infinite ab - - ab:ab=aa,bbbba=a,aaaaaa=aa [02m00s] # 7011 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:34,nodes:12,pairs:3,completionMax:7us [02m00s] 7011 ab:ab=aa,bbbba=b finite:10;idempotents:1,abbb,bbbb ba - - ab:ba=bb,aa=ab,bbbbb=b [02m00s] from: 7011 ab:ab=aa,bbbba=b finite:10;idempotents:1,abbb,bbbb to: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb a=a,b=b [02m00s] # 7012 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:8,work:194,nodes:20,pairs:2,completionMax:20us [02m00s] 7012 ab:ab=aa,bbbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b6,a=b5;saturation:a:a4=1;noncancellative:bbbbb,b,bbbbbb,bbbbbbb;smith:4 b/a - - ab:bbbbbbbbbb=bbbbbb,a=bbbbb [02m00s] from: 7012 ab:ab=aa,bbbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b6,a=b5;saturation:a:a4=1;noncancellative:bbbbb,b,bbbbbb,bbbbbbb;smith:4 to: 6587 ab:aaa=b,abbb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 a=aaaaa,b=a [02m00s] # 7013 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:0,work:69,nodes:20,pairs:1,completionMax:10us [02m00s] 7013 ab:ab=aa,bbbbb=b finite:30;idempotents:1,aaaa,baaa,bbaa,bbbb,bbbaaaaa,bbbbaaaa ab - - ab:ab=aa,bbbbb=b,aaaaaa=aa [02m00s] # 7014 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:0,work:41,nodes:12,pairs:0,completionMax:3us [02m00s] 7014 ab:ba=ab,aaaaa=a infinite;commutative:ab:a5=a;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 ab - - ab:ba=ab,aaaaa=a [02m00s] # 7015 solved: rounds:0,rules:1,peak:2,longest:5,steps:1,word:4,work:1,nodes:4,pairs:0,completionMax:2us [02m00s] 7015 ab:ba=ab,aaaaa=b infinite;commutative:ab:b=a5;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaaaa [02m00s] from: 7015 ab:ba=ab,aaaaa=b infinite;commutative:ab:b=a5;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbbbb [02m00s] # 7016 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:31,nodes:12,pairs:0,completionMax:2us [02m00s] 7016 ab:ba=ab,aaaab=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaab=a [02m00s] # 7017 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:31,nodes:12,pairs:0,completionMax:2us [02m00s] 7017 ab:ba=ab,aaaab=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 ab - - ab:ba=ab,aaaab=b [02m00s] # 7018 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:36,nodes:12,pairs:0,completionMax:4us [02m00s] 7018 ab:ba=ab,aaaba=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaab=a [02m00s] from: 7018 ab:ba=ab,aaaba=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7016 ab:ba=ab,aaaab=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7019 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:36,nodes:12,pairs:0,completionMax:2us [02m00s] 7019 ab:ba=ab,aaaba=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 ab - - ab:ba=ab,aaaab=b [02m00s] from: 7019 ab:ba=ab,aaaba=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 to: 7017 ab:ba=ab,aaaab=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 a=a,b=b [02m00s] # 7020 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:31,nodes:12,pairs:0,completionMax:2us [02m00s] 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaabb=a [02m00s] # 7021 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:31,nodes:12,pairs:0,completionMax:2us [02m00s] 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=b [02m00s] # 7022 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:41,nodes:12,pairs:0,completionMax:2us [02m00s] 7022 ab:ba=ab,aabaa=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaab=a [02m00s] from: 7022 ab:ba=ab,aabaa=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7016 ab:ba=ab,aaaab=a infinite;commutative:ab:a4b=a;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7023 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:41,nodes:12,pairs:0,completionMax:2us [02m00s] 7023 ab:ba=ab,aabaa=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 ab - - ab:ba=ab,aaaab=b [02m00s] from: 7023 ab:ba=ab,aabaa=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 to: 7017 ab:ba=ab,aaaab=b infinite;commutative:ab:a4b=b;saturation:ab:b4=1;noncancellative:aaaa,1,ab,ab;smith:4,0 a=a,b=b [02m00s] # 7024 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:36,nodes:12,pairs:0,completionMax:2us [02m00s] 7024 ab:ba=ab,aabab=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaabb=a [02m00s] from: 7024 ab:ba=ab,aabab=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 to: 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7025 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:36,nodes:12,pairs:0,completionMax:1us [02m00s] 7025 ab:ba=ab,aabab=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=b [02m00s] from: 7025 ab:ba=ab,aabab=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7026 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:41,nodes:12,pairs:0,completionMax:2us [02m00s] 7026 ab:ba=ab,aabba=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaabb=a [02m00s] from: 7026 ab:ba=ab,aabba=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 to: 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7027 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:41,nodes:12,pairs:0,completionMax:2us [02m00s] 7027 ab:ba=ab,aabba=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=b [02m00s] from: 7027 ab:ba=ab,aabba=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7028 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:41,nodes:12,pairs:0,completionMax:1us [02m00s] 7028 ab:ba=ab,abaab=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaabb=a [02m00s] from: 7028 ab:ba=ab,abaab=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 to: 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7029 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:41,nodes:12,pairs:0,completionMax:1us [02m00s] 7029 ab:ba=ab,abaab=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=b [02m00s] from: 7029 ab:ba=ab,abaab=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7030 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:46,nodes:12,pairs:0,completionMax:3us [02m00s] 7030 ab:ba=ab,ababa=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaabb=a [02m00s] from: 7030 ab:ba=ab,ababa=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 to: 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7031 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:46,nodes:12,pairs:0,completionMax:2us [02m00s] 7031 ab:ba=ab,ababa=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=b [02m00s] from: 7031 ab:ba=ab,ababa=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 to: 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7032 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:46,nodes:12,pairs:0,completionMax:2us [02m00s] 7032 ab:ba=ab,abbba=a infinite;commutative:ab:a2b3=a;saturation:ab:ab3=1;noncancellative:abbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabbb=a [02m00s] from: 7032 ab:ba=ab,abbba=a infinite;commutative:ab:a2b3=a;saturation:ab:ab3=1;noncancellative:abbb,1,ab,ab;smith:0 to: 7021 ab:ba=ab,aaabb=b infinite;commutative:ab:a3b2=b;saturation:ab:ab3=1;noncancellative:aaab,1,ab,ab;smith:0 a=b,b=a [02m00s] # 7033 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:46,nodes:12,pairs:0,completionMax:2us [02m00s] 7033 ab:ba=ab,abbba=b infinite;commutative:ab:a2b3=b;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aabbb=b [02m00s] from: 7033 ab:ba=ab,abbba=b infinite;commutative:ab:a2b3=b;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 to: 7020 ab:ba=ab,aaabb=a infinite;commutative:ab:a3b2=a;saturation:ab:a2b2=1;noncancellative:aabb,1,ab,ab;smith:2,0 a=b,b=a [02m00s] # 7034 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:141,nodes:16,pairs:2,completionMax:13us [02m00s] 7034 ab:bb=aa,aaaaa=a infinite ba - - ab:aa=bb,abb=bba,bbbba=a,bbbbbb=bb [02m00s] # 7035 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:61,nodes:20,pairs:2,completionMax:12us [02m00s] 7035 ab:bb=aa,aaaaa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaaaa [02m00s] from: 7035 ab:bb=aa,aaaaa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaaaa [02m00s] # 7036 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:4,work:71,nodes:20,pairs:2,completionMax:9us [02m00s] 7036 ab:bb=aa,aaaab=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbb [02m00s] from: 7036 ab:bb=aa,aaaab=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaa,b=a [02m00s] # 7037 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:131,nodes:16,pairs:2,completionMax:10us [02m00s] 7037 ab:bb=aa,aaaab=b infinite ab - - ab:bb=aa,baa=aab,aaaab=b,aaaaaa=aa [02m00s] from: 7037 ab:bb=aa,aaaab=b infinite to: 7034 ab:bb=aa,aaaaa=a infinite a=b,b=a [02m00s] # 7038 solved: rounds:3,rules:2,peak:7,longest:31,steps:9,word:24,work:7031,nodes:72,pairs:87,completionMax:345us [02m00s] 7038 ab:bb=aa,aaaba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbb [02m00s] from: 7038 ab:bb=aa,aaaba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaa,b=a [02m00s] # 7039 solved: rounds:2,rules:3,peak:4,longest:9,steps:13,word:4,work:298,nodes:20,pairs:7,completionMax:40us [02m00s] 7039 ab:bb=aa,aaaba=b finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbbbb,aa=bb [02m00s] # 7040 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:180,nodes:16,pairs:4,completionMax:16us [02m00s] 7040 ab:bb=aa,aaabb=a infinite ba - - ab:aa=bb,abb=bba,bbbba=a,bbbbbb=bb [02m00s] from: 7040 ab:bb=aa,aaabb=a infinite to: 7034 ab:bb=aa,aaaaa=a infinite a=a,b=b [02m00s] # 7041 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:66,nodes:20,pairs:2,completionMax:8us [02m00s] 7041 ab:bb=aa,aaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaaaa [02m00s] from: 7041 ab:bb=aa,aaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaaaa [02m00s] # 7042 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:4,work:71,nodes:20,pairs:2,completionMax:12us [02m00s] 7042 ab:bb=aa,aabaa=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbb [02m00s] from: 7042 ab:bb=aa,aabaa=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaa,b=a [02m00s] # 7043 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:175,nodes:16,pairs:4,completionMax:22us [02m00s] 7043 ab:bb=aa,aabaa=b infinite ab - - ab:bb=aa,baa=aab,aaaab=b,aaaaaa=aa [02m00s] from: 7043 ab:bb=aa,aabaa=b infinite to: 7034 ab:bb=aa,aaaaa=a infinite a=b,b=a [02m00s] # 7044 solved: rounds:2,rules:3,peak:4,longest:9,steps:13,word:4,work:293,nodes:20,pairs:7,completionMax:29us [02m00s] 7044 ab:bb=aa,aabab=a finite:18;idempotents:1,aaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,ab=baaaaa,bb=aa [02m00s] from: 7044 ab:bb=aa,aabab=a finite:18;idempotents:1,aaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa to: 7039 ab:bb=aa,aaaba=b finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb a=b,b=a [02m00s] # 7045 solved: rounds:3,rules:2,peak:7,longest:31,steps:9,word:24,work:7026,nodes:72,pairs:87,completionMax:430us [02m00s] 7045 ab:bb=aa,aabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaaaa [02m00s] from: 7045 ab:bb=aa,aabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaaaa [02m00s] # 7046 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:136,nodes:16,pairs:2,completionMax:15us [02m00s] 7046 ab:bb=aa,aabba=a infinite ba - - ab:aa=bb,abb=bba,bbbba=a,bbbbbb=bb [02m00s] from: 7046 ab:bb=aa,aabba=a infinite to: 7034 ab:bb=aa,aaaaa=a infinite a=a,b=b [02m00s] # 7047 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:66,nodes:20,pairs:2,completionMax:12us [02m00s] 7047 ab:bb=aa,aabba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaaaa [02m00s] from: 7047 ab:bb=aa,aabba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaaaa [02m00s] # 7048 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:217,nodes:20,pairs:3,completionMax:24us [02m00s] 7048 ab:bb=aa,abaab=a infinite ba - - ab:aa=bb,abb=bba,bbbba=a,bbbbbb=bb [02m00s] from: 7048 ab:bb=aa,abaab=a infinite to: 7034 ab:bb=aa,aaaaa=a infinite a=a,b=b [02m00s] # 7049 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:4,work:656,nodes:32,pairs:17,completionMax:87us [02m00s] 7049 ab:bb=aa,abaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aaaaa [02m00s] from: 7049 ab:bb=aa,abaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a5;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aaaaa [02m00s] # 7050 solved: rounds:4,rules:5,peak:6,longest:10,steps:7,word:4,work:1034,nodes:28,pairs:17,completionMax:57us [02m00s] 7050 ab:bb=aa,ababa=a finite:26;idempotents:1,abab,baba,aaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaaa=aa,abaa=baaaaaaa,aab=baa,bb=aa,ababa=a [02m00s] # 7051 solved: rounds:3,rules:5,peak:6,longest:10,steps:5,word:4,work:901,nodes:52,pairs:11,completionMax:60us [02m00s] 7051 ab:bb=aa,ababa=b finite:26;idempotents:1,aaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaaa=aa,baaaaaaaa=b,aab=baa,bb=aa,bab=abaaaaa [02m00s] # 7052 solved: rounds:3,rules:2,peak:6,longest:13,steps:3,word:12,work:528,nodes:24,pairs:19,completionMax:48us [02m00s] 7052 ab:bb=aa,abbba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbb [02m00s] from: 7052 ab:bb=aa,abbba=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b5;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbb,bbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaa,b=a [02m00s] # 7053 solved: rounds:2,rules:3,peak:5,longest:11,steps:13,word:8,work:613,nodes:36,pairs:11,completionMax:47us [02m00s] 7053 ab:bb=aa,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbbbb,aa=bb [02m00s] from: 7053 ab:bb=aa,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb to: 7039 ab:bb=aa,aaaba=b finite:18;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb a=a,b=b [02m00s] # 7054 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:23,nodes:8,pairs:0,completionMax:4us [02m00s] 7054 ab:ab=aa,aaaa=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] # 7055 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:25,nodes:8,pairs:0,completionMax:2us [02m00s] 7055 ab:ab=aa,aaaa=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7055 ab:ab=aa,aaaa=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7056 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:73,nodes:12,pairs:1,completionMax:8us [02m00s] 7056 ab:ab=aa,aaaa=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] # 7057 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:234,nodes:18,pairs:4,completionMax:23us [02m00s] 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] # 7058 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:3us [02m00s] 7058 ab:ab=aa,aaab=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7058 ab:ab=aa,aaab=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7059 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:2us [02m00s] 7059 ab:ab=aa,aaab=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7059 ab:ab=aa,aaab=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7060 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:77,nodes:12,pairs:1,completionMax:17us [02m00s] 7060 ab:ab=aa,aaab=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7060 ab:ab=aa,aaab=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7061 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:238,nodes:18,pairs:4,completionMax:26us [02m00s] 7061 ab:ab=aa,aaab=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7061 ab:ab=aa,aaab=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7062 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:3us [02m00s] 7062 ab:ab=aa,aaba=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7062 ab:ab=aa,aaba=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7063 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:3us [02m00s] 7063 ab:ab=aa,aaba=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7063 ab:ab=aa,aaba=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7064 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:77,nodes:12,pairs:1,completionMax:15us [02m00s] 7064 ab:ab=aa,aaba=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7064 ab:ab=aa,aaba=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7065 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:238,nodes:18,pairs:4,completionMax:22us [02m00s] 7065 ab:ab=aa,aaba=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7065 ab:ab=aa,aaba=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7066 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:3us [02m00s] 7066 ab:ab=aa,aabb=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7066 ab:ab=aa,aabb=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7067 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:0,completionMax:3us [02m00s] 7067 ab:ab=aa,aabb=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7067 ab:ab=aa,aabb=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7068 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:81,nodes:12,pairs:1,completionMax:8us [02m00s] 7068 ab:ab=aa,aabb=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7068 ab:ab=aa,aabb=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7069 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:242,nodes:18,pairs:4,completionMax:22us [02m00s] 7069 ab:ab=aa,aabb=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7069 ab:ab=aa,aabb=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7070 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:2us [02m00s] 7070 ab:ab=aa,abaa=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7070 ab:ab=aa,abaa=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7071 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:2us [02m00s] 7071 ab:ab=aa,abaa=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7071 ab:ab=aa,abaa=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7072 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:77,nodes:12,pairs:1,completionMax:19us [02m00s] 7072 ab:ab=aa,abaa=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7072 ab:ab=aa,abaa=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7073 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:238,nodes:18,pairs:4,completionMax:25us [02m00s] 7073 ab:ab=aa,abaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7073 ab:ab=aa,abaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7074 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:3us [02m00s] 7074 ab:ab=aa,abab=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7074 ab:ab=aa,abab=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7075 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:0,completionMax:2us [02m00s] 7075 ab:ab=aa,abab=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7075 ab:ab=aa,abab=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7076 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:81,nodes:12,pairs:1,completionMax:9us [02m00s] 7076 ab:ab=aa,abab=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7076 ab:ab=aa,abab=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7077 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:242,nodes:18,pairs:4,completionMax:23us [02m00s] 7077 ab:ab=aa,abab=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7077 ab:ab=aa,abab=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7078 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:4us [02m00s] 7078 ab:ab=aa,abba=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7078 ab:ab=aa,abba=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7079 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:0,completionMax:3us [02m00s] 7079 ab:ab=aa,abba=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7079 ab:ab=aa,abba=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7080 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:81,nodes:12,pairs:1,completionMax:9us [02m00s] 7080 ab:ab=aa,abba=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7080 ab:ab=aa,abba=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7081 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:242,nodes:18,pairs:4,completionMax:21us [02m00s] 7081 ab:ab=aa,abba=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7081 ab:ab=aa,abba=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7082 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:35,nodes:8,pairs:0,completionMax:4us [02m00s] 7082 ab:ab=aa,abbb=aa infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7082 ab:ab=aa,abbb=aa infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7083 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:37,nodes:8,pairs:0,completionMax:2us [02m00s] 7083 ab:ab=aa,abbb=ab infinite ab - - ab:ab=aa,aaaa=aa [02m00s] from: 7083 ab:ab=aa,abbb=ab infinite to: 7054 ab:ab=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7084 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:2,work:85,nodes:12,pairs:1,completionMax:12us [02m00s] 7084 ab:ab=aa,abbb=ba infinite a/b - - ab:aaaaa=aaa,ba=aaaa,ab=aa [02m00s] from: 7084 ab:ab=aa,abbb=ba infinite to: 7056 ab:ab=aa,aaaa=ba infinite a=a,b=b [02m00s] # 7085 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:246,nodes:18,pairs:4,completionMax:30us [02m00s] 7085 ab:ab=aa,abbb=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a/b - - ab:aaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaa [02m00s] from: 7085 ab:ab=aa,abbb=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa to: 7057 ab:ab=aa,aaaa=bb finite:8;idempotents:1,aaaa;center:1,aaa,baa,aaaa a=a,b=b [02m00s] # 7086 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:232,nodes:16,pairs:3,completionMax:37us [02m00s] 7086 ab:ab=aa,baaa=aa infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] # 7087 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:234,nodes:16,pairs:3,completionMax:35us [02m00s] 7087 ab:ab=aa,baaa=ab infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7087 ab:ab=aa,baaa=ab infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7088 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:91,nodes:16,pairs:1,completionMax:15us [02m00s] 7088 ab:ab=aa,baaa=ba infinite ab - - ab:ab=aa,baaa=ba,aaaaa=aaa [02m00s] # 7089 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:70,nodes:12,pairs:2,completionMax:10us [02m00s] 7089 ab:ab=aa,baaa=bb finite:10;idempotents:1,aaaa,baaa a/b - - ab:aaaaa=aaa,ab=aa,bb=baaa [02m00s] # 7090 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:236,nodes:16,pairs:3,completionMax:30us [02m00s] 7090 ab:ab=aa,baab=aa infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7090 ab:ab=aa,baab=aa infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7091 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:238,nodes:16,pairs:3,completionMax:27us [02m00s] 7091 ab:ab=aa,baab=ab infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7091 ab:ab=aa,baab=ab infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7092 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:95,nodes:16,pairs:1,completionMax:10us [02m00s] 7092 ab:ab=aa,baab=ba infinite ab - - ab:ab=aa,baaa=ba,aaaaa=aaa [02m00s] from: 7092 ab:ab=aa,baab=ba infinite to: 7088 ab:ab=aa,baaa=ba infinite a=a,b=b [02m00s] # 7093 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:74,nodes:12,pairs:2,completionMax:13us [02m00s] 7093 ab:ab=aa,baab=bb finite:10;idempotents:1,aaaa,baaa a/b - - ab:aaaaa=aaa,ab=aa,bb=baaa [02m00s] from: 7093 ab:ab=aa,baab=bb finite:10;idempotents:1,aaaa,baaa to: 7089 ab:ab=aa,baaa=bb finite:10;idempotents:1,aaaa,baaa a=a,b=b [02m00s] # 7094 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:236,nodes:16,pairs:3,completionMax:38us [02m00s] 7094 ab:ab=aa,baba=aa infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7094 ab:ab=aa,baba=aa infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7095 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:238,nodes:16,pairs:3,completionMax:29us [02m00s] 7095 ab:ab=aa,baba=ab infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7095 ab:ab=aa,baba=ab infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7096 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:95,nodes:16,pairs:1,completionMax:11us [02m00s] 7096 ab:ab=aa,baba=ba infinite ab - - ab:ab=aa,baaa=ba,aaaaa=aaa [02m00s] from: 7096 ab:ab=aa,baba=ba infinite to: 7088 ab:ab=aa,baaa=ba infinite a=a,b=b [02m00s] # 7097 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:74,nodes:12,pairs:2,completionMax:15us [02m00s] 7097 ab:ab=aa,baba=bb finite:10;idempotents:1,aaaa,baaa a/b - - ab:aaaaa=aaa,ab=aa,bb=baaa [02m00s] from: 7097 ab:ab=aa,baba=bb finite:10;idempotents:1,aaaa,baaa to: 7089 ab:ab=aa,baaa=bb finite:10;idempotents:1,aaaa,baaa a=a,b=b [02m00s] # 7098 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:240,nodes:16,pairs:3,completionMax:46us [02m00s] 7098 ab:ab=aa,babb=aa infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7098 ab:ab=aa,babb=aa infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7099 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:242,nodes:16,pairs:3,completionMax:27us [02m00s] 7099 ab:ab=aa,babb=ab infinite ab - - ab:ab=aa,baa=aaa,aaaa=aa [02m00s] from: 7099 ab:ab=aa,babb=ab infinite to: 7086 ab:ab=aa,baaa=aa infinite a=a,b=b [02m00s] # 7100 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:99,nodes:16,pairs:1,completionMax:15us [02m00s] 7100 ab:ab=aa,babb=ba infinite ab - - ab:ab=aa,baaa=ba,aaaaa=aaa [02m00s] from: 7100 ab:ab=aa,babb=ba infinite to: 7088 ab:ab=aa,baaa=ba infinite a=a,b=b [02m00s] # 7101 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:78,nodes:12,pairs:2,completionMax:11us [02m00s] 7101 ab:ab=aa,babb=bb finite:10;idempotents:1,aaaa,baaa a/b - - ab:aaaaa=aaa,ab=aa,bb=baaa [02m00s] from: 7101 ab:ab=aa,babb=bb finite:10;idempotents:1,aaaa,baaa to: 7089 ab:ab=aa,baaa=bb finite:10;idempotents:1,aaaa,baaa a=a,b=b [02m00s] # 7102 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:79,nodes:16,pairs:1,completionMax:10us [02m00s] 7102 ab:ab=aa,bbaa=aa infinite ab - - ab:ab=aa,bbaa=aa,aaaaa=aaa [02m00s] # 7103 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:81,nodes:16,pairs:1,completionMax:8us [02m00s] 7103 ab:ab=aa,bbaa=ab infinite ab - - ab:ab=aa,bbaa=aa,aaaaa=aaa [02m00s] from: 7103 ab:ab=aa,bbaa=ab infinite to: 7102 ab:ab=aa,bbaa=aa infinite a=a,b=b [02m00s] # 7104 solved: rounds:4,rules:4,peak:5,longest:5,steps:2,word:0,work:238,nodes:22,pairs:4,completionMax:28us [02m00s] 7104 ab:ab=aa,bbaa=ba infinite ab - - ab:ab=aa,bba=baa,baaa=ba,aaaaa=aaa [02m00s] # 7105 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:179,nodes:16,pairs:2,completionMax:12us [02m00s] 7105 ab:ab=aa,bbaa=bb finite:12;idempotents:1,bb,aaaa,baaa ab - - ab:ab=aa,bbb=bba,bbaa=bb,aaaaa=aaa [02m00s] # 7106 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:83,nodes:16,pairs:1,completionMax:6us [02m00s] 7106 ab:ab=aa,bbab=aa infinite ab - - ab:ab=aa,bbaa=aa,aaaaa=aaa [02m00s] from: 7106 ab:ab=aa,bbab=aa infinite to: 7102 ab:ab=aa,bbaa=aa infinite a=a,b=b [02m00s] # 7107 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:85,nodes:16,pairs:1,completionMax:8us [02m00s] 7107 ab:ab=aa,bbab=ab infinite ab - - ab:ab=aa,bbaa=aa,aaaaa=aaa [02m00s] from: 7107 ab:ab=aa,bbab=ab infinite to: 7102 ab:ab=aa,bbaa=aa infinite a=a,b=b [02m00s] # 7108 solved: rounds:4,rules:4,peak:5,longest:5,steps:2,word:0,work:242,nodes:22,pairs:4,completionMax:25us [02m00s] 7108 ab:ab=aa,bbab=ba infinite ab - - ab:ab=aa,bba=baa,baaa=ba,aaaaa=aaa [02m00s] from: 7108 ab:ab=aa,bbab=ba infinite to: 7104 ab:ab=aa,bbaa=ba infinite a=a,b=b [02m00s] # 7109 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:183,nodes:16,pairs:2,completionMax:19us [02m00s] 7109 ab:ab=aa,bbab=bb finite:12;idempotents:1,bb,aaaa,baaa ab - - ab:ab=aa,bbb=bba,bbaa=bb,aaaaa=aaa [02m00s] from: 7109 ab:ab=aa,bbab=bb finite:12;idempotents:1,bb,aaaa,baaa to: 7105 ab:ab=aa,bbaa=bb finite:12;idempotents:1,bb,aaaa,baaa a=a,b=b [02m00s] # 7110 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:75,nodes:16,pairs:1,completionMax:9us [02m00s] 7110 ab:ab=aa,bbba=aa infinite ab - - ab:ab=aa,bbba=aa,aaaaa=aaa [02m00s] # 7111 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:77,nodes:16,pairs:1,completionMax:8us [02m00s] 7111 ab:ab=aa,bbba=ab infinite ab - - ab:ab=aa,bbba=aa,aaaaa=aaa [02m00s] from: 7111 ab:ab=aa,bbba=ab infinite to: 7110 ab:ab=aa,bbba=aa infinite a=a,b=b [02m00s] # 7112 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:79,nodes:16,pairs:1,completionMax:11us [02m00s] 7112 ab:ab=aa,bbba=ba infinite ab - - ab:ab=aa,bbba=ba,aaaaa=aaa [02m00s] # 7113 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:243,nodes:16,pairs:5,completionMax:27us [02m00s] 7113 ab:ab=aa,bbba=bb finite:12;idempotents:1,bb,aaaa,baaa ab - - ab:ab=aa,bbb=bba,bbaa=bb,aaaaa=aaa [02m00s] from: 7113 ab:ab=aa,bbba=bb finite:12;idempotents:1,bb,aaaa,baaa to: 7105 ab:ab=aa,bbaa=bb finite:12;idempotents:1,bb,aaaa,baaa a=a,b=b [02m00s] # 7114 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:182,nodes:18,pairs:4,completionMax:16us [02m00s] 7114 ab:ab=aa,bbbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,aaaa,bbba ab - - ab:ab=aa,baa=aaa,bbbb=aa,aaaaa=aaa [02m00s] # 7115 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:184,nodes:18,pairs:4,completionMax:13us [02m00s] 7115 ab:ab=aa,bbbb=ab finite:11;idempotents:1,aaaa;center:1,aa,aaa,aaaa,bbba ab - - ab:ab=aa,baa=aaa,bbbb=aa,aaaaa=aaa [02m00s] from: 7115 ab:ab=aa,bbbb=ab finite:11;idempotents:1,aaaa;center:1,aa,aaa,aaaa,bbba to: 7114 ab:ab=aa,bbbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,aaaa,bbba a=a,b=b [02m00s] # 7116 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:283,nodes:22,pairs:2,completionMax:13us [02m00s] 7116 ab:ab=aa,bbbb=ba finite:11;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,abbbb=abb,ba=bbbb,aa=ab [02m00s] # 7117 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:86,nodes:16,pairs:1,completionMax:9us [02m00s] 7117 ab:ab=aa,bbbb=bb finite:20;idempotents:1,bb,aaaa,baaa,bbaaaa,bbbaaa ab - - ab:ab=aa,bbbb=bb,aaaaa=aaa [02m00s] # 7118 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:41,nodes:10,pairs:0,completionMax:5us [02m00s] 7118 ab:ba=ab,aaaa=aa infinite;commutative:ab:a4=a2;saturation:ab:b2=1;noncancellative:aa,1,aabb,aabb;smith:2,0 ab - - ab:ba=ab,aaaa=aa [02m00s] # 7119 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:4,work:33,nodes:6,pairs:0,completionMax:4us [02m00s] 7119 ab:ba=ab,aaaa=ab infinite;commutative:ab:ab=a4;saturation:a:;noncancellative:aaa,b,aaaa,aaaaaaa;smith:0 a/b - - ab:ba=aaaa,ab=aaaa [02m00s] # 7120 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:0,work:71,nodes:10,pairs:0,completionMax:7us [02m00s] 7120 ab:ba=ab,aaaa=bb infinite;commutative:ab:b2=a4;saturation:ab:a2=b4;cancellative;smith:2,0 ab - - ab:ba=ab,aaaa=bb [02m00s] # 7121 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:3us [02m00s] 7121 ab:ba=ab,aaab=aa infinite;commutative:ab:a3b=a2;saturation:ab:ab=1;noncancellative:ab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aa [02m00s] # 7122 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:5us [02m00s] 7122 ab:ba=ab,aaab=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaab=ab [02m00s] # 7123 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:27,nodes:10,pairs:0,completionMax:1us [02m00s] 7123 ab:ba=ab,aaab=ba infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaab=ab [02m00s] from: 7123 ab:ba=ab,aaab=ba infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 7122 ab:ba=ab,aaab=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7124 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:2us [02m00s] 7124 ab:ba=ab,aaab=bb infinite;commutative:ab:b2=a3b;saturation:a:;noncancellative:aaa,b,ab,aaaab;smith:0 ab - - ab:ba=ab,aaab=bb [02m00s] # 7125 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:29,nodes:10,pairs:0,completionMax:1us [02m00s] 7125 ab:ba=ab,aaba=aa infinite;commutative:ab:a3b=a2;saturation:ab:ab=1;noncancellative:ab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aa [02m00s] from: 7125 ab:ba=ab,aaba=aa infinite;commutative:ab:a3b=a2;saturation:ab:ab=1;noncancellative:ab,1,aabb,aabb;smith:0 to: 7121 ab:ba=ab,aaab=aa infinite;commutative:ab:a3b=a2;saturation:ab:ab=1;noncancellative:ab,1,aabb,aabb;smith:0 a=a,b=b [02m00s] # 7126 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:29,nodes:10,pairs:0,completionMax:3us [02m00s] 7126 ab:ba=ab,aaba=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaab=ab [02m00s] from: 7126 ab:ba=ab,aaba=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 7122 ab:ba=ab,aaab=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7127 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:31,nodes:10,pairs:0,completionMax:1us [02m00s] 7127 ab:ba=ab,aaba=ba infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 ab - - ab:ba=ab,aaab=ab [02m00s] from: 7127 ab:ba=ab,aaba=ba infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 to: 7122 ab:ba=ab,aaab=ab infinite;commutative:ab:a3b=ab;saturation:ab:b2=1;noncancellative:aa,1,ab,ab;smith:2,0 a=a,b=b [02m00s] # 7128 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:29,nodes:10,pairs:0,completionMax:3us [02m00s] 7128 ab:ba=ab,aaba=bb infinite;commutative:ab:b2=a3b;saturation:a:;noncancellative:aaa,b,ab,aaaab;smith:0 ab - - ab:ba=ab,aaab=bb [02m00s] from: 7128 ab:ba=ab,aaba=bb infinite;commutative:ab:b2=a3b;saturation:a:;noncancellative:aaa,b,ab,aaaab;smith:0 to: 7124 ab:ba=ab,aaab=bb infinite;commutative:ab:b2=a3b;saturation:a:;noncancellative:aaa,b,ab,aaaab;smith:0 a=a,b=b [02m00s] # 7129 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:2us [02m00s] 7129 ab:ba=ab,aabb=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 ab - - ab:ba=ab,aabb=aa [02m00s] # 7130 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:2us [02m00s] 7130 ab:ba=ab,aabb=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=ab [02m00s] # 7131 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:2us [02m00s] 7131 ab:ba=ab,aabb=ba infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=ab [02m00s] from: 7131 ab:ba=ab,aabb=ba infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 7130 ab:ba=ab,aabb=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7132 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:3us [02m00s] 7132 ab:ba=ab,abab=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 ab - - ab:ba=ab,aabb=aa [02m00s] from: 7132 ab:ba=ab,abab=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 to: 7129 ab:ba=ab,aabb=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 a=a,b=b [02m00s] # 7133 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:1us [02m00s] 7133 ab:ba=ab,abab=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=ab [02m00s] from: 7133 ab:ba=ab,abab=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 7130 ab:ba=ab,aabb=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7134 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:10,pairs:0,completionMax:1us [02m00s] 7134 ab:ba=ab,abab=ba infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=ab [02m00s] from: 7134 ab:ba=ab,abab=ba infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 7130 ab:ba=ab,aabb=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7135 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:10,pairs:0,completionMax:5us [02m00s] 7135 ab:ba=ab,abba=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 ab - - ab:ba=ab,aabb=aa [02m00s] from: 7135 ab:ba=ab,abba=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 to: 7129 ab:ba=ab,aabb=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 a=a,b=b [02m00s] # 7136 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:10,pairs:0,completionMax:1us [02m00s] 7136 ab:ba=ab,abba=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=ab [02m00s] from: 7136 ab:ba=ab,abba=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 to: 7130 ab:ba=ab,aabb=ab infinite;commutative:ab:a2b2=ab;saturation:ab:ab=1;noncancellative:ab,1,ab,ab;smith:0 a=a,b=b [02m00s] # 7137 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:10,pairs:0,completionMax:3us [02m00s] 7137 ab:ba=ab,abba=bb infinite;commutative:ab:a2b2=b2;saturation:ab:b2=1;noncancellative:aa,1,bb,bb;smith:2,0 ab - - ab:ba=ab,aabb=bb [02m00s] from: 7137 ab:ba=ab,abba=bb infinite;commutative:ab:a2b2=b2;saturation:ab:b2=1;noncancellative:aa,1,bb,bb;smith:2,0 to: 7129 ab:ba=ab,aabb=aa infinite;commutative:ab:a2b2=a2;saturation:ab:b2=1;noncancellative:bb,1,aa,aa;smith:2,0 a=b,b=a [02m00s] # 7138 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:58,nodes:12,pairs:1,completionMax:9us [02m00s] 7138 ab:bb=aa,aaaa=aa infinite ab - - ab:bb=aa,baa=aab,aaaa=aa [02m00s] # 7139 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:128,nodes:18,pairs:2,completionMax:11us [02m00s] 7139 ab:bb=aa,aaaa=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baa=aaaaa,ab=aaaa,bb=aa [02m00s] # 7140 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:60,nodes:12,pairs:1,completionMax:9us [02m00s] 7140 ab:bb=aa,aaaa=bb infinite ab - - ab:bb=aa,baa=aab,aaaa=aa [02m00s] from: 7140 ab:bb=aa,aaaa=bb infinite to: 7138 ab:bb=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7141 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:2,work:164,nodes:16,pairs:7,completionMax:18us [02m00s] 7141 ab:bb=aa,aaab=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaaa,aab=aaaaa,bb=aa [02m00s] # 7142 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:331,nodes:16,pairs:3,completionMax:17us [02m00s] 7142 ab:bb=aa,aaab=ab infinite ba - - ab:aa=bb,abb=bba,bbab=ab,bbbbb=bbb,bbbba=bba [02m00s] # 7143 solved: rounds:3,rules:4,peak:6,longest:9,steps:10,word:4,work:1501,nodes:38,pairs:11,completionMax:61us [02m00s] 7143 ab:bb=aa,aaab=ba finite:13;idempotents:1,bbbb;center:1,bb,bbbb,bbbbbb b/a - - ab:bbbbbbb=bbb,abbbbbb=abb,ba=abbb,aa=bb [02m00s] # 7144 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:2,work:166,nodes:16,pairs:7,completionMax:19us [02m00s] 7144 ab:bb=aa,aaab=bb infinite a/b - - ab:aaaaaa=aa,baa=aaaaa,aab=aaaaa,bb=aa [02m00s] from: 7144 ab:bb=aa,aaab=bb infinite to: 7141 ab:bb=aa,aaab=aa infinite a=a,b=b [02m00s] # 7145 solved: rounds:3,rules:4,peak:6,longest:6,steps:3,word:2,work:451,nodes:22,pairs:9,completionMax:58us [02m00s] 7145 ab:bb=aa,aaba=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaaa,aab=aaaaa,bb=aa [02m00s] from: 7145 ab:bb=aa,aaba=aa infinite to: 7141 ab:bb=aa,aaab=aa infinite a=a,b=b [02m00s] # 7146 solved: rounds:3,rules:4,peak:6,longest:9,steps:10,word:4,work:1497,nodes:38,pairs:11,completionMax:81us [02m00s] 7146 ab:bb=aa,aaba=ab finite:13;idempotents:1,aaaa;center:1,aa,aaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baaaaaa=baa,ab=baaa,bb=aa [02m00s] from: 7146 ab:bb=aa,aaba=ab finite:13;idempotents:1,aaaa;center:1,aa,aaaa,aaaaaa to: 7143 ab:bb=aa,aaab=ba finite:13;idempotents:1,bbbb;center:1,bb,bbbb,bbbbbb a=b,b=a [02m00s] # 7147 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:327,nodes:16,pairs:3,completionMax:19us [02m00s] 7147 ab:bb=aa,aaba=ba infinite ab - - ab:bb=aa,baa=aab,aaba=ba,aaaaa=aaa,aaaab=aab [02m00s] from: 7147 ab:bb=aa,aaba=ba infinite to: 7142 ab:bb=aa,aaab=ab infinite a=b,b=a [02m00s] # 7148 solved: rounds:3,rules:4,peak:6,longest:6,steps:3,word:2,work:453,nodes:22,pairs:9,completionMax:43us [02m00s] 7148 ab:bb=aa,aaba=bb infinite a/b - - ab:aaaaaa=aa,baa=aaaaa,aab=aaaaa,bb=aa [02m00s] from: 7148 ab:bb=aa,aaba=bb infinite to: 7141 ab:bb=aa,aaab=aa infinite a=a,b=b [02m00s] # 7149 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:62,nodes:12,pairs:1,completionMax:6us [02m00s] 7149 ab:bb=aa,aabb=aa infinite ab - - ab:bb=aa,baa=aab,aaaa=aa [02m00s] from: 7149 ab:bb=aa,aabb=aa infinite to: 7138 ab:bb=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7150 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:132,nodes:18,pairs:2,completionMax:15us [02m00s] 7150 ab:bb=aa,aabb=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baa=aaaaa,ab=aaaa,bb=aa [02m00s] from: 7150 ab:bb=aa,aabb=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa to: 7139 ab:bb=aa,aaaa=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a=a,b=b [02m00s] # 7151 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:131,nodes:16,pairs:2,completionMax:10us [02m00s] 7151 ab:bb=aa,aabb=ba finite:9;idempotents:1,aaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,ba=aaaa,aab=aaaaa,bb=aa [02m00s] # 7152 solved: rounds:3,rules:6,peak:6,longest:7,steps:6,word:2,work:1030,nodes:30,pairs:8,completionMax:49us [02m00s] 7152 ab:bb=aa,abab=aa finite:17;idempotents:1,aaaa;center:1,aa,aaaa,baba,aaaaaa a/b - - ab:aaaaaaa=aaa,baaaaaa=baa,abaa=baaaaa,aab=baa,bb=aa,abab=aa [02m00s] # 7153 solved: rounds:2,rules:6,peak:6,longest:8,steps:4,word:2,work:608,nodes:32,pairs:5,completionMax:32us [02m00s] 7153 ab:bb=aa,abab=ab finite:17;idempotents:1,ab,baba,bbbb;center:1,bb,bbbb,bbbbb,bbbbbb,bbbbbbb b/a - - ab:bbbbbbbb=bbbb,abbbb=bbbbbbb,babbb=bbb,bba=abb,aa=bb,abab=ab [02m00s] # 7154 solved: rounds:2,rules:5,peak:5,longest:7,steps:4,word:2,work:401,nodes:24,pairs:8,completionMax:27us [02m00s] 7154 ab:bb=aa,abab=ba finite:17;idempotents:1,aaaa;center:1,aa,aaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baaaaa=ba,aab=baa,bb=aa,bab=abaaa [02m00s] # 7155 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:62,nodes:12,pairs:1,completionMax:9us [02m00s] 7155 ab:bb=aa,abba=aa infinite ab - - ab:bb=aa,baa=aab,aaaa=aa [02m00s] from: 7155 ab:bb=aa,abba=aa infinite to: 7138 ab:bb=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7156 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:132,nodes:18,pairs:2,completionMax:11us [02m00s] 7156 ab:bb=aa,abba=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baa=aaaaa,ab=aaaa,bb=aa [02m00s] from: 7156 ab:bb=aa,abba=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa to: 7139 ab:bb=aa,aaaa=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a=a,b=b [02m00s] # 7157 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:64,nodes:12,pairs:1,completionMax:5us [02m00s] 7157 ab:bb=aa,abba=bb infinite ab - - ab:bb=aa,baa=aab,aaaa=aa [02m00s] from: 7157 ab:bb=aa,abba=bb infinite to: 7138 ab:bb=aa,aaaa=aa infinite a=a,b=b [02m00s] # 7158 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:0us [02m00s] 7158 ab:ab=aa,aab=aaa infinite ab - - ab:ab=aa [02m00s] # 7159 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:0us [02m00s] 7159 ab:ab=aa,aba=aaa infinite ab - - ab:ab=aa [02m00s] from: 7159 ab:ab=aa,aba=aaa infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7160 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 7160 ab:ab=aa,aba=aab infinite ab - - ab:ab=aa [02m00s] from: 7160 ab:ab=aa,aba=aab infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7161 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 7161 ab:ab=aa,abb=aaa infinite ab - - ab:ab=aa [02m00s] from: 7161 ab:ab=aa,abb=aaa infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7162 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:0us [02m00s] 7162 ab:ab=aa,abb=aab infinite ab - - ab:ab=aa [02m00s] from: 7162 ab:ab=aa,abb=aab infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7163 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 7163 ab:ab=aa,abb=aba infinite ab - - ab:ab=aa [02m00s] from: 7163 ab:ab=aa,abb=aba infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7164 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:4us [02m00s] 7164 ab:ab=aa,baa=aaa infinite ab - - ab:ab=aa,baa=aaa [02m00s] # 7165 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:1us [02m00s] 7165 ab:ab=aa,baa=aab infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7165 ab:ab=aa,baa=aab infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7166 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 7166 ab:ab=aa,baa=aba infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7166 ab:ab=aa,baa=aba infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7167 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [02m00s] 7167 ab:ab=aa,baa=abb infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7167 ab:ab=aa,baa=abb infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7168 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 7168 ab:ab=aa,bab=aaa infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7168 ab:ab=aa,bab=aaa infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7169 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:1us [02m00s] 7169 ab:ab=aa,bab=aab infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7169 ab:ab=aa,bab=aab infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7170 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:3us [02m00s] 7170 ab:ab=aa,bab=aba infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7170 ab:ab=aa,bab=aba infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7171 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 7171 ab:ab=aa,bab=abb infinite ab - - ab:ab=aa,baa=aaa [02m00s] from: 7171 ab:ab=aa,bab=abb infinite to: 7164 ab:ab=aa,baa=aaa infinite a=a,b=b [02m00s] # 7172 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:0us [02m00s] 7172 ab:ab=aa,bab=baa infinite ab - - ab:ab=aa [02m00s] from: 7172 ab:ab=aa,bab=baa infinite to: 7158 ab:ab=aa,aab=aaa infinite a=a,b=b [02m00s] # 7173 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 7173 ab:ab=aa,bba=aaa infinite ab - - ab:ab=aa,bba=aaa [02m00s] # 7174 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [02m00s] 7174 ab:ab=aa,bba=aab infinite ab - - ab:ab=aa,bba=aaa [02m00s] from: 7174 ab:ab=aa,bba=aab infinite to: 7173 ab:ab=aa,bba=aaa infinite a=a,b=b [02m00s] # 7175 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:1us [02m00s] 7175 ab:ab=aa,bba=aba infinite ab - - ab:ab=aa,bba=aaa [02m00s] from: 7175 ab:ab=aa,bba=aba infinite to: 7173 ab:ab=aa,bba=aaa infinite a=a,b=b [02m00s] # 7176 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:2us [02m00s] 7176 ab:ab=aa,bba=abb infinite ab - - ab:ab=aa,bba=aaa [02m00s] from: 7176 ab:ab=aa,bba=abb infinite to: 7173 ab:ab=aa,bba=aaa infinite a=a,b=b [02m00s] # 7177 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:1us [02m00s] 7177 ab:ab=aa,bba=baa infinite ab - - ab:ab=aa,bba=baa [02m00s] # 7178 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:19,nodes:8,pairs:0,completionMax:2us [02m00s] 7178 ab:ab=aa,bba=bab infinite ab - - ab:ab=aa,bba=baa [02m00s] from: 7178 ab:ab=aa,bba=bab infinite to: 7177 ab:ab=aa,bba=baa infinite a=a,b=b [02m00s] # 7179 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:2,completionMax:13us [02m00s] 7179 ab:ab=aa,bbb=aaa infinite ab - - ab:ab=aa,bbb=aaa,baaa=aaaa [02m00s] # 7180 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:57,nodes:12,pairs:2,completionMax:8us [02m00s] 7180 ab:ab=aa,bbb=aab infinite ab - - ab:ab=aa,bbb=aaa,baaa=aaaa [02m00s] from: 7180 ab:ab=aa,bbb=aab infinite to: 7179 ab:ab=aa,bbb=aaa infinite a=a,b=b [02m00s] # 7181 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:57,nodes:12,pairs:2,completionMax:6us [02m00s] 7181 ab:ab=aa,bbb=aba infinite ab - - ab:ab=aa,bbb=aaa,baaa=aaaa [02m00s] from: 7181 ab:ab=aa,bbb=aba infinite to: 7179 ab:ab=aa,bbb=aaa infinite a=a,b=b [02m00s] # 7182 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:60,nodes:12,pairs:2,completionMax:6us [02m00s] 7182 ab:ab=aa,bbb=abb infinite ab - - ab:ab=aa,bbb=aaa,baaa=aaaa [02m00s] from: 7182 ab:ab=aa,bbb=abb infinite to: 7179 ab:ab=aa,bbb=aaa infinite a=a,b=b [02m00s] # 7183 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:68,nodes:10,pairs:1,completionMax:7us [02m00s] 7183 ab:ab=aa,bbb=baa infinite ab - - ab:ab=aa,bbb=baa,bbaa=baaa [02m00s] # 7184 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:71,nodes:10,pairs:1,completionMax:5us [02m00s] 7184 ab:ab=aa,bbb=bab infinite ab - - ab:ab=aa,bbb=baa,bbaa=baaa [02m00s] from: 7184 ab:ab=aa,bbb=bab infinite to: 7183 ab:ab=aa,bbb=baa infinite a=a,b=b [02m00s] # 7185 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:44,nodes:8,pairs:0,completionMax:3us [02m00s] 7185 ab:ab=aa,bbb=bba infinite ab - - ab:ab=aa,bbb=bba [02m00s] # 7186 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:8,pairs:0,completionMax:2us [02m00s] 7186 ab:ba=ab,aab=aaa infinite;commutative:ab:a2b=a3;saturation:a:;noncancellative:a,b,aaaa,aaaaa;smith:0 ab - - ab:ba=ab,aab=aaa [02m00s] # 7187 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:8,pairs:0,completionMax:4us [02m00s] 7187 ab:ba=ab,aba=aaa infinite;commutative:ab:a2b=a3;saturation:a:;noncancellative:a,b,aaaa,aaaaa;smith:0 ab - - ab:ba=ab,aab=aaa [02m00s] from: 7187 ab:ba=ab,aba=aaa infinite;commutative:ab:a2b=a3;saturation:a:;noncancellative:a,b,aaaa,aaaaa;smith:0 to: 7186 ab:ba=ab,aab=aaa infinite;commutative:ab:a2b=a3;saturation:a:;noncancellative:a,b,aaaa,aaaaa;smith:0 a=a,b=b [02m00s] # 7188 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:0us [02m00s] 7188 ab:ba=ab,aba=aab infinite;commutative:ab:;saturation:ab:;cancellative;smith:0,0 ab - - ab:ba=ab [02m00s] # 7189 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:24,nodes:8,pairs:0,completionMax:4us [02m00s] 7189 ab:ba=ab,abb=aaa infinite;commutative:ab:ab2=a3;saturation:ab:a2=b2;noncancellative:aa,bb,ab,aaab;smith:2,0 ab - - ab:ba=ab,abb=aaa [02m00s] # 7190 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:32,nodes:8,pairs:0,completionMax:3us [02m00s] 7190 ab:ba=ab,abb=aab infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 ab - - ab:ba=ab,abb=aab [02m00s] # 7191 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:35,nodes:8,pairs:0,completionMax:1us [02m00s] 7191 ab:ba=ab,abb=aba infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 ab - - ab:ba=ab,abb=aab [02m00s] from: 7191 ab:ba=ab,abb=aba infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 to: 7190 ab:ba=ab,abb=aab infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 a=a,b=b [02m00s] # 7192 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 7192 ab:ba=ab,baa=aab infinite;commutative:ab:;saturation:ab:;cancellative;smith:0,0 ab - - ab:ba=ab [02m00s] from: 7192 ab:ba=ab,baa=aab infinite;commutative:ab:;saturation:ab:;cancellative;smith:0,0 to: 7188 ab:ba=ab,aba=aab infinite;commutative:ab:;saturation:ab:;cancellative;smith:0,0 a=a,b=b [02m00s] # 7193 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:38,nodes:8,pairs:0,completionMax:2us [02m00s] 7193 ab:ba=ab,baa=abb infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 ab - - ab:ba=ab,abb=aab [02m00s] from: 7193 ab:ba=ab,baa=abb infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 to: 7190 ab:ba=ab,abb=aab infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 a=a,b=b [02m00s] # 7194 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:27,nodes:8,pairs:0,completionMax:3us [02m00s] 7194 ab:ba=ab,bab=aaa infinite;commutative:ab:ab2=a3;saturation:ab:a2=b2;noncancellative:aa,bb,ab,aaab;smith:2,0 ab - - ab:ba=ab,abb=aaa [02m00s] from: 7194 ab:ba=ab,bab=aaa infinite;commutative:ab:ab2=a3;saturation:ab:a2=b2;noncancellative:aa,bb,ab,aaab;smith:2,0 to: 7189 ab:ba=ab,abb=aaa infinite;commutative:ab:ab2=a3;saturation:ab:a2=b2;noncancellative:aa,bb,ab,aaab;smith:2,0 a=a,b=b [02m00s] # 7195 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:38,nodes:8,pairs:0,completionMax:5us [02m00s] 7195 ab:ba=ab,bab=aba infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 ab - - ab:ba=ab,abb=aab [02m00s] from: 7195 ab:ba=ab,bab=aba infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 to: 7190 ab:ba=ab,abb=aab infinite;commutative:ab:a2b=ab2;saturation:a:;noncancellative:a,b,ab,abb;smith:0 a=a,b=b [02m00s] # 7196 solved: rounds:0,rules:2,peak:2,longest:3,steps:6,word:0,work:54,nodes:6,pairs:0,completionMax:6us [02m00s] 7196 ab:ba=ab,bbb=aaa infinite;commutative:ab:a3=b3;saturation:ab:a3=b3;cancellative;smith:3,0 ab - - ab:ba=ab,bbb=aaa [02m00s] # 7197 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:29,nodes:10,pairs:1,completionMax:7us [02m00s] 7197 ab:bb=aa,aab=aaa infinite ab - - ab:bb=aa,aab=aaa,baa=aaa [02m00s] # 7198 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:100,nodes:14,pairs:2,completionMax:9us [02m00s] 7198 ab:bb=aa,aba=aaa infinite ab - - ab:bb=aa,aba=aaa,baa=aab,aaab=aaaa [02m00s] # 7199 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:52,nodes:10,pairs:1,completionMax:5us [02m00s] 7199 ab:bb=aa,aba=aab infinite ab - - ab:bb=aa,aba=aab,baa=aab [02m00s] # 7200 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:2us [02m00s] 7200 ab:bb=aa,abb=aaa infinite ab - - ab:bb=aa,baa=aab [02m00s] # 7201 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:32,nodes:10,pairs:1,completionMax:7us [02m00s] 7201 ab:bb=aa,abb=aab infinite ab - - ab:bb=aa,aab=aaa,baa=aaa [02m00s] from: 7201 ab:bb=aa,abb=aab infinite to: 7197 ab:bb=aa,aab=aaa infinite a=a,b=b [02m00s] # 7202 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:103,nodes:14,pairs:2,completionMax:15us [02m00s] 7202 ab:bb=aa,abb=aba infinite ab - - ab:bb=aa,aba=aaa,baa=aab,aaab=aaaa [02m00s] from: 7202 ab:bb=aa,abb=aba infinite to: 7198 ab:bb=aa,aba=aaa infinite a=a,b=b [02m00s] # 7203 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:3us [02m00s] 7203 ab:bb=aa,baa=aab infinite ab - - ab:bb=aa,baa=aab [02m00s] from: 7203 ab:bb=aa,baa=aab infinite to: 7200 ab:bb=aa,abb=aaa infinite a=a,b=b [02m00s] # 7204 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:32,nodes:10,pairs:1,completionMax:6us [02m00s] 7204 ab:bb=aa,baa=abb infinite ab - - ab:bb=aa,aab=aaa,baa=aaa [02m00s] from: 7204 ab:bb=aa,baa=abb infinite to: 7197 ab:bb=aa,aab=aaa infinite a=a,b=b [02m00s] # 7205 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:55,nodes:10,pairs:1,completionMax:8us [02m00s] 7205 ab:bb=aa,bab=aaa infinite ba - - ab:aa=bb,bab=bba,abb=bba [02m00s] from: 7205 ab:bb=aa,bab=aaa infinite to: 7199 ab:bb=aa,aba=aab infinite a=b,b=a [02m00s] # 7206 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:6,pairs:4,completionMax:18us [02m00s] 7206 ab:bb=aa,bab=aba infinite ab - - ab:bb=aa,baa=aab,bab=aba [02m00s] # 7207 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:32,nodes:10,pairs:1,completionMax:6us [02m00s] 7207 ab:bb=aa,bbb=aaa infinite ab - - ab:bb=aa,aab=aaa,baa=aaa [02m00s] from: 7207 ab:bb=aa,bbb=aaa infinite to: 7197 ab:bb=aa,aab=aaa infinite a=a,b=b [02m00s] # 7208 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:5us [02m00s] 7208 ab:aaa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [02m00s] from: 7208 ab:aaa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [02m00s] # 7209 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [02m00s] 7209 ab:aaa=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 7209 ab:aaa=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 7210 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:10,pairs:9,completionMax:30us [02m00s] 7210 ab:aaa=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 7210 ab:aaa=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 7211 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:54,nodes:12,pairs:7,completionMax:16us [02m00s] 7211 ab:aaa=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7211 ab:aaa=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7212 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:52,nodes:14,pairs:9,completionMax:15us [02m00s] 7212 ab:aaa=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 7212 ab:aaa=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 7213 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:14,pairs:1,completionMax:6us [02m00s] 7213 ab:aaa=1,aaaabab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [02m00s] from: 7213 ab:aaa=1,aaaabab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [02m00s] # 7214 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:115,nodes:14,pairs:11,completionMax:21us [02m00s] 7214 ab:aaa=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7214 ab:aaa=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7215 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:77,nodes:24,pairs:5,completionMax:19us [02m00s] 7215 ab:aaa=1,aaaabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7215 ab:aaa=1,aaaabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7216 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 7216 ab:aaa=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 7216 ab:aaa=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 7217 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:302,nodes:16,pairs:9,completionMax:39us [02m00s] 7217 ab:aaa=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7217 ab:aaa=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7218 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:6us [02m00s] 7218 ab:aaa=1,aaababa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [02m00s] from: 7218 ab:aaa=1,aaababa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [02m00s] # 7219 solved: rounds:5,rules:2,peak:4,longest:9,steps:4,word:5,work:231,nodes:18,pairs:10,completionMax:38us [02m00s] 7219 ab:aaa=1,aaababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7219 ab:aaa=1,aaababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7220 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:50,nodes:12,pairs:6,completionMax:13us [02m00s] 7220 ab:aaa=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7220 ab:aaa=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7221 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1297,nodes:48,pairs:28,completionMax:105us [02m00s] 7221 ab:aaa=1,aaabbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7221 ab:aaa=1,aaabbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7222 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:61,nodes:20,pairs:5,completionMax:18us [02m00s] 7222 ab:aaa=1,aaabbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7222 ab:aaa=1,aaabbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7223 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:12,pairs:0,completionMax:3us [02m00s] 7223 ab:aaa=1,aaabbbb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [02m00s] from: 7223 ab:aaa=1,aaabbbb=1 infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7224 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:57,nodes:12,pairs:7,completionMax:13us [02m00s] 7224 ab:aaa=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7224 ab:aaa=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7225 solved: rounds:2,rules:2,peak:5,longest:10,steps:5,word:4,work:688,nodes:34,pairs:19,completionMax:61us [02m00s] 7225 ab:aaa=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7225 ab:aaa=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7226 solved: rounds:4,rules:2,peak:6,longest:9,steps:9,word:10,work:815,nodes:32,pairs:14,completionMax:52us [02m00s] 7226 ab:aaa=1,aabaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7226 ab:aaa=1,aabaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7227 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:157,nodes:22,pairs:15,completionMax:41us [02m00s] 7227 ab:aaa=1,aababaa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [02m00s] from: 7227 ab:aaa=1,aababaa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [02m00s] # 7228 solved: rounds:5,rules:2,peak:7,longest:9,steps:6,word:5,work:741,nodes:22,pairs:30,completionMax:66us [02m00s] 7228 ab:aaa=1,aababab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7228 ab:aaa=1,aababab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7229 solved: rounds:4,rules:2,peak:6,longest:9,steps:10,word:10,work:629,nodes:22,pairs:39,completionMax:100us [02m00s] 7229 ab:aaa=1,aababba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7229 ab:aaa=1,aababba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7230 solved: rounds:6,rules:3,peak:16,longest:29,steps:36,word:24,work:18614,nodes:124,pairs:156,completionMax:1188us [02m00s] 7230 ab:aaa=1,aababbb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [02m00s] from: 7230 ab:aaa=1,aababbb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7231 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:5,work:299,nodes:20,pairs:20,completionMax:59us [02m00s] 7231 ab:aaa=1,aabbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7231 ab:aaa=1,aabbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7232 solved: rounds:5,rules:2,peak:8,longest:9,steps:8,word:10,work:3232,nodes:34,pairs:60,completionMax:171us [02m00s] 7232 ab:aaa=1,aabbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7232 ab:aaa=1,aabbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7233 solved: rounds:3,rules:3,peak:6,longest:7,steps:3,word:0,work:305,nodes:22,pairs:10,completionMax:37us [02m00s] 7233 ab:aaa=1,aabbabb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [02m00s] from: 7233 ab:aaa=1,aabbabb=1 infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7234 solved: rounds:4,rules:2,peak:6,longest:9,steps:2,word:5,work:291,nodes:22,pairs:30,completionMax:58us [02m00s] 7234 ab:aaa=1,aabbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7234 ab:aaa=1,aabbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7235 solved: rounds:6,rules:3,peak:15,longest:30,steps:18,word:44,work:20018,nodes:114,pairs:88,completionMax:794us [02m00s] 7235 ab:aaa=1,aabbbab=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbb,aaa=1 [02m00s] from: 7235 ab:aaa=1,aabbbab=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [02m00s] # 7236 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:86,nodes:22,pairs:9,completionMax:30us [02m00s] 7236 ab:aaa=1,aabbbba=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [02m00s] from: 7236 ab:aaa=1,aabbbba=1 infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7237 solved: rounds:2,rules:2,peak:3,longest:15,steps:2,word:8,work:111,nodes:30,pairs:7,completionMax:25us [02m00s] 7237 ab:aaa=1,aabbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7237 ab:aaa=1,aabbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7238 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:14,pairs:1,completionMax:7us [02m00s] 7238 ab:aaa=1,abaaaab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [02m00s] from: 7238 ab:aaa=1,abaaaab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [02m00s] # 7239 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:117,nodes:14,pairs:11,completionMax:24us [02m00s] 7239 ab:aaa=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7239 ab:aaa=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7240 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:79,nodes:24,pairs:5,completionMax:26us [02m00s] 7240 ab:aaa=1,abaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7240 ab:aaa=1,abaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7241 solved: rounds:5,rules:2,peak:6,longest:9,steps:5,word:5,work:559,nodes:28,pairs:23,completionMax:60us [02m00s] 7241 ab:aaa=1,abaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7241 ab:aaa=1,abaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7242 solved: rounds:5,rules:2,peak:9,longest:9,steps:6,word:5,work:1939,nodes:36,pairs:70,completionMax:300us [02m00s] 7242 ab:aaa=1,abaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7242 ab:aaa=1,abaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7243 solved: rounds:5,rules:3,peak:10,longest:37,steps:112,word:57,work:65880,nodes:220,pairs:33,completionMax:2642us [02m00s] 7243 ab:aaa=1,abaabbb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbb,aaa=1 [02m00s] from: 7243 ab:aaa=1,abaabbb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [02m00s] # 7244 solved: rounds:5,rules:2,peak:5,longest:9,steps:7,word:5,work:725,nodes:26,pairs:24,completionMax:89us [02m00s] 7244 ab:aaa=1,ababaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7244 ab:aaa=1,ababaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7245 solved: rounds:2,rules:2,peak:5,longest:9,steps:16,word:5,work:1147,nodes:30,pairs:17,completionMax:53us [02m00s] 7245 ab:aaa=1,abababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7245 ab:aaa=1,abababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7246 solved: rounds:5,rules:3,peak:9,longest:7,steps:7,word:0,work:1344,nodes:26,pairs:39,completionMax:139us [02m00s] 7246 ab:aaa=1,abababb=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [02m00s] from: 7246 ab:aaa=1,abababb=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [02m00s] # 7247 solved: rounds:4,rules:3,peak:6,longest:7,steps:9,word:0,work:915,nodes:30,pairs:24,completionMax:86us [02m00s] 7247 ab:aaa=1,ababbab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [02m00s] from: 7247 ab:aaa=1,ababbab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [02m00s] # 7248 solved: rounds:4,rules:3,peak:8,longest:28,steps:21,word:24,work:6203,nodes:78,pairs:46,completionMax:339us [02m00s] 7248 ab:aaa=1,ababbba=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [02m00s] from: 7248 ab:aaa=1,ababbba=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7249 solved: rounds:5,rules:5,peak:10,longest:33,steps:12,word:27,work:12075,nodes:152,pairs:33,completionMax:438us [02m00s] 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=babbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbabbbbbbbbbbbbbbbbbbbb [02m00s] # 7250 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:80,nodes:24,pairs:5,completionMax:22us [02m00s] 7250 ab:aaa=1,abbaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7250 ab:aaa=1,abbaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7251 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:0,work:343,nodes:26,pairs:14,completionMax:42us [02m00s] 7251 ab:aaa=1,abbaabb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [02m00s] from: 7251 ab:aaa=1,abbaabb=1 infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7252 solved: rounds:3,rules:3,peak:6,longest:7,steps:8,word:0,work:902,nodes:28,pairs:28,completionMax:87us [02m00s] 7252 ab:aaa=1,abbabab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [02m00s] from: 7252 ab:aaa=1,abbabab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [02m00s] # 7253 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:241,nodes:26,pairs:10,completionMax:27us [02m00s] 7253 ab:aaa=1,abbabba=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [02m00s] from: 7253 ab:aaa=1,abbabba=1 infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7254 solved: rounds:4,rules:2,peak:9,longest:15,steps:11,word:12,work:5545,nodes:46,pairs:79,completionMax:238us [02m00s] 7254 ab:aaa=1,abbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7254 ab:aaa=1,abbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7255 solved: rounds:5,rules:3,peak:14,longest:31,steps:36,word:48,work:28474,nodes:128,pairs:80,completionMax:1224us [02m00s] 7255 ab:aaa=1,abbbaab=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [02m00s] from: 7255 ab:aaa=1,abbbaab=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7256 solved: rounds:2,rules:2,peak:4,longest:15,steps:6,word:8,work:408,nodes:36,pairs:11,completionMax:54us [02m00s] 7256 ab:aaa=1,abbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7256 ab:aaa=1,abbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7257 solved: rounds:4,rules:5,peak:11,longest:33,steps:12,word:23,work:18700,nodes:198,pairs:68,completionMax:577us [02m00s] 7257 ab:aaa=1,abbbbab=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=babbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbabbbbbbbbbbbbbbbbbbbb [02m00s] from: 7257 ab:aaa=1,abbbbab=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7258 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:4,work:265,nodes:32,pairs:11,completionMax:39us [02m00s] 7258 ab:aaa=1,abbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7258 ab:aaa=1,abbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7259 solved: rounds:2,rules:2,peak:4,longest:18,steps:2,word:11,work:137,nodes:48,pairs:5,completionMax:32us [02m00s] 7259 ab:aaa=1,abbbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 7259 ab:aaa=1,abbbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 7260 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:303,nodes:16,pairs:9,completionMax:27us [02m00s] 7260 ab:aaa=1,baaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 7260 ab:aaa=1,baaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 7261 solved: rounds:5,rules:2,peak:4,longest:9,steps:4,word:5,work:232,nodes:18,pairs:10,completionMax:26us [02m00s] 7261 ab:aaa=1,baaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7261 ab:aaa=1,baaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7262 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1298,nodes:48,pairs:28,completionMax:77us [02m00s] 7262 ab:aaa=1,baaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7262 ab:aaa=1,baaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7263 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:3us [02m00s] 7263 ab:aaa=1,baaabbb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [02m00s] from: 7263 ab:aaa=1,baaabbb=1 infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7264 solved: rounds:4,rules:2,peak:5,longest:9,steps:6,word:5,work:285,nodes:18,pairs:12,completionMax:29us [02m00s] 7264 ab:aaa=1,baabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 7264 ab:aaa=1,baabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 7265 solved: rounds:6,rules:3,peak:24,longest:29,steps:36,word:32,work:51981,nodes:120,pairs:445,completionMax:2173us [02m00s] 7265 ab:aaa=1,baababb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [02m00s] from: 7265 ab:aaa=1,baababb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7266 solved: rounds:4,rules:3,peak:19,longest:10,steps:6,word:0,work:8281,nodes:86,pairs:145,completionMax:538us [02m00s] 7266 ab:aaa=1,baabbab=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [02m00s] from: 7266 ab:aaa=1,baabbab=1 infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7267 solved: rounds:4,rules:2,peak:6,longest:15,steps:6,word:8,work:1663,nodes:48,pairs:26,completionMax:75us [02m00s] 7267 ab:aaa=1,baabbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7267 ab:aaa=1,baabbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7268 solved: rounds:5,rules:3,peak:24,longest:31,steps:59,word:56,work:270986,nodes:226,pairs:533,completionMax:9356us [02m00s] 7268 ab:aaa=1,babaabb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbb,aaa=1 [02m00s] from: 7268 ab:aaa=1,babaabb=1 finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [02m00s] # 7269 solved: rounds:2,rules:3,peak:3,longest:7,steps:10,word:0,work:300,nodes:18,pairs:7,completionMax:16us [02m00s] 7269 ab:aaa=1,bababab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [02m00s] from: 7269 ab:aaa=1,bababab=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [02m00s] # 7270 solved: rounds:6,rules:5,peak:22,longest:34,steps:30,word:23,work:142250,nodes:202,pairs:292,completionMax:4133us [02m00s] 7270 ab:aaa=1,bababbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=babbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbabbbbbbbbbbbbbbbbbbbb [02m00s] from: 7270 ab:aaa=1,bababbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7271 solved: rounds:3,rules:2,peak:5,longest:15,steps:9,word:8,work:489,nodes:36,pairs:9,completionMax:49us [02m00s] 7271 ab:aaa=1,babbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7271 ab:aaa=1,babbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7272 solved: rounds:3,rules:2,peak:10,longest:15,steps:9,word:8,work:4513,nodes:42,pairs:61,completionMax:201us [02m00s] 7272 ab:aaa=1,babbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7272 ab:aaa=1,babbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7273 solved: rounds:5,rules:2,peak:5,longest:18,steps:9,word:11,work:1286,nodes:36,pairs:13,completionMax:85us [02m00s] 7273 ab:aaa=1,babbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 7273 ab:aaa=1,babbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 7274 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:12,pairs:0,completionMax:2us [02m00s] 7274 ab:aaa=1,bbaaabb=1 infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [02m00s] from: 7274 ab:aaa=1,bbaaabb=1 infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 7275 solved: rounds:4,rules:2,peak:8,longest:17,steps:5,word:8,work:3695,nodes:70,pairs:54,completionMax:265us [02m00s] 7275 ab:aaa=1,bbaabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [02m00s] from: 7275 ab:aaa=1,bbaabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [02m00s] # 7276 solved: rounds:4,rules:5,peak:23,longest:57,steps:63,word:46,work:352443,nodes:244,pairs:314,completionMax:12373us [02m00s] 7276 ab:aaa=1,bbababb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=babbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbabbbbbbbbbbbbbbbbbbbb [02m00s] from: 7276 ab:aaa=1,bbababb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 7277 solved: rounds:5,rules:2,peak:7,longest:18,steps:7,word:11,work:1769,nodes:36,pairs:22,completionMax:105us [02m00s] 7277 ab:aaa=1,bbabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 7277 ab:aaa=1,bbabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 7278 solved: rounds:5,rules:2,peak:5,longest:18,steps:7,word:11,work:936,nodes:36,pairs:21,completionMax:60us [02m00s] 7278 ab:aaa=1,bbbabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 7278 ab:aaa=1,bbbabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 7279 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:3us [02m00s] 7279 ab:aaa=1,bbbbbbb=1 infinite;group:a-aa,b-bbbbbb ab - - ab:aaa=1,bbbbbbb=1 [02m00s] # 7280 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:4,work:9,nodes:14,pairs:2,completionMax:6us [02m00s] 7280 ab:aab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7280 ab:aab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7281 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:13,nodes:8,pairs:2,completionMax:5us [02m00s] 7281 ab:aab=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7281 ab:aab=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7282 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:12,nodes:8,pairs:2,completionMax:9us [02m00s] 7282 ab:aab=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7282 ab:aab=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7283 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:3us [02m00s] 7283 ab:aab=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7283 ab:aab=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7284 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:11,nodes:8,pairs:2,completionMax:7us [02m00s] 7284 ab:aab=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7284 ab:aab=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7285 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:4us [02m00s] 7285 ab:aab=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7285 ab:aab=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7286 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:2us [02m00s] 7286 ab:aab=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7286 ab:aab=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7287 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [02m00s] 7287 ab:aab=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7287 ab:aab=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7288 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:10,nodes:8,pairs:2,completionMax:6us [02m00s] 7288 ab:aab=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7288 ab:aab=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7289 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:4us [02m00s] 7289 ab:aab=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7289 ab:aab=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7290 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:3us [02m00s] 7290 ab:aab=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7290 ab:aab=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7291 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:3us [02m00s] 7291 ab:aab=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7291 ab:aab=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7292 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:109,nodes:12,pairs:16,completionMax:29us [02m00s] 7292 ab:aab=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7292 ab:aab=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7293 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:10,pairs:4,completionMax:9us [02m00s] 7293 ab:aab=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7293 ab:aab=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7294 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:13,completionMax:23us [02m00s] 7294 ab:aab=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7294 ab:aab=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7295 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:34,nodes:12,pairs:5,completionMax:16us [02m00s] 7295 ab:aab=1,aaabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7295 ab:aab=1,aaabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7296 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:9,nodes:8,pairs:2,completionMax:9us [02m00s] 7296 ab:aab=1,aabaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7296 ab:aab=1,aabaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7297 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:2us [02m00s] 7297 ab:aab=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7297 ab:aab=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7298 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:4us [02m00s] 7298 ab:aab=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7298 ab:aab=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7299 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:3us [02m00s] 7299 ab:aab=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7299 ab:aab=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7300 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:108,nodes:12,pairs:16,completionMax:27us [02m00s] 7300 ab:aab=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7300 ab:aab=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7301 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:10,pairs:4,completionMax:12us [02m00s] 7301 ab:aab=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7301 ab:aab=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7302 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:13,completionMax:27us [02m00s] 7302 ab:aab=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7302 ab:aab=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7303 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:33,nodes:12,pairs:5,completionMax:18us [02m00s] 7303 ab:aab=1,aababbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7303 ab:aab=1,aababbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7304 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:123,nodes:12,pairs:14,completionMax:30us [02m00s] 7304 ab:aab=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7304 ab:aab=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7305 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:5us [02m00s] 7305 ab:aab=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7305 ab:aab=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7306 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:95,nodes:14,pairs:12,completionMax:40us [02m00s] 7306 ab:aab=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7306 ab:aab=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7307 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:99,nodes:16,pairs:10,completionMax:24us [02m00s] 7307 ab:aab=1,aabbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7307 ab:aab=1,aabbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7308 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:129,nodes:14,pairs:9,completionMax:24us [02m00s] 7308 ab:aab=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7308 ab:aab=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7309 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:234,nodes:16,pairs:18,completionMax:38us [02m00s] 7309 ab:aab=1,aabbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7309 ab:aab=1,aabbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7310 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:139,nodes:14,pairs:11,completionMax:25us [02m00s] 7310 ab:aab=1,aabbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7310 ab:aab=1,aabbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7311 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:101,nodes:16,pairs:13,completionMax:28us [02m00s] 7311 ab:aab=1,aabbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7311 ab:aab=1,aabbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7312 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:2,work:397,nodes:20,pairs:25,completionMax:57us [02m00s] 7312 ab:aab=1,abaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7312 ab:aab=1,abaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7313 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:112,nodes:12,pairs:16,completionMax:21us [02m00s] 7313 ab:aab=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7313 ab:aab=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7314 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:111,nodes:12,pairs:16,completionMax:18us [02m00s] 7314 ab:aab=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7314 ab:aab=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7315 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:10,pairs:4,completionMax:7us [02m00s] 7315 ab:aab=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7315 ab:aab=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7316 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:110,nodes:12,pairs:16,completionMax:13us [02m00s] 7316 ab:aab=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7316 ab:aab=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7317 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:4,completionMax:5us [02m00s] 7317 ab:aab=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7317 ab:aab=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7318 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:13,completionMax:17us [02m00s] 7318 ab:aab=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7318 ab:aab=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7319 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:35,nodes:12,pairs:5,completionMax:11us [02m00s] 7319 ab:aab=1,abaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7319 ab:aab=1,abaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7320 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:437,nodes:20,pairs:21,completionMax:34us [02m00s] 7320 ab:aab=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7320 ab:aab=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7321 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:10,pairs:4,completionMax:13us [02m00s] 7321 ab:aab=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7321 ab:aab=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7322 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:140,nodes:18,pairs:16,completionMax:34us [02m00s] 7322 ab:aab=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7322 ab:aab=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7323 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:2,work:61,nodes:16,pairs:8,completionMax:18us [02m00s] 7323 ab:aab=1,abababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7323 ab:aab=1,abababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7324 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:351,nodes:22,pairs:16,completionMax:43us [02m00s] 7324 ab:aab=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7324 ab:aab=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7325 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:259,nodes:20,pairs:21,completionMax:44us [02m00s] 7325 ab:aab=1,ababbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7325 ab:aab=1,ababbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7326 solved: rounds:3,rules:2,peak:7,longest:14,steps:23,word:8,work:1763,nodes:34,pairs:23,completionMax:87us [02m00s] 7326 ab:aab=1,ababbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7326 ab:aab=1,ababbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7327 solved: rounds:5,rules:2,peak:6,longest:8,steps:4,word:5,work:166,nodes:20,pairs:14,completionMax:34us [02m00s] 7327 ab:aab=1,ababbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7327 ab:aab=1,ababbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7328 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:0,work:418,nodes:24,pairs:18,completionMax:34us [02m00s] 7328 ab:aab=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7328 ab:aab=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7329 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:12,pairs:13,completionMax:18us [02m00s] 7329 ab:aab=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7329 ab:aab=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7330 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:13,completionMax:16us [02m00s] 7330 ab:aab=1,abbaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7330 ab:aab=1,abbaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7331 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:36,nodes:12,pairs:5,completionMax:15us [02m00s] 7331 ab:aab=1,abbaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7331 ab:aab=1,abbaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7332 solved: rounds:3,rules:2,peak:5,longest:7,steps:7,word:0,work:434,nodes:24,pairs:19,completionMax:43us [02m00s] 7332 ab:aab=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7332 ab:aab=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7333 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:4,work:321,nodes:24,pairs:32,completionMax:68us [02m00s] 7333 ab:aab=1,abbabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7333 ab:aab=1,abbabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7334 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:4,work:738,nodes:24,pairs:26,completionMax:66us [02m00s] 7334 ab:aab=1,abbabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7334 ab:aab=1,abbabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7335 solved: rounds:4,rules:2,peak:8,longest:8,steps:5,word:5,work:681,nodes:24,pairs:41,completionMax:84us [02m00s] 7335 ab:aab=1,abbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7335 ab:aab=1,abbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7336 solved: rounds:3,rules:2,peak:5,longest:7,steps:8,word:0,work:383,nodes:24,pairs:18,completionMax:41us [02m00s] 7336 ab:aab=1,abbbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7336 ab:aab=1,abbbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7337 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:37,nodes:12,pairs:5,completionMax:17us [02m00s] 7337 ab:aab=1,abbbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7337 ab:aab=1,abbbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7338 solved: rounds:2,rules:2,peak:6,longest:10,steps:24,word:6,work:1129,nodes:26,pairs:18,completionMax:96us [02m00s] 7338 ab:aab=1,abbbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7338 ab:aab=1,abbbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7339 solved: rounds:4,rules:2,peak:7,longest:8,steps:5,word:5,work:567,nodes:24,pairs:20,completionMax:88us [02m00s] 7339 ab:aab=1,abbbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7339 ab:aab=1,abbbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7340 solved: rounds:2,rules:2,peak:6,longest:8,steps:24,word:6,work:1163,nodes:26,pairs:16,completionMax:85us [02m00s] 7340 ab:aab=1,abbbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7340 ab:aab=1,abbbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7341 solved: rounds:3,rules:2,peak:8,longest:8,steps:3,word:5,work:593,nodes:24,pairs:44,completionMax:131us [02m00s] 7341 ab:aab=1,abbbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7341 ab:aab=1,abbbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7342 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:5,work:572,nodes:24,pairs:21,completionMax:74us [02m00s] 7342 ab:aab=1,abbbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7342 ab:aab=1,abbbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7343 solved: rounds:5,rules:2,peak:6,longest:11,steps:7,word:8,work:641,nodes:24,pairs:17,completionMax:74us [02m00s] 7343 ab:aab=1,abbbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7343 ab:aab=1,abbbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7344 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:2,work:310,nodes:24,pairs:20,completionMax:51us [02m00s] 7344 ab:aab=1,baaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7344 ab:aab=1,baaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7345 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:127,nodes:12,pairs:14,completionMax:27us [02m00s] 7345 ab:aab=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7345 ab:aab=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7346 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:126,nodes:12,pairs:14,completionMax:25us [02m00s] 7346 ab:aab=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7346 ab:aab=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7347 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:2us [02m00s] 7347 ab:aab=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7347 ab:aab=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7348 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:125,nodes:12,pairs:14,completionMax:23us [02m00s] 7348 ab:aab=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7348 ab:aab=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7349 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:5us [02m00s] 7349 ab:aab=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7349 ab:aab=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7350 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:97,nodes:14,pairs:12,completionMax:48us [02m00s] 7350 ab:aab=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7350 ab:aab=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7351 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:101,nodes:16,pairs:10,completionMax:32us [02m00s] 7351 ab:aab=1,baaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7351 ab:aab=1,baaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7352 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:124,nodes:12,pairs:14,completionMax:33us [02m00s] 7352 ab:aab=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7352 ab:aab=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7353 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [02m00s] 7353 ab:aab=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7353 ab:aab=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7354 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:96,nodes:14,pairs:12,completionMax:28us [02m00s] 7354 ab:aab=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7354 ab:aab=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7355 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:100,nodes:16,pairs:10,completionMax:30us [02m00s] 7355 ab:aab=1,baababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7355 ab:aab=1,baababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7356 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:130,nodes:14,pairs:9,completionMax:28us [02m00s] 7356 ab:aab=1,baabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7356 ab:aab=1,baabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7357 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:235,nodes:16,pairs:18,completionMax:51us [02m00s] 7357 ab:aab=1,baabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7357 ab:aab=1,baabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7358 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:140,nodes:14,pairs:11,completionMax:26us [02m00s] 7358 ab:aab=1,baabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7358 ab:aab=1,baabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7359 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:102,nodes:16,pairs:13,completionMax:30us [02m00s] 7359 ab:aab=1,baabbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7359 ab:aab=1,baabbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7360 solved: rounds:3,rules:2,peak:5,longest:7,steps:8,word:0,work:365,nodes:26,pairs:19,completionMax:36us [02m00s] 7360 ab:aab=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7360 ab:aab=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7361 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:99,nodes:14,pairs:12,completionMax:26us [02m00s] 7361 ab:aab=1,babaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7361 ab:aab=1,babaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7362 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:14,pairs:12,completionMax:17us [02m00s] 7362 ab:aab=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7362 ab:aab=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7363 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:102,nodes:16,pairs:10,completionMax:25us [02m00s] 7363 ab:aab=1,babaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7363 ab:aab=1,babaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7364 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:0,work:496,nodes:26,pairs:19,completionMax:38us [02m00s] 7364 ab:aab=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7364 ab:aab=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7365 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:4,work:297,nodes:22,pairs:16,completionMax:41us [02m00s] 7365 ab:aab=1,bababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7365 ab:aab=1,bababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7366 solved: rounds:2,rules:2,peak:9,longest:7,steps:10,word:2,work:1268,nodes:32,pairs:30,completionMax:116us [02m00s] 7366 ab:aab=1,bababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7366 ab:aab=1,bababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7367 solved: rounds:3,rules:2,peak:9,longest:8,steps:3,word:5,work:1264,nodes:26,pairs:58,completionMax:137us [02m00s] 7367 ab:aab=1,bababbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7367 ab:aab=1,bababbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7368 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:0,work:552,nodes:26,pairs:16,completionMax:48us [02m00s] 7368 ab:aab=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7368 ab:aab=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7369 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:103,nodes:16,pairs:10,completionMax:28us [02m00s] 7369 ab:aab=1,babbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7369 ab:aab=1,babbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7370 solved: rounds:3,rules:2,peak:12,longest:7,steps:3,word:2,work:1169,nodes:36,pairs:42,completionMax:142us [02m00s] 7370 ab:aab=1,babbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7370 ab:aab=1,babbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7371 solved: rounds:4,rules:2,peak:6,longest:8,steps:5,word:5,work:480,nodes:28,pairs:21,completionMax:65us [02m00s] 7371 ab:aab=1,babbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7371 ab:aab=1,babbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7372 solved: rounds:2,rules:2,peak:5,longest:8,steps:25,word:6,work:1451,nodes:26,pairs:20,completionMax:62us [02m00s] 7372 ab:aab=1,babbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7372 ab:aab=1,babbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7373 solved: rounds:3,rules:2,peak:9,longest:8,steps:4,word:5,work:1127,nodes:34,pairs:47,completionMax:104us [02m00s] 7373 ab:aab=1,babbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7373 ab:aab=1,babbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7374 solved: rounds:4,rules:2,peak:9,longest:8,steps:5,word:5,work:970,nodes:34,pairs:41,completionMax:93us [02m00s] 7374 ab:aab=1,babbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7374 ab:aab=1,babbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7375 solved: rounds:3,rules:2,peak:10,longest:11,steps:4,word:8,work:2082,nodes:36,pairs:35,completionMax:126us [02m00s] 7375 ab:aab=1,babbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7375 ab:aab=1,babbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7376 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:0,work:211,nodes:26,pairs:13,completionMax:35us [02m00s] 7376 ab:aab=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7376 ab:aab=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7377 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:133,nodes:14,pairs:9,completionMax:18us [02m00s] 7377 ab:aab=1,bbaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7377 ab:aab=1,bbaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7378 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:132,nodes:14,pairs:9,completionMax:26us [02m00s] 7378 ab:aab=1,bbaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7378 ab:aab=1,bbaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7379 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:237,nodes:16,pairs:18,completionMax:35us [02m00s] 7379 ab:aab=1,bbaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7379 ab:aab=1,bbaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7380 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:131,nodes:14,pairs:9,completionMax:31us [02m00s] 7380 ab:aab=1,bbaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7380 ab:aab=1,bbaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7381 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:236,nodes:16,pairs:18,completionMax:39us [02m00s] 7381 ab:aab=1,bbaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7381 ab:aab=1,bbaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7382 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:141,nodes:14,pairs:11,completionMax:21us [02m00s] 7382 ab:aab=1,bbaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7382 ab:aab=1,bbaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7383 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:103,nodes:16,pairs:13,completionMax:33us [02m00s] 7383 ab:aab=1,bbaabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7383 ab:aab=1,bbaabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7384 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:334,nodes:26,pairs:13,completionMax:31us [02m00s] 7384 ab:aab=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7384 ab:aab=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7385 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:238,nodes:16,pairs:18,completionMax:34us [02m00s] 7385 ab:aab=1,bbabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7385 ab:aab=1,bbabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7386 solved: rounds:2,rules:2,peak:10,longest:9,steps:4,word:4,work:803,nodes:38,pairs:16,completionMax:66us [02m00s] 7386 ab:aab=1,bbababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7386 ab:aab=1,bbababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7387 solved: rounds:4,rules:2,peak:8,longest:8,steps:6,word:5,work:855,nodes:30,pairs:31,completionMax:85us [02m00s] 7387 ab:aab=1,bbababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7387 ab:aab=1,bbababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7388 solved: rounds:2,rules:2,peak:6,longest:8,steps:25,word:6,work:1370,nodes:26,pairs:21,completionMax:68us [02m00s] 7388 ab:aab=1,bbabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7388 ab:aab=1,bbabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7389 solved: rounds:4,rules:2,peak:6,longest:8,steps:4,word:5,work:345,nodes:20,pairs:22,completionMax:46us [02m00s] 7389 ab:aab=1,bbabbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7389 ab:aab=1,bbabbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7390 solved: rounds:4,rules:2,peak:8,longest:8,steps:6,word:5,work:786,nodes:32,pairs:28,completionMax:78us [02m00s] 7390 ab:aab=1,bbabbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7390 ab:aab=1,bbabbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7391 solved: rounds:5,rules:2,peak:7,longest:11,steps:8,word:8,work:1384,nodes:32,pairs:45,completionMax:152us [02m00s] 7391 ab:aab=1,bbabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7391 ab:aab=1,bbabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7392 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:0,work:274,nodes:24,pairs:11,completionMax:32us [02m00s] 7392 ab:aab=1,bbbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7392 ab:aab=1,bbbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7393 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:143,nodes:14,pairs:11,completionMax:35us [02m00s] 7393 ab:aab=1,bbbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7393 ab:aab=1,bbbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7394 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:142,nodes:14,pairs:11,completionMax:32us [02m00s] 7394 ab:aab=1,bbbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7394 ab:aab=1,bbbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7395 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:104,nodes:16,pairs:13,completionMax:35us [02m00s] 7395 ab:aab=1,bbbaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7395 ab:aab=1,bbbaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7396 solved: rounds:2,rules:2,peak:5,longest:9,steps:25,word:6,work:1276,nodes:24,pairs:20,completionMax:80us [02m00s] 7396 ab:aab=1,bbbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7396 ab:aab=1,bbbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7397 solved: rounds:4,rules:2,peak:9,longest:9,steps:5,word:10,work:1287,nodes:34,pairs:41,completionMax:164us [02m00s] 7397 ab:aab=1,bbbabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7397 ab:aab=1,bbbabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7398 solved: rounds:3,rules:2,peak:8,longest:8,steps:3,word:5,work:587,nodes:26,pairs:30,completionMax:76us [02m00s] 7398 ab:aab=1,bbbabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7398 ab:aab=1,bbbabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7399 solved: rounds:5,rules:2,peak:8,longest:11,steps:7,word:8,work:1463,nodes:26,pairs:34,completionMax:132us [02m00s] 7399 ab:aab=1,bbbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7399 ab:aab=1,bbbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7400 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:6,work:887,nodes:34,pairs:36,completionMax:116us [02m00s] 7400 ab:aab=1,bbbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7400 ab:aab=1,bbbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7401 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:105,nodes:16,pairs:13,completionMax:26us [02m00s] 7401 ab:aab=1,bbbbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7401 ab:aab=1,bbbbaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7402 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:5,work:284,nodes:24,pairs:19,completionMax:56us [02m00s] 7402 ab:aab=1,bbbbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7402 ab:aab=1,bbbbaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7403 solved: rounds:4,rules:2,peak:9,longest:18,steps:61,word:16,work:9777,nodes:46,pairs:51,completionMax:360us [02m00s] 7403 ab:aab=1,bbbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7403 ab:aab=1,bbbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7404 solved: rounds:4,rules:2,peak:6,longest:8,steps:7,word:5,work:874,nodes:20,pairs:21,completionMax:83us [02m00s] 7404 ab:aab=1,bbbbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7404 ab:aab=1,bbbbbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7405 solved: rounds:3,rules:2,peak:10,longest:11,steps:5,word:8,work:1906,nodes:34,pairs:42,completionMax:183us [02m00s] 7405 ab:aab=1,bbbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7405 ab:aab=1,bbbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7406 solved: rounds:5,rules:2,peak:9,longest:11,steps:9,word:8,work:1677,nodes:22,pairs:43,completionMax:154us [02m00s] 7406 ab:aab=1,bbbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7406 ab:aab=1,bbbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7407 solved: rounds:6,rules:2,peak:5,longest:14,steps:6,word:11,work:1016,nodes:28,pairs:22,completionMax:114us [02m00s] 7407 ab:aab=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [02m00s] from: 7407 ab:aab=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbbbbbb [02m00s] # 7408 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:4,work:95,nodes:18,pairs:7,completionMax:25us [02m00s] 7408 ab:aba=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7408 ab:aba=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7409 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:1,work:267,nodes:16,pairs:14,completionMax:34us [02m00s] 7409 ab:aba=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7409 ab:aba=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7410 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:66,nodes:12,pairs:7,completionMax:13us [02m00s] 7410 ab:aba=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7410 ab:aba=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7411 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:113,nodes:20,pairs:9,completionMax:28us [02m00s] 7411 ab:aba=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7411 ab:aba=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7412 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:65,nodes:12,pairs:7,completionMax:16us [02m00s] 7412 ab:aba=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7412 ab:aba=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7413 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:73,nodes:12,pairs:12,completionMax:17us [02m00s] 7413 ab:aba=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7413 ab:aba=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7414 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:201,nodes:18,pairs:20,completionMax:30us [02m00s] 7414 ab:aba=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7414 ab:aba=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7415 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:0,work:114,nodes:22,pairs:11,completionMax:32us [02m00s] 7415 ab:aba=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7415 ab:aba=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7416 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:64,nodes:12,pairs:7,completionMax:22us [02m00s] 7416 ab:aba=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7416 ab:aba=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7417 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:72,nodes:12,pairs:12,completionMax:21us [02m00s] 7417 ab:aba=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7417 ab:aba=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7418 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:6,pairs:2,completionMax:5us [02m00s] 7418 ab:aba=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7418 ab:aba=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7419 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:69,nodes:12,pairs:9,completionMax:22us [02m00s] 7419 ab:aba=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7419 ab:aba=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7420 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:0,work:187,nodes:18,pairs:33,completionMax:65us [02m00s] 7420 ab:aba=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7420 ab:aba=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7421 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:141,nodes:18,pairs:15,completionMax:26us [02m00s] 7421 ab:aba=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7421 ab:aba=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7422 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:205,nodes:18,pairs:19,completionMax:33us [02m00s] 7422 ab:aba=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7422 ab:aba=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7423 solved: rounds:3,rules:2,peak:5,longest:7,steps:12,word:6,work:654,nodes:26,pairs:27,completionMax:62us [02m00s] 7423 ab:aba=1,aaabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7423 ab:aba=1,aaabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7424 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:71,nodes:12,pairs:12,completionMax:24us [02m00s] 7424 ab:aba=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7424 ab:aba=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7425 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:2,completionMax:4us [02m00s] 7425 ab:aba=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7425 ab:aba=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7426 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:68,nodes:12,pairs:9,completionMax:22us [02m00s] 7426 ab:aba=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7426 ab:aba=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7427 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:6us [02m00s] 7427 ab:aba=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7427 ab:aba=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7428 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [02m00s] 7428 ab:aba=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7428 ab:aba=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7429 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:102,nodes:10,pairs:11,completionMax:31us [02m00s] 7429 ab:aba=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7429 ab:aba=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7430 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:4,work:349,nodes:22,pairs:13,completionMax:54us [02m00s] 7430 ab:aba=1,aababbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7430 ab:aba=1,aababbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7431 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:202,nodes:18,pairs:17,completionMax:40us [02m00s] 7431 ab:aba=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7431 ab:aba=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7432 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:71,nodes:12,pairs:9,completionMax:16us [02m00s] 7432 ab:aba=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7432 ab:aba=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7433 solved: rounds:3,rules:2,peak:5,longest:7,steps:10,word:6,work:608,nodes:26,pairs:26,completionMax:56us [02m00s] 7433 ab:aba=1,aabbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7433 ab:aba=1,aabbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7434 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:355,nodes:18,pairs:22,completionMax:50us [02m00s] 7434 ab:aba=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7434 ab:aba=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7435 solved: rounds:2,rules:2,peak:6,longest:9,steps:13,word:6,work:845,nodes:28,pairs:11,completionMax:52us [02m00s] 7435 ab:aba=1,aabbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7435 ab:aba=1,aabbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7436 solved: rounds:6,rules:2,peak:4,longest:7,steps:9,word:2,work:723,nodes:26,pairs:18,completionMax:59us [02m00s] 7436 ab:aba=1,aabbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7436 ab:aba=1,aabbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7437 solved: rounds:5,rules:2,peak:6,longest:8,steps:10,word:5,work:787,nodes:26,pairs:21,completionMax:72us [02m00s] 7437 ab:aba=1,aabbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7437 ab:aba=1,aabbbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7438 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:70,nodes:12,pairs:12,completionMax:21us [02m00s] 7438 ab:aba=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7438 ab:aba=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7439 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:7us [02m00s] 7439 ab:aba=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7439 ab:aba=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7440 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:9,completionMax:23us [02m00s] 7440 ab:aba=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7440 ab:aba=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7441 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [02m00s] 7441 ab:aba=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7441 ab:aba=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7442 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:101,nodes:10,pairs:11,completionMax:19us [02m00s] 7442 ab:aba=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7442 ab:aba=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7443 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:4,work:348,nodes:22,pairs:13,completionMax:53us [02m00s] 7443 ab:aba=1,abaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7443 ab:aba=1,abaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7444 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:52,nodes:12,pairs:12,completionMax:15us [02m00s] 7444 ab:aba=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7444 ab:aba=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7445 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [02m00s] 7445 ab:aba=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7445 ab:aba=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7446 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:87,nodes:12,pairs:10,completionMax:26us [02m00s] 7446 ab:aba=1,abababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7446 ab:aba=1,abababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7447 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:109,nodes:12,pairs:10,completionMax:17us [02m00s] 7447 ab:aba=1,ababbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7447 ab:aba=1,ababbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7448 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:4,work:382,nodes:22,pairs:14,completionMax:57us [02m00s] 7448 ab:aba=1,ababbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7448 ab:aba=1,ababbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7449 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:233,nodes:16,pairs:11,completionMax:37us [02m00s] 7449 ab:aba=1,ababbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7449 ab:aba=1,ababbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7450 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:169,nodes:18,pairs:13,completionMax:43us [02m00s] 7450 ab:aba=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7450 ab:aba=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7451 solved: rounds:4,rules:2,peak:4,longest:7,steps:9,word:2,work:477,nodes:24,pairs:18,completionMax:40us [02m00s] 7451 ab:aba=1,abbaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7451 ab:aba=1,abbaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7452 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:4,work:351,nodes:22,pairs:13,completionMax:40us [02m00s] 7452 ab:aba=1,abbabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7452 ab:aba=1,abbabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7453 solved: rounds:6,rules:2,peak:4,longest:7,steps:8,word:2,work:561,nodes:24,pairs:20,completionMax:52us [02m00s] 7453 ab:aba=1,abbabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7453 ab:aba=1,abbabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7454 solved: rounds:5,rules:2,peak:6,longest:8,steps:9,word:5,work:882,nodes:24,pairs:20,completionMax:54us [02m00s] 7454 ab:aba=1,abbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7454 ab:aba=1,abbabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7455 solved: rounds:3,rules:2,peak:5,longest:10,steps:13,word:6,work:683,nodes:30,pairs:19,completionMax:51us [02m00s] 7455 ab:aba=1,abbbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7455 ab:aba=1,abbbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7456 solved: rounds:5,rules:2,peak:6,longest:8,steps:8,word:5,work:830,nodes:24,pairs:20,completionMax:74us [02m00s] 7456 ab:aba=1,abbbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7456 ab:aba=1,abbbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7457 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:5,work:497,nodes:22,pairs:20,completionMax:61us [02m00s] 7457 ab:aba=1,abbbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7457 ab:aba=1,abbbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7458 solved: rounds:7,rules:2,peak:4,longest:8,steps:6,word:5,work:526,nodes:24,pairs:21,completionMax:53us [02m00s] 7458 ab:aba=1,abbbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7458 ab:aba=1,abbbbba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7459 solved: rounds:6,rules:2,peak:5,longest:11,steps:7,word:8,work:1212,nodes:24,pairs:21,completionMax:68us [02m00s] 7459 ab:aba=1,abbbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7459 ab:aba=1,abbbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7460 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:249,nodes:24,pairs:22,completionMax:31us [02m00s] 7460 ab:aba=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7460 ab:aba=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7461 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:182,nodes:24,pairs:15,completionMax:32us [02m00s] 7461 ab:aba=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7461 ab:aba=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7462 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:55,nodes:12,pairs:12,completionMax:15us [02m00s] 7462 ab:aba=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7462 ab:aba=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7463 solved: rounds:3,rules:2,peak:6,longest:8,steps:13,word:6,work:862,nodes:26,pairs:23,completionMax:60us [02m00s] 7463 ab:aba=1,baaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7463 ab:aba=1,baaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7464 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:54,nodes:12,pairs:12,completionMax:15us [02m00s] 7464 ab:aba=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7464 ab:aba=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7465 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:89,nodes:12,pairs:10,completionMax:19us [02m00s] 7465 ab:aba=1,baababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7465 ab:aba=1,baababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7466 solved: rounds:3,rules:2,peak:6,longest:8,steps:13,word:6,work:782,nodes:26,pairs:23,completionMax:57us [02m00s] 7466 ab:aba=1,baabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7466 ab:aba=1,baabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7467 solved: rounds:4,rules:2,peak:6,longest:12,steps:13,word:10,work:1040,nodes:30,pairs:20,completionMax:72us [02m00s] 7467 ab:aba=1,baabbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7467 ab:aba=1,baabbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7468 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:88,nodes:12,pairs:10,completionMax:16us [02m00s] 7468 ab:aba=1,babaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7468 ab:aba=1,babaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7469 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:110,nodes:12,pairs:10,completionMax:23us [02m00s] 7469 ab:aba=1,bababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7469 ab:aba=1,bababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7470 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:234,nodes:16,pairs:11,completionMax:37us [02m00s] 7470 ab:aba=1,bababbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7470 ab:aba=1,bababbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7471 solved: rounds:4,rules:2,peak:6,longest:12,steps:11,word:10,work:965,nodes:30,pairs:20,completionMax:86us [02m00s] 7471 ab:aba=1,babbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7471 ab:aba=1,babbabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7472 solved: rounds:5,rules:2,peak:4,longest:8,steps:10,word:5,work:520,nodes:24,pairs:19,completionMax:47us [02m00s] 7472 ab:aba=1,babbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7472 ab:aba=1,babbbab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7473 solved: rounds:5,rules:2,peak:5,longest:11,steps:8,word:8,work:1057,nodes:24,pairs:18,completionMax:77us [02m00s] 7473 ab:aba=1,babbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7473 ab:aba=1,babbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7474 solved: rounds:5,rules:2,peak:4,longest:7,steps:9,word:2,work:283,nodes:18,pairs:13,completionMax:33us [02m00s] 7474 ab:aba=1,bbaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7474 ab:aba=1,bbaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7475 solved: rounds:6,rules:2,peak:4,longest:8,steps:10,word:5,work:459,nodes:18,pairs:15,completionMax:36us [02m00s] 7475 ab:aba=1,bbaabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7475 ab:aba=1,bbaabbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7476 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:235,nodes:16,pairs:11,completionMax:25us [02m00s] 7476 ab:aba=1,bbababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7476 ab:aba=1,bbababb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7477 solved: rounds:8,rules:2,peak:4,longest:11,steps:9,word:8,work:958,nodes:22,pairs:18,completionMax:90us [02m00s] 7477 ab:aba=1,bbabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7477 ab:aba=1,bbabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7478 solved: rounds:8,rules:2,peak:4,longest:11,steps:8,word:8,work:933,nodes:22,pairs:19,completionMax:119us [02m00s] 7478 ab:aba=1,bbbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 7478 ab:aba=1,bbbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 7479 solved: rounds:8,rules:2,peak:4,longest:14,steps:12,word:11,work:1367,nodes:28,pairs:15,completionMax:129us [02m00s] 7479 ab:aba=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [02m00s] from: 7479 ab:aba=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbbbbbb [02m00s] # 7480 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:2us [02m00s] 7480 ab:aaa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [02m00s] from: 7480 ab:aaa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [02m00s] # 7481 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [02m00s] 7481 ab:aaa=1,aaaaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 7481 ab:aaa=1,aaaaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 7482 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:14,nodes:6,pairs:2,completionMax:4us [02m00s] 7482 ab:aaa=1,aaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [02m00s] from: 7482 ab:aaa=1,aaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [02m00s] # 7483 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:6,pairs:2,completionMax:4us [02m00s] 7483 ab:aaa=1,aaaaab=b infinite ab - - ab:ab=b,aaa=1 [02m00s] from: 7483 ab:aaa=1,aaaaab=b infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [02m00s] # 7484 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:1,work:30,nodes:10,pairs:4,completionMax:14us [02m00s] 7484 ab:aaa=1,aaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [02m00s] from: 7484 ab:aaa=1,aaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [02m00s] # 7485 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:3,work:64,nodes:8,pairs:3,completionMax:17us [02m00s] 7485 ab:aaa=1,aaaaba=b infinite a/b - - ab:aaa=1,ab=baa [02m00s] from: 7485 ab:aaa=1,aaaaba=b infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [02m00s] # 7486 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:4us [02m00s] 7486 ab:aaa=1,aaaabb=a infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [02m00s] from: 7486 ab:aaa=1,aaaabb=a infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [02m00s] # 7487 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:1,work:38,nodes:12,pairs:6,completionMax:18us [02m00s] 7487 ab:aaa=1,aaaabb=b finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [02m00s] from: 7487 ab:aaa=1,aaaabb=b finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [02m00s] # 7488 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:13,nodes:10,pairs:2,completionMax:5us [02m00s] 7488 ab:aaa=1,aaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [02m00s] from: 7488 ab:aaa=1,aaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [02m00s] # 7489 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:10,pairs:2,completionMax:4us [02m00s] 7489 ab:aaa=1,aaabaa=b infinite ab - - ab:ba=b,aaa=1 [02m00s] from: 7489 ab:aaa=1,aaabaa=b infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [02m00s] # 7490 solved: rounds:2,rules:3,peak:5,longest:3,steps:3,word:0,work:76,nodes:10,pairs:4,completionMax:12us [02m00s] 7490 ab:aaa=1,aaabab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 7490 ab:aaa=1,aaabab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 7491 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:1us [02m00s] 7491 ab:aaa=1,aaabab=b infinite ab - - ab:aaa=1,bab=b [02m00s] from: 7491 ab:aaa=1,aaabab=b infinite to: 2576 ab:aaa=1,abab=ab infinite a=a,b=b [02m00s] # 7492 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:4us [02m00s] 7492 ab:aaa=1,aaabba=a infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [02m00s] from: 7492 ab:aaa=1,aaabba=a infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [02m00s] # 7493 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:1,work:34,nodes:12,pairs:3,completionMax:12us [02m00s] 7493 ab:aaa=1,aaabba=b finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [02m00s] from: 7493 ab:aaa=1,aaabba=b finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [02m00s] # 7494 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:57,nodes:18,pairs:3,completionMax:11us [02m00s] 7494 ab:aaa=1,aaabbb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7494 ab:aaa=1,aaabbb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7495 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [02m00s] 7495 ab:aaa=1,aaabbb=b infinite ab - - ab:aaa=1,bbb=b [02m00s] from: 7495 ab:aaa=1,aaabbb=b infinite to: 2583 ab:aaa=1,abbb=ab infinite a=a,b=b [02m00s] # 7496 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:158,nodes:18,pairs:13,completionMax:25us [02m00s] 7496 ab:aaa=1,aabaab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 7496 ab:aaa=1,aabaab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 7497 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:196,nodes:18,pairs:19,completionMax:32us [02m00s] 7497 ab:aaa=1,aabaab=b finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [02m00s] from: 7497 ab:aaa=1,aabaab=b finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [02m00s] # 7498 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:280,nodes:18,pairs:20,completionMax:36us [02m00s] 7498 ab:aaa=1,aababa=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 7498 ab:aaa=1,aababa=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 7499 solved: rounds:4,rules:6,peak:6,longest:6,steps:8,word:3,work:897,nodes:26,pairs:19,completionMax:76us [02m00s] 7499 ab:aaa=1,aababa=b finite:24;idempotents:1,bbb;center:1,bbb reversed:a/b - - ab:aaa=1,bab=abaa,bba=aabaab,baabaa=abb,baabb=aaba,bbbb=b [02m00s] from: 7499 ab:aaa=1,aababa=b finite:24;idempotents:1,bbb;center:1,bbb to: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb anti:a=a,b=b [02m00s] # 7500 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1101,nodes:26,pairs:35,completionMax:129us [02m00s] 7500 ab:aaa=1,aababb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7500 ab:aaa=1,aababb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7501 solved: rounds:4,rules:4,peak:7,longest:6,steps:5,word:0,work:663,nodes:22,pairs:16,completionMax:45us [02m00s] 7501 ab:aaa=1,aababb=b finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [02m00s] from: 7501 ab:aaa=1,aababb=b finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [02m00s] # 7502 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:140,nodes:18,pairs:12,completionMax:24us [02m00s] 7502 ab:aaa=1,aabbaa=a infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [02m00s] from: 7502 ab:aaa=1,aabbaa=a infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [02m00s] # 7503 solved: rounds:4,rules:5,peak:6,longest:8,steps:16,word:1,work:1511,nodes:28,pairs:25,completionMax:96us [02m00s] 7503 ab:aaa=1,aabbaa=b finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [02m00s] from: 7503 ab:aaa=1,aabbaa=b finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [02m00s] # 7504 solved: rounds:3,rules:2,peak:6,longest:12,steps:13,word:4,work:706,nodes:36,pairs:17,completionMax:70us [02m00s] 7504 ab:aaa=1,aabbab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7504 ab:aaa=1,aabbab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7505 solved: rounds:3,rules:4,peak:4,longest:6,steps:2,word:0,work:119,nodes:18,pairs:6,completionMax:24us [02m00s] 7505 ab:aaa=1,aabbab=b infinite ab - - ab:aaa=1,bbb=b,bbab=ab,bbaab=aab [02m00s] from: 7505 ab:aaa=1,aabbab=b infinite to: 2591 ab:aaa=1,babb=ba infinite anti:a=a,b=b [02m00s] # 7506 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:4,work:267,nodes:32,pairs:15,completionMax:66us [02m00s] 7506 ab:aaa=1,aabbba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7506 ab:aaa=1,aabbba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7507 solved: rounds:4,rules:3,peak:4,longest:28,steps:35,word:16,work:1819,nodes:110,pairs:8,completionMax:119us [02m00s] 7507 ab:aaa=1,aabbba=b finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbbbbb,aaa=1 [02m00s] # 7508 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:112,nodes:32,pairs:7,completionMax:36us [02m00s] 7508 ab:aaa=1,aabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [02m00s] from: 7508 ab:aaa=1,aabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [02m00s] # 7509 solved: rounds:2,rules:3,peak:3,longest:10,steps:2,word:4,work:47,nodes:24,pairs:3,completionMax:16us [02m00s] 7509 ab:aaa=1,aabbbb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [02m00s] from: 7509 ab:aaa=1,aabbbb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [02m00s] # 7510 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:6us [02m00s] 7510 ab:aaa=1,abaaab=a infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [02m00s] from: 7510 ab:aaa=1,abaaab=a infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [02m00s] # 7511 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:1,work:40,nodes:12,pairs:6,completionMax:15us [02m00s] 7511 ab:aaa=1,abaaab=b finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [02m00s] from: 7511 ab:aaa=1,abaaab=b finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [02m00s] # 7512 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:370,nodes:26,pairs:23,completionMax:52us [02m00s] 7512 ab:aaa=1,abaaba=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 7512 ab:aaa=1,abaaba=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 7513 solved: rounds:4,rules:7,peak:8,longest:6,steps:9,word:3,work:2296,nodes:28,pairs:28,completionMax:132us [02m00s] 7513 ab:aaa=1,abaaba=b finite:27;idempotents:1,bbb;center:1,bbb,baba a/b - - ab:aaa=1,baab=aabaa,abab=baba,bbab=aabba,babb=abbaa,abbb=bbba,bbbb=b [02m00s] # 7514 solved: rounds:5,rules:2,peak:7,longest:10,steps:5,word:4,work:883,nodes:38,pairs:27,completionMax:88us [02m00s] 7514 ab:aaa=1,abaabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7514 ab:aaa=1,abaabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7515 solved: rounds:4,rules:4,peak:6,longest:7,steps:4,word:0,work:653,nodes:26,pairs:15,completionMax:57us [02m00s] 7515 ab:aaa=1,abaabb=b finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [02m00s] from: 7515 ab:aaa=1,abaabb=b finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [02m00s] # 7516 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:4,work:373,nodes:26,pairs:26,completionMax:82us [02m00s] 7516 ab:aaa=1,ababab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7516 ab:aaa=1,ababab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7517 solved: rounds:3,rules:4,peak:6,longest:6,steps:5,word:0,work:687,nodes:24,pairs:19,completionMax:51us [02m00s] 7517 ab:aaa=1,ababab=b finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [02m00s] from: 7517 ab:aaa=1,ababab=b finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [02m00s] # 7518 solved: rounds:3,rules:2,peak:5,longest:9,steps:14,word:6,work:383,nodes:26,pairs:13,completionMax:63us [02m00s] 7518 ab:aaa=1,ababba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7518 ab:aaa=1,ababba=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7519 solved: rounds:6,rules:11,peak:37,longest:20,steps:37,word:22,work:277362,nodes:342,pairs:659,completionMax:13095us [02m00s] 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbb=ba,bbbbbbba=abbbbbbb,baa=ababb,baba=abbbbbabbb,babba=aab,babbba=abbbabbbbbbbbbbb,babbbbba=abbbbabbbbbb,babbbbbba=abbabbbbb,bbabbbba=abbbbbbabbbb,aaa=1 [02m00s] # 7520 solved: rounds:6,rules:2,peak:5,longest:12,steps:5,word:7,work:489,nodes:24,pairs:12,completionMax:65us [02m00s] 7520 ab:aaa=1,ababbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [02m00s] from: 7520 ab:aaa=1,ababbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [02m00s] # 7521 solved: rounds:5,rules:3,peak:7,longest:10,steps:5,word:4,work:1212,nodes:40,pairs:21,completionMax:140us [02m00s] 7521 ab:aaa=1,ababbb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [02m00s] from: 7521 ab:aaa=1,ababbb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [02m00s] # 7522 solved: rounds:3,rules:2,peak:5,longest:9,steps:8,word:4,work:476,nodes:22,pairs:25,completionMax:68us [02m00s] 7522 ab:aaa=1,abbaab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7522 ab:aaa=1,abbaab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7523 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:249,nodes:22,pairs:9,completionMax:28us [02m00s] 7523 ab:aaa=1,abbaab=b infinite ab - - ab:aaa=1,bbb=b,bbab=ab,bbaab=aab [02m00s] from: 7523 ab:aaa=1,abbaab=b infinite to: 2591 ab:aaa=1,babb=ba infinite anti:a=a,b=b [02m00s] # 7524 solved: rounds:5,rules:2,peak:7,longest:12,steps:6,word:7,work:837,nodes:28,pairs:32,completionMax:100us [02m00s] 7524 ab:aaa=1,abbabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [02m00s] from: 7524 ab:aaa=1,abbabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [02m00s] # 7525 solved: rounds:2,rules:3,peak:5,longest:10,steps:4,word:4,work:302,nodes:28,pairs:8,completionMax:34us [02m00s] 7525 ab:aaa=1,abbabb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [02m00s] from: 7525 ab:aaa=1,abbabb=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [02m00s] # 7526 solved: rounds:6,rules:2,peak:6,longest:12,steps:7,word:7,work:992,nodes:30,pairs:31,completionMax:91us [02m00s] 7526 ab:aaa=1,abbbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [02m00s] from: 7526 ab:aaa=1,abbbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [02m00s] # 7527 solved: rounds:2,rules:3,peak:5,longest:10,steps:3,word:4,work:298,nodes:26,pairs:8,completionMax:31us [02m00s] 7527 ab:aaa=1,abbbab=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [02m00s] from: 7527 ab:aaa=1,abbbab=b finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [02m00s] # 7528 solved: rounds:4,rules:2,peak:5,longest:12,steps:4,word:7,work:194,nodes:24,pairs:12,completionMax:47us [02m00s] 7528 ab:aaa=1,abbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [02m00s] from: 7528 ab:aaa=1,abbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [02m00s] # 7529 solved: rounds:6,rules:11,peak:20,longest:96,steps:57,word:166,work:687954,nodes:642,pairs:108,completionMax:31853us [02m00s] 7529 ab:aaa=1,abbbba=b finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbba=abbbbb,aab=bbbba,abbba=babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbba=b,baa=abbbb,baba=abbabbbbbbbbb,bbbbabba=ababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1,abbabba=babbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [02m00s] # 7530 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:3,nodes:22,pairs:1,completionMax:13us [02m00s] 7530 ab:aaa=1,abbbbb=a infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [02m00s] from: 7530 ab:aaa=1,abbbbb=a infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [02m00s] # 7531 solved: rounds:3,rules:3,peak:4,longest:13,steps:1,word:7,work:85,nodes:30,pairs:5,completionMax:29us [02m00s] 7531 ab:aaa=1,abbbbb=b finite:39;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbbbbbb,aaa=1 [02m00s] # 7532 solved: rounds:2,rules:3,peak:5,longest:3,steps:3,word:0,work:77,nodes:10,pairs:4,completionMax:22us [02m00s] 7532 ab:aaa=1,baaaab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 7532 ab:aaa=1,baaaab=a finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 7533 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [02m00s] 7533 ab:aaa=1,baaaab=b infinite ab - - ab:aaa=1,bab=b [02m00s] from: 7533 ab:aaa=1,baaaab=b infinite to: 2576 ab:aaa=1,abab=ab infinite a=a,b=b [02m00s] # 7534 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:58,nodes:18,pairs:3,completionMax:15us [02m00s] 7534 ab:aaa=1,baaabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7534 ab:aaa=1,baaabb=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7535 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:5us [02m00s] 7535 ab:aaa=1,baaabb=b infinite ab - - ab:aaa=1,bbb=b [02m00s] from: 7535 ab:aaa=1,baaabb=b infinite to: 2583 ab:aaa=1,abbb=ab infinite a=a,b=b [02m00s] # 7536 solved: rounds:4,rules:2,peak:10,longest:13,steps:17,word:6,work:2159,nodes:54,pairs:55,completionMax:212us [02m00s] 7536 ab:aaa=1,baabab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 7536 ab:aaa=1,baabab=a finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 7537 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:16,pairs:0,completionMax:3us [02m00s] 7537 ab:aaa=1,baabab=b infinite ab - - ab:aaa=1,baabab=b [02m00s] # 7538 solved: rounds:4,rules:4,peak:8,longest:14,steps:9,word:9,work:2316,nodes:62,pairs:19,completionMax:136us [02m00s] 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbbbbbb,aba=bbbbb [02m00s] # 7539 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:16,pairs:0,completionMax:2us [02m00s] 7539 ab:aaa=1,baabbb=b infinite ab - - ab:aaa=1,baabbb=b [02m00s] # 7540 solved: rounds:4,rules:7,peak:20,longest:22,steps:21,word:19,work:35972,nodes:74,pairs:247,completionMax:1738us [02m00s] 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [02m00s] # 7541 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:16,pairs:0,completionMax:3us [02m00s] 7541 ab:aaa=1,bababb=b infinite ab - - ab:aaa=1,bababb=b [02m00s] # 7542 solved: rounds:3,rules:7,peak:10,longest:6,steps:4,word:2,work:900,nodes:48,pairs:28,completionMax:136us [02m00s] 7542 ab:aaa=1,babbab=a infinite;group:a-cbcc,b-accc,c-ccc c/ba ba=c frequency:2/1 abc:cccc=1,ccb=bcc,cca=acc,bcb=cacc,ba=c,acb=cc,aa=cbcc [02m00s] # 7543 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:131,nodes:20,pairs:2,completionMax:21us [02m00s] 7543 ab:aaa=1,babbab=b infinite ab - - ab:aaa=1,bbab=babb,bababb=b [02m00s] # 7544 solved: rounds:6,rules:3,peak:27,longest:95,steps:34,word:125,work:294302,nodes:368,pairs:455,completionMax:11390us [02m00s] 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbbbbbbbbba,aaa=1 [02m00s] # 7545 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:16,pairs:0,completionMax:5us [02m00s] 7545 ab:aaa=1,babbbb=b infinite ab - - ab:aaa=1,babbbb=b [02m00s] # 7546 solved: rounds:3,rules:5,peak:6,longest:7,steps:3,word:1,work:428,nodes:45,pairs:14,completionMax:39us [02m00s] 7546 ab:aaa=1,bbaabb=a infinite;group:a-c,b-bcbbc,c-cc bc/a aa=c frequency:2/0 abc:ccc=1,bbcbb=cc,cbbcb=bcbbc,ccbcbb=bbcbcc,a=cc [02m00s] # 7547 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:215,nodes:22,pairs:5,completionMax:25us [02m00s] 7547 ab:aaa=1,bbaabb=b infinite ab - - ab:aaa=1,bbaab=baabb,baabbb=b [02m00s] # 7548 solved: rounds:4,rules:3,peak:19,longest:35,steps:23,word:40,work:52511,nodes:164,pairs:135,completionMax:2647us [02m00s] 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [02m00s] # 7549 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1002,nodes:28,pairs:7,completionMax:44us [02m00s] 7549 ab:aaa=1,bbabbb=b infinite ab - - ab:aaa=1,bbab=babb,babbbb=b [02m00s] # 7550 solved: rounds:1,rules:2,peak:2,longest:18,steps:2,word:10,work:96,nodes:36,pairs:3,completionMax:32us [02m00s] 7550 ab:aaa=1,bbbbbb=a finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [02m00s] from: 7550 ab:aaa=1,bbbbbb=a finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [02m00s] # 7551 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:16,pairs:0,completionMax:3us [02m00s] 7551 ab:aaa=1,bbbbbb=b infinite ab - - ab:aaa=1,bbbbbb=b [02m00s] # 7552 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:2,work:55,nodes:12,pairs:4,completionMax:18us [02m00s] 7552 ab:aab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7552 ab:aab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7553 solved: rounds:1,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:16,pairs:1,completionMax:8us [02m00s] 7553 ab:aab=1,aaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7553 ab:aab=1,aaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7554 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:34,nodes:6,pairs:4,completionMax:18us [02m00s] 7554 ab:aab=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7554 ab:aab=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7555 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:6us [02m00s] 7555 ab:aab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7555 ab:aab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7556 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:33,nodes:6,pairs:4,completionMax:15us [02m00s] 7556 ab:aab=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7556 ab:aab=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7557 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:7us [02m00s] 7557 ab:aab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7557 ab:aab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7558 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:4us [02m00s] 7558 ab:aab=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7558 ab:aab=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7559 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:2us [02m00s] 7559 ab:aab=1,aaaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7559 ab:aab=1,aaaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7560 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:6,pairs:4,completionMax:12us [02m00s] 7560 ab:aab=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7560 ab:aab=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7561 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:4us [02m00s] 7561 ab:aab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7561 ab:aab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7562 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:2us [02m00s] 7562 ab:aab=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7562 ab:aab=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7563 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:2us [02m00s] 7563 ab:aab=1,aaabab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7563 ab:aab=1,aaabab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7564 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:6,completionMax:12us [02m00s] 7564 ab:aab=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7564 ab:aab=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7565 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:10,pairs:10,completionMax:17us [02m00s] 7565 ab:aab=1,aaabba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7565 ab:aab=1,aaabba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7566 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:14,nodes:8,pairs:3,completionMax:7us [02m00s] 7566 ab:aab=1,aaabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7566 ab:aab=1,aaabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7567 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:4,completionMax:5us [02m00s] 7567 ab:aab=1,aaabbb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7567 ab:aab=1,aaabbb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7568 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:6,pairs:4,completionMax:11us [02m00s] 7568 ab:aab=1,aabaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7568 ab:aab=1,aabaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7569 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:10,pairs:1,completionMax:5us [02m00s] 7569 ab:aab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7569 ab:aab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7570 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:3us [02m00s] 7570 ab:aab=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7570 ab:aab=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7571 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:2us [02m00s] 7571 ab:aab=1,aabaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7571 ab:aab=1,aabaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7572 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:41,nodes:8,pairs:6,completionMax:20us [02m00s] 7572 ab:aab=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7572 ab:aab=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7573 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:50,nodes:10,pairs:10,completionMax:20us [02m00s] 7573 ab:aab=1,aababa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7573 ab:aab=1,aababa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7574 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:13,nodes:8,pairs:3,completionMax:9us [02m00s] 7574 ab:aab=1,aababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7574 ab:aab=1,aababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7575 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:4,completionMax:8us [02m00s] 7575 ab:aab=1,aababb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7575 ab:aab=1,aababb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7576 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:91,nodes:10,pairs:12,completionMax:30us [02m00s] 7576 ab:aab=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7576 ab:aab=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7577 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:59,nodes:10,pairs:6,completionMax:17us [02m00s] 7577 ab:aab=1,aabbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7577 ab:aab=1,aabbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7578 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:36,nodes:12,pairs:7,completionMax:20us [02m00s] 7578 ab:aab=1,aabbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7578 ab:aab=1,aabbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7579 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:10,pairs:3,completionMax:10us [02m00s] 7579 ab:aab=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7579 ab:aab=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7580 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:79,nodes:12,pairs:10,completionMax:24us [02m00s] 7580 ab:aab=1,aabbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7580 ab:aab=1,aabbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7581 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:53,nodes:10,pairs:8,completionMax:14us [02m00s] 7581 ab:aab=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7581 ab:aab=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7582 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:101,nodes:16,pairs:8,completionMax:20us [02m00s] 7582 ab:aab=1,aabbbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7582 ab:aab=1,aabbbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7583 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:28,nodes:10,pairs:4,completionMax:10us [02m00s] 7583 ab:aab=1,aabbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7583 ab:aab=1,aabbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7584 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:227,nodes:16,pairs:20,completionMax:36us [02m00s] 7584 ab:aab=1,abaaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7584 ab:aab=1,abaaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7585 solved: rounds:2,rules:2,peak:6,longest:10,steps:2,word:4,work:669,nodes:36,pairs:17,completionMax:62us [02m00s] 7585 ab:aab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7585 ab:aab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7586 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:44,nodes:8,pairs:6,completionMax:12us [02m00s] 7586 ab:aab=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7586 ab:aab=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7587 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:53,nodes:10,pairs:10,completionMax:18us [02m00s] 7587 ab:aab=1,abaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7587 ab:aab=1,abaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7588 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:43,nodes:8,pairs:6,completionMax:11us [02m00s] 7588 ab:aab=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7588 ab:aab=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7589 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:52,nodes:10,pairs:10,completionMax:12us [02m00s] 7589 ab:aab=1,abaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7589 ab:aab=1,abaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7590 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:15,nodes:8,pairs:3,completionMax:7us [02m00s] 7590 ab:aab=1,abaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7590 ab:aab=1,abaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7591 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:8,pairs:4,completionMax:5us [02m00s] 7591 ab:aab=1,abaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7591 ab:aab=1,abaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7592 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:182,nodes:14,pairs:20,completionMax:46us [02m00s] 7592 ab:aab=1,ababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7592 ab:aab=1,ababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7593 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:481,nodes:18,pairs:23,completionMax:58us [02m00s] 7593 ab:aab=1,ababaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7593 ab:aab=1,ababaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7594 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:1,work:76,nodes:14,pairs:6,completionMax:21us [02m00s] 7594 ab:aab=1,ababab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7594 ab:aab=1,ababab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7595 solved: rounds:3,rules:2,peak:4,longest:6,steps:4,word:0,work:123,nodes:18,pairs:12,completionMax:22us [02m00s] 7595 ab:aab=1,ababab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7595 ab:aab=1,ababab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7596 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:1,work:262,nodes:20,pairs:16,completionMax:42us [02m00s] 7596 ab:aab=1,ababba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7596 ab:aab=1,ababba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7597 solved: rounds:2,rules:2,peak:10,longest:6,steps:6,word:0,work:457,nodes:22,pairs:19,completionMax:76us [02m00s] 7597 ab:aab=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7597 ab:aab=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7598 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:4,work:119,nodes:20,pairs:7,completionMax:33us [02m00s] 7598 ab:aab=1,ababbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7598 ab:aab=1,ababbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7599 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:1,work:63,nodes:16,pairs:6,completionMax:22us [02m00s] 7599 ab:aab=1,ababbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7599 ab:aab=1,ababbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7600 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:0,work:349,nodes:20,pairs:17,completionMax:69us [02m00s] 7600 ab:aab=1,abbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7600 ab:aab=1,abbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7601 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:671,nodes:24,pairs:29,completionMax:110us [02m00s] 7601 ab:aab=1,abbaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7601 ab:aab=1,abbaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7602 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:16,nodes:8,pairs:3,completionMax:11us [02m00s] 7602 ab:aab=1,abbaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7602 ab:aab=1,abbaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7603 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:8,pairs:4,completionMax:10us [02m00s] 7603 ab:aab=1,abbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7603 ab:aab=1,abbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7604 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:1,work:456,nodes:24,pairs:34,completionMax:134us [02m00s] 7604 ab:aab=1,abbaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7604 ab:aab=1,abbaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7605 solved: rounds:3,rules:2,peak:8,longest:6,steps:8,word:0,work:806,nodes:24,pairs:25,completionMax:68us [02m00s] 7605 ab:aab=1,abbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7605 ab:aab=1,abbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7606 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:4,work:580,nodes:28,pairs:21,completionMax:80us [02m00s] 7606 ab:aab=1,abbabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7606 ab:aab=1,abbabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7607 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:1,work:248,nodes:20,pairs:18,completionMax:43us [02m00s] 7607 ab:aab=1,abbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7607 ab:aab=1,abbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7608 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:1,work:263,nodes:20,pairs:27,completionMax:56us [02m00s] 7608 ab:aab=1,abbbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7608 ab:aab=1,abbbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7609 solved: rounds:3,rules:2,peak:7,longest:6,steps:7,word:0,work:453,nodes:20,pairs:23,completionMax:64us [02m00s] 7609 ab:aab=1,abbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7609 ab:aab=1,abbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7610 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:8,work:477,nodes:20,pairs:33,completionMax:84us [02m00s] 7610 ab:aab=1,abbbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7610 ab:aab=1,abbbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7611 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:1,work:331,nodes:20,pairs:18,completionMax:50us [02m00s] 7611 ab:aab=1,abbbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7611 ab:aab=1,abbbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7612 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:4,work:376,nodes:20,pairs:28,completionMax:76us [02m00s] 7612 ab:aab=1,abbbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7612 ab:aab=1,abbbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7613 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:1,work:786,nodes:24,pairs:19,completionMax:96us [02m00s] 7613 ab:aab=1,abbbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7613 ab:aab=1,abbbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7614 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:245,nodes:20,pairs:17,completionMax:55us [02m00s] 7614 ab:aab=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7614 ab:aab=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7615 solved: rounds:3,rules:2,peak:7,longest:7,steps:6,word:4,work:639,nodes:20,pairs:35,completionMax:115us [02m00s] 7615 ab:aab=1,abbbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7615 ab:aab=1,abbbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7616 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:317,nodes:22,pairs:21,completionMax:59us [02m00s] 7616 ab:aab=1,baaaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7616 ab:aab=1,baaaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7617 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:128,nodes:20,pairs:7,completionMax:31us [02m00s] 7617 ab:aab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7617 ab:aab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7618 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:94,nodes:10,pairs:12,completionMax:25us [02m00s] 7618 ab:aab=1,baaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7618 ab:aab=1,baaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7619 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:62,nodes:10,pairs:6,completionMax:20us [02m00s] 7619 ab:aab=1,baaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7619 ab:aab=1,baaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7620 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:93,nodes:10,pairs:12,completionMax:26us [02m00s] 7620 ab:aab=1,baaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7620 ab:aab=1,baaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7621 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:61,nodes:10,pairs:6,completionMax:20us [02m00s] 7621 ab:aab=1,baaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7621 ab:aab=1,baaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7622 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:38,nodes:12,pairs:7,completionMax:26us [02m00s] 7622 ab:aab=1,baaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7622 ab:aab=1,baaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7623 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:10,pairs:3,completionMax:14us [02m00s] 7623 ab:aab=1,baaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7623 ab:aab=1,baaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7624 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:92,nodes:10,pairs:12,completionMax:31us [02m00s] 7624 ab:aab=1,baabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7624 ab:aab=1,baabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7625 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:60,nodes:10,pairs:6,completionMax:22us [02m00s] 7625 ab:aab=1,baabaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7625 ab:aab=1,baabaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7626 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:37,nodes:12,pairs:7,completionMax:18us [02m00s] 7626 ab:aab=1,baabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7626 ab:aab=1,baabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7627 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:6us [02m00s] 7627 ab:aab=1,baabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7627 ab:aab=1,baabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7628 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:80,nodes:12,pairs:10,completionMax:38us [02m00s] 7628 ab:aab=1,baabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7628 ab:aab=1,baabba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7629 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:54,nodes:10,pairs:8,completionMax:16us [02m00s] 7629 ab:aab=1,baabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7629 ab:aab=1,baabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7630 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:102,nodes:16,pairs:8,completionMax:27us [02m00s] 7630 ab:aab=1,baabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7630 ab:aab=1,baabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7631 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:29,nodes:10,pairs:4,completionMax:21us [02m00s] 7631 ab:aab=1,baabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7631 ab:aab=1,baabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7632 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:190,nodes:22,pairs:23,completionMax:61us [02m00s] 7632 ab:aab=1,babaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7632 ab:aab=1,babaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7633 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:365,nodes:24,pairs:17,completionMax:56us [02m00s] 7633 ab:aab=1,babaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7633 ab:aab=1,babaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7634 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:39,nodes:12,pairs:7,completionMax:23us [02m00s] 7634 ab:aab=1,babaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7634 ab:aab=1,babaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7635 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:19,nodes:10,pairs:3,completionMax:9us [02m00s] 7635 ab:aab=1,babaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7635 ab:aab=1,babaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7636 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:2,work:404,nodes:26,pairs:21,completionMax:82us [02m00s] 7636 ab:aab=1,bababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7636 ab:aab=1,bababa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7637 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:464,nodes:24,pairs:32,completionMax:73us [02m00s] 7637 ab:aab=1,bababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7637 ab:aab=1,bababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7638 solved: rounds:3,rules:2,peak:11,longest:7,steps:5,word:4,work:1155,nodes:24,pairs:31,completionMax:137us [02m00s] 7638 ab:aab=1,bababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7638 ab:aab=1,bababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7639 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:1,work:52,nodes:22,pairs:4,completionMax:17us [02m00s] 7639 ab:aab=1,bababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7639 ab:aab=1,bababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7640 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:1,work:464,nodes:22,pairs:23,completionMax:74us [02m00s] 7640 ab:aab=1,babbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7640 ab:aab=1,babbaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7641 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:344,nodes:24,pairs:18,completionMax:57us [02m00s] 7641 ab:aab=1,babbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7641 ab:aab=1,babbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7642 solved: rounds:4,rules:2,peak:9,longest:10,steps:36,word:8,work:2199,nodes:28,pairs:41,completionMax:173us [02m00s] 7642 ab:aab=1,babbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7642 ab:aab=1,babbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7643 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:1,work:295,nodes:22,pairs:20,completionMax:50us [02m00s] 7643 ab:aab=1,babbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7643 ab:aab=1,babbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7644 solved: rounds:4,rules:2,peak:9,longest:7,steps:4,word:4,work:1008,nodes:24,pairs:35,completionMax:138us [02m00s] 7644 ab:aab=1,babbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7644 ab:aab=1,babbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7645 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:1,work:1046,nodes:28,pairs:44,completionMax:104us [02m00s] 7645 ab:aab=1,babbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7645 ab:aab=1,babbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7646 solved: rounds:3,rules:2,peak:7,longest:10,steps:7,word:7,work:815,nodes:26,pairs:17,completionMax:70us [02m00s] 7646 ab:aab=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7646 ab:aab=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7647 solved: rounds:5,rules:2,peak:5,longest:7,steps:4,word:4,work:148,nodes:22,pairs:13,completionMax:46us [02m00s] 7647 ab:aab=1,babbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7647 ab:aab=1,babbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7648 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:216,nodes:24,pairs:15,completionMax:41us [02m00s] 7648 ab:aab=1,bbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7648 ab:aab=1,bbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7649 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:152,nodes:22,pairs:16,completionMax:33us [02m00s] 7649 ab:aab=1,bbaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7649 ab:aab=1,bbaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7650 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:82,nodes:12,pairs:10,completionMax:30us [02m00s] 7650 ab:aab=1,bbaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7650 ab:aab=1,bbaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7651 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:56,nodes:10,pairs:8,completionMax:19us [02m00s] 7651 ab:aab=1,bbaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7651 ab:aab=1,bbaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7652 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:81,nodes:12,pairs:10,completionMax:25us [02m00s] 7652 ab:aab=1,bbaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7652 ab:aab=1,bbaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7653 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:55,nodes:10,pairs:8,completionMax:18us [02m00s] 7653 ab:aab=1,bbaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7653 ab:aab=1,bbaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7654 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:103,nodes:16,pairs:8,completionMax:27us [02m00s] 7654 ab:aab=1,bbaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7654 ab:aab=1,bbaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7655 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:30,nodes:10,pairs:4,completionMax:13us [02m00s] 7655 ab:aab=1,bbaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7655 ab:aab=1,bbaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7656 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:1,work:197,nodes:24,pairs:23,completionMax:60us [02m00s] 7656 ab:aab=1,bbabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7656 ab:aab=1,bbabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7657 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:453,nodes:22,pairs:27,completionMax:55us [02m00s] 7657 ab:aab=1,bbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7657 ab:aab=1,bbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7658 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:8,work:685,nodes:34,pairs:20,completionMax:65us [02m00s] 7658 ab:aab=1,bbabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7658 ab:aab=1,bbabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7659 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:1,work:137,nodes:22,pairs:6,completionMax:21us [02m00s] 7659 ab:aab=1,bbabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7659 ab:aab=1,bbabab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7660 solved: rounds:3,rules:2,peak:10,longest:7,steps:3,word:4,work:1014,nodes:26,pairs:51,completionMax:121us [02m00s] 7660 ab:aab=1,bbabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7660 ab:aab=1,bbabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7661 solved: rounds:3,rules:2,peak:10,longest:6,steps:3,word:1,work:1054,nodes:26,pairs:47,completionMax:98us [02m00s] 7661 ab:aab=1,bbabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7661 ab:aab=1,bbabba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7662 solved: rounds:2,rules:2,peak:9,longest:11,steps:5,word:7,work:1373,nodes:40,pairs:22,completionMax:144us [02m00s] 7662 ab:aab=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7662 ab:aab=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7663 solved: rounds:5,rules:2,peak:7,longest:7,steps:4,word:4,work:679,nodes:24,pairs:42,completionMax:112us [02m00s] 7663 ab:aab=1,bbabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7663 ab:aab=1,bbabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7664 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:1,work:445,nodes:26,pairs:22,completionMax:65us [02m00s] 7664 ab:aab=1,bbbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7664 ab:aab=1,bbbaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7665 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:0,work:254,nodes:20,pairs:15,completionMax:52us [02m00s] 7665 ab:aab=1,bbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7665 ab:aab=1,bbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7666 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:104,nodes:16,pairs:8,completionMax:29us [02m00s] 7666 ab:aab=1,bbbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7666 ab:aab=1,bbbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7667 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:31,nodes:10,pairs:4,completionMax:22us [02m00s] 7667 ab:aab=1,bbbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7667 ab:aab=1,bbbaab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7668 solved: rounds:3,rules:2,peak:10,longest:7,steps:4,word:4,work:797,nodes:28,pairs:33,completionMax:117us [02m00s] 7668 ab:aab=1,bbbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7668 ab:aab=1,bbbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7669 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:1,work:204,nodes:22,pairs:18,completionMax:43us [02m00s] 7669 ab:aab=1,bbbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7669 ab:aab=1,bbbaba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7670 solved: rounds:3,rules:2,peak:10,longest:10,steps:5,word:7,work:1099,nodes:30,pairs:41,completionMax:140us [02m00s] 7670 ab:aab=1,bbbabb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7670 ab:aab=1,bbbabb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7671 solved: rounds:5,rules:2,peak:7,longest:7,steps:4,word:4,work:588,nodes:22,pairs:41,completionMax:83us [02m00s] 7671 ab:aab=1,bbbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7671 ab:aab=1,bbbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7672 solved: rounds:3,rules:2,peak:8,longest:7,steps:8,word:8,work:672,nodes:22,pairs:27,completionMax:72us [02m00s] 7672 ab:aab=1,bbbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7672 ab:aab=1,bbbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7673 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:1,work:383,nodes:20,pairs:30,completionMax:81us [02m00s] 7673 ab:aab=1,bbbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7673 ab:aab=1,bbbbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7674 solved: rounds:4,rules:2,peak:11,longest:10,steps:6,word:7,work:1901,nodes:32,pairs:81,completionMax:215us [02m00s] 7674 ab:aab=1,bbbbab=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7674 ab:aab=1,bbbbab=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7675 solved: rounds:5,rules:2,peak:6,longest:7,steps:4,word:4,work:261,nodes:18,pairs:19,completionMax:61us [02m00s] 7675 ab:aab=1,bbbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7675 ab:aab=1,bbbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7676 solved: rounds:5,rules:2,peak:7,longest:10,steps:6,word:7,work:469,nodes:20,pairs:30,completionMax:103us [02m00s] 7676 ab:aab=1,bbbbba=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7676 ab:aab=1,bbbbba=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7677 solved: rounds:5,rules:2,peak:11,longest:7,steps:9,word:4,work:2182,nodes:20,pairs:45,completionMax:204us [02m00s] 7677 ab:aab=1,bbbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7677 ab:aab=1,bbbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7678 solved: rounds:6,rules:2,peak:4,longest:13,steps:9,word:10,work:1139,nodes:26,pairs:24,completionMax:75us [02m00s] 7678 ab:aab=1,bbbbbb=a finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [02m00s] from: 7678 ab:aab=1,bbbbbb=a finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [02m00s] # 7679 solved: rounds:6,rules:2,peak:5,longest:10,steps:4,word:7,work:283,nodes:20,pairs:18,completionMax:84us [02m00s] 7679 ab:aab=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7679 ab:aab=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7680 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:2,work:142,nodes:14,pairs:8,completionMax:23us [02m00s] 7680 ab:aba=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7680 ab:aba=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7681 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:5,work:3,nodes:16,pairs:1,completionMax:7us [02m00s] 7681 ab:aba=1,aaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 7681 ab:aba=1,aaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 7682 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:175,nodes:16,pairs:18,completionMax:29us [02m00s] 7682 ab:aba=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7682 ab:aba=1,aaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7683 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:4,work:97,nodes:16,pairs:10,completionMax:27us [02m00s] 7683 ab:aba=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7683 ab:aba=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7684 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:8,completionMax:35us [02m00s] 7684 ab:aba=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7684 ab:aba=1,aaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7685 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:2,work:9,nodes:10,pairs:1,completionMax:10us [02m00s] 7685 ab:aba=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7685 ab:aba=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7686 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:106,nodes:18,pairs:8,completionMax:31us [02m00s] 7686 ab:aba=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7686 ab:aba=1,aaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7687 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:98,nodes:18,pairs:11,completionMax:24us [02m00s] 7687 ab:aba=1,aaaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7687 ab:aba=1,aaaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7688 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:55,nodes:10,pairs:8,completionMax:23us [02m00s] 7688 ab:aba=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7688 ab:aba=1,aaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7689 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:2,work:8,nodes:10,pairs:1,completionMax:7us [02m00s] 7689 ab:aba=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 7689 ab:aba=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 7690 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:10,pairs:11,completionMax:17us [02m00s] 7690 ab:aba=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7690 ab:aba=1,aaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7691 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:49,nodes:10,pairs:10,completionMax:18us [02m00s] 7691 ab:aba=1,aaabab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7691 ab:aba=1,aaabab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7692 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:101,nodes:16,pairs:13,completionMax:26us [02m00s] 7692 ab:aba=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7692 ab:aba=1,aaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7693 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:192,nodes:16,pairs:16,completionMax:37us [02m00s] 7693 ab:aba=1,aaabba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7693 ab:aba=1,aaabba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7694 solved: rounds:5,rules:2,peak:4,longest:6,steps:9,word:1,work:307,nodes:22,pairs:11,completionMax:36us [02m00s] 7694 ab:aba=1,aaabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7694 ab:aba=1,aaabbb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7695 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:195,nodes:20,pairs:16,completionMax:31us [02m00s] 7695 ab:aba=1,aaabbb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7695 ab:aba=1,aaabbb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7696 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:54,nodes:10,pairs:11,completionMax:20us [02m00s] 7696 ab:aba=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7696 ab:aba=1,aabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7697 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:48,nodes:10,pairs:10,completionMax:14us [02m00s] 7697 ab:aba=1,aabaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7697 ab:aba=1,aabaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7698 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:5us [02m00s] 7698 ab:aba=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7698 ab:aba=1,aababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7699 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:5us [02m00s] 7699 ab:aba=1,aababa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7699 ab:aba=1,aababa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7700 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:15us [02m00s] 7700 ab:aba=1,aababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7700 ab:aba=1,aababb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7701 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:64,nodes:8,pairs:10,completionMax:19us [02m00s] 7701 ab:aba=1,aababb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7701 ab:aba=1,aababb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7702 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:136,nodes:16,pairs:19,completionMax:46us [02m00s] 7702 ab:aba=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7702 ab:aba=1,aabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7703 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:166,nodes:16,pairs:16,completionMax:46us [02m00s] 7703 ab:aba=1,aabbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7703 ab:aba=1,aabbaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7704 solved: rounds:3,rules:2,peak:5,longest:6,steps:10,word:2,work:339,nodes:22,pairs:15,completionMax:35us [02m00s] 7704 ab:aba=1,aabbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7704 ab:aba=1,aabbab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7705 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:178,nodes:16,pairs:14,completionMax:40us [02m00s] 7705 ab:aba=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7705 ab:aba=1,aabbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7706 solved: rounds:5,rules:2,peak:4,longest:6,steps:7,word:1,work:264,nodes:22,pairs:12,completionMax:47us [02m00s] 7706 ab:aba=1,aabbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7706 ab:aba=1,aabbba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7707 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:459,nodes:20,pairs:20,completionMax:54us [02m00s] 7707 ab:aba=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7707 ab:aba=1,aabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7708 solved: rounds:6,rules:2,peak:4,longest:7,steps:8,word:4,work:488,nodes:22,pairs:13,completionMax:57us [02m00s] 7708 ab:aba=1,aabbbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7708 ab:aba=1,aabbbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7709 solved: rounds:3,rules:2,peak:7,longest:6,steps:8,word:2,work:528,nodes:22,pairs:18,completionMax:69us [02m00s] 7709 ab:aba=1,aabbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7709 ab:aba=1,aabbbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7710 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:53,nodes:10,pairs:11,completionMax:23us [02m00s] 7710 ab:aba=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7710 ab:aba=1,abaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7711 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:47,nodes:10,pairs:10,completionMax:22us [02m00s] 7711 ab:aba=1,abaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7711 ab:aba=1,abaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7712 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:5us [02m00s] 7712 ab:aba=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7712 ab:aba=1,abaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7713 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [02m00s] 7713 ab:aba=1,abaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7713 ab:aba=1,abaaba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7714 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:10,pairs:4,completionMax:17us [02m00s] 7714 ab:aba=1,abaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7714 ab:aba=1,abaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7715 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:63,nodes:8,pairs:10,completionMax:21us [02m00s] 7715 ab:aba=1,abaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7715 ab:aba=1,abaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7716 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:24,nodes:10,pairs:7,completionMax:14us [02m00s] 7716 ab:aba=1,ababab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7716 ab:aba=1,ababab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7717 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:13,completionMax:15us [02m00s] 7717 ab:aba=1,ababab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7717 ab:aba=1,ababab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7718 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:12us [02m00s] 7718 ab:aba=1,ababba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7718 ab:aba=1,ababba=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7719 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:57,nodes:10,pairs:7,completionMax:14us [02m00s] 7719 ab:aba=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7719 ab:aba=1,ababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7720 solved: rounds:5,rules:2,peak:4,longest:7,steps:4,word:4,work:124,nodes:14,pairs:10,completionMax:32us [02m00s] 7720 ab:aba=1,ababbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7720 ab:aba=1,ababbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7721 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:74,nodes:10,pairs:8,completionMax:27us [02m00s] 7721 ab:aba=1,ababbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7721 ab:aba=1,ababbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7722 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:282,nodes:22,pairs:11,completionMax:34us [02m00s] 7722 ab:aba=1,abbaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7722 ab:aba=1,abbaab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7723 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:182,nodes:16,pairs:14,completionMax:24us [02m00s] 7723 ab:aba=1,abbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7723 ab:aba=1,abbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7724 solved: rounds:6,rules:2,peak:4,longest:7,steps:6,word:4,work:488,nodes:20,pairs:14,completionMax:54us [02m00s] 7724 ab:aba=1,abbabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7724 ab:aba=1,abbabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7725 solved: rounds:3,rules:2,peak:7,longest:6,steps:9,word:3,work:871,nodes:20,pairs:42,completionMax:128us [02m00s] 7725 ab:aba=1,abbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7725 ab:aba=1,abbabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7726 solved: rounds:3,rules:2,peak:6,longest:10,steps:19,word:8,work:838,nodes:28,pairs:8,completionMax:67us [02m00s] 7726 ab:aba=1,abbbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7726 ab:aba=1,abbbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7727 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:1,work:292,nodes:18,pairs:17,completionMax:37us [02m00s] 7727 ab:aba=1,abbbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7727 ab:aba=1,abbbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7728 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:397,nodes:20,pairs:14,completionMax:46us [02m00s] 7728 ab:aba=1,abbbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7728 ab:aba=1,abbbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7729 solved: rounds:5,rules:2,peak:5,longest:6,steps:6,word:1,work:403,nodes:20,pairs:16,completionMax:69us [02m00s] 7729 ab:aba=1,abbbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7729 ab:aba=1,abbbba=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7730 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:615,nodes:20,pairs:13,completionMax:66us [02m00s] 7730 ab:aba=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7730 ab:aba=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7731 solved: rounds:5,rules:2,peak:5,longest:7,steps:6,word:4,work:695,nodes:20,pairs:15,completionMax:75us [02m00s] 7731 ab:aba=1,abbbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7731 ab:aba=1,abbbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7732 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:205,nodes:20,pairs:20,completionMax:47us [02m00s] 7732 ab:aba=1,baaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7732 ab:aba=1,baaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7733 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:115,nodes:20,pairs:15,completionMax:38us [02m00s] 7733 ab:aba=1,baaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 7733 ab:aba=1,baaaab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 7734 solved: rounds:2,rules:2,peak:5,longest:6,steps:11,word:2,work:527,nodes:20,pairs:16,completionMax:39us [02m00s] 7734 ab:aba=1,baaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7734 ab:aba=1,baaabb=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7735 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:115,nodes:20,pairs:12,completionMax:31us [02m00s] 7735 ab:aba=1,baaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7735 ab:aba=1,baaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7736 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:26,nodes:10,pairs:7,completionMax:15us [02m00s] 7736 ab:aba=1,baabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7736 ab:aba=1,baabab=a finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7737 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:58,nodes:10,pairs:13,completionMax:22us [02m00s] 7737 ab:aba=1,baabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 7737 ab:aba=1,baabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 7738 solved: rounds:3,rules:2,peak:6,longest:14,steps:19,word:12,work:1227,nodes:36,pairs:23,completionMax:133us [02m00s] 7738 ab:aba=1,baabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7738 ab:aba=1,baabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7739 solved: rounds:3,rules:2,peak:6,longest:6,steps:10,word:3,work:554,nodes:20,pairs:14,completionMax:53us [02m00s] 7739 ab:aba=1,baabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7739 ab:aba=1,baabbb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7740 solved: rounds:5,rules:2,peak:4,longest:7,steps:4,word:4,work:125,nodes:14,pairs:10,completionMax:38us [02m00s] 7740 ab:aba=1,bababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7740 ab:aba=1,bababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7741 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:75,nodes:10,pairs:8,completionMax:26us [02m00s] 7741 ab:aba=1,bababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7741 ab:aba=1,bababb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7742 solved: rounds:3,rules:2,peak:6,longest:15,steps:18,word:12,work:1206,nodes:38,pairs:23,completionMax:93us [02m00s] 7742 ab:aba=1,babbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7742 ab:aba=1,babbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7743 solved: rounds:5,rules:2,peak:4,longest:6,steps:8,word:1,work:273,nodes:20,pairs:17,completionMax:42us [02m00s] 7743 ab:aba=1,babbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7743 ab:aba=1,babbab=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7744 solved: rounds:5,rules:2,peak:5,longest:10,steps:9,word:7,work:607,nodes:20,pairs:19,completionMax:68us [02m00s] 7744 ab:aba=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7744 ab:aba=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7745 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:505,nodes:20,pairs:14,completionMax:54us [02m00s] 7745 ab:aba=1,babbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7745 ab:aba=1,babbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7746 solved: rounds:5,rules:2,peak:4,longest:7,steps:7,word:4,work:246,nodes:16,pairs:12,completionMax:36us [02m00s] 7746 ab:aba=1,bbaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7746 ab:aba=1,bbaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7747 solved: rounds:5,rules:2,peak:4,longest:6,steps:7,word:1,work:195,nodes:16,pairs:11,completionMax:37us [02m00s] 7747 ab:aba=1,bbaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 7747 ab:aba=1,bbaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 7748 solved: rounds:6,rules:2,peak:4,longest:10,steps:6,word:7,work:643,nodes:20,pairs:17,completionMax:64us [02m00s] 7748 ab:aba=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7748 ab:aba=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7749 solved: rounds:7,rules:2,peak:4,longest:7,steps:7,word:4,work:443,nodes:16,pairs:14,completionMax:58us [02m00s] 7749 ab:aba=1,bbabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 7749 ab:aba=1,bbabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 7750 solved: rounds:8,rules:2,peak:4,longest:13,steps:9,word:10,work:1272,nodes:26,pairs:18,completionMax:136us [02m00s] 7750 ab:aba=1,bbbbbb=a finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [02m00s] from: 7750 ab:aba=1,bbbbbb=a finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [02m00s] # 7751 solved: rounds:8,rules:2,peak:4,longest:10,steps:6,word:7,work:581,nodes:20,pairs:13,completionMax:93us [02m00s] 7751 ab:aba=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 7751 ab:aba=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 7752 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:3us [02m00s] 7752 ab:aaa=1,aaaaa=aa infinite ab - - ab:aaa=1 [02m00s] from: 7752 ab:aaa=1,aaaaa=aa infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [02m00s] # 7753 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:5us [02m00s] 7753 ab:aaa=1,aaaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7753 ab:aaa=1,aaaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7754 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:3,work:60,nodes:14,pairs:5,completionMax:15us [02m00s] 7754 ab:aaa=1,aaaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7754 ab:aaa=1,aaaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7755 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:4us [02m00s] 7755 ab:aaa=1,aaaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7755 ab:aaa=1,aaaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7756 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 7756 ab:aaa=1,aaaab=ab infinite ab - - ab:aaa=1 [02m00s] from: 7756 ab:aaa=1,aaaab=ab infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [02m00s] # 7757 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:8,pairs:0,completionMax:2us [02m00s] 7757 ab:aaa=1,aaaab=ba infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [02m00s] from: 7757 ab:aaa=1,aaaab=ba infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [02m00s] # 7758 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:25,nodes:12,pairs:1,completionMax:6us [02m00s] 7758 ab:aaa=1,aaaab=bb finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [02m00s] from: 7758 ab:aaa=1,aaaab=bb finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [02m00s] # 7759 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:3us [02m00s] 7759 ab:aaa=1,aaaba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7759 ab:aaa=1,aaaba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7760 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:8,pairs:0,completionMax:2us [02m00s] 7760 ab:aaa=1,aaaba=ab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [02m00s] from: 7760 ab:aaa=1,aaaba=ab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [02m00s] # 7761 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 7761 ab:aaa=1,aaaba=ba infinite ab - - ab:aaa=1 [02m00s] from: 7761 ab:aaa=1,aaaba=ba infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [02m00s] # 7762 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:25,nodes:12,pairs:1,completionMax:5us [02m00s] 7762 ab:aaa=1,aaaba=bb finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [02m00s] from: 7762 ab:aaa=1,aaaba=bb finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [02m00s] # 7763 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:3,work:60,nodes:14,pairs:5,completionMax:11us [02m00s] 7763 ab:aaa=1,aaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7763 ab:aaa=1,aaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7764 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:25,nodes:12,pairs:1,completionMax:5us [02m00s] 7764 ab:aaa=1,aaabb=ab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [02m00s] from: 7764 ab:aaa=1,aaabb=ab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [02m00s] # 7765 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:25,nodes:12,pairs:1,completionMax:7us [02m00s] 7765 ab:aaa=1,aaabb=ba finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [02m00s] from: 7765 ab:aaa=1,aaabb=ba finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [02m00s] # 7766 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 7766 ab:aaa=1,aaabb=bb infinite ab - - ab:aaa=1 [02m00s] from: 7766 ab:aaa=1,aaabb=bb infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [02m00s] # 7767 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:84,nodes:14,pairs:11,completionMax:49us [02m00s] 7767 ab:aaa=1,aabaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7767 ab:aaa=1,aabaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7768 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:268,nodes:16,pairs:13,completionMax:52us [02m00s] 7768 ab:aaa=1,aabaa=ab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [02m00s] from: 7768 ab:aaa=1,aabaa=ab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [02m00s] # 7769 solved: rounds:3,rules:6,peak:6,longest:6,steps:11,word:0,work:1490,nodes:24,pairs:20,completionMax:110us [02m00s] 7769 ab:aaa=1,aabaa=bb finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [02m00s] from: 7769 ab:aaa=1,aabaa=bb finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [02m00s] # 7770 solved: rounds:6,rules:2,peak:4,longest:6,steps:3,word:3,work:118,nodes:14,pairs:11,completionMax:48us [02m00s] 7770 ab:aaa=1,aabab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7770 ab:aaa=1,aabab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7771 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:112,nodes:16,pairs:6,completionMax:30us [02m00s] 7771 ab:aaa=1,aabab=ab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [02m00s] from: 7771 ab:aaa=1,aabab=ab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [02m00s] # 7772 solved: rounds:4,rules:7,peak:8,longest:6,steps:5,word:0,work:1494,nodes:30,pairs:15,completionMax:101us [02m00s] 7772 ab:aaa=1,aabab=ba finite:27;idempotents:1,bbb;center:1,bbb,aabaab ab - - ab:aaa=1,bab=aba,bbba=abbb,bbbb=b,baaba=abaab,baabb=aabba,bbaab=abbaa [02m00s] from: 7772 ab:aaa=1,aabab=ba finite:27;idempotents:1,bbb;center:1,bbb,aabaab to: 1310 ab:bab=aba,bbb=1 finite:27;idempotents:1,aaa;center:1,aaa,bbabba a=b,b=a [02m00s] # 7773 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:140,nodes:14,pairs:4,completionMax:17us [02m00s] 7773 ab:aaa=1,aabab=bb infinite ab - - ab:aaa=1,bab=abb,baabb=aabbb [02m00s] # 7774 solved: rounds:4,rules:2,peak:6,longest:6,steps:2,word:3,work:165,nodes:14,pairs:22,completionMax:45us [02m00s] 7774 ab:aaa=1,aabba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7774 ab:aaa=1,aabba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7775 solved: rounds:4,rules:6,peak:6,longest:6,steps:11,word:0,work:1454,nodes:24,pairs:18,completionMax:71us [02m00s] 7775 ab:aaa=1,aabba=ab finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [02m00s] from: 7775 ab:aaa=1,aabba=ab finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [02m00s] # 7776 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:114,nodes:12,pairs:11,completionMax:26us [02m00s] 7776 ab:aaa=1,aabba=ba finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [02m00s] from: 7776 ab:aaa=1,aabba=ba finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [02m00s] # 7777 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:62,nodes:14,pairs:4,completionMax:10us [02m00s] 7777 ab:aaa=1,aabba=bb infinite ab - - ab:aaa=1,bba=abb [02m00s] # 7778 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:14,pairs:2,completionMax:8us [02m00s] 7778 ab:aaa=1,aabbb=aa infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [02m00s] from: 7778 ab:aaa=1,aabbb=aa infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [02m00s] # 7779 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:63,nodes:18,pairs:7,completionMax:23us [02m00s] 7779 ab:aaa=1,aabbb=ab finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [02m00s] from: 7779 ab:aaa=1,aabbb=ab finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [02m00s] # 7780 solved: rounds:5,rules:9,peak:14,longest:29,steps:22,word:42,work:25528,nodes:262,pairs:39,completionMax:1193us [02m00s] 7780 ab:aaa=1,aabbb=ba finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=babbbbbbbbbbbbbbbbbbbbbb,aba=bbb,abba=bbbabbb,baa=bbabbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbb,aaa=1 [02m00s] from: 7780 ab:aaa=1,aabbb=ba finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=a [02m00s] # 7781 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:59,nodes:16,pairs:3,completionMax:17us [02m00s] 7781 ab:aaa=1,aabbb=bb infinite ba - - ab:abb=bbb,aaa=1,bbbbb=bb [02m00s] # 7782 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:33,nodes:18,pairs:1,completionMax:9us [02m00s] 7782 ab:aaa=1,abaab=aa infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [02m00s] from: 7782 ab:aaa=1,abaab=aa infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [02m00s] # 7783 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:18,pairs:1,completionMax:9us [02m00s] 7783 ab:aaa=1,abaab=ab infinite ab - - ab:aaa=1,baab=b [02m00s] from: 7783 ab:aaa=1,abaab=ab infinite to: 751 ab:aaa=1,baab=b infinite a=a,b=b [02m00s] # 7784 solved: rounds:3,rules:8,peak:8,longest:5,steps:6,word:0,work:1315,nodes:26,pairs:24,completionMax:92us [02m00s] 7784 ab:aaa=1,abaab=ba finite:24;idempotents:1,bbb;center:1,bbb ab - - ab:aaa=1,baab=aaba,baba=aabb,babb=abaa,bbaa=abab,bbab=abba,bbba=abbb,bbbb=b [02m00s] # 7785 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:276,nodes:20,pairs:7,completionMax:27us [02m00s] 7785 ab:aaa=1,abaab=bb infinite ab - - ab:aaa=1,baab=aabb,babb=abbb [02m00s] # 7786 solved: rounds:5,rules:2,peak:6,longest:6,steps:3,word:3,work:387,nodes:18,pairs:25,completionMax:67us [02m00s] 7786 ab:aaa=1,ababa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7786 ab:aaa=1,ababa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7787 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1252,nodes:26,pairs:50,completionMax:117us [02m00s] 7787 ab:aaa=1,ababa=ab finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [02m00s] from: 7787 ab:aaa=1,ababa=ab finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [02m00s] # 7788 solved: rounds:1,rules:4,peak:5,longest:5,steps:3,word:0,work:152,nodes:24,pairs:4,completionMax:23us [02m00s] 7788 ab:aaa=1,ababa=bb infinite ab - - ab:aaa=1,baba=aabb,bbaa=abab,bbba=abbb [02m00s] # 7789 solved: rounds:4,rules:3,peak:6,longest:9,steps:20,word:54,work:2833,nodes:30,pairs:29,completionMax:115us [02m00s] 7789 ab:aaa=1,ababb=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [02m00s] from: 7789 ab:aaa=1,ababb=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [02m00s] # 7790 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:18,pairs:1,completionMax:7us [02m00s] 7790 ab:aaa=1,ababb=ab infinite ab - - ab:aaa=1,babb=b [02m00s] from: 7790 ab:aaa=1,ababb=ab infinite to: 753 ab:aaa=1,babb=b infinite a=a,b=b [02m00s] # 7791 solved: rounds:7,rules:74,peak:75,longest:8,steps:12,word:0,work:161348,nodes:249,pairs:506,completionMax:5646us [02m00s] 7791 ab:aaa=1,ababb=ba infinite reversed:acb baab=c frequency:4/0 abc:aaa=1,acac=ccaa,abac=cbaa,aacc=caca,accc=ccca,abcc=cbca,cabc=aaba,ccbc=acba,cbbc=abba,caab=baac,baab=c,aacb=baca,cacb=bacc,bacb=caca,aabb=babc,cabb=baba,babb=aaba,ababc=bb,cbabc=bbaca,bbabc=cb,abcbc=bbcaa,cbcbc=bbcca,bbcbc=cbcaa,abbbc=bbbca,cbbbc=bbbaa,bbbbc=abbaa,acabab=ccbbaa,ababab=cbbbaa,accbab=ccbbac,abcbab=cbbbac,ccbbab=accbaa,cbbbab=abcbaa,accbbb=ccbbba,abcbbb=cbbbba,ccbbbb=ababaa,cbbbbb=baa,acabaac=ccab,ababaac=cbab,accbaac=cccb,abcbaac=cbcb,ccbbaac=acbb,cbbbaac=abbb,accbbac=cccbbaa,abcbbac=cbcbbaa,ccbbbac=acbbbaa,cbbbbac=abbbbaa,accbacc=cccbaca,abcbacc=cbcbaca,ccbbacc=acbbaca,cbbbacc=abbbaca,abcbbab=bbcbbaa,cbcbbab=bbcbbac,bbcbbab=cbcbbaa,abbbbab=bbbbbac,cbbbbab=bbbbbaa,bbbbbab=abbbbaa,cbcbbbb=bbcbbba,bbcbbbb=cbbbbaa,abbbbbb=bbbbbba,bbbbbbb=b,abcbbaac=bbcab,cbcbbaac=bbccb,bbcbbaac=cbcab,abbbbaac=bbbcb,cbbbbaac=bbbab,bbbbbaac=abbab,cbcbbbac=bbccbbaa,bbcbbbac=cbbab,abbbbbac=bbbcbbaa,bbbbbbac=ac,cbcbbacc=bbccbaca,bbcbbacc=cbccb,abbbbacc=bbbcbaca,bbbbbacc=abbcb [02m00s] # 7792 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:11,nodes:14,pairs:1,completionMax:8us [02m00s] 7792 ab:aaa=1,ababb=bb infinite ba - - ab:aaa=1,aabb=babb,ababb=bb [02m00s] # 7793 solved: rounds:5,rules:3,peak:5,longest:10,steps:13,word:6,work:1030,nodes:40,pairs:22,completionMax:110us [02m00s] 7793 ab:aaa=1,abbab=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [02m00s] from: 7793 ab:aaa=1,abbab=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [02m00s] # 7794 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:18,pairs:1,completionMax:13us [02m00s] 7794 ab:aaa=1,abbab=ab infinite ab - - ab:aaa=1,bbab=b [02m00s] from: 7794 ab:aaa=1,abbab=ab infinite to: 753 ab:aaa=1,babb=b infinite anti:a=a,b=b [02m00s] # 7795 solved: rounds:4,rules:17,peak:25,longest:12,steps:16,word:6,work:54297,nodes:146,pairs:177,completionMax:2223us [02m00s] 7795 ab:aaa=1,abbab=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb a/b - - ab:aaa=1,bbab=aaba,abbb=bababaa,ababaab=baabbaa,abaabab=bbaabaa,abaabaab=babba,aabbaab=baababa,aababb=baabaabaa,aababab=bbba,aabaabb=babaaba,bababb=abaaba,abbaabaab=bbaabaaba,ababbaab=babbaaba,bbbbaab=abaa,bbbaabb=ababbaa,ababababab=bbbbbaa,bbbbbbb=b [02m00s] # 7796 solved: rounds:4,rules:8,peak:10,longest:10,steps:6,word:6,work:3840,nodes:76,pairs:24,completionMax:226us [02m00s] 7796 ab:aaa=1,abbab=bb infinite b/a - - ab:bbbbbbbbb=bbb,babbbbbbbb=babb,bbbab=abbbb,aabb=bbab,ababb=babbbbbb,abbab=bb,bbabab=abb,aaa=1 [02m00s] # 7797 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:18,pairs:4,completionMax:22us [02m00s] 7797 ab:aaa=1,abbba=aa infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [02m00s] from: 7797 ab:aaa=1,abbba=aa infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [02m00s] # 7798 solved: rounds:3,rules:3,peak:6,longest:7,steps:2,word:3,work:333,nodes:24,pairs:16,completionMax:73us [02m00s] 7798 ab:aaa=1,abbba=ab finite:21;idempotents:1,abb,aabbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aaa=1 [02m00s] from: 7798 ab:aaa=1,abbba=ab finite:21;idempotents:1,abb,aabbbb,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb anti:a=a,b=b [02m00s] # 7799 solved: rounds:5,rules:12,peak:29,longest:62,steps:31,word:54,work:450195,nodes:524,pairs:295,completionMax:11190us [02m00s] 7799 ab:aaa=1,abbba=bb infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bba,bbbbba=abbbbb,aabb=bbba,ababb=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbba=bb,bbaa=abbb,bbaba=bbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,bbabba=abbbbabbb,bbbabbbba=abbabb,aaa=1,babbabbbba=abbabbbbabbbbbbbbbbbbbbbbbbb [02m00s] # 7800 solved: rounds:2,rules:2,peak:5,longest:16,steps:2,word:6,work:490,nodes:48,pairs:8,completionMax:89us [02m00s] 7800 ab:aaa=1,abbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [02m00s] from: 7800 ab:aaa=1,abbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [02m00s] # 7801 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:18,pairs:1,completionMax:14us [02m00s] 7801 ab:aaa=1,abbbb=ab infinite ab - - ab:aaa=1,bbbb=b [02m00s] from: 7801 ab:aaa=1,abbbb=ab infinite to: 755 ab:aaa=1,bbbb=b infinite a=a,b=b [02m00s] # 7802 solved: rounds:1,rules:3,peak:3,longest:64,steps:67,word:60,work:2770,nodes:132,pairs:1,completionMax:530us [02m00s] 7802 ab:aaa=1,abbbb=ba finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbb,aaa=1 [02m00s] # 7803 solved: rounds:3,rules:3,peak:4,longest:8,steps:1,word:3,work:92,nodes:22,pairs:5,completionMax:25us [02m00s] 7803 ab:aaa=1,abbbb=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,aaa=1 [02m00s] # 7804 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:3,work:61,nodes:14,pairs:5,completionMax:18us [02m00s] 7804 ab:aaa=1,baaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [02m00s] from: 7804 ab:aaa=1,baaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [02m00s] # 7805 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:26,nodes:12,pairs:1,completionMax:6us [02m00s] 7805 ab:aaa=1,baaab=ab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [02m00s] from: 7805 ab:aaa=1,baaab=ab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [02m00s] # 7806 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:4us [02m00s] 7806 ab:aaa=1,baaab=bb infinite ab - - ab:aaa=1 [02m00s] from: 7806 ab:aaa=1,baaab=bb infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [02m00s] # 7807 solved: rounds:3,rules:3,peak:7,longest:48,steps:92,word:51,work:31911,nodes:140,pairs:101,completionMax:1735us [02m00s] 7807 ab:aaa=1,baabb=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [02m00s] from: 7807 ab:aaa=1,baabb=aa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [02m00s] # 7808 solved: rounds:2,rules:4,peak:4,longest:7,steps:2,word:0,work:142,nodes:18,pairs:3,completionMax:17us [02m00s] 7808 ab:aaa=1,baabb=ab infinite ab - - ab:aaa=1,baabb=ab,baabab=aab,baabaab=b [02m00s] # 7809 solved: rounds:2,rules:3,peak:4,longest:7,steps:4,word:6,work:120,nodes:20,pairs:5,completionMax:26us [02m00s] 7809 ab:aaa=1,baabb=ba finite:21;idempotents:1,abb,aabbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aaa=1 [02m00s] from: 7809 ab:aaa=1,baabb=ba finite:21;idempotents:1,abb,aabbbb,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb anti:a=a,b=b [02m00s] # 7810 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:14,pairs:0,completionMax:3us [02m00s] 7810 ab:aaa=1,baabb=bb infinite ab - - ab:aaa=1,baabb=bb [02m00s] # 7811 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:5us [02m00s] 7811 ab:aaa=1,babab=aa infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [02m00s] from: 7811 ab:aaa=1,babab=aa infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [02m00s] # 7812 solved: rounds:4,rules:3,peak:8,longest:7,steps:4,word:3,work:674,nodes:24,pairs:30,completionMax:160us [02m00s] 7812 ab:aaa=1,babab=ab finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [02m00s] from: 7812 ab:aaa=1,babab=ab finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [02m00s] # 7813 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:80,nodes:18,pairs:1,completionMax:10us [02m00s] 7813 ab:aaa=1,babab=bb infinite ab - - ab:aaa=1,bbab=babb,babab=bb [02m00s] # 7814 solved: rounds:3,rules:4,peak:8,longest:13,steps:8,word:9,work:2421,nodes:60,pairs:22,completionMax:170us [02m00s] 7814 ab:aaa=1,babbb=aa finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [02m00s] from: 7814 ab:aaa=1,babbb=aa finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [02m00s] # 7815 solved: rounds:4,rules:4,peak:14,longest:12,steps:18,word:12,work:12288,nodes:76,pairs:25,completionMax:444us [02m00s] 7815 ab:aaa=1,babbb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbbbbb,baab=aabbbbb,aaa=1 [02m00s] # 7816 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:104,nodes:24,pairs:3,completionMax:19us [02m00s] 7816 ab:aaa=1,babbb=ba infinite ab - - ab:aaa=1,bbbb=b,babbb=ba,baabbb=baa [02m00s] # 7817 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:14,pairs:0,completionMax:4us [02m00s] 7817 ab:aaa=1,babbb=bb infinite ab - - ab:aaa=1,babbb=bb [02m00s] # 7818 solved: rounds:3,rules:4,peak:5,longest:7,steps:3,word:0,work:350,nodes:30,pairs:7,completionMax:50us [02m00s] 7818 ab:aaa=1,bbabb=aa infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [02m00s] from: 7818 ab:aaa=1,bbabb=aa infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [02m00s] # 7819 solved: rounds:4,rules:4,peak:13,longest:11,steps:16,word:12,work:5701,nodes:64,pairs:63,completionMax:441us [02m00s] 7819 ab:aaa=1,bbabb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbb,baab=aabbbbbbbb,aaa=1 [02m00s] # 7820 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:14,pairs:0,completionMax:4us [02m00s] 7820 ab:aaa=1,bbabb=bb infinite ab - - ab:aaa=1,bbabb=bb [02m00s] # 7821 solved: rounds:1,rules:2,peak:3,longest:15,steps:2,word:9,work:115,nodes:32,pairs:5,completionMax:20us [02m00s] 7821 ab:aaa=1,bbbbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [02m00s] from: 7821 ab:aaa=1,bbbbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [02m00s] # 7822 solved: rounds:1,rules:3,peak:3,longest:13,steps:2,word:6,work:46,nodes:30,pairs:1,completionMax:12us [02m00s] 7822 ab:aaa=1,bbbbb=ab finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbb,aaa=1 [02m00s] # 7823 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:14,pairs:0,completionMax:5us [02m00s] 7823 ab:aaa=1,bbbbb=bb infinite ab - - ab:aaa=1,bbbbb=bb [02m00s] # 7824 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:59,nodes:10,pairs:4,completionMax:13us [02m00s] 7824 ab:aab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7824 ab:aab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7825 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:12,pairs:2,completionMax:15us [02m00s] 7825 ab:aab=1,aaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7825 ab:aab=1,aaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7826 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:3,work:64,nodes:16,pairs:4,completionMax:33us [02m00s] 7826 ab:aab=1,aaaaa=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7826 ab:aab=1,aaaaa=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7827 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:6,work:235,nodes:26,pairs:5,completionMax:34us [02m00s] 7827 ab:aab=1,aaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7827 ab:aab=1,aaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7828 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:0us [02m00s] 7828 ab:aab=1,aaaab=aa infinite ab - - ab:aab=1 [02m00s] from: 7828 ab:aab=1,aaaab=aa infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7829 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:8us [02m00s] 7829 ab:aab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7829 ab:aab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7830 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:43,nodes:10,pairs:4,completionMax:15us [02m00s] 7830 ab:aab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7830 ab:aab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7831 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:30,nodes:14,pairs:2,completionMax:10us [02m00s] 7831 ab:aab=1,aaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7831 ab:aab=1,aaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7832 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [02m00s] 7832 ab:aab=1,aaaba=aa infinite ab - - ab:aab=1 [02m00s] from: 7832 ab:aab=1,aaaba=aa infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7833 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:7us [02m00s] 7833 ab:aab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7833 ab:aab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7834 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:42,nodes:10,pairs:4,completionMax:13us [02m00s] 7834 ab:aab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7834 ab:aab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7835 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:29,nodes:14,pairs:2,completionMax:8us [02m00s] 7835 ab:aab=1,aaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7835 ab:aab=1,aaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7836 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:4us [02m00s] 7836 ab:aab=1,aaabb=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7836 ab:aab=1,aaabb=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7837 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:0us [02m00s] 7837 ab:aab=1,aaabb=ab infinite ab - - ab:aab=1 [02m00s] from: 7837 ab:aab=1,aaabb=ab infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7838 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:2us [02m00s] 7838 ab:aab=1,aaabb=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7838 ab:aab=1,aaabb=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7839 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:8,pairs:3,completionMax:7us [02m00s] 7839 ab:aab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7839 ab:aab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7840 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:0us [02m00s] 7840 ab:aab=1,aabaa=aa infinite ab - - ab:aab=1 [02m00s] from: 7840 ab:aab=1,aabaa=aa infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7841 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:4us [02m00s] 7841 ab:aab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7841 ab:aab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7842 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:10,pairs:4,completionMax:12us [02m00s] 7842 ab:aab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7842 ab:aab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7843 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:28,nodes:14,pairs:2,completionMax:9us [02m00s] 7843 ab:aab=1,aabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7843 ab:aab=1,aabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7844 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:11us [02m00s] 7844 ab:aab=1,aabab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7844 ab:aab=1,aabab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7845 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:0us [02m00s] 7845 ab:aab=1,aabab=ab infinite ab - - ab:aab=1 [02m00s] from: 7845 ab:aab=1,aabab=ab infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7846 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:3us [02m00s] 7846 ab:aab=1,aabab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7846 ab:aab=1,aabab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7847 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:3,completionMax:8us [02m00s] 7847 ab:aab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7847 ab:aab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7848 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:10,pairs:4,completionMax:16us [02m00s] 7848 ab:aab=1,aabba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7848 ab:aab=1,aabba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7849 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:3us [02m00s] 7849 ab:aab=1,aabba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7849 ab:aab=1,aabba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7850 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 7850 ab:aab=1,aabba=ba infinite ab - - ab:aab=1 [02m00s] from: 7850 ab:aab=1,aabba=ba infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7851 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:11us [02m00s] 7851 ab:aab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7851 ab:aab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7852 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:28,nodes:14,pairs:2,completionMax:11us [02m00s] 7852 ab:aab=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7852 ab:aab=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7853 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:3,completionMax:7us [02m00s] 7853 ab:aab=1,aabbb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7853 ab:aab=1,aabbb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7854 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:9us [02m00s] 7854 ab:aab=1,aabbb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7854 ab:aab=1,aabbb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7855 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:3,nodes:6,pairs:0,completionMax:1us [02m00s] 7855 ab:aab=1,aabbb=bb infinite ab - - ab:aab=1 [02m00s] from: 7855 ab:aab=1,aabbb=bb infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7856 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:51,nodes:12,pairs:4,completionMax:19us [02m00s] 7856 ab:aab=1,abaaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7856 ab:aab=1,abaaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7857 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:183,nodes:12,pairs:10,completionMax:30us [02m00s] 7857 ab:aab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7857 ab:aab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7858 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:401,nodes:20,pairs:26,completionMax:58us [02m00s] 7858 ab:aab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7858 ab:aab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7859 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:3,work:33,nodes:12,pairs:4,completionMax:13us [02m00s] 7859 ab:aab=1,abaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7859 ab:aab=1,abaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7860 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:7us [02m00s] 7860 ab:aab=1,abaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7860 ab:aab=1,abaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7861 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:1us [02m00s] 7861 ab:aab=1,abaab=ab infinite ab - - ab:aab=1 [02m00s] from: 7861 ab:aab=1,abaab=ab infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7862 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:3us [02m00s] 7862 ab:aab=1,abaab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7862 ab:aab=1,abaab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7863 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:8,pairs:3,completionMax:10us [02m00s] 7863 ab:aab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7863 ab:aab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7864 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:192,nodes:14,pairs:10,completionMax:39us [02m00s] 7864 ab:aab=1,ababa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7864 ab:aab=1,ababa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7865 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:132,nodes:18,pairs:9,completionMax:27us [02m00s] 7865 ab:aab=1,ababa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7865 ab:aab=1,ababa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7866 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:187,nodes:18,pairs:9,completionMax:29us [02m00s] 7866 ab:aab=1,ababa=ba infinite ab - - ab:aab=1,bab=abb [02m00s] from: 7866 ab:aab=1,ababa=ba infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [02m00s] # 7867 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:760,nodes:20,pairs:18,completionMax:49us [02m00s] 7867 ab:aab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7867 ab:aab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7868 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:3,work:129,nodes:18,pairs:6,completionMax:35us [02m00s] 7868 ab:aab=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7868 ab:aab=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7869 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:12,pairs:4,completionMax:8us [02m00s] 7869 ab:aab=1,ababb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7869 ab:aab=1,ababb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7870 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:12,pairs:5,completionMax:9us [02m00s] 7870 ab:aab=1,ababb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7870 ab:aab=1,ababb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7871 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [02m00s] 7871 ab:aab=1,ababb=bb infinite ab - - ab:aab=1,ababb=bb [02m00s] # 7872 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:170,nodes:16,pairs:17,completionMax:44us [02m00s] 7872 ab:aab=1,abbaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7872 ab:aab=1,abbaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7873 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:209,nodes:16,pairs:11,completionMax:29us [02m00s] 7873 ab:aab=1,abbaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7873 ab:aab=1,abbaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7874 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:217,nodes:16,pairs:9,completionMax:28us [02m00s] 7874 ab:aab=1,abbaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7874 ab:aab=1,abbaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7875 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:686,nodes:20,pairs:15,completionMax:66us [02m00s] 7875 ab:aab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7875 ab:aab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7876 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:3,work:182,nodes:16,pairs:16,completionMax:48us [02m00s] 7876 ab:aab=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7876 ab:aab=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7877 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:76,nodes:16,pairs:10,completionMax:24us [02m00s] 7877 ab:aab=1,abbab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7877 ab:aab=1,abbab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7878 solved: rounds:2,rules:2,peak:7,longest:5,steps:5,word:0,work:376,nodes:18,pairs:13,completionMax:46us [02m00s] 7878 ab:aab=1,abbab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7878 ab:aab=1,abbab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7879 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:61,nodes:16,pairs:2,completionMax:10us [02m00s] 7879 ab:aab=1,abbab=bb infinite ab - - ab:aab=1,bab=abb [02m00s] from: 7879 ab:aab=1,abbab=bb infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [02m00s] # 7880 solved: rounds:3,rules:2,peak:6,longest:8,steps:2,word:3,work:338,nodes:24,pairs:21,completionMax:51us [02m00s] 7880 ab:aab=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7880 ab:aab=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7881 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:260,nodes:16,pairs:18,completionMax:47us [02m00s] 7881 ab:aab=1,abbba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7881 ab:aab=1,abbba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7882 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:249,nodes:16,pairs:17,completionMax:66us [02m00s] 7882 ab:aab=1,abbba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7882 ab:aab=1,abbba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7883 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:211,nodes:24,pairs:5,completionMax:30us [02m00s] 7883 ab:aab=1,abbba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7883 ab:aab=1,abbba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7884 solved: rounds:2,rules:2,peak:5,longest:10,steps:3,word:6,work:219,nodes:24,pairs:7,completionMax:43us [02m00s] 7884 ab:aab=1,abbbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7884 ab:aab=1,abbbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7885 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:54,nodes:16,pairs:6,completionMax:27us [02m00s] 7885 ab:aab=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7885 ab:aab=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7886 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:3,work:242,nodes:16,pairs:16,completionMax:38us [02m00s] 7886 ab:aab=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7886 ab:aab=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7887 solved: rounds:4,rules:2,peak:3,longest:5,steps:4,word:0,work:169,nodes:16,pairs:12,completionMax:25us [02m00s] 7887 ab:aab=1,abbbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7887 ab:aab=1,abbbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7888 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:27,nodes:14,pairs:3,completionMax:11us [02m00s] 7888 ab:aab=1,baaaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7888 ab:aab=1,baaaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7889 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:534,nodes:20,pairs:19,completionMax:73us [02m00s] 7889 ab:aab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7889 ab:aab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7890 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:197,nodes:16,pairs:13,completionMax:39us [02m00s] 7890 ab:aab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7890 ab:aab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7891 solved: rounds:2,rules:2,peak:4,longest:12,steps:1,word:3,work:305,nodes:26,pairs:6,completionMax:36us [02m00s] 7891 ab:aab=1,baaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7891 ab:aab=1,baaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7892 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:43,nodes:10,pairs:4,completionMax:13us [02m00s] 7892 ab:aab=1,baaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7892 ab:aab=1,baaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7893 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:3us [02m00s] 7893 ab:aab=1,baaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7893 ab:aab=1,baaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7894 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:0us [02m00s] 7894 ab:aab=1,baaab=ba infinite ab - - ab:aab=1 [02m00s] from: 7894 ab:aab=1,baaab=ba infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7895 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:8us [02m00s] 7895 ab:aab=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7895 ab:aab=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7896 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:42,nodes:10,pairs:4,completionMax:13us [02m00s] 7896 ab:aab=1,baaba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7896 ab:aab=1,baaba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7897 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:3us [02m00s] 7897 ab:aab=1,baaba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7897 ab:aab=1,baaba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7898 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:1us [02m00s] 7898 ab:aab=1,baaba=ba infinite ab - - ab:aab=1 [02m00s] from: 7898 ab:aab=1,baaba=ba infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7899 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:2,completionMax:9us [02m00s] 7899 ab:aab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7899 ab:aab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7900 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:29,nodes:14,pairs:2,completionMax:9us [02m00s] 7900 ab:aab=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7900 ab:aab=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7901 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:8,pairs:3,completionMax:6us [02m00s] 7901 ab:aab=1,baabb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7901 ab:aab=1,baabb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7902 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:2,completionMax:5us [02m00s] 7902 ab:aab=1,baabb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7902 ab:aab=1,baabb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7903 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:4,nodes:6,pairs:0,completionMax:1us [02m00s] 7903 ab:aab=1,baabb=bb infinite ab - - ab:aab=1 [02m00s] from: 7903 ab:aab=1,baabb=bb infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7904 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:274,nodes:18,pairs:22,completionMax:38us [02m00s] 7904 ab:aab=1,babaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7904 ab:aab=1,babaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7905 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:227,nodes:20,pairs:13,completionMax:25us [02m00s] 7905 ab:aab=1,babaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7905 ab:aab=1,babaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7906 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:142,nodes:18,pairs:11,completionMax:26us [02m00s] 7906 ab:aab=1,babaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7906 ab:aab=1,babaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7907 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:633,nodes:22,pairs:24,completionMax:57us [02m00s] 7907 ab:aab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7907 ab:aab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7908 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:319,nodes:22,pairs:16,completionMax:60us [02m00s] 7908 ab:aab=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7908 ab:aab=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7909 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:98,nodes:14,pairs:6,completionMax:23us [02m00s] 7909 ab:aab=1,babab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7909 ab:aab=1,babab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7910 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:285,nodes:20,pairs:18,completionMax:42us [02m00s] 7910 ab:aab=1,babab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7910 ab:aab=1,babab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7911 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:196,nodes:22,pairs:5,completionMax:27us [02m00s] 7911 ab:aab=1,babab=bb infinite ab - - ab:aab=1,bab=abb [02m00s] from: 7911 ab:aab=1,babab=bb infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [02m00s] # 7912 solved: rounds:2,rules:2,peak:8,longest:7,steps:3,word:3,work:516,nodes:26,pairs:17,completionMax:56us [02m00s] 7912 ab:aab=1,babba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7912 ab:aab=1,babba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7913 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:773,nodes:20,pairs:25,completionMax:61us [02m00s] 7913 ab:aab=1,babba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7913 ab:aab=1,babba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7914 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:179,nodes:18,pairs:14,completionMax:43us [02m00s] 7914 ab:aab=1,babba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7914 ab:aab=1,babba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7915 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:295,nodes:26,pairs:13,completionMax:32us [02m00s] 7915 ab:aab=1,babba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7915 ab:aab=1,babba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7916 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:6,work:534,nodes:36,pairs:21,completionMax:89us [02m00s] 7916 ab:aab=1,babbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7916 ab:aab=1,babbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7917 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:3,work:359,nodes:20,pairs:20,completionMax:55us [02m00s] 7917 ab:aab=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7917 ab:aab=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7918 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:433,nodes:28,pairs:20,completionMax:74us [02m00s] 7918 ab:aab=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7918 ab:aab=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7919 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:67,nodes:18,pairs:6,completionMax:18us [02m00s] 7919 ab:aab=1,babbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7919 ab:aab=1,babbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7920 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:239,nodes:18,pairs:18,completionMax:39us [02m00s] 7920 ab:aab=1,bbaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7920 ab:aab=1,bbaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7921 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:162,nodes:22,pairs:11,completionMax:23us [02m00s] 7921 ab:aab=1,bbaaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7921 ab:aab=1,bbaaa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7922 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:96,nodes:20,pairs:7,completionMax:21us [02m00s] 7922 ab:aab=1,bbaaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7922 ab:aab=1,bbaaa=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7923 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:436,nodes:18,pairs:12,completionMax:41us [02m00s] 7923 ab:aab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7923 ab:aab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7924 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:3,work:30,nodes:14,pairs:2,completionMax:8us [02m00s] 7924 ab:aab=1,bbaab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7924 ab:aab=1,bbaab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7925 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:8,pairs:3,completionMax:5us [02m00s] 7925 ab:aab=1,bbaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7925 ab:aab=1,bbaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7926 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:5us [02m00s] 7926 ab:aab=1,bbaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7926 ab:aab=1,bbaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7927 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:5,nodes:6,pairs:0,completionMax:0us [02m00s] 7927 ab:aab=1,bbaab=bb infinite ab - - ab:aab=1 [02m00s] from: 7927 ab:aab=1,bbaab=bb infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [02m00s] # 7928 solved: rounds:4,rules:2,peak:10,longest:7,steps:2,word:3,work:901,nodes:26,pairs:48,completionMax:107us [02m00s] 7928 ab:aab=1,bbaba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7928 ab:aab=1,bbaba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7929 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:314,nodes:18,pairs:20,completionMax:55us [02m00s] 7929 ab:aab=1,bbaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7929 ab:aab=1,bbaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7930 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:321,nodes:20,pairs:21,completionMax:61us [02m00s] 7930 ab:aab=1,bbaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7930 ab:aab=1,bbaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7931 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:73,nodes:18,pairs:7,completionMax:22us [02m00s] 7931 ab:aab=1,bbaba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7931 ab:aab=1,bbaba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7932 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:6,work:731,nodes:36,pairs:24,completionMax:101us [02m00s] 7932 ab:aab=1,bbabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7932 ab:aab=1,bbabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7933 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:176,nodes:18,pairs:13,completionMax:34us [02m00s] 7933 ab:aab=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7933 ab:aab=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7934 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:858,nodes:24,pairs:30,completionMax:126us [02m00s] 7934 ab:aab=1,bbabb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7934 ab:aab=1,bbabb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7935 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:77,nodes:18,pairs:5,completionMax:22us [02m00s] 7935 ab:aab=1,bbabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7935 ab:aab=1,bbabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7936 solved: rounds:3,rules:2,peak:6,longest:8,steps:2,word:3,work:341,nodes:24,pairs:18,completionMax:66us [02m00s] 7936 ab:aab=1,bbbaa=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7936 ab:aab=1,bbbaa=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7937 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:461,nodes:20,pairs:30,completionMax:53us [02m00s] 7937 ab:aab=1,bbbaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7937 ab:aab=1,bbbaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7938 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:0,work:328,nodes:20,pairs:36,completionMax:85us [02m00s] 7938 ab:aab=1,bbbaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7938 ab:aab=1,bbbaa=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7939 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:258,nodes:20,pairs:14,completionMax:34us [02m00s] 7939 ab:aab=1,bbbaa=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7939 ab:aab=1,bbbaa=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7940 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:6,work:450,nodes:24,pairs:17,completionMax:53us [02m00s] 7940 ab:aab=1,bbbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7940 ab:aab=1,bbbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7941 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:3,work:272,nodes:16,pairs:20,completionMax:46us [02m00s] 7941 ab:aab=1,bbbab=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7941 ab:aab=1,bbbab=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7942 solved: rounds:4,rules:2,peak:8,longest:6,steps:2,word:3,work:383,nodes:24,pairs:30,completionMax:72us [02m00s] 7942 ab:aab=1,bbbab=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7942 ab:aab=1,bbbab=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7943 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:113,nodes:16,pairs:10,completionMax:27us [02m00s] 7943 ab:aab=1,bbbab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7943 ab:aab=1,bbbab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7944 solved: rounds:4,rules:2,peak:7,longest:9,steps:4,word:6,work:799,nodes:28,pairs:29,completionMax:98us [02m00s] 7944 ab:aab=1,bbbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7944 ab:aab=1,bbbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7945 solved: rounds:4,rules:2,peak:8,longest:8,steps:7,word:6,work:659,nodes:22,pairs:27,completionMax:93us [02m00s] 7945 ab:aab=1,bbbba=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7945 ab:aab=1,bbbba=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7946 solved: rounds:4,rules:2,peak:6,longest:7,steps:2,word:3,work:283,nodes:18,pairs:19,completionMax:67us [02m00s] 7946 ab:aab=1,bbbba=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7946 ab:aab=1,bbbba=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7947 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:726,nodes:14,pairs:37,completionMax:90us [02m00s] 7947 ab:aab=1,bbbba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7947 ab:aab=1,bbbba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7948 solved: rounds:5,rules:2,peak:5,longest:12,steps:6,word:9,work:500,nodes:24,pairs:14,completionMax:66us [02m00s] 7948 ab:aab=1,bbbbb=aa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [02m00s] from: 7948 ab:aab=1,bbbbb=aa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [02m00s] # 7949 solved: rounds:5,rules:2,peak:7,longest:9,steps:6,word:6,work:707,nodes:18,pairs:32,completionMax:99us [02m00s] 7949 ab:aab=1,bbbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7949 ab:aab=1,bbbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7950 solved: rounds:5,rules:2,peak:6,longest:9,steps:6,word:6,work:523,nodes:18,pairs:23,completionMax:75us [02m00s] 7950 ab:aab=1,bbbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7950 ab:aab=1,bbbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7951 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:3,work:121,nodes:14,pairs:7,completionMax:57us [02m00s] 7951 ab:aab=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7951 ab:aab=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7952 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:154,nodes:14,pairs:10,completionMax:37us [02m00s] 7952 ab:aba=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7952 ab:aba=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7953 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:3,work:18,nodes:12,pairs:3,completionMax:17us [02m00s] 7953 ab:aba=1,aaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7953 ab:aba=1,aaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7954 solved: rounds:2,rules:2,peak:4,longest:9,steps:5,word:6,work:84,nodes:20,pairs:4,completionMax:20us [02m00s] 7954 ab:aba=1,aaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 7954 ab:aba=1,aaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 7955 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:55,nodes:14,pairs:5,completionMax:19us [02m00s] 7955 ab:aba=1,aaaab=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7955 ab:aba=1,aaaab=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7956 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:72,nodes:14,pairs:9,completionMax:24us [02m00s] 7956 ab:aba=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7956 ab:aba=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7957 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:81,nodes:14,pairs:9,completionMax:24us [02m00s] 7957 ab:aba=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7957 ab:aba=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7958 solved: rounds:3,rules:2,peak:4,longest:6,steps:9,word:3,work:213,nodes:12,pairs:8,completionMax:24us [02m00s] 7958 ab:aba=1,aaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7958 ab:aba=1,aaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7959 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:2,completionMax:7us [02m00s] 7959 ab:aba=1,aaaba=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7959 ab:aba=1,aaaba=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7960 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:40,nodes:8,pairs:3,completionMax:10us [02m00s] 7960 ab:aba=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7960 ab:aba=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7961 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:8,pairs:3,completionMax:5us [02m00s] 7961 ab:aba=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7961 ab:aba=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7962 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:56,nodes:14,pairs:4,completionMax:19us [02m00s] 7962 ab:aba=1,aaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7962 ab:aba=1,aaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7963 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:160,nodes:16,pairs:11,completionMax:34us [02m00s] 7963 ab:aba=1,aaabb=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7963 ab:aba=1,aaabb=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7964 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:47,nodes:16,pairs:4,completionMax:13us [02m00s] 7964 ab:aba=1,aaabb=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7964 ab:aba=1,aaabb=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7965 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:4,completionMax:11us [02m00s] 7965 ab:aba=1,aaabb=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7965 ab:aba=1,aaabb=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7966 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:224,nodes:16,pairs:11,completionMax:37us [02m00s] 7966 ab:aba=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7966 ab:aba=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7967 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:2,completionMax:6us [02m00s] 7967 ab:aba=1,aabaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7967 ab:aba=1,aabaa=aa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7968 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:3,completionMax:11us [02m00s] 7968 ab:aba=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7968 ab:aba=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7969 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:55,nodes:14,pairs:4,completionMax:16us [02m00s] 7969 ab:aba=1,aabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7969 ab:aba=1,aabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7970 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:3,completionMax:8us [02m00s] 7970 ab:aba=1,aabab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7970 ab:aba=1,aabab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7971 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:2,completionMax:7us [02m00s] 7971 ab:aba=1,aabab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7971 ab:aba=1,aabab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7972 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:1,completionMax:4us [02m00s] 7972 ab:aba=1,aabab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7972 ab:aba=1,aabab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7973 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:8,pairs:5,completionMax:10us [02m00s] 7973 ab:aba=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7973 ab:aba=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7974 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:99,nodes:14,pairs:7,completionMax:22us [02m00s] 7974 ab:aba=1,aabba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7974 ab:aba=1,aabba=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7975 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:83,nodes:14,pairs:5,completionMax:16us [02m00s] 7975 ab:aba=1,aabba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7975 ab:aba=1,aabba=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7976 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:80,nodes:14,pairs:4,completionMax:22us [02m00s] 7976 ab:aba=1,aabba=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7976 ab:aba=1,aabba=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7977 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:315,nodes:18,pairs:14,completionMax:34us [02m00s] 7977 ab:aba=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7977 ab:aba=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7978 solved: rounds:5,rules:2,peak:4,longest:6,steps:6,word:3,work:236,nodes:18,pairs:11,completionMax:35us [02m00s] 7978 ab:aba=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7978 ab:aba=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7979 solved: rounds:4,rules:2,peak:4,longest:5,steps:3,word:0,work:154,nodes:16,pairs:9,completionMax:18us [02m00s] 7979 ab:aba=1,aabbb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7979 ab:aba=1,aabbb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7980 solved: rounds:4,rules:2,peak:4,longest:5,steps:3,word:0,work:160,nodes:16,pairs:9,completionMax:19us [02m00s] 7980 ab:aba=1,aabbb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7980 ab:aba=1,aabbb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7981 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:37,nodes:14,pairs:2,completionMax:11us [02m00s] 7981 ab:aba=1,aabbb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7981 ab:aba=1,aabbb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7982 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:3,completionMax:8us [02m00s] 7982 ab:aba=1,abaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7982 ab:aba=1,abaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7983 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:2,completionMax:6us [02m00s] 7983 ab:aba=1,abaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7983 ab:aba=1,abaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7984 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:1,completionMax:4us [02m00s] 7984 ab:aba=1,abaab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7984 ab:aba=1,abaab=ba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7985 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:50,nodes:8,pairs:5,completionMax:9us [02m00s] 7985 ab:aba=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7985 ab:aba=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7986 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:3,completionMax:8us [02m00s] 7986 ab:aba=1,ababa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7986 ab:aba=1,ababa=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7987 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:1,completionMax:3us [02m00s] 7987 ab:aba=1,ababa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7987 ab:aba=1,ababa=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7988 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:61,nodes:8,pairs:5,completionMax:9us [02m00s] 7988 ab:aba=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7988 ab:aba=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7989 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:54,nodes:14,pairs:4,completionMax:11us [02m00s] 7989 ab:aba=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7989 ab:aba=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7990 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:50,nodes:8,pairs:5,completionMax:9us [02m00s] 7990 ab:aba=1,ababb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7990 ab:aba=1,ababb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7991 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:61,nodes:8,pairs:5,completionMax:7us [02m00s] 7991 ab:aba=1,ababb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7991 ab:aba=1,ababb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7992 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:2,completionMax:9us [02m00s] 7992 ab:aba=1,ababb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7992 ab:aba=1,ababb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7993 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:6,work:438,nodes:24,pairs:9,completionMax:56us [02m00s] 7993 ab:aba=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7993 ab:aba=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7994 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:107,nodes:12,pairs:9,completionMax:21us [02m00s] 7994 ab:aba=1,abbab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7994 ab:aba=1,abbab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7995 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:108,nodes:12,pairs:8,completionMax:19us [02m00s] 7995 ab:aba=1,abbab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7995 ab:aba=1,abbab=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7996 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:79,nodes:12,pairs:5,completionMax:13us [02m00s] 7996 ab:aba=1,abbab=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7996 ab:aba=1,abbab=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 7997 solved: rounds:5,rules:2,peak:4,longest:6,steps:4,word:3,work:199,nodes:16,pairs:12,completionMax:39us [02m00s] 7997 ab:aba=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 7997 ab:aba=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 7998 solved: rounds:4,rules:2,peak:4,longest:5,steps:4,word:0,work:185,nodes:12,pairs:10,completionMax:25us [02m00s] 7998 ab:aba=1,abbba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 7998 ab:aba=1,abbba=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 7999 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:91,nodes:12,pairs:5,completionMax:21us [02m00s] 7999 ab:aba=1,abbba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 7999 ab:aba=1,abbba=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 8000 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:408,nodes:18,pairs:10,completionMax:40us [02m00s] 8000 ab:aba=1,abbbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 8000 ab:aba=1,abbbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 8001 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:223,nodes:16,pairs:10,completionMax:29us [02m00s] 8001 ab:aba=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8001 ab:aba=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8002 solved: rounds:3,rules:2,peak:6,longest:6,steps:9,word:6,work:674,nodes:18,pairs:23,completionMax:54us [02m00s] 8002 ab:aba=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8002 ab:aba=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8003 solved: rounds:5,rules:2,peak:4,longest:5,steps:5,word:0,work:451,nodes:16,pairs:9,completionMax:31us [02m00s] 8003 ab:aba=1,abbbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8003 ab:aba=1,abbbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8004 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:98,nodes:16,pairs:15,completionMax:26us [02m00s] 8004 ab:aba=1,baaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8004 ab:aba=1,baaab=aa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8005 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:57,nodes:14,pairs:5,completionMax:9us [02m00s] 8005 ab:aba=1,baaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 8005 ab:aba=1,baaab=ab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 8006 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:133,nodes:16,pairs:14,completionMax:25us [02m00s] 8006 ab:aba=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8006 ab:aba=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8007 solved: rounds:2,rules:2,peak:5,longest:6,steps:13,word:6,work:701,nodes:18,pairs:15,completionMax:40us [02m00s] 8007 ab:aba=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8007 ab:aba=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8008 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:146,nodes:14,pairs:11,completionMax:18us [02m00s] 8008 ab:aba=1,baabb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8008 ab:aba=1,baabb=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8009 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:102,nodes:14,pairs:9,completionMax:15us [02m00s] 8009 ab:aba=1,baabb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8009 ab:aba=1,baabb=ba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8010 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:46,nodes:14,pairs:2,completionMax:15us [02m00s] 8010 ab:aba=1,baabb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 8010 ab:aba=1,baabb=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 8011 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:55,nodes:14,pairs:4,completionMax:20us [02m00s] 8011 ab:aba=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8011 ab:aba=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8012 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:8,pairs:5,completionMax:12us [02m00s] 8012 ab:aba=1,babab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8012 ab:aba=1,babab=ab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8013 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:2,completionMax:5us [02m00s] 8013 ab:aba=1,babab=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [02m00s] from: 8013 ab:aba=1,babab=bb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [02m00s] # 8014 solved: rounds:3,rules:2,peak:5,longest:16,steps:13,word:12,work:1233,nodes:38,pairs:17,completionMax:73us [02m00s] 8014 ab:aba=1,babbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 8014 ab:aba=1,babbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 8015 solved: rounds:3,rules:2,peak:7,longest:11,steps:13,word:6,work:1156,nodes:34,pairs:15,completionMax:91us [02m00s] 8015 ab:aba=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8015 ab:aba=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8016 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:166,nodes:16,pairs:10,completionMax:27us [02m00s] 8016 ab:aba=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8016 ab:aba=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8017 solved: rounds:4,rules:2,peak:4,longest:5,steps:5,word:0,work:301,nodes:16,pairs:8,completionMax:39us [02m00s] 8017 ab:aba=1,babbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8017 ab:aba=1,babbb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8018 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:397,nodes:18,pairs:13,completionMax:50us [02m00s] 8018 ab:aba=1,bbabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 8018 ab:aba=1,bbabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 8019 solved: rounds:3,rules:2,peak:6,longest:12,steps:29,word:9,work:2967,nodes:28,pairs:24,completionMax:148us [02m00s] 8019 ab:aba=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8019 ab:aba=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8020 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:0,work:218,nodes:14,pairs:7,completionMax:25us [02m00s] 8020 ab:aba=1,bbabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [02m00s] from: 8020 ab:aba=1,bbabb=bb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [02m00s] # 8021 solved: rounds:7,rules:2,peak:4,longest:12,steps:9,word:9,work:888,nodes:24,pairs:14,completionMax:68us [02m00s] 8021 ab:aba=1,bbbbb=aa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [02m00s] from: 8021 ab:aba=1,bbbbb=aa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [02m00s] # 8022 solved: rounds:7,rules:2,peak:4,longest:9,steps:6,word:6,work:484,nodes:18,pairs:14,completionMax:61us [02m00s] 8022 ab:aba=1,bbbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [02m00s] from: 8022 ab:aba=1,bbbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [02m00s] # 8023 solved: rounds:7,rules:2,peak:4,longest:6,steps:5,word:3,work:233,nodes:14,pairs:10,completionMax:48us [02m00s] 8023 ab:aba=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [02m00s] from: 8023 ab:aba=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [02m00s] # 8024 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:3us [02m00s] 8024 ab:aaa=1,aaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [02m00s] from: 8024 ab:aaa=1,aaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [02m00s] # 8025 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:14,nodes:6,pairs:2,completionMax:8us [02m00s] 8025 ab:aaa=1,aaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [02m00s] from: 8025 ab:aaa=1,aaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [02m00s] # 8026 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:1,work:30,nodes:10,pairs:4,completionMax:14us [02m00s] 8026 ab:aaa=1,aaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [02m00s] from: 8026 ab:aaa=1,aaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [02m00s] # 8027 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:6us [02m00s] 8027 ab:aaa=1,aaaa=abb infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [02m00s] from: 8027 ab:aaa=1,aaaa=abb infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [02m00s] # 8028 solved: rounds:2,rules:3,peak:5,longest:3,steps:3,word:0,work:76,nodes:10,pairs:4,completionMax:19us [02m00s] 8028 ab:aaa=1,aaaa=bab finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [02m00s] from: 8028 ab:aaa=1,aaaa=bab finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [02m00s] # 8029 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:57,nodes:18,pairs:3,completionMax:17us [02m00s] 8029 ab:aaa=1,aaaa=bbb finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [02m00s] from: 8029 ab:aaa=1,aaaa=bbb finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [02m00s] # 8030 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:3us [02m00s] 8030 ab:aaa=1,aaab=aaa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8030 ab:aaa=1,aaab=aaa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 8031 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:6,pairs:2,completionMax:7us [02m00s] 8031 ab:aaa=1,aaab=aab infinite ab - - ab:ab=b,aaa=1 [02m00s] from: 8031 ab:aaa=1,aaab=aab infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [02m00s] # 8032 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:3,work:64,nodes:8,pairs:3,completionMax:11us [02m00s] 8032 ab:aaa=1,aaab=aba infinite a/b - - ab:aaa=1,ab=baa [02m00s] from: 8032 ab:aaa=1,aaab=aba infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [02m00s] # 8033 solved: rounds:3,rules:3,peak:4,longest:4,steps:1,word:1,work:38,nodes:12,pairs:6,completionMax:16us [02m00s] 8033 ab:aaa=1,aaab=abb finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [02m00s] from: 8033 ab:aaa=1,aaab=abb finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [02m00s] # 8034 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:10,pairs:2,completionMax:5us [02m00s] 8034 ab:aaa=1,aaab=baa infinite ab - - ab:ba=b,aaa=1 [02m00s] from: 8034 ab:aaa=1,aaab=baa infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [02m00s] # 8035 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:3us [02m00s] 8035 ab:aaa=1,aaab=bab infinite ab - - ab:aaa=1,bab=b [02m00s] from: 8035 ab:aaa=1,aaab=bab infinite to: 2576 ab:aaa=1,abab=ab infinite a=a,b=b [02m00s] # 8036 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:1,work:34,nodes:12,pairs:3,completionMax:16us [02m00s] 8036 ab:aaa=1,aaab=bba finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [02m00s] from: 8036 ab:aaa=1,aaab=bba finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [02m00s] # 8037 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:2us [02m00s] 8037 ab:aaa=1,aaab=bbb infinite ab - - ab:aaa=1,bbb=b [02m00s] from: 8037 ab:aaa=1,aaab=bbb infinite to: 2583 ab:aaa=1,abbb=ab infinite a=a,b=b [02m00s] # 8038 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:10,pairs:9,completionMax:16us [02m00s] 8038 ab:aaa=1,aaba=aaa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8038 ab:aaa=1,aaba=aaa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [02m00s] # 8039 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:10,pairs:3,completionMax:8us [02m00s] 8039 ab:aaa=1,aaba=aab infinite ab - - ab:ba=b,aaa=1 [02m00s] from: 8039 ab:aaa=1,aaba=aab infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [02m00s] # 8040 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:114,nodes:10,pairs:9,completionMax:20us [02m00s] 8040 ab:aaa=1,aaba=aba infinite ab - - ab:ab=b,aaa=1 [02m00s] from: 8040 ab:aaa=1,aaba=aba infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [02m00s] # 8041 solved: rounds:4,rules:5,peak:5,longest:8,steps:16,word:1,work:1204,nodes:28,pairs:7,completionMax:47us [02m00s] 8041 ab:aaa=1,aaba=abb finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [02m00s] from: 8041 ab:aaa=1,aaba=abb finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [02m00s] # 8042 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:120,nodes:10,pairs:12,completionMax:30us [02m00s] 8042 ab:aaa=1,aaba=baa infinite a/b - - ab:aaa=1,ab=baa [02m00s] from: 8042 ab:aaa=1,aaba=baa infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [02m00s] # 8043 solved: rounds:3,rules:6,peak:8,longest:6,steps:8,word:4,work:1122,nodes:32,pairs:26,completionMax:81us [02m00s] 8043 ab:aaa=1,aaba=bab finite:24;idempotents:1,bbb;center:1,bbb a/b - - ab:aaa=1,bab=aaba,abb=baabaa,aabaab=bba,bbaab=abaa,bbbb=b [02m00s] from: 8043 ab:aaa=1,aaba=bab finite:24;idempotents:1,bbb;center:1,bbb to: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb a=a,b=b [02m00s] # 8044 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:278,nodes:16,pairs:19,completionMax:35us [02m00s] 8044 ab:aaa=1,aaba=bba finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [02m00s] from: 8044 ab:aaa=1,aaba=bba finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [02m00s] # 8045 solved: rounds:2,rules:3,peak:4,longest:29,steps:29,word:50,work:1681,nodes:110,pairs:10,completionMax:141us [02m00s] 8045 ab:aaa=1,aaba=bbb finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbb,aaa=1 [02m00s] from: 8045 ab:aaa=1,aaba=bbb finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb to: 2584 ab:aaa=1,abbb=ba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 8046 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:54,nodes:12,pairs:7,completionMax:16us [02m00s] 8046 ab:aaa=1,aabb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 8046 ab:aaa=1,aabb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 8047 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:10,pairs:2,completionMax:7us [02m00s] 8047 ab:aaa=1,aabb=aab infinite ab - - ab:bb=b,aaa=1 [02m00s] from: 8047 ab:aaa=1,aabb=aab infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [02m00s] # 8048 solved: rounds:2,rules:3,peak:4,longest:9,steps:9,word:6,work:312,nodes:34,pairs:5,completionMax:37us [02m00s] 8048 ab:aaa=1,aabb=aba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [02m00s] from: 8048 ab:aaa=1,aabb=aba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb a=a,b=b [02m00s] # 8049 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:10,pairs:2,completionMax:5us [02m00s] 8049 ab:aaa=1,aabb=abb infinite ab - - ab:aaa=1,abb=bb [02m00s] from: 8049 ab:aaa=1,aabb=abb infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [02m00s] # 8050 solved: rounds:1,rules:3,peak:4,longest:8,steps:21,word:9,work:432,nodes:22,pairs:2,completionMax:19us [02m00s] 8050 ab:aaa=1,aabb=baa finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [02m00s] from: 8050 ab:aaa=1,aabb=baa finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [02m00s] # 8051 solved: rounds:2,rules:3,peak:4,longest:7,steps:4,word:1,work:171,nodes:20,pairs:4,completionMax:19us [02m00s] 8051 ab:aaa=1,aabb=bab infinite reversed:a/b - - ab:aaa=1,bab=aabb,baabb=abbb [02m00s] from: 8051 ab:aaa=1,aabb=bab infinite to: 2578 ab:aaa=1,abab=bb infinite a=a,b=b [02m00s] # 8052 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:29,nodes:10,pairs:2,completionMax:9us [02m00s] 8052 ab:aaa=1,aabb=bba infinite a/b - - ab:aaa=1,abb=bbaa [02m00s] from: 8052 ab:aaa=1,aabb=bba infinite to: 2581 ab:aaa=1,abba=bb infinite a=a,b=b [02m00s] # 8053 solved: rounds:1,rules:3,peak:4,longest:5,steps:2,word:1,work:88,nodes:18,pairs:2,completionMax:19us [02m00s] 8053 ab:aaa=1,aabb=bbb infinite b/a - - ab:bbbbb=bb,abb=bbbb,aaa=1 [02m00s] from: 8053 ab:aaa=1,aabb=bbb infinite to: 2585 ab:aaa=1,abbb=bb infinite a=a,b=b [02m00s] # 8054 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:14,pairs:1,completionMax:10us [02m00s] 8054 ab:aaa=1,abab=aaa infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [02m00s] from: 8054 ab:aaa=1,abab=aaa infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [02m00s] # 8055 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:186,nodes:18,pairs:10,completionMax:36us [02m00s] 8055 ab:aaa=1,abab=aab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [02m00s] from: 8055 ab:aaa=1,abab=aab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [02m00s] # 8056 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:231,nodes:18,pairs:9,completionMax:31us [02m00s] 8056 ab:aaa=1,abab=aba finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ba,baab=baa [02m00s] from: 8056 ab:aaa=1,abab=aba finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa anti:a=a,b=b [02m00s] # 8057 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:35,nodes:14,pairs:2,completionMax:10us [02m00s] 8057 ab:aaa=1,abab=abb infinite ab - - ab:aaa=1,bab=bb [02m00s] # 8058 solved: rounds:3,rules:6,peak:9,longest:8,steps:6,word:2,work:1346,nodes:44,pairs:17,completionMax:94us [02m00s] 8058 ab:aaa=1,abab=baa finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaa=1 [02m00s] from: 8058 ab:aaa=1,abab=baa finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 2435 ab:aaa=1,ababa=b finite:27;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [02m00s] # 8059 solved: rounds:1,rules:3,peak:5,longest:4,steps:3,word:2,work:90,nodes:15,pairs:5,completionMax:12us [02m00s] 8059 ab:aaa=1,abab=bab infinite ac/b ab=c frequency:2/0 abc:aaa=1,acc=cc,b=aac [02m00s] from: 8059 ab:aaa=1,abab=bab infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=aab,c=b [02m00s] # 8060 solved: rounds:8,rules:7,peak:13,longest:17,steps:39,word:5,work:76929,nodes:140,pairs:42,completionMax:2437us [02m00s] 8060 ab:aaa=1,abab=bba infinite reversed:a/b - - ab:aaa=1,bba=abab,babaa=aabb,baababa=aabaabb,babababa=aabaabaabb,baabaabaabab=aabaabaabaabb,baabaabaabaabb=abaabaabaabbb [02m00s] # 8061 solved: rounds:3,rules:9,peak:9,longest:11,steps:6,word:2,work:3177,nodes:78,pairs:12,completionMax:141us [02m00s] 8061 ab:aaa=1,abab=bbb infinite b/a - - ab:bbbbbbbbbbb=bbbbb,babbbbbbbbb=babbb,bbabbbbbbbb=bbabb,bbbab=abbbb,aabbb=bab,abab=bbb,abbabb=bbabbbb,babbab=abbbbbb,aaa=1 [02m00s] # 8062 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:115,nodes:14,pairs:11,completionMax:45us [02m00s] 8062 ab:aaa=1,abba=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 8062 ab:aaa=1,abba=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 8063 solved: rounds:4,rules:3,peak:4,longest:9,steps:11,word:4,work:520,nodes:34,pairs:12,completionMax:70us [02m00s] 8063 ab:aaa=1,abba=aab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [02m00s] from: 8063 ab:aaa=1,abba=aab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [02m00s] # 8064 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:69,nodes:14,pairs:4,completionMax:29us [02m00s] 8064 ab:aaa=1,abba=aba infinite ab - - ab:bb=b,aaa=1 [02m00s] from: 8064 ab:aaa=1,abba=aba infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [02m00s] # 8065 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:35,nodes:14,pairs:2,completionMax:14us [02m00s] 8065 ab:aaa=1,abba=abb infinite ab - - ab:aaa=1,bba=bb [02m00s] from: 8065 ab:aaa=1,abba=abb infinite to: 2574 ab:aaa=1,aabb=bb infinite anti:a=a,b=b [02m00s] # 8066 solved: rounds:1,rules:3,peak:4,longest:5,steps:8,word:4,work:182,nodes:14,pairs:3,completionMax:28us [02m00s] 8066 ab:aaa=1,abba=bab infinite a/b - - ab:aaa=1,abb=babaa,aabab=bba [02m00s] # 8067 solved: rounds:7,rules:13,peak:24,longest:36,steps:27,word:56,work:226958,nodes:446,pairs:249,completionMax:6954us [02m00s] 8067 ab:aaa=1,abba=bbb infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bba,bbbbba=abbbbb,aabb=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbb,abbbba=bbbabbb,bbaa=bbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaba=abbbabbb,bbbabbba=ababb,aaa=1,aababb=bbabbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,abababb=babbbabbbbbbbb,bababbba=ababbbabbbbbbbbbbbbbbbbbbb [02m00s] # 8068 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:77,nodes:24,pairs:5,completionMax:25us [02m00s] 8068 ab:aaa=1,abbb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 8068 ab:aaa=1,abbb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 8069 solved: rounds:1,rules:3,peak:4,longest:7,steps:3,word:2,work:59,nodes:18,pairs:2,completionMax:14us [02m00s] 8069 ab:aaa=1,abbb=aab finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [02m00s] from: 8069 ab:aaa=1,abbb=aab finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [02m00s] # 8070 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:2,work:121,nodes:30,pairs:6,completionMax:32us [02m00s] 8070 ab:aaa=1,abbb=aba finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [02m00s] from: 8070 ab:aaa=1,abbb=aba finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [02m00s] # 8071 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:14,pairs:1,completionMax:8us [02m00s] 8071 ab:aaa=1,abbb=abb infinite ab - - ab:aaa=1,bbb=bb [02m00s] # 8072 solved: rounds:4,rules:9,peak:14,longest:27,steps:13,word:19,work:13218,nodes:252,pairs:28,completionMax:674us [02m00s] 8072 ab:aaa=1,abbb=baa finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb,aaa=1 [02m00s] from: 8072 ab:aaa=1,abbb=baa finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 2441 ab:aaa=1,abbba=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 8073 solved: rounds:2,rules:4,peak:4,longest:15,steps:21,word:21,work:1403,nodes:42,pairs:4,completionMax:68us [02m00s] 8073 ab:aaa=1,abbb=bab infinite b/a - - ab:bbbbbbbbbbbbbbb=bbbbbbbb,bab=abbb,baabbb=aabbbbbbb,aaa=1 [02m00s] # 8074 solved: rounds:5,rules:5,peak:10,longest:24,steps:21,word:17,work:11872,nodes:158,pairs:42,completionMax:693us [02m00s] 8074 ab:aaa=1,abbb=bba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bb,babb=abbbbbbbbbbbbb,bba=abbb,baabb=aabbbbbbbbb,aaa=1 [02m00s] # 8075 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:9,nodes:10,pairs:0,completionMax:5us [02m00s] 8075 ab:aaa=1,abbb=bbb infinite ab - - ab:aaa=1,abbb=bbb [02m00s] # 8076 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:302,nodes:16,pairs:9,completionMax:34us [02m00s] 8076 ab:aaa=1,baab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [02m00s] from: 8076 ab:aaa=1,baab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [02m00s] # 8077 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:3,completionMax:11us [02m00s] 8077 ab:aaa=1,baab=aab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [02m00s] from: 8077 ab:aaa=1,baab=aab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [02m00s] # 8078 solved: rounds:5,rules:6,peak:8,longest:8,steps:8,word:6,work:1944,nodes:40,pairs:16,completionMax:123us [02m00s] 8078 ab:aaa=1,baab=aba finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=ababbb,baba=aabbb,aaa=1 [02m00s] # 8079 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:1,work:167,nodes:18,pairs:4,completionMax:13us [02m00s] 8079 ab:aaa=1,baab=abb infinite reversed:a/b - - ab:aaa=1,baab=abb,babb=aabbb [02m00s] # 8080 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:6us [02m00s] 8080 ab:aaa=1,baab=bab infinite ab - - ab:aaa=1,baab=bab [02m00s] # 8081 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:1us [02m00s] 8081 ab:aaa=1,baab=bbb infinite ab - - ab:aaa=1,baab=bbb [02m00s] # 8082 solved: rounds:5,rules:2,peak:4,longest:9,steps:4,word:5,work:231,nodes:18,pairs:10,completionMax:42us [02m00s] 8082 ab:aaa=1,babb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [02m00s] from: 8082 ab:aaa=1,babb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [02m00s] # 8083 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:119,nodes:16,pairs:3,completionMax:18us [02m00s] 8083 ab:aaa=1,babb=aab infinite ab - - ab:aaa=1,babb=aab,babab=b,babaab=ab [02m00s] from: 8083 ab:aaa=1,babb=aab infinite to: 2437 ab:aaa=1,ababb=b infinite a=a,b=b [02m00s] # 8084 solved: rounds:5,rules:30,peak:41,longest:18,steps:20,word:13,work:284798,nodes:290,pairs:632,completionMax:13695us [02m00s] 8084 ab:aaa=1,babb=aba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aba=babb,baabbbbbb=baa,babbba=abbabb,bbbbbabba=abbbabbbb,aaa=1,aabba=babbbbbabbbb,aabbbba=bbbabbbbabbbbb,aabbbbba=bbaabbbbb,abbaa=bbbbbab,abbbabbbba=bbbbab,abbbabbbbba=bbbbabbabbbb,abbbbaa=bbbbbaab,abbbbbabbbba=bbbbbabbbbbab,babbabba=abbabbbbbabbbb,babbabbbba=abbbbabbbbabbbbb,babbabbbbba=abbbaabbbbb,babbbbbabbbbba=aabbbabb,bbaabbba=abbbbbabbbbbab,bbbabbbbabbbbba=abbbbbaab,bbbabbbbbaa=abbbbabbbbbabbbbb,bbbbabbbbabbbba=abbbabbab,aabbbaa=babbbbabbbbbab,aabbbabba=bbbabbbbabbabbbb,abbabbbbabba=bbabbbbbaabbb,abbabbbbabbbbba=bbabbbbabbabbbbb,abbabbbbbaa=bbabbbbabbbbbabbbb,abbbbabbbbabba=bbabbbbabbbbabb [02m00s] # 8085 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:220,nodes:18,pairs:3,completionMax:22us [02m00s] 8085 ab:aaa=1,babb=abb infinite ab - - ab:aaa=1,bbb=bb,babb=abb,baabb=aabb [02m00s] # 8086 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:2,work:97,nodes:18,pairs:6,completionMax:28us [02m00s] 8086 ab:aaa=1,babb=baa finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [02m00s] from: 8086 ab:aaa=1,babb=baa finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [02m00s] # 8087 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:3us [02m00s] 8087 ab:aaa=1,babb=bab infinite ab - - ab:aaa=1,babb=bab [02m00s] # 8088 solved: rounds:2,rules:4,peak:4,longest:10,steps:10,word:6,work:345,nodes:36,pairs:2,completionMax:39us [02m00s] 8088 ab:aaa=1,babb=bba infinite b/a - - ab:bbbbbbbbbb=bbb,bba=babb,aaa=1,babababb=bb [02m00s] # 8089 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:3us [02m00s] 8089 ab:aaa=1,babb=bbb infinite ab - - ab:aaa=1,babb=bbb [02m00s] # 8090 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:3,nodes:12,pairs:0,completionMax:5us [02m00s] 8090 ab:aaa=1,bbbb=aaa infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [02m00s] from: 8090 ab:aaa=1,bbbb=aaa infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [02m00s] # 8091 solved: rounds:1,rules:3,peak:4,longest:10,steps:2,word:5,work:75,nodes:24,pairs:2,completionMax:16us [02m00s] 8091 ab:aaa=1,bbbb=aab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [02m00s] from: 8091 ab:aaa=1,bbbb=aab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [02m00s] # 8092 solved: rounds:6,rules:10,peak:18,longest:100,steps:58,word:172,work:649098,nodes:630,pairs:111,completionMax:49784us [02m00s] 8092 ab:aaa=1,bbbb=aba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbba=abbbbb,aab=babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aba=bbbb,abba=bbbbabbbb,baa=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbbabbbbbbbbb,bbbbabbbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [02m00s] # 8093 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:61,nodes:22,pairs:1,completionMax:13us [02m00s] 8093 ab:aaa=1,bbbb=abb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbb,aaa=1 [02m00s] # 8094 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:9,nodes:10,pairs:0,completionMax:4us [02m00s] 8094 ab:aaa=1,bbbb=bab infinite b/a - - ab:bab=bbbb,aaa=1 [02m00s] # 8095 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:48,nodes:12,pairs:0,completionMax:8us [02m00s] 8095 ab:aaa=1,bbbb=bbb infinite ab - - ab:aaa=1,bbbb=bbb [02m00s] # 8096 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:0,work:109,nodes:8,pairs:6,completionMax:17us [02m00s] 8096 ab:aab=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8096 ab:aab=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8097 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:9,nodes:8,pairs:2,completionMax:7us [02m00s] 8097 ab:aab=1,aaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8097 ab:aab=1,aaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8098 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:91,nodes:12,pairs:6,completionMax:33us [02m00s] 8098 ab:aab=1,aaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8098 ab:aab=1,aaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8099 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:4,work:16,nodes:14,pairs:3,completionMax:13us [02m00s] 8099 ab:aab=1,aaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8099 ab:aab=1,aaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8100 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:97,nodes:16,pairs:6,completionMax:19us [02m00s] 8100 ab:aab=1,aaaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8100 ab:aab=1,aaaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8101 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:4,work:151,nodes:24,pairs:15,completionMax:47us [02m00s] 8101 ab:aab=1,aaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8101 ab:aab=1,aaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8102 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:4,work:143,nodes:18,pairs:11,completionMax:40us [02m00s] 8102 ab:aab=1,aaaa=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8102 ab:aab=1,aaaa=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8103 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:7,work:138,nodes:24,pairs:8,completionMax:35us [02m00s] 8103 ab:aab=1,aaaa=bbb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 8103 ab:aab=1,aaaa=bbb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 8104 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:6,pairs:4,completionMax:14us [02m00s] 8104 ab:aab=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8104 ab:aab=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8105 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:4us [02m00s] 8105 ab:aab=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8105 ab:aab=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8106 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:6,completionMax:17us [02m00s] 8106 ab:aab=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8106 ab:aab=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8107 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:14,nodes:8,pairs:3,completionMax:10us [02m00s] 8107 ab:aab=1,aaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8107 ab:aab=1,aaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8108 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:92,nodes:10,pairs:12,completionMax:24us [02m00s] 8108 ab:aab=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8108 ab:aab=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8109 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:37,nodes:12,pairs:7,completionMax:18us [02m00s] 8109 ab:aab=1,aaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8109 ab:aab=1,aaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8110 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:80,nodes:12,pairs:10,completionMax:31us [02m00s] 8110 ab:aab=1,aaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8110 ab:aab=1,aaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8111 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:102,nodes:16,pairs:8,completionMax:31us [02m00s] 8111 ab:aab=1,aaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8111 ab:aab=1,aaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8112 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:6,pairs:4,completionMax:15us [02m00s] 8112 ab:aab=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8112 ab:aab=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8113 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:2,completionMax:3us [02m00s] 8113 ab:aab=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8113 ab:aab=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8114 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:41,nodes:8,pairs:6,completionMax:18us [02m00s] 8114 ab:aab=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8114 ab:aab=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8115 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:13,nodes:8,pairs:3,completionMax:11us [02m00s] 8115 ab:aab=1,aaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8115 ab:aab=1,aaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8116 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:91,nodes:10,pairs:12,completionMax:34us [02m00s] 8116 ab:aab=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8116 ab:aab=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8117 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:36,nodes:12,pairs:7,completionMax:20us [02m00s] 8117 ab:aab=1,aaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8117 ab:aab=1,aaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8118 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:79,nodes:12,pairs:10,completionMax:33us [02m00s] 8118 ab:aab=1,aaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8118 ab:aab=1,aaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8119 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:101,nodes:16,pairs:8,completionMax:28us [02m00s] 8119 ab:aab=1,aaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8119 ab:aab=1,aaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8120 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:10,pairs:1,completionMax:6us [02m00s] 8120 ab:aab=1,aabb=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8120 ab:aab=1,aabb=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8121 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:5us [02m00s] 8121 ab:aab=1,aabb=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8121 ab:aab=1,aabb=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8122 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:50,nodes:10,pairs:10,completionMax:22us [02m00s] 8122 ab:aab=1,aabb=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8122 ab:aab=1,aabb=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8123 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:4,completionMax:10us [02m00s] 8123 ab:aab=1,aabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8123 ab:aab=1,aabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8124 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:59,nodes:10,pairs:6,completionMax:19us [02m00s] 8124 ab:aab=1,aabb=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8124 ab:aab=1,aabb=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8125 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:10,pairs:3,completionMax:7us [02m00s] 8125 ab:aab=1,aabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8125 ab:aab=1,aabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8126 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:53,nodes:10,pairs:8,completionMax:19us [02m00s] 8126 ab:aab=1,aabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8126 ab:aab=1,aabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8127 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:28,nodes:10,pairs:4,completionMax:13us [02m00s] 8127 ab:aab=1,aabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8127 ab:aab=1,aabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8128 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:112,nodes:12,pairs:10,completionMax:26us [02m00s] 8128 ab:aab=1,abaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8128 ab:aab=1,abaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8129 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:108,nodes:12,pairs:16,completionMax:29us [02m00s] 8129 ab:aab=1,abaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8129 ab:aab=1,abaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8130 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:0,work:208,nodes:10,pairs:16,completionMax:27us [02m00s] 8130 ab:aab=1,abaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8130 ab:aab=1,abaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8131 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:15,nodes:8,pairs:3,completionMax:7us [02m00s] 8131 ab:aab=1,abaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8131 ab:aab=1,abaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8132 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:140,nodes:14,pairs:15,completionMax:28us [02m00s] 8132 ab:aab=1,abaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8132 ab:aab=1,abaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8133 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:76,nodes:12,pairs:8,completionMax:23us [02m00s] 8133 ab:aab=1,abaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8133 ab:aab=1,abaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8134 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:104,nodes:12,pairs:10,completionMax:26us [02m00s] 8134 ab:aab=1,abaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8134 ab:aab=1,abaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8135 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:4,work:270,nodes:18,pairs:19,completionMax:54us [02m00s] 8135 ab:aab=1,abaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8135 ab:aab=1,abaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8136 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:2,work:139,nodes:18,pairs:7,completionMax:23us [02m00s] 8136 ab:aab=1,abab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8136 ab:aab=1,abab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8137 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:10,pairs:4,completionMax:10us [02m00s] 8137 ab:aab=1,abab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8137 ab:aab=1,abab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8138 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:63,nodes:10,pairs:7,completionMax:22us [02m00s] 8138 ab:aab=1,abab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8138 ab:aab=1,abab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8139 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:10,pairs:4,completionMax:9us [02m00s] 8139 ab:aab=1,abab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8139 ab:aab=1,abab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8140 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:412,nodes:16,pairs:18,completionMax:49us [02m00s] 8140 ab:aab=1,abab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8140 ab:aab=1,abab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8141 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:77,nodes:14,pairs:9,completionMax:14us [02m00s] 8141 ab:aab=1,abab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8141 ab:aab=1,abab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8142 solved: rounds:2,rules:2,peak:9,longest:5,steps:7,word:0,work:281,nodes:16,pairs:14,completionMax:42us [02m00s] 8142 ab:aab=1,abab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8142 ab:aab=1,abab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8143 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:1,work:215,nodes:16,pairs:14,completionMax:42us [02m00s] 8143 ab:aab=1,abab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8143 ab:aab=1,abab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8144 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:114,nodes:14,pairs:11,completionMax:34us [02m00s] 8144 ab:aab=1,abba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8144 ab:aab=1,abba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8145 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:13,completionMax:20us [02m00s] 8145 ab:aab=1,abba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8145 ab:aab=1,abba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8146 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:103,nodes:12,pairs:8,completionMax:20us [02m00s] 8146 ab:aab=1,abba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8146 ab:aab=1,abba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8147 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:127,nodes:12,pairs:9,completionMax:19us [02m00s] 8147 ab:aab=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8147 ab:aab=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8148 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:299,nodes:14,pairs:20,completionMax:34us [02m00s] 8148 ab:aab=1,abba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8148 ab:aab=1,abba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8149 solved: rounds:2,rules:2,peak:9,longest:4,steps:5,word:0,work:449,nodes:20,pairs:17,completionMax:40us [02m00s] 8149 ab:aab=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8149 ab:aab=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8150 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:235,nodes:14,pairs:16,completionMax:31us [02m00s] 8150 ab:aab=1,abba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8150 ab:aab=1,abba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8151 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:1,work:142,nodes:12,pairs:13,completionMax:22us [02m00s] 8151 ab:aab=1,abba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8151 ab:aab=1,abba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8152 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:5,work:119,nodes:20,pairs:7,completionMax:37us [02m00s] 8152 ab:aab=1,abbb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8152 ab:aab=1,abbb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8153 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:33,nodes:12,pairs:5,completionMax:17us [02m00s] 8153 ab:aab=1,abbb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8153 ab:aab=1,abbb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8154 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:40,nodes:12,pairs:5,completionMax:13us [02m00s] 8154 ab:aab=1,abbb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8154 ab:aab=1,abbb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8155 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:12,pairs:3,completionMax:17us [02m00s] 8155 ab:aab=1,abbb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8155 ab:aab=1,abbb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8156 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:2,work:83,nodes:12,pairs:6,completionMax:22us [02m00s] 8156 ab:aab=1,abbb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8156 ab:aab=1,abbb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8157 solved: rounds:4,rules:2,peak:6,longest:4,steps:3,word:0,work:378,nodes:20,pairs:17,completionMax:38us [02m00s] 8157 ab:aab=1,abbb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8157 ab:aab=1,abbb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8158 solved: rounds:4,rules:2,peak:12,longest:5,steps:4,word:0,work:1174,nodes:20,pairs:46,completionMax:127us [02m00s] 8158 ab:aab=1,abbb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8158 ab:aab=1,abbb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8159 solved: rounds:4,rules:2,peak:4,longest:4,steps:2,word:0,work:95,nodes:14,pairs:6,completionMax:15us [02m00s] 8159 ab:aab=1,abbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8159 ab:aab=1,abbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8160 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:168,nodes:16,pairs:9,completionMax:25us [02m00s] 8160 ab:aab=1,baaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8160 ab:aab=1,baaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8161 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:123,nodes:12,pairs:14,completionMax:26us [02m00s] 8161 ab:aab=1,baaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8161 ab:aab=1,baaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8162 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:232,nodes:16,pairs:19,completionMax:32us [02m00s] 8162 ab:aab=1,baaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8162 ab:aab=1,baaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8163 solved: rounds:3,rules:2,peak:8,longest:7,steps:2,word:2,work:453,nodes:26,pairs:22,completionMax:81us [02m00s] 8163 ab:aab=1,baaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8163 ab:aab=1,baaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8164 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:118,nodes:12,pairs:9,completionMax:20us [02m00s] 8164 ab:aab=1,baaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8164 ab:aab=1,baaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8165 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:1,work:113,nodes:20,pairs:10,completionMax:34us [02m00s] 8165 ab:aab=1,baaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8165 ab:aab=1,baaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8166 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:1,work:101,nodes:12,pairs:10,completionMax:33us [02m00s] 8166 ab:aab=1,baaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8166 ab:aab=1,baaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8167 solved: rounds:3,rules:2,peak:6,longest:11,steps:2,word:4,work:449,nodes:26,pairs:13,completionMax:51us [02m00s] 8167 ab:aab=1,baaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8167 ab:aab=1,baaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8168 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:4us [02m00s] 8168 ab:aab=1,baab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8168 ab:aab=1,baab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8169 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:4us [02m00s] 8169 ab:aab=1,baab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8169 ab:aab=1,baab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8170 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:51,nodes:10,pairs:10,completionMax:17us [02m00s] 8170 ab:aab=1,baab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8170 ab:aab=1,baab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8171 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:4,completionMax:8us [02m00s] 8171 ab:aab=1,baab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8171 ab:aab=1,baab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8172 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:60,nodes:10,pairs:6,completionMax:21us [02m00s] 8172 ab:aab=1,baab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8172 ab:aab=1,baab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8173 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:8us [02m00s] 8173 ab:aab=1,baab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8173 ab:aab=1,baab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8174 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:54,nodes:10,pairs:8,completionMax:19us [02m00s] 8174 ab:aab=1,baab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8174 ab:aab=1,baab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8175 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:29,nodes:10,pairs:4,completionMax:19us [02m00s] 8175 ab:aab=1,baab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8175 ab:aab=1,baab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8176 solved: rounds:3,rules:2,peak:7,longest:6,steps:1,word:2,work:310,nodes:22,pairs:26,completionMax:60us [02m00s] 8176 ab:aab=1,baba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8176 ab:aab=1,baba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8177 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:95,nodes:14,pairs:12,completionMax:19us [02m00s] 8177 ab:aab=1,baba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8177 ab:aab=1,baba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8178 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:62,nodes:12,pairs:7,completionMax:16us [02m00s] 8178 ab:aab=1,baba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8178 ab:aab=1,baba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8179 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:391,nodes:20,pairs:27,completionMax:58us [02m00s] 8179 ab:aab=1,baba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8179 ab:aab=1,baba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8180 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:183,nodes:16,pairs:19,completionMax:39us [02m00s] 8180 ab:aab=1,baba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8180 ab:aab=1,baba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8181 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:191,nodes:14,pairs:11,completionMax:30us [02m00s] 8181 ab:aab=1,baba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8181 ab:aab=1,baba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8182 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:164,nodes:14,pairs:21,completionMax:42us [02m00s] 8182 ab:aab=1,baba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8182 ab:aab=1,baba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8183 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:310,nodes:20,pairs:14,completionMax:45us [02m00s] 8183 ab:aab=1,baba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8183 ab:aab=1,baba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8184 solved: rounds:3,rules:2,peak:6,longest:11,steps:3,word:5,work:607,nodes:34,pairs:17,completionMax:82us [02m00s] 8184 ab:aab=1,babb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8184 ab:aab=1,babb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8185 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:99,nodes:16,pairs:10,completionMax:27us [02m00s] 8185 ab:aab=1,babb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8185 ab:aab=1,babb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8186 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:241,nodes:24,pairs:15,completionMax:51us [02m00s] 8186 ab:aab=1,babb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8186 ab:aab=1,babb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8187 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:0,work:65,nodes:12,pairs:6,completionMax:12us [02m00s] 8187 ab:aab=1,babb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8187 ab:aab=1,babb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8188 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:201,nodes:18,pairs:11,completionMax:33us [02m00s] 8188 ab:aab=1,babb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8188 ab:aab=1,babb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8189 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:14,pairs:3,completionMax:18us [02m00s] 8189 ab:aab=1,babb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8189 ab:aab=1,babb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8190 solved: rounds:4,rules:2,peak:11,longest:5,steps:4,word:0,work:1042,nodes:22,pairs:40,completionMax:141us [02m00s] 8190 ab:aab=1,babb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8190 ab:aab=1,babb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8191 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:50,nodes:14,pairs:4,completionMax:16us [02m00s] 8191 ab:aab=1,babb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8191 ab:aab=1,babb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8192 solved: rounds:3,rules:2,peak:5,longest:7,steps:1,word:2,work:167,nodes:18,pairs:14,completionMax:43us [02m00s] 8192 ab:aab=1,bbaa=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8192 ab:aab=1,bbaa=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8193 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:129,nodes:14,pairs:9,completionMax:31us [02m00s] 8193 ab:aab=1,bbaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8193 ab:aab=1,bbaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8194 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:215,nodes:18,pairs:22,completionMax:48us [02m00s] 8194 ab:aab=1,bbaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8194 ab:aab=1,bbaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8195 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:572,nodes:20,pairs:32,completionMax:82us [02m00s] 8195 ab:aab=1,bbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8195 ab:aab=1,bbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8196 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:105,nodes:14,pairs:10,completionMax:38us [02m00s] 8196 ab:aab=1,bbaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8196 ab:aab=1,bbaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8197 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:778,nodes:18,pairs:27,completionMax:75us [02m00s] 8197 ab:aab=1,bbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8197 ab:aab=1,bbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8198 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:215,nodes:14,pairs:17,completionMax:42us [02m00s] 8198 ab:aab=1,bbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8198 ab:aab=1,bbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8199 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:1,work:291,nodes:24,pairs:12,completionMax:35us [02m00s] 8199 ab:aab=1,bbaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8199 ab:aab=1,bbaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8200 solved: rounds:3,rules:2,peak:7,longest:10,steps:3,word:10,work:510,nodes:32,pairs:21,completionMax:57us [02m00s] 8200 ab:aab=1,bbab=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8200 ab:aab=1,bbab=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8201 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:234,nodes:16,pairs:18,completionMax:44us [02m00s] 8201 ab:aab=1,bbab=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8201 ab:aab=1,bbab=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8202 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:2,work:271,nodes:16,pairs:18,completionMax:42us [02m00s] 8202 ab:aab=1,bbab=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8202 ab:aab=1,bbab=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8203 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:160,nodes:14,pairs:12,completionMax:26us [02m00s] 8203 ab:aab=1,bbab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8203 ab:aab=1,bbab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8204 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:2,work:273,nodes:20,pairs:16,completionMax:49us [02m00s] 8204 ab:aab=1,bbab=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8204 ab:aab=1,bbab=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8205 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:68,nodes:14,pairs:6,completionMax:13us [02m00s] 8205 ab:aab=1,bbab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8205 ab:aab=1,bbab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8206 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:257,nodes:14,pairs:18,completionMax:51us [02m00s] 8206 ab:aab=1,bbab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8206 ab:aab=1,bbab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8207 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:48,nodes:14,pairs:4,completionMax:14us [02m00s] 8207 ab:aab=1,bbab=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8207 ab:aab=1,bbab=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8208 solved: rounds:2,rules:2,peak:6,longest:9,steps:3,word:5,work:263,nodes:22,pairs:12,completionMax:54us [02m00s] 8208 ab:aab=1,bbba=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8208 ab:aab=1,bbba=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8209 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:139,nodes:14,pairs:11,completionMax:23us [02m00s] 8209 ab:aab=1,bbba=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8209 ab:aab=1,bbba=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8210 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:2,work:199,nodes:14,pairs:18,completionMax:53us [02m00s] 8210 ab:aab=1,bbba=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8210 ab:aab=1,bbba=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8211 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:142,nodes:12,pairs:15,completionMax:30us [02m00s] 8211 ab:aab=1,bbba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8211 ab:aab=1,bbba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8212 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:2,work:184,nodes:14,pairs:19,completionMax:47us [02m00s] 8212 ab:aab=1,bbba=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8212 ab:aab=1,bbba=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8213 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:235,nodes:18,pairs:18,completionMax:41us [02m00s] 8213 ab:aab=1,bbba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8213 ab:aab=1,bbba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8214 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:168,nodes:12,pairs:10,completionMax:55us [02m00s] 8214 ab:aab=1,bbba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8214 ab:aab=1,bbba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8215 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:291,nodes:12,pairs:10,completionMax:36us [02m00s] 8215 ab:aab=1,bbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8215 ab:aab=1,bbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8216 solved: rounds:4,rules:2,peak:5,longest:11,steps:6,word:8,work:369,nodes:22,pairs:13,completionMax:55us [02m00s] 8216 ab:aab=1,bbbb=aaa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 8216 ab:aab=1,bbbb=aaa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 8217 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:101,nodes:16,pairs:13,completionMax:32us [02m00s] 8217 ab:aab=1,bbbb=aab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8217 ab:aab=1,bbbb=aab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8218 solved: rounds:4,rules:2,peak:8,longest:8,steps:4,word:5,work:470,nodes:18,pairs:25,completionMax:64us [02m00s] 8218 ab:aab=1,bbbb=aba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8218 ab:aab=1,bbbb=aba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8219 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:2,work:264,nodes:16,pairs:22,completionMax:59us [02m00s] 8219 ab:aab=1,bbbb=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8219 ab:aab=1,bbbb=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8220 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:5,work:416,nodes:24,pairs:23,completionMax:54us [02m00s] 8220 ab:aab=1,bbbb=baa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8220 ab:aab=1,bbbb=baa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8221 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:2,work:428,nodes:20,pairs:29,completionMax:74us [02m00s] 8221 ab:aab=1,bbbb=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8221 ab:aab=1,bbbb=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8222 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:2,work:691,nodes:14,pairs:33,completionMax:90us [02m00s] 8222 ab:aab=1,bbbb=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8222 ab:aab=1,bbbb=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8223 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:157,nodes:12,pairs:4,completionMax:24us [02m00s] 8223 ab:aab=1,bbbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8223 ab:aab=1,bbbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8224 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:188,nodes:12,pairs:8,completionMax:24us [02m00s] 8224 ab:aba=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8224 ab:aba=1,aaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8225 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:140,nodes:14,pairs:7,completionMax:33us [02m00s] 8225 ab:aba=1,aaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8225 ab:aba=1,aaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8226 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:62,nodes:12,pairs:7,completionMax:19us [02m00s] 8226 ab:aba=1,aaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8226 ab:aba=1,aaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8227 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:4,work:91,nodes:16,pairs:4,completionMax:21us [02m00s] 8227 ab:aba=1,aaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8227 ab:aba=1,aaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8228 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:4,work:33,nodes:14,pairs:7,completionMax:18us [02m00s] 8228 ab:aba=1,aaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8228 ab:aba=1,aaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8229 solved: rounds:5,rules:2,peak:4,longest:10,steps:8,word:7,work:249,nodes:20,pairs:10,completionMax:40us [02m00s] 8229 ab:aba=1,aaaa=bbb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [02m00s] from: 8229 ab:aba=1,aaaa=bbb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [02m00s] # 8230 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:160,nodes:12,pairs:10,completionMax:27us [02m00s] 8230 ab:aba=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8230 ab:aba=1,aaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8231 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:78,nodes:12,pairs:9,completionMax:19us [02m00s] 8231 ab:aba=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8231 ab:aba=1,aaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8232 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:70,nodes:12,pairs:12,completionMax:21us [02m00s] 8232 ab:aba=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8232 ab:aba=1,aaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8233 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:1,work:114,nodes:8,pairs:8,completionMax:27us [02m00s] 8233 ab:aba=1,aaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8233 ab:aba=1,aaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8234 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:114,nodes:12,pairs:9,completionMax:24us [02m00s] 8234 ab:aba=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8234 ab:aba=1,aaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8235 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:1,work:112,nodes:18,pairs:7,completionMax:29us [02m00s] 8235 ab:aba=1,aaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8235 ab:aba=1,aaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8236 solved: rounds:3,rules:2,peak:5,longest:7,steps:8,word:10,work:440,nodes:14,pairs:9,completionMax:44us [02m00s] 8236 ab:aba=1,aaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8236 ab:aba=1,aaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8237 solved: rounds:5,rules:2,peak:4,longest:7,steps:7,word:4,work:268,nodes:14,pairs:10,completionMax:52us [02m00s] 8237 ab:aba=1,aaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8237 ab:aba=1,aaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8238 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:54,nodes:10,pairs:8,completionMax:23us [02m00s] 8238 ab:aba=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8238 ab:aba=1,aaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8239 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:54,nodes:10,pairs:11,completionMax:30us [02m00s] 8239 ab:aba=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8239 ab:aba=1,aaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8240 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:2,completionMax:6us [02m00s] 8240 ab:aba=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8240 ab:aba=1,aaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8241 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:16us [02m00s] 8241 ab:aba=1,aaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8241 ab:aba=1,aaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8242 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:53,nodes:10,pairs:10,completionMax:16us [02m00s] 8242 ab:aba=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8242 ab:aba=1,aaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8243 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:25,nodes:10,pairs:7,completionMax:14us [02m00s] 8243 ab:aba=1,aaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8243 ab:aba=1,aaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8244 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:10,pairs:4,completionMax:17us [02m00s] 8244 ab:aba=1,aaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8244 ab:aba=1,aaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8245 solved: rounds:5,rules:2,peak:4,longest:7,steps:4,word:4,work:125,nodes:14,pairs:10,completionMax:31us [02m00s] 8245 ab:aba=1,aaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [02m00s] from: 8245 ab:aba=1,aaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [02m00s] # 8246 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:4,work:149,nodes:14,pairs:5,completionMax:28us [02m00s] 8246 ab:aba=1,aabb=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8246 ab:aba=1,aabb=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8247 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:8,completionMax:30us [02m00s] 8247 ab:aba=1,aabb=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8247 ab:aba=1,aabb=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8248 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:9,completionMax:11us [02m00s] 8248 ab:aba=1,aabb=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8248 ab:aba=1,aabb=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8249 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:105,nodes:12,pairs:13,completionMax:18us [02m00s] 8249 ab:aba=1,aabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8249 ab:aba=1,aabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8250 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:80,nodes:12,pairs:9,completionMax:12us [02m00s] 8250 ab:aba=1,aabb=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8250 ab:aba=1,aabb=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8251 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:113,nodes:12,pairs:13,completionMax:31us [02m00s] 8251 ab:aba=1,aabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8251 ab:aba=1,aabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8252 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:121,nodes:12,pairs:13,completionMax:25us [02m00s] 8252 ab:aba=1,aabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8252 ab:aba=1,aabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8253 solved: rounds:5,rules:2,peak:4,longest:4,steps:16,word:2,work:405,nodes:10,pairs:10,completionMax:35us [02m00s] 8253 ab:aba=1,aabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8253 ab:aba=1,aabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8254 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:2,work:6,nodes:10,pairs:1,completionMax:5us [02m00s] 8254 ab:aba=1,abab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8254 ab:aba=1,abab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8255 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:47,nodes:10,pairs:10,completionMax:14us [02m00s] 8255 ab:aba=1,abab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8255 ab:aba=1,abab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8256 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:1,completionMax:2us [02m00s] 8256 ab:aba=1,abab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8256 ab:aba=1,abab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8257 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:63,nodes:8,pairs:10,completionMax:15us [02m00s] 8257 ab:aba=1,abab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8257 ab:aba=1,abab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8258 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:46,nodes:10,pairs:10,completionMax:15us [02m00s] 8258 ab:aba=1,abab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8258 ab:aba=1,abab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8259 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:13,completionMax:15us [02m00s] 8259 ab:aba=1,abab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8259 ab:aba=1,abab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8260 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:57,nodes:10,pairs:7,completionMax:11us [02m00s] 8260 ab:aba=1,abab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8260 ab:aba=1,abab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8261 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:74,nodes:10,pairs:8,completionMax:18us [02m00s] 8261 ab:aba=1,abab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8261 ab:aba=1,abab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8262 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:4,work:155,nodes:14,pairs:6,completionMax:18us [02m00s] 8262 ab:aba=1,abba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8262 ab:aba=1,abba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8263 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:150,nodes:14,pairs:13,completionMax:23us [02m00s] 8263 ab:aba=1,abba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8263 ab:aba=1,abba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8264 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:101,nodes:10,pairs:11,completionMax:15us [02m00s] 8264 ab:aba=1,abba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8264 ab:aba=1,abba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8265 solved: rounds:3,rules:2,peak:5,longest:4,steps:6,word:0,work:284,nodes:12,pairs:13,completionMax:43us [02m00s] 8265 ab:aba=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8265 ab:aba=1,abba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8266 solved: rounds:5,rules:2,peak:6,longest:4,steps:5,word:0,work:321,nodes:14,pairs:19,completionMax:41us [02m00s] 8266 ab:aba=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8266 ab:aba=1,abba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8267 solved: rounds:5,rules:2,peak:4,longest:4,steps:14,word:2,work:293,nodes:10,pairs:10,completionMax:28us [02m00s] 8267 ab:aba=1,abba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8267 ab:aba=1,abba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8268 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:237,nodes:16,pairs:9,completionMax:31us [02m00s] 8268 ab:aba=1,abbb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8268 ab:aba=1,abbb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8269 solved: rounds:5,rules:2,peak:4,longest:5,steps:5,word:2,work:166,nodes:12,pairs:9,completionMax:24us [02m00s] 8269 ab:aba=1,abbb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8269 ab:aba=1,abbb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8270 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:4,work:348,nodes:22,pairs:13,completionMax:44us [02m00s] 8270 ab:aba=1,abbb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8270 ab:aba=1,abbb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8271 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:156,nodes:12,pairs:7,completionMax:22us [02m00s] 8271 ab:aba=1,abbb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8271 ab:aba=1,abbb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8272 solved: rounds:3,rules:2,peak:5,longest:16,steps:11,word:4,work:1325,nodes:38,pairs:12,completionMax:58us [02m00s] 8272 ab:aba=1,abbb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8272 ab:aba=1,abbb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8273 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:164,nodes:12,pairs:7,completionMax:17us [02m00s] 8273 ab:aba=1,abbb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8273 ab:aba=1,abbb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8274 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:151,nodes:12,pairs:9,completionMax:16us [02m00s] 8274 ab:aba=1,abbb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8274 ab:aba=1,abbb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8275 solved: rounds:5,rules:2,peak:5,longest:4,steps:4,word:0,work:391,nodes:16,pairs:13,completionMax:30us [02m00s] 8275 ab:aba=1,abbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8275 ab:aba=1,abbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8276 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:91,nodes:12,pairs:12,completionMax:28us [02m00s] 8276 ab:aba=1,baab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8276 ab:aba=1,baab=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8277 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:107,nodes:14,pairs:8,completionMax:29us [02m00s] 8277 ab:aba=1,baab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8277 ab:aba=1,baab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8278 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:52,nodes:12,pairs:12,completionMax:20us [02m00s] 8278 ab:aba=1,baab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8278 ab:aba=1,baab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8279 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:112,nodes:16,pairs:13,completionMax:25us [02m00s] 8279 ab:aba=1,baab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8279 ab:aba=1,baab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8280 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:10,completionMax:18us [02m00s] 8280 ab:aba=1,baab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8280 ab:aba=1,baab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8281 solved: rounds:5,rules:2,peak:4,longest:4,steps:7,word:1,work:164,nodes:10,pairs:9,completionMax:33us [02m00s] 8281 ab:aba=1,baab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [02m00s] from: 8281 ab:aba=1,baab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [02m00s] # 8282 solved: rounds:2,rules:2,peak:5,longest:8,steps:11,word:7,work:586,nodes:20,pairs:13,completionMax:57us [02m00s] 8282 ab:aba=1,babb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8282 ab:aba=1,babb=aaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8283 solved: rounds:3,rules:2,peak:5,longest:10,steps:13,word:4,work:524,nodes:24,pairs:13,completionMax:56us [02m00s] 8283 ab:aba=1,babb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8283 ab:aba=1,babb=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8284 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:87,nodes:12,pairs:10,completionMax:18us [02m00s] 8284 ab:aba=1,babb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8284 ab:aba=1,babb=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8285 solved: rounds:4,rules:2,peak:5,longest:4,steps:4,word:0,work:271,nodes:18,pairs:10,completionMax:36us [02m00s] 8285 ab:aba=1,babb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8285 ab:aba=1,babb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8286 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:85,nodes:12,pairs:5,completionMax:18us [02m00s] 8286 ab:aba=1,babb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8286 ab:aba=1,babb=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8287 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:107,nodes:12,pairs:6,completionMax:13us [02m00s] 8287 ab:aba=1,babb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8287 ab:aba=1,babb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8288 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:116,nodes:12,pairs:6,completionMax:19us [02m00s] 8288 ab:aba=1,babb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8288 ab:aba=1,babb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8289 solved: rounds:4,rules:2,peak:5,longest:4,steps:4,word:0,work:292,nodes:14,pairs:14,completionMax:52us [02m00s] 8289 ab:aba=1,babb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8289 ab:aba=1,babb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8290 solved: rounds:6,rules:2,peak:4,longest:11,steps:9,word:8,work:516,nodes:22,pairs:12,completionMax:60us [02m00s] 8290 ab:aba=1,bbbb=aaa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [02m00s] from: 8290 ab:aba=1,bbbb=aaa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [02m00s] # 8291 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:359,nodes:16,pairs:14,completionMax:45us [02m00s] 8291 ab:aba=1,bbbb=aab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8291 ab:aba=1,bbbb=aab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8292 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:233,nodes:16,pairs:11,completionMax:47us [02m00s] 8292 ab:aba=1,bbbb=aba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [02m00s] from: 8292 ab:aba=1,bbbb=aba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [02m00s] # 8293 solved: rounds:6,rules:2,peak:4,longest:5,steps:6,word:2,work:356,nodes:12,pairs:12,completionMax:44us [02m00s] 8293 ab:aba=1,bbbb=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8293 ab:aba=1,bbbb=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8294 solved: rounds:6,rules:2,peak:4,longest:5,steps:5,word:2,work:291,nodes:12,pairs:11,completionMax:40us [02m00s] 8294 ab:aba=1,bbbb=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [02m00s] from: 8294 ab:aba=1,bbbb=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [02m00s] # 8295 solved: rounds:6,rules:2,peak:4,longest:4,steps:4,word:0,work:235,nodes:12,pairs:6,completionMax:29us [02m00s] 8295 ab:aba=1,bbbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8295 ab:aba=1,bbbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8296 solved: rounds:0,rules:1,peak:2,longest:2,steps:6,word:0,work:20,nodes:4,pairs:0,completionMax:2us [02m00s] 8296 ab:aa=a,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [02m00s] from: 8296 ab:aa=a,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [02m00s] # 8297 solved: rounds:2,rules:2,peak:3,longest:2,steps:5,word:0,work:19,nodes:4,pairs:2,completionMax:5us [02m00s] 8297 ab:aa=a,aaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8297 ab:aa=a,aaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8298 solved: rounds:2,rules:2,peak:3,longest:3,steps:4,word:0,work:29,nodes:6,pairs:5,completionMax:8us [02m00s] 8298 ab:aa=a,aaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8298 ab:aa=a,aaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8299 solved: rounds:2,rules:2,peak:3,longest:3,steps:4,word:0,work:18,nodes:6,pairs:2,completionMax:5us [02m00s] 8299 ab:aa=a,aaaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8299 ab:aa=a,aaaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8300 solved: rounds:2,rules:2,peak:3,longest:3,steps:4,word:0,work:31,nodes:6,pairs:5,completionMax:7us [02m00s] 8300 ab:aa=a,aaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8300 ab:aa=a,aaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8301 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:22,nodes:8,pairs:3,completionMax:10us [02m00s] 8301 ab:aa=a,aaaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8301 ab:aa=a,aaaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8302 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:32,nodes:8,pairs:5,completionMax:7us [02m00s] 8302 ab:aa=a,aaaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8302 ab:aa=a,aaaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8303 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:17,nodes:8,pairs:2,completionMax:5us [02m00s] 8303 ab:aa=a,aaaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8303 ab:aa=a,aaaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8304 solved: rounds:2,rules:2,peak:3,longest:3,steps:4,word:0,work:33,nodes:6,pairs:5,completionMax:5us [02m00s] 8304 ab:aa=a,aaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8304 ab:aa=a,aaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8305 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:24,nodes:8,pairs:3,completionMax:6us [02m00s] 8305 ab:aa=a,aaabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8305 ab:aa=a,aaabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8306 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:49,nodes:10,pairs:7,completionMax:9us [02m00s] 8306 ab:aa=a,aaababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8306 ab:aa=a,aaababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8307 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:22,nodes:10,pairs:3,completionMax:14us [02m00s] 8307 ab:aa=a,aaababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8307 ab:aa=a,aaababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8308 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:35,nodes:8,pairs:5,completionMax:9us [02m00s] 8308 ab:aa=a,aaabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8308 ab:aa=a,aaabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8309 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:10,pairs:4,completionMax:9us [02m00s] 8309 ab:aa=a,aaabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8309 ab:aa=a,aaabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8310 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:35,nodes:10,pairs:5,completionMax:10us [02m00s] 8310 ab:aa=a,aaabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8310 ab:aa=a,aaabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8311 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:16,nodes:10,pairs:2,completionMax:7us [02m00s] 8311 ab:aa=a,aaabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8311 ab:aa=a,aaabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8312 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:26,nodes:8,pairs:3,completionMax:11us [02m00s] 8312 ab:aa=a,aabaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8312 ab:aa=a,aabaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8313 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:51,nodes:10,pairs:7,completionMax:14us [02m00s] 8313 ab:aa=a,aabaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8313 ab:aa=a,aabaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8314 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:24,nodes:10,pairs:3,completionMax:7us [02m00s] 8314 ab:aa=a,aabaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8314 ab:aa=a,aabaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8315 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:53,nodes:10,pairs:7,completionMax:8us [02m00s] 8315 ab:aa=a,aababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8315 ab:aa=a,aababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8316 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:33,nodes:12,pairs:4,completionMax:9us [02m00s] 8316 ab:aa=a,aababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8316 ab:aa=a,aababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8317 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:51,nodes:12,pairs:6,completionMax:9us [02m00s] 8317 ab:aa=a,aababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8317 ab:aa=a,aababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8318 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:22,nodes:12,pairs:3,completionMax:8us [02m00s] 8318 ab:aa=a,aababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8318 ab:aa=a,aababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8319 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:29,nodes:10,pairs:4,completionMax:14us [02m00s] 8319 ab:aa=a,aabbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8319 ab:aa=a,aabbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8320 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:55,nodes:12,pairs:6,completionMax:11us [02m00s] 8320 ab:aa=a,aabbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8320 ab:aa=a,aabbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8321 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:23,nodes:12,pairs:3,completionMax:8us [02m00s] 8321 ab:aa=a,aabbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8321 ab:aa=a,aabbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8322 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:39,nodes:10,pairs:5,completionMax:9us [02m00s] 8322 ab:aa=a,aabbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8322 ab:aa=a,aabbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8323 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:28,nodes:12,pairs:4,completionMax:9us [02m00s] 8323 ab:aa=a,aabbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8323 ab:aa=a,aabbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8324 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:38,nodes:12,pairs:5,completionMax:10us [02m00s] 8324 ab:aa=a,aabbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8324 ab:aa=a,aabbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8325 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:15,nodes:12,pairs:2,completionMax:13us [02m00s] 8325 ab:aa=a,aabbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8325 ab:aa=a,aabbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8326 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:28,nodes:8,pairs:3,completionMax:10us [02m00s] 8326 ab:aa=a,abaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8326 ab:aa=a,abaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8327 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:53,nodes:10,pairs:7,completionMax:12us [02m00s] 8327 ab:aa=a,abaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8327 ab:aa=a,abaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8328 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:10,pairs:3,completionMax:7us [02m00s] 8328 ab:aa=a,abaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8328 ab:aa=a,abaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8329 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:35,nodes:12,pairs:4,completionMax:17us [02m00s] 8329 ab:aa=a,abaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8329 ab:aa=a,abaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8330 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:53,nodes:12,pairs:6,completionMax:13us [02m00s] 8330 ab:aa=a,abaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8330 ab:aa=a,abaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8331 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:24,nodes:12,pairs:3,completionMax:7us [02m00s] 8331 ab:aa=a,abaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8331 ab:aa=a,abaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8332 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:37,nodes:12,pairs:4,completionMax:7us [02m00s] 8332 ab:aa=a,ababaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8332 ab:aa=a,ababaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8333 solved: rounds:2,rules:2,peak:3,longest:7,steps:3,word:0,work:87,nodes:14,pairs:9,completionMax:11us [02m00s] 8333 ab:aa=a,abababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8333 ab:aa=a,abababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8334 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:34,nodes:14,pairs:4,completionMax:8us [02m00s] 8334 ab:aa=a,abababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8334 ab:aa=a,abababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8335 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:43,nodes:14,pairs:5,completionMax:8us [02m00s] 8335 ab:aa=a,ababbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8335 ab:aa=a,ababbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8336 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:56,nodes:14,pairs:6,completionMax:8us [02m00s] 8336 ab:aa=a,ababbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8336 ab:aa=a,ababbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8337 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:22,nodes:14,pairs:3,completionMax:16us [02m00s] 8337 ab:aa=a,ababbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8337 ab:aa=a,ababbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8338 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:32,nodes:10,pairs:4,completionMax:7us [02m00s] 8338 ab:aa=a,abbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8338 ab:aa=a,abbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8339 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:12,pairs:3,completionMax:15us [02m00s] 8339 ab:aa=a,abbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8339 ab:aa=a,abbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8340 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:47,nodes:14,pairs:5,completionMax:16us [02m00s] 8340 ab:aa=a,abbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8340 ab:aa=a,abbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8341 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:64,nodes:14,pairs:7,completionMax:30us [02m00s] 8341 ab:aa=a,abbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8341 ab:aa=a,abbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8342 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:23,nodes:14,pairs:3,completionMax:11us [02m00s] 8342 ab:aa=a,abbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8342 ab:aa=a,abbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8343 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:32,nodes:12,pairs:4,completionMax:19us [02m00s] 8343 ab:aa=a,abbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8343 ab:aa=a,abbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8344 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:27,nodes:14,pairs:4,completionMax:12us [02m00s] 8344 ab:aa=a,abbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8344 ab:aa=a,abbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8345 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:30,nodes:14,pairs:4,completionMax:10us [02m00s] 8345 ab:aa=a,abbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8345 ab:aa=a,abbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8346 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:41,nodes:14,pairs:5,completionMax:11us [02m00s] 8346 ab:aa=a,abbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8346 ab:aa=a,abbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8347 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:2,completionMax:8us [02m00s] 8347 ab:aa=a,abbbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [02m00s] from: 8347 ab:aa=a,abbbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [02m00s] # 8348 solved: rounds:3,rules:2,peak:4,longest:3,steps:4,word:0,work:45,nodes:8,pairs:7,completionMax:19us [02m00s] 8348 ab:aa=a,baaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 8348 ab:aa=a,baaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 8349 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:222,nodes:16,pairs:14,completionMax:39us [02m00s] 8349 ab:aa=a,baaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8349 ab:aa=a,baaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8350 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:102,nodes:12,pairs:9,completionMax:19us [02m00s] 8350 ab:aa=a,baaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8350 ab:aa=a,baaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8351 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:480,nodes:24,pairs:21,completionMax:64us [02m00s] 8351 ab:aa=a,baaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8351 ab:aa=a,baaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8352 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:104,nodes:12,pairs:9,completionMax:18us [02m00s] 8352 ab:aa=a,baabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 8352 ab:aa=a,baabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 8353 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:388,nodes:22,pairs:21,completionMax:57us [02m00s] 8353 ab:aa=a,baababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8353 ab:aa=a,baababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8354 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:549,nodes:28,pairs:16,completionMax:61us [02m00s] 8354 ab:aa=a,baabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8354 ab:aa=a,baabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8355 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:873,nodes:32,pairs:26,completionMax:95us [02m00s] 8355 ab:aa=a,baabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8355 ab:aa=a,baabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8356 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:390,nodes:22,pairs:21,completionMax:68us [02m00s] 8356 ab:aa=a,babaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8356 ab:aa=a,babaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8357 solved: rounds:3,rules:2,peak:4,longest:7,steps:9,word:0,work:262,nodes:16,pairs:11,completionMax:32us [02m00s] 8357 ab:aa=a,bababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8357 ab:aa=a,bababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8358 solved: rounds:3,rules:2,peak:7,longest:8,steps:7,word:0,work:1020,nodes:36,pairs:24,completionMax:94us [02m00s] 8358 ab:aa=a,bababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8358 ab:aa=a,bababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8359 solved: rounds:3,rules:2,peak:6,longest:7,steps:10,word:0,work:465,nodes:24,pairs:20,completionMax:59us [02m00s] 8359 ab:aa=a,babbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8359 ab:aa=a,babbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8360 solved: rounds:3,rules:2,peak:10,longest:7,steps:5,word:0,work:2072,nodes:48,pairs:87,completionMax:231us [02m00s] 8360 ab:aa=a,babbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8360 ab:aa=a,babbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8361 solved: rounds:3,rules:2,peak:6,longest:10,steps:7,word:0,work:1337,nodes:40,pairs:31,completionMax:114us [02m00s] 8361 ab:aa=a,babbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [02m00s] from: 8361 ab:aa=a,babbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [02m00s] # 8362 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:353,nodes:22,pairs:12,completionMax:56us [02m00s] 8362 ab:aa=a,bbaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [02m00s] from: 8362 ab:aa=a,bbaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [02m00s] # 8363 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:761,nodes:32,pairs:16,completionMax:67us [02m00s] 8363 ab:aa=a,bbaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8363 ab:aa=a,bbaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8364 solved: rounds:3,rules:2,peak:8,longest:9,steps:6,word:0,work:1139,nodes:42,pairs:45,completionMax:145us [02m00s] 8364 ab:aa=a,bbababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [02m00s] from: 8364 ab:aa=a,bbababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [02m00s] # 8365 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:0,work:1631,nodes:40,pairs:39,completionMax:141us [02m00s] 8365 ab:aa=a,bbabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [02m00s] from: 8365 ab:aa=a,bbabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [02m00s] # 8366 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:0,work:672,nodes:32,pairs:15,completionMax:55us [02m00s] 8366 ab:aa=a,bbbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [02m00s] from: 8366 ab:aa=a,bbbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [02m00s] # 8367 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:4,nodes:16,pairs:0,completionMax:3us [02m00s] 8367 ab:aa=a,bbbbbbb=1 infinite ab - - ab:aa=a,bbbbbbb=1 [02m00s] # 8368 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:6us [02m00s] 8368 ab:aa=b,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 8368 ab:aa=b,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 8369 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:7,nodes:16,pairs:0,completionMax:4us [02m00s] 8369 ab:aa=b,aaaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [02m00s] from: 8369 ab:aa=b,aaaaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [02m00s] # 8370 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:6,nodes:16,pairs:0,completionMax:6us [02m00s] 8370 ab:aa=b,aaaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [02m00s] from: 8370 ab:aa=b,aaaaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [02m00s] # 8371 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:14,nodes:18,pairs:0,completionMax:5us [02m00s] 8371 ab:aa=b,aaaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8371 ab:aa=b,aaaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8372 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:5,nodes:16,pairs:0,completionMax:5us [02m00s] 8372 ab:aa=b,aaaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [02m00s] from: 8372 ab:aa=b,aaaabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [02m00s] # 8373 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:13,nodes:18,pairs:0,completionMax:6us [02m00s] 8373 ab:aa=b,aaaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8373 ab:aa=b,aaaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8374 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:12,nodes:18,pairs:0,completionMax:5us [02m00s] 8374 ab:aa=b,aaaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8374 ab:aa=b,aaaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8375 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:21,nodes:20,pairs:0,completionMax:5us [02m00s] 8375 ab:aa=b,aaaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8375 ab:aa=b,aaaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8376 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:4,nodes:16,pairs:0,completionMax:4us [02m00s] 8376 ab:aa=b,aaabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [02m00s] from: 8376 ab:aa=b,aaabaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [02m00s] # 8377 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:12,nodes:18,pairs:0,completionMax:5us [02m00s] 8377 ab:aa=b,aaabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8377 ab:aa=b,aaabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8378 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:11,nodes:18,pairs:0,completionMax:4us [02m00s] 8378 ab:aa=b,aaababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8378 ab:aa=b,aaababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8379 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:20,nodes:20,pairs:0,completionMax:13us [02m00s] 8379 ab:aa=b,aaababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8379 ab:aa=b,aaababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8380 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:10,nodes:18,pairs:0,completionMax:6us [02m00s] 8380 ab:aa=b,aaabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8380 ab:aa=b,aaabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8381 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:19,nodes:20,pairs:0,completionMax:6us [02m00s] 8381 ab:aa=b,aaabbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8381 ab:aa=b,aaabbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8382 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:18,nodes:20,pairs:0,completionMax:5us [02m00s] 8382 ab:aa=b,aaabbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8382 ab:aa=b,aaabbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8383 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:28,nodes:22,pairs:0,completionMax:7us [02m00s] 8383 ab:aa=b,aaabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8383 ab:aa=b,aaabbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8384 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:11,nodes:18,pairs:0,completionMax:5us [02m00s] 8384 ab:aa=b,aabaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8384 ab:aa=b,aabaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8385 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:10,nodes:18,pairs:0,completionMax:3us [02m00s] 8385 ab:aa=b,aabaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8385 ab:aa=b,aabaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8386 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:19,nodes:20,pairs:0,completionMax:3us [02m00s] 8386 ab:aa=b,aabaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8386 ab:aa=b,aabaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8387 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:9,nodes:18,pairs:0,completionMax:6us [02m00s] 8387 ab:aa=b,aababaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8387 ab:aa=b,aababaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8388 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:18,nodes:20,pairs:0,completionMax:4us [02m00s] 8388 ab:aa=b,aababab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8388 ab:aa=b,aababab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8389 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:17,nodes:20,pairs:0,completionMax:4us [02m00s] 8389 ab:aa=b,aababba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8389 ab:aa=b,aababba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8390 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:27,nodes:22,pairs:0,completionMax:4us [02m00s] 8390 ab:aa=b,aababbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8390 ab:aa=b,aababbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8391 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:17,nodes:20,pairs:0,completionMax:6us [02m00s] 8391 ab:aa=b,aabbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8391 ab:aa=b,aabbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8392 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:16,nodes:20,pairs:0,completionMax:5us [02m00s] 8392 ab:aa=b,aabbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8392 ab:aa=b,aabbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8393 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:26,nodes:22,pairs:0,completionMax:6us [02m00s] 8393 ab:aa=b,aabbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8393 ab:aa=b,aabbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8394 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:15,nodes:20,pairs:0,completionMax:5us [02m00s] 8394 ab:aa=b,aabbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8394 ab:aa=b,aabbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8395 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:25,nodes:22,pairs:0,completionMax:6us [02m00s] 8395 ab:aa=b,aabbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8395 ab:aa=b,aabbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8396 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:24,nodes:22,pairs:0,completionMax:6us [02m00s] 8396 ab:aa=b,aabbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8396 ab:aa=b,aabbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8397 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:35,nodes:24,pairs:0,completionMax:10us [02m00s] 8397 ab:aa=b,aabbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8397 ab:aa=b,aabbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8398 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:10,nodes:18,pairs:0,completionMax:6us [02m00s] 8398 ab:aa=b,abaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8398 ab:aa=b,abaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8399 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:9,nodes:18,pairs:0,completionMax:6us [02m00s] 8399 ab:aa=b,abaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8399 ab:aa=b,abaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8400 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:18,nodes:20,pairs:0,completionMax:5us [02m00s] 8400 ab:aa=b,abaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8400 ab:aa=b,abaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8401 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:17,nodes:20,pairs:0,completionMax:6us [02m00s] 8401 ab:aa=b,abaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8401 ab:aa=b,abaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8402 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:16,nodes:20,pairs:0,completionMax:7us [02m00s] 8402 ab:aa=b,abaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8402 ab:aa=b,abaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8403 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:26,nodes:22,pairs:0,completionMax:8us [02m00s] 8403 ab:aa=b,abaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8403 ab:aa=b,abaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8404 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:16,nodes:20,pairs:0,completionMax:5us [02m00s] 8404 ab:aa=b,ababaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8404 ab:aa=b,ababaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8405 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:15,nodes:20,pairs:0,completionMax:5us [02m00s] 8405 ab:aa=b,abababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8405 ab:aa=b,abababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8406 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:25,nodes:22,pairs:0,completionMax:6us [02m00s] 8406 ab:aa=b,abababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8406 ab:aa=b,abababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8407 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:24,nodes:22,pairs:0,completionMax:7us [02m00s] 8407 ab:aa=b,ababbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8407 ab:aa=b,ababbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8408 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:23,nodes:22,pairs:0,completionMax:6us [02m00s] 8408 ab:aa=b,ababbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8408 ab:aa=b,ababbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8409 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:34,nodes:24,pairs:0,completionMax:7us [02m00s] 8409 ab:aa=b,ababbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8409 ab:aa=b,ababbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8410 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:15,nodes:20,pairs:0,completionMax:6us [02m00s] 8410 ab:aa=b,abbaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8410 ab:aa=b,abbaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8411 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:24,nodes:22,pairs:0,completionMax:6us [02m00s] 8411 ab:aa=b,abbaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8411 ab:aa=b,abbaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8412 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:23,nodes:22,pairs:0,completionMax:6us [02m00s] 8412 ab:aa=b,abbabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8412 ab:aa=b,abbabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8413 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:22,nodes:22,pairs:0,completionMax:6us [02m00s] 8413 ab:aa=b,abbabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8413 ab:aa=b,abbabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8414 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:33,nodes:24,pairs:0,completionMax:7us [02m00s] 8414 ab:aa=b,abbabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8414 ab:aa=b,abbabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8415 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:22,nodes:22,pairs:0,completionMax:6us [02m00s] 8415 ab:aa=b,abbbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8415 ab:aa=b,abbbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8416 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:32,nodes:24,pairs:0,completionMax:9us [02m00s] 8416 ab:aa=b,abbbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8416 ab:aa=b,abbbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8417 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:31,nodes:24,pairs:0,completionMax:7us [02m00s] 8417 ab:aa=b,abbbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8417 ab:aa=b,abbbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8418 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:30,nodes:24,pairs:0,completionMax:12us [02m00s] 8418 ab:aa=b,abbbbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8418 ab:aa=b,abbbbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8419 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:42,nodes:26,pairs:0,completionMax:7us [02m00s] 8419 ab:aa=b,abbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [02m00s] from: 8419 ab:aa=b,abbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [02m00s] # 8420 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:9,nodes:18,pairs:0,completionMax:7us [02m00s] 8420 ab:aa=b,baaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [02m00s] from: 8420 ab:aa=b,baaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [02m00s] # 8421 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:17,nodes:20,pairs:0,completionMax:8us [02m00s] 8421 ab:aa=b,baaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8421 ab:aa=b,baaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8422 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:16,nodes:20,pairs:0,completionMax:6us [02m00s] 8422 ab:aa=b,baaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8422 ab:aa=b,baaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8423 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:25,nodes:22,pairs:0,completionMax:7us [02m00s] 8423 ab:aa=b,baaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8423 ab:aa=b,baaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8424 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:15,nodes:20,pairs:0,completionMax:5us [02m00s] 8424 ab:aa=b,baabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [02m00s] from: 8424 ab:aa=b,baabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [02m00s] # 8425 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:24,nodes:22,pairs:0,completionMax:5us [02m00s] 8425 ab:aa=b,baababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8425 ab:aa=b,baababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8426 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:23,nodes:22,pairs:0,completionMax:6us [02m00s] 8426 ab:aa=b,baabbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8426 ab:aa=b,baabbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8427 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:33,nodes:24,pairs:0,completionMax:9us [02m00s] 8427 ab:aa=b,baabbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8427 ab:aa=b,baabbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8428 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:23,nodes:22,pairs:0,completionMax:7us [02m00s] 8428 ab:aa=b,babaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8428 ab:aa=b,babaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8429 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:22,nodes:22,pairs:0,completionMax:7us [02m00s] 8429 ab:aa=b,bababab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8429 ab:aa=b,bababab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8430 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:32,nodes:24,pairs:0,completionMax:8us [02m00s] 8430 ab:aa=b,bababbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8430 ab:aa=b,bababbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8431 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:31,nodes:24,pairs:0,completionMax:8us [02m00s] 8431 ab:aa=b,babbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8431 ab:aa=b,babbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8432 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:30,nodes:24,pairs:0,completionMax:8us [02m00s] 8432 ab:aa=b,babbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8432 ab:aa=b,babbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8433 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:41,nodes:26,pairs:0,completionMax:7us [02m00s] 8433 ab:aa=b,babbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [02m00s] from: 8433 ab:aa=b,babbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [02m00s] # 8434 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:22,nodes:22,pairs:0,completionMax:6us [02m00s] 8434 ab:aa=b,bbaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [02m00s] from: 8434 ab:aa=b,bbaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [02m00s] # 8435 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:31,nodes:24,pairs:0,completionMax:10us [02m00s] 8435 ab:aa=b,bbaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8435 ab:aa=b,bbaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8436 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:30,nodes:24,pairs:0,completionMax:8us [02m00s] 8436 ab:aa=b,bbababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [02m00s] from: 8436 ab:aa=b,bbababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [02m00s] # 8437 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:40,nodes:26,pairs:0,completionMax:7us [02m00s] 8437 ab:aa=b,bbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [02m00s] from: 8437 ab:aa=b,bbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [02m00s] # 8438 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:39,nodes:26,pairs:0,completionMax:10us [02m00s] 8438 ab:aa=b,bbbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [02m00s] from: 8438 ab:aa=b,bbbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [02m00s] # 8439 solved: rounds:0,rules:2,peak:2,longest:14,steps:7,word:7,work:49,nodes:28,pairs:0,completionMax:7us [02m00s] 8439 ab:aa=b,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [02m00s] from: 8439 ab:aa=b,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [02m00s] # 8440 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:14,pairs:1,completionMax:8us [02m00s] 8440 ab:ab=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [02m00s] from: 8440 ab:ab=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [02m00s] # 8441 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:13,nodes:12,pairs:1,completionMax:5us [02m00s] 8441 ab:ab=a,aaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8441 ab:ab=a,aaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8442 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:5us [02m00s] 8442 ab:ab=a,aaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8442 ab:ab=a,aaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8443 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:5us [02m00s] 8443 ab:ab=a,aaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8443 ab:ab=a,aaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8444 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:11,nodes:12,pairs:1,completionMax:5us [02m00s] 8444 ab:ab=a,aaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8444 ab:ab=a,aaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8445 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:6us [02m00s] 8445 ab:ab=a,aaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8445 ab:ab=a,aaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8446 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:4us [02m00s] 8446 ab:ab=a,aaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8446 ab:ab=a,aaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8447 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:19,nodes:8,pairs:1,completionMax:6us [02m00s] 8447 ab:ab=a,aaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8447 ab:ab=a,aaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8448 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:10,nodes:12,pairs:1,completionMax:14us [02m00s] 8448 ab:ab=a,aaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8448 ab:ab=a,aaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8449 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:5us [02m00s] 8449 ab:ab=a,aaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8449 ab:ab=a,aaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8450 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:7us [02m00s] 8450 ab:ab=a,aaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8450 ab:ab=a,aaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8451 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:18,nodes:8,pairs:1,completionMax:4us [02m00s] 8451 ab:ab=a,aaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8451 ab:ab=a,aaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8452 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:6us [02m00s] 8452 ab:ab=a,aaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8452 ab:ab=a,aaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8453 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:17,nodes:8,pairs:1,completionMax:5us [02m00s] 8453 ab:ab=a,aaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8453 ab:ab=a,aaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8454 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:8us [02m00s] 8454 ab:ab=a,aaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8454 ab:ab=a,aaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8455 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:19,nodes:6,pairs:1,completionMax:4us [02m00s] 8455 ab:ab=a,aaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8455 ab:ab=a,aaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8456 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:9,nodes:12,pairs:1,completionMax:6us [02m00s] 8456 ab:ab=a,aabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8456 ab:ab=a,aabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8457 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:4us [02m00s] 8457 ab:ab=a,aabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8457 ab:ab=a,aabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8458 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:5us [02m00s] 8458 ab:ab=a,aabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8458 ab:ab=a,aabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8459 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:17,nodes:8,pairs:1,completionMax:10us [02m00s] 8459 ab:ab=a,aabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8459 ab:ab=a,aabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8460 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:11us [02m00s] 8460 ab:ab=a,aababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8460 ab:ab=a,aababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8461 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:8us [02m00s] 8461 ab:ab=a,aababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8461 ab:ab=a,aababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8462 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:15,nodes:8,pairs:1,completionMax:9us [02m00s] 8462 ab:ab=a,aababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8462 ab:ab=a,aababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8463 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:18,nodes:6,pairs:1,completionMax:6us [02m00s] 8463 ab:ab=a,aababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8463 ab:ab=a,aababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8464 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:6us [02m00s] 8464 ab:ab=a,aabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8464 ab:ab=a,aabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8465 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:15,nodes:8,pairs:1,completionMax:6us [02m00s] 8465 ab:ab=a,aabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8465 ab:ab=a,aabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8466 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:14,nodes:8,pairs:1,completionMax:5us [02m00s] 8466 ab:ab=a,aabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8466 ab:ab=a,aabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8467 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:17,nodes:6,pairs:1,completionMax:6us [02m00s] 8467 ab:ab=a,aabbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8467 ab:ab=a,aabbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8468 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:13,nodes:8,pairs:1,completionMax:4us [02m00s] 8468 ab:ab=a,aabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8468 ab:ab=a,aabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8469 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:16,nodes:6,pairs:1,completionMax:6us [02m00s] 8469 ab:ab=a,aabbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8469 ab:ab=a,aabbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8470 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:15,nodes:6,pairs:1,completionMax:5us [02m00s] 8470 ab:ab=a,aabbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8470 ab:ab=a,aabbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8471 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:17,nodes:4,pairs:1,completionMax:4us [02m00s] 8471 ab:ab=a,aabbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8471 ab:ab=a,aabbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8472 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:5us [02m00s] 8472 ab:ab=a,abaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8472 ab:ab=a,abaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8473 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:3us [02m00s] 8473 ab:ab=a,abaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8473 ab:ab=a,abaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8474 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:6us [02m00s] 8474 ab:ab=a,abaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8474 ab:ab=a,abaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8475 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:3us [02m00s] 8475 ab:ab=a,abaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8475 ab:ab=a,abaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8476 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:4us [02m00s] 8476 ab:ab=a,abaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8476 ab:ab=a,abaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8477 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:15,nodes:8,pairs:1,completionMax:3us [02m00s] 8477 ab:ab=a,abaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8477 ab:ab=a,abaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8478 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:14,nodes:8,pairs:1,completionMax:4us [02m00s] 8478 ab:ab=a,abaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8478 ab:ab=a,abaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8479 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:17,nodes:6,pairs:1,completionMax:8us [02m00s] 8479 ab:ab=a,abaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8479 ab:ab=a,abaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8480 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:6us [02m00s] 8480 ab:ab=a,ababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8480 ab:ab=a,ababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8481 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:14,nodes:8,pairs:1,completionMax:5us [02m00s] 8481 ab:ab=a,ababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8481 ab:ab=a,ababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8482 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:13,nodes:8,pairs:1,completionMax:4us [02m00s] 8482 ab:ab=a,abababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8482 ab:ab=a,abababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8483 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:16,nodes:6,pairs:1,completionMax:3us [02m00s] 8483 ab:ab=a,abababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8483 ab:ab=a,abababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8484 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:12,nodes:8,pairs:1,completionMax:6us [02m00s] 8484 ab:ab=a,ababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8484 ab:ab=a,ababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8485 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:15,nodes:6,pairs:1,completionMax:5us [02m00s] 8485 ab:ab=a,ababbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8485 ab:ab=a,ababbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8486 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:14,nodes:6,pairs:1,completionMax:4us [02m00s] 8486 ab:ab=a,ababbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8486 ab:ab=a,ababbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8487 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:16,nodes:4,pairs:1,completionMax:7us [02m00s] 8487 ab:ab=a,ababbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8487 ab:ab=a,ababbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8488 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:7us [02m00s] 8488 ab:ab=a,abbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8488 ab:ab=a,abbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8489 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:13,nodes:8,pairs:1,completionMax:3us [02m00s] 8489 ab:ab=a,abbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8489 ab:ab=a,abbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8490 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:12,nodes:8,pairs:1,completionMax:4us [02m00s] 8490 ab:ab=a,abbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8490 ab:ab=a,abbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8491 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:15,nodes:6,pairs:1,completionMax:3us [02m00s] 8491 ab:ab=a,abbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8491 ab:ab=a,abbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8492 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:11,nodes:8,pairs:1,completionMax:5us [02m00s] 8492 ab:ab=a,abbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8492 ab:ab=a,abbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8493 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:14,nodes:6,pairs:1,completionMax:4us [02m00s] 8493 ab:ab=a,abbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8493 ab:ab=a,abbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8494 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:13,nodes:6,pairs:1,completionMax:3us [02m00s] 8494 ab:ab=a,abbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8494 ab:ab=a,abbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8495 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:15,nodes:4,pairs:1,completionMax:3us [02m00s] 8495 ab:ab=a,abbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8495 ab:ab=a,abbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8496 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:10,nodes:8,pairs:1,completionMax:6us [02m00s] 8496 ab:ab=a,abbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8496 ab:ab=a,abbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8497 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:13,nodes:6,pairs:1,completionMax:4us [02m00s] 8497 ab:ab=a,abbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8497 ab:ab=a,abbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8498 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:12,nodes:6,pairs:1,completionMax:4us [02m00s] 8498 ab:ab=a,abbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8498 ab:ab=a,abbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8499 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:14,nodes:4,pairs:1,completionMax:3us [02m00s] 8499 ab:ab=a,abbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8499 ab:ab=a,abbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8500 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:11,nodes:6,pairs:1,completionMax:3us [02m00s] 8500 ab:ab=a,abbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8500 ab:ab=a,abbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8501 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:13,nodes:4,pairs:1,completionMax:3us [02m00s] 8501 ab:ab=a,abbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8501 ab:ab=a,abbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8502 solved: rounds:1,rules:2,peak:3,longest:2,steps:5,word:0,work:12,nodes:4,pairs:1,completionMax:5us [02m00s] 8502 ab:ab=a,abbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8502 ab:ab=a,abbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8503 solved: rounds:1,rules:2,peak:2,longest:2,steps:6,word:0,work:13,nodes:4,pairs:1,completionMax:2us [02m00s] 8503 ab:ab=a,abbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8503 ab:ab=a,abbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8504 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:60,nodes:26,pairs:3,completionMax:33us [02m00s] 8504 ab:ab=a,baaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [02m00s] from: 8504 ab:ab=a,baaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [02m00s] # 8505 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:58,nodes:22,pairs:3,completionMax:19us [02m00s] 8505 ab:ab=a,baaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8505 ab:ab=a,baaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8506 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:57,nodes:22,pairs:3,completionMax:24us [02m00s] 8506 ab:ab=a,baaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8506 ab:ab=a,baaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8507 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:54,nodes:18,pairs:3,completionMax:20us [02m00s] 8507 ab:ab=a,baaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8507 ab:ab=a,baaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8508 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:56,nodes:22,pairs:3,completionMax:19us [02m00s] 8508 ab:ab=a,baaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8508 ab:ab=a,baaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8509 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:18,pairs:3,completionMax:16us [02m00s] 8509 ab:ab=a,baaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8509 ab:ab=a,baaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8510 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:52,nodes:18,pairs:3,completionMax:23us [02m00s] 8510 ab:ab=a,baaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8510 ab:ab=a,baaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8511 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:48,nodes:14,pairs:3,completionMax:18us [02m00s] 8511 ab:ab=a,baaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8511 ab:ab=a,baaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8512 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:55,nodes:22,pairs:3,completionMax:22us [02m00s] 8512 ab:ab=a,baabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8512 ab:ab=a,baabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8513 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:52,nodes:18,pairs:3,completionMax:23us [02m00s] 8513 ab:ab=a,baabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8513 ab:ab=a,baabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8514 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:51,nodes:18,pairs:3,completionMax:24us [02m00s] 8514 ab:ab=a,baababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8514 ab:ab=a,baababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8515 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:47,nodes:14,pairs:3,completionMax:18us [02m00s] 8515 ab:ab=a,baababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8515 ab:ab=a,baababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8516 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:50,nodes:18,pairs:3,completionMax:21us [02m00s] 8516 ab:ab=a,baabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8516 ab:ab=a,baabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8517 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:46,nodes:14,pairs:3,completionMax:19us [02m00s] 8517 ab:ab=a,baabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8517 ab:ab=a,baabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8518 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:45,nodes:14,pairs:3,completionMax:16us [02m00s] 8518 ab:ab=a,baabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8518 ab:ab=a,baabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8519 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:40,nodes:10,pairs:3,completionMax:16us [02m00s] 8519 ab:ab=a,baabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8519 ab:ab=a,baabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8520 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:54,nodes:22,pairs:3,completionMax:28us [02m00s] 8520 ab:ab=a,babaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8520 ab:ab=a,babaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8521 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:51,nodes:18,pairs:3,completionMax:14us [02m00s] 8521 ab:ab=a,babaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8521 ab:ab=a,babaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8522 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:50,nodes:18,pairs:3,completionMax:17us [02m00s] 8522 ab:ab=a,babaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8522 ab:ab=a,babaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8523 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:46,nodes:14,pairs:3,completionMax:14us [02m00s] 8523 ab:ab=a,babaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8523 ab:ab=a,babaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8524 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:49,nodes:18,pairs:3,completionMax:16us [02m00s] 8524 ab:ab=a,bababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8524 ab:ab=a,bababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8525 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:45,nodes:14,pairs:3,completionMax:10us [02m00s] 8525 ab:ab=a,bababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8525 ab:ab=a,bababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8526 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:44,nodes:14,pairs:3,completionMax:8us [02m00s] 8526 ab:ab=a,bababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8526 ab:ab=a,bababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8527 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:39,nodes:10,pairs:3,completionMax:8us [02m00s] 8527 ab:ab=a,bababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8527 ab:ab=a,bababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8528 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:48,nodes:18,pairs:3,completionMax:19us [02m00s] 8528 ab:ab=a,babbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8528 ab:ab=a,babbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8529 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:44,nodes:14,pairs:3,completionMax:11us [02m00s] 8529 ab:ab=a,babbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8529 ab:ab=a,babbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8530 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:43,nodes:14,pairs:3,completionMax:11us [02m00s] 8530 ab:ab=a,babbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8530 ab:ab=a,babbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8531 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:38,nodes:10,pairs:3,completionMax:10us [02m00s] 8531 ab:ab=a,babbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8531 ab:ab=a,babbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8532 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:42,nodes:14,pairs:3,completionMax:9us [02m00s] 8532 ab:ab=a,babbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8532 ab:ab=a,babbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8533 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:37,nodes:10,pairs:3,completionMax:7us [02m00s] 8533 ab:ab=a,babbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8533 ab:ab=a,babbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8534 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:36,nodes:10,pairs:3,completionMax:8us [02m00s] 8534 ab:ab=a,babbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8534 ab:ab=a,babbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8535 solved: rounds:2,rules:2,peak:4,longest:2,steps:5,word:0,work:29,nodes:6,pairs:3,completionMax:9us [02m00s] 8535 ab:ab=a,babbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8535 ab:ab=a,babbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8536 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:66,nodes:24,pairs:4,completionMax:24us [02m00s] 8536 ab:ab=a,bbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [02m00s] from: 8536 ab:ab=a,bbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [02m00s] # 8537 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:62,nodes:20,pairs:4,completionMax:17us [02m00s] 8537 ab:ab=a,bbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8537 ab:ab=a,bbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8538 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:61,nodes:20,pairs:4,completionMax:23us [02m00s] 8538 ab:ab=a,bbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8538 ab:ab=a,bbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8539 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:56,nodes:16,pairs:4,completionMax:16us [02m00s] 8539 ab:ab=a,bbaaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8539 ab:ab=a,bbaaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8540 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:20,pairs:4,completionMax:16us [02m00s] 8540 ab:ab=a,bbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8540 ab:ab=a,bbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8541 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:55,nodes:16,pairs:4,completionMax:17us [02m00s] 8541 ab:ab=a,bbaabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8541 ab:ab=a,bbaabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8542 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:54,nodes:16,pairs:4,completionMax:15us [02m00s] 8542 ab:ab=a,bbaabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8542 ab:ab=a,bbaabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8543 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:48,nodes:12,pairs:4,completionMax:16us [02m00s] 8543 ab:ab=a,bbaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8543 ab:ab=a,bbaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8544 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:59,nodes:20,pairs:4,completionMax:17us [02m00s] 8544 ab:ab=a,bbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8544 ab:ab=a,bbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8545 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:54,nodes:16,pairs:4,completionMax:14us [02m00s] 8545 ab:ab=a,bbabaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8545 ab:ab=a,bbabaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8546 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:4,completionMax:22us [02m00s] 8546 ab:ab=a,bbababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8546 ab:ab=a,bbababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8547 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:47,nodes:12,pairs:4,completionMax:10us [02m00s] 8547 ab:ab=a,bbababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8547 ab:ab=a,bbababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8548 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:52,nodes:16,pairs:4,completionMax:14us [02m00s] 8548 ab:ab=a,bbabbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8548 ab:ab=a,bbabbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8549 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:46,nodes:12,pairs:4,completionMax:12us [02m00s] 8549 ab:ab=a,bbabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8549 ab:ab=a,bbabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8550 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:45,nodes:12,pairs:4,completionMax:11us [02m00s] 8550 ab:ab=a,bbabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8550 ab:ab=a,bbabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8551 solved: rounds:2,rules:2,peak:4,longest:3,steps:4,word:0,work:37,nodes:8,pairs:4,completionMax:10us [02m00s] 8551 ab:ab=a,bbabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8551 ab:ab=a,bbabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8552 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:70,nodes:22,pairs:5,completionMax:21us [02m00s] 8552 ab:ab=a,bbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [02m00s] from: 8552 ab:ab=a,bbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [02m00s] # 8553 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:64,nodes:18,pairs:5,completionMax:16us [02m00s] 8553 ab:ab=a,bbbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8553 ab:ab=a,bbbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8554 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:63,nodes:18,pairs:5,completionMax:18us [02m00s] 8554 ab:ab=a,bbbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8554 ab:ab=a,bbbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8555 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:56,nodes:14,pairs:5,completionMax:13us [02m00s] 8555 ab:ab=a,bbbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8555 ab:ab=a,bbbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8556 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:62,nodes:18,pairs:5,completionMax:19us [02m00s] 8556 ab:ab=a,bbbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8556 ab:ab=a,bbbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8557 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:55,nodes:14,pairs:5,completionMax:12us [02m00s] 8557 ab:ab=a,bbbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8557 ab:ab=a,bbbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8558 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:54,nodes:14,pairs:5,completionMax:11us [02m00s] 8558 ab:ab=a,bbbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8558 ab:ab=a,bbbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8559 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:45,nodes:10,pairs:5,completionMax:12us [02m00s] 8559 ab:ab=a,bbbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8559 ab:ab=a,bbbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8560 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:72,nodes:20,pairs:6,completionMax:28us [02m00s] 8560 ab:ab=a,bbbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 8560 ab:ab=a,bbbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 8561 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:64,nodes:16,pairs:6,completionMax:15us [02m00s] 8561 ab:ab=a,bbbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8561 ab:ab=a,bbbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8562 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:63,nodes:16,pairs:6,completionMax:16us [02m00s] 8562 ab:ab=a,bbbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8562 ab:ab=a,bbbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8563 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:53,nodes:12,pairs:6,completionMax:11us [02m00s] 8563 ab:ab=a,bbbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8563 ab:ab=a,bbbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8564 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:0,work:72,nodes:18,pairs:7,completionMax:16us [02m00s] 8564 ab:ab=a,bbbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 8564 ab:ab=a,bbbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 8565 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:61,nodes:14,pairs:7,completionMax:19us [02m00s] 8565 ab:ab=a,bbbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8565 ab:ab=a,bbbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8566 solved: rounds:2,rules:2,peak:4,longest:7,steps:6,word:0,work:69,nodes:16,pairs:8,completionMax:15us [02m00s] 8566 ab:ab=a,bbbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 8566 ab:ab=a,bbbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 8567 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:12,nodes:16,pairs:0,completionMax:10us [02m00s] 8567 ab:ab=a,bbbbbbb=1 infinite ab - - ab:ab=a,bbbbbbb=1 [02m00s] # 8568 solved: rounds:0,rules:1,peak:1,longest:2,steps:5,word:0,work:14,nodes:4,pairs:0,completionMax:1us [02m00s] 8568 ab:aa=a,aaaaaa=a infinite ab - - ab:aa=a [02m00s] from: 8568 ab:aa=a,aaaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 8569 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:14,nodes:4,pairs:0,completionMax:4us [02m00s] 8569 ab:aa=a,aaaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [02m00s] from: 8569 ab:aa=a,aaaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [02m00s] # 8570 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:3us [02m00s] 8570 ab:aa=a,aaaaab=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8570 ab:aa=a,aaaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8571 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:3us [02m00s] 8571 ab:aa=a,aaaaab=b infinite ab - - ab:aa=a,ab=b [02m00s] from: 8571 ab:aa=a,aaaaab=b infinite to: 56 ab:aa=a,ab=b infinite a=a,b=b [02m00s] # 8572 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:6,pairs:0,completionMax:6us [02m00s] 8572 ab:aa=a,aaaaba=a infinite ab - - ab:aa=a,aba=a [02m00s] from: 8572 ab:aa=a,aaaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 8573 solved: rounds:1,rules:3,peak:4,longest:3,steps:3,word:0,work:42,nodes:8,pairs:3,completionMax:11us [02m00s] 8573 ab:aa=a,aaaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [02m00s] from: 8573 ab:aa=a,aaaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [02m00s] # 8574 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:0,completionMax:2us [02m00s] 8574 ab:aa=a,aaaabb=a infinite ab - - ab:aa=a,abb=a [02m00s] from: 8574 ab:aa=a,aaaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [02m00s] # 8575 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:25,nodes:6,pairs:2,completionMax:13us [02m00s] 8575 ab:aa=a,aaaabb=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [02m00s] from: 8575 ab:aa=a,aaaabb=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [02m00s] # 8576 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:6,pairs:0,completionMax:3us [02m00s] 8576 ab:aa=a,aaabaa=a infinite ab - - ab:aa=a,aba=a [02m00s] from: 8576 ab:aa=a,aaabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 8577 solved: rounds:1,rules:3,peak:4,longest:3,steps:3,word:0,work:44,nodes:8,pairs:3,completionMax:17us [02m00s] 8577 ab:aa=a,aaabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [02m00s] from: 8577 ab:aa=a,aaabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [02m00s] # 8578 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:5,completionMax:14us [02m00s] 8578 ab:aa=a,aaabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 8578 ab:aa=a,aaabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 8579 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:36,nodes:8,pairs:4,completionMax:9us [02m00s] 8579 ab:aa=a,aaabab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [02m00s] from: 8579 ab:aa=a,aaabab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [02m00s] # 8580 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:2us [02m00s] 8580 ab:aa=a,aaabba=a infinite ab - - ab:aa=a,abba=a [02m00s] from: 8580 ab:aa=a,aaabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [02m00s] # 8581 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:71,nodes:10,pairs:7,completionMax:11us [02m00s] 8581 ab:aa=a,aaabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [02m00s] from: 8581 ab:aa=a,aaabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [02m00s] # 8582 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:5us [02m00s] 8582 ab:aa=a,aaabbb=a infinite ab - - ab:aa=a,abbb=a [02m00s] from: 8582 ab:aa=a,aaabbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [02m00s] # 8583 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:27,nodes:8,pairs:2,completionMax:12us [02m00s] 8583 ab:aa=a,aaabbb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8583 ab:aa=a,aaabbb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8584 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:67,nodes:8,pairs:5,completionMax:17us [02m00s] 8584 ab:aa=a,aabaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 8584 ab:aa=a,aabaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 8585 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:38,nodes:8,pairs:4,completionMax:10us [02m00s] 8585 ab:aa=a,aabaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [02m00s] from: 8585 ab:aa=a,aabaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [02m00s] # 8586 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:4us [02m00s] 8586 ab:aa=a,aababa=a infinite ab - - ab:aa=a,ababa=a [02m00s] from: 8586 ab:aa=a,aababa=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [02m00s] # 8587 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:104,nodes:12,pairs:10,completionMax:16us [02m00s] 8587 ab:aa=a,aababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [02m00s] from: 8587 ab:aa=a,aababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [02m00s] # 8588 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [02m00s] 8588 ab:aa=a,aababb=a infinite ab - - ab:aa=a,ababb=a [02m00s] from: 8588 ab:aa=a,aababb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [02m00s] # 8589 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:34,nodes:10,pairs:3,completionMax:12us [02m00s] 8589 ab:aa=a,aababb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8589 ab:aa=a,aababb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8590 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:3us [02m00s] 8590 ab:aa=a,aabbaa=a infinite ab - - ab:aa=a,abba=a [02m00s] from: 8590 ab:aa=a,aabbaa=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [02m00s] # 8591 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:74,nodes:10,pairs:7,completionMax:17us [02m00s] 8591 ab:aa=a,aabbaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [02m00s] from: 8591 ab:aa=a,aabbaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [02m00s] # 8592 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:679,nodes:16,pairs:24,completionMax:70us [02m00s] 8592 ab:aa=a,aabbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [02m00s] from: 8592 ab:aa=a,aabbab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [02m00s] # 8593 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:41,nodes:10,pairs:4,completionMax:12us [02m00s] 8593 ab:aa=a,aabbab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8593 ab:aa=a,aabbab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8594 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:4us [02m00s] 8594 ab:aa=a,aabbba=a infinite ab - - ab:aa=a,abbba=a [02m00s] from: 8594 ab:aa=a,aabbba=a infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [02m00s] # 8595 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:73,nodes:12,pairs:7,completionMax:23us [02m00s] 8595 ab:aa=a,aabbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [02m00s] from: 8595 ab:aa=a,aabbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [02m00s] # 8596 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [02m00s] 8596 ab:aa=a,aabbbb=a infinite ab - - ab:aa=a,abbbb=a [02m00s] from: 8596 ab:aa=a,aabbbb=a infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [02m00s] # 8597 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:13us [02m00s] 8597 ab:aa=a,aabbbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [02m00s] from: 8597 ab:aa=a,aabbbb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [02m00s] # 8598 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:69,nodes:8,pairs:5,completionMax:15us [02m00s] 8598 ab:aa=a,abaaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 8598 ab:aa=a,abaaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 8599 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:40,nodes:8,pairs:4,completionMax:13us [02m00s] 8599 ab:aa=a,abaaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [02m00s] from: 8599 ab:aa=a,abaaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [02m00s] # 8600 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:5us [02m00s] 8600 ab:aa=a,abaaba=a infinite ab - - ab:aa=a,ababa=a [02m00s] from: 8600 ab:aa=a,abaaba=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [02m00s] # 8601 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:106,nodes:12,pairs:10,completionMax:22us [02m00s] 8601 ab:aa=a,abaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [02m00s] from: 8601 ab:aa=a,abaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [02m00s] # 8602 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [02m00s] 8602 ab:aa=a,abaabb=a infinite ab - - ab:aa=a,ababb=a [02m00s] from: 8602 ab:aa=a,abaabb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [02m00s] # 8603 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:36,nodes:10,pairs:3,completionMax:9us [02m00s] 8603 ab:aa=a,abaabb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8603 ab:aa=a,abaabb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8604 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:185,nodes:14,pairs:11,completionMax:26us [02m00s] 8604 ab:aa=a,ababab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [02m00s] from: 8604 ab:aa=a,ababab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [02m00s] # 8605 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:66,nodes:12,pairs:6,completionMax:13us [02m00s] 8605 ab:aa=a,ababab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8605 ab:aa=a,ababab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8606 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:3us [02m00s] 8606 ab:aa=a,ababba=a infinite ab - - ab:aa=a,ababba=a [02m00s] # 8607 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:105,nodes:14,pairs:9,completionMax:19us [02m00s] 8607 ab:aa=a,ababba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [02m00s] from: 8607 ab:aa=a,ababba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [02m00s] # 8608 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:2us [02m00s] 8608 ab:aa=a,ababbb=a infinite ab - - ab:aa=a,ababbb=a [02m00s] # 8609 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:37,nodes:12,pairs:3,completionMax:18us [02m00s] 8609 ab:aa=a,ababbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [02m00s] from: 8609 ab:aa=a,ababbb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [02m00s] # 8610 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:682,nodes:16,pairs:24,completionMax:62us [02m00s] 8610 ab:aa=a,abbaab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [02m00s] from: 8610 ab:aa=a,abbaab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [02m00s] # 8611 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:44,nodes:10,pairs:4,completionMax:11us [02m00s] 8611 ab:aa=a,abbaab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [02m00s] from: 8611 ab:aa=a,abbaab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8612 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:82,nodes:12,pairs:5,completionMax:14us [02m00s] 8612 ab:aa=a,abbabb=a infinite ab - - ab:aa=a,abba=abb,abbbb=a [02m00s] # 8613 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:43,nodes:12,pairs:4,completionMax:9us [02m00s] 8613 ab:aa=a,abbabb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [02m00s] from: 8613 ab:aa=a,abbabb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [02m00s] # 8614 solved: rounds:3,rules:5,peak:7,longest:9,steps:4,word:0,work:1178,nodes:26,pairs:32,completionMax:70us [02m00s] 8614 ab:aa=a,abbbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [02m00s] # 8615 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:46,nodes:12,pairs:4,completionMax:9us [02m00s] 8615 ab:aa=a,abbbab=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [02m00s] from: 8615 ab:aa=a,abbbab=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [02m00s] # 8616 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:32,nodes:12,pairs:0,completionMax:2us [02m00s] 8616 ab:aa=a,abbbba=a infinite ab - - ab:aa=a,abbbba=a [02m00s] # 8617 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:83,nodes:14,pairs:7,completionMax:11us [02m00s] 8617 ab:aa=a,abbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:aa=a,ab=b,ba=b,bbbb=b [02m00s] # 8618 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:3us [02m00s] 8618 ab:aa=a,abbbbb=a infinite ab - - ab:aa=a,abbbbb=a [02m00s] # 8619 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:31,nodes:12,pairs:2,completionMax:19us [02m00s] 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [02m00s] # 8620 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:57,nodes:8,pairs:3,completionMax:16us [02m00s] 8620 ab:aa=a,baaaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [02m00s] from: 8620 ab:aa=a,baaaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [02m00s] # 8621 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:8,pairs:0,completionMax:2us [02m00s] 8621 ab:aa=a,baaaab=b infinite ab - - ab:aa=a,bab=b [02m00s] from: 8621 ab:aa=a,baaaab=b infinite to: 244 ab:aa=a,bab=b infinite a=a,b=b [02m00s] # 8622 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:775,nodes:24,pairs:5,completionMax:57us [02m00s] 8622 ab:aa=a,baaabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [02m00s] from: 8622 ab:aa=a,baaabb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [02m00s] # 8623 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:5us [02m00s] 8623 ab:aa=a,baaabb=b infinite ab - - ab:aa=a,babb=b [02m00s] from: 8623 ab:aa=a,baaabb=b infinite to: 897 ab:aa=a,babb=b infinite a=a,b=b [02m00s] # 8624 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:127,nodes:12,pairs:5,completionMax:23us [02m00s] 8624 ab:aa=a,baabab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [02m00s] from: 8624 ab:aa=a,baabab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [02m00s] # 8625 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:5us [02m00s] 8625 ab:aa=a,baabab=b infinite ab - - ab:aa=a,babab=b [02m00s] from: 8625 ab:aa=a,baabab=b infinite to: 2889 ab:aa=a,babab=b infinite a=a,b=b [02m00s] # 8626 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3781,nodes:46,pairs:33,completionMax:170us [02m00s] 8626 ab:aa=a,baabbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [02m00s] from: 8626 ab:aa=a,baabbb=a infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [02m00s] # 8627 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:3us [02m00s] 8627 ab:aa=a,baabbb=b infinite ab - - ab:aa=a,babbb=b [02m00s] from: 8627 ab:aa=a,baabbb=b infinite to: 2891 ab:aa=a,babbb=b infinite a=a,b=b [02m00s] # 8628 solved: rounds:3,rules:4,peak:8,longest:8,steps:4,word:0,work:1277,nodes:32,pairs:48,completionMax:138us [02m00s] 8628 ab:aa=a,bababb=a infinite ab - - ab:aa=a,aba=ba,bba=abb,abbbb=a [02m00s] # 8629 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:4us [02m00s] 8629 ab:aa=a,bababb=b infinite ab - - ab:aa=a,bababb=b [02m00s] # 8630 solved: rounds:3,rules:3,peak:8,longest:7,steps:5,word:0,work:1356,nodes:30,pairs:31,completionMax:129us [02m00s] 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [02m00s] # 8631 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:135,nodes:18,pairs:2,completionMax:20us [02m00s] 8631 ab:aa=a,babbab=b infinite ab - - ab:aa=a,bbab=babb,bababb=b [02m00s] # 8632 solved: rounds:4,rules:3,peak:16,longest:21,steps:15,word:30,work:18469,nodes:52,pairs:139,completionMax:679us [02m00s] 8632 ab:aa=a,babbbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbb,aa=a [02m00s] # 8633 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [02m00s] 8633 ab:aa=a,babbbb=b infinite ab - - ab:aa=a,babbbb=b [02m00s] # 8634 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:114,nodes:14,pairs:5,completionMax:16us [02m00s] 8634 ab:aa=a,bbaabb=a infinite ab - - ab:aa=a,bba=abb,abbbb=a [02m00s] from: 8634 ab:aa=a,bbaabb=a infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [02m00s] # 8635 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:179,nodes:16,pairs:5,completionMax:19us [02m00s] 8635 ab:aa=a,bbaabb=b infinite ab - - ab:aa=a,bbab=babb,babbb=b [02m00s] from: 8635 ab:aa=a,bbaabb=b infinite to: 2893 ab:aa=a,bbabb=b infinite a=a,b=b [02m00s] # 8636 solved: rounds:2,rules:4,peak:8,longest:19,steps:15,word:30,work:5203,nodes:48,pairs:10,completionMax:143us [02m00s] 8636 ab:aa=a,bbabbb=a infinite b/a - - ab:abbbbbbbbbbbbbbb=a,bba=abbbbbbbbbbbb,aa=a,aba=abbbbbb [02m00s] # 8637 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1006,nodes:26,pairs:7,completionMax:58us [02m00s] 8637 ab:aa=a,bbabbb=b infinite ab - - ab:aa=a,bbab=babb,babbbb=b [02m00s] # 8638 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:10,work:182,nodes:24,pairs:2,completionMax:28us [02m00s] 8638 ab:aa=a,bbbbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b6;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbbb,bbbbbbb;smith:6 b/a - - ab:bbbbbbbbbbbb=bbbbbb,a=bbbbbb [02m00s] from: 8638 ab:aa=a,bbbbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b6;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbbb,bbbbbbb;smith:6 to: 6597 ab:aaa=b,bbbb=bb finite:12;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a6,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaaaa,aaaaaaaa;smith:6 a=aaaaaa,b=a [02m00s] # 8639 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:4us [02m00s] 8639 ab:aa=a,bbbbbb=b infinite ab - - ab:aa=a,bbbbbb=b [02m00s] # 8640 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 8640 ab:aa=b,aaaaaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [02m00s] from: 8640 ab:aa=b,aaaaaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [02m00s] # 8641 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:25,nodes:12,pairs:0,completionMax:6us [02m00s] 8641 ab:aa=b,aaaaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [02m00s] from: 8641 ab:aa=b,aaaaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [02m00s] # 8642 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:20,nodes:14,pairs:0,completionMax:4us [02m00s] 8642 ab:aa=b,aaaaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [02m00s] from: 8642 ab:aa=b,aaaaab=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [02m00s] # 8643 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:35,nodes:14,pairs:0,completionMax:8us [02m00s] 8643 ab:aa=b,aaaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8643 ab:aa=b,aaaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8644 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:19,nodes:14,pairs:0,completionMax:6us [02m00s] 8644 ab:aa=b,aaaaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [02m00s] from: 8644 ab:aa=b,aaaaba=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [02m00s] # 8645 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:34,nodes:14,pairs:0,completionMax:8us [02m00s] 8645 ab:aa=b,aaaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8645 ab:aa=b,aaaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8646 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:28,nodes:16,pairs:0,completionMax:13us [02m00s] 8646 ab:aa=b,aaaabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8646 ab:aa=b,aaaabb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8647 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:45,nodes:16,pairs:0,completionMax:8us [02m00s] 8647 ab:aa=b,aaaabb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8647 ab:aa=b,aaaabb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8648 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:18,nodes:14,pairs:0,completionMax:5us [02m00s] 8648 ab:aa=b,aaabaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [02m00s] from: 8648 ab:aa=b,aaabaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [02m00s] # 8649 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:33,nodes:14,pairs:0,completionMax:4us [02m00s] 8649 ab:aa=b,aaabaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8649 ab:aa=b,aaabaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8650 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:27,nodes:16,pairs:0,completionMax:5us [02m00s] 8650 ab:aa=b,aaabab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8650 ab:aa=b,aaabab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8651 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:44,nodes:16,pairs:0,completionMax:5us [02m00s] 8651 ab:aa=b,aaabab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8651 ab:aa=b,aaabab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8652 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:26,nodes:16,pairs:0,completionMax:4us [02m00s] 8652 ab:aa=b,aaabba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8652 ab:aa=b,aaabba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8653 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:43,nodes:16,pairs:0,completionMax:5us [02m00s] 8653 ab:aa=b,aaabba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8653 ab:aa=b,aaabba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8654 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:36,nodes:18,pairs:0,completionMax:4us [02m00s] 8654 ab:aa=b,aaabbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8654 ab:aa=b,aaabbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8655 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:55,nodes:18,pairs:0,completionMax:4us [02m00s] 8655 ab:aa=b,aaabbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8655 ab:aa=b,aaabbb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8656 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:26,nodes:16,pairs:0,completionMax:3us [02m00s] 8656 ab:aa=b,aabaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8656 ab:aa=b,aabaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8657 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:43,nodes:16,pairs:0,completionMax:4us [02m00s] 8657 ab:aa=b,aabaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8657 ab:aa=b,aabaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8658 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:25,nodes:16,pairs:0,completionMax:5us [02m00s] 8658 ab:aa=b,aababa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8658 ab:aa=b,aababa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8659 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:42,nodes:16,pairs:0,completionMax:4us [02m00s] 8659 ab:aa=b,aababa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8659 ab:aa=b,aababa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8660 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:35,nodes:18,pairs:0,completionMax:6us [02m00s] 8660 ab:aa=b,aababb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8660 ab:aa=b,aababb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8661 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:54,nodes:18,pairs:0,completionMax:5us [02m00s] 8661 ab:aa=b,aababb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8661 ab:aa=b,aababb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8662 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:24,nodes:16,pairs:0,completionMax:8us [02m00s] 8662 ab:aa=b,aabbaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8662 ab:aa=b,aabbaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8663 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:41,nodes:16,pairs:0,completionMax:7us [02m00s] 8663 ab:aa=b,aabbaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8663 ab:aa=b,aabbaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8664 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:34,nodes:18,pairs:0,completionMax:6us [02m00s] 8664 ab:aa=b,aabbab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8664 ab:aa=b,aabbab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8665 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:53,nodes:18,pairs:0,completionMax:6us [02m00s] 8665 ab:aa=b,aabbab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8665 ab:aa=b,aabbab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8666 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:33,nodes:18,pairs:0,completionMax:6us [02m00s] 8666 ab:aa=b,aabbba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8666 ab:aa=b,aabbba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8667 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:52,nodes:18,pairs:0,completionMax:7us [02m00s] 8667 ab:aa=b,aabbba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8667 ab:aa=b,aabbba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8668 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:44,nodes:20,pairs:0,completionMax:7us [02m00s] 8668 ab:aa=b,aabbbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8668 ab:aa=b,aabbbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8669 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:65,nodes:20,pairs:0,completionMax:8us [02m00s] 8669 ab:aa=b,aabbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8669 ab:aa=b,aabbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8670 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:25,nodes:16,pairs:0,completionMax:10us [02m00s] 8670 ab:aa=b,abaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8670 ab:aa=b,abaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8671 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:42,nodes:16,pairs:0,completionMax:5us [02m00s] 8671 ab:aa=b,abaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8671 ab:aa=b,abaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8672 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:24,nodes:16,pairs:0,completionMax:5us [02m00s] 8672 ab:aa=b,abaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8672 ab:aa=b,abaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8673 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:41,nodes:16,pairs:0,completionMax:9us [02m00s] 8673 ab:aa=b,abaaba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8673 ab:aa=b,abaaba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8674 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:34,nodes:18,pairs:0,completionMax:6us [02m00s] 8674 ab:aa=b,abaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8674 ab:aa=b,abaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8675 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:53,nodes:18,pairs:0,completionMax:7us [02m00s] 8675 ab:aa=b,abaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8675 ab:aa=b,abaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8676 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:33,nodes:18,pairs:0,completionMax:8us [02m00s] 8676 ab:aa=b,ababab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8676 ab:aa=b,ababab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8677 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:52,nodes:18,pairs:0,completionMax:9us [02m00s] 8677 ab:aa=b,ababab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8677 ab:aa=b,ababab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8678 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:32,nodes:18,pairs:0,completionMax:8us [02m00s] 8678 ab:aa=b,ababba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8678 ab:aa=b,ababba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8679 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:9us [02m00s] 8679 ab:aa=b,ababba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8679 ab:aa=b,ababba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8680 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:43,nodes:20,pairs:0,completionMax:10us [02m00s] 8680 ab:aa=b,ababbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8680 ab:aa=b,ababbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8681 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:64,nodes:20,pairs:0,completionMax:6us [02m00s] 8681 ab:aa=b,ababbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8681 ab:aa=b,ababbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8682 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:32,nodes:18,pairs:0,completionMax:5us [02m00s] 8682 ab:aa=b,abbaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8682 ab:aa=b,abbaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8683 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:11us [02m00s] 8683 ab:aa=b,abbaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8683 ab:aa=b,abbaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8684 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:42,nodes:20,pairs:0,completionMax:11us [02m00s] 8684 ab:aa=b,abbabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8684 ab:aa=b,abbabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8685 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:63,nodes:20,pairs:0,completionMax:8us [02m00s] 8685 ab:aa=b,abbabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8685 ab:aa=b,abbabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8686 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:41,nodes:20,pairs:0,completionMax:5us [02m00s] 8686 ab:aa=b,abbbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8686 ab:aa=b,abbbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8687 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:62,nodes:20,pairs:0,completionMax:5us [02m00s] 8687 ab:aa=b,abbbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8687 ab:aa=b,abbbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8688 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:40,nodes:20,pairs:0,completionMax:4us [02m00s] 8688 ab:aa=b,abbbba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8688 ab:aa=b,abbbba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8689 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:61,nodes:20,pairs:0,completionMax:5us [02m00s] 8689 ab:aa=b,abbbba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8689 ab:aa=b,abbbba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8690 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:52,nodes:22,pairs:0,completionMax:7us [02m00s] 8690 ab:aa=b,abbbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [02m00s] from: 8690 ab:aa=b,abbbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [02m00s] # 8691 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:75,nodes:22,pairs:0,completionMax:7us [02m00s] 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [02m00s] # 8692 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:24,nodes:16,pairs:0,completionMax:4us [02m00s] 8692 ab:aa=b,baaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [02m00s] from: 8692 ab:aa=b,baaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [02m00s] # 8693 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:41,nodes:16,pairs:0,completionMax:5us [02m00s] 8693 ab:aa=b,baaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8693 ab:aa=b,baaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8694 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:33,nodes:18,pairs:0,completionMax:9us [02m00s] 8694 ab:aa=b,baaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8694 ab:aa=b,baaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8695 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:52,nodes:18,pairs:0,completionMax:5us [02m00s] 8695 ab:aa=b,baaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8695 ab:aa=b,baaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8696 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:32,nodes:18,pairs:0,completionMax:8us [02m00s] 8696 ab:aa=b,baabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [02m00s] from: 8696 ab:aa=b,baabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [02m00s] # 8697 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:6us [02m00s] 8697 ab:aa=b,baabab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8697 ab:aa=b,baabab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8698 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:42,nodes:20,pairs:0,completionMax:12us [02m00s] 8698 ab:aa=b,baabbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8698 ab:aa=b,baabbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8699 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:63,nodes:20,pairs:0,completionMax:8us [02m00s] 8699 ab:aa=b,baabbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8699 ab:aa=b,baabbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8700 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:41,nodes:20,pairs:0,completionMax:6us [02m00s] 8700 ab:aa=b,bababb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8700 ab:aa=b,bababb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8701 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:62,nodes:20,pairs:0,completionMax:7us [02m00s] 8701 ab:aa=b,bababb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8701 ab:aa=b,bababb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8702 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:40,nodes:20,pairs:0,completionMax:6us [02m00s] 8702 ab:aa=b,babbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8702 ab:aa=b,babbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8703 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:61,nodes:20,pairs:0,completionMax:6us [02m00s] 8703 ab:aa=b,babbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8703 ab:aa=b,babbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8704 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:51,nodes:22,pairs:0,completionMax:7us [02m00s] 8704 ab:aa=b,babbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [02m00s] from: 8704 ab:aa=b,babbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [02m00s] # 8705 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:74,nodes:22,pairs:0,completionMax:5us [02m00s] 8705 ab:aa=b,babbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [02m00s] from: 8705 ab:aa=b,babbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [02m00s] # 8706 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:40,nodes:20,pairs:0,completionMax:5us [02m00s] 8706 ab:aa=b,bbaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [02m00s] from: 8706 ab:aa=b,bbaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [02m00s] # 8707 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:61,nodes:20,pairs:0,completionMax:5us [02m00s] 8707 ab:aa=b,bbaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8707 ab:aa=b,bbaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8708 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:50,nodes:22,pairs:0,completionMax:8us [02m00s] 8708 ab:aa=b,bbabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [02m00s] from: 8708 ab:aa=b,bbabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [02m00s] # 8709 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:73,nodes:22,pairs:0,completionMax:7us [02m00s] 8709 ab:aa=b,bbabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [02m00s] from: 8709 ab:aa=b,bbabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [02m00s] # 8710 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:60,nodes:24,pairs:0,completionMax:6us [02m00s] 8710 ab:aa=b,bbbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [02m00s] from: 8710 ab:aa=b,bbbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [02m00s] # 8711 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:85,nodes:24,pairs:0,completionMax:6us [02m00s] 8711 ab:aa=b,bbbbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [02m00s] from: 8711 ab:aa=b,bbbbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [02m00s] # 8712 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [02m00s] 8712 ab:ab=a,aaaaaa=a infinite ab - - ab:ab=a,aaaaaa=a [02m00s] # 8713 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:5us [02m00s] 8713 ab:ab=a,aaaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [02m00s] from: 8713 ab:ab=a,aaaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [02m00s] # 8714 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:0,completionMax:3us [02m00s] 8714 ab:ab=a,aaaaab=a infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8714 ab:ab=a,aaaaab=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8715 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:4us [02m00s] 8715 ab:ab=a,aaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [02m00s] from: 8715 ab:ab=a,aaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [02m00s] # 8716 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:2us [02m00s] 8716 ab:ab=a,aaaaba=a infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8716 ab:ab=a,aaaaba=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8717 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:12,pairs:1,completionMax:11us [02m00s] 8717 ab:ab=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [02m00s] from: 8717 ab:ab=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [02m00s] # 8718 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:3us [02m00s] 8718 ab:ab=a,aaaabb=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8718 ab:ab=a,aaaabb=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8719 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:5us [02m00s] 8719 ab:ab=a,aaaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8719 ab:ab=a,aaaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8720 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:10,pairs:0,completionMax:6us [02m00s] 8720 ab:ab=a,aaabaa=a infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8720 ab:ab=a,aaabaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8721 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:12,pairs:1,completionMax:8us [02m00s] 8721 ab:ab=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [02m00s] from: 8721 ab:ab=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [02m00s] # 8722 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:3us [02m00s] 8722 ab:ab=a,aaabab=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8722 ab:ab=a,aaabab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8723 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:19,nodes:10,pairs:1,completionMax:5us [02m00s] 8723 ab:ab=a,aaabab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8723 ab:ab=a,aaabab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8724 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [02m00s] 8724 ab:ab=a,aaabba=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8724 ab:ab=a,aaabba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8725 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:18,nodes:10,pairs:1,completionMax:5us [02m00s] 8725 ab:ab=a,aaabba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8725 ab:ab=a,aaabba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8726 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:6,pairs:0,completionMax:4us [02m00s] 8726 ab:ab=a,aaabbb=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8726 ab:ab=a,aaabbb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8727 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:20,nodes:8,pairs:1,completionMax:5us [02m00s] 8727 ab:ab=a,aaabbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8727 ab:ab=a,aaabbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8728 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:0,completionMax:4us [02m00s] 8728 ab:ab=a,aabaaa=a infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8728 ab:ab=a,aabaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8729 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:12,pairs:1,completionMax:6us [02m00s] 8729 ab:ab=a,aabaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [02m00s] from: 8729 ab:ab=a,aabaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [02m00s] # 8730 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [02m00s] 8730 ab:ab=a,aabaab=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8730 ab:ab=a,aabaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8731 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:18,nodes:10,pairs:1,completionMax:7us [02m00s] 8731 ab:ab=a,aabaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8731 ab:ab=a,aabaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8732 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:2us [02m00s] 8732 ab:ab=a,aababa=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8732 ab:ab=a,aababa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8733 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:5us [02m00s] 8733 ab:ab=a,aababa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8733 ab:ab=a,aababa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8734 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:6,pairs:0,completionMax:2us [02m00s] 8734 ab:ab=a,aababb=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8734 ab:ab=a,aababb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8735 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:19,nodes:8,pairs:1,completionMax:7us [02m00s] 8735 ab:ab=a,aababb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8735 ab:ab=a,aababb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8736 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:4us [02m00s] 8736 ab:ab=a,aabbaa=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8736 ab:ab=a,aabbaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8737 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:9us [02m00s] 8737 ab:ab=a,aabbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8737 ab:ab=a,aabbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8738 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:0,completionMax:2us [02m00s] 8738 ab:ab=a,aabbab=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8738 ab:ab=a,aabbab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8739 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:18,nodes:8,pairs:1,completionMax:6us [02m00s] 8739 ab:ab=a,aabbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8739 ab:ab=a,aabbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8740 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:20,nodes:6,pairs:0,completionMax:6us [02m00s] 8740 ab:ab=a,aabbba=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8740 ab:ab=a,aabbba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8741 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:17,nodes:8,pairs:1,completionMax:7us [02m00s] 8741 ab:ab=a,aabbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8741 ab:ab=a,aabbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8742 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:20,nodes:4,pairs:0,completionMax:2us [02m00s] 8742 ab:ab=a,aabbbb=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8742 ab:ab=a,aabbbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8743 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:18,nodes:6,pairs:1,completionMax:3us [02m00s] 8743 ab:ab=a,aabbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [02m00s] from: 8743 ab:ab=a,aabbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [02m00s] # 8744 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [02m00s] 8744 ab:ab=a,abaaaa=a infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8744 ab:ab=a,abaaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8745 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:12,pairs:1,completionMax:5us [02m00s] 8745 ab:ab=a,abaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [02m00s] from: 8745 ab:ab=a,abaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [02m00s] # 8746 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:2us [02m00s] 8746 ab:ab=a,abaaab=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8746 ab:ab=a,abaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8747 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:3us [02m00s] 8747 ab:ab=a,abaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8747 ab:ab=a,abaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8748 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:2us [02m00s] 8748 ab:ab=a,abaaba=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8748 ab:ab=a,abaaba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8749 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:3us [02m00s] 8749 ab:ab=a,abaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8749 ab:ab=a,abaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8750 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:0,completionMax:1us [02m00s] 8750 ab:ab=a,abaabb=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8750 ab:ab=a,abaabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8751 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:18,nodes:8,pairs:1,completionMax:3us [02m00s] 8751 ab:ab=a,abaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8751 ab:ab=a,abaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8752 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:2us [02m00s] 8752 ab:ab=a,ababaa=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8752 ab:ab=a,ababaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8753 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:5us [02m00s] 8753 ab:ab=a,ababaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8753 ab:ab=a,ababaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8754 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:20,nodes:6,pairs:0,completionMax:2us [02m00s] 8754 ab:ab=a,ababab=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8754 ab:ab=a,ababab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8755 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:17,nodes:8,pairs:1,completionMax:3us [02m00s] 8755 ab:ab=a,ababab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8755 ab:ab=a,ababab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8756 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:6,pairs:0,completionMax:2us [02m00s] 8756 ab:ab=a,ababba=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8756 ab:ab=a,ababba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8757 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:5us [02m00s] 8757 ab:ab=a,ababba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8757 ab:ab=a,ababba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8758 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:19,nodes:4,pairs:0,completionMax:4us [02m00s] 8758 ab:ab=a,ababbb=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8758 ab:ab=a,ababbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8759 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:17,nodes:6,pairs:1,completionMax:5us [02m00s] 8759 ab:ab=a,ababbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [02m00s] from: 8759 ab:ab=a,ababbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [02m00s] # 8760 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:5us [02m00s] 8760 ab:ab=a,abbaaa=a infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8760 ab:ab=a,abbaaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8761 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:5us [02m00s] 8761 ab:ab=a,abbaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [02m00s] from: 8761 ab:ab=a,abbaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [02m00s] # 8762 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:6,pairs:0,completionMax:3us [02m00s] 8762 ab:ab=a,abbaab=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8762 ab:ab=a,abbaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8763 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:8,pairs:1,completionMax:6us [02m00s] 8763 ab:ab=a,abbaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8763 ab:ab=a,abbaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8764 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:18,nodes:6,pairs:0,completionMax:2us [02m00s] 8764 ab:ab=a,abbaba=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8764 ab:ab=a,abbaba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8765 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:15,nodes:8,pairs:1,completionMax:4us [02m00s] 8765 ab:ab=a,abbaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8765 ab:ab=a,abbaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8766 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:0,completionMax:1us [02m00s] 8766 ab:ab=a,abbabb=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8766 ab:ab=a,abbabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8767 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:16,nodes:6,pairs:1,completionMax:4us [02m00s] 8767 ab:ab=a,abbabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [02m00s] from: 8767 ab:ab=a,abbabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [02m00s] # 8768 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:3us [02m00s] 8768 ab:ab=a,abbbaa=a infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8768 ab:ab=a,abbbaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8769 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:14,nodes:8,pairs:1,completionMax:4us [02m00s] 8769 ab:ab=a,abbbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [02m00s] from: 8769 ab:ab=a,abbbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [02m00s] # 8770 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:17,nodes:4,pairs:0,completionMax:3us [02m00s] 8770 ab:ab=a,abbbab=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8770 ab:ab=a,abbbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8771 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:15,nodes:6,pairs:1,completionMax:5us [02m00s] 8771 ab:ab=a,abbbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [02m00s] from: 8771 ab:ab=a,abbbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [02m00s] # 8772 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 8772 ab:ab=a,abbbba=a infinite ab - - ab:aa=a,ab=a [02m00s] from: 8772 ab:ab=a,abbbba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8773 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:14,nodes:6,pairs:1,completionMax:4us [02m00s] 8773 ab:ab=a,abbbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [02m00s] from: 8773 ab:ab=a,abbbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [02m00s] # 8774 solved: rounds:0,rules:1,peak:1,longest:2,steps:5,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 8774 ab:ab=a,abbbbb=a infinite ab - - ab:ab=a [02m00s] from: 8774 ab:ab=a,abbbbb=a infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 8775 solved: rounds:1,rules:2,peak:2,longest:2,steps:5,word:0,work:14,nodes:4,pairs:1,completionMax:3us [02m00s] 8775 ab:ab=a,abbbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [02m00s] from: 8775 ab:ab=a,abbbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [02m00s] # 8776 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:197,nodes:22,pairs:7,completionMax:35us [02m00s] 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [02m00s] # 8777 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:56,nodes:22,pairs:2,completionMax:10us [02m00s] 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [02m00s] # 8778 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:169,nodes:18,pairs:6,completionMax:46us [02m00s] 8778 ab:ab=a,baaaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [02m00s] from: 8778 ab:ab=a,baaaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 8779 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:55,nodes:18,pairs:2,completionMax:15us [02m00s] 8779 ab:ab=a,baaaab=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [02m00s] from: 8779 ab:ab=a,baaaab=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [02m00s] # 8780 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:168,nodes:18,pairs:6,completionMax:23us [02m00s] 8780 ab:ab=a,baaaba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [02m00s] from: 8780 ab:ab=a,baaaba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 8781 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:54,nodes:18,pairs:2,completionMax:7us [02m00s] 8781 ab:ab=a,baaaba=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [02m00s] from: 8781 ab:ab=a,baaaba=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [02m00s] # 8782 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:151,nodes:14,pairs:5,completionMax:26us [02m00s] 8782 ab:ab=a,baaabb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8782 ab:ab=a,baaabb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8783 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:52,nodes:14,pairs:2,completionMax:10us [02m00s] 8783 ab:ab=a,baaabb=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8783 ab:ab=a,baaabb=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8784 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:167,nodes:18,pairs:6,completionMax:27us [02m00s] 8784 ab:ab=a,baabaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [02m00s] from: 8784 ab:ab=a,baabaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 8785 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:53,nodes:18,pairs:2,completionMax:9us [02m00s] 8785 ab:ab=a,baabaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [02m00s] from: 8785 ab:ab=a,baabaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [02m00s] # 8786 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:150,nodes:14,pairs:5,completionMax:26us [02m00s] 8786 ab:ab=a,baabab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8786 ab:ab=a,baabab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8787 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:51,nodes:14,pairs:2,completionMax:11us [02m00s] 8787 ab:ab=a,baabab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8787 ab:ab=a,baabab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8788 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:5,completionMax:26us [02m00s] 8788 ab:ab=a,baabba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8788 ab:ab=a,baabba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8789 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:50,nodes:14,pairs:2,completionMax:8us [02m00s] 8789 ab:ab=a,baabba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8789 ab:ab=a,baabba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8790 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:93,nodes:10,pairs:3,completionMax:13us [02m00s] 8790 ab:ab=a,baabbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 8790 ab:ab=a,baabbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 8791 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:47,nodes:10,pairs:2,completionMax:7us [02m00s] 8791 ab:ab=a,baabbb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8791 ab:ab=a,baabbb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8792 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:166,nodes:18,pairs:6,completionMax:29us [02m00s] 8792 ab:ab=a,babaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [02m00s] from: 8792 ab:ab=a,babaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 8793 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:52,nodes:18,pairs:2,completionMax:9us [02m00s] 8793 ab:ab=a,babaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [02m00s] from: 8793 ab:ab=a,babaaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [02m00s] # 8794 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:5,completionMax:20us [02m00s] 8794 ab:ab=a,babaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8794 ab:ab=a,babaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8795 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:50,nodes:14,pairs:2,completionMax:8us [02m00s] 8795 ab:ab=a,babaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8795 ab:ab=a,babaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8796 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:148,nodes:14,pairs:5,completionMax:34us [02m00s] 8796 ab:ab=a,bababa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8796 ab:ab=a,bababa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8797 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:49,nodes:14,pairs:2,completionMax:8us [02m00s] 8797 ab:ab=a,bababa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8797 ab:ab=a,bababa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8798 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:92,nodes:10,pairs:3,completionMax:17us [02m00s] 8798 ab:ab=a,bababb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 8798 ab:ab=a,bababb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 8799 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:46,nodes:10,pairs:2,completionMax:16us [02m00s] 8799 ab:ab=a,bababb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8799 ab:ab=a,bababb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8800 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:147,nodes:14,pairs:5,completionMax:27us [02m00s] 8800 ab:ab=a,babbaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 8800 ab:ab=a,babbaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 8801 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:48,nodes:14,pairs:2,completionMax:11us [02m00s] 8801 ab:ab=a,babbaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8801 ab:ab=a,babbaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8802 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:91,nodes:10,pairs:3,completionMax:32us [02m00s] 8802 ab:ab=a,babbab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 8802 ab:ab=a,babbab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 8803 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:45,nodes:10,pairs:2,completionMax:10us [02m00s] 8803 ab:ab=a,babbab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8803 ab:ab=a,babbab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8804 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:90,nodes:10,pairs:3,completionMax:18us [02m00s] 8804 ab:ab=a,babbba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 8804 ab:ab=a,babbba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 8805 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:44,nodes:10,pairs:2,completionMax:10us [02m00s] 8805 ab:ab=a,babbba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8805 ab:ab=a,babbba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8806 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:6,pairs:0,completionMax:2us [02m00s] 8806 ab:ab=a,babbbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [02m00s] from: 8806 ab:ab=a,babbbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [02m00s] # 8807 solved: rounds:1,rules:4,peak:4,longest:2,steps:4,word:0,work:40,nodes:6,pairs:2,completionMax:6us [02m00s] 8807 ab:ab=a,babbbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [02m00s] from: 8807 ab:ab=a,babbbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [02m00s] # 8808 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:183,nodes:20,pairs:6,completionMax:29us [02m00s] 8808 ab:ab=a,bbaaaa=a infinite ab - - ab:ab=a,bba=a,aaaa=a [02m00s] # 8809 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:83,nodes:20,pairs:4,completionMax:19us [02m00s] 8809 ab:ab=a,bbaaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [02m00s] from: 8809 ab:ab=a,bbaaaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [02m00s] # 8810 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:165,nodes:16,pairs:5,completionMax:24us [02m00s] 8810 ab:ab=a,bbaaab=a infinite ab - - ab:ab=a,aaa=a,bba=a [02m00s] from: 8810 ab:ab=a,bbaaab=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [02m00s] # 8811 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:77,nodes:16,pairs:4,completionMax:18us [02m00s] 8811 ab:ab=a,bbaaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8811 ab:ab=a,bbaaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8812 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:164,nodes:16,pairs:5,completionMax:25us [02m00s] 8812 ab:ab=a,bbaaba=a infinite ab - - ab:ab=a,aaa=a,bba=a [02m00s] from: 8812 ab:ab=a,bbaaba=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [02m00s] # 8813 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:76,nodes:16,pairs:4,completionMax:15us [02m00s] 8813 ab:ab=a,bbaaba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8813 ab:ab=a,bbaaba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8814 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:101,nodes:12,pairs:3,completionMax:13us [02m00s] 8814 ab:ab=a,bbaabb=a infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 8814 ab:ab=a,bbaabb=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 8815 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:69,nodes:12,pairs:4,completionMax:10us [02m00s] 8815 ab:ab=a,bbaabb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8815 ab:ab=a,bbaabb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8816 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:163,nodes:16,pairs:5,completionMax:31us [02m00s] 8816 ab:ab=a,bbabaa=a infinite ab - - ab:ab=a,aaa=a,bba=a [02m00s] from: 8816 ab:ab=a,bbabaa=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [02m00s] # 8817 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:75,nodes:16,pairs:4,completionMax:17us [02m00s] 8817 ab:ab=a,bbabaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8817 ab:ab=a,bbabaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8818 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:100,nodes:12,pairs:3,completionMax:17us [02m00s] 8818 ab:ab=a,bbabab=a infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 8818 ab:ab=a,bbabab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 8819 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:68,nodes:12,pairs:4,completionMax:15us [02m00s] 8819 ab:ab=a,bbabab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8819 ab:ab=a,bbabab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8820 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:99,nodes:12,pairs:3,completionMax:19us [02m00s] 8820 ab:ab=a,bbabba=a infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 8820 ab:ab=a,bbabba=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 8821 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:4,completionMax:13us [02m00s] 8821 ab:ab=a,bbabba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8821 ab:ab=a,bbabba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8822 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:8,pairs:0,completionMax:3us [02m00s] 8822 ab:ab=a,bbabbb=a infinite ab - - ab:ab=a,bba=a [02m00s] from: 8822 ab:ab=a,bbabbb=a infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [02m00s] # 8823 solved: rounds:2,rules:4,peak:4,longest:3,steps:3,word:0,work:59,nodes:8,pairs:4,completionMax:13us [02m00s] 8823 ab:ab=a,bbabbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [02m00s] from: 8823 ab:ab=a,bbabbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [02m00s] # 8824 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:177,nodes:18,pairs:5,completionMax:32us [02m00s] 8824 ab:ab=a,bbbaaa=a infinite ab - - ab:ab=a,aaa=a,bbba=a [02m00s] # 8825 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:90,nodes:18,pairs:5,completionMax:14us [02m00s] 8825 ab:ab=a,bbbaaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [02m00s] from: 8825 ab:ab=a,bbbaaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [02m00s] # 8826 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:107,nodes:14,pairs:3,completionMax:14us [02m00s] 8826 ab:ab=a,bbbaab=a infinite ab - - ab:aa=a,ab=a,bbba=a [02m00s] from: 8826 ab:ab=a,bbbaab=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [02m00s] # 8827 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:81,nodes:14,pairs:5,completionMax:14us [02m00s] 8827 ab:ab=a,bbbaab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8827 ab:ab=a,bbbaab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8828 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:106,nodes:14,pairs:3,completionMax:23us [02m00s] 8828 ab:ab=a,bbbaba=a infinite ab - - ab:aa=a,ab=a,bbba=a [02m00s] from: 8828 ab:ab=a,bbbaba=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [02m00s] # 8829 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:80,nodes:14,pairs:5,completionMax:13us [02m00s] 8829 ab:ab=a,bbbaba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8829 ab:ab=a,bbbaba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8830 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:10,pairs:0,completionMax:2us [02m00s] 8830 ab:ab=a,bbbabb=a infinite ab - - ab:ab=a,bbba=a [02m00s] from: 8830 ab:ab=a,bbbabb=a infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [02m00s] # 8831 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:70,nodes:10,pairs:5,completionMax:10us [02m00s] 8831 ab:ab=a,bbbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [02m00s] from: 8831 ab:ab=a,bbbabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [02m00s] # 8832 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:111,nodes:16,pairs:3,completionMax:21us [02m00s] 8832 ab:ab=a,bbbbaa=a infinite ab - - ab:aa=a,ab=a,bbbba=a [02m00s] # 8833 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:95,nodes:16,pairs:6,completionMax:14us [02m00s] 8833 ab:ab=a,bbbbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [02m00s] from: 8833 ab:ab=a,bbbbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [02m00s] # 8834 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:12,pairs:0,completionMax:2us [02m00s] 8834 ab:ab=a,bbbbab=a infinite ab - - ab:ab=a,bbbba=a [02m00s] from: 8834 ab:ab=a,bbbbab=a infinite to: 2996 ab:ab=a,bbbba=a infinite a=a,b=b [02m00s] # 8835 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:83,nodes:12,pairs:6,completionMax:15us [02m00s] 8835 ab:ab=a,bbbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [02m00s] from: 8835 ab:ab=a,bbbbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [02m00s] # 8836 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:16,nodes:14,pairs:0,completionMax:6us [02m00s] 8836 ab:ab=a,bbbbba=a infinite ab - - ab:ab=a,bbbbba=a [02m00s] # 8837 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:0,work:98,nodes:14,pairs:7,completionMax:27us [02m00s] 8837 ab:ab=a,bbbbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [02m00s] from: 8837 ab:ab=a,bbbbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [02m00s] # 8838 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:5,work:295,nodes:14,pairs:1,completionMax:11us [02m00s] 8838 ab:ab=a,bbbbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b6;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: b/a - - ab:bbbbbbb=bbbbbb,a=bbbbbb [02m00s] from: 8838 ab:ab=a,bbbbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b6;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=bbbbbb,b=b [02m00s] # 8839 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:24,nodes:14,pairs:0,completionMax:5us [02m00s] 8839 ab:ab=a,bbbbbb=b infinite ab - - ab:ab=a,bbbbbb=b [02m00s] # 8840 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:14,nodes:4,pairs:0,completionMax:0us [02m00s] 8840 ab:aa=a,aaaaa=aa infinite ab - - ab:aa=a [02m00s] from: 8840 ab:aa=a,aaaaa=aa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 8841 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 8841 ab:aa=a,aaaaa=ab infinite ab - - ab:aa=a,ab=a [02m00s] from: 8841 ab:aa=a,aaaaa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8842 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:2,work:42,nodes:8,pairs:2,completionMax:10us [02m00s] 8842 ab:aa=a,aaaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [02m00s] from: 8842 ab:aa=a,aaaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bb,b=b [02m00s] # 8843 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 8843 ab:aa=a,aaaab=aa infinite ab - - ab:aa=a,ab=a [02m00s] from: 8843 ab:aa=a,aaaab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 8844 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 8844 ab:aa=a,aaaab=ab infinite ab - - ab:aa=a [02m00s] from: 8844 ab:aa=a,aaaab=ab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 8845 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:1us [02m00s] 8845 ab:aa=a,aaaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [02m00s] from: 8845 ab:aa=a,aaaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [02m00s] # 8846 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:45,nodes:8,pairs:1,completionMax:6us [02m00s] 8846 ab:aa=a,aaaab=bb finite:6;idempotents:1,a,bb,bba ba - - ab:ab=bb,aa=a,bbb=bb [02m00s] from: 8846 ab:aa=a,aaaab=bb finite:6;idempotents:1,a,bb,bba to: 958 ab:aa=a,aab=bb finite:6;idempotents:1,a,bb,bba a=a,b=b [02m00s] # 8847 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:3us [02m00s] 8847 ab:aa=a,aaaba=aa infinite ab - - ab:aa=a,aba=a [02m00s] from: 8847 ab:aa=a,aaaba=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 8848 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:59,nodes:9,pairs:5,completionMax:11us [02m00s] 8848 ab:aa=a,aaaba=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [02m00s] from: 8848 ab:aa=a,aaaba=ab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [02m00s] # 8849 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:70,nodes:12,pairs:5,completionMax:17us [02m00s] 8849 ab:aa=a,aaaba=ba infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [02m00s] from: 8849 ab:aa=a,aaaba=ba infinite to: 3009 ab:aa=a,aaba=ba infinite a=a,b=b,c=c [02m00s] # 8850 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:102,nodes:10,pairs:1,completionMax:8us [02m00s] 8850 ab:aa=a,aaaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [02m00s] from: 8850 ab:aa=a,aaaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba to: 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a=a,b=b [02m00s] # 8851 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:6us [02m00s] 8851 ab:aa=a,aaabb=aa infinite ab - - ab:aa=a,abb=a [02m00s] from: 8851 ab:aa=a,aaabb=aa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [02m00s] # 8852 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:2us [02m00s] 8852 ab:aa=a,aaabb=ab infinite ab - - ab:aa=a,abb=ab [02m00s] from: 8852 ab:aa=a,aaabb=ab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [02m00s] # 8853 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:91,nodes:12,pairs:1,completionMax:7us [02m00s] 8853 ab:aa=a,aaabb=ba infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [02m00s] from: 8853 ab:aa=a,aaabb=ba infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [02m00s] # 8854 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:0,completionMax:2us [02m00s] 8854 ab:aa=a,aaabb=bb infinite ab - - ab:aa=a,abb=bb [02m00s] from: 8854 ab:aa=a,aaabb=bb infinite to: 965 ab:aa=a,abb=bb infinite a=a,b=b [02m00s] # 8855 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:2us [02m00s] 8855 ab:aa=a,aabaa=aa infinite ab - - ab:aa=a,aba=a [02m00s] from: 8855 ab:aa=a,aabaa=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 8856 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:61,nodes:9,pairs:5,completionMax:11us [02m00s] 8856 ab:aa=a,aabaa=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [02m00s] from: 8856 ab:aa=a,aabaa=ab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [02m00s] # 8857 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:104,nodes:10,pairs:1,completionMax:8us [02m00s] 8857 ab:aa=a,aabaa=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [02m00s] from: 8857 ab:aa=a,aabaa=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba to: 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a=a,b=b [02m00s] # 8858 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:5,completionMax:13us [02m00s] 8858 ab:aa=a,aabab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 8858 ab:aa=a,aabab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 8859 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:0,completionMax:2us [02m00s] 8859 ab:aa=a,aabab=ab infinite ab - - ab:aa=a,abab=ab [02m00s] from: 8859 ab:aa=a,aabab=ab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [02m00s] # 8860 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:297,nodes:14,pairs:12,completionMax:34us [02m00s] 8860 ab:aa=a,aabab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [02m00s] from: 8860 ab:aa=a,aabab=ba infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [02m00s] # 8861 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:61,nodes:14,pairs:2,completionMax:12us [02m00s] 8861 ab:aa=a,aabab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [02m00s] from: 8861 ab:aa=a,aabab=bb infinite to: 3018 ab:aa=a,abab=bb infinite a=a,b=b [02m00s] # 8862 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:3us [02m00s] 8862 ab:aa=a,aabba=aa infinite ab - - ab:aa=a,abba=a [02m00s] from: 8862 ab:aa=a,aabba=aa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [02m00s] # 8863 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:252,nodes:10,pairs:10,completionMax:25us [02m00s] 8863 ab:aa=a,aabba=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [02m00s] from: 8863 ab:aa=a,aabba=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [02m00s] # 8864 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:286,nodes:14,pairs:10,completionMax:20us [02m00s] 8864 ab:aa=a,aabba=ba infinite ab - - ab:aa=a,aba=ba,bba=ba [02m00s] from: 8864 ab:aa=a,aabba=ba infinite to: 3020 ab:aa=a,abba=ab infinite anti:a=a,b=b [02m00s] # 8865 solved: rounds:1,rules:3,peak:4,longest:4,steps:1,word:0,work:61,nodes:12,pairs:3,completionMax:10us [02m00s] 8865 ab:aa=a,aabba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb [02m00s] from: 8865 ab:aa=a,aabba=bb infinite to: 3021 ab:aa=a,abba=bb infinite a=a,b=b [02m00s] # 8866 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:3us [02m00s] 8866 ab:aa=a,aabbb=aa infinite ab - - ab:aa=a,abbb=a [02m00s] from: 8866 ab:aa=a,aabbb=aa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [02m00s] # 8867 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 8867 ab:aa=a,aabbb=ab infinite ab - - ab:aa=a,abbb=ab [02m00s] from: 8867 ab:aa=a,aabbb=ab infinite to: 3023 ab:aa=a,abbb=ab infinite a=a,b=b [02m00s] # 8868 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:179,nodes:22,pairs:1,completionMax:12us [02m00s] 8868 ab:aa=a,aabbb=ba infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [02m00s] from: 8868 ab:aa=a,aabbb=ba infinite to: 3024 ab:aa=a,abbb=ba infinite a=a,b=b [02m00s] # 8869 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:10,pairs:2,completionMax:12us [02m00s] 8869 ab:aa=a,aabbb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [02m00s] from: 8869 ab:aa=a,aabbb=bb infinite to: 3025 ab:aa=a,abbb=bb infinite a=a,b=b [02m00s] # 8870 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:67,nodes:8,pairs:5,completionMax:13us [02m00s] 8870 ab:aa=a,abaab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 8870 ab:aa=a,abaab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 8871 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:8,pairs:0,completionMax:2us [02m00s] 8871 ab:aa=a,abaab=ab infinite ab - - ab:aa=a,abab=ab [02m00s] from: 8871 ab:aa=a,abaab=ab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [02m00s] # 8872 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:299,nodes:14,pairs:12,completionMax:28us [02m00s] 8872 ab:aa=a,abaab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [02m00s] from: 8872 ab:aa=a,abaab=ba infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [02m00s] # 8873 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:63,nodes:14,pairs:2,completionMax:10us [02m00s] 8873 ab:aa=a,abaab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [02m00s] from: 8873 ab:aa=a,abaab=bb infinite to: 3018 ab:aa=a,abab=bb infinite a=a,b=b [02m00s] # 8874 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:5us [02m00s] 8874 ab:aa=a,ababa=aa infinite ab - - ab:aa=a,ababa=a [02m00s] from: 8874 ab:aa=a,ababa=aa infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [02m00s] # 8875 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:465,nodes:14,pairs:18,completionMax:38us [02m00s] 8875 ab:aa=a,ababa=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [02m00s] from: 8875 ab:aa=a,ababa=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [02m00s] # 8876 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:80,nodes:14,pairs:4,completionMax:14us [02m00s] 8876 ab:aa=a,ababa=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,ababa=bb [02m00s] # 8877 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [02m00s] 8877 ab:aa=a,ababb=aa infinite ab - - ab:aa=a,ababb=a [02m00s] from: 8877 ab:aa=a,ababb=aa infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [02m00s] # 8878 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [02m00s] 8878 ab:aa=a,ababb=ab infinite ab - - ab:aa=a,ababb=ab [02m00s] # 8879 solved: rounds:3,rules:5,peak:5,longest:5,steps:2,word:0,work:201,nodes:18,pairs:8,completionMax:28us [02m00s] 8879 ab:aa=a,ababb=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,babb=ba,bbba=ba [02m00s] # 8880 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:54,nodes:10,pairs:2,completionMax:8us [02m00s] 8880 ab:aa=a,ababb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [02m00s] from: 8880 ab:aa=a,ababb=bb infinite to: 3025 ab:aa=a,abbb=bb infinite a=a,b=b [02m00s] # 8881 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:679,nodes:16,pairs:24,completionMax:73us [02m00s] 8881 ab:aa=a,abbab=aa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [02m00s] from: 8881 ab:aa=a,abbab=aa infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [02m00s] # 8882 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:10,pairs:0,completionMax:3us [02m00s] 8882 ab:aa=a,abbab=ab infinite ab - - ab:aa=a,abbab=ab [02m00s] # 8883 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:1148,nodes:26,pairs:23,completionMax:265us [02m00s] 8883 ab:aa=a,abbab=ba infinite ab - - ab:aa=a,aba=ba,bba=bab,babb=ba [02m00s] # 8884 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:367,nodes:18,pairs:6,completionMax:35us [02m00s] 8884 ab:aa=a,abbab=bb infinite ab - - ab:aa=a,abb=bb,bbab=bb,bbbb=bbb [02m00s] # 8885 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:5us [02m00s] 8885 ab:aa=a,abbba=aa infinite ab - - ab:aa=a,abbba=a [02m00s] from: 8885 ab:aa=a,abbba=aa infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [02m00s] # 8886 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:0,work:366,nodes:12,pairs:10,completionMax:42us [02m00s] 8886 ab:aa=a,abbba=ab infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=ab [02m00s] # 8887 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:151,nodes:14,pairs:7,completionMax:20us [02m00s] 8887 ab:aa=a,abbba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,bbb=bb [02m00s] # 8888 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [02m00s] 8888 ab:aa=a,abbbb=aa infinite ab - - ab:aa=a,abbbb=a [02m00s] from: 8888 ab:aa=a,abbbb=aa infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [02m00s] # 8889 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:4us [02m00s] 8889 ab:aa=a,abbbb=ab infinite ab - - ab:aa=a,abbbb=ab [02m00s] # 8890 solved: rounds:1,rules:3,peak:3,longest:17,steps:21,word:12,work:372,nodes:36,pairs:1,completionMax:18us [02m00s] 8890 ab:aa=a,abbbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbbb=abbbb,ba=abbbb,aa=a [02m00s] # 8891 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:45,nodes:12,pairs:2,completionMax:9us [02m00s] 8891 ab:aa=a,abbbb=bb infinite ab - - ab:aa=a,abb=bb,bbbb=bb [02m00s] # 8892 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:56,nodes:8,pairs:3,completionMax:14us [02m00s] 8892 ab:aa=a,baaab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [02m00s] from: 8892 ab:aa=a,baaab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [02m00s] # 8893 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [02m00s] 8893 ab:aa=a,baaab=ab infinite ab - - ab:aa=a,bab=ab [02m00s] from: 8893 ab:aa=a,baaab=ab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [02m00s] # 8894 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 8894 ab:aa=a,baaab=bb infinite ab - - ab:aa=a,bab=bb [02m00s] from: 8894 ab:aa=a,baaab=bb infinite to: 968 ab:aa=a,bab=bb infinite a=a,b=b [02m00s] # 8895 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:774,nodes:24,pairs:5,completionMax:44us [02m00s] 8895 ab:aa=a,baabb=aa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [02m00s] from: 8895 ab:aa=a,baabb=aa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [02m00s] # 8896 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:295,nodes:12,pairs:10,completionMax:25us [02m00s] 8896 ab:aa=a,baabb=ab infinite ab - - ab:aa=a,bab=abb,abbb=ab [02m00s] from: 8896 ab:aa=a,baabb=ab infinite to: 3030 ab:aa=a,babb=ab infinite a=a,b=b [02m00s] # 8897 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:2us [02m00s] 8897 ab:aa=a,baabb=ba infinite ab - - ab:aa=a,babb=ba [02m00s] from: 8897 ab:aa=a,baabb=ba infinite to: 3031 ab:aa=a,babb=ba infinite a=a,b=b [02m00s] # 8898 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:5us [02m00s] 8898 ab:aa=a,baabb=bb infinite ab - - ab:aa=a,babb=bb [02m00s] from: 8898 ab:aa=a,baabb=bb infinite to: 3032 ab:aa=a,babb=bb infinite a=a,b=b [02m00s] # 8899 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:126,nodes:12,pairs:5,completionMax:24us [02m00s] 8899 ab:aa=a,babab=aa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [02m00s] from: 8899 ab:aa=a,babab=aa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [02m00s] # 8900 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:123,nodes:16,pairs:4,completionMax:21us [02m00s] 8900 ab:aa=a,babab=ab infinite ab - - ab:aa=a,abab=bab,bbab=ab [02m00s] # 8901 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:84,nodes:16,pairs:1,completionMax:10us [02m00s] 8901 ab:aa=a,babab=bb infinite ab - - ab:aa=a,bbab=babb,babab=bb [02m00s] # 8902 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3780,nodes:46,pairs:33,completionMax:119us [02m00s] 8902 ab:aa=a,babbb=aa infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [02m00s] from: 8902 ab:aa=a,babbb=aa infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [02m00s] # 8903 solved: rounds:3,rules:3,peak:6,longest:8,steps:9,word:9,work:1335,nodes:28,pairs:12,completionMax:71us [02m00s] 8903 ab:aa=a,babbb=ab infinite b/a - - ab:abbbbbbb=ab,bab=abbbbb,aa=a [02m00s] # 8904 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:20,nodes:12,pairs:0,completionMax:4us [02m00s] 8904 ab:aa=a,babbb=ba infinite ab - - ab:aa=a,babbb=ba [02m00s] # 8905 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [02m00s] 8905 ab:aa=a,babbb=bb infinite ab - - ab:aa=a,babbb=bb [02m00s] # 8906 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:112,nodes:14,pairs:5,completionMax:17us [02m00s] 8906 ab:aa=a,bbabb=aa infinite ab - - ab:aa=a,bba=abb,abbbb=a [02m00s] from: 8906 ab:aa=a,bbabb=aa infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [02m00s] # 8907 solved: rounds:3,rules:4,peak:7,longest:6,steps:4,word:0,work:1178,nodes:30,pairs:20,completionMax:89us [02m00s] 8907 ab:aa=a,bbabb=ab infinite ab - - ab:aa=a,abab=abb,bbab=abbb,abbbb=ab [02m00s] # 8908 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:25,nodes:12,pairs:0,completionMax:3us [02m00s] 8908 ab:aa=a,bbabb=bb infinite ab - - ab:aa=a,bbabb=bb [02m00s] # 8909 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:8,work:135,nodes:20,pairs:2,completionMax:18us [02m00s] 8909 ab:aa=a,bbbbb=aa finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbbb [02m00s] from: 8909 ab:aa=a,bbbbb=aa finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbbb,b=b [02m00s] # 8910 solved: rounds:1,rules:3,peak:3,longest:9,steps:2,word:3,work:145,nodes:20,pairs:1,completionMax:10us [02m00s] 8910 ab:aa=a,bbbbb=ab finite:18;idempotents:1,a,bbbbbbbb,bbbbbbbba b/a - - ab:bbbbbbbbb=bbbbb,ab=bbbbb,aa=a [02m00s] # 8911 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [02m00s] 8911 ab:aa=a,bbbbb=bb infinite ab - - ab:aa=a,bbbbb=bb [02m00s] # 8912 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:0,completionMax:3us [02m00s] 8912 ab:aa=b,aaaaa=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [02m00s] from: 8912 ab:aa=b,aaaaa=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [02m00s] # 8913 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:42,nodes:10,pairs:0,completionMax:4us [02m00s] 8913 ab:aa=b,aaaaa=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [02m00s] from: 8913 ab:aa=b,aaaaa=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [02m00s] # 8914 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:104,nodes:10,pairs:0,completionMax:3us [02m00s] 8914 ab:aa=b,aaaaa=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 8914 ab:aa=b,aaaaa=bb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 8915 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:29,nodes:12,pairs:0,completionMax:3us [02m00s] 8915 ab:aa=b,aaaab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [02m00s] from: 8915 ab:aa=b,aaaab=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [02m00s] # 8916 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:43,nodes:12,pairs:0,completionMax:5us [02m00s] 8916 ab:aa=b,aaaab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 8916 ab:aa=b,aaaab=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8917 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:42,nodes:12,pairs:0,completionMax:5us [02m00s] 8917 ab:aa=b,aaaab=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 8917 ab:aa=b,aaaab=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8918 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:81,nodes:12,pairs:0,completionMax:4us [02m00s] 8918 ab:aa=b,aaaab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 8918 ab:aa=b,aaaab=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 8919 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:28,nodes:12,pairs:0,completionMax:3us [02m00s] 8919 ab:aa=b,aaaba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [02m00s] from: 8919 ab:aa=b,aaaba=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [02m00s] # 8920 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:42,nodes:12,pairs:0,completionMax:4us [02m00s] 8920 ab:aa=b,aaaba=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 8920 ab:aa=b,aaaba=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8921 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:41,nodes:12,pairs:0,completionMax:4us [02m00s] 8921 ab:aa=b,aaaba=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 8921 ab:aa=b,aaaba=ba finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8922 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:80,nodes:12,pairs:0,completionMax:4us [02m00s] 8922 ab:aa=b,aaaba=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 8922 ab:aa=b,aaaba=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 8923 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:38,nodes:14,pairs:0,completionMax:7us [02m00s] 8923 ab:aa=b,aaabb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8923 ab:aa=b,aaabb=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8924 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:54,nodes:14,pairs:0,completionMax:4us [02m00s] 8924 ab:aa=b,aaabb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8924 ab:aa=b,aaabb=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8925 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:53,nodes:14,pairs:0,completionMax:7us [02m00s] 8925 ab:aa=b,aaabb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8925 ab:aa=b,aaabb=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8926 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:84,nodes:14,pairs:0,completionMax:5us [02m00s] 8926 ab:aa=b,aaabb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8926 ab:aa=b,aaabb=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8927 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:27,nodes:12,pairs:0,completionMax:3us [02m00s] 8927 ab:aa=b,aabaa=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [02m00s] from: 8927 ab:aa=b,aabaa=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [02m00s] # 8928 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:41,nodes:12,pairs:0,completionMax:6us [02m00s] 8928 ab:aa=b,aabaa=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 8928 ab:aa=b,aabaa=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8929 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:79,nodes:12,pairs:0,completionMax:3us [02m00s] 8929 ab:aa=b,aabaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 8929 ab:aa=b,aabaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 8930 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:37,nodes:14,pairs:0,completionMax:5us [02m00s] 8930 ab:aa=b,aabab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8930 ab:aa=b,aabab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8931 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:53,nodes:14,pairs:0,completionMax:4us [02m00s] 8931 ab:aa=b,aabab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8931 ab:aa=b,aabab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8932 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:52,nodes:14,pairs:0,completionMax:4us [02m00s] 8932 ab:aa=b,aabab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8932 ab:aa=b,aabab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8933 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:83,nodes:14,pairs:0,completionMax:4us [02m00s] 8933 ab:aa=b,aabab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8933 ab:aa=b,aabab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8934 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:36,nodes:14,pairs:0,completionMax:5us [02m00s] 8934 ab:aa=b,aabba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8934 ab:aa=b,aabba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8935 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:52,nodes:14,pairs:0,completionMax:5us [02m00s] 8935 ab:aa=b,aabba=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8935 ab:aa=b,aabba=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8936 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:0,completionMax:9us [02m00s] 8936 ab:aa=b,aabba=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8936 ab:aa=b,aabba=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8937 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:82,nodes:14,pairs:0,completionMax:5us [02m00s] 8937 ab:aa=b,aabba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8937 ab:aa=b,aabba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8938 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:47,nodes:16,pairs:0,completionMax:6us [02m00s] 8938 ab:aa=b,aabbb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8938 ab:aa=b,aabbb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8939 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:65,nodes:16,pairs:0,completionMax:6us [02m00s] 8939 ab:aa=b,aabbb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8939 ab:aa=b,aabbb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8940 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:64,nodes:16,pairs:0,completionMax:5us [02m00s] 8940 ab:aa=b,aabbb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8940 ab:aa=b,aabbb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8941 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:83,nodes:16,pairs:0,completionMax:7us [02m00s] 8941 ab:aa=b,aabbb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8941 ab:aa=b,aabbb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8942 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:36,nodes:14,pairs:0,completionMax:5us [02m00s] 8942 ab:aa=b,abaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8942 ab:aa=b,abaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8943 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:52,nodes:14,pairs:0,completionMax:6us [02m00s] 8943 ab:aa=b,abaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8943 ab:aa=b,abaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8944 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:0,completionMax:5us [02m00s] 8944 ab:aa=b,abaab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8944 ab:aa=b,abaab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8945 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:82,nodes:14,pairs:0,completionMax:6us [02m00s] 8945 ab:aa=b,abaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8945 ab:aa=b,abaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8946 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:35,nodes:14,pairs:0,completionMax:4us [02m00s] 8946 ab:aa=b,ababa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8946 ab:aa=b,ababa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8947 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:0,completionMax:5us [02m00s] 8947 ab:aa=b,ababa=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8947 ab:aa=b,ababa=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8948 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:5us [02m00s] 8948 ab:aa=b,ababa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8948 ab:aa=b,ababa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8949 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:46,nodes:16,pairs:0,completionMax:5us [02m00s] 8949 ab:aa=b,ababb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8949 ab:aa=b,ababb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8950 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:64,nodes:16,pairs:0,completionMax:7us [02m00s] 8950 ab:aa=b,ababb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8950 ab:aa=b,ababb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8951 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:63,nodes:16,pairs:0,completionMax:4us [02m00s] 8951 ab:aa=b,ababb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8951 ab:aa=b,ababb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8952 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:82,nodes:16,pairs:0,completionMax:6us [02m00s] 8952 ab:aa=b,ababb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8952 ab:aa=b,ababb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8953 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:45,nodes:16,pairs:0,completionMax:6us [02m00s] 8953 ab:aa=b,abbab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8953 ab:aa=b,abbab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8954 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:63,nodes:16,pairs:0,completionMax:7us [02m00s] 8954 ab:aa=b,abbab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8954 ab:aa=b,abbab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8955 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:62,nodes:16,pairs:0,completionMax:6us [02m00s] 8955 ab:aa=b,abbab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8955 ab:aa=b,abbab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8956 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:81,nodes:16,pairs:0,completionMax:5us [02m00s] 8956 ab:aa=b,abbab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8956 ab:aa=b,abbab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8957 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:44,nodes:16,pairs:0,completionMax:5us [02m00s] 8957 ab:aa=b,abbba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8957 ab:aa=b,abbba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8958 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:62,nodes:16,pairs:0,completionMax:5us [02m00s] 8958 ab:aa=b,abbba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8958 ab:aa=b,abbba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8959 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:6us [02m00s] 8959 ab:aa=b,abbba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8959 ab:aa=b,abbba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8960 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:56,nodes:18,pairs:0,completionMax:5us [02m00s] 8960 ab:aa=b,abbbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8960 ab:aa=b,abbbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8961 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:76,nodes:18,pairs:0,completionMax:8us [02m00s] 8961 ab:aa=b,abbbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [02m00s] from: 8961 ab:aa=b,abbbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [02m00s] # 8962 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:75,nodes:18,pairs:0,completionMax:6us [02m00s] 8962 ab:aa=b,abbbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [02m00s] from: 8962 ab:aa=b,abbbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [02m00s] # 8963 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:96,nodes:18,pairs:0,completionMax:6us [02m00s] 8963 ab:aa=b,abbbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [02m00s] from: 8963 ab:aa=b,abbbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [02m00s] # 8964 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:35,nodes:14,pairs:0,completionMax:4us [02m00s] 8964 ab:aa=b,baaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [02m00s] from: 8964 ab:aa=b,baaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [02m00s] # 8965 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:0,completionMax:4us [02m00s] 8965 ab:aa=b,baaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 8965 ab:aa=b,baaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 8966 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:5us [02m00s] 8966 ab:aa=b,baaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 8966 ab:aa=b,baaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 8967 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:45,nodes:16,pairs:0,completionMax:7us [02m00s] 8967 ab:aa=b,baabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8967 ab:aa=b,baabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8968 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:63,nodes:16,pairs:0,completionMax:6us [02m00s] 8968 ab:aa=b,baabb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8968 ab:aa=b,baabb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8969 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:62,nodes:16,pairs:0,completionMax:4us [02m00s] 8969 ab:aa=b,baabb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8969 ab:aa=b,baabb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8970 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:81,nodes:16,pairs:0,completionMax:5us [02m00s] 8970 ab:aa=b,baabb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8970 ab:aa=b,baabb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8971 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:44,nodes:16,pairs:0,completionMax:5us [02m00s] 8971 ab:aa=b,babab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [02m00s] from: 8971 ab:aa=b,babab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [02m00s] # 8972 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:62,nodes:16,pairs:0,completionMax:7us [02m00s] 8972 ab:aa=b,babab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 8972 ab:aa=b,babab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 8973 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:6us [02m00s] 8973 ab:aa=b,babab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 8973 ab:aa=b,babab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 8974 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:55,nodes:18,pairs:0,completionMax:7us [02m00s] 8974 ab:aa=b,babbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8974 ab:aa=b,babbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8975 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:75,nodes:18,pairs:0,completionMax:6us [02m00s] 8975 ab:aa=b,babbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [02m00s] from: 8975 ab:aa=b,babbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [02m00s] # 8976 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:74,nodes:18,pairs:0,completionMax:5us [02m00s] 8976 ab:aa=b,babbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [02m00s] from: 8976 ab:aa=b,babbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [02m00s] # 8977 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:95,nodes:18,pairs:0,completionMax:7us [02m00s] 8977 ab:aa=b,babbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [02m00s] from: 8977 ab:aa=b,babbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [02m00s] # 8978 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:54,nodes:18,pairs:0,completionMax:5us [02m00s] 8978 ab:aa=b,bbabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [02m00s] from: 8978 ab:aa=b,bbabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [02m00s] # 8979 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:74,nodes:18,pairs:0,completionMax:10us [02m00s] 8979 ab:aa=b,bbabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [02m00s] from: 8979 ab:aa=b,bbabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [02m00s] # 8980 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:94,nodes:18,pairs:0,completionMax:6us [02m00s] 8980 ab:aa=b,bbabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [02m00s] from: 8980 ab:aa=b,bbabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [02m00s] # 8981 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:65,nodes:20,pairs:0,completionMax:7us [02m00s] 8981 ab:aa=b,bbbbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [02m00s] from: 8981 ab:aa=b,bbbbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [02m00s] # 8982 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:87,nodes:20,pairs:0,completionMax:6us [02m00s] 8982 ab:aa=b,bbbbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [02m00s] from: 8982 ab:aa=b,bbbbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [02m00s] # 8983 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:109,nodes:20,pairs:0,completionMax:6us [02m00s] 8983 ab:aa=b,bbbbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [02m00s] from: 8983 ab:aa=b,bbbbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [02m00s] # 8984 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:3us [02m00s] 8984 ab:ab=a,aaaaa=aa infinite ab - - ab:ab=a,aaaaa=aa [02m00s] # 8985 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:5us [02m00s] 8985 ab:ab=a,aaaaa=ab infinite ab - - ab:ab=a,aaaaa=a [02m00s] from: 8985 ab:ab=a,aaaaa=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [02m00s] # 8986 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:61,nodes:14,pairs:1,completionMax:10us [02m00s] 8986 ab:ab=a,aaaaa=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [02m00s] # 8987 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:126,nodes:22,pairs:6,completionMax:20us [02m00s] 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [02m00s] # 8988 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:4us [02m00s] 8988 ab:ab=a,aaaab=aa infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 8988 ab:ab=a,aaaab=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 8989 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:8,pairs:0,completionMax:2us [02m00s] 8989 ab:ab=a,aaaab=ab infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8989 ab:ab=a,aaaab=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8990 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:57,nodes:12,pairs:1,completionMax:8us [02m00s] 8990 ab:ab=a,aaaab=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [02m00s] from: 8990 ab:ab=a,aaaab=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [02m00s] # 8991 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:106,nodes:18,pairs:5,completionMax:17us [02m00s] 8991 ab:ab=a,aaaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [02m00s] from: 8991 ab:ab=a,aaaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [02m00s] # 8992 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:2us [02m00s] 8992 ab:ab=a,aaaba=aa infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 8992 ab:ab=a,aaaba=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 8993 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:0,completionMax:3us [02m00s] 8993 ab:ab=a,aaaba=ab infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 8993 ab:ab=a,aaaba=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 8994 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:56,nodes:12,pairs:1,completionMax:6us [02m00s] 8994 ab:ab=a,aaaba=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [02m00s] from: 8994 ab:ab=a,aaaba=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [02m00s] # 8995 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:105,nodes:18,pairs:5,completionMax:14us [02m00s] 8995 ab:ab=a,aaaba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [02m00s] from: 8995 ab:ab=a,aaaba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [02m00s] # 8996 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:2us [02m00s] 8996 ab:ab=a,aaabb=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 8996 ab:ab=a,aaabb=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 8997 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:0,completionMax:3us [02m00s] 8997 ab:ab=a,aaabb=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 8997 ab:ab=a,aaabb=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 8998 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:51,nodes:10,pairs:1,completionMax:7us [02m00s] 8998 ab:ab=a,aaabb=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 8998 ab:ab=a,aaabb=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 8999 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:86,nodes:14,pairs:4,completionMax:18us [02m00s] 8999 ab:ab=a,aaabb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 8999 ab:ab=a,aaabb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9000 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:26,nodes:8,pairs:0,completionMax:2us [02m00s] 9000 ab:ab=a,aabaa=aa infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 9000 ab:ab=a,aabaa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 9001 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:0,completionMax:4us [02m00s] 9001 ab:ab=a,aabaa=ab infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 9001 ab:ab=a,aabaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 9002 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:55,nodes:12,pairs:1,completionMax:8us [02m00s] 9002 ab:ab=a,aabaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [02m00s] from: 9002 ab:ab=a,aabaa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [02m00s] # 9003 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:104,nodes:18,pairs:5,completionMax:18us [02m00s] 9003 ab:ab=a,aabaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [02m00s] from: 9003 ab:ab=a,aabaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [02m00s] # 9004 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:2us [02m00s] 9004 ab:ab=a,aabab=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9004 ab:ab=a,aabab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9005 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:6,pairs:0,completionMax:2us [02m00s] 9005 ab:ab=a,aabab=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9005 ab:ab=a,aabab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9006 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:50,nodes:10,pairs:1,completionMax:8us [02m00s] 9006 ab:ab=a,aabab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9006 ab:ab=a,aabab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9007 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:85,nodes:14,pairs:4,completionMax:17us [02m00s] 9007 ab:ab=a,aabab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 9007 ab:ab=a,aabab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9008 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:3us [02m00s] 9008 ab:ab=a,aabba=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9008 ab:ab=a,aabba=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9009 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:3us [02m00s] 9009 ab:ab=a,aabba=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9009 ab:ab=a,aabba=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9010 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:49,nodes:10,pairs:1,completionMax:7us [02m00s] 9010 ab:ab=a,aabba=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9010 ab:ab=a,aabba=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9011 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:84,nodes:14,pairs:4,completionMax:21us [02m00s] 9011 ab:ab=a,aabba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 9011 ab:ab=a,aabba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9012 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9012 ab:ab=a,aabbb=aa infinite ab - - ab:ab=a [02m00s] from: 9012 ab:ab=a,aabbb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9013 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:19,nodes:4,pairs:0,completionMax:5us [02m00s] 9013 ab:ab=a,aabbb=ab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9013 ab:ab=a,aabbb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9014 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:8,pairs:1,completionMax:7us [02m00s] 9014 ab:ab=a,aabbb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9014 ab:ab=a,aabbb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9015 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:66,nodes:10,pairs:3,completionMax:19us [02m00s] 9015 ab:ab=a,aabbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [02m00s] from: 9015 ab:ab=a,aabbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9016 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:25,nodes:8,pairs:0,completionMax:3us [02m00s] 9016 ab:ab=a,abaaa=aa infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 9016 ab:ab=a,abaaa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 9017 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [02m00s] 9017 ab:ab=a,abaaa=ab infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 9017 ab:ab=a,abaaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 9018 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:54,nodes:12,pairs:1,completionMax:10us [02m00s] 9018 ab:ab=a,abaaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [02m00s] from: 9018 ab:ab=a,abaaa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [02m00s] # 9019 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:103,nodes:18,pairs:5,completionMax:23us [02m00s] 9019 ab:ab=a,abaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [02m00s] from: 9019 ab:ab=a,abaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [02m00s] # 9020 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:2us [02m00s] 9020 ab:ab=a,abaab=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9020 ab:ab=a,abaab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9021 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:4us [02m00s] 9021 ab:ab=a,abaab=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9021 ab:ab=a,abaab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9022 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:49,nodes:10,pairs:1,completionMax:8us [02m00s] 9022 ab:ab=a,abaab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9022 ab:ab=a,abaab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9023 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:84,nodes:14,pairs:4,completionMax:18us [02m00s] 9023 ab:ab=a,abaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 9023 ab:ab=a,abaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9024 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:29,nodes:6,pairs:0,completionMax:2us [02m00s] 9024 ab:ab=a,ababa=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9024 ab:ab=a,ababa=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9025 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:2us [02m00s] 9025 ab:ab=a,ababa=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9025 ab:ab=a,ababa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9026 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:48,nodes:10,pairs:1,completionMax:6us [02m00s] 9026 ab:ab=a,ababa=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9026 ab:ab=a,ababa=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9027 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:83,nodes:14,pairs:4,completionMax:16us [02m00s] 9027 ab:ab=a,ababa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 9027 ab:ab=a,ababa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9028 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9028 ab:ab=a,ababb=aa infinite ab - - ab:ab=a [02m00s] from: 9028 ab:ab=a,ababb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9029 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:18,nodes:4,pairs:0,completionMax:1us [02m00s] 9029 ab:ab=a,ababb=ab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9029 ab:ab=a,ababb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9030 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:49,nodes:8,pairs:1,completionMax:5us [02m00s] 9030 ab:ab=a,ababb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9030 ab:ab=a,ababb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9031 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:65,nodes:10,pairs:3,completionMax:12us [02m00s] 9031 ab:ab=a,ababb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [02m00s] from: 9031 ab:ab=a,ababb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9032 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:2us [02m00s] 9032 ab:ab=a,abbaa=aa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9032 ab:ab=a,abbaa=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9033 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:3us [02m00s] 9033 ab:ab=a,abbaa=ab infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9033 ab:ab=a,abbaa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9034 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:47,nodes:10,pairs:1,completionMax:5us [02m00s] 9034 ab:ab=a,abbaa=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9034 ab:ab=a,abbaa=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9035 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:82,nodes:14,pairs:4,completionMax:16us [02m00s] 9035 ab:ab=a,abbaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [02m00s] from: 9035 ab:ab=a,abbaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9036 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9036 ab:ab=a,abbab=aa infinite ab - - ab:ab=a [02m00s] from: 9036 ab:ab=a,abbab=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9037 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:17,nodes:4,pairs:0,completionMax:2us [02m00s] 9037 ab:ab=a,abbab=ab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9037 ab:ab=a,abbab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9038 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:48,nodes:8,pairs:1,completionMax:5us [02m00s] 9038 ab:ab=a,abbab=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9038 ab:ab=a,abbab=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9039 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:64,nodes:10,pairs:3,completionMax:15us [02m00s] 9039 ab:ab=a,abbab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [02m00s] from: 9039 ab:ab=a,abbab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9040 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 9040 ab:ab=a,abbba=aa infinite ab - - ab:ab=a [02m00s] from: 9040 ab:ab=a,abbba=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9041 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 9041 ab:ab=a,abbba=ab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9041 ab:ab=a,abbba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9042 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:47,nodes:8,pairs:1,completionMax:8us [02m00s] 9042 ab:ab=a,abbba=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9042 ab:ab=a,abbba=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9043 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:63,nodes:10,pairs:3,completionMax:14us [02m00s] 9043 ab:ab=a,abbba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [02m00s] from: 9043 ab:ab=a,abbba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9044 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 9044 ab:ab=a,abbbb=aa infinite ab - - ab:aa=a,ab=a [02m00s] from: 9044 ab:ab=a,abbbb=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9045 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9045 ab:ab=a,abbbb=ab infinite ab - - ab:ab=a [02m00s] from: 9045 ab:ab=a,abbbb=ab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9046 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:6,pairs:0,completionMax:2us [02m00s] 9046 ab:ab=a,abbbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [02m00s] from: 9046 ab:ab=a,abbbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [02m00s] # 9047 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:1,work:27,nodes:6,pairs:1,completionMax:4us [02m00s] 9047 ab:ab=a,abbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [02m00s] from: 9047 ab:ab=a,abbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [02m00s] # 9048 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:308,nodes:18,pairs:5,completionMax:36us [02m00s] 9048 ab:ab=a,baaaa=aa infinite ab - - ab:ab=a,baa=aa,aaaa=aa [02m00s] # 9049 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:165,nodes:18,pairs:6,completionMax:29us [02m00s] 9049 ab:ab=a,baaaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [02m00s] from: 9049 ab:ab=a,baaaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9050 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:58,nodes:18,pairs:1,completionMax:6us [02m00s] 9050 ab:ab=a,baaaa=ba infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [02m00s] # 9051 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:3,work:35,nodes:12,pairs:2,completionMax:7us [02m00s] 9051 ab:ab=a,baaaa=bb finite:10;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bb=baaaa [02m00s] # 9052 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:227,nodes:14,pairs:3,completionMax:23us [02m00s] 9052 ab:ab=a,baaab=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [02m00s] from: 9052 ab:ab=a,baaab=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [02m00s] # 9053 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:148,nodes:14,pairs:5,completionMax:23us [02m00s] 9053 ab:ab=a,baaab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 9053 ab:ab=a,baaab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9054 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:53,nodes:14,pairs:1,completionMax:8us [02m00s] 9054 ab:ab=a,baaab=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [02m00s] from: 9054 ab:ab=a,baaab=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [02m00s] # 9055 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:2,work:35,nodes:10,pairs:2,completionMax:6us [02m00s] 9055 ab:ab=a,baaab=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [02m00s] from: 9055 ab:ab=a,baaab=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [02m00s] # 9056 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:226,nodes:14,pairs:3,completionMax:20us [02m00s] 9056 ab:ab=a,baaba=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [02m00s] from: 9056 ab:ab=a,baaba=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [02m00s] # 9057 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:147,nodes:14,pairs:5,completionMax:30us [02m00s] 9057 ab:ab=a,baaba=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 9057 ab:ab=a,baaba=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9058 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:52,nodes:14,pairs:1,completionMax:10us [02m00s] 9058 ab:ab=a,baaba=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [02m00s] from: 9058 ab:ab=a,baaba=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [02m00s] # 9059 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:2,work:34,nodes:10,pairs:2,completionMax:10us [02m00s] 9059 ab:ab=a,baaba=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [02m00s] from: 9059 ab:ab=a,baaba=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [02m00s] # 9060 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [02m00s] 9060 ab:ab=a,baabb=aa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9060 ab:ab=a,baabb=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9061 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:91,nodes:10,pairs:3,completionMax:20us [02m00s] 9061 ab:ab=a,baabb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9061 ab:ab=a,baabb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9062 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:58,nodes:10,pairs:1,completionMax:8us [02m00s] 9062 ab:ab=a,baabb=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9062 ab:ab=a,baabb=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9063 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:1,work:33,nodes:8,pairs:2,completionMax:13us [02m00s] 9063 ab:ab=a,baabb=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [02m00s] from: 9063 ab:ab=a,baabb=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [02m00s] # 9064 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:225,nodes:14,pairs:3,completionMax:27us [02m00s] 9064 ab:ab=a,babaa=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [02m00s] from: 9064 ab:ab=a,babaa=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [02m00s] # 9065 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:146,nodes:14,pairs:5,completionMax:25us [02m00s] 9065 ab:ab=a,babaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 9065 ab:ab=a,babaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9066 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:51,nodes:14,pairs:1,completionMax:11us [02m00s] 9066 ab:ab=a,babaa=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [02m00s] from: 9066 ab:ab=a,babaa=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [02m00s] # 9067 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:2,work:33,nodes:10,pairs:2,completionMax:7us [02m00s] 9067 ab:ab=a,babaa=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [02m00s] from: 9067 ab:ab=a,babaa=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [02m00s] # 9068 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 9068 ab:ab=a,babab=aa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9068 ab:ab=a,babab=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9069 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:90,nodes:10,pairs:3,completionMax:17us [02m00s] 9069 ab:ab=a,babab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9069 ab:ab=a,babab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9070 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:57,nodes:10,pairs:1,completionMax:10us [02m00s] 9070 ab:ab=a,babab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9070 ab:ab=a,babab=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9071 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:1,work:32,nodes:8,pairs:2,completionMax:6us [02m00s] 9071 ab:ab=a,babab=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [02m00s] from: 9071 ab:ab=a,babab=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [02m00s] # 9072 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 9072 ab:ab=a,babba=aa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9072 ab:ab=a,babba=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9073 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:89,nodes:10,pairs:3,completionMax:15us [02m00s] 9073 ab:ab=a,babba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9073 ab:ab=a,babba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9074 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:56,nodes:10,pairs:1,completionMax:6us [02m00s] 9074 ab:ab=a,babba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9074 ab:ab=a,babba=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9075 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:1,work:31,nodes:8,pairs:2,completionMax:5us [02m00s] 9075 ab:ab=a,babba=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [02m00s] from: 9075 ab:ab=a,babba=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [02m00s] # 9076 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:8,pairs:1,completionMax:4us [02m00s] 9076 ab:ab=a,babbb=aa infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9076 ab:ab=a,babbb=aa infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9077 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:15,nodes:6,pairs:0,completionMax:1us [02m00s] 9077 ab:ab=a,babbb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [02m00s] from: 9077 ab:ab=a,babbb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [02m00s] # 9078 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9078 ab:ab=a,babbb=ba infinite ab - - ab:ab=a [02m00s] from: 9078 ab:ab=a,babbb=ba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9079 solved: rounds:1,rules:3,peak:3,longest:2,steps:3,word:0,work:30,nodes:6,pairs:2,completionMax:4us [02m00s] 9079 ab:ab=a,babbb=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [02m00s] from: 9079 ab:ab=a,babbb=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [02m00s] # 9080 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:235,nodes:16,pairs:3,completionMax:30us [02m00s] 9080 ab:ab=a,bbaaa=aa infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [02m00s] # 9081 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:161,nodes:16,pairs:5,completionMax:26us [02m00s] 9081 ab:ab=a,bbaaa=ab infinite ab - - ab:ab=a,aaa=a,bba=a [02m00s] from: 9081 ab:ab=a,bbaaa=ab infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [02m00s] # 9082 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:150,nodes:20,pairs:5,completionMax:30us [02m00s] 9082 ab:ab=a,bbaaa=ba infinite ab - - ab:ab=a,bba=ba,aaaa=aa,baaa=ba [02m00s] # 9083 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:83,nodes:16,pairs:2,completionMax:19us [02m00s] 9083 ab:ab=a,bbaaa=bb finite:11;idempotents:1,bb,aaa,baaa ab - - ab:ab=a,bbb=bb,aaaa=a,bbaaa=bb [02m00s] # 9084 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [02m00s] 9084 ab:ab=a,bbaab=aa infinite ab - - ab:ab=a,bbaa=aa [02m00s] from: 9084 ab:ab=a,bbaab=aa infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [02m00s] # 9085 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:98,nodes:12,pairs:3,completionMax:20us [02m00s] 9085 ab:ab=a,bbaab=ab infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 9085 ab:ab=a,bbaab=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 9086 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:109,nodes:14,pairs:3,completionMax:13us [02m00s] 9086 ab:ab=a,bbaab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [02m00s] from: 9086 ab:ab=a,bbaab=ba infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [02m00s] # 9087 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:80,nodes:12,pairs:2,completionMax:9us [02m00s] 9087 ab:ab=a,bbaab=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [02m00s] from: 9087 ab:ab=a,bbaab=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [02m00s] # 9088 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:1us [02m00s] 9088 ab:ab=a,bbaba=aa infinite ab - - ab:ab=a,bbaa=aa [02m00s] from: 9088 ab:ab=a,bbaba=aa infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [02m00s] # 9089 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:97,nodes:12,pairs:3,completionMax:15us [02m00s] 9089 ab:ab=a,bbaba=ab infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 9089 ab:ab=a,bbaba=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 9090 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:108,nodes:14,pairs:3,completionMax:13us [02m00s] 9090 ab:ab=a,bbaba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [02m00s] from: 9090 ab:ab=a,bbaba=ba infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [02m00s] # 9091 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:2,completionMax:7us [02m00s] 9091 ab:ab=a,bbaba=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [02m00s] from: 9091 ab:ab=a,bbaba=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [02m00s] # 9092 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:52,nodes:10,pairs:1,completionMax:4us [02m00s] 9092 ab:ab=a,bbabb=aa infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9092 ab:ab=a,bbabb=aa infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9093 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 9093 ab:ab=a,bbabb=ab infinite ab - - ab:ab=a,bba=a [02m00s] from: 9093 ab:ab=a,bbabb=ab infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [02m00s] # 9094 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:2us [02m00s] 9094 ab:ab=a,bbabb=ba infinite ab - - ab:ab=a,bba=ba [02m00s] from: 9094 ab:ab=a,bbabb=ba infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [02m00s] # 9095 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:75,nodes:8,pairs:2,completionMax:7us [02m00s] 9095 ab:ab=a,bbabb=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [02m00s] from: 9095 ab:ab=a,bbabb=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [02m00s] # 9096 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:12,nodes:12,pairs:0,completionMax:3us [02m00s] 9096 ab:ab=a,bbbaa=aa infinite ab - - ab:ab=a,bbbaa=aa [02m00s] # 9097 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:103,nodes:14,pairs:3,completionMax:18us [02m00s] 9097 ab:ab=a,bbbaa=ab infinite ab - - ab:aa=a,ab=a,bbba=a [02m00s] from: 9097 ab:ab=a,bbbaa=ab infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [02m00s] # 9098 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:114,nodes:16,pairs:3,completionMax:25us [02m00s] 9098 ab:ab=a,bbbaa=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bbba=ba [02m00s] # 9099 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:126,nodes:14,pairs:5,completionMax:14us [02m00s] 9099 ab:ab=a,bbbaa=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [02m00s] from: 9099 ab:ab=a,bbbaa=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [02m00s] # 9100 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:12,pairs:1,completionMax:7us [02m00s] 9100 ab:ab=a,bbbab=aa infinite ab - - ab:ab=a,aaa=aa,bbba=aa [02m00s] from: 9100 ab:ab=a,bbbab=aa infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [02m00s] # 9101 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:10,pairs:0,completionMax:3us [02m00s] 9101 ab:ab=a,bbbab=ab infinite ab - - ab:ab=a,bbba=a [02m00s] from: 9101 ab:ab=a,bbbab=ab infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [02m00s] # 9102 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:3us [02m00s] 9102 ab:ab=a,bbbab=ba infinite ab - - ab:ab=a,bbba=ba [02m00s] from: 9102 ab:ab=a,bbbab=ba infinite to: 3130 ab:ab=a,bbba=ba infinite a=a,b=b [02m00s] # 9103 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:116,nodes:10,pairs:5,completionMax:23us [02m00s] 9103 ab:ab=a,bbbab=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [02m00s] from: 9103 ab:ab=a,bbbab=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [02m00s] # 9104 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:52,nodes:14,pairs:1,completionMax:6us [02m00s] 9104 ab:ab=a,bbbba=aa infinite ab - - ab:ab=a,aaa=aa,bbbba=aa [02m00s] # 9105 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:15,nodes:12,pairs:0,completionMax:5us [02m00s] 9105 ab:ab=a,bbbba=ab infinite ab - - ab:ab=a,bbbba=a [02m00s] from: 9105 ab:ab=a,bbbba=ab infinite to: 2996 ab:ab=a,bbbba=a infinite a=a,b=b [02m00s] # 9106 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:16,nodes:12,pairs:0,completionMax:4us [02m00s] 9106 ab:ab=a,bbbba=ba infinite ab - - ab:ab=a,bbbba=ba [02m00s] # 9107 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:132,nodes:12,pairs:6,completionMax:29us [02m00s] 9107 ab:ab=a,bbbba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [02m00s] from: 9107 ab:ab=a,bbbba=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [02m00s] # 9108 solved: rounds:2,rules:4,peak:5,longest:5,steps:4,word:0,work:154,nodes:16,pairs:6,completionMax:25us [02m00s] 9108 ab:ab=a,bbbbb=aa finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbbb=aa [02m00s] # 9109 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:4,work:183,nodes:12,pairs:1,completionMax:12us [02m00s] 9109 ab:ab=a,bbbbb=ab finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: b/a - - ab:bbbbbb=bbbbb,a=bbbbb [02m00s] from: 9109 ab:ab=a,bbbbb=ab finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=bbbbb,b=b [02m00s] # 9110 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:3,work:312,nodes:14,pairs:2,completionMax:33us [02m00s] 9110 ab:ab=a,bbbbb=ba finite:7;idempotents:1,a,bbbbb b/a - - ab:bbbbbb=bbbbb,ab=a,ba=bbbbb,aa=a [02m00s] # 9111 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:32,nodes:12,pairs:0,completionMax:9us [02m00s] 9111 ab:ab=a,bbbbb=bb infinite ab - - ab:ab=a,bbbbb=bb [02m00s] # 9112 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:14,nodes:4,pairs:0,completionMax:1us [02m00s] 9112 ab:aa=a,aaaa=aaa infinite ab - - ab:aa=a [02m00s] from: 9112 ab:aa=a,aaaa=aaa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 9113 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 9113 ab:aa=a,aaaa=aab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9113 ab:aa=a,aaaa=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9114 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:6,pairs:0,completionMax:4us [02m00s] 9114 ab:aa=a,aaaa=aba infinite ab - - ab:aa=a,aba=a [02m00s] from: 9114 ab:aa=a,aaaa=aba infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 9115 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:0,completionMax:2us [02m00s] 9115 ab:aa=a,aaaa=abb infinite ab - - ab:aa=a,abb=a [02m00s] from: 9115 ab:aa=a,aaaa=abb infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [02m00s] # 9116 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:54,nodes:8,pairs:3,completionMax:11us [02m00s] 9116 ab:aa=a,aaaa=bab infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [02m00s] from: 9116 ab:aa=a,aaaa=bab infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [02m00s] # 9117 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:4,work:65,nodes:12,pairs:2,completionMax:10us [02m00s] 9117 ab:aa=a,aaaa=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbb [02m00s] from: 9117 ab:aa=a,aaaa=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [02m00s] # 9118 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 9118 ab:aa=a,aaab=aaa infinite ab - - ab:aa=a,ab=a [02m00s] from: 9118 ab:aa=a,aaab=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9119 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9119 ab:aa=a,aaab=aab infinite ab - - ab:aa=a [02m00s] from: 9119 ab:aa=a,aaab=aab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 9120 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:59,nodes:9,pairs:5,completionMax:11us [02m00s] 9120 ab:aa=a,aaab=aba infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [02m00s] from: 9120 ab:aa=a,aaab=aba infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [02m00s] # 9121 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:3us [02m00s] 9121 ab:aa=a,aaab=abb infinite ab - - ab:aa=a,abb=ab [02m00s] from: 9121 ab:aa=a,aaab=abb infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [02m00s] # 9122 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:3us [02m00s] 9122 ab:aa=a,aaab=baa infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [02m00s] from: 9122 ab:aa=a,aaab=baa infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [02m00s] # 9123 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:5us [02m00s] 9123 ab:aa=a,aaab=bab infinite ab - - ab:aa=a,bab=ab [02m00s] from: 9123 ab:aa=a,aaab=bab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [02m00s] # 9124 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:93,nodes:12,pairs:1,completionMax:8us [02m00s] 9124 ab:aa=a,aaab=bba infinite reversed:b/a - - ab:bbbba=bba,ab=bba,aa=a [02m00s] from: 9124 ab:aa=a,aaab=bba infinite to: 964 ab:aa=a,abb=ba infinite anti:a=a,b=b [02m00s] # 9125 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:69,nodes:12,pairs:1,completionMax:7us [02m00s] 9125 ab:aa=a,aaab=bbb finite:10;idempotents:1,a,bbbb,bbbba b/a - - ab:bbbbb=bbb,ab=bbb,aa=a [02m00s] from: 9125 ab:aa=a,aaab=bbb finite:10;idempotents:1,a,bbbb,bbbba to: 970 ab:aa=a,bbb=ab finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [02m00s] # 9126 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:5us [02m00s] 9126 ab:aa=a,aaba=aaa infinite ab - - ab:aa=a,aba=a [02m00s] from: 9126 ab:aa=a,aaba=aaa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [02m00s] # 9127 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:59,nodes:9,pairs:5,completionMax:13us [02m00s] 9127 ab:aa=a,aaba=aab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [02m00s] from: 9127 ab:aa=a,aaba=aab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [02m00s] # 9128 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:2us [02m00s] 9128 ab:aa=a,aaba=aba infinite ab - - ab:aa=a [02m00s] from: 9128 ab:aa=a,aaba=aba infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 9129 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:4us [02m00s] 9129 ab:aa=a,aaba=abb infinite ab - - ab:aa=a,abb=aba [02m00s] from: 9129 ab:aa=a,aaba=abb infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [02m00s] # 9130 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:71,nodes:12,pairs:5,completionMax:15us [02m00s] 9130 ab:aa=a,aaba=baa infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [02m00s] from: 9130 ab:aa=a,aaba=baa infinite to: 3009 ab:aa=a,aaba=ba infinite a=a,b=b,c=c [02m00s] # 9131 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:27,nodes:8,pairs:0,completionMax:3us [02m00s] 9131 ab:aa=a,aaba=bab infinite ab - - ab:aa=a,bab=aba [02m00s] from: 9131 ab:aa=a,aaba=bab infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [02m00s] # 9132 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 9132 ab:aa=a,aaba=bba infinite ab - - ab:aa=a,bba=aba [02m00s] from: 9132 ab:aa=a,aaba=bba infinite to: 3141 ab:aa=a,abb=aba infinite anti:a=a,b=b [02m00s] # 9133 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:239,nodes:18,pairs:5,completionMax:25us [02m00s] 9133 ab:aa=a,aaba=bbb infinite ba - - ab:aa=a,aba=bbb,bbba=bbb,abbb=bbb,bbbbbb=bbbb [02m00s] from: 9133 ab:aa=a,aaba=bbb infinite to: 3151 ab:aa=a,bbb=aba infinite a=a,b=b [02m00s] # 9134 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:2us [02m00s] 9134 ab:aa=a,aabb=aaa infinite ab - - ab:aa=a,abb=a [02m00s] from: 9134 ab:aa=a,aabb=aaa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [02m00s] # 9135 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:6,pairs:0,completionMax:2us [02m00s] 9135 ab:aa=a,aabb=aab infinite ab - - ab:aa=a,abb=ab [02m00s] from: 9135 ab:aa=a,aabb=aab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [02m00s] # 9136 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:4us [02m00s] 9136 ab:aa=a,aabb=aba infinite ab - - ab:aa=a,abb=aba [02m00s] from: 9136 ab:aa=a,aabb=aba infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [02m00s] # 9137 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:2us [02m00s] 9137 ab:aa=a,aabb=abb infinite ab - - ab:aa=a [02m00s] from: 9137 ab:aa=a,aabb=abb infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 9138 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:92,nodes:12,pairs:1,completionMax:9us [02m00s] 9138 ab:aa=a,aabb=baa infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [02m00s] from: 9138 ab:aa=a,aabb=baa infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [02m00s] # 9139 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:3us [02m00s] 9139 ab:aa=a,aabb=bab infinite ab - - ab:aa=a,bab=abb [02m00s] from: 9139 ab:aa=a,aabb=bab infinite to: 3147 ab:aa=a,bab=abb infinite a=a,b=b [02m00s] # 9140 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:1us [02m00s] 9140 ab:aa=a,aabb=bba infinite ab - - ab:aa=a,bba=abb [02m00s] from: 9140 ab:aa=a,aabb=bba infinite to: 3148 ab:aa=a,bba=abb infinite a=a,b=b [02m00s] # 9141 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:102,nodes:12,pairs:1,completionMax:8us [02m00s] 9141 ab:aa=a,aabb=bbb infinite ba - - ab:aa=a,abb=bbb,bbbb=bbb [02m00s] from: 9141 ab:aa=a,aabb=bbb infinite to: 3152 ab:aa=a,bbb=abb infinite a=a,b=b [02m00s] # 9142 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:5,completionMax:16us [02m00s] 9142 ab:aa=a,abab=aaa infinite ab - - ab:aa=a,aba=ab,abb=a [02m00s] from: 9142 ab:aa=a,abab=aaa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [02m00s] # 9143 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:0,completionMax:3us [02m00s] 9143 ab:aa=a,abab=aab infinite ab - - ab:aa=a,abab=ab [02m00s] from: 9143 ab:aa=a,abab=aab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [02m00s] # 9144 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:8,pairs:0,completionMax:2us [02m00s] 9144 ab:aa=a,abab=aba infinite ab - - ab:aa=a,abab=aba [02m00s] # 9145 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:53,nodes:12,pairs:5,completionMax:12us [02m00s] 9145 ab:aa=a,abab=abb infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,cb=cc [02m00s] # 9146 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:298,nodes:14,pairs:12,completionMax:34us [02m00s] 9146 ab:aa=a,abab=baa infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [02m00s] from: 9146 ab:aa=a,abab=baa infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [02m00s] # 9147 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:54,nodes:12,pairs:4,completionMax:12us [02m00s] 9147 ab:aa=a,abab=bab infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,bc=cc [02m00s] # 9148 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:155,nodes:10,pairs:1,completionMax:10us [02m00s] 9148 ab:aa=a,abab=bba infinite reversed:a/b - - ab:aa=a,bba=abab,ababa=abab [02m00s] # 9149 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:418,nodes:20,pairs:4,completionMax:28us [02m00s] 9149 ab:aa=a,abab=bbb infinite ab - - ab:aa=a,abab=bbb,abbb=bbb,bbbab=bbbb,bbbbb=bbbb [02m00s] # 9150 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:3us [02m00s] 9150 ab:aa=a,abba=aaa infinite ab - - ab:aa=a,abba=a [02m00s] from: 9150 ab:aa=a,abba=aaa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [02m00s] # 9151 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:252,nodes:10,pairs:10,completionMax:33us [02m00s] 9151 ab:aa=a,abba=aab infinite ab - - ab:aa=a,aba=ab,abb=ab [02m00s] from: 9151 ab:aa=a,abba=aab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [02m00s] # 9152 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:4us [02m00s] 9152 ab:aa=a,abba=aba infinite ab - - ab:aa=a,abba=aba [02m00s] # 9153 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:66,nodes:12,pairs:5,completionMax:11us [02m00s] 9153 ab:aa=a,abba=abb infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cba=cb,cbb=cbc [02m00s] # 9154 solved: rounds:1,rules:7,peak:7,longest:4,steps:3,word:0,work:154,nodes:21,pairs:6,completionMax:25us [02m00s] 9154 ab:aa=a,abba=bab infinite acb ba=c frequency:2/0 abc:aa=a,ca=c,cb=cc,ba=c,acc=cc,abc=cc,bcc=ccc [02m00s] # 9155 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:0,work:399,nodes:18,pairs:5,completionMax:25us [02m00s] 9155 ab:aa=a,abba=bbb infinite ab - - ab:aa=a,abba=bbb,abbb=bbb,bbba=bbb,bbbbbb=bbbbb [02m00s] # 9156 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [02m00s] 9156 ab:aa=a,abbb=aaa infinite ab - - ab:aa=a,abbb=a [02m00s] from: 9156 ab:aa=a,abbb=aaa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [02m00s] # 9157 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 9157 ab:aa=a,abbb=aab infinite ab - - ab:aa=a,abbb=ab [02m00s] from: 9157 ab:aa=a,abbb=aab infinite to: 3023 ab:aa=a,abbb=ab infinite a=a,b=b [02m00s] # 9158 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 9158 ab:aa=a,abbb=aba infinite ab - - ab:aa=a,abbb=aba [02m00s] # 9159 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 9159 ab:aa=a,abbb=abb infinite ab - - ab:aa=a,abbb=abb [02m00s] # 9160 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:180,nodes:22,pairs:1,completionMax:9us [02m00s] 9160 ab:aa=a,abbb=baa infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [02m00s] from: 9160 ab:aa=a,abbb=baa infinite to: 3024 ab:aa=a,abbb=ba infinite a=a,b=b [02m00s] # 9161 solved: rounds:1,rules:3,peak:3,longest:8,steps:12,word:3,work:220,nodes:20,pairs:1,completionMax:8us [02m00s] 9161 ab:aa=a,abbb=bab infinite b/a - - ab:abbbbbbb=abbbbb,bab=abbb,aa=a [02m00s] # 9162 solved: rounds:2,rules:4,peak:4,longest:10,steps:8,word:3,work:335,nodes:30,pairs:2,completionMax:17us [02m00s] 9162 ab:aa=a,abbb=bba infinite b/a - - ab:abbbbbbbbb=abbbbbb,bba=abbb,aa=a,ababbb=abbb [02m00s] # 9163 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:1us [02m00s] 9163 ab:aa=a,abbb=bbb infinite ab - - ab:aa=a,abbb=bbb [02m00s] # 9164 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:55,nodes:8,pairs:3,completionMax:13us [02m00s] 9164 ab:aa=a,baab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [02m00s] from: 9164 ab:aa=a,baab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [02m00s] # 9165 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:2us [02m00s] 9165 ab:aa=a,baab=aab infinite ab - - ab:aa=a,bab=ab [02m00s] from: 9165 ab:aa=a,baab=aab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [02m00s] # 9166 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:8,pairs:0,completionMax:3us [02m00s] 9166 ab:aa=a,baab=aba infinite ab - - ab:aa=a,bab=aba [02m00s] from: 9166 ab:aa=a,baab=aba infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [02m00s] # 9167 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:3us [02m00s] 9167 ab:aa=a,baab=abb infinite ab - - ab:aa=a,bab=abb [02m00s] from: 9167 ab:aa=a,baab=abb infinite to: 3147 ab:aa=a,bab=abb infinite a=a,b=b [02m00s] # 9168 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9168 ab:aa=a,baab=bab infinite ab - - ab:aa=a [02m00s] from: 9168 ab:aa=a,baab=bab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [02m00s] # 9169 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 9169 ab:aa=a,baab=bbb infinite ba - - ab:aa=a,bab=bbb [02m00s] from: 9169 ab:aa=a,baab=bbb infinite to: 3153 ab:aa=a,bbb=bab infinite a=a,b=b [02m00s] # 9170 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:773,nodes:24,pairs:5,completionMax:44us [02m00s] 9170 ab:aa=a,babb=aaa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [02m00s] from: 9170 ab:aa=a,babb=aaa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [02m00s] # 9171 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:294,nodes:12,pairs:10,completionMax:32us [02m00s] 9171 ab:aa=a,babb=aab infinite ab - - ab:aa=a,bab=abb,abbb=ab [02m00s] from: 9171 ab:aa=a,babb=aab infinite to: 3030 ab:aa=a,babb=ab infinite a=a,b=b [02m00s] # 9172 solved: rounds:3,rules:4,peak:4,longest:6,steps:4,word:0,work:353,nodes:22,pairs:4,completionMax:29us [02m00s] 9172 ab:aa=a,babb=aba infinite ab - - ab:aa=a,babb=aba,ababa=baba,bbaba=aba [02m00s] # 9173 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:30,nodes:10,pairs:0,completionMax:4us [02m00s] 9173 ab:aa=a,babb=abb infinite ab - - ab:aa=a,babb=abb [02m00s] # 9174 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:2us [02m00s] 9174 ab:aa=a,babb=baa infinite ab - - ab:aa=a,babb=ba [02m00s] from: 9174 ab:aa=a,babb=baa infinite to: 3031 ab:aa=a,babb=ba infinite a=a,b=b [02m00s] # 9175 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [02m00s] 9175 ab:aa=a,babb=bab infinite ab - - ab:aa=a,babb=bab [02m00s] # 9176 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:194,nodes:20,pairs:3,completionMax:16us [02m00s] 9176 ab:aa=a,babb=bba infinite ab - - ab:aa=a,babb=bba,bbaba=bbba,bbbba=bbba [02m00s] # 9177 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:4us [02m00s] 9177 ab:aa=a,babb=bbb infinite ab - - ab:aa=a,babb=bbb [02m00s] # 9178 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:6,work:96,nodes:16,pairs:2,completionMax:18us [02m00s] 9178 ab:aa=a,bbbb=aaa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbb=bbbb,a=bbbb [02m00s] from: 9178 ab:aa=a,bbbb=aaa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=bbbb,b=b [02m00s] # 9179 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:103,nodes:16,pairs:1,completionMax:10us [02m00s] 9179 ab:aa=a,bbbb=aab finite:14;idempotents:1,a,bbbbbb,bbbbbba b/a - - ab:bbbbbbb=bbbb,ab=bbbb,aa=a [02m00s] from: 9179 ab:aa=a,bbbb=aab finite:14;idempotents:1,a,bbbbbb,bbbbbba to: 3034 ab:aa=a,bbbb=ab finite:14;idempotents:1,a,bbbbbb,bbbbbba a=a,b=b [02m00s] # 9180 solved: rounds:2,rules:5,peak:5,longest:8,steps:2,word:1,work:361,nodes:24,pairs:5,completionMax:31us [02m00s] 9180 ab:aa=a,bbbb=aba infinite b/a - - ab:bbbbbbbb=bbbbb,abbbb=bbbb,bbbba=bbbb,aa=a,aba=bbbb [02m00s] # 9181 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:124,nodes:16,pairs:1,completionMax:14us [02m00s] 9181 ab:aa=a,bbbb=abb infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,aa=a [02m00s] # 9182 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:13,nodes:8,pairs:0,completionMax:4us [02m00s] 9182 ab:aa=a,bbbb=bab infinite b/a - - ab:bab=bbbb,aa=a [02m00s] # 9183 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:52,nodes:10,pairs:0,completionMax:4us [02m00s] 9183 ab:aa=a,bbbb=bbb infinite ab - - ab:aa=a,bbbb=bbb [02m00s] # 9184 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:48,nodes:8,pairs:0,completionMax:3us [02m00s] 9184 ab:aa=b,aaaa=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aa [02m00s] from: 9184 ab:aa=b,aaaa=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a2;saturation::;noncancellative:aa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bb [02m00s] # 9185 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:3,nodes:2,pairs:0,completionMax:0us [02m00s] 9185 ab:aa=b,aaaa=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9185 ab:aa=b,aaaa=aab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9186 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:2,nodes:2,pairs:0,completionMax:0us [02m00s] 9186 ab:aa=b,aaaa=aba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9186 ab:aa=b,aaaa=aba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9187 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:106,nodes:10,pairs:0,completionMax:4us [02m00s] 9187 ab:aa=b,aaaa=abb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9187 ab:aa=b,aaaa=abb finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9188 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:105,nodes:10,pairs:0,completionMax:5us [02m00s] 9188 ab:aa=b,aaaa=bab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9188 ab:aa=b,aaaa=bab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9189 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:3,work:81,nodes:12,pairs:0,completionMax:4us [02m00s] 9189 ab:aa=b,aaaa=bbb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9189 ab:aa=b,aaaa=bbb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9190 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:44,nodes:10,pairs:0,completionMax:4us [02m00s] 9190 ab:aa=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [02m00s] from: 9190 ab:aa=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [02m00s] # 9191 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:107,nodes:10,pairs:0,completionMax:5us [02m00s] 9191 ab:aa=b,aaab=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9191 ab:aa=b,aaab=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9192 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:106,nodes:10,pairs:0,completionMax:3us [02m00s] 9192 ab:aa=b,aaab=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9192 ab:aa=b,aaab=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9193 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:10,nodes:2,pairs:0,completionMax:1us [02m00s] 9193 ab:aa=b,aaab=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9193 ab:aa=b,aaab=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9194 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:105,nodes:10,pairs:0,completionMax:4us [02m00s] 9194 ab:aa=b,aaab=baa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9194 ab:aa=b,aaab=baa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9195 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:9,nodes:2,pairs:0,completionMax:1us [02m00s] 9195 ab:aa=b,aaab=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9195 ab:aa=b,aaab=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9196 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:8,nodes:2,pairs:0,completionMax:1us [02m00s] 9196 ab:aa=b,aaab=bba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9196 ab:aa=b,aaab=bba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9197 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:193,nodes:12,pairs:0,completionMax:5us [02m00s] 9197 ab:aa=b,aaab=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9197 ab:aa=b,aaab=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9198 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:43,nodes:10,pairs:0,completionMax:3us [02m00s] 9198 ab:aa=b,aaba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [02m00s] from: 9198 ab:aa=b,aaba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [02m00s] # 9199 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:106,nodes:10,pairs:0,completionMax:3us [02m00s] 9199 ab:aa=b,aaba=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9199 ab:aa=b,aaba=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9200 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:105,nodes:10,pairs:0,completionMax:3us [02m00s] 9200 ab:aa=b,aaba=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9200 ab:aa=b,aaba=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9201 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:9,nodes:2,pairs:0,completionMax:0us [02m00s] 9201 ab:aa=b,aaba=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9201 ab:aa=b,aaba=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9202 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:104,nodes:10,pairs:0,completionMax:5us [02m00s] 9202 ab:aa=b,aaba=baa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [02m00s] from: 9202 ab:aa=b,aaba=baa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [02m00s] # 9203 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:8,nodes:2,pairs:0,completionMax:1us [02m00s] 9203 ab:aa=b,aaba=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9203 ab:aa=b,aaba=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9204 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:7,nodes:2,pairs:0,completionMax:0us [02m00s] 9204 ab:aa=b,aaba=bba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9204 ab:aa=b,aaba=bba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9205 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:192,nodes:12,pairs:0,completionMax:6us [02m00s] 9205 ab:aa=b,aaba=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9205 ab:aa=b,aaba=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9206 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:44,nodes:12,pairs:0,completionMax:5us [02m00s] 9206 ab:aa=b,aabb=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 9206 ab:aa=b,aabb=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9207 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:83,nodes:12,pairs:0,completionMax:5us [02m00s] 9207 ab:aa=b,aabb=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9207 ab:aa=b,aabb=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9208 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:82,nodes:12,pairs:0,completionMax:4us [02m00s] 9208 ab:aa=b,aabb=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9208 ab:aa=b,aabb=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9209 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:194,nodes:12,pairs:0,completionMax:5us [02m00s] 9209 ab:aa=b,aabb=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9209 ab:aa=b,aabb=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9210 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:81,nodes:12,pairs:0,completionMax:5us [02m00s] 9210 ab:aa=b,aabb=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9210 ab:aa=b,aabb=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9211 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:193,nodes:12,pairs:0,completionMax:7us [02m00s] 9211 ab:aa=b,aabb=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9211 ab:aa=b,aabb=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9212 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:192,nodes:12,pairs:0,completionMax:6us [02m00s] 9212 ab:aa=b,aabb=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9212 ab:aa=b,aabb=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9213 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:17,nodes:2,pairs:0,completionMax:1us [02m00s] 9213 ab:aa=b,aabb=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9213 ab:aa=b,aabb=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9214 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:43,nodes:12,pairs:0,completionMax:4us [02m00s] 9214 ab:aa=b,abab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 9214 ab:aa=b,abab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9215 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:82,nodes:12,pairs:0,completionMax:3us [02m00s] 9215 ab:aa=b,abab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9215 ab:aa=b,abab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9216 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:81,nodes:12,pairs:0,completionMax:5us [02m00s] 9216 ab:aa=b,abab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9216 ab:aa=b,abab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9217 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:193,nodes:12,pairs:0,completionMax:6us [02m00s] 9217 ab:aa=b,abab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9217 ab:aa=b,abab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9218 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:80,nodes:12,pairs:0,completionMax:4us [02m00s] 9218 ab:aa=b,abab=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9218 ab:aa=b,abab=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9219 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:192,nodes:12,pairs:0,completionMax:7us [02m00s] 9219 ab:aa=b,abab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9219 ab:aa=b,abab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9220 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:6us [02m00s] 9220 ab:aa=b,abab=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9220 ab:aa=b,abab=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9221 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:16,nodes:2,pairs:0,completionMax:0us [02m00s] 9221 ab:aa=b,abab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9221 ab:aa=b,abab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9222 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:42,nodes:12,pairs:0,completionMax:4us [02m00s] 9222 ab:aa=b,abba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 9222 ab:aa=b,abba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9223 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:81,nodes:12,pairs:0,completionMax:5us [02m00s] 9223 ab:aa=b,abba=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9223 ab:aa=b,abba=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9224 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:80,nodes:12,pairs:0,completionMax:5us [02m00s] 9224 ab:aa=b,abba=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9224 ab:aa=b,abba=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9225 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:192,nodes:12,pairs:0,completionMax:5us [02m00s] 9225 ab:aa=b,abba=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9225 ab:aa=b,abba=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9226 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:6us [02m00s] 9226 ab:aa=b,abba=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9226 ab:aa=b,abba=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9227 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:15,nodes:2,pairs:0,completionMax:1us [02m00s] 9227 ab:aa=b,abba=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9227 ab:aa=b,abba=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9228 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:54,nodes:14,pairs:0,completionMax:3us [02m00s] 9228 ab:aa=b,abbb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 9228 ab:aa=b,abbb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 9229 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:85,nodes:14,pairs:0,completionMax:5us [02m00s] 9229 ab:aa=b,abbb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9229 ab:aa=b,abbb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9230 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:84,nodes:14,pairs:0,completionMax:6us [02m00s] 9230 ab:aa=b,abbb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9230 ab:aa=b,abbb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9231 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:144,nodes:14,pairs:0,completionMax:6us [02m00s] 9231 ab:aa=b,abbb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9231 ab:aa=b,abbb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9232 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:83,nodes:14,pairs:0,completionMax:9us [02m00s] 9232 ab:aa=b,abbb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9232 ab:aa=b,abbb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9233 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:143,nodes:14,pairs:0,completionMax:5us [02m00s] 9233 ab:aa=b,abbb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9233 ab:aa=b,abbb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9234 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:142,nodes:14,pairs:0,completionMax:5us [02m00s] 9234 ab:aa=b,abbb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9234 ab:aa=b,abbb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9235 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:315,nodes:14,pairs:0,completionMax:8us [02m00s] 9235 ab:aa=b,abbb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [02m00s] from: 9235 ab:aa=b,abbb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [02m00s] # 9236 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:42,nodes:12,pairs:0,completionMax:4us [02m00s] 9236 ab:aa=b,baab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [02m00s] from: 9236 ab:aa=b,baab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9237 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:81,nodes:12,pairs:0,completionMax:3us [02m00s] 9237 ab:aa=b,baab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9237 ab:aa=b,baab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9238 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:80,nodes:12,pairs:0,completionMax:3us [02m00s] 9238 ab:aa=b,baab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [02m00s] from: 9238 ab:aa=b,baab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9239 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:192,nodes:12,pairs:0,completionMax:6us [02m00s] 9239 ab:aa=b,baab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9239 ab:aa=b,baab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9240 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:4us [02m00s] 9240 ab:aa=b,baab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [02m00s] from: 9240 ab:aa=b,baab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [02m00s] # 9241 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:15,nodes:2,pairs:0,completionMax:0us [02m00s] 9241 ab:aa=b,baab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [02m00s] from: 9241 ab:aa=b,baab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [02m00s] # 9242 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:53,nodes:14,pairs:0,completionMax:5us [02m00s] 9242 ab:aa=b,babb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [02m00s] from: 9242 ab:aa=b,babb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [02m00s] # 9243 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:84,nodes:14,pairs:0,completionMax:6us [02m00s] 9243 ab:aa=b,babb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9243 ab:aa=b,babb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9244 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:83,nodes:14,pairs:0,completionMax:5us [02m00s] 9244 ab:aa=b,babb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9244 ab:aa=b,babb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9245 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:143,nodes:14,pairs:0,completionMax:6us [02m00s] 9245 ab:aa=b,babb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9245 ab:aa=b,babb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9246 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:82,nodes:14,pairs:0,completionMax:6us [02m00s] 9246 ab:aa=b,babb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [02m00s] from: 9246 ab:aa=b,babb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [02m00s] # 9247 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:142,nodes:14,pairs:0,completionMax:4us [02m00s] 9247 ab:aa=b,babb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9247 ab:aa=b,babb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9248 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:141,nodes:14,pairs:0,completionMax:7us [02m00s] 9248 ab:aa=b,babb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [02m00s] from: 9248 ab:aa=b,babb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [02m00s] # 9249 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:314,nodes:14,pairs:0,completionMax:7us [02m00s] 9249 ab:aa=b,babb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [02m00s] from: 9249 ab:aa=b,babb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [02m00s] # 9250 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:64,nodes:16,pairs:0,completionMax:5us [02m00s] 9250 ab:aa=b,bbbb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [02m00s] from: 9250 ab:aa=b,bbbb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [02m00s] # 9251 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:83,nodes:16,pairs:0,completionMax:5us [02m00s] 9251 ab:aa=b,bbbb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 9251 ab:aa=b,bbbb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 9252 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:82,nodes:16,pairs:0,completionMax:4us [02m00s] 9252 ab:aa=b,bbbb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [02m00s] from: 9252 ab:aa=b,bbbb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [02m00s] # 9253 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:134,nodes:16,pairs:0,completionMax:5us [02m00s] 9253 ab:aa=b,bbbb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [02m00s] from: 9253 ab:aa=b,bbbb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [02m00s] # 9254 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:133,nodes:16,pairs:0,completionMax:5us [02m00s] 9254 ab:aa=b,bbbb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [02m00s] from: 9254 ab:aa=b,bbbb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [02m00s] # 9255 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:217,nodes:16,pairs:0,completionMax:7us [02m00s] 9255 ab:aa=b,bbbb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [02m00s] from: 9255 ab:aa=b,bbbb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [02m00s] # 9256 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:56,nodes:8,pairs:0,completionMax:3us [02m00s] 9256 ab:ab=a,aaaa=aaa infinite ab - - ab:ab=a,aaaa=aaa [02m00s] # 9257 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:26,nodes:8,pairs:0,completionMax:3us [02m00s] 9257 ab:ab=a,aaaa=aab infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 9257 ab:ab=a,aaaa=aab infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 9258 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:25,nodes:8,pairs:0,completionMax:3us [02m00s] 9258 ab:ab=a,aaaa=aba infinite ab - - ab:ab=a,aaaa=aa [02m00s] from: 9258 ab:ab=a,aaaa=aba infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [02m00s] # 9259 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:8,pairs:0,completionMax:3us [02m00s] 9259 ab:ab=a,aaaa=abb infinite ab - - ab:ab=a,aaaa=a [02m00s] from: 9259 ab:ab=a,aaaa=abb infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [02m00s] # 9260 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:93,nodes:14,pairs:1,completionMax:10us [02m00s] 9260 ab:ab=a,aaaa=baa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [02m00s] # 9261 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:55,nodes:12,pairs:1,completionMax:8us [02m00s] 9261 ab:ab=a,aaaa=bab infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [02m00s] from: 9261 ab:ab=a,aaaa=bab infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [02m00s] # 9262 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:56,nodes:14,pairs:1,completionMax:8us [02m00s] 9262 ab:ab=a,aaaa=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [02m00s] # 9263 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:133,nodes:20,pairs:6,completionMax:21us [02m00s] 9263 ab:ab=a,aaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bbb=aaaa [02m00s] # 9264 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:0us [02m00s] 9264 ab:ab=a,aaab=aaa infinite ab - - ab:ab=a [02m00s] from: 9264 ab:ab=a,aaab=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9265 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:2us [02m00s] 9265 ab:ab=a,aaab=aab infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9265 ab:ab=a,aaab=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9266 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:4us [02m00s] 9266 ab:ab=a,aaab=aba infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9266 ab:ab=a,aaab=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9267 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:3us [02m00s] 9267 ab:ab=a,aaab=abb infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9267 ab:ab=a,aaab=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9268 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:108,nodes:12,pairs:1,completionMax:11us [02m00s] 9268 ab:ab=a,aaab=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [02m00s] from: 9268 ab:ab=a,aaab=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [02m00s] # 9269 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:50,nodes:10,pairs:1,completionMax:8us [02m00s] 9269 ab:ab=a,aaab=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9269 ab:ab=a,aaab=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9270 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:12,pairs:1,completionMax:8us [02m00s] 9270 ab:ab=a,aaab=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [02m00s] from: 9270 ab:ab=a,aaab=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [02m00s] # 9271 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:109,nodes:16,pairs:5,completionMax:21us [02m00s] 9271 ab:ab=a,aaab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [02m00s] from: 9271 ab:ab=a,aaab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9272 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 9272 ab:ab=a,aaba=aaa infinite ab - - ab:ab=a [02m00s] from: 9272 ab:ab=a,aaba=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9273 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:5us [02m00s] 9273 ab:ab=a,aaba=aab infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9273 ab:ab=a,aaba=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9274 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:29,nodes:6,pairs:0,completionMax:3us [02m00s] 9274 ab:ab=a,aaba=aba infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9274 ab:ab=a,aaba=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9275 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:0,completionMax:3us [02m00s] 9275 ab:ab=a,aaba=abb infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9275 ab:ab=a,aaba=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9276 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:107,nodes:12,pairs:1,completionMax:14us [02m00s] 9276 ab:ab=a,aaba=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [02m00s] from: 9276 ab:ab=a,aaba=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [02m00s] # 9277 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:49,nodes:10,pairs:1,completionMax:7us [02m00s] 9277 ab:ab=a,aaba=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9277 ab:ab=a,aaba=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9278 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:1,completionMax:9us [02m00s] 9278 ab:ab=a,aaba=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [02m00s] from: 9278 ab:ab=a,aaba=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [02m00s] # 9279 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:108,nodes:16,pairs:5,completionMax:23us [02m00s] 9279 ab:ab=a,aaba=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [02m00s] from: 9279 ab:ab=a,aaba=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9280 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:3us [02m00s] 9280 ab:ab=a,aabb=aaa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9280 ab:ab=a,aabb=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9281 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:0us [02m00s] 9281 ab:ab=a,aabb=aab infinite ab - - ab:ab=a [02m00s] from: 9281 ab:ab=a,aabb=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9282 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:0us [02m00s] 9282 ab:ab=a,aabb=aba infinite ab - - ab:ab=a [02m00s] from: 9282 ab:ab=a,aabb=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9283 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:18,nodes:4,pairs:0,completionMax:4us [02m00s] 9283 ab:ab=a,aabb=abb infinite ab - - ab:aa=a,ab=a [02m00s] from: 9283 ab:ab=a,aabb=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9284 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:3us [02m00s] 9284 ab:ab=a,aabb=baa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9284 ab:ab=a,aabb=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9285 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:50,nodes:8,pairs:1,completionMax:5us [02m00s] 9285 ab:ab=a,aabb=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9285 ab:ab=a,aabb=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9286 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:50,nodes:10,pairs:1,completionMax:5us [02m00s] 9286 ab:ab=a,aabb=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9286 ab:ab=a,aabb=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9287 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:85,nodes:12,pairs:4,completionMax:16us [02m00s] 9287 ab:ab=a,aabb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [02m00s] from: 9287 ab:ab=a,aabb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9288 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 9288 ab:ab=a,abaa=aaa infinite ab - - ab:ab=a [02m00s] from: 9288 ab:ab=a,abaa=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9289 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:29,nodes:6,pairs:0,completionMax:5us [02m00s] 9289 ab:ab=a,abaa=aab infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9289 ab:ab=a,abaa=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9290 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:3us [02m00s] 9290 ab:ab=a,abaa=aba infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9290 ab:ab=a,abaa=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9291 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:2us [02m00s] 9291 ab:ab=a,abaa=abb infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9291 ab:ab=a,abaa=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9292 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:106,nodes:12,pairs:1,completionMax:9us [02m00s] 9292 ab:ab=a,abaa=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [02m00s] from: 9292 ab:ab=a,abaa=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [02m00s] # 9293 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:48,nodes:10,pairs:1,completionMax:13us [02m00s] 9293 ab:ab=a,abaa=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9293 ab:ab=a,abaa=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9294 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:12,pairs:1,completionMax:9us [02m00s] 9294 ab:ab=a,abaa=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [02m00s] from: 9294 ab:ab=a,abaa=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [02m00s] # 9295 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:107,nodes:16,pairs:5,completionMax:25us [02m00s] 9295 ab:ab=a,abaa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [02m00s] from: 9295 ab:ab=a,abaa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [02m00s] # 9296 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:29,nodes:6,pairs:0,completionMax:3us [02m00s] 9296 ab:ab=a,abab=aaa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9296 ab:ab=a,abab=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9297 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9297 ab:ab=a,abab=aab infinite ab - - ab:ab=a [02m00s] from: 9297 ab:ab=a,abab=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9298 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9298 ab:ab=a,abab=aba infinite ab - - ab:ab=a [02m00s] from: 9298 ab:ab=a,abab=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9299 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:17,nodes:4,pairs:0,completionMax:2us [02m00s] 9299 ab:ab=a,abab=abb infinite ab - - ab:aa=a,ab=a [02m00s] from: 9299 ab:ab=a,abab=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9300 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 9300 ab:ab=a,abab=baa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9300 ab:ab=a,abab=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9301 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:49,nodes:8,pairs:1,completionMax:6us [02m00s] 9301 ab:ab=a,abab=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9301 ab:ab=a,abab=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9302 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:49,nodes:10,pairs:1,completionMax:11us [02m00s] 9302 ab:ab=a,abab=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9302 ab:ab=a,abab=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9303 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:84,nodes:12,pairs:4,completionMax:18us [02m00s] 9303 ab:ab=a,abab=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [02m00s] from: 9303 ab:ab=a,abab=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9304 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:6us [02m00s] 9304 ab:ab=a,abba=aaa infinite ab - - ab:ab=a,aaa=aa [02m00s] from: 9304 ab:ab=a,abba=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [02m00s] # 9305 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:2us [02m00s] 9305 ab:ab=a,abba=aab infinite ab - - ab:ab=a [02m00s] from: 9305 ab:ab=a,abba=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9306 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9306 ab:ab=a,abba=aba infinite ab - - ab:ab=a [02m00s] from: 9306 ab:ab=a,abba=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9307 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:16,nodes:4,pairs:0,completionMax:3us [02m00s] 9307 ab:ab=a,abba=abb infinite ab - - ab:aa=a,ab=a [02m00s] from: 9307 ab:ab=a,abba=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9308 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 9308 ab:ab=a,abba=baa infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9308 ab:ab=a,abba=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9309 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:48,nodes:8,pairs:1,completionMax:8us [02m00s] 9309 ab:ab=a,abba=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9309 ab:ab=a,abba=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9310 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:48,nodes:10,pairs:1,completionMax:8us [02m00s] 9310 ab:ab=a,abba=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9310 ab:ab=a,abba=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9311 solved: rounds:2,rules:4,peak:5,longest:3,steps:2,word:0,work:83,nodes:12,pairs:4,completionMax:19us [02m00s] 9311 ab:ab=a,abba=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [02m00s] from: 9311 ab:ab=a,abba=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9312 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:2us [02m00s] 9312 ab:ab=a,abbb=aaa infinite ab - - ab:ab=a,aaa=a [02m00s] from: 9312 ab:ab=a,abbb=aaa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [02m00s] # 9313 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:17,nodes:4,pairs:0,completionMax:2us [02m00s] 9313 ab:ab=a,abbb=aab infinite ab - - ab:aa=a,ab=a [02m00s] from: 9313 ab:ab=a,abbb=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9314 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:4,pairs:0,completionMax:2us [02m00s] 9314 ab:ab=a,abbb=aba infinite ab - - ab:aa=a,ab=a [02m00s] from: 9314 ab:ab=a,abbb=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [02m00s] # 9315 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9315 ab:ab=a,abbb=abb infinite ab - - ab:ab=a [02m00s] from: 9315 ab:ab=a,abbb=abb infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9316 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:87,nodes:10,pairs:3,completionMax:14us [02m00s] 9316 ab:ab=a,abbb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9316 ab:ab=a,abbb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9317 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:13,nodes:6,pairs:0,completionMax:2us [02m00s] 9317 ab:ab=a,abbb=bab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [02m00s] from: 9317 ab:ab=a,abbb=bab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [02m00s] # 9318 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 9318 ab:ab=a,abbb=bba infinite ab - - ab:ab=a,bba=a [02m00s] from: 9318 ab:ab=a,abbb=bba infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [02m00s] # 9319 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:55,nodes:8,pairs:1,completionMax:5us [02m00s] 9319 ab:ab=a,abbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [02m00s] from: 9319 ab:ab=a,abbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [02m00s] # 9320 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:2us [02m00s] 9320 ab:ab=a,baaa=aaa infinite ab - - ab:ab=a,baaa=aaa [02m00s] # 9321 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:225,nodes:14,pairs:3,completionMax:18us [02m00s] 9321 ab:ab=a,baaa=aab infinite ab - - ab:ab=a,aaa=aa,baa=aa [02m00s] from: 9321 ab:ab=a,baaa=aab infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [02m00s] # 9322 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:224,nodes:14,pairs:3,completionMax:14us [02m00s] 9322 ab:ab=a,baaa=aba infinite ab - - ab:ab=a,aaa=aa,baa=aa [02m00s] from: 9322 ab:ab=a,baaa=aba infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [02m00s] # 9323 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:145,nodes:14,pairs:5,completionMax:18us [02m00s] 9323 ab:ab=a,baaa=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [02m00s] from: 9323 ab:ab=a,baaa=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9324 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:114,nodes:14,pairs:1,completionMax:6us [02m00s] 9324 ab:ab=a,baaa=baa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [02m00s] # 9325 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:51,nodes:14,pairs:1,completionMax:4us [02m00s] 9325 ab:ab=a,baaa=bab infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [02m00s] from: 9325 ab:ab=a,baaa=bab infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [02m00s] # 9326 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:53,nodes:12,pairs:1,completionMax:5us [02m00s] 9326 ab:ab=a,baaa=bba infinite a/b - - ab:aaaa=aa,ab=a,bba=baaa [02m00s] # 9327 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:1,work:162,nodes:16,pairs:5,completionMax:21us [02m00s] 9327 ab:ab=a,baaa=bbb finite:9;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bba=ba,bbb=baaa [02m00s] # 9328 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:108,nodes:12,pairs:1,completionMax:10us [02m00s] 9328 ab:ab=a,baab=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [02m00s] from: 9328 ab:ab=a,baab=aaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [02m00s] # 9329 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:1us [02m00s] 9329 ab:ab=a,baab=aab infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9329 ab:ab=a,baab=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9330 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:1us [02m00s] 9330 ab:ab=a,baab=aba infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9330 ab:ab=a,baab=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9331 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:89,nodes:10,pairs:3,completionMax:15us [02m00s] 9331 ab:ab=a,baab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9331 ab:ab=a,baab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9332 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 9332 ab:ab=a,baab=baa infinite ab - - ab:ab=a [02m00s] from: 9332 ab:ab=a,baab=baa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9333 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:57,nodes:10,pairs:1,completionMax:9us [02m00s] 9333 ab:ab=a,baab=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9333 ab:ab=a,baab=bab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9334 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:1,completionMax:4us [02m00s] 9334 ab:ab=a,baab=bba infinite ab - - ab:ab=a,aaa=aa,bba=baa [02m00s] from: 9334 ab:ab=a,baab=bba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [02m00s] # 9335 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:136,nodes:12,pairs:4,completionMax:12us [02m00s] 9335 ab:ab=a,baab=bbb finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [02m00s] from: 9335 ab:ab=a,baab=bbb finite:7;idempotents:1,aa,baa to: 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa a=a,b=b [02m00s] # 9336 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:107,nodes:12,pairs:1,completionMax:8us [02m00s] 9336 ab:ab=a,baba=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [02m00s] from: 9336 ab:ab=a,baba=aaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [02m00s] # 9337 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:1us [02m00s] 9337 ab:ab=a,baba=aab infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9337 ab:ab=a,baba=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9338 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 9338 ab:ab=a,baba=aba infinite ab - - ab:ab=a,baa=aa [02m00s] from: 9338 ab:ab=a,baba=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [02m00s] # 9339 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:88,nodes:10,pairs:3,completionMax:11us [02m00s] 9339 ab:ab=a,baba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [02m00s] from: 9339 ab:ab=a,baba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [02m00s] # 9340 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 9340 ab:ab=a,baba=baa infinite ab - - ab:ab=a [02m00s] from: 9340 ab:ab=a,baba=baa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9341 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:56,nodes:10,pairs:1,completionMax:7us [02m00s] 9341 ab:ab=a,baba=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9341 ab:ab=a,baba=bab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9342 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:1,completionMax:5us [02m00s] 9342 ab:ab=a,baba=bba infinite ab - - ab:ab=a,aaa=aa,bba=baa [02m00s] from: 9342 ab:ab=a,baba=bba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [02m00s] # 9343 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:135,nodes:12,pairs:4,completionMax:21us [02m00s] 9343 ab:ab=a,baba=bbb finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [02m00s] from: 9343 ab:ab=a,baba=bbb finite:7;idempotents:1,aa,baa to: 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa a=a,b=b [02m00s] # 9344 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:49,nodes:10,pairs:1,completionMax:7us [02m00s] 9344 ab:ab=a,babb=aaa infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [02m00s] from: 9344 ab:ab=a,babb=aaa infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [02m00s] # 9345 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:50,nodes:8,pairs:1,completionMax:5us [02m00s] 9345 ab:ab=a,babb=aab infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9345 ab:ab=a,babb=aab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9346 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:49,nodes:8,pairs:1,completionMax:4us [02m00s] 9346 ab:ab=a,babb=aba infinite ab - - ab:ab=a,ba=aa,aaa=aa [02m00s] from: 9346 ab:ab=a,babb=aba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [02m00s] # 9347 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:14,nodes:6,pairs:0,completionMax:1us [02m00s] 9347 ab:ab=a,babb=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [02m00s] from: 9347 ab:ab=a,babb=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [02m00s] # 9348 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:56,nodes:10,pairs:1,completionMax:5us [02m00s] 9348 ab:ab=a,babb=baa infinite ab - - ab:ab=a,aaa=aa,baa=ba [02m00s] from: 9348 ab:ab=a,babb=baa infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [02m00s] # 9349 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9349 ab:ab=a,babb=bab infinite ab - - ab:ab=a [02m00s] from: 9349 ab:ab=a,babb=bab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9350 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:3us [02m00s] 9350 ab:ab=a,babb=bba infinite ab - - ab:ab=a,bba=ba [02m00s] from: 9350 ab:ab=a,babb=bba infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [02m00s] # 9351 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:1,work:120,nodes:10,pairs:2,completionMax:12us [02m00s] 9351 ab:ab=a,babb=bbb finite:5;idempotents:1,a,bbb b/a - - ab:bbbb=bbb,ab=a,ba=bbb,aa=a [02m00s] from: 9351 ab:ab=a,babb=bbb finite:5;idempotents:1,a,bbb to: 1022 ab:ab=a,bbb=ba finite:5;idempotents:1,a,bbb a=a,b=b [02m00s] # 9352 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:106,nodes:14,pairs:1,completionMax:10us [02m00s] 9352 ab:ab=a,bbaa=aaa infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [02m00s] # 9353 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:6us [02m00s] 9353 ab:ab=a,bbaa=aab infinite ab - - ab:ab=a,bbaa=aa [02m00s] from: 9353 ab:ab=a,bbaa=aab infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [02m00s] # 9354 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [02m00s] 9354 ab:ab=a,bbaa=aba infinite ab - - ab:ab=a,bbaa=aa [02m00s] from: 9354 ab:ab=a,bbaa=aba infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [02m00s] # 9355 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:95,nodes:12,pairs:3,completionMax:21us [02m00s] 9355 ab:ab=a,bbaa=abb infinite ab - - ab:aa=a,ab=a,bba=a [02m00s] from: 9355 ab:ab=a,bbaa=abb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [02m00s] # 9356 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [02m00s] 9356 ab:ab=a,bbaa=baa infinite ab - - ab:ab=a,bbaa=baa [02m00s] # 9357 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:107,nodes:14,pairs:3,completionMax:16us [02m00s] 9357 ab:ab=a,bbaa=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [02m00s] from: 9357 ab:ab=a,bbaa=bab infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [02m00s] # 9358 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:62,nodes:12,pairs:1,completionMax:8us [02m00s] 9358 ab:ab=a,bbaa=bba infinite ab - - ab:ab=a,aaa=aa,bbaa=bba [02m00s] # 9359 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:55,nodes:10,pairs:3,completionMax:9us [02m00s] 9359 ab:ab=a,bbaa=bbb finite:9;idempotents:1,aa,baa,bbaa a/b - - ab:aaa=a,ab=a,bbb=bbaa [02m00s] # 9360 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:12,pairs:1,completionMax:7us [02m00s] 9360 ab:ab=a,bbab=aaa infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [02m00s] from: 9360 ab:ab=a,bbab=aaa infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [02m00s] # 9361 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:10,pairs:1,completionMax:6us [02m00s] 9361 ab:ab=a,bbab=aab infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9361 ab:ab=a,bbab=aab infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9362 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:50,nodes:10,pairs:1,completionMax:4us [02m00s] 9362 ab:ab=a,bbab=aba infinite ab - - ab:ab=a,aaa=aa,bba=aa [02m00s] from: 9362 ab:ab=a,bbab=aba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [02m00s] # 9363 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:3us [02m00s] 9363 ab:ab=a,bbab=abb infinite ab - - ab:ab=a,bba=a [02m00s] from: 9363 ab:ab=a,bbab=abb infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [02m00s] # 9364 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:1,completionMax:14us [02m00s] 9364 ab:ab=a,bbab=baa infinite ab - - ab:ab=a,aaa=aa,bba=baa [02m00s] from: 9364 ab:ab=a,bbab=baa infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [02m00s] # 9365 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 9365 ab:ab=a,bbab=bab infinite ab - - ab:ab=a,bba=ba [02m00s] from: 9365 ab:ab=a,bbab=bab infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [02m00s] # 9366 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 9366 ab:ab=a,bbab=bba infinite ab - - ab:ab=a [02m00s] from: 9366 ab:ab=a,bbab=bba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [02m00s] # 9367 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:8,pairs:3,completionMax:8us [02m00s] 9367 ab:ab=a,bbab=bbb finite:6;idempotents:1,a,ba,bba ab - - ab:aa=a,ab=a,bbb=bba [02m00s] from: 9367 ab:ab=a,bbab=bbb finite:6;idempotents:1,a,ba,bba to: 3199 ab:ab=a,bbb=bba finite:6;idempotents:1,a,ba,bba a=a,b=b [02m00s] # 9368 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:14,pairs:1,completionMax:7us [02m00s] 9368 ab:ab=a,bbba=aaa infinite ab - - ab:ab=a,aaaa=aa,bbba=aaa [02m00s] # 9369 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:1,completionMax:7us [02m00s] 9369 ab:ab=a,bbba=aab infinite ab - - ab:ab=a,aaa=aa,bbba=aa [02m00s] from: 9369 ab:ab=a,bbba=aab infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [02m00s] # 9370 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:12,pairs:1,completionMax:5us [02m00s] 9370 ab:ab=a,bbba=aba infinite ab - - ab:ab=a,aaa=aa,bbba=aa [02m00s] from: 9370 ab:ab=a,bbba=aba infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [02m00s] # 9371 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:2us [02m00s] 9371 ab:ab=a,bbba=abb infinite ab - - ab:ab=a,bbba=a [02m00s] from: 9371 ab:ab=a,bbba=abb infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [02m00s] # 9372 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:4us [02m00s] 9372 ab:ab=a,bbba=baa infinite ab - - ab:ab=a,aaa=aa,bbba=baa [02m00s] # 9373 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:2us [02m00s] 9373 ab:ab=a,bbba=bab infinite ab - - ab:ab=a,bbba=ba [02m00s] from: 9373 ab:ab=a,bbba=bab infinite to: 3130 ab:ab=a,bbba=ba infinite a=a,b=b [02m00s] # 9374 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:9us [02m00s] 9374 ab:ab=a,bbba=bba infinite ab - - ab:ab=a,bbba=bba [02m00s] # 9375 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:138,nodes:10,pairs:2,completionMax:25us [02m00s] 9375 ab:ab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb ab - - ab:aa=a,ab=a,bbba=bbb,bbbb=bbb [02m00s] # 9376 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:144,nodes:18,pairs:6,completionMax:36us [02m00s] 9376 ab:ab=a,bbbb=aaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a,bbbb=aaa [02m00s] # 9377 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:114,nodes:14,pairs:5,completionMax:37us [02m00s] 9377 ab:ab=a,bbbb=aab finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [02m00s] from: 9377 ab:ab=a,bbbb=aab finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9378 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:113,nodes:14,pairs:5,completionMax:23us [02m00s] 9378 ab:ab=a,bbbb=aba finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [02m00s] from: 9378 ab:ab=a,bbbb=aba finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [02m00s] # 9379 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:3,work:105,nodes:10,pairs:1,completionMax:12us [02m00s] 9379 ab:ab=a,bbbb=abb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbbb [02m00s] from: 9379 ab:ab=a,bbbb=abb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbbb,b=b [02m00s] # 9380 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:163,nodes:14,pairs:5,completionMax:45us [02m00s] 9380 ab:ab=a,bbbb=baa finite:8;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbbb=baa [02m00s] # 9381 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:2,work:199,nodes:12,pairs:2,completionMax:13us [02m00s] 9381 ab:ab=a,bbbb=bab finite:6;idempotents:1,a,bbbb b/a - - ab:bbbbb=bbbb,ab=a,ba=bbbb,aa=a [02m00s] from: 9381 ab:ab=a,bbbb=bab finite:6;idempotents:1,a,bbbb to: 3134 ab:ab=a,bbbb=ba finite:6;idempotents:1,a,bbbb a=a,b=b [02m00s] # 9382 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:225,nodes:12,pairs:2,completionMax:15us [02m00s] 9382 ab:ab=a,bbbb=bba finite:7;idempotents:1,a,ba,bbbb b/a - - ab:bbbbb=bbbb,ab=a,bba=bbbb,aa=a [02m00s] # 9383 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:60,nodes:10,pairs:0,completionMax:4us [02m00s] 9383 ab:ab=a,bbbb=bbb infinite ab - - ab:ab=a,bbbb=bbb [02m00s] # 9384 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9384 ab:aa=1,aaaaaaaa=1 infinite ab - - ab:aa=1 [02m00s] from: 9384 ab:aa=1,aaaaaaaa=1 infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9385 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:4us [02m00s] 9385 ab:aa=1,aaaaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9385 ab:aa=1,aaaaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9386 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:5us [02m00s] 9386 ab:aa=1,aaaaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9386 ab:aa=1,aaaaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9387 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:6,pairs:0,completionMax:1us [02m00s] 9387 ab:aa=1,aaaaaabb=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9387 ab:aa=1,aaaaaabb=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9388 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 9388 ab:aa=1,aaaaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9388 ab:aa=1,aaaaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9389 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:12,pairs:1,completionMax:7us [02m00s] 9389 ab:aa=1,aaaaabab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9389 ab:aa=1,aaaaabab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9390 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:12,pairs:7,completionMax:18us [02m00s] 9390 ab:aa=1,aaaaabba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9390 ab:aa=1,aaaaabba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9391 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:21,nodes:12,pairs:4,completionMax:11us [02m00s] 9391 ab:aa=1,aaaaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9391 ab:aa=1,aaaaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9392 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:4us [02m00s] 9392 ab:aa=1,aaaabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9392 ab:aa=1,aaaabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9393 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 9393 ab:aa=1,aaaabaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9393 ab:aa=1,aaaabaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9394 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:10us [02m00s] 9394 ab:aa=1,aaaababa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9394 ab:aa=1,aaaababa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9395 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:180,nodes:16,pairs:6,completionMax:31us [02m00s] 9395 ab:aa=1,aaaababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9395 ab:aa=1,aaaababb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9396 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:2us [02m00s] 9396 ab:aa=1,aaaabbaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9396 ab:aa=1,aaaabbaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9397 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:157,nodes:14,pairs:15,completionMax:33us [02m00s] 9397 ab:aa=1,aaaabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9397 ab:aa=1,aaaabbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9398 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:15,nodes:12,pairs:3,completionMax:10us [02m00s] 9398 ab:aa=1,aaaabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9398 ab:aa=1,aaaabbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9399 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:4,nodes:10,pairs:0,completionMax:3us [02m00s] 9399 ab:aa=1,aaaabbbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9399 ab:aa=1,aaaabbbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9400 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:19,nodes:12,pairs:1,completionMax:6us [02m00s] 9400 ab:aa=1,aaabaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9400 ab:aa=1,aaabaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9401 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:46,nodes:12,pairs:7,completionMax:19us [02m00s] 9401 ab:aa=1,aaabaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9401 ab:aa=1,aaabaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9402 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:23,nodes:12,pairs:4,completionMax:12us [02m00s] 9402 ab:aa=1,aaabaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9402 ab:aa=1,aaabaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9403 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:21,nodes:12,pairs:1,completionMax:5us [02m00s] 9403 ab:aa=1,aaababaa=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9403 ab:aa=1,aaababaa=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9404 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:30,nodes:20,pairs:1,completionMax:13us [02m00s] 9404 ab:aa=1,aaababab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9404 ab:aa=1,aaababab=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9405 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:311,nodes:20,pairs:28,completionMax:66us [02m00s] 9405 ab:aa=1,aaababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9405 ab:aa=1,aaababba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9406 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:509,nodes:24,pairs:13,completionMax:50us [02m00s] 9406 ab:aa=1,aaababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9406 ab:aa=1,aaababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9407 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:47,nodes:12,pairs:7,completionMax:15us [02m00s] 9407 ab:aa=1,aaabbaaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9407 ab:aa=1,aaabbaaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9408 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:24,nodes:12,pairs:4,completionMax:12us [02m00s] 9408 ab:aa=1,aaabbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9408 ab:aa=1,aaabbaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9409 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:4,work:583,nodes:22,pairs:42,completionMax:75us [02m00s] 9409 ab:aa=1,aaabbaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9409 ab:aa=1,aaabbaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9410 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:462,nodes:27,pairs:18,completionMax:68us [02m00s] 9410 ab:aa=1,aaabbabb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9410 ab:aa=1,aaabbabb=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9411 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:25,nodes:12,pairs:4,completionMax:12us [02m00s] 9411 ab:aa=1,aaabbbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9411 ab:aa=1,aaabbbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9412 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:849,nodes:30,pairs:11,completionMax:74us [02m00s] 9412 ab:aa=1,aaabbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9412 ab:aa=1,aaabbbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9413 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:20,pairs:7,completionMax:25us [02m00s] 9413 ab:aa=1,aaabbbba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9413 ab:aa=1,aaabbbba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9414 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:29,nodes:20,pairs:4,completionMax:18us [02m00s] 9414 ab:aa=1,aaabbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9414 ab:aa=1,aaabbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9415 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 9415 ab:aa=1,aabaaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9415 ab:aa=1,aabaaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9416 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:6us [02m00s] 9416 ab:aa=1,aabaaaba=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9416 ab:aa=1,aabaaaba=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9417 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:181,nodes:16,pairs:6,completionMax:26us [02m00s] 9417 ab:aa=1,aabaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9417 ab:aa=1,aabaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9418 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9418 ab:aa=1,aabaabaa=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9418 ab:aa=1,aabaabaa=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9419 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:158,nodes:14,pairs:15,completionMax:30us [02m00s] 9419 ab:aa=1,aabaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9419 ab:aa=1,aabaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9420 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:16,nodes:12,pairs:3,completionMax:15us [02m00s] 9420 ab:aa=1,aabaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9420 ab:aa=1,aabaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9421 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:5,nodes:10,pairs:0,completionMax:3us [02m00s] 9421 ab:aa=1,aabaabbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9421 ab:aa=1,aabaabbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9422 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:183,nodes:16,pairs:6,completionMax:33us [02m00s] 9422 ab:aa=1,aababaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9422 ab:aa=1,aababaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9423 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:28,nodes:14,pairs:1,completionMax:10us [02m00s] 9423 ab:aa=1,aabababa=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9423 ab:aa=1,aabababa=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9424 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2129,nodes:38,pairs:47,completionMax:211us [02m00s] 9424 ab:aa=1,aabababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9424 ab:aa=1,aabababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9425 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:184,nodes:16,pairs:6,completionMax:40us [02m00s] 9425 ab:aa=1,aababbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9425 ab:aa=1,aababbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9426 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:329,nodes:42,pairs:10,completionMax:42us [02m00s] 9426 ab:aa=1,aababbab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9426 ab:aa=1,aababbab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9427 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:582,nodes:26,pairs:17,completionMax:77us [02m00s] 9427 ab:aa=1,aababbba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9427 ab:aa=1,aababbba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9428 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:495,nodes:32,pairs:16,completionMax:49us [02m00s] 9428 ab:aa=1,aababbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9428 ab:aa=1,aababbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9429 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:159,nodes:14,pairs:15,completionMax:33us [02m00s] 9429 ab:aa=1,aabbaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9429 ab:aa=1,aabbaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9430 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:17,nodes:12,pairs:3,completionMax:8us [02m00s] 9430 ab:aa=1,aabbaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9430 ab:aa=1,aabbaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9431 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:6,nodes:10,pairs:0,completionMax:2us [02m00s] 9431 ab:aa=1,aabbaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9431 ab:aa=1,aabbaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9432 solved: rounds:4,rules:3,peak:9,longest:10,steps:12,word:6,work:3115,nodes:54,pairs:29,completionMax:141us [02m00s] 9432 ab:aa=1,aabbabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9432 ab:aa=1,aabbabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9433 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:468,nodes:27,pairs:18,completionMax:71us [02m00s] 9433 ab:aa=1,aabbabba=1 infinite;group:a-a,b-acab,c-aca reversed:ac/b bb=c frequency:2/0 abc:aa=1,cac=a,bc=cb,bac=acaba,bb=c [02m00s] from: 9433 ab:aa=1,aabbabba=1 infinite;group:a-a,b-acab,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca anti:a=a,b=b,c=c [02m00s] # 9434 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:725,nodes:30,pairs:15,completionMax:68us [02m00s] 9434 ab:aa=1,aabbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9434 ab:aa=1,aabbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9435 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:10,pairs:0,completionMax:2us [02m00s] 9435 ab:aa=1,aabbbaab=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9435 ab:aa=1,aabbbaab=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9436 solved: rounds:4,rules:3,peak:5,longest:11,steps:12,word:8,work:539,nodes:36,pairs:16,completionMax:58us [02m00s] 9436 ab:aa=1,aabbbaba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9436 ab:aa=1,aabbbaba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9437 solved: rounds:3,rules:2,peak:7,longest:10,steps:10,word:8,work:2041,nodes:28,pairs:34,completionMax:129us [02m00s] 9437 ab:aa=1,aabbbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9437 ab:aa=1,aabbbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9438 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:8,nodes:10,pairs:0,completionMax:2us [02m00s] 9438 ab:aa=1,aabbbbaa=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9438 ab:aa=1,aabbbbaa=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9439 solved: rounds:4,rules:2,peak:8,longest:17,steps:7,word:8,work:2586,nodes:48,pairs:28,completionMax:145us [02m00s] 9439 ab:aa=1,aabbbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9439 ab:aa=1,aabbbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9440 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:19,nodes:20,pairs:3,completionMax:16us [02m00s] 9440 ab:aa=1,aabbbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9440 ab:aa=1,aabbbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9441 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:2,nodes:14,pairs:0,completionMax:4us [02m00s] 9441 ab:aa=1,aabbbbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9441 ab:aa=1,aabbbbbb=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9442 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:21,nodes:12,pairs:1,completionMax:6us [02m00s] 9442 ab:aa=1,abaaaaab=1 infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9442 ab:aa=1,abaaaaab=1 infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9443 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:12,pairs:7,completionMax:21us [02m00s] 9443 ab:aa=1,abaaaaba=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9443 ab:aa=1,abaaaaba=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9444 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:25,nodes:12,pairs:4,completionMax:13us [02m00s] 9444 ab:aa=1,abaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9444 ab:aa=1,abaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9445 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:32,nodes:20,pairs:1,completionMax:15us [02m00s] 9445 ab:aa=1,abaaabab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9445 ab:aa=1,abaaabab=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9446 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:313,nodes:20,pairs:28,completionMax:73us [02m00s] 9446 ab:aa=1,abaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9446 ab:aa=1,abaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9447 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:511,nodes:24,pairs:13,completionMax:57us [02m00s] 9447 ab:aa=1,abaaabbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9447 ab:aa=1,abaaabbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9448 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:26,nodes:12,pairs:4,completionMax:10us [02m00s] 9448 ab:aa=1,abaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9448 ab:aa=1,abaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9449 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:4,work:585,nodes:22,pairs:42,completionMax:100us [02m00s] 9449 ab:aa=1,abaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9449 ab:aa=1,abaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9450 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:464,nodes:27,pairs:18,completionMax:69us [02m00s] 9450 ab:aa=1,abaababb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9450 ab:aa=1,abaababb=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9451 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:851,nodes:30,pairs:11,completionMax:72us [02m00s] 9451 ab:aa=1,abaabbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9451 ab:aa=1,abaabbab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9452 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:62,nodes:20,pairs:7,completionMax:23us [02m00s] 9452 ab:aa=1,abaabbba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9452 ab:aa=1,abaabbba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9453 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:31,nodes:20,pairs:4,completionMax:14us [02m00s] 9453 ab:aa=1,abaabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9453 ab:aa=1,abaabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9454 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:34,nodes:20,pairs:1,completionMax:11us [02m00s] 9454 ab:aa=1,ababaaab=1 infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9454 ab:aa=1,ababaaab=1 infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9455 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:513,nodes:24,pairs:13,completionMax:64us [02m00s] 9455 ab:aa=1,ababaabb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9455 ab:aa=1,ababaabb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9456 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:0,work:47,nodes:28,pairs:1,completionMax:15us [02m00s] 9456 ab:aa=1,abababab=1 infinite;group:a-a,b-abababa ab - - ab:aa=1,bababab=a [02m00s] # 9457 solved: rounds:5,rules:3,peak:9,longest:9,steps:6,word:4,work:3053,nodes:46,pairs:74,completionMax:279us [02m00s] 9457 ab:aa=1,abababba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9457 ab:aa=1,abababba=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9458 solved: rounds:4,rules:4,peak:9,longest:12,steps:11,word:4,work:2691,nodes:50,pairs:32,completionMax:171us [02m00s] 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] # 9459 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:514,nodes:24,pairs:13,completionMax:47us [02m00s] 9459 ab:aa=1,ababbaab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9459 ab:aa=1,ababbaab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9460 solved: rounds:2,rules:5,peak:7,longest:8,steps:5,word:2,work:259,nodes:30,pairs:11,completionMax:44us [02m00s] 9460 ab:aa=1,ababbaba=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9460 ab:aa=1,ababbaba=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9461 solved: rounds:4,rules:2,peak:5,longest:11,steps:8,word:8,work:489,nodes:32,pairs:18,completionMax:86us [02m00s] 9461 ab:aa=1,ababbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9461 ab:aa=1,ababbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9462 solved: rounds:4,rules:4,peak:7,longest:12,steps:6,word:4,work:1323,nodes:44,pairs:28,completionMax:115us [02m00s] 9462 ab:aa=1,ababbbab=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] from: 9462 ab:aa=1,ababbbab=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb a=a,b=b [02m00s] # 9463 solved: rounds:5,rules:2,peak:6,longest:10,steps:6,word:8,work:1122,nodes:28,pairs:29,completionMax:106us [02m00s] 9463 ab:aa=1,ababbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9463 ab:aa=1,ababbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9464 solved: rounds:5,rules:3,peak:8,longest:24,steps:14,word:36,work:3926,nodes:64,pairs:27,completionMax:233us [02m00s] 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbb,aa=1 [02m00s] # 9465 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:27,nodes:12,pairs:4,completionMax:12us [02m00s] 9465 ab:aa=1,abbaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9465 ab:aa=1,abbaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9466 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:465,nodes:27,pairs:18,completionMax:65us [02m00s] 9466 ab:aa=1,abbaaabb=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9466 ab:aa=1,abbaaabb=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9467 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:852,nodes:30,pairs:11,completionMax:57us [02m00s] 9467 ab:aa=1,abbaabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9467 ab:aa=1,abbaabab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9468 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:63,nodes:20,pairs:7,completionMax:24us [02m00s] 9468 ab:aa=1,abbaabba=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9468 ab:aa=1,abbaabba=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9469 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:32,nodes:20,pairs:4,completionMax:14us [02m00s] 9469 ab:aa=1,abbaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9469 ab:aa=1,abbaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9470 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:467,nodes:27,pairs:18,completionMax:70us [02m00s] 9470 ab:aa=1,abbabaab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9470 ab:aa=1,abbabaab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9471 solved: rounds:3,rules:2,peak:8,longest:10,steps:12,word:8,work:3077,nodes:46,pairs:43,completionMax:157us [02m00s] 9471 ab:aa=1,abbababb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9471 ab:aa=1,abbababb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9472 solved: rounds:2,rules:2,peak:4,longest:10,steps:7,word:12,work:387,nodes:20,pairs:12,completionMax:30us [02m00s] 9472 ab:aa=1,abbabbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9472 ab:aa=1,abbabbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9473 solved: rounds:4,rules:2,peak:10,longest:10,steps:6,word:8,work:2734,nodes:46,pairs:72,completionMax:297us [02m00s] 9473 ab:aa=1,abbabbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9473 ab:aa=1,abbabbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9474 solved: rounds:4,rules:3,peak:7,longest:8,steps:6,word:0,work:1305,nodes:36,pairs:18,completionMax:96us [02m00s] 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] # 9475 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:853,nodes:30,pairs:11,completionMax:57us [02m00s] 9475 ab:aa=1,abbbaaab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9475 ab:aa=1,abbbaaab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9476 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:33,nodes:20,pairs:4,completionMax:12us [02m00s] 9476 ab:aa=1,abbbaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9476 ab:aa=1,abbbaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9477 solved: rounds:3,rules:4,peak:7,longest:10,steps:6,word:4,work:2457,nodes:36,pairs:48,completionMax:151us [02m00s] 9477 ab:aa=1,abbbabab=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] from: 9477 ab:aa=1,abbbabab=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb a=a,b=b [02m00s] # 9478 solved: rounds:4,rules:5,peak:11,longest:8,steps:7,word:2,work:1315,nodes:36,pairs:37,completionMax:135us [02m00s] 9478 ab:aa=1,abbbabbb=1 infinite;group:a-a,b-bbaca,c-aca ac/b bbb=c frequency:3/1 abc:aa=1,cac=a,cb=bc,cab=abaca,bbb=c [02m00s] # 9479 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:34,nodes:20,pairs:4,completionMax:19us [02m00s] 9479 ab:aa=1,abbbbaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9479 ab:aa=1,abbbbaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9480 solved: rounds:2,rules:3,peak:5,longest:8,steps:6,word:0,work:461,nodes:28,pairs:10,completionMax:47us [02m00s] 9480 ab:aa=1,abbbbabb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] from: 9480 ab:aa=1,abbbbabb=1 infinite;group:a-a,b-bbbbb to: 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9481 solved: rounds:6,rules:3,peak:6,longest:48,steps:43,word:126,work:21064,nodes:144,pairs:50,completionMax:832us [02m00s] 9481 ab:aa=1,abbbbbab=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbb,aa=1 [02m00s] from: 9481 ab:aa=1,abbbbbab=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 9482 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:76,nodes:28,pairs:7,completionMax:36us [02m00s] 9482 ab:aa=1,abbbbbba=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9482 ab:aa=1,abbbbbba=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9483 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:6,work:37,nodes:28,pairs:4,completionMax:23us [02m00s] 9483 ab:aa=1,abbbbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbb [02m00s] from: 9483 ab:aa=1,abbbbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=b [02m00s] # 9484 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 9484 ab:aa=1,baaaaaab=1 infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9484 ab:aa=1,baaaaaab=1 infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9485 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:182,nodes:16,pairs:6,completionMax:35us [02m00s] 9485 ab:aa=1,baaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9485 ab:aa=1,baaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9486 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:159,nodes:14,pairs:15,completionMax:44us [02m00s] 9486 ab:aa=1,baaaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9486 ab:aa=1,baaaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9487 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:6,nodes:10,pairs:0,completionMax:3us [02m00s] 9487 ab:aa=1,baaaabbb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9487 ab:aa=1,baaaabbb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9488 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:184,nodes:16,pairs:6,completionMax:32us [02m00s] 9488 ab:aa=1,baaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9488 ab:aa=1,baaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9489 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2130,nodes:38,pairs:47,completionMax:176us [02m00s] 9489 ab:aa=1,baaababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9489 ab:aa=1,baaababb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9490 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:330,nodes:42,pairs:10,completionMax:45us [02m00s] 9490 ab:aa=1,baaabbab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9490 ab:aa=1,baaabbab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9491 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:496,nodes:32,pairs:16,completionMax:54us [02m00s] 9491 ab:aa=1,baaabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9491 ab:aa=1,baaabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9492 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:10,pairs:0,completionMax:4us [02m00s] 9492 ab:aa=1,baabaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9492 ab:aa=1,baabaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9493 solved: rounds:4,rules:3,peak:9,longest:10,steps:12,word:6,work:3116,nodes:54,pairs:29,completionMax:186us [02m00s] 9493 ab:aa=1,baababab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9493 ab:aa=1,baababab=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9494 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:726,nodes:30,pairs:15,completionMax:65us [02m00s] 9494 ab:aa=1,baababbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9494 ab:aa=1,baababbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9495 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:8,nodes:10,pairs:0,completionMax:3us [02m00s] 9495 ab:aa=1,baabbaab=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9495 ab:aa=1,baabbaab=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9496 solved: rounds:3,rules:2,peak:7,longest:10,steps:10,word:8,work:2042,nodes:28,pairs:34,completionMax:104us [02m00s] 9496 ab:aa=1,baabbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9496 ab:aa=1,baabbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9497 solved: rounds:4,rules:2,peak:8,longest:17,steps:7,word:8,work:2587,nodes:48,pairs:28,completionMax:198us [02m00s] 9497 ab:aa=1,baabbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9497 ab:aa=1,baabbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9498 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:3,nodes:14,pairs:0,completionMax:5us [02m00s] 9498 ab:aa=1,baabbbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9498 ab:aa=1,baabbbbb=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9499 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2132,nodes:38,pairs:47,completionMax:137us [02m00s] 9499 ab:aa=1,babaaabb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9499 ab:aa=1,babaaabb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9500 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:332,nodes:42,pairs:10,completionMax:44us [02m00s] 9500 ab:aa=1,babaabab=1 infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9500 ab:aa=1,babaabab=1 infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9501 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:498,nodes:32,pairs:16,completionMax:41us [02m00s] 9501 ab:aa=1,babaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9501 ab:aa=1,babaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9502 solved: rounds:4,rules:4,peak:17,longest:11,steps:14,word:8,work:38885,nodes:74,pairs:306,completionMax:2253us [02m00s] 9502 ab:aa=1,babababb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] from: 9502 ab:aa=1,babababb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb a=a,b=b [02m00s] # 9503 solved: rounds:3,rules:2,peak:9,longest:10,steps:17,word:8,work:3881,nodes:56,pairs:19,completionMax:133us [02m00s] 9503 ab:aa=1,bababbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9503 ab:aa=1,bababbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9504 solved: rounds:9,rules:3,peak:14,longest:48,steps:43,word:126,work:32986,nodes:144,pairs:151,completionMax:1915us [02m00s] 9504 ab:aa=1,bababbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbb,aa=1 [02m00s] from: 9504 ab:aa=1,bababbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 9505 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:499,nodes:32,pairs:16,completionMax:48us [02m00s] 9505 ab:aa=1,babbaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9505 ab:aa=1,babbaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9506 solved: rounds:3,rules:3,peak:10,longest:11,steps:9,word:0,work:5289,nodes:70,pairs:50,completionMax:219us [02m00s] 9506 ab:aa=1,babbabbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] from: 9506 ab:aa=1,babbabbb=1 infinite;group:a-a,b-bbbbb to: 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9507 solved: rounds:3,rules:5,peak:13,longest:8,steps:6,word:4,work:1921,nodes:69,pairs:58,completionMax:242us [02m00s] 9507 ab:aa=1,babbbabb=1 infinite;group:a-a,b-bbaca,c-aca ac/b bbb=c frequency:3/1 abc:aa=1,cac=a,cb=bc,cab=abaca,bbb=c [02m00s] from: 9507 ab:aa=1,babbbabb=1 infinite;group:a-a,b-bbaca,c-aca to: 9478 ab:aa=1,abbbabbb=1 infinite;group:a-a,b-bbaca,c-aca a=a,b=b,c=c [02m00s] # 9508 solved: rounds:3,rules:3,peak:11,longest:10,steps:6,word:0,work:3397,nodes:48,pairs:63,completionMax:189us [02m00s] 9508 ab:aa=1,babbbbab=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] from: 9508 ab:aa=1,babbbbab=1 infinite;group:a-a,b-bbbbb to: 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9509 solved: rounds:3,rules:2,peak:5,longest:14,steps:8,word:6,work:889,nodes:48,pairs:23,completionMax:90us [02m00s] 9509 ab:aa=1,babbbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbb [02m00s] from: 9509 ab:aa=1,babbbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=b [02m00s] # 9510 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:8,nodes:10,pairs:0,completionMax:5us [02m00s] 9510 ab:aa=1,bbaaaabb=1 infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9510 ab:aa=1,bbaaaabb=1 infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9511 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:727,nodes:30,pairs:15,completionMax:67us [02m00s] 9511 ab:aa=1,bbaaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9511 ab:aa=1,bbaaabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9512 solved: rounds:3,rules:2,peak:7,longest:10,steps:10,word:8,work:2043,nodes:28,pairs:34,completionMax:137us [02m00s] 9512 ab:aa=1,bbaababb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9512 ab:aa=1,bbaababb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9513 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:14,pairs:0,completionMax:3us [02m00s] 9513 ab:aa=1,bbaabbbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9513 ab:aa=1,bbaabbbb=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9514 solved: rounds:5,rules:3,peak:18,longest:39,steps:42,word:54,work:42507,nodes:162,pairs:108,completionMax:1424us [02m00s] 9514 ab:aa=1,bbababbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbb,aa=1 [02m00s] from: 9514 ab:aa=1,bbababbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 9515 solved: rounds:2,rules:3,peak:3,longest:8,steps:6,word:0,work:217,nodes:18,pairs:7,completionMax:29us [02m00s] 9515 ab:aa=1,bbabbabb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] from: 9515 ab:aa=1,bbabbabb=1 infinite;group:a-a,b-bbbbb to: 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9516 solved: rounds:3,rules:2,peak:6,longest:14,steps:5,word:6,work:1670,nodes:50,pairs:24,completionMax:116us [02m00s] 9516 ab:aa=1,bbabbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbb [02m00s] from: 9516 ab:aa=1,bbabbbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=b [02m00s] # 9517 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:5,nodes:14,pairs:0,completionMax:4us [02m00s] 9517 ab:aa=1,bbbaabbb=1 infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9517 ab:aa=1,bbbaabbb=1 infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9518 solved: rounds:3,rules:2,peak:6,longest:14,steps:5,word:6,work:1225,nodes:40,pairs:19,completionMax:84us [02m00s] 9518 ab:aa=1,bbbabbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbb [02m00s] from: 9518 ab:aa=1,bbbabbbb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=b [02m00s] # 9519 solved: rounds:0,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:8us [02m00s] 9519 ab:aa=1,bbbbbbbb=1 infinite;group:a-a,b-bbbbbbb ab - - ab:aa=1,bbbbbbbb=1 [02m00s] # 9520 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:0,work:8,nodes:16,pairs:1,completionMax:12us [02m00s] 9520 ab:ab=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a a/b - - ab:aaaaaaaa=1,b=aaaaaaa [02m00s] from: 9520 ab:ab=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaaa,b=a [02m00s] # 9521 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:14,nodes:12,pairs:1,completionMax:7us [02m00s] 9521 ab:ab=1,aaaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9521 ab:ab=1,aaaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9522 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:13,nodes:12,pairs:1,completionMax:6us [02m00s] 9522 ab:ab=1,aaaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9522 ab:ab=1,aaaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9523 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:8,pairs:1,completionMax:5us [02m00s] 9523 ab:ab=1,aaaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9523 ab:ab=1,aaaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9524 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:12,nodes:12,pairs:1,completionMax:7us [02m00s] 9524 ab:ab=1,aaaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9524 ab:ab=1,aaaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9525 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:5us [02m00s] 9525 ab:ab=1,aaaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9525 ab:ab=1,aaaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9526 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:4us [02m00s] 9526 ab:ab=1,aaaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9526 ab:ab=1,aaaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9527 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:1,completionMax:4us [02m00s] 9527 ab:ab=1,aaaaabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9527 ab:ab=1,aaaaabbb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9528 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:11,nodes:12,pairs:1,completionMax:7us [02m00s] 9528 ab:ab=1,aaaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9528 ab:ab=1,aaaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9529 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:5us [02m00s] 9529 ab:ab=1,aaaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9529 ab:ab=1,aaaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9530 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:4us [02m00s] 9530 ab:ab=1,aaaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9530 ab:ab=1,aaaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9531 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:1,completionMax:4us [02m00s] 9531 ab:ab=1,aaaababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9531 ab:ab=1,aaaababb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9532 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:13,nodes:8,pairs:1,completionMax:5us [02m00s] 9532 ab:ab=1,aaaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9532 ab:ab=1,aaaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9533 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:4,pairs:1,completionMax:4us [02m00s] 9533 ab:ab=1,aaaabbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9533 ab:ab=1,aaaabbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9534 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:14,nodes:4,pairs:1,completionMax:2us [02m00s] 9534 ab:ab=1,aaaabbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9534 ab:ab=1,aaaabbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9535 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:14,nodes:4,pairs:0,completionMax:0us [02m00s] 9535 ab:ab=1,aaaabbbb=1 infinite ab - - ab:ab=1 [02m00s] from: 9535 ab:ab=1,aaaabbbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9536 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:10,nodes:12,pairs:1,completionMax:6us [02m00s] 9536 ab:ab=1,aaabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9536 ab:ab=1,aaabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9537 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:3us [02m00s] 9537 ab:ab=1,aaabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9537 ab:ab=1,aaabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9538 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:13,nodes:8,pairs:1,completionMax:5us [02m00s] 9538 ab:ab=1,aaabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9538 ab:ab=1,aaabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9539 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:4,pairs:1,completionMax:3us [02m00s] 9539 ab:ab=1,aaabaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9539 ab:ab=1,aaabaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9540 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:5us [02m00s] 9540 ab:ab=1,aaababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9540 ab:ab=1,aaababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9541 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:14,nodes:4,pairs:1,completionMax:2us [02m00s] 9541 ab:ab=1,aaababab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9541 ab:ab=1,aaababab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9542 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:13,nodes:4,pairs:1,completionMax:4us [02m00s] 9542 ab:ab=1,aaababba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9542 ab:ab=1,aaababba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9543 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:13,nodes:4,pairs:0,completionMax:0us [02m00s] 9543 ab:ab=1,aaababbb=1 infinite ab - - ab:ab=1 [02m00s] from: 9543 ab:ab=1,aaababbb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9544 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:4us [02m00s] 9544 ab:ab=1,aaabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9544 ab:ab=1,aaabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9545 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:13,nodes:4,pairs:1,completionMax:2us [02m00s] 9545 ab:ab=1,aaabbaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9545 ab:ab=1,aaabbaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9546 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:5us [02m00s] 9546 ab:ab=1,aaabbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9546 ab:ab=1,aaabbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9547 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:0us [02m00s] 9547 ab:ab=1,aaabbabb=1 infinite ab - - ab:ab=1 [02m00s] from: 9547 ab:ab=1,aaabbabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9548 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:2us [02m00s] 9548 ab:ab=1,aaabbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9548 ab:ab=1,aaabbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9549 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:11,nodes:4,pairs:0,completionMax:0us [02m00s] 9549 ab:ab=1,aaabbbab=1 infinite ab - - ab:ab=1 [02m00s] from: 9549 ab:ab=1,aaabbbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9550 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9550 ab:ab=1,aaabbbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9550 ab:ab=1,aaabbbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9551 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:9,nodes:12,pairs:1,completionMax:6us [02m00s] 9551 ab:ab=1,aabaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9551 ab:ab=1,aabaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9552 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:13,nodes:8,pairs:1,completionMax:5us [02m00s] 9552 ab:ab=1,aabaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9552 ab:ab=1,aabaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9553 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:6us [02m00s] 9553 ab:ab=1,aabaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9553 ab:ab=1,aabaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9554 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:14,nodes:4,pairs:1,completionMax:2us [02m00s] 9554 ab:ab=1,aabaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9554 ab:ab=1,aabaaabb=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9555 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:4us [02m00s] 9555 ab:ab=1,aabaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9555 ab:ab=1,aabaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9556 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:13,nodes:4,pairs:1,completionMax:2us [02m00s] 9556 ab:ab=1,aabaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9556 ab:ab=1,aabaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9557 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:2us [02m00s] 9557 ab:ab=1,aabaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9557 ab:ab=1,aabaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9558 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:4us [02m00s] 9558 ab:ab=1,aababaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9558 ab:ab=1,aababaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9559 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:3us [02m00s] 9559 ab:ab=1,aababaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9559 ab:ab=1,aababaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9560 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:2us [02m00s] 9560 ab:ab=1,aabababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9560 ab:ab=1,aabababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9561 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:11,nodes:4,pairs:0,completionMax:0us [02m00s] 9561 ab:ab=1,aabababb=1 infinite ab - - ab:ab=1 [02m00s] from: 9561 ab:ab=1,aabababb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9562 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 9562 ab:ab=1,aababbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9562 ab:ab=1,aababbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9563 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9563 ab:ab=1,aababbab=1 infinite ab - - ab:ab=1 [02m00s] from: 9563 ab:ab=1,aababbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9564 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:2us [02m00s] 9564 ab:ab=1,aababbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9564 ab:ab=1,aababbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9565 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:6us [02m00s] 9565 ab:ab=1,aabbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9565 ab:ab=1,aabbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9566 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:5us [02m00s] 9566 ab:ab=1,aabbaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9566 ab:ab=1,aabbaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9567 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 9567 ab:ab=1,aabbaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9567 ab:ab=1,aabbaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9568 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:10,nodes:4,pairs:0,completionMax:0us [02m00s] 9568 ab:ab=1,aabbaabb=1 infinite ab - - ab:ab=1 [02m00s] from: 9568 ab:ab=1,aabbaabb=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9569 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 9569 ab:ab=1,aabbabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9569 ab:ab=1,aabbabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9570 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9570 ab:ab=1,aabbabab=1 infinite ab - - ab:ab=1 [02m00s] from: 9570 ab:ab=1,aabbabab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9571 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 9571 ab:ab=1,aabbabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9571 ab:ab=1,aabbabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9572 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:25us [02m00s] 9572 ab:ab=1,aabbbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9572 ab:ab=1,aabbbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9573 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9573 ab:ab=1,aabbbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9573 ab:ab=1,aabbbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9574 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 9574 ab:ab=1,aabbbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9574 ab:ab=1,aabbbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9575 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:15,nodes:12,pairs:6,completionMax:15us [02m00s] 9575 ab:ab=1,aabbbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9575 ab:ab=1,aabbbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9576 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:6,pairs:3,completionMax:5us [02m00s] 9576 ab:ab=1,aabbbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9576 ab:ab=1,aabbbbab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9577 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:79,nodes:10,pairs:9,completionMax:23us [02m00s] 9577 ab:ab=1,aabbbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9577 ab:ab=1,aabbbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9578 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:8us [02m00s] 9578 ab:ab=1,abaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9578 ab:ab=1,abaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9579 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:8,pairs:1,completionMax:5us [02m00s] 9579 ab:ab=1,abaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9579 ab:ab=1,abaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9580 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:4us [02m00s] 9580 ab:ab=1,abaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9580 ab:ab=1,abaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9581 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:4us [02m00s] 9581 ab:ab=1,abaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9581 ab:ab=1,abaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9582 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:3us [02m00s] 9582 ab:ab=1,abaaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9582 ab:ab=1,abaaabab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9583 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:4us [02m00s] 9583 ab:ab=1,abaaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9583 ab:ab=1,abaaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9584 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:6us [02m00s] 9584 ab:ab=1,abaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9584 ab:ab=1,abaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9585 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:3us [02m00s] 9585 ab:ab=1,abaabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9585 ab:ab=1,abaabaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9586 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:2us [02m00s] 9586 ab:ab=1,abaababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9586 ab:ab=1,abaababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9587 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 9587 ab:ab=1,abaabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9587 ab:ab=1,abaabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9588 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9588 ab:ab=1,abaabbab=1 infinite ab - - ab:ab=1 [02m00s] from: 9588 ab:ab=1,abaabbab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9589 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 9589 ab:ab=1,abaabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9589 ab:ab=1,abaabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9590 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:4us [02m00s] 9590 ab:ab=1,ababaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9590 ab:ab=1,ababaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9591 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 9591 ab:ab=1,ababaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9591 ab:ab=1,ababaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9592 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [02m00s] 9592 ab:ab=1,ababaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9592 ab:ab=1,ababaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9593 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [02m00s] 9593 ab:ab=1,abababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9593 ab:ab=1,abababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9594 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9594 ab:ab=1,abababab=1 infinite ab - - ab:ab=1 [02m00s] from: 9594 ab:ab=1,abababab=1 infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9595 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:6,pairs:0,completionMax:3us [02m00s] 9595 ab:ab=1,abababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9595 ab:ab=1,abababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9596 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:71,nodes:12,pairs:9,completionMax:25us [02m00s] 9596 ab:ab=1,ababbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9596 ab:ab=1,ababbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9597 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:2us [02m00s] 9597 ab:ab=1,ababbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9597 ab:ab=1,ababbaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9598 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 9598 ab:ab=1,ababbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9598 ab:ab=1,ababbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9599 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:14,nodes:12,pairs:6,completionMax:12us [02m00s] 9599 ab:ab=1,ababbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9599 ab:ab=1,ababbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9600 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:78,nodes:10,pairs:9,completionMax:17us [02m00s] 9600 ab:ab=1,ababbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9600 ab:ab=1,ababbbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9601 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:133,nodes:20,pairs:11,completionMax:33us [02m00s] 9601 ab:ab=1,abbaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9601 ab:ab=1,abbaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9602 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:9,completionMax:20us [02m00s] 9602 ab:ab=1,abbaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9602 ab:ab=1,abbaaaab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9603 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:9,completionMax:19us [02m00s] 9603 ab:ab=1,abbaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9603 ab:ab=1,abbaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9604 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:9,completionMax:17us [02m00s] 9604 ab:ab=1,abbaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9604 ab:ab=1,abbaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9605 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 9605 ab:ab=1,abbaabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9605 ab:ab=1,abbaabba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9606 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:18us [02m00s] 9606 ab:ab=1,abbabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9606 ab:ab=1,abbabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9607 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9607 ab:ab=1,abbabaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9607 ab:ab=1,abbabaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9608 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 9608 ab:ab=1,abbababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9608 ab:ab=1,abbababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9609 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:15,nodes:12,pairs:6,completionMax:13us [02m00s] 9609 ab:ab=1,abbabbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9609 ab:ab=1,abbabbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9610 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:79,nodes:10,pairs:9,completionMax:17us [02m00s] 9610 ab:ab=1,abbabbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9610 ab:ab=1,abbabbba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9611 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:135,nodes:22,pairs:19,completionMax:40us [02m00s] 9611 ab:ab=1,abbbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9611 ab:ab=1,abbbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9612 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:18,nodes:12,pairs:6,completionMax:14us [02m00s] 9612 ab:ab=1,abbbaaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9612 ab:ab=1,abbbaaab=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9613 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:17,nodes:12,pairs:6,completionMax:13us [02m00s] 9613 ab:ab=1,abbbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9613 ab:ab=1,abbbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9614 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:16,nodes:12,pairs:6,completionMax:16us [02m00s] 9614 ab:ab=1,abbbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9614 ab:ab=1,abbbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9615 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:80,nodes:10,pairs:9,completionMax:19us [02m00s] 9615 ab:ab=1,abbbabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9615 ab:ab=1,abbbabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9616 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:29,nodes:18,pairs:8,completionMax:15us [02m00s] 9616 ab:ab=1,abbbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9616 ab:ab=1,abbbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9617 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:81,nodes:10,pairs:9,completionMax:14us [02m00s] 9617 ab:ab=1,abbbbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9617 ab:ab=1,abbbbaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9618 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:84,nodes:16,pairs:16,completionMax:24us [02m00s] 9618 ab:ab=1,abbbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9618 ab:ab=1,abbbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9619 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:2,work:280,nodes:14,pairs:16,completionMax:38us [02m00s] 9619 ab:ab=1,abbbbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9619 ab:ab=1,abbbbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9620 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:4,work:225,nodes:28,pairs:13,completionMax:46us [02m00s] 9620 ab:ab=1,baaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9620 ab:ab=1,baaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9621 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:138,nodes:20,pairs:11,completionMax:32us [02m00s] 9621 ab:ab=1,baaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9621 ab:ab=1,baaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9622 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:137,nodes:20,pairs:11,completionMax:26us [02m00s] 9622 ab:ab=1,baaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9622 ab:ab=1,baaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9623 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:78,nodes:12,pairs:9,completionMax:23us [02m00s] 9623 ab:ab=1,baaaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9623 ab:ab=1,baaaabba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9624 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:136,nodes:20,pairs:11,completionMax:27us [02m00s] 9624 ab:ab=1,baaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9624 ab:ab=1,baaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9625 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:12,pairs:9,completionMax:22us [02m00s] 9625 ab:ab=1,baaababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9625 ab:ab=1,baaababa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9626 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:9,completionMax:14us [02m00s] 9626 ab:ab=1,baaabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9626 ab:ab=1,baaabbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9627 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:6,pairs:0,completionMax:2us [02m00s] 9627 ab:ab=1,baaabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9627 ab:ab=1,baaabbba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9628 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:135,nodes:20,pairs:11,completionMax:29us [02m00s] 9628 ab:ab=1,baabaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9628 ab:ab=1,baabaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9629 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:9,completionMax:22us [02m00s] 9629 ab:ab=1,baabaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9629 ab:ab=1,baabaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9630 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:9,completionMax:15us [02m00s] 9630 ab:ab=1,baababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9630 ab:ab=1,baababaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9631 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:6,pairs:0,completionMax:2us [02m00s] 9631 ab:ab=1,baababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9631 ab:ab=1,baababba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9632 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:9,completionMax:28us [02m00s] 9632 ab:ab=1,baabbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9632 ab:ab=1,baabbaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9633 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:6,pairs:0,completionMax:2us [02m00s] 9633 ab:ab=1,baabbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9633 ab:ab=1,baabbaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9634 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:17,nodes:12,pairs:6,completionMax:18us [02m00s] 9634 ab:ab=1,baabbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9634 ab:ab=1,baabbbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9635 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:134,nodes:20,pairs:11,completionMax:34us [02m00s] 9635 ab:ab=1,babaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9635 ab:ab=1,babaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9636 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:9,completionMax:23us [02m00s] 9636 ab:ab=1,babaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9636 ab:ab=1,babaaaba=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9637 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:9,completionMax:26us [02m00s] 9637 ab:ab=1,babaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9637 ab:ab=1,babaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9638 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:9,completionMax:17us [02m00s] 9638 ab:ab=1,bababaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9638 ab:ab=1,bababaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9639 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 9639 ab:ab=1,babababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9639 ab:ab=1,babababa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9640 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:16,nodes:12,pairs:6,completionMax:13us [02m00s] 9640 ab:ab=1,bababbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9640 ab:ab=1,bababbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9641 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:136,nodes:22,pairs:19,completionMax:41us [02m00s] 9641 ab:ab=1,babbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9641 ab:ab=1,babbaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9642 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:18,nodes:12,pairs:6,completionMax:16us [02m00s] 9642 ab:ab=1,babbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9642 ab:ab=1,babbaaba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9643 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:17,nodes:12,pairs:6,completionMax:10us [02m00s] 9643 ab:ab=1,babbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9643 ab:ab=1,babbabaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9644 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:30,nodes:18,pairs:8,completionMax:17us [02m00s] 9644 ab:ab=1,babbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9644 ab:ab=1,babbbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9645 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:85,nodes:16,pairs:16,completionMax:29us [02m00s] 9645 ab:ab=1,babbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9645 ab:ab=1,babbbbaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9646 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:2,work:278,nodes:34,pairs:14,completionMax:58us [02m00s] 9646 ab:ab=1,bbaaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9646 ab:ab=1,bbaaaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9647 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:139,nodes:22,pairs:19,completionMax:39us [02m00s] 9647 ab:ab=1,bbaaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9647 ab:ab=1,bbaaabaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9648 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:138,nodes:22,pairs:19,completionMax:34us [02m00s] 9648 ab:ab=1,bbaabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9648 ab:ab=1,bbaabaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9649 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:19,nodes:12,pairs:6,completionMax:16us [02m00s] 9649 ab:ab=1,bbaabbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9649 ab:ab=1,bbaabbaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9650 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:137,nodes:22,pairs:19,completionMax:42us [02m00s] 9650 ab:ab=1,bbabaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9650 ab:ab=1,bbabaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9651 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:18,nodes:12,pairs:6,completionMax:20us [02m00s] 9651 ab:ab=1,bbababaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9651 ab:ab=1,bbababaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9652 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:31,nodes:18,pairs:8,completionMax:17us [02m00s] 9652 ab:ab=1,bbabbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9652 ab:ab=1,bbabbaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9653 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:0,work:204,nodes:28,pairs:20,completionMax:39us [02m00s] 9653 ab:ab=1,bbbaaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9653 ab:ab=1,bbbaaaaa=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9654 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:32,nodes:18,pairs:8,completionMax:10us [02m00s] 9654 ab:ab=1,bbbabaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9654 ab:ab=1,bbbabaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9655 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:50,nodes:24,pairs:8,completionMax:30us [02m00s] 9655 ab:ab=1,bbbbaaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9655 ab:ab=1,bbbbaaaa=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9656 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:2us [02m00s] 9656 ab:aa=1,aaaaaaa=a infinite ab - - ab:aa=1 [02m00s] from: 9656 ab:aa=1,aaaaaaa=a infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9657 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:2us [02m00s] 9657 ab:aa=1,aaaaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9657 ab:aa=1,aaaaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9658 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9658 ab:aa=1,aaaaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9658 ab:aa=1,aaaaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9659 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9659 ab:aa=1,aaaaaab=b infinite ab - - ab:aa=1 [02m00s] from: 9659 ab:aa=1,aaaaaab=b infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9660 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:27,nodes:8,pairs:4,completionMax:11us [02m00s] 9660 ab:aa=1,aaaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9660 ab:aa=1,aaaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9661 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:8,pairs:3,completionMax:7us [02m00s] 9661 ab:aa=1,aaaaaba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 9661 ab:aa=1,aaaaaba=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 9662 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:5us [02m00s] 9662 ab:aa=1,aaaaabb=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9662 ab:aa=1,aaaaabb=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9663 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:21,nodes:8,pairs:3,completionMax:8us [02m00s] 9663 ab:aa=1,aaaaabb=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9663 ab:aa=1,aaaaabb=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9664 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:0us [02m00s] 9664 ab:aa=1,aaaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9664 ab:aa=1,aaaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9665 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9665 ab:aa=1,aaaabaa=b infinite ab - - ab:aa=1 [02m00s] from: 9665 ab:aa=1,aaaabaa=b infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9666 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:8,pairs:0,completionMax:2us [02m00s] 9666 ab:aa=1,aaaabab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9666 ab:aa=1,aaaabab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9667 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 9667 ab:aa=1,aaaabab=b infinite ab - - ab:aa=1,bab=b [02m00s] from: 9667 ab:aa=1,aaaabab=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9668 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:6us [02m00s] 9668 ab:aa=1,aaaabba=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9668 ab:aa=1,aaaabba=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9669 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:2,completionMax:10us [02m00s] 9669 ab:aa=1,aaaabba=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9669 ab:aa=1,aaaabba=b finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9670 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:17,nodes:12,pairs:2,completionMax:12us [02m00s] 9670 ab:aa=1,aaaabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9670 ab:aa=1,aaaabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9671 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 9671 ab:aa=1,aaaabbb=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9671 ab:aa=1,aaaabbb=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9672 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:29,nodes:8,pairs:4,completionMax:11us [02m00s] 9672 ab:aa=1,aaabaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9672 ab:aa=1,aaabaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9673 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:8,pairs:3,completionMax:8us [02m00s] 9673 ab:aa=1,aaabaaa=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 9673 ab:aa=1,aaabaaa=b infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 9674 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:3us [02m00s] 9674 ab:aa=1,aaabaab=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9674 ab:aa=1,aaabaab=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9675 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:23,nodes:8,pairs:3,completionMax:8us [02m00s] 9675 ab:aa=1,aaabaab=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9675 ab:aa=1,aaabaab=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9676 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:55,nodes:16,pairs:4,completionMax:20us [02m00s] 9676 ab:aa=1,aaababa=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9676 ab:aa=1,aaababa=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9677 solved: rounds:3,rules:4,peak:6,longest:5,steps:5,word:0,work:438,nodes:18,pairs:13,completionMax:57us [02m00s] 9677 ab:aa=1,aaababa=b finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 9677 ab:aa=1,aaababa=b finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 9678 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:188,nodes:16,pairs:8,completionMax:28us [02m00s] 9678 ab:aa=1,aaababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9678 ab:aa=1,aaababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9679 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:55,nodes:16,pairs:3,completionMax:12us [02m00s] 9679 ab:aa=1,aaababb=b infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 9679 ab:aa=1,aaababb=b infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 9680 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:3us [02m00s] 9680 ab:aa=1,aaabbaa=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9680 ab:aa=1,aaabbaa=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9681 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:24,nodes:8,pairs:3,completionMax:9us [02m00s] 9681 ab:aa=1,aaabbaa=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9681 ab:aa=1,aaabbaa=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9682 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:236,nodes:16,pairs:20,completionMax:41us [02m00s] 9682 ab:aa=1,aaabbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9682 ab:aa=1,aaabbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9683 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:99,nodes:16,pairs:6,completionMax:16us [02m00s] 9683 ab:aa=1,aaabbab=b infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 9683 ab:aa=1,aaabbab=b infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 9684 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:2,work:57,nodes:16,pairs:9,completionMax:19us [02m00s] 9684 ab:aa=1,aaabbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9684 ab:aa=1,aaabbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9685 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:321,nodes:36,pairs:8,completionMax:32us [02m00s] 9685 ab:aa=1,aaabbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 9685 ab:aa=1,aaabbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 9686 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:4,nodes:16,pairs:1,completionMax:6us [02m00s] 9686 ab:aa=1,aaabbbb=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9686 ab:aa=1,aaabbbb=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9687 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:34,nodes:16,pairs:3,completionMax:11us [02m00s] 9687 ab:aa=1,aaabbbb=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9687 ab:aa=1,aaabbbb=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9688 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:1us [02m00s] 9688 ab:aa=1,aabaaab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9688 ab:aa=1,aabaaab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9689 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 9689 ab:aa=1,aabaaab=b infinite ab - - ab:aa=1,bab=b [02m00s] from: 9689 ab:aa=1,aabaaab=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9690 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:6us [02m00s] 9690 ab:aa=1,aabaaba=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9690 ab:aa=1,aabaaba=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9691 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:19,nodes:8,pairs:2,completionMax:9us [02m00s] 9691 ab:aa=1,aabaaba=b finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9691 ab:aa=1,aabaaba=b finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9692 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:18,nodes:12,pairs:2,completionMax:10us [02m00s] 9692 ab:aa=1,aabaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9692 ab:aa=1,aabaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9693 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:4us [02m00s] 9693 ab:aa=1,aabaabb=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9693 ab:aa=1,aabaabb=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9694 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 9694 ab:aa=1,aababaa=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9694 ab:aa=1,aababaa=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9695 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 9695 ab:aa=1,aababaa=b infinite ab - - ab:aa=1,bab=b [02m00s] from: 9695 ab:aa=1,aababaa=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9696 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [02m00s] 9696 ab:aa=1,aababab=a infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9696 ab:aa=1,aababab=a infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9697 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:2us [02m00s] 9697 ab:aa=1,aababab=b infinite ab - - ab:aa=1,babab=b [02m00s] from: 9697 ab:aa=1,aababab=b infinite to: 1129 ab:aa=1,babab=b infinite a=a,b=b [02m00s] # 9698 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:196,nodes:14,pairs:17,completionMax:47us [02m00s] 9698 ab:aa=1,aababba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9698 ab:aa=1,aababba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9699 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:105,nodes:16,pairs:6,completionMax:21us [02m00s] 9699 ab:aa=1,aababba=b infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 9699 ab:aa=1,aababba=b infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 9700 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:501,nodes:24,pairs:11,completionMax:63us [02m00s] 9700 ab:aa=1,aababbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9700 ab:aa=1,aababbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9701 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:1us [02m00s] 9701 ab:aa=1,aababbb=b infinite ab - - ab:aa=1,babbb=b [02m00s] from: 9701 ab:aa=1,aababbb=b infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 9702 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:19,nodes:12,pairs:2,completionMax:8us [02m00s] 9702 ab:aa=1,aabbaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9702 ab:aa=1,aabbaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9703 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:4us [02m00s] 9703 ab:aa=1,aabbaab=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9703 ab:aa=1,aabbaab=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9704 solved: rounds:3,rules:2,peak:5,longest:6,steps:6,word:4,work:150,nodes:18,pairs:7,completionMax:28us [02m00s] 9704 ab:aa=1,aabbaba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9704 ab:aa=1,aabbaba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9705 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:54,nodes:16,pairs:3,completionMax:11us [02m00s] 9705 ab:aa=1,aabbaba=b infinite ab - - ab:aa=1,bbab=ba,babab=b [02m00s] from: 9705 ab:aa=1,aabbaba=b infinite to: 1117 ab:aa=1,ababb=b infinite anti:a=a,b=b [02m00s] # 9706 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:2,work:206,nodes:18,pairs:7,completionMax:25us [02m00s] 9706 ab:aa=1,aabbabb=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9706 ab:aa=1,aabbabb=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9707 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:173,nodes:16,pairs:5,completionMax:22us [02m00s] 9707 ab:aa=1,aabbabb=b infinite ab - - ab:aa=1,bbab=babb,babbb=b [02m00s] from: 9707 ab:aa=1,aabbabb=b infinite to: 1133 ab:aa=1,bbabb=b infinite a=a,b=b [02m00s] # 9708 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:20,nodes:12,pairs:2,completionMax:10us [02m00s] 9708 ab:aa=1,aabbbaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9708 ab:aa=1,aabbbaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9709 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 9709 ab:aa=1,aabbbaa=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9709 ab:aa=1,aabbbaa=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9710 solved: rounds:3,rules:3,peak:5,longest:11,steps:12,word:8,work:532,nodes:36,pairs:14,completionMax:57us [02m00s] 9710 ab:aa=1,aabbbab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9710 ab:aa=1,aabbbab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9711 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 9711 ab:aa=1,aabbbab=b infinite ab - - ab:aa=1,bbbab=b [02m00s] from: 9711 ab:aa=1,aabbbab=b infinite to: 1131 ab:aa=1,babbb=b infinite anti:a=a,b=b [02m00s] # 9712 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:7us [02m00s] 9712 ab:aa=1,aabbbba=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9712 ab:aa=1,aabbbba=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9713 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:30,nodes:16,pairs:2,completionMax:15us [02m00s] 9713 ab:aa=1,aabbbba=b finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 9713 ab:aa=1,aabbbba=b finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 9714 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:21,nodes:20,pairs:2,completionMax:14us [02m00s] 9714 ab:aa=1,aabbbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9714 ab:aa=1,aabbbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9715 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 9715 ab:aa=1,aabbbbb=b infinite ab - - ab:aa=1,bbbbb=b [02m00s] from: 9715 ab:aa=1,aabbbbb=b infinite to: 1135 ab:aa=1,bbbbb=b infinite a=a,b=b [02m00s] # 9716 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:6us [02m00s] 9716 ab:aa=1,abaaaab=a infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9716 ab:aa=1,abaaaab=a infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9717 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:3,completionMax:11us [02m00s] 9717 ab:aa=1,abaaaab=b finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9717 ab:aa=1,abaaaab=b finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9718 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:57,nodes:16,pairs:4,completionMax:17us [02m00s] 9718 ab:aa=1,abaaaba=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9718 ab:aa=1,abaaaba=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9719 solved: rounds:3,rules:4,peak:6,longest:5,steps:5,word:0,work:440,nodes:18,pairs:13,completionMax:61us [02m00s] 9719 ab:aa=1,abaaaba=b finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 9719 ab:aa=1,abaaaba=b finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 9720 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:190,nodes:16,pairs:8,completionMax:37us [02m00s] 9720 ab:aa=1,abaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9720 ab:aa=1,abaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9721 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:57,nodes:16,pairs:3,completionMax:13us [02m00s] 9721 ab:aa=1,abaaabb=b infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 9721 ab:aa=1,abaaabb=b infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 9722 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:238,nodes:16,pairs:20,completionMax:49us [02m00s] 9722 ab:aa=1,abaabab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9722 ab:aa=1,abaabab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9723 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:101,nodes:16,pairs:6,completionMax:20us [02m00s] 9723 ab:aa=1,abaabab=b infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 9723 ab:aa=1,abaabab=b infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 9724 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:2,work:59,nodes:16,pairs:9,completionMax:31us [02m00s] 9724 ab:aa=1,abaabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9724 ab:aa=1,abaabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9725 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:323,nodes:36,pairs:8,completionMax:29us [02m00s] 9725 ab:aa=1,abaabba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 9725 ab:aa=1,abaabba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 9726 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:6,nodes:16,pairs:1,completionMax:5us [02m00s] 9726 ab:aa=1,abaabbb=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9726 ab:aa=1,abaabbb=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9727 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:36,nodes:16,pairs:3,completionMax:10us [02m00s] 9727 ab:aa=1,abaabbb=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9727 ab:aa=1,abaabbb=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9728 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:192,nodes:16,pairs:8,completionMax:26us [02m00s] 9728 ab:aa=1,ababaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9728 ab:aa=1,ababaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9729 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:59,nodes:16,pairs:3,completionMax:19us [02m00s] 9729 ab:aa=1,ababaab=b infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 9729 ab:aa=1,ababaab=b infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 9730 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:89,nodes:24,pairs:4,completionMax:29us [02m00s] 9730 ab:aa=1,abababa=a infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9730 ab:aa=1,abababa=a infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9731 solved: rounds:3,rules:5,peak:6,longest:7,steps:6,word:2,work:1113,nodes:30,pairs:23,completionMax:119us [02m00s] 9731 ab:aa=1,abababa=b finite:18;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,aa=1,baba=ababbb [02m00s] # 9732 solved: rounds:5,rules:3,peak:8,longest:8,steps:6,word:4,work:2139,nodes:38,pairs:49,completionMax:226us [02m00s] 9732 ab:aa=1,abababb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9732 ab:aa=1,abababb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9733 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:0,work:78,nodes:24,pairs:3,completionMax:16us [02m00s] 9733 ab:aa=1,abababb=b infinite ab - - ab:aa=1,bababb=ab,bababab=b [02m00s] # 9734 solved: rounds:2,rules:5,peak:7,longest:7,steps:4,word:2,work:216,nodes:30,pairs:10,completionMax:32us [02m00s] 9734 ab:aa=1,ababbab=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9734 ab:aa=1,ababbab=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9735 solved: rounds:5,rules:3,peak:6,longest:7,steps:7,word:2,work:825,nodes:24,pairs:21,completionMax:67us [02m00s] 9735 ab:aa=1,ababbab=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9735 ab:aa=1,ababbab=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9736 solved: rounds:4,rules:3,peak:7,longest:8,steps:12,word:6,work:962,nodes:26,pairs:39,completionMax:112us [02m00s] 9736 ab:aa=1,ababbba=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9736 ab:aa=1,ababbba=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9737 solved: rounds:4,rules:9,peak:15,longest:11,steps:9,word:6,work:7812,nodes:52,pairs:58,completionMax:406us [02m00s] 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aa=1,aba=babbb,abbba=bbbbbab,abbbbba=bbbabbbbb,babba=abbbbabbbbb,babbbba=abbabbb [02m00s] # 9738 solved: rounds:4,rules:2,peak:5,longest:10,steps:6,word:4,work:505,nodes:32,pairs:18,completionMax:63us [02m00s] 9738 ab:aa=1,ababbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9738 ab:aa=1,ababbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9739 solved: rounds:5,rules:3,peak:7,longest:9,steps:5,word:4,work:1589,nodes:38,pairs:22,completionMax:112us [02m00s] 9739 ab:aa=1,ababbbb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba b/a - - ab:bbbbbbbbb=b,bab=abbbbbb,aa=1 [02m00s] # 9740 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:239,nodes:16,pairs:20,completionMax:45us [02m00s] 9740 ab:aa=1,abbaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9740 ab:aa=1,abbaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9741 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:102,nodes:16,pairs:6,completionMax:19us [02m00s] 9741 ab:aa=1,abbaaab=b infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 9741 ab:aa=1,abbaaab=b infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 9742 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:7,nodes:16,pairs:1,completionMax:8us [02m00s] 9742 ab:aa=1,abbaabb=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9742 ab:aa=1,abbaabb=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9743 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:37,nodes:16,pairs:3,completionMax:14us [02m00s] 9743 ab:aa=1,abbaabb=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9743 ab:aa=1,abbaabb=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9744 solved: rounds:5,rules:3,peak:6,longest:8,steps:12,word:4,work:866,nodes:28,pairs:27,completionMax:100us [02m00s] 9744 ab:aa=1,abbabab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9744 ab:aa=1,abbabab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9745 solved: rounds:4,rules:3,peak:8,longest:7,steps:4,word:4,work:981,nodes:30,pairs:42,completionMax:115us [02m00s] 9745 ab:aa=1,abbabab=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9745 ab:aa=1,abbabab=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9746 solved: rounds:4,rules:5,peak:7,longest:7,steps:5,word:2,work:307,nodes:27,pairs:16,completionMax:67us [02m00s] 9746 ab:aa=1,abbabba=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9746 ab:aa=1,abbabba=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9747 solved: rounds:4,rules:6,peak:8,longest:15,steps:7,word:8,work:3128,nodes:80,pairs:25,completionMax:177us [02m00s] 9747 ab:aa=1,abbabba=b finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,aa=1,aba=bbabb,abba=babbbbbbbbbb [02m00s] # 9748 solved: rounds:4,rules:2,peak:6,longest:10,steps:4,word:4,work:750,nodes:30,pairs:18,completionMax:67us [02m00s] 9748 ab:aa=1,abbabbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9748 ab:aa=1,abbabbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9749 solved: rounds:5,rules:7,peak:13,longest:7,steps:6,word:4,work:1499,nodes:48,pairs:29,completionMax:164us [02m00s] 9749 ab:aa=1,abbabbb=b infinite ac/b bb=c frequency:2/1 abc:aa=1,cacc=ac,cacac=c,bacac=b,cb=bc,cab=abaccac,bb=c [02m00s] # 9750 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:8,nodes:16,pairs:1,completionMax:9us [02m00s] 9750 ab:aa=1,abbbaab=a infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9750 ab:aa=1,abbbaab=a infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9751 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:38,nodes:16,pairs:3,completionMax:13us [02m00s] 9751 ab:aa=1,abbbaab=b finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9751 ab:aa=1,abbbaab=b finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9752 solved: rounds:4,rules:2,peak:10,longest:10,steps:5,word:4,work:1958,nodes:32,pairs:64,completionMax:456us [02m00s] 9752 ab:aa=1,abbbabb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9752 ab:aa=1,abbbabb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9753 solved: rounds:2,rules:3,peak:6,longest:11,steps:10,word:12,work:1631,nodes:36,pairs:10,completionMax:88us [02m00s] 9753 ab:aa=1,abbbabb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba b/a - - ab:bbbbbbbbb=b,bab=abbbbbb,aa=1 [02m00s] from: 9753 ab:aa=1,abbbabb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba to: 9739 ab:aa=1,ababbbb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba a=a,b=b [02m00s] # 9754 solved: rounds:5,rules:2,peak:9,longest:10,steps:6,word:4,work:1369,nodes:32,pairs:56,completionMax:169us [02m00s] 9754 ab:aa=1,abbbbab=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9754 ab:aa=1,abbbbab=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9755 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:0,work:143,nodes:24,pairs:6,completionMax:21us [02m00s] 9755 ab:aa=1,abbbbab=b infinite ab - - ab:aa=1,bbbbb=b,bbbbab=ab [02m00s] # 9756 solved: rounds:3,rules:2,peak:4,longest:10,steps:1,word:4,work:88,nodes:24,pairs:11,completionMax:33us [02m00s] 9756 ab:aa=1,abbbbba=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9756 ab:aa=1,abbbbba=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9757 solved: rounds:2,rules:3,peak:4,longest:26,steps:29,word:20,work:1364,nodes:100,pairs:8,completionMax:91us [02m00s] 9757 ab:aa=1,abbbbba=b finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbb,aa=1 [02m00s] # 9758 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:2,nodes:24,pairs:1,completionMax:14us [02m00s] 9758 ab:aa=1,abbbbbb=a infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 9758 ab:aa=1,abbbbbb=a infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9759 solved: rounds:2,rules:3,peak:3,longest:11,steps:1,word:4,work:48,nodes:24,pairs:3,completionMax:22us [02m00s] 9759 ab:aa=1,abbbbbb=b finite:22;idempotents:1,bbbbba,bbbbbbbbbb b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbb,aa=1 [02m00s] # 9760 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 9760 ab:aa=1,baaaaab=a infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9760 ab:aa=1,baaaaab=a infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9761 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 9761 ab:aa=1,baaaaab=b infinite ab - - ab:aa=1,bab=b [02m00s] from: 9761 ab:aa=1,baaaaab=b infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9762 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:19,nodes:12,pairs:2,completionMax:10us [02m00s] 9762 ab:aa=1,baaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9762 ab:aa=1,baaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9763 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 9763 ab:aa=1,baaaabb=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9763 ab:aa=1,baaaabb=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9764 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:4us [02m00s] 9764 ab:aa=1,baaabab=a infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9764 ab:aa=1,baaabab=a infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9765 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [02m00s] 9765 ab:aa=1,baaabab=b infinite ab - - ab:aa=1,babab=b [02m00s] from: 9765 ab:aa=1,baaabab=b infinite to: 1129 ab:aa=1,babab=b infinite a=a,b=b [02m00s] # 9766 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:502,nodes:24,pairs:11,completionMax:55us [02m00s] 9766 ab:aa=1,baaabbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9766 ab:aa=1,baaabbb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9767 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [02m00s] 9767 ab:aa=1,baaabbb=b infinite ab - - ab:aa=1,babbb=b [02m00s] from: 9767 ab:aa=1,baaabbb=b infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 9768 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:20,nodes:12,pairs:2,completionMax:8us [02m00s] 9768 ab:aa=1,baabaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9768 ab:aa=1,baabaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9769 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:3us [02m00s] 9769 ab:aa=1,baabaab=b infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9769 ab:aa=1,baabaab=b infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9770 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:2,work:207,nodes:18,pairs:7,completionMax:26us [02m00s] 9770 ab:aa=1,baababb=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9770 ab:aa=1,baababb=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9771 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:174,nodes:16,pairs:5,completionMax:17us [02m00s] 9771 ab:aa=1,baababb=b infinite ab - - ab:aa=1,bbab=babb,babbb=b [02m00s] from: 9771 ab:aa=1,baababb=b infinite to: 1133 ab:aa=1,bbabb=b infinite a=a,b=b [02m00s] # 9772 solved: rounds:3,rules:3,peak:5,longest:11,steps:12,word:8,work:533,nodes:36,pairs:14,completionMax:44us [02m00s] 9772 ab:aa=1,baabbab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9772 ab:aa=1,baabbab=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9773 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [02m00s] 9773 ab:aa=1,baabbab=b infinite ab - - ab:aa=1,bbbab=b [02m00s] from: 9773 ab:aa=1,baabbab=b infinite to: 1131 ab:aa=1,babbb=b infinite anti:a=a,b=b [02m00s] # 9774 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:22,nodes:20,pairs:2,completionMax:11us [02m00s] 9774 ab:aa=1,baabbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9774 ab:aa=1,baabbbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9775 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:4us [02m00s] 9775 ab:aa=1,baabbbb=b infinite ab - - ab:aa=1,bbbbb=b [02m00s] from: 9775 ab:aa=1,baabbbb=b infinite to: 1135 ab:aa=1,bbbbb=b infinite a=a,b=b [02m00s] # 9776 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:504,nodes:24,pairs:11,completionMax:53us [02m00s] 9776 ab:aa=1,babaabb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 9776 ab:aa=1,babaabb=a finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 9777 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:3us [02m00s] 9777 ab:aa=1,babaabb=b infinite ab - - ab:aa=1,babbb=b [02m00s] from: 9777 ab:aa=1,babaabb=b infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 9778 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:6us [02m00s] 9778 ab:aa=1,bababab=a infinite;group:a-a,b-abababa ab - - ab:aa=1,bababab=a [02m00s] from: 9778 ab:aa=1,bababab=a infinite;group:a-a,b-abababa to: 9456 ab:aa=1,abababab=1 infinite;group:a-a,b-abababa a=a,b=b [02m00s] # 9779 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:16,pairs:0,completionMax:3us [02m00s] 9779 ab:aa=1,bababab=b infinite ab - - ab:aa=1,bababab=b [02m00s] # 9780 solved: rounds:3,rules:4,peak:9,longest:12,steps:11,word:4,work:2681,nodes:50,pairs:30,completionMax:127us [02m00s] 9780 ab:aa=1,bababbb=a finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] from: 9780 ab:aa=1,bababbb=a finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb a=a,b=b [02m00s] # 9781 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:16,pairs:0,completionMax:2us [02m00s] 9781 ab:aa=1,bababbb=b infinite ab - - ab:aa=1,bababbb=b [02m00s] # 9782 solved: rounds:3,rules:2,peak:5,longest:11,steps:8,word:8,work:468,nodes:32,pairs:15,completionMax:55us [02m00s] 9782 ab:aa=1,babbabb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9782 ab:aa=1,babbabb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9783 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:16,pairs:0,completionMax:2us [02m00s] 9783 ab:aa=1,babbabb=b infinite ab - - ab:aa=1,babbabb=b [02m00s] # 9784 solved: rounds:3,rules:4,peak:6,longest:11,steps:6,word:4,work:1105,nodes:40,pairs:16,completionMax:89us [02m00s] 9784 ab:aa=1,babbbab=a finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,bba=abb,aa=1,aba=babbbbb [02m00s] from: 9784 ab:aa=1,babbbab=a finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb a=a,b=b [02m00s] # 9785 solved: rounds:4,rules:9,peak:15,longest:8,steps:5,word:0,work:2302,nodes:69,pairs:39,completionMax:149us [02m00s] 9785 ab:aa=1,babbbab=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aa=1,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [02m00s] # 9786 solved: rounds:4,rules:3,peak:8,longest:24,steps:14,word:36,work:3916,nodes:64,pairs:25,completionMax:225us [02m00s] 9786 ab:aa=1,babbbbb=a finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbb,aa=1 [02m00s] from: 9786 ab:aa=1,babbbbb=a finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 9787 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:16,pairs:0,completionMax:2us [02m00s] 9787 ab:aa=1,babbbbb=b infinite ab - - ab:aa=1,babbbbb=b [02m00s] # 9788 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:2,work:208,nodes:18,pairs:7,completionMax:31us [02m00s] 9788 ab:aa=1,bbaaabb=a infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 9788 ab:aa=1,bbaaabb=a infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 9789 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:175,nodes:16,pairs:5,completionMax:15us [02m00s] 9789 ab:aa=1,bbaaabb=b infinite ab - - ab:aa=1,bbab=babb,babbb=b [02m00s] from: 9789 ab:aa=1,bbaaabb=b infinite to: 1133 ab:aa=1,bbabb=b infinite a=a,b=b [02m00s] # 9790 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:23,nodes:20,pairs:2,completionMax:11us [02m00s] 9790 ab:aa=1,bbaabbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9790 ab:aa=1,bbaabbb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9791 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [02m00s] 9791 ab:aa=1,bbaabbb=b infinite ab - - ab:aa=1,bbbbb=b [02m00s] from: 9791 ab:aa=1,bbaabbb=b infinite to: 1135 ab:aa=1,bbbbb=b infinite a=a,b=b [02m00s] # 9792 solved: rounds:4,rules:2,peak:9,longest:10,steps:11,word:4,work:2059,nodes:30,pairs:32,completionMax:103us [02m00s] 9792 ab:aa=1,bbababb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 9792 ab:aa=1,bbababb=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 9793 solved: rounds:4,rules:9,peak:11,longest:8,steps:7,word:0,work:1579,nodes:51,pairs:27,completionMax:99us [02m00s] 9793 ab:aa=1,bbababb=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aa=1,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [02m00s] from: 9793 ab:aa=1,bbababb=b infinite to: 9785 ab:aa=1,babbbab=b infinite a=a,b=b,c=c [02m00s] # 9794 solved: rounds:3,rules:3,peak:7,longest:8,steps:6,word:0,work:1286,nodes:36,pairs:15,completionMax:101us [02m00s] 9794 ab:aa=1,bbabbbb=a infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bba=abb,bbbbbb=1 [02m00s] from: 9794 ab:aa=1,bbabbbb=a infinite;group:a-a,b-bbbbb to: 9474 ab:aa=1,abbabbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 9795 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:723,nodes:24,pairs:7,completionMax:36us [02m00s] 9795 ab:aa=1,bbabbbb=b infinite ab - - ab:aa=1,bbab=babb,babbbbb=b [02m00s] # 9796 solved: rounds:2,rules:5,peak:9,longest:7,steps:7,word:4,work:554,nodes:24,pairs:12,completionMax:52us [02m00s] 9796 ab:aa=1,bbbabbb=a infinite;group:a-a,b-bbaca,c-aca ac/b bbb=c frequency:3/1 abc:aa=1,cac=a,cb=bc,cab=abaca,bbb=c [02m00s] from: 9796 ab:aa=1,bbbabbb=a infinite;group:a-a,b-bbaca,c-aca to: 9478 ab:aa=1,abbbabbb=1 infinite;group:a-a,b-bbaca,c-aca a=a,b=b,c=c [02m00s] # 9797 solved: rounds:2,rules:3,peak:6,longest:8,steps:6,word:0,work:2278,nodes:34,pairs:16,completionMax:93us [02m00s] 9797 ab:aa=1,bbbabbb=b infinite ab - - ab:aa=1,bbab=babb,babbbbb=b [02m00s] from: 9797 ab:aa=1,bbbabbb=b infinite to: 9795 ab:aa=1,bbabbbb=b infinite a=a,b=b [02m00s] # 9798 solved: rounds:1,rules:2,peak:2,longest:14,steps:1,word:6,work:25,nodes:28,pairs:2,completionMax:19us [02m00s] 9798 ab:aa=1,bbbbbbb=a finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbb [02m00s] from: 9798 ab:aa=1,bbbbbbb=a finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b7;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=b [02m00s] # 9799 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:16,pairs:0,completionMax:6us [02m00s] 9799 ab:aa=1,bbbbbbb=b infinite ab - - ab:aa=1,bbbbbbb=b [02m00s] # 9800 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:46,nodes:14,pairs:2,completionMax:18us [02m00s] 9800 ab:ab=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9800 ab:ab=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9801 solved: rounds:1,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:16,pairs:1,completionMax:8us [02m00s] 9801 ab:ab=1,aaaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a a/b - - ab:aaaaaaaa=1,b=aaaaaaa [02m00s] from: 9801 ab:ab=1,aaaaaaa=b finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaaa,b=a [02m00s] # 9802 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:10,pairs:2,completionMax:14us [02m00s] 9802 ab:ab=1,aaaaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9802 ab:ab=1,aaaaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9803 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:7,nodes:12,pairs:1,completionMax:7us [02m00s] 9803 ab:ab=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9803 ab:ab=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9804 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:38,nodes:10,pairs:2,completionMax:16us [02m00s] 9804 ab:ab=1,aaaaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9804 ab:ab=1,aaaaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9805 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:7us [02m00s] 9805 ab:ab=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9805 ab:ab=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9806 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:29,nodes:6,pairs:2,completionMax:13us [02m00s] 9806 ab:ab=1,aaaaabb=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9806 ab:ab=1,aaaaabb=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9807 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:6us [02m00s] 9807 ab:ab=1,aaaaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9807 ab:ab=1,aaaaabb=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9808 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:37,nodes:10,pairs:2,completionMax:13us [02m00s] 9808 ab:ab=1,aaaabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9808 ab:ab=1,aaaabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9809 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:5,nodes:12,pairs:1,completionMax:7us [02m00s] 9809 ab:ab=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9809 ab:ab=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9810 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:6,pairs:2,completionMax:7us [02m00s] 9810 ab:ab=1,aaaabab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9810 ab:ab=1,aaaabab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9811 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:5us [02m00s] 9811 ab:ab=1,aaaabab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9811 ab:ab=1,aaaabab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9812 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:6,pairs:2,completionMax:11us [02m00s] 9812 ab:ab=1,aaaabba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9812 ab:ab=1,aaaabba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9813 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:5us [02m00s] 9813 ab:ab=1,aaaabba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9813 ab:ab=1,aaaabba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9814 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:0us [02m00s] 9814 ab:ab=1,aaaabbb=a infinite ab - - ab:ab=1 [02m00s] from: 9814 ab:ab=1,aaaabbb=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9815 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:5us [02m00s] 9815 ab:ab=1,aaaabbb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9815 ab:ab=1,aaaabbb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9816 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:36,nodes:10,pairs:2,completionMax:16us [02m00s] 9816 ab:ab=1,aaabaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9816 ab:ab=1,aaabaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9817 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:7us [02m00s] 9817 ab:ab=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9817 ab:ab=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9818 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:6,pairs:2,completionMax:9us [02m00s] 9818 ab:ab=1,aaabaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9818 ab:ab=1,aaabaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9819 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:6us [02m00s] 9819 ab:ab=1,aaabaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9819 ab:ab=1,aaabaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9820 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:6,pairs:2,completionMax:6us [02m00s] 9820 ab:ab=1,aaababa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9820 ab:ab=1,aaababa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9821 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:6us [02m00s] 9821 ab:ab=1,aaababa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9821 ab:ab=1,aaababa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9822 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:11,nodes:4,pairs:0,completionMax:1us [02m00s] 9822 ab:ab=1,aaababb=a infinite ab - - ab:ab=1 [02m00s] from: 9822 ab:ab=1,aaababb=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9823 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:4us [02m00s] 9823 ab:ab=1,aaababb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9823 ab:ab=1,aaababb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9824 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:6,pairs:2,completionMax:11us [02m00s] 9824 ab:ab=1,aaabbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9824 ab:ab=1,aaabbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9825 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:4us [02m00s] 9825 ab:ab=1,aaabbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9825 ab:ab=1,aaabbaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9826 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9826 ab:ab=1,aaabbab=a infinite ab - - ab:ab=1 [02m00s] from: 9826 ab:ab=1,aaabbab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9827 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 9827 ab:ab=1,aaabbab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9827 ab:ab=1,aaabbab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9828 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9828 ab:ab=1,aaabbba=a infinite ab - - ab:ab=1 [02m00s] from: 9828 ab:ab=1,aaabbba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9829 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 9829 ab:ab=1,aaabbba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9829 ab:ab=1,aaabbba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9830 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:10,pairs:2,completionMax:10us [02m00s] 9830 ab:ab=1,aabaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9830 ab:ab=1,aabaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9831 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:3,nodes:12,pairs:1,completionMax:4us [02m00s] 9831 ab:ab=1,aabaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9831 ab:ab=1,aabaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9832 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:6,pairs:2,completionMax:7us [02m00s] 9832 ab:ab=1,aabaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9832 ab:ab=1,aabaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9833 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:4us [02m00s] 9833 ab:ab=1,aabaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9833 ab:ab=1,aabaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9834 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:6,pairs:2,completionMax:5us [02m00s] 9834 ab:ab=1,aabaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9834 ab:ab=1,aabaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9835 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:2us [02m00s] 9835 ab:ab=1,aabaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9835 ab:ab=1,aabaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9836 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 9836 ab:ab=1,aabaabb=a infinite ab - - ab:ab=1 [02m00s] from: 9836 ab:ab=1,aabaabb=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9837 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:5us [02m00s] 9837 ab:ab=1,aabaabb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9837 ab:ab=1,aabaabb=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9838 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:10us [02m00s] 9838 ab:ab=1,aababaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9838 ab:ab=1,aababaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9839 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:5us [02m00s] 9839 ab:ab=1,aababaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9839 ab:ab=1,aababaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9840 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 9840 ab:ab=1,aababab=a infinite ab - - ab:ab=1 [02m00s] from: 9840 ab:ab=1,aababab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9841 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 9841 ab:ab=1,aababab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9841 ab:ab=1,aababab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9842 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9842 ab:ab=1,aababba=a infinite ab - - ab:ab=1 [02m00s] from: 9842 ab:ab=1,aababba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9843 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 9843 ab:ab=1,aababba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9843 ab:ab=1,aababba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9844 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:11us [02m00s] 9844 ab:ab=1,aabbaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9844 ab:ab=1,aabbaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9845 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:5,nodes:8,pairs:1,completionMax:6us [02m00s] 9845 ab:ab=1,aabbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9845 ab:ab=1,aabbaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9846 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9846 ab:ab=1,aabbaab=a infinite ab - - ab:ab=1 [02m00s] from: 9846 ab:ab=1,aabbaab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9847 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:5us [02m00s] 9847 ab:ab=1,aabbaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9847 ab:ab=1,aabbaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9848 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:0us [02m00s] 9848 ab:ab=1,aabbaba=a infinite ab - - ab:ab=1 [02m00s] from: 9848 ab:ab=1,aabbaba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9849 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:2us [02m00s] 9849 ab:ab=1,aabbaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9849 ab:ab=1,aabbaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9850 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:5us [02m00s] 9850 ab:ab=1,aabbbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9850 ab:ab=1,aabbbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9851 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:4,completionMax:16us [02m00s] 9851 ab:ab=1,aabbbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9851 ab:ab=1,aabbbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9852 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 9852 ab:ab=1,aabbbab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9852 ab:ab=1,aabbbab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9853 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9853 ab:ab=1,aabbbab=b infinite ab - - ab:ab=1 [02m00s] from: 9853 ab:ab=1,aabbbab=b infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9854 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:8,pairs:10,completionMax:24us [02m00s] 9854 ab:ab=1,aabbbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9854 ab:ab=1,aabbbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9855 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:4us [02m00s] 9855 ab:ab=1,aabbbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9855 ab:ab=1,aabbbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9856 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:34,nodes:10,pairs:2,completionMax:12us [02m00s] 9856 ab:ab=1,abaaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9856 ab:ab=1,abaaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9857 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:2,nodes:12,pairs:1,completionMax:6us [02m00s] 9857 ab:ab=1,abaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9857 ab:ab=1,abaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9858 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:6,pairs:2,completionMax:8us [02m00s] 9858 ab:ab=1,abaaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9858 ab:ab=1,abaaaab=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9859 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:6us [02m00s] 9859 ab:ab=1,abaaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9859 ab:ab=1,abaaaab=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9860 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:10us [02m00s] 9860 ab:ab=1,abaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9860 ab:ab=1,abaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9861 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:4us [02m00s] 9861 ab:ab=1,abaaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9861 ab:ab=1,abaaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9862 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:10us [02m00s] 9862 ab:ab=1,abaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9862 ab:ab=1,abaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9863 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:5,nodes:8,pairs:1,completionMax:7us [02m00s] 9863 ab:ab=1,abaabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9863 ab:ab=1,abaabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9864 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9864 ab:ab=1,abaabab=a infinite ab - - ab:ab=1 [02m00s] from: 9864 ab:ab=1,abaabab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9865 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 9865 ab:ab=1,abaabab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9865 ab:ab=1,abaabab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9866 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9866 ab:ab=1,abaabba=a infinite ab - - ab:ab=1 [02m00s] from: 9866 ab:ab=1,abaabba=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9867 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:3us [02m00s] 9867 ab:ab=1,abaabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9867 ab:ab=1,abaabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9868 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:6,pairs:2,completionMax:11us [02m00s] 9868 ab:ab=1,ababaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9868 ab:ab=1,ababaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9869 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:4,nodes:8,pairs:1,completionMax:4us [02m00s] 9869 ab:ab=1,ababaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9869 ab:ab=1,ababaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9870 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 9870 ab:ab=1,ababaab=a infinite ab - - ab:ab=1 [02m00s] from: 9870 ab:ab=1,ababaab=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9871 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:4,pairs:1,completionMax:4us [02m00s] 9871 ab:ab=1,ababaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9871 ab:ab=1,ababaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9872 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9872 ab:ab=1,abababa=a infinite ab - - ab:ab=1 [02m00s] from: 9872 ab:ab=1,abababa=a infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 9873 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:4,pairs:1,completionMax:2us [02m00s] 9873 ab:ab=1,abababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9873 ab:ab=1,abababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9874 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:7us [02m00s] 9874 ab:ab=1,ababbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9874 ab:ab=1,ababbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9875 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:4,completionMax:14us [02m00s] 9875 ab:ab=1,ababbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9875 ab:ab=1,ababbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9876 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:8,pairs:10,completionMax:18us [02m00s] 9876 ab:ab=1,ababbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9876 ab:ab=1,ababbba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9877 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:3us [02m00s] 9877 ab:ab=1,ababbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9877 ab:ab=1,ababbba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9878 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:100,nodes:16,pairs:11,completionMax:21us [02m00s] 9878 ab:ab=1,abbaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9878 ab:ab=1,abbaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9879 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:44,nodes:16,pairs:4,completionMax:15us [02m00s] 9879 ab:ab=1,abbaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9879 ab:ab=1,abbaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9880 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:9us [02m00s] 9880 ab:ab=1,abbaaab=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9880 ab:ab=1,abbaaab=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9881 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:4,completionMax:11us [02m00s] 9881 ab:ab=1,abbaaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9881 ab:ab=1,abbaaab=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9882 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:3us [02m00s] 9882 ab:ab=1,abbaaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9882 ab:ab=1,abbaaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9883 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:4,completionMax:8us [02m00s] 9883 ab:ab=1,abbaaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9883 ab:ab=1,abbaaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9884 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:3us [02m00s] 9884 ab:ab=1,abbabaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9884 ab:ab=1,abbabaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9885 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:4,completionMax:10us [02m00s] 9885 ab:ab=1,abbabaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9885 ab:ab=1,abbabaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9886 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:8,pairs:10,completionMax:14us [02m00s] 9886 ab:ab=1,abbabba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9886 ab:ab=1,abbabba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9887 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:12us [02m00s] 9887 ab:ab=1,abbabba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9887 ab:ab=1,abbabba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9888 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:32,nodes:16,pairs:11,completionMax:31us [02m00s] 9888 ab:ab=1,abbbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9888 ab:ab=1,abbbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9889 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:214,nodes:16,pairs:22,completionMax:47us [02m00s] 9889 ab:ab=1,abbbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9889 ab:ab=1,abbbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9890 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:57,nodes:8,pairs:10,completionMax:16us [02m00s] 9890 ab:ab=1,abbbaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9890 ab:ab=1,abbbaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9891 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:4us [02m00s] 9891 ab:ab=1,abbbaba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9891 ab:ab=1,abbbaba=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9892 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:205,nodes:16,pairs:21,completionMax:44us [02m00s] 9892 ab:ab=1,abbbbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9892 ab:ab=1,abbbbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9893 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:31,nodes:14,pairs:11,completionMax:33us [02m00s] 9893 ab:ab=1,abbbbaa=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9893 ab:ab=1,abbbbaa=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9894 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:2,work:212,nodes:14,pairs:20,completionMax:68us [02m00s] 9894 ab:ab=1,abbbbba=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9894 ab:ab=1,abbbbba=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9895 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:205,nodes:12,pairs:20,completionMax:47us [02m00s] 9895 ab:ab=1,abbbbba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9895 ab:ab=1,abbbbba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9896 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:2,work:217,nodes:24,pairs:15,completionMax:53us [02m00s] 9896 ab:ab=1,baaaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9896 ab:ab=1,baaaaaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9897 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:4,work:56,nodes:24,pairs:4,completionMax:28us [02m00s] 9897 ab:ab=1,baaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 9897 ab:ab=1,baaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 9898 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:104,nodes:16,pairs:11,completionMax:27us [02m00s] 9898 ab:ab=1,baaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9898 ab:ab=1,baaaaba=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9899 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:48,nodes:16,pairs:4,completionMax:18us [02m00s] 9899 ab:ab=1,baaaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9899 ab:ab=1,baaaaba=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9900 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:103,nodes:16,pairs:11,completionMax:26us [02m00s] 9900 ab:ab=1,baaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9900 ab:ab=1,baaabaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9901 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:47,nodes:16,pairs:4,completionMax:17us [02m00s] 9901 ab:ab=1,baaabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9901 ab:ab=1,baaabaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9902 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:8,pairs:1,completionMax:6us [02m00s] 9902 ab:ab=1,baaabba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9902 ab:ab=1,baaabba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9903 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:40,nodes:8,pairs:4,completionMax:17us [02m00s] 9903 ab:ab=1,baaabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9903 ab:ab=1,baaabba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9904 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:102,nodes:16,pairs:11,completionMax:32us [02m00s] 9904 ab:ab=1,baabaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9904 ab:ab=1,baabaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9905 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:46,nodes:16,pairs:4,completionMax:17us [02m00s] 9905 ab:ab=1,baabaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9905 ab:ab=1,baabaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9906 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:8,pairs:1,completionMax:3us [02m00s] 9906 ab:ab=1,baababa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9906 ab:ab=1,baababa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9907 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:4,completionMax:14us [02m00s] 9907 ab:ab=1,baababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9907 ab:ab=1,baababa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9908 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:3us [02m00s] 9908 ab:ab=1,baabbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9908 ab:ab=1,baabbaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9909 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:4,completionMax:15us [02m00s] 9909 ab:ab=1,baabbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9909 ab:ab=1,baabbaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9910 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:101,nodes:16,pairs:11,completionMax:29us [02m00s] 9910 ab:ab=1,babaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9910 ab:ab=1,babaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9911 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:45,nodes:16,pairs:4,completionMax:17us [02m00s] 9911 ab:ab=1,babaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9911 ab:ab=1,babaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9912 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:5us [02m00s] 9912 ab:ab=1,babaaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9912 ab:ab=1,babaaba=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9913 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:4,completionMax:11us [02m00s] 9913 ab:ab=1,babaaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9913 ab:ab=1,babaaba=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9914 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:7us [02m00s] 9914 ab:ab=1,bababaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9914 ab:ab=1,bababaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9915 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:4,completionMax:13us [02m00s] 9915 ab:ab=1,bababaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9915 ab:ab=1,bababaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9916 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:33,nodes:16,pairs:11,completionMax:23us [02m00s] 9916 ab:ab=1,babbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9916 ab:ab=1,babbaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9917 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:215,nodes:16,pairs:22,completionMax:45us [02m00s] 9917 ab:ab=1,babbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9917 ab:ab=1,babbaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9918 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:206,nodes:16,pairs:21,completionMax:45us [02m00s] 9918 ab:ab=1,babbbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9918 ab:ab=1,babbbaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9919 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:32,nodes:14,pairs:11,completionMax:16us [02m00s] 9919 ab:ab=1,babbbaa=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9919 ab:ab=1,babbbaa=b infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9920 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:353,nodes:28,pairs:17,completionMax:45us [02m00s] 9920 ab:ab=1,bbaaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9920 ab:ab=1,bbaaaaa=a finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9921 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:354,nodes:28,pairs:23,completionMax:71us [02m00s] 9921 ab:ab=1,bbaaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 9921 ab:ab=1,bbaaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 9922 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:35,nodes:16,pairs:11,completionMax:25us [02m00s] 9922 ab:ab=1,bbaabaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9922 ab:ab=1,bbaabaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9923 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:217,nodes:16,pairs:22,completionMax:47us [02m00s] 9923 ab:ab=1,bbaabaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9923 ab:ab=1,bbaabaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9924 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:34,nodes:16,pairs:11,completionMax:23us [02m00s] 9924 ab:ab=1,bbabaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9924 ab:ab=1,bbabaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9925 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:216,nodes:16,pairs:22,completionMax:46us [02m00s] 9925 ab:ab=1,bbabaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9925 ab:ab=1,bbabaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9926 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:0,work:52,nodes:22,pairs:12,completionMax:25us [02m00s] 9926 ab:ab=1,bbbaaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 9926 ab:ab=1,bbbaaaa=a infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 9927 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:0,work:251,nodes:26,pairs:25,completionMax:60us [02m00s] 9927 ab:ab=1,bbbaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9927 ab:ab=1,bbbaaaa=b finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9928 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 9928 ab:aa=1,aaaaaa=aa infinite ab - - ab:aa=1 [02m00s] from: 9928 ab:aa=1,aaaaaa=aa infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9929 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:7us [02m00s] 9929 ab:aa=1,aaaaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9929 ab:aa=1,aaaaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9930 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:6,pairs:0,completionMax:2us [02m00s] 9930 ab:aa=1,aaaaaa=bb infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9930 ab:aa=1,aaaaaa=bb infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9931 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [02m00s] 9931 ab:aa=1,aaaaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9931 ab:aa=1,aaaaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9932 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 9932 ab:aa=1,aaaaab=ab infinite ab - - ab:aa=1 [02m00s] from: 9932 ab:aa=1,aaaaab=ab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9933 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9933 ab:aa=1,aaaaab=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 9933 ab:aa=1,aaaaab=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 9934 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:4us [02m00s] 9934 ab:aa=1,aaaaab=bb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9934 ab:aa=1,aaaaab=bb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9935 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:2us [02m00s] 9935 ab:aa=1,aaaaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9935 ab:aa=1,aaaaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9936 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [02m00s] 9936 ab:aa=1,aaaaba=ab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 9936 ab:aa=1,aaaaba=ab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 9937 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:0us [02m00s] 9937 ab:aa=1,aaaaba=ba infinite ab - - ab:aa=1 [02m00s] from: 9937 ab:aa=1,aaaaba=ba infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9938 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:4us [02m00s] 9938 ab:aa=1,aaaaba=bb finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9938 ab:aa=1,aaaaba=bb finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9939 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [02m00s] 9939 ab:aa=1,aaaabb=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9939 ab:aa=1,aaaabb=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9940 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:4us [02m00s] 9940 ab:aa=1,aaaabb=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9940 ab:aa=1,aaaabb=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9941 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:3us [02m00s] 9941 ab:aa=1,aaaabb=ba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9941 ab:aa=1,aaaabb=ba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9942 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:0us [02m00s] 9942 ab:aa=1,aaaabb=bb infinite ab - - ab:aa=1 [02m00s] from: 9942 ab:aa=1,aaaabb=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9943 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:4us [02m00s] 9943 ab:aa=1,aaabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 9943 ab:aa=1,aaabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 9944 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9944 ab:aa=1,aaabaa=ab infinite ab - - ab:aa=1 [02m00s] from: 9944 ab:aa=1,aaabaa=ab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9945 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:1us [02m00s] 9945 ab:aa=1,aaabaa=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 9945 ab:aa=1,aaabaa=ba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 9946 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:20,nodes:8,pairs:1,completionMax:4us [02m00s] 9946 ab:aa=1,aaabaa=bb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9946 ab:aa=1,aaabaa=bb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9947 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:12,pairs:1,completionMax:6us [02m00s] 9947 ab:aa=1,aaabab=aa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9947 ab:aa=1,aaabab=aa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9948 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:12,pairs:1,completionMax:8us [02m00s] 9948 ab:aa=1,aaabab=ab infinite ab - - ab:aa=1,bab=b [02m00s] from: 9948 ab:aa=1,aaabab=ab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9949 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:197,nodes:14,pairs:11,completionMax:30us [02m00s] 9949 ab:aa=1,aaabab=ba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 9949 ab:aa=1,aaabab=ba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 9950 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:2,completionMax:8us [02m00s] 9950 ab:aa=1,aaabab=bb infinite ab - - ab:aa=1,bab=abb [02m00s] from: 9950 ab:aa=1,aaabab=bb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 9951 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:12,pairs:7,completionMax:15us [02m00s] 9951 ab:aa=1,aaabba=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9951 ab:aa=1,aaabba=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9952 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:107,nodes:12,pairs:8,completionMax:23us [02m00s] 9952 ab:aa=1,aaabba=ab finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9952 ab:aa=1,aaabba=ab finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9953 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:110,nodes:10,pairs:8,completionMax:16us [02m00s] 9953 ab:aa=1,aaabba=ba finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9953 ab:aa=1,aaabba=ba finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9954 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:3,completionMax:9us [02m00s] 9954 ab:aa=1,aaabba=bb infinite ab - - ab:aa=1,bba=abb [02m00s] from: 9954 ab:aa=1,aaabba=bb infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 9955 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:21,nodes:12,pairs:4,completionMax:12us [02m00s] 9955 ab:aa=1,aaabbb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9955 ab:aa=1,aaabbb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9956 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:9us [02m00s] 9956 ab:aa=1,aaabbb=ab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9956 ab:aa=1,aaabbb=ab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9957 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:119,nodes:20,pairs:1,completionMax:15us [02m00s] 9957 ab:aa=1,aaabbb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 9957 ab:aa=1,aaabbb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 9958 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:49,nodes:12,pairs:3,completionMax:8us [02m00s] 9958 ab:aa=1,aaabbb=bb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 9958 ab:aa=1,aaabbb=bb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 9959 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 9959 ab:aa=1,aabaab=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9959 ab:aa=1,aabaab=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9960 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:19,nodes:8,pairs:1,completionMax:4us [02m00s] 9960 ab:aa=1,aabaab=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9960 ab:aa=1,aabaab=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9961 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:19,nodes:8,pairs:1,completionMax:4us [02m00s] 9961 ab:aa=1,aabaab=ba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9961 ab:aa=1,aabaab=ba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9962 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 9962 ab:aa=1,aabaab=bb infinite ab - - ab:aa=1 [02m00s] from: 9962 ab:aa=1,aabaab=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9963 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:10,pairs:1,completionMax:9us [02m00s] 9963 ab:aa=1,aababa=aa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9963 ab:aa=1,aababa=aa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9964 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:198,nodes:14,pairs:11,completionMax:34us [02m00s] 9964 ab:aa=1,aababa=ab finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 9964 ab:aa=1,aababa=ab finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 9965 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:10,pairs:1,completionMax:6us [02m00s] 9965 ab:aa=1,aababa=ba infinite ab - - ab:aa=1,bab=b [02m00s] from: 9965 ab:aa=1,aababa=ba infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9966 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:60,nodes:10,pairs:2,completionMax:11us [02m00s] 9966 ab:aa=1,aababa=bb infinite ba - - ab:aa=1,bab=bba [02m00s] from: 9966 ab:aa=1,aababa=bb infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 9967 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:180,nodes:16,pairs:6,completionMax:38us [02m00s] 9967 ab:aa=1,aababb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9967 ab:aa=1,aababb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9968 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:45,nodes:12,pairs:1,completionMax:7us [02m00s] 9968 ab:aa=1,aababb=ab infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 9968 ab:aa=1,aababb=ab infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 9969 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:33,nodes:12,pairs:1,completionMax:4us [02m00s] 9969 ab:aa=1,aababb=ba infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 9969 ab:aa=1,aababb=ba infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 9970 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [02m00s] 9970 ab:aa=1,aababb=bb infinite ab - - ab:aa=1,babb=bb [02m00s] from: 9970 ab:aa=1,aababb=bb infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 9971 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 9971 ab:aa=1,aabbaa=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9971 ab:aa=1,aabbaa=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9972 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:20,nodes:8,pairs:1,completionMax:5us [02m00s] 9972 ab:aa=1,aabbaa=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 9972 ab:aa=1,aabbaa=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 9973 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 9973 ab:aa=1,aabbaa=bb infinite ab - - ab:aa=1 [02m00s] from: 9973 ab:aa=1,aabbaa=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 9974 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:157,nodes:14,pairs:15,completionMax:39us [02m00s] 9974 ab:aa=1,aabbab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9974 ab:aa=1,aabbab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9975 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:35,nodes:10,pairs:1,completionMax:6us [02m00s] 9975 ab:aa=1,aabbab=ab infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 9975 ab:aa=1,aabbab=ab infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 9976 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:42,nodes:16,pairs:1,completionMax:7us [02m00s] 9976 ab:aa=1,aabbab=ba infinite ab - - ab:aa=1,bbab=ba,babab=b [02m00s] from: 9976 ab:aa=1,aabbab=ba infinite to: 1117 ab:aa=1,ababb=b infinite anti:a=a,b=b [02m00s] # 9977 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [02m00s] 9977 ab:aa=1,aabbab=bb infinite ab - - ab:aa=1,bbab=bb [02m00s] from: 9977 ab:aa=1,aabbab=bb infinite to: 1200 ab:aa=1,babb=bb infinite anti:a=a,b=b [02m00s] # 9978 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:15,nodes:12,pairs:3,completionMax:10us [02m00s] 9978 ab:aa=1,aabbba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9978 ab:aa=1,aabbba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9979 solved: rounds:4,rules:3,peak:4,longest:10,steps:11,word:4,work:283,nodes:36,pairs:7,completionMax:39us [02m00s] 9979 ab:aa=1,aabbba=ab finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 9979 ab:aa=1,aabbba=ab finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 9980 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:1,completionMax:9us [02m00s] 9980 ab:aa=1,aabbba=ba infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9980 ab:aa=1,aabbba=ba infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9981 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:45,nodes:10,pairs:2,completionMax:11us [02m00s] 9981 ab:aa=1,aabbba=bb infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 9981 ab:aa=1,aabbba=bb infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 9982 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:3us [02m00s] 9982 ab:aa=1,aabbbb=aa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 9982 ab:aa=1,aabbbb=aa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 9983 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:27,nodes:16,pairs:1,completionMax:11us [02m00s] 9983 ab:aa=1,aabbbb=ab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 9983 ab:aa=1,aabbbb=ab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 9984 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:30,nodes:16,pairs:1,completionMax:9us [02m00s] 9984 ab:aa=1,aabbbb=ba finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 9984 ab:aa=1,aabbbb=ba finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 9985 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:2us [02m00s] 9985 ab:aa=1,aabbbb=bb infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 9985 ab:aa=1,aabbbb=bb infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 9986 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:12,pairs:1,completionMax:8us [02m00s] 9986 ab:aa=1,abaaab=aa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 9986 ab:aa=1,abaaab=aa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 9987 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:12,pairs:1,completionMax:6us [02m00s] 9987 ab:aa=1,abaaab=ab infinite ab - - ab:aa=1,bab=b [02m00s] from: 9987 ab:aa=1,abaaab=ab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 9988 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:199,nodes:14,pairs:11,completionMax:30us [02m00s] 9988 ab:aa=1,abaaab=ba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 9988 ab:aa=1,abaaab=ba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 9989 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:12,pairs:2,completionMax:7us [02m00s] 9989 ab:aa=1,abaaab=bb infinite ab - - ab:aa=1,bab=abb [02m00s] from: 9989 ab:aa=1,abaaab=bb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 9990 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:46,nodes:12,pairs:7,completionMax:17us [02m00s] 9990 ab:aa=1,abaaba=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 9990 ab:aa=1,abaaba=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 9991 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:109,nodes:12,pairs:8,completionMax:19us [02m00s] 9991 ab:aa=1,abaaba=ab finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 9991 ab:aa=1,abaaba=ab finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 9992 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:12,pairs:3,completionMax:10us [02m00s] 9992 ab:aa=1,abaaba=bb infinite ab - - ab:aa=1,bba=abb [02m00s] from: 9992 ab:aa=1,abaaba=bb infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 9993 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:23,nodes:12,pairs:4,completionMax:12us [02m00s] 9993 ab:aa=1,abaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 9993 ab:aa=1,abaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 9994 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:6us [02m00s] 9994 ab:aa=1,abaabb=ab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 9994 ab:aa=1,abaabb=ab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 9995 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:121,nodes:20,pairs:1,completionMax:14us [02m00s] 9995 ab:aa=1,abaabb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 9995 ab:aa=1,abaabb=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 9996 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:3,completionMax:10us [02m00s] 9996 ab:aa=1,abaabb=bb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 9996 ab:aa=1,abaabb=bb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 9997 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:30,nodes:20,pairs:1,completionMax:12us [02m00s] 9997 ab:aa=1,ababab=aa infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 9997 ab:aa=1,ababab=aa infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 9998 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:20,pairs:1,completionMax:15us [02m00s] 9998 ab:aa=1,ababab=ab infinite ab - - ab:aa=1,babab=b [02m00s] from: 9998 ab:aa=1,ababab=ab infinite to: 1129 ab:aa=1,babab=b infinite a=a,b=b [02m00s] # 9999 solved: rounds:3,rules:5,peak:7,longest:6,steps:6,word:2,work:879,nodes:26,pairs:25,completionMax:72us [02m00s] 9999 ab:aa=1,ababab=ba finite:18;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,aa=1,baba=ababbb [02m00s] from: 9999 ab:aa=1,ababab=ba finite:18;idempotents:1,bbbb;center:1,bb,bbbb to: 9731 ab:aa=1,abababa=b finite:18;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [02m00s] # 10000 solved: rounds:3,rules:5,peak:6,longest:6,steps:5,word:0,work:1183,nodes:32,pairs:14,completionMax:80us [02m00s] 10000 ab:aa=1,ababab=bb finite:26;idempotents:1,bbbb,abbbba ab - - ab:aa=1,bbab=abbb,babab=abb,babbb=ababb,bbbbb=bbb [02m00s] # 10001 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:2,work:311,nodes:20,pairs:28,completionMax:56us [02m00s] 10001 ab:aa=1,ababba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10001 ab:aa=1,ababba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10002 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:237,nodes:22,pairs:15,completionMax:35us [02m00s] 10002 ab:aa=1,ababba=ab infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 10002 ab:aa=1,ababba=ab infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 10003 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:282,nodes:22,pairs:14,completionMax:31us [02m00s] 10003 ab:aa=1,ababba=ba infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10003 ab:aa=1,ababba=ba infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10004 solved: rounds:3,rules:4,peak:11,longest:6,steps:3,word:0,work:2219,nodes:34,pairs:36,completionMax:122us [02m00s] 10004 ab:aa=1,ababba=bb infinite ba - - ab:aa=1,bba=bbb,abb=bbb,bbbb=bb [02m00s] # 10005 solved: rounds:4,rules:3,peak:6,longest:8,steps:6,word:4,work:509,nodes:24,pairs:13,completionMax:44us [02m00s] 10005 ab:aa=1,ababbb=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 10005 ab:aa=1,ababbb=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 10006 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:24,nodes:20,pairs:1,completionMax:4us [02m00s] 10006 ab:aa=1,ababbb=ab infinite ab - - ab:aa=1,babbb=b [02m00s] from: 10006 ab:aa=1,ababbb=ab infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 10007 solved: rounds:5,rules:9,peak:14,longest:11,steps:9,word:8,work:9841,nodes:50,pairs:39,completionMax:310us [02m00s] 10007 ab:aa=1,ababbb=ba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aa=1,aba=babbb,abbba=bbbbbab,abbbbba=bbbabbbbb,babba=abbbbabbbbb,babbbba=abbabbb [02m00s] from: 10007 ab:aa=1,ababbb=ba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb to: 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=b [02m00s] # 10008 solved: rounds:3,rules:4,peak:4,longest:7,steps:3,word:0,work:254,nodes:20,pairs:8,completionMax:22us [02m00s] 10008 ab:aa=1,ababbb=bb infinite ab - - ab:aa=1,babbb=abb,bababb=bb,babbabb=ababb [02m00s] # 10009 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:24,nodes:12,pairs:4,completionMax:9us [02m00s] 10009 ab:aa=1,abbaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10009 ab:aa=1,abbaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10010 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:12,pairs:1,completionMax:9us [02m00s] 10010 ab:aa=1,abbaab=ab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10010 ab:aa=1,abbaab=ab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10011 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:122,nodes:20,pairs:1,completionMax:13us [02m00s] 10011 ab:aa=1,abbaab=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10011 ab:aa=1,abbaab=ba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10012 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:12,pairs:3,completionMax:11us [02m00s] 10012 ab:aa=1,abbaab=bb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10012 ab:aa=1,abbaab=bb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10013 solved: rounds:4,rules:5,peak:8,longest:6,steps:6,word:2,work:462,nodes:27,pairs:18,completionMax:55us [02m00s] 10013 ab:aa=1,abbabb=aa infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 10013 ab:aa=1,abbabb=aa infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 10014 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:484,nodes:24,pairs:11,completionMax:43us [02m00s] 10014 ab:aa=1,abbabb=ab infinite ab - - ab:aa=1,bbab=babb,babbb=b [02m00s] from: 10014 ab:aa=1,abbabb=ab infinite to: 1133 ab:aa=1,bbabb=b infinite a=a,b=b [02m00s] # 10015 solved: rounds:3,rules:6,peak:7,longest:14,steps:6,word:8,work:1618,nodes:56,pairs:25,completionMax:129us [02m00s] 10015 ab:aa=1,abbabb=ba finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,aa=1,aba=bbabb,abba=babbbbbbbbbb [02m00s] from: 10015 ab:aa=1,abbabb=ba finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb to: 9747 ab:aa=1,abbabba=b finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=a,b=b [02m00s] # 10016 solved: rounds:4,rules:15,peak:18,longest:6,steps:6,word:4,work:2924,nodes:54,pairs:46,completionMax:194us [02m00s] 10016 ab:aa=1,abbabb=bb infinite bc/a bab=c frequency:3/1 abc:ccb=bbb,ccc=bbc,bbbb=bb,bbbc=bc,bbcb=cb,bbcc=cc,cbbb=cb,cbbc=cc,abb=bcb,abc=bcc,acb=bcbcb,acc=bcbcc,bab=c,cab=bac,aa=1 [02m00s] # 10017 solved: rounds:3,rules:3,peak:5,longest:10,steps:12,word:12,work:849,nodes:30,pairs:11,completionMax:76us [02m00s] 10017 ab:aa=1,abbbab=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 10017 ab:aa=1,abbbab=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 10018 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:20,pairs:1,completionMax:10us [02m00s] 10018 ab:aa=1,abbbab=ab infinite ab - - ab:aa=1,bbbab=b [02m00s] from: 10018 ab:aa=1,abbbab=ab infinite to: 1131 ab:aa=1,babbb=b infinite anti:a=a,b=b [02m00s] # 10019 solved: rounds:4,rules:9,peak:18,longest:11,steps:7,word:6,work:9962,nodes:86,pairs:88,completionMax:513us [02m00s] 10019 ab:aa=1,abbbab=ba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aa=1,aba=bbbab,abbba=babbbbb,abbbbba=bbbbbabbb,babba=abbbbabbbbb,babbbba=abbabbb [02m00s] # 10020 solved: rounds:5,rules:4,peak:7,longest:11,steps:5,word:4,work:1639,nodes:50,pairs:10,completionMax:103us [02m00s] 10020 ab:aa=1,abbbab=bb infinite b/a - - ab:bbbbbbbbbb=bb,babb=abbbbb,bbab=abbbbbbb,aa=1 [02m00s] # 10021 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:20,pairs:7,completionMax:29us [02m00s] 10021 ab:aa=1,abbbba=aa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 10021 ab:aa=1,abbbba=aa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 10022 solved: rounds:3,rules:3,peak:5,longest:9,steps:1,word:2,work:248,nodes:30,pairs:14,completionMax:40us [02m00s] 10022 ab:aa=1,abbbba=ab finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 10022 ab:aa=1,abbbba=ab finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 10023 solved: rounds:2,rules:3,peak:4,longest:9,steps:5,word:4,work:331,nodes:32,pairs:7,completionMax:29us [02m00s] 10023 ab:aa=1,abbbba=bb infinite b/a - - ab:bbbbbbbb=bb,bba=abbbb,aa=1 [02m00s] # 10024 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:4,work:29,nodes:20,pairs:4,completionMax:18us [02m00s] 10024 ab:aa=1,abbbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 10024 ab:aa=1,abbbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 10025 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:24,nodes:20,pairs:1,completionMax:11us [02m00s] 10025 ab:aa=1,abbbbb=ab infinite ab - - ab:aa=1,bbbbb=b [02m00s] from: 10025 ab:aa=1,abbbbb=ab infinite to: 1135 ab:aa=1,bbbbb=b infinite a=a,b=b [02m00s] # 10026 solved: rounds:1,rules:3,peak:3,longest:25,steps:29,word:20,work:583,nodes:52,pairs:1,completionMax:59us [02m00s] 10026 ab:aa=1,abbbbb=ba finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbb,aa=1 [02m00s] from: 10026 ab:aa=1,abbbbb=ba finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 9757 ab:aa=1,abbbbba=b finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 10027 solved: rounds:2,rules:3,peak:3,longest:8,steps:1,word:2,work:65,nodes:20,pairs:3,completionMax:19us [02m00s] 10027 ab:aa=1,abbbbb=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbb,aa=1 [02m00s] # 10028 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:4us [02m00s] 10028 ab:aa=1,baaaab=aa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10028 ab:aa=1,baaaab=aa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10029 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:20,nodes:8,pairs:1,completionMax:5us [02m00s] 10029 ab:aa=1,baaaab=ab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10029 ab:aa=1,baaaab=ab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10030 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10030 ab:aa=1,baaaab=bb infinite ab - - ab:aa=1 [02m00s] from: 10030 ab:aa=1,baaaab=bb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10031 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:181,nodes:16,pairs:6,completionMax:25us [02m00s] 10031 ab:aa=1,baaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10031 ab:aa=1,baaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10032 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:46,nodes:12,pairs:1,completionMax:7us [02m00s] 10032 ab:aa=1,baaabb=ab infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10032 ab:aa=1,baaabb=ab infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10033 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:7us [02m00s] 10033 ab:aa=1,baaabb=ba infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 10033 ab:aa=1,baaabb=ba infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 10034 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:1us [02m00s] 10034 ab:aa=1,baaabb=bb infinite ab - - ab:aa=1,babb=bb [02m00s] from: 10034 ab:aa=1,baaabb=bb infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 10035 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:158,nodes:14,pairs:15,completionMax:33us [02m00s] 10035 ab:aa=1,baabab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10035 ab:aa=1,baabab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10036 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:36,nodes:10,pairs:1,completionMax:8us [02m00s] 10036 ab:aa=1,baabab=ab infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 10036 ab:aa=1,baabab=ab infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 10037 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:43,nodes:16,pairs:1,completionMax:6us [02m00s] 10037 ab:aa=1,baabab=ba infinite ab - - ab:aa=1,bbab=ba,babab=b [02m00s] from: 10037 ab:aa=1,baabab=ba infinite to: 1117 ab:aa=1,ababb=b infinite anti:a=a,b=b [02m00s] # 10038 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [02m00s] 10038 ab:aa=1,baabab=bb infinite ab - - ab:aa=1,bbab=bb [02m00s] from: 10038 ab:aa=1,baabab=bb infinite to: 1200 ab:aa=1,babb=bb infinite anti:a=a,b=b [02m00s] # 10039 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:10,pairs:0,completionMax:2us [02m00s] 10039 ab:aa=1,baabbb=aa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 10039 ab:aa=1,baabbb=aa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 10040 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:28,nodes:16,pairs:1,completionMax:8us [02m00s] 10040 ab:aa=1,baabbb=ab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10040 ab:aa=1,baabbb=ab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10041 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:31,nodes:16,pairs:1,completionMax:6us [02m00s] 10041 ab:aa=1,baabbb=ba finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 10041 ab:aa=1,baabbb=ba finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 10042 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [02m00s] 10042 ab:aa=1,baabbb=bb infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 10042 ab:aa=1,baabbb=bb infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 10043 solved: rounds:4,rules:3,peak:8,longest:8,steps:6,word:4,work:2129,nodes:38,pairs:47,completionMax:143us [02m00s] 10043 ab:aa=1,bababb=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 10043 ab:aa=1,bababb=aa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 10044 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:0,work:64,nodes:16,pairs:1,completionMax:9us [02m00s] 10044 ab:aa=1,bababb=ab infinite ab - - ab:aa=1,bababb=ab,bababab=b [02m00s] from: 10044 ab:aa=1,bababb=ab infinite to: 9733 ab:aa=1,abababb=b infinite a=a,b=b [02m00s] # 10045 solved: rounds:3,rules:3,peak:5,longest:7,steps:4,word:4,work:653,nodes:24,pairs:17,completionMax:50us [02m00s] 10045 ab:aa=1,bababb=ba finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 10045 ab:aa=1,bababb=ba finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 10046 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:2us [02m00s] 10046 ab:aa=1,bababb=bb infinite ab - - ab:aa=1,bababb=bb [02m00s] # 10047 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:329,nodes:42,pairs:10,completionMax:42us [02m00s] 10047 ab:aa=1,babbab=aa infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/2 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 10047 ab:aa=1,babbab=aa infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 10048 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:2,work:682,nodes:22,pairs:14,completionMax:60us [02m00s] 10048 ab:aa=1,babbab=ab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10048 ab:aa=1,babbab=ab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10049 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:91,nodes:20,pairs:1,completionMax:13us [02m00s] 10049 ab:aa=1,babbab=bb infinite ab - - ab:aa=1,bbbab=babbb,babbab=bb [02m00s] # 10050 solved: rounds:3,rules:2,peak:5,longest:10,steps:6,word:4,work:495,nodes:32,pairs:16,completionMax:57us [02m00s] 10050 ab:aa=1,babbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 10050 ab:aa=1,babbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 10051 solved: rounds:4,rules:3,peak:7,longest:9,steps:5,word:4,work:1575,nodes:38,pairs:20,completionMax:117us [02m00s] 10051 ab:aa=1,babbbb=ab finite:34;idempotents:1,bbbbbbbb,abbbbbbbba b/a - - ab:bbbbbbbbb=b,bab=abbbbbb,aa=1 [02m00s] from: 10051 ab:aa=1,babbbb=ab finite:34;idempotents:1,bbbbbbbb,abbbbbbbba to: 9739 ab:aa=1,ababbbb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba a=a,b=b [02m00s] # 10052 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:45,nodes:20,pairs:1,completionMax:15us [02m00s] 10052 ab:aa=1,babbbb=ba infinite ab - - ab:aa=1,bbbbb=b,babbbb=ba [02m00s] from: 10052 ab:aa=1,babbbb=ba infinite to: 9755 ab:aa=1,abbbbab=b infinite anti:a=a,b=b [02m00s] # 10053 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:4us [02m00s] 10053 ab:aa=1,babbbb=bb infinite ab - - ab:aa=1,babbbb=bb [02m00s] # 10054 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:3us [02m00s] 10054 ab:aa=1,bbaabb=aa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 10054 ab:aa=1,bbaabb=aa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 10055 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:29,nodes:16,pairs:1,completionMax:14us [02m00s] 10055 ab:aa=1,bbaabb=ab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10055 ab:aa=1,bbaabb=ab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10056 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:10,pairs:0,completionMax:5us [02m00s] 10056 ab:aa=1,bbaabb=bb infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 10056 ab:aa=1,bbaabb=bb infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 10057 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:4,work:725,nodes:30,pairs:15,completionMax:79us [02m00s] 10057 ab:aa=1,bbabbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 10057 ab:aa=1,bbabbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 10058 solved: rounds:4,rules:7,peak:12,longest:7,steps:6,word:4,work:1249,nodes:42,pairs:23,completionMax:122us [02m00s] 10058 ab:aa=1,bbabbb=ab infinite ac/b bb=c frequency:2/1 abc:aa=1,cacc=ac,cacac=c,bacac=b,cb=bc,cab=abaccac,bb=c [02m00s] from: 10058 ab:aa=1,bbabbb=ab infinite to: 9749 ab:aa=1,abbabbb=b infinite a=a,b=b,c=c [02m00s] # 10059 solved: rounds:3,rules:3,peak:7,longest:12,steps:13,word:8,work:1787,nodes:56,pairs:22,completionMax:125us [02m00s] 10059 ab:aa=1,bbabbb=ba finite:34;idempotents:1,bbbbbbbb,abbbbbbbba reversed:b/a - - ab:bbbbbbbbb=b,bab=bbbbbba,aa=1 [02m00s] from: 10059 ab:aa=1,bbabbb=ba finite:34;idempotents:1,bbbbbbbb,abbbbbbbba to: 9739 ab:aa=1,ababbbb=b finite:34;idempotents:1,bbbbbbbb,abbbbbbbba anti:a=a,b=b [02m00s] # 10060 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:25,nodes:14,pairs:0,completionMax:4us [02m00s] 10060 ab:aa=1,bbabbb=bb infinite ab - - ab:aa=1,bbabbb=bb [02m00s] # 10061 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:2,nodes:14,pairs:0,completionMax:4us [02m00s] 10061 ab:aa=1,bbbbbb=aa infinite;group:a-a,b-bbbbb ab - - ab:aa=1,bbbbbb=1 [02m00s] from: 10061 ab:aa=1,bbbbbb=aa infinite;group:a-a,b-bbbbb to: 1059 ab:aa=1,bbbbbb=1 infinite;group:a-a,b-bbbbb a=a,b=b [02m00s] # 10062 solved: rounds:1,rules:3,peak:3,longest:11,steps:1,word:4,work:37,nodes:24,pairs:1,completionMax:13us [02m00s] 10062 ab:aa=1,bbbbbb=ab finite:22;idempotents:1,bbbbba,bbbbbbbbbb b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbb,aa=1 [02m00s] from: 10062 ab:aa=1,bbbbbb=ab finite:22;idempotents:1,bbbbba,bbbbbbbbbb to: 9759 ab:aa=1,abbbbbb=b finite:22;idempotents:1,bbbbba,bbbbbbbbbb a=a,b=b [02m00s] # 10063 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:14,pairs:0,completionMax:5us [02m00s] 10063 ab:aa=1,bbbbbb=bb infinite ab - - ab:aa=1,bbbbbb=bb [02m00s] # 10064 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:99,nodes:12,pairs:3,completionMax:24us [02m00s] 10064 ab:ab=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10064 ab:ab=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10065 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:8us [02m00s] 10065 ab:ab=1,aaaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10065 ab:ab=1,aaaaaa=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10066 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:4,work:61,nodes:16,pairs:4,completionMax:27us [02m00s] 10066 ab:ab=1,aaaaaa=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10066 ab:ab=1,aaaaaa=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10067 solved: rounds:2,rules:2,peak:4,longest:13,steps:2,word:6,work:334,nodes:28,pairs:4,completionMax:41us [02m00s] 10067 ab:ab=1,aaaaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a a/b - - ab:aaaaaaaa=1,b=aaaaaaa [02m00s] from: 10067 ab:ab=1,aaaaaa=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaaa,b=a [02m00s] # 10068 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:67,nodes:8,pairs:3,completionMax:20us [02m00s] 10068 ab:ab=1,aaaaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10068 ab:ab=1,aaaaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10069 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:12,nodes:8,pairs:1,completionMax:6us [02m00s] 10069 ab:ab=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10069 ab:ab=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10070 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:49,nodes:12,pairs:4,completionMax:18us [02m00s] 10070 ab:ab=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10070 ab:ab=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10071 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:164,nodes:20,pairs:4,completionMax:30us [02m00s] 10071 ab:ab=1,aaaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10071 ab:ab=1,aaaaab=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10072 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:66,nodes:8,pairs:3,completionMax:19us [02m00s] 10072 ab:ab=1,aaaaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10072 ab:ab=1,aaaaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10073 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:11,nodes:8,pairs:1,completionMax:5us [02m00s] 10073 ab:ab=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10073 ab:ab=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10074 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:48,nodes:12,pairs:4,completionMax:17us [02m00s] 10074 ab:ab=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10074 ab:ab=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10075 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:163,nodes:20,pairs:4,completionMax:24us [02m00s] 10075 ab:ab=1,aaaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10075 ab:ab=1,aaaaba=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10076 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:0us [02m00s] 10076 ab:ab=1,aaaabb=aa infinite ab - - ab:ab=1 [02m00s] from: 10076 ab:ab=1,aaaabb=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10077 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:13,nodes:4,pairs:1,completionMax:8us [02m00s] 10077 ab:ab=1,aaaabb=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10077 ab:ab=1,aaaabb=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10078 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:4,completionMax:17us [02m00s] 10078 ab:ab=1,aaaabb=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10078 ab:ab=1,aaaabb=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10079 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:55,nodes:12,pairs:4,completionMax:17us [02m00s] 10079 ab:ab=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10079 ab:ab=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10080 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:65,nodes:8,pairs:3,completionMax:15us [02m00s] 10080 ab:ab=1,aaabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10080 ab:ab=1,aaabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10081 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:1,completionMax:4us [02m00s] 10081 ab:ab=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10081 ab:ab=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10082 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:47,nodes:12,pairs:4,completionMax:14us [02m00s] 10082 ab:ab=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10082 ab:ab=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10083 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:162,nodes:20,pairs:4,completionMax:27us [02m00s] 10083 ab:ab=1,aaabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10083 ab:ab=1,aaabaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10084 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:0us [02m00s] 10084 ab:ab=1,aaabab=aa infinite ab - - ab:ab=1 [02m00s] from: 10084 ab:ab=1,aaabab=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10085 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:12,nodes:4,pairs:1,completionMax:4us [02m00s] 10085 ab:ab=1,aaabab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10085 ab:ab=1,aaabab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10086 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:8,pairs:4,completionMax:12us [02m00s] 10086 ab:ab=1,aaabab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10086 ab:ab=1,aaabab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10087 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:54,nodes:12,pairs:4,completionMax:26us [02m00s] 10087 ab:ab=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10087 ab:ab=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10088 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [02m00s] 10088 ab:ab=1,aaabba=aa infinite ab - - ab:ab=1 [02m00s] from: 10088 ab:ab=1,aaabba=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10089 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:2us [02m00s] 10089 ab:ab=1,aaabba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10089 ab:ab=1,aaabba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10090 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:4,completionMax:8us [02m00s] 10090 ab:ab=1,aaabba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10090 ab:ab=1,aaabba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10091 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:53,nodes:12,pairs:4,completionMax:18us [02m00s] 10091 ab:ab=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10091 ab:ab=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10092 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:4us [02m00s] 10092 ab:ab=1,aaabbb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10092 ab:ab=1,aaabbb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10093 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:11,nodes:4,pairs:0,completionMax:1us [02m00s] 10093 ab:ab=1,aaabbb=ab infinite ab - - ab:ab=1 [02m00s] from: 10093 ab:ab=1,aaabbb=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10094 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 10094 ab:ab=1,aaabbb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10094 ab:ab=1,aaabbb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10095 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:64,nodes:8,pairs:3,completionMax:18us [02m00s] 10095 ab:ab=1,aabaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10095 ab:ab=1,aabaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10096 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:6us [02m00s] 10096 ab:ab=1,aabaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10096 ab:ab=1,aabaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10097 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:46,nodes:12,pairs:4,completionMax:18us [02m00s] 10097 ab:ab=1,aabaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10097 ab:ab=1,aabaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10098 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:161,nodes:20,pairs:4,completionMax:21us [02m00s] 10098 ab:ab=1,aabaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10098 ab:ab=1,aabaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10099 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [02m00s] 10099 ab:ab=1,aabaab=aa infinite ab - - ab:ab=1 [02m00s] from: 10099 ab:ab=1,aabaab=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10100 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:3us [02m00s] 10100 ab:ab=1,aabaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10100 ab:ab=1,aabaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10101 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:4,completionMax:12us [02m00s] 10101 ab:ab=1,aabaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10101 ab:ab=1,aabaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10102 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:53,nodes:12,pairs:4,completionMax:20us [02m00s] 10102 ab:ab=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10102 ab:ab=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10103 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10103 ab:ab=1,aababa=aa infinite ab - - ab:ab=1 [02m00s] from: 10103 ab:ab=1,aababa=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10104 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:4us [02m00s] 10104 ab:ab=1,aababa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10104 ab:ab=1,aababa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10105 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:4,completionMax:15us [02m00s] 10105 ab:ab=1,aababa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10105 ab:ab=1,aababa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10106 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:52,nodes:12,pairs:4,completionMax:20us [02m00s] 10106 ab:ab=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10106 ab:ab=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10107 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:4us [02m00s] 10107 ab:ab=1,aababb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10107 ab:ab=1,aababb=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10108 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [02m00s] 10108 ab:ab=1,aababb=ab infinite ab - - ab:ab=1 [02m00s] from: 10108 ab:ab=1,aababb=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10109 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:2us [02m00s] 10109 ab:ab=1,aababb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10109 ab:ab=1,aababb=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10110 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10110 ab:ab=1,aabbaa=aa infinite ab - - ab:ab=1 [02m00s] from: 10110 ab:ab=1,aabbaa=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10111 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:5us [02m00s] 10111 ab:ab=1,aabbaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10111 ab:ab=1,aabbaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10112 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:15us [02m00s] 10112 ab:ab=1,aabbaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10112 ab:ab=1,aabbaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10113 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:51,nodes:12,pairs:4,completionMax:16us [02m00s] 10113 ab:ab=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10113 ab:ab=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10114 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 10114 ab:ab=1,aabbab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10114 ab:ab=1,aabbab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10115 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:0us [02m00s] 10115 ab:ab=1,aabbab=ab infinite ab - - ab:ab=1 [02m00s] from: 10115 ab:ab=1,aabbab=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10116 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:7,nodes:6,pairs:0,completionMax:2us [02m00s] 10116 ab:ab=1,aabbab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10116 ab:ab=1,aabbab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10117 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:13,nodes:6,pairs:3,completionMax:7us [02m00s] 10117 ab:ab=1,aabbab=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10117 ab:ab=1,aabbab=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10118 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:10us [02m00s] 10118 ab:ab=1,aabbba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10118 ab:ab=1,aabbba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10119 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 10119 ab:ab=1,aabbba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10119 ab:ab=1,aabbba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10120 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:0us [02m00s] 10120 ab:ab=1,aabbba=ba infinite ab - - ab:ab=1 [02m00s] from: 10120 ab:ab=1,aabbba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10121 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:43,nodes:8,pairs:5,completionMax:8us [02m00s] 10121 ab:ab=1,aabbba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10121 ab:ab=1,aabbba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10122 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:63,nodes:8,pairs:3,completionMax:13us [02m00s] 10122 ab:ab=1,abaaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10122 ab:ab=1,abaaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10123 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:6us [02m00s] 10123 ab:ab=1,abaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10123 ab:ab=1,abaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10124 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:45,nodes:12,pairs:4,completionMax:22us [02m00s] 10124 ab:ab=1,abaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10124 ab:ab=1,abaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10125 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:160,nodes:20,pairs:4,completionMax:34us [02m00s] 10125 ab:ab=1,abaaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10125 ab:ab=1,abaaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10126 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10126 ab:ab=1,abaaab=aa infinite ab - - ab:ab=1 [02m00s] from: 10126 ab:ab=1,abaaab=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10127 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 10127 ab:ab=1,abaaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10127 ab:ab=1,abaaab=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10128 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:4,completionMax:11us [02m00s] 10128 ab:ab=1,abaaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10128 ab:ab=1,abaaab=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10129 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:52,nodes:12,pairs:4,completionMax:20us [02m00s] 10129 ab:ab=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10129 ab:ab=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10130 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10130 ab:ab=1,abaaba=aa infinite ab - - ab:ab=1 [02m00s] from: 10130 ab:ab=1,abaaba=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10131 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:4us [02m00s] 10131 ab:ab=1,abaaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10131 ab:ab=1,abaaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10132 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:16us [02m00s] 10132 ab:ab=1,abaaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10132 ab:ab=1,abaaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10133 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:51,nodes:12,pairs:4,completionMax:22us [02m00s] 10133 ab:ab=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10133 ab:ab=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10134 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 10134 ab:ab=1,ababaa=aa infinite ab - - ab:ab=1 [02m00s] from: 10134 ab:ab=1,ababaa=aa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10135 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:5us [02m00s] 10135 ab:ab=1,ababaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10135 ab:ab=1,ababaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10136 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:4,completionMax:12us [02m00s] 10136 ab:ab=1,ababaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10136 ab:ab=1,ababaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10137 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:50,nodes:12,pairs:4,completionMax:19us [02m00s] 10137 ab:ab=1,ababaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10137 ab:ab=1,ababaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10138 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 10138 ab:ab=1,ababab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10138 ab:ab=1,ababab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10139 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:0us [02m00s] 10139 ab:ab=1,ababab=ab infinite ab - - ab:ab=1 [02m00s] from: 10139 ab:ab=1,ababab=ab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10140 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:6,nodes:6,pairs:0,completionMax:2us [02m00s] 10140 ab:ab=1,ababab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10140 ab:ab=1,ababab=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10141 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:30,nodes:8,pairs:4,completionMax:16us [02m00s] 10141 ab:ab=1,ababba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10141 ab:ab=1,ababba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10142 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [02m00s] 10142 ab:ab=1,ababba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10142 ab:ab=1,ababba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10143 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 10143 ab:ab=1,ababba=ba infinite ab - - ab:ab=1 [02m00s] from: 10143 ab:ab=1,ababba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10144 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:5,completionMax:12us [02m00s] 10144 ab:ab=1,ababba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10144 ab:ab=1,ababba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10145 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:10,pairs:2,completionMax:10us [02m00s] 10145 ab:ab=1,abbaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10145 ab:ab=1,abbaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10146 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:71,nodes:12,pairs:9,completionMax:20us [02m00s] 10146 ab:ab=1,abbaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10146 ab:ab=1,abbaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10147 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:7,completionMax:17us [02m00s] 10147 ab:ab=1,abbaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10147 ab:ab=1,abbaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10148 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:217,nodes:20,pairs:5,completionMax:23us [02m00s] 10148 ab:ab=1,abbaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10148 ab:ab=1,abbaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10149 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:4,completionMax:8us [02m00s] 10149 ab:ab=1,abbaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10149 ab:ab=1,abbaab=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10150 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 10150 ab:ab=1,abbaab=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10150 ab:ab=1,abbaab=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10151 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10151 ab:ab=1,abbaab=ba infinite ab - - ab:ab=1 [02m00s] from: 10151 ab:ab=1,abbaab=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10152 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:31,nodes:8,pairs:4,completionMax:13us [02m00s] 10152 ab:ab=1,abbaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10152 ab:ab=1,abbaba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10153 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 10153 ab:ab=1,abbaba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10153 ab:ab=1,abbaba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10154 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10154 ab:ab=1,abbaba=ba infinite ab - - ab:ab=1 [02m00s] from: 10154 ab:ab=1,abbaba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10155 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:43,nodes:8,pairs:5,completionMax:9us [02m00s] 10155 ab:ab=1,abbaba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10155 ab:ab=1,abbaba=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10156 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:168,nodes:14,pairs:17,completionMax:36us [02m00s] 10156 ab:ab=1,abbbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10156 ab:ab=1,abbbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10157 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:14,nodes:12,pairs:6,completionMax:11us [02m00s] 10157 ab:ab=1,abbbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10157 ab:ab=1,abbbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10158 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:13,nodes:12,pairs:4,completionMax:13us [02m00s] 10158 ab:ab=1,abbbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10158 ab:ab=1,abbbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10159 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:128,nodes:12,pairs:7,completionMax:28us [02m00s] 10159 ab:ab=1,abbbaa=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10159 ab:ab=1,abbbaa=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10160 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:2,work:164,nodes:14,pairs:12,completionMax:39us [02m00s] 10160 ab:ab=1,abbbba=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10160 ab:ab=1,abbbba=aa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10161 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:78,nodes:10,pairs:9,completionMax:27us [02m00s] 10161 ab:ab=1,abbbba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10161 ab:ab=1,abbbba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10162 solved: rounds:4,rules:2,peak:5,longest:4,steps:1,word:0,work:98,nodes:10,pairs:13,completionMax:31us [02m00s] 10162 ab:ab=1,abbbba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10162 ab:ab=1,abbbba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10163 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:10,pairs:2,completionMax:12us [02m00s] 10163 ab:ab=1,abbbba=bb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10163 ab:ab=1,abbbba=bb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10164 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:249,nodes:20,pairs:13,completionMax:50us [02m00s] 10164 ab:ab=1,baaaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10164 ab:ab=1,baaaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10165 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:133,nodes:20,pairs:11,completionMax:30us [02m00s] 10165 ab:ab=1,baaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10165 ab:ab=1,baaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10166 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:109,nodes:20,pairs:7,completionMax:36us [02m00s] 10166 ab:ab=1,baaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10166 ab:ab=1,baaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10167 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:4,work:613,nodes:32,pairs:5,completionMax:36us [02m00s] 10167 ab:ab=1,baaaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10167 ab:ab=1,baaaaa=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10168 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:10,pairs:2,completionMax:6us [02m00s] 10168 ab:ab=1,baaaba=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10168 ab:ab=1,baaaba=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10169 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:9,completionMax:22us [02m00s] 10169 ab:ab=1,baaaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10169 ab:ab=1,baaaba=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10170 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:12,pairs:7,completionMax:22us [02m00s] 10170 ab:ab=1,baaaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10170 ab:ab=1,baaaba=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10171 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:220,nodes:20,pairs:5,completionMax:24us [02m00s] 10171 ab:ab=1,baaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10171 ab:ab=1,baaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10172 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:10,pairs:2,completionMax:12us [02m00s] 10172 ab:ab=1,baabaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10172 ab:ab=1,baabaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10173 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:73,nodes:12,pairs:9,completionMax:21us [02m00s] 10173 ab:ab=1,baabaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10173 ab:ab=1,baabaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10174 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:7,completionMax:29us [02m00s] 10174 ab:ab=1,baabaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10174 ab:ab=1,baabaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10175 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:219,nodes:20,pairs:5,completionMax:38us [02m00s] 10175 ab:ab=1,baabaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10175 ab:ab=1,baabaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10176 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:8,pairs:4,completionMax:12us [02m00s] 10176 ab:ab=1,baabba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10176 ab:ab=1,baabba=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10177 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 10177 ab:ab=1,baabba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10177 ab:ab=1,baabba=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10178 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [02m00s] 10178 ab:ab=1,baabba=ba infinite ab - - ab:ab=1 [02m00s] from: 10178 ab:ab=1,baabba=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10179 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:10,pairs:2,completionMax:8us [02m00s] 10179 ab:ab=1,babaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10179 ab:ab=1,babaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10180 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:23us [02m00s] 10180 ab:ab=1,babaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10180 ab:ab=1,babaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10181 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:7,completionMax:24us [02m00s] 10181 ab:ab=1,babaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10181 ab:ab=1,babaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10182 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:218,nodes:20,pairs:5,completionMax:31us [02m00s] 10182 ab:ab=1,babaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10182 ab:ab=1,babaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10183 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:8,pairs:4,completionMax:11us [02m00s] 10183 ab:ab=1,bababa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10183 ab:ab=1,bababa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10184 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 10184 ab:ab=1,bababa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10184 ab:ab=1,bababa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10185 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10185 ab:ab=1,bababa=ba infinite ab - - ab:ab=1 [02m00s] from: 10185 ab:ab=1,bababa=ba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10186 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:169,nodes:14,pairs:17,completionMax:43us [02m00s] 10186 ab:ab=1,babbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10186 ab:ab=1,babbaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10187 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:15,nodes:12,pairs:6,completionMax:11us [02m00s] 10187 ab:ab=1,babbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10187 ab:ab=1,babbaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10188 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:14,nodes:12,pairs:4,completionMax:12us [02m00s] 10188 ab:ab=1,babbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10188 ab:ab=1,babbaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10189 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:129,nodes:12,pairs:7,completionMax:23us [02m00s] 10189 ab:ab=1,babbaa=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10189 ab:ab=1,babbaa=bb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10190 solved: rounds:4,rules:2,peak:5,longest:6,steps:1,word:0,work:53,nodes:20,pairs:16,completionMax:36us [02m00s] 10190 ab:ab=1,bbaaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10190 ab:ab=1,bbaaaa=aa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10191 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:135,nodes:22,pairs:19,completionMax:42us [02m00s] 10191 ab:ab=1,bbaaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10191 ab:ab=1,bbaaaa=ab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10192 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:256,nodes:22,pairs:23,completionMax:56us [02m00s] 10192 ab:ab=1,bbaaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10192 ab:ab=1,bbaaaa=ba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10193 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:179,nodes:20,pairs:7,completionMax:27us [02m00s] 10193 ab:ab=1,bbaaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10193 ab:ab=1,bbaaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10194 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:170,nodes:14,pairs:17,completionMax:45us [02m00s] 10194 ab:ab=1,bbabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10194 ab:ab=1,bbabaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10195 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:16,nodes:12,pairs:6,completionMax:14us [02m00s] 10195 ab:ab=1,bbabaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10195 ab:ab=1,bbabaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10196 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:15,nodes:12,pairs:4,completionMax:11us [02m00s] 10196 ab:ab=1,bbabaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10196 ab:ab=1,bbabaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10197 solved: rounds:4,rules:2,peak:9,longest:6,steps:2,word:0,work:440,nodes:24,pairs:35,completionMax:72us [02m00s] 10197 ab:ab=1,bbbaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10197 ab:ab=1,bbbaaa=aa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10198 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:29,nodes:18,pairs:8,completionMax:12us [02m00s] 10198 ab:ab=1,bbbaaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10198 ab:ab=1,bbbaaa=ab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10199 solved: rounds:3,rules:2,peak:6,longest:6,steps:1,word:0,work:58,nodes:20,pairs:16,completionMax:26us [02m00s] 10199 ab:ab=1,bbbaaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10199 ab:ab=1,bbbaaa=ba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10200 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10200 ab:aa=1,aaaaa=aaa infinite ab - - ab:aa=1 [02m00s] from: 10200 ab:aa=1,aaaaa=aaa infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10201 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10201 ab:aa=1,aaaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10201 ab:aa=1,aaaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10202 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:27,nodes:8,pairs:4,completionMax:17us [02m00s] 10202 ab:aa=1,aaaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10202 ab:aa=1,aaaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10203 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:5us [02m00s] 10203 ab:aa=1,aaaaa=abb infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10203 ab:aa=1,aaaaa=abb infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10204 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:8,pairs:0,completionMax:2us [02m00s] 10204 ab:aa=1,aaaaa=bab infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 10204 ab:aa=1,aaaaa=bab infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 10205 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:17,nodes:12,pairs:2,completionMax:9us [02m00s] 10205 ab:aa=1,aaaaa=bbb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10205 ab:aa=1,aaaaa=bbb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10206 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10206 ab:aa=1,aaaab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10206 ab:aa=1,aaaab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10207 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10207 ab:aa=1,aaaab=aab infinite ab - - ab:aa=1 [02m00s] from: 10207 ab:aa=1,aaaab=aab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10208 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:8,pairs:3,completionMax:12us [02m00s] 10208 ab:aa=1,aaaab=aba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10208 ab:aa=1,aaaab=aba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10209 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:21,nodes:8,pairs:3,completionMax:11us [02m00s] 10209 ab:aa=1,aaaab=abb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10209 ab:aa=1,aaaab=abb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10210 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:2us [02m00s] 10210 ab:aa=1,aaaab=baa infinite ab - - ab:aa=1 [02m00s] from: 10210 ab:aa=1,aaaab=baa infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10211 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 10211 ab:aa=1,aaaab=bab infinite ab - - ab:aa=1,bab=b [02m00s] from: 10211 ab:aa=1,aaaab=bab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10212 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:2,completionMax:9us [02m00s] 10212 ab:aa=1,aaaab=bba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10212 ab:aa=1,aaaab=bba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10213 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 10213 ab:aa=1,aaaab=bbb infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10213 ab:aa=1,aaaab=bbb infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10214 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:27,nodes:8,pairs:4,completionMax:17us [02m00s] 10214 ab:aa=1,aaaba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10214 ab:aa=1,aaaba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10215 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:8,pairs:3,completionMax:7us [02m00s] 10215 ab:aa=1,aaaba=aab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10215 ab:aa=1,aaaba=aab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10216 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10216 ab:aa=1,aaaba=aba infinite ab - - ab:aa=1 [02m00s] from: 10216 ab:aa=1,aaaba=aba infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10217 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:94,nodes:12,pairs:6,completionMax:15us [02m00s] 10217 ab:aa=1,aaaba=abb finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10217 ab:aa=1,aaaba=abb finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10218 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:3,completionMax:5us [02m00s] 10218 ab:aa=1,aaaba=baa infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10218 ab:aa=1,aaaba=baa infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10219 solved: rounds:2,rules:4,peak:4,longest:3,steps:3,word:0,work:93,nodes:10,pairs:3,completionMax:14us [02m00s] 10219 ab:aa=1,aaaba=bab finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10219 ab:aa=1,aaaba=bab finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10220 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:100,nodes:12,pairs:6,completionMax:21us [02m00s] 10220 ab:aa=1,aaaba=bba finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10220 ab:aa=1,aaaba=bba finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10221 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:349,nodes:36,pairs:7,completionMax:29us [02m00s] 10221 ab:aa=1,aaaba=bbb finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10221 ab:aa=1,aaaba=bbb finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10222 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:5us [02m00s] 10222 ab:aa=1,aaabb=aaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10222 ab:aa=1,aaabb=aaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10223 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:3,completionMax:10us [02m00s] 10223 ab:aa=1,aaabb=aab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10223 ab:aa=1,aaabb=aab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10224 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:94,nodes:12,pairs:6,completionMax:21us [02m00s] 10224 ab:aa=1,aaabb=aba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10224 ab:aa=1,aaabb=aba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10225 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10225 ab:aa=1,aaabb=abb infinite ab - - ab:aa=1 [02m00s] from: 10225 ab:aa=1,aaabb=abb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10226 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:22,nodes:8,pairs:3,completionMax:10us [02m00s] 10226 ab:aa=1,aaabb=baa finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10226 ab:aa=1,aaabb=baa finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10227 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 10227 ab:aa=1,aaabb=bab infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10227 ab:aa=1,aaabb=bab infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10228 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:2us [02m00s] 10228 ab:aa=1,aaabb=bba infinite ab - - ab:aa=1,bba=abb [02m00s] from: 10228 ab:aa=1,aaabb=bba infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 10229 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:1,completionMax:6us [02m00s] 10229 ab:aa=1,aaabb=bbb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10229 ab:aa=1,aaabb=bbb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10230 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10230 ab:aa=1,aabaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10230 ab:aa=1,aabaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10231 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10231 ab:aa=1,aabaa=aab infinite ab - - ab:aa=1 [02m00s] from: 10231 ab:aa=1,aabaa=aab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10232 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:3,completionMax:9us [02m00s] 10232 ab:aa=1,aabaa=aba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10232 ab:aa=1,aabaa=aba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10233 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:9us [02m00s] 10233 ab:aa=1,aabaa=abb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10233 ab:aa=1,aabaa=abb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10234 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 10234 ab:aa=1,aabaa=bab infinite ab - - ab:aa=1,bab=b [02m00s] from: 10234 ab:aa=1,aabaa=bab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10235 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:7us [02m00s] 10235 ab:aa=1,aabaa=bbb infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10235 ab:aa=1,aabaa=bbb infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10236 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:2us [02m00s] 10236 ab:aa=1,aabab=aaa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 10236 ab:aa=1,aabab=aaa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 10237 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 10237 ab:aa=1,aabab=aab infinite ab - - ab:aa=1,bab=b [02m00s] from: 10237 ab:aa=1,aabab=aab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10238 solved: rounds:2,rules:4,peak:4,longest:3,steps:3,word:0,work:93,nodes:10,pairs:3,completionMax:13us [02m00s] 10238 ab:aa=1,aabab=aba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10238 ab:aa=1,aabab=aba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10239 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:8,pairs:0,completionMax:2us [02m00s] 10239 ab:aa=1,aabab=abb infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10239 ab:aa=1,aabab=abb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10240 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 10240 ab:aa=1,aabab=baa infinite ab - - ab:aa=1,bab=b [02m00s] from: 10240 ab:aa=1,aabab=baa infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10241 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10241 ab:aa=1,aabab=bab infinite ab - - ab:aa=1 [02m00s] from: 10241 ab:aa=1,aabab=bab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10242 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:8,pairs:0,completionMax:2us [02m00s] 10242 ab:aa=1,aabab=bba infinite ba - - ab:aa=1,bab=bba [02m00s] from: 10242 ab:aa=1,aabab=bba infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 10243 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 10243 ab:aa=1,aabab=bbb infinite ba - - ab:aa=1,bab=bbb [02m00s] from: 10243 ab:aa=1,aabab=bbb infinite to: 1257 ab:aa=1,bbb=bab infinite a=a,b=b [02m00s] # 10244 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:6us [02m00s] 10244 ab:aa=1,aabba=aaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10244 ab:aa=1,aabba=aaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10245 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:11us [02m00s] 10245 ab:aa=1,aabba=aab finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10245 ab:aa=1,aabba=aab finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10246 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:100,nodes:12,pairs:6,completionMax:25us [02m00s] 10246 ab:aa=1,aabba=aba finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10246 ab:aa=1,aabba=aba finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10247 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:1us [02m00s] 10247 ab:aa=1,aabba=abb infinite ab - - ab:aa=1,bba=abb [02m00s] from: 10247 ab:aa=1,aabba=abb infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 10248 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:2,completionMax:10us [02m00s] 10248 ab:aa=1,aabba=baa finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10248 ab:aa=1,aabba=baa finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10249 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:8,pairs:0,completionMax:3us [02m00s] 10249 ab:aa=1,aabba=bab infinite ba - - ab:aa=1,bab=bba [02m00s] from: 10249 ab:aa=1,aabba=bab infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 10250 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10250 ab:aa=1,aabba=bba infinite ab - - ab:aa=1 [02m00s] from: 10250 ab:aa=1,aabba=bba infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10251 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:45,nodes:10,pairs:1,completionMax:7us [02m00s] 10251 ab:aa=1,aabba=bbb infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 10251 ab:aa=1,aabba=bbb infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 10252 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:17,nodes:12,pairs:2,completionMax:13us [02m00s] 10252 ab:aa=1,aabbb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10252 ab:aa=1,aabbb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10253 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 10253 ab:aa=1,aabbb=aab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10253 ab:aa=1,aabbb=aab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10254 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:349,nodes:36,pairs:7,completionMax:47us [02m00s] 10254 ab:aa=1,aabbb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10254 ab:aa=1,aabbb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10255 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:1,completionMax:7us [02m00s] 10255 ab:aa=1,aabbb=abb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10255 ab:aa=1,aabbb=abb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10256 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:4us [02m00s] 10256 ab:aa=1,aabbb=baa infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10256 ab:aa=1,aabbb=baa infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10257 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 10257 ab:aa=1,aabbb=bab infinite ba - - ab:aa=1,bab=bbb [02m00s] from: 10257 ab:aa=1,aabbb=bab infinite to: 1257 ab:aa=1,bbb=bab infinite a=a,b=b [02m00s] # 10258 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:45,nodes:10,pairs:1,completionMax:8us [02m00s] 10258 ab:aa=1,aabbb=bba infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 10258 ab:aa=1,aabbb=bba infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 10259 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10259 ab:aa=1,aabbb=bbb infinite ab - - ab:aa=1 [02m00s] from: 10259 ab:aa=1,aabbb=bbb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10260 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:5us [02m00s] 10260 ab:aa=1,abaab=aaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10260 ab:aa=1,abaab=aaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10261 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:23,nodes:8,pairs:3,completionMax:7us [02m00s] 10261 ab:aa=1,abaab=aab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10261 ab:aa=1,abaab=aab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10262 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:96,nodes:12,pairs:6,completionMax:17us [02m00s] 10262 ab:aa=1,abaab=aba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10262 ab:aa=1,abaab=aba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10263 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:0us [02m00s] 10263 ab:aa=1,abaab=abb infinite ab - - ab:aa=1 [02m00s] from: 10263 ab:aa=1,abaab=abb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10264 solved: rounds:2,rules:3,peak:3,longest:3,steps:1,word:0,work:24,nodes:8,pairs:3,completionMax:8us [02m00s] 10264 ab:aa=1,abaab=baa finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10264 ab:aa=1,abaab=baa finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10265 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:8,pairs:0,completionMax:4us [02m00s] 10265 ab:aa=1,abaab=bab infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10265 ab:aa=1,abaab=bab infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10266 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 10266 ab:aa=1,abaab=bba infinite ab - - ab:aa=1,bba=abb [02m00s] from: 10266 ab:aa=1,abaab=bba infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 10267 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:47,nodes:12,pairs:1,completionMax:5us [02m00s] 10267 ab:aa=1,abaab=bbb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10267 ab:aa=1,abaab=bbb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10268 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:55,nodes:16,pairs:4,completionMax:32us [02m00s] 10268 ab:aa=1,ababa=aaa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 10268 ab:aa=1,ababa=aaa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 10269 solved: rounds:3,rules:4,peak:6,longest:5,steps:5,word:0,work:438,nodes:18,pairs:13,completionMax:58us [02m00s] 10269 ab:aa=1,ababa=aab finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10269 ab:aa=1,ababa=aab finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10270 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:172,nodes:16,pairs:4,completionMax:39us [02m00s] 10270 ab:aa=1,ababa=aba infinite ab - - ab:aa=1,bab=b [02m00s] from: 10270 ab:aa=1,ababa=aba infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10271 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:474,nodes:20,pairs:17,completionMax:56us [02m00s] 10271 ab:aa=1,ababa=abb infinite ba - - ab:aa=1,bab=bba [02m00s] from: 10271 ab:aa=1,ababa=abb infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 10272 solved: rounds:1,rules:3,peak:4,longest:5,steps:6,word:2,work:168,nodes:18,pairs:8,completionMax:19us [02m00s] 10272 ab:aa=1,ababa=bab infinite ac/b ba=c frequency:2/0 abc:aa=1,cca=acc,b=ca [02m00s] from: 10272 ab:aa=1,ababa=bab infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=ba,c=b [02m00s] # 10273 solved: rounds:5,rules:7,peak:11,longest:15,steps:30,word:0,work:37435,nodes:112,pairs:23,completionMax:644us [02m00s] 10273 ab:aa=1,ababa=bbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb ab - - ab:aa=1,baba=abbb,bbba=abab,bbabbb=ababba,babbbbbbb=ababbabba,bbbbbbbbbb=abbabbabba,babbabbabba=abbabbabbab [02m00s] # 10274 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:188,nodes:16,pairs:8,completionMax:32us [02m00s] 10274 ab:aa=1,ababb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10274 ab:aa=1,ababb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10275 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:55,nodes:16,pairs:3,completionMax:14us [02m00s] 10275 ab:aa=1,ababb=aab infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10275 ab:aa=1,ababb=aab infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10276 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:50,nodes:16,pairs:3,completionMax:9us [02m00s] 10276 ab:aa=1,ababb=aba infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 10276 ab:aa=1,ababb=aba infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 10277 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:7us [02m00s] 10277 ab:aa=1,ababb=abb infinite ab - - ab:aa=1,babb=bb [02m00s] from: 10277 ab:aa=1,ababb=abb infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 10278 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:56,nodes:16,pairs:3,completionMax:11us [02m00s] 10278 ab:aa=1,ababb=baa infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10278 ab:aa=1,ababb=baa infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10279 solved: rounds:4,rules:5,peak:5,longest:7,steps:7,word:0,work:1075,nodes:30,pairs:7,completionMax:43us [02m00s] 10279 ab:aa=1,ababb=bab infinite ab - - ab:aa=1,babb=abab,bbabab=abbbab,bbbbab=bbab,bababab=abbab [02m00s] # 10280 solved: rounds:3,rules:4,peak:9,longest:6,steps:5,word:0,work:1229,nodes:34,pairs:27,completionMax:88us [02m00s] 10280 ab:aa=1,ababb=bba infinite ba - - ab:aa=1,bba=bbb,abb=bbb,bbbb=bb [02m00s] from: 10280 ab:aa=1,ababb=bba infinite to: 10004 ab:aa=1,ababba=bb infinite a=a,b=b [02m00s] # 10281 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:52,nodes:16,pairs:1,completionMax:6us [02m00s] 10281 ab:aa=1,ababb=bbb infinite ab - - ab:aa=1,babb=abbb [02m00s] # 10282 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:2,work:236,nodes:16,pairs:20,completionMax:39us [02m00s] 10282 ab:aa=1,abbab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10282 ab:aa=1,abbab=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10283 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:99,nodes:16,pairs:6,completionMax:16us [02m00s] 10283 ab:aa=1,abbab=aab infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 10283 ab:aa=1,abbab=aab infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 10284 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:166,nodes:24,pairs:5,completionMax:19us [02m00s] 10284 ab:aa=1,abbab=aba infinite ab - - ab:aa=1,bbab=ba,babab=b [02m00s] from: 10284 ab:aa=1,abbab=aba infinite to: 1117 ab:aa=1,ababb=b infinite anti:a=a,b=b [02m00s] # 10285 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:42,nodes:16,pairs:2,completionMax:7us [02m00s] 10285 ab:aa=1,abbab=abb infinite ab - - ab:aa=1,bbab=bb [02m00s] from: 10285 ab:aa=1,abbab=abb infinite to: 1200 ab:aa=1,babb=bb infinite anti:a=a,b=b [02m00s] # 10286 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:100,nodes:16,pairs:6,completionMax:22us [02m00s] 10286 ab:aa=1,abbab=baa infinite ab - - ab:aa=1,bbb=b,bbab=ab [02m00s] from: 10286 ab:aa=1,abbab=baa infinite to: 1119 ab:aa=1,abbab=b infinite a=a,b=b [02m00s] # 10287 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:0,work:380,nodes:24,pairs:5,completionMax:31us [02m00s] 10287 ab:aa=1,abbab=bab infinite ab - - ab:aa=1,bbab=abab,babab=bab [02m00s] # 10288 solved: rounds:3,rules:4,peak:10,longest:7,steps:5,word:0,work:2023,nodes:28,pairs:71,completionMax:208us [02m00s] 10288 ab:aa=1,abbab=bba infinite ba - - ab:aa=1,bba=bbb,abb=bbb,bbbb=bb [02m00s] from: 10288 ab:aa=1,abbab=bba infinite to: 10004 ab:aa=1,ababba=bb infinite a=a,b=b [02m00s] # 10289 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:59,nodes:16,pairs:2,completionMax:7us [02m00s] 10289 ab:aa=1,abbab=bbb infinite ab - - ab:aa=1,bbab=abbb [02m00s] # 10290 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:2,work:57,nodes:16,pairs:9,completionMax:27us [02m00s] 10290 ab:aa=1,abbba=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10290 ab:aa=1,abbba=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10291 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:321,nodes:36,pairs:8,completionMax:46us [02m00s] 10291 ab:aa=1,abbba=aab finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10291 ab:aa=1,abbba=aab finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10292 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:82,nodes:16,pairs:4,completionMax:23us [02m00s] 10292 ab:aa=1,abbba=aba infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10292 ab:aa=1,abbba=aba infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10293 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:329,nodes:16,pairs:13,completionMax:44us [02m00s] 10293 ab:aa=1,abbba=abb infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 10293 ab:aa=1,abbba=abb infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 10294 solved: rounds:5,rules:7,peak:11,longest:15,steps:30,word:0,work:37447,nodes:112,pairs:23,completionMax:645us [02m00s] 10294 ab:aa=1,abbba=bab finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb ab - - ab:aa=1,baba=abbb,bbba=abab,bbabbb=ababba,babbbbbbb=ababbabba,bbbbbbbbbb=abbabbabba,babbabbabba=abbabbabbab [02m00s] from: 10294 ab:aa=1,abbba=bab finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb to: 10273 ab:aa=1,ababa=bbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb a=a,b=b [02m00s] # 10295 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:38,nodes:16,pairs:3,completionMax:11us [02m00s] 10295 ab:aa=1,abbba=bbb infinite ab - - ab:aa=1,bbba=abbb [02m00s] # 10296 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:4,nodes:16,pairs:1,completionMax:8us [02m00s] 10296 ab:aa=1,abbbb=aaa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 10296 ab:aa=1,abbbb=aaa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 10297 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:34,nodes:16,pairs:3,completionMax:10us [02m00s] 10297 ab:aa=1,abbbb=aab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10297 ab:aa=1,abbbb=aab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10298 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:2,work:126,nodes:28,pairs:6,completionMax:31us [02m00s] 10298 ab:aa=1,abbbb=aba finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 10298 ab:aa=1,abbbb=aba finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 10299 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:38,nodes:16,pairs:1,completionMax:9us [02m00s] 10299 ab:aa=1,abbbb=abb infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 10299 ab:aa=1,abbbb=abb infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 10300 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:2,work:35,nodes:16,pairs:3,completionMax:15us [02m00s] 10300 ab:aa=1,abbbb=baa finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10300 ab:aa=1,abbbb=baa finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10301 solved: rounds:1,rules:3,peak:3,longest:13,steps:16,word:8,work:391,nodes:30,pairs:1,completionMax:26us [02m00s] 10301 ab:aa=1,abbbb=bab finite:50;idempotents:1,bbbbbbbb,abbbbbbbba b/a - - ab:bbbbbbbbbbbbb=bbbbb,bab=abbbb,aa=1 [02m00s] # 10302 solved: rounds:1,rules:3,peak:3,longest:8,steps:5,word:4,work:130,nodes:18,pairs:1,completionMax:14us [02m00s] 10302 ab:aa=1,abbbb=bba infinite b/a - - ab:bbbbbbbb=bb,bba=abbbb,aa=1 [02m00s] from: 10302 ab:aa=1,abbbb=bba infinite to: 10023 ab:aa=1,abbbba=bb infinite a=a,b=b [02m00s] # 10303 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:99,nodes:16,pairs:3,completionMax:13us [02m00s] 10303 ab:aa=1,abbbb=bbb infinite ba - - ab:aa=1,abbb=bbbb,bbbbb=bbb [02m00s] # 10304 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:3us [02m00s] 10304 ab:aa=1,baaab=aaa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 10304 ab:aa=1,baaab=aaa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 10305 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:2us [02m00s] 10305 ab:aa=1,baaab=aab infinite ab - - ab:aa=1,bab=b [02m00s] from: 10305 ab:aa=1,baaab=aab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10306 solved: rounds:2,rules:4,peak:4,longest:3,steps:3,word:0,work:94,nodes:10,pairs:3,completionMax:14us [02m00s] 10306 ab:aa=1,baaab=aba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10306 ab:aa=1,baaab=aba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10307 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:18,nodes:8,pairs:0,completionMax:3us [02m00s] 10307 ab:aa=1,baaab=abb infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10307 ab:aa=1,baaab=abb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10308 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 10308 ab:aa=1,baaab=bab infinite ab - - ab:aa=1 [02m00s] from: 10308 ab:aa=1,baaab=bab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10309 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [02m00s] 10309 ab:aa=1,baaab=bbb infinite ba - - ab:aa=1,bab=bbb [02m00s] from: 10309 ab:aa=1,baaab=bbb infinite to: 1257 ab:aa=1,bbb=bab infinite a=a,b=b [02m00s] # 10310 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:2,work:18,nodes:12,pairs:2,completionMax:8us [02m00s] 10310 ab:aa=1,baabb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10310 ab:aa=1,baabb=aaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10311 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:4us [02m00s] 10311 ab:aa=1,baabb=aab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10311 ab:aa=1,baabb=aab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10312 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:6,work:350,nodes:36,pairs:7,completionMax:43us [02m00s] 10312 ab:aa=1,baabb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10312 ab:aa=1,baabb=aba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10313 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:46,nodes:12,pairs:1,completionMax:8us [02m00s] 10313 ab:aa=1,baabb=abb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10313 ab:aa=1,baabb=abb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10314 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [02m00s] 10314 ab:aa=1,baabb=baa infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10314 ab:aa=1,baabb=baa infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10315 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:3us [02m00s] 10315 ab:aa=1,baabb=bab infinite ba - - ab:aa=1,bab=bbb [02m00s] from: 10315 ab:aa=1,baabb=bab infinite to: 1257 ab:aa=1,bbb=bab infinite a=a,b=b [02m00s] # 10316 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:46,nodes:10,pairs:1,completionMax:6us [02m00s] 10316 ab:aa=1,baabb=bba infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 10316 ab:aa=1,baabb=bba infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 10317 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 10317 ab:aa=1,baabb=bbb infinite ab - - ab:aa=1 [02m00s] from: 10317 ab:aa=1,baabb=bbb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10318 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:4us [02m00s] 10318 ab:aa=1,babab=aaa infinite;group:a-a,b-ababa ab - - ab:aa=1,babab=a [02m00s] from: 10318 ab:aa=1,babab=aaa infinite;group:a-a,b-ababa to: 1042 ab:aa=1,ababab=1 infinite;group:a-a,b-ababa a=a,b=b [02m00s] # 10319 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 10319 ab:aa=1,babab=aab infinite ab - - ab:aa=1,babab=b [02m00s] from: 10319 ab:aa=1,babab=aab infinite to: 1129 ab:aa=1,babab=b infinite a=a,b=b [02m00s] # 10320 solved: rounds:4,rules:5,peak:8,longest:7,steps:9,word:2,work:1076,nodes:38,pairs:12,completionMax:95us [02m00s] 10320 ab:aa=1,babab=aba finite:18;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,aa=1,baba=ababbb [02m00s] from: 10320 ab:aa=1,babab=aba finite:18;idempotents:1,bbbb;center:1,bb,bbbb to: 9731 ab:aa=1,abababa=b finite:18;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [02m00s] # 10321 solved: rounds:2,rules:5,peak:6,longest:5,steps:5,word:0,work:816,nodes:28,pairs:12,completionMax:66us [02m00s] 10321 ab:aa=1,babab=abb finite:26;idempotents:1,bbbb,abbbba ab - - ab:aa=1,bbab=abbb,babab=abb,babbb=ababb,bbbbb=bbb [02m00s] from: 10321 ab:aa=1,babab=abb finite:26;idempotents:1,bbbb,abbbba to: 10000 ab:aa=1,ababab=bb finite:26;idempotents:1,bbbb,abbbba a=a,b=b [02m00s] # 10322 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:30,nodes:12,pairs:0,completionMax:5us [02m00s] 10322 ab:aa=1,babab=bab infinite ab - - ab:aa=1,babab=bab [02m00s] # 10323 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:96,nodes:18,pairs:1,completionMax:10us [02m00s] 10323 ab:aa=1,babab=bbb infinite ab - - ab:aa=1,babab=bbb,bbbab=babbb [02m00s] # 10324 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:4,work:501,nodes:24,pairs:11,completionMax:57us [02m00s] 10324 ab:aa=1,babbb=aaa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb b/a - - ab:bbbbbbbb=1,ba=abbbbb,aa=1 [02m00s] from: 10324 ab:aa=1,babbb=aaa finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb a=a,b=b [02m00s] # 10325 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:3us [02m00s] 10325 ab:aa=1,babbb=aab infinite ab - - ab:aa=1,babbb=b [02m00s] from: 10325 ab:aa=1,babbb=aab infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 10326 solved: rounds:4,rules:9,peak:14,longest:11,steps:9,word:8,work:9813,nodes:50,pairs:36,completionMax:428us [02m00s] 10326 ab:aa=1,babbb=aba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aa=1,aba=babbb,abbba=bbbbbab,abbbbba=bbbabbbbb,babba=abbbbabbbbb,babbbba=abbabbb [02m00s] from: 10326 ab:aa=1,babbb=aba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb to: 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=b [02m00s] # 10327 solved: rounds:2,rules:4,peak:4,longest:7,steps:3,word:0,work:236,nodes:20,pairs:6,completionMax:21us [02m00s] 10327 ab:aa=1,babbb=abb infinite ab - - ab:aa=1,babbb=abb,bababb=bb,babbabb=ababb [02m00s] from: 10327 ab:aa=1,babbb=abb infinite to: 10008 ab:aa=1,ababbb=bb infinite a=a,b=b [02m00s] # 10328 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:3us [02m00s] 10328 ab:aa=1,babbb=baa infinite ab - - ab:aa=1,babbb=b [02m00s] from: 10328 ab:aa=1,babbb=baa infinite to: 1131 ab:aa=1,babbb=b infinite a=a,b=b [02m00s] # 10329 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:2us [02m00s] 10329 ab:aa=1,babbb=bab infinite ab - - ab:aa=1,babbb=bab [02m00s] # 10330 solved: rounds:5,rules:4,peak:5,longest:12,steps:5,word:4,work:1035,nodes:48,pairs:9,completionMax:85us [02m00s] 10330 ab:aa=1,babbb=bba infinite reversed:b/a - - ab:bbbbbbbbbb=bb,bbab=bbbbba,babb=bbbbbbba,aa=1 [02m00s] from: 10330 ab:aa=1,babbb=bba infinite to: 10020 ab:aa=1,abbbab=bb infinite anti:a=a,b=b [02m00s] # 10331 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 10331 ab:aa=1,babbb=bbb infinite ab - - ab:aa=1,babbb=bbb [02m00s] # 10332 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:2,work:206,nodes:18,pairs:7,completionMax:27us [02m00s] 10332 ab:aa=1,bbabb=aaa infinite;group:a-a,b-baca,c-aca ac/b bb=c frequency:2/0 abc:aa=1,cac=a,cb=bc,cab=abaca,bb=c [02m00s] from: 10332 ab:aa=1,bbabb=aaa infinite;group:a-a,b-baca,c-aca to: 1046 ab:aa=1,abbabb=1 infinite;group:a-a,b-baca,c-aca a=a,b=b,c=c [02m00s] # 10333 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:173,nodes:16,pairs:5,completionMax:22us [02m00s] 10333 ab:aa=1,bbabb=aab infinite ab - - ab:aa=1,bbab=babb,babbb=b [02m00s] from: 10333 ab:aa=1,bbabb=aab infinite to: 1133 ab:aa=1,bbabb=b infinite a=a,b=b [02m00s] # 10334 solved: rounds:3,rules:6,peak:8,longest:21,steps:8,word:8,work:3831,nodes:92,pairs:37,completionMax:234us [02m00s] 10334 ab:aa=1,bbabb=aba finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,aa=1,aba=bbabb,abba=babbbbbbbbbb [02m00s] from: 10334 ab:aa=1,bbabb=aba finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb to: 9747 ab:aa=1,abbabba=b finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=a,b=b [02m00s] # 10335 solved: rounds:3,rules:15,peak:19,longest:7,steps:8,word:8,work:4771,nodes:72,pairs:68,completionMax:360us [02m00s] 10335 ab:aa=1,bbabb=abb infinite bc/a bab=c frequency:3/1 abc:ccb=bbb,ccc=bbc,bbbb=bb,bbbc=bc,bbcb=cb,bbcc=cc,cbbb=cb,cbbc=cc,abb=bcb,abc=bcc,acb=bcbcb,acc=bcbcc,bab=c,cab=bac,aa=1 [02m00s] from: 10335 ab:aa=1,bbabb=abb infinite to: 10016 ab:aa=1,abbabb=bb infinite a=a,b=b,c=c [02m00s] # 10336 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:105,nodes:14,pairs:1,completionMax:10us [02m00s] 10336 ab:aa=1,bbabb=bab infinite ab - - ab:aa=1,bbabb=bab,bbabab=bababb [02m00s] # 10337 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:2us [02m00s] 10337 ab:aa=1,bbabb=bbb infinite ab - - ab:aa=1,bbabb=bbb [02m00s] # 10338 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:21,nodes:20,pairs:2,completionMax:13us [02m00s] 10338 ab:aa=1,bbbbb=aaa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbb [02m00s] from: 10338 ab:aa=1,bbbbb=aaa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b5;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=b [02m00s] # 10339 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [02m00s] 10339 ab:aa=1,bbbbb=aab infinite ab - - ab:aa=1,bbbbb=b [02m00s] from: 10339 ab:aa=1,bbbbb=aab infinite to: 1135 ab:aa=1,bbbbb=b infinite a=a,b=b [02m00s] # 10340 solved: rounds:2,rules:3,peak:4,longest:26,steps:29,word:20,work:1387,nodes:100,pairs:7,completionMax:94us [02m00s] 10340 ab:aa=1,bbbbb=aba finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbb,aa=1 [02m00s] from: 10340 ab:aa=1,bbbbb=aba finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 9757 ab:aa=1,abbbbba=b finite:50;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [02m00s] # 10341 solved: rounds:1,rules:3,peak:3,longest:8,steps:1,word:2,work:57,nodes:20,pairs:1,completionMax:15us [02m00s] 10341 ab:aa=1,bbbbb=abb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbb,aa=1 [02m00s] from: 10341 ab:aa=1,bbbbb=abb infinite to: 10027 ab:aa=1,abbbbb=bb infinite a=a,b=b [02m00s] # 10342 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:10,nodes:8,pairs:0,completionMax:2us [02m00s] 10342 ab:aa=1,bbbbb=bab infinite b/a - - ab:bab=bbbbb,aa=1 [02m00s] # 10343 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:12,pairs:0,completionMax:5us [02m00s] 10343 ab:aa=1,bbbbb=bbb infinite ab - - ab:aa=1,bbbbb=bbb [02m00s] # 10344 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:169,nodes:10,pairs:4,completionMax:25us [02m00s] 10344 ab:ab=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10344 ab:ab=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10345 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:10,pairs:2,completionMax:12us [02m00s] 10345 ab:ab=1,aaaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10345 ab:ab=1,aaaaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10346 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:34,nodes:10,pairs:2,completionMax:11us [02m00s] 10346 ab:ab=1,aaaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10346 ab:ab=1,aaaaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10347 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:2,nodes:12,pairs:1,completionMax:5us [02m00s] 10347 ab:ab=1,aaaaa=abb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10347 ab:ab=1,aaaaa=abb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10348 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:157,nodes:16,pairs:7,completionMax:29us [02m00s] 10348 ab:ab=1,aaaaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10348 ab:ab=1,aaaaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10349 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:3,nodes:12,pairs:1,completionMax:5us [02m00s] 10349 ab:ab=1,aaaaa=bab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10349 ab:ab=1,aaaaa=bab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10350 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:4,work:128,nodes:16,pairs:11,completionMax:39us [02m00s] 10350 ab:ab=1,aaaaa=bba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10350 ab:ab=1,aaaaa=bba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10351 solved: rounds:3,rules:2,peak:6,longest:11,steps:2,word:6,work:619,nodes:30,pairs:10,completionMax:58us [02m00s] 10351 ab:ab=1,aaaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a a/b - - ab:aaaaaaaa=1,b=aaaaaaa [02m00s] from: 10351 ab:ab=1,aaaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaaa,b=a [02m00s] # 10352 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10352 ab:ab=1,aaaab=aaa infinite ab - - ab:ab=1 [02m00s] from: 10352 ab:ab=1,aaaab=aaa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10353 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:26,nodes:6,pairs:2,completionMax:12us [02m00s] 10353 ab:ab=1,aaaab=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10353 ab:ab=1,aaaab=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10354 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:6,pairs:2,completionMax:8us [02m00s] 10354 ab:ab=1,aaaab=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10354 ab:ab=1,aaaab=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10355 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:6us [02m00s] 10355 ab:ab=1,aaaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10355 ab:ab=1,aaaab=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10356 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:111,nodes:12,pairs:7,completionMax:31us [02m00s] 10356 ab:ab=1,aaaab=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10356 ab:ab=1,aaaab=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10357 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:5us [02m00s] 10357 ab:ab=1,aaaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10357 ab:ab=1,aaaab=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10358 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:97,nodes:12,pairs:11,completionMax:29us [02m00s] 10358 ab:ab=1,aaaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10358 ab:ab=1,aaaab=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10359 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:4,work:202,nodes:18,pairs:8,completionMax:48us [02m00s] 10359 ab:ab=1,aaaab=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10359 ab:ab=1,aaaab=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10360 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:1us [02m00s] 10360 ab:ab=1,aaaba=aaa infinite ab - - ab:ab=1 [02m00s] from: 10360 ab:ab=1,aaaba=aaa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10361 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:6,pairs:2,completionMax:8us [02m00s] 10361 ab:ab=1,aaaba=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10361 ab:ab=1,aaaba=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10362 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:6,pairs:2,completionMax:9us [02m00s] 10362 ab:ab=1,aaaba=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10362 ab:ab=1,aaaba=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10363 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:8us [02m00s] 10363 ab:ab=1,aaaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10363 ab:ab=1,aaaba=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10364 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:110,nodes:12,pairs:7,completionMax:18us [02m00s] 10364 ab:ab=1,aaaba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10364 ab:ab=1,aaaba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10365 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:3us [02m00s] 10365 ab:ab=1,aaaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10365 ab:ab=1,aaaba=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10366 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:96,nodes:12,pairs:11,completionMax:24us [02m00s] 10366 ab:ab=1,aaaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10366 ab:ab=1,aaaba=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10367 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:4,work:201,nodes:18,pairs:8,completionMax:32us [02m00s] 10367 ab:ab=1,aaaba=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10367 ab:ab=1,aaaba=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10368 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:6,pairs:2,completionMax:12us [02m00s] 10368 ab:ab=1,aaabb=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10368 ab:ab=1,aaabb=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10369 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:0us [02m00s] 10369 ab:ab=1,aaabb=aab infinite ab - - ab:ab=1 [02m00s] from: 10369 ab:ab=1,aaabb=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10370 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 10370 ab:ab=1,aaabb=aba infinite ab - - ab:ab=1 [02m00s] from: 10370 ab:ab=1,aaabb=aba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10371 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 10371 ab:ab=1,aaabb=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10371 ab:ab=1,aaabb=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10372 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:4us [02m00s] 10372 ab:ab=1,aaabb=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10372 ab:ab=1,aaabb=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10373 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:3us [02m00s] 10373 ab:ab=1,aaabb=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10373 ab:ab=1,aaabb=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10374 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:58,nodes:8,pairs:10,completionMax:20us [02m00s] 10374 ab:ab=1,aaabb=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10374 ab:ab=1,aaabb=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10375 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:2,work:54,nodes:8,pairs:8,completionMax:23us [02m00s] 10375 ab:ab=1,aaabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10375 ab:ab=1,aaabb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10376 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 10376 ab:ab=1,aabaa=aaa infinite ab - - ab:ab=1 [02m00s] from: 10376 ab:ab=1,aabaa=aaa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10377 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:6,pairs:2,completionMax:9us [02m00s] 10377 ab:ab=1,aabaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10377 ab:ab=1,aabaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10378 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:2,completionMax:10us [02m00s] 10378 ab:ab=1,aabaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10378 ab:ab=1,aabaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10379 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:4us [02m00s] 10379 ab:ab=1,aabaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10379 ab:ab=1,aabaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10380 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:109,nodes:12,pairs:7,completionMax:21us [02m00s] 10380 ab:ab=1,aabaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10380 ab:ab=1,aabaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10381 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:3us [02m00s] 10381 ab:ab=1,aabaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10381 ab:ab=1,aabaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10382 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:95,nodes:12,pairs:11,completionMax:26us [02m00s] 10382 ab:ab=1,aabaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10382 ab:ab=1,aabaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10383 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:4,work:200,nodes:18,pairs:8,completionMax:31us [02m00s] 10383 ab:ab=1,aabaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10383 ab:ab=1,aabaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10384 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:9us [02m00s] 10384 ab:ab=1,aabab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10384 ab:ab=1,aabab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10385 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [02m00s] 10385 ab:ab=1,aabab=aab infinite ab - - ab:ab=1 [02m00s] from: 10385 ab:ab=1,aabab=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10386 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:0us [02m00s] 10386 ab:ab=1,aabab=aba infinite ab - - ab:ab=1 [02m00s] from: 10386 ab:ab=1,aabab=aba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10387 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 10387 ab:ab=1,aabab=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10387 ab:ab=1,aabab=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10388 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:3us [02m00s] 10388 ab:ab=1,aabab=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10388 ab:ab=1,aabab=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10389 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:2us [02m00s] 10389 ab:ab=1,aabab=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10389 ab:ab=1,aabab=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10390 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:57,nodes:8,pairs:10,completionMax:25us [02m00s] 10390 ab:ab=1,aabab=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10390 ab:ab=1,aabab=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10391 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:2,work:53,nodes:8,pairs:8,completionMax:21us [02m00s] 10391 ab:ab=1,aabab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10391 ab:ab=1,aabab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10392 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:8us [02m00s] 10392 ab:ab=1,aabba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10392 ab:ab=1,aabba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10393 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 10393 ab:ab=1,aabba=aab infinite ab - - ab:ab=1 [02m00s] from: 10393 ab:ab=1,aabba=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10394 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10394 ab:ab=1,aabba=aba infinite ab - - ab:ab=1 [02m00s] from: 10394 ab:ab=1,aabba=aba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10395 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:5us [02m00s] 10395 ab:ab=1,aabba=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10395 ab:ab=1,aabba=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10396 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:6us [02m00s] 10396 ab:ab=1,aabba=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10396 ab:ab=1,aabba=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10397 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:2us [02m00s] 10397 ab:ab=1,aabba=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10397 ab:ab=1,aabba=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10398 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:8,pairs:10,completionMax:26us [02m00s] 10398 ab:ab=1,aabba=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10398 ab:ab=1,aabba=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10399 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:2,work:52,nodes:8,pairs:8,completionMax:22us [02m00s] 10399 ab:ab=1,aabba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10399 ab:ab=1,aabba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10400 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:0us [02m00s] 10400 ab:ab=1,abaaa=aaa infinite ab - - ab:ab=1 [02m00s] from: 10400 ab:ab=1,abaaa=aaa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10401 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:2,completionMax:10us [02m00s] 10401 ab:ab=1,abaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10401 ab:ab=1,abaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10402 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:6,pairs:2,completionMax:9us [02m00s] 10402 ab:ab=1,abaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10402 ab:ab=1,abaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10403 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:1,completionMax:5us [02m00s] 10403 ab:ab=1,abaaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10403 ab:ab=1,abaaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10404 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:108,nodes:12,pairs:7,completionMax:28us [02m00s] 10404 ab:ab=1,abaaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10404 ab:ab=1,abaaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10405 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:1,completionMax:4us [02m00s] 10405 ab:ab=1,abaaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10405 ab:ab=1,abaaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10406 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:94,nodes:12,pairs:11,completionMax:25us [02m00s] 10406 ab:ab=1,abaaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10406 ab:ab=1,abaaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10407 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:4,work:199,nodes:18,pairs:8,completionMax:30us [02m00s] 10407 ab:ab=1,abaaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10407 ab:ab=1,abaaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10408 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:6us [02m00s] 10408 ab:ab=1,abaab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10408 ab:ab=1,abaab=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10409 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [02m00s] 10409 ab:ab=1,abaab=aab infinite ab - - ab:ab=1 [02m00s] from: 10409 ab:ab=1,abaab=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10410 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10410 ab:ab=1,abaab=aba infinite ab - - ab:ab=1 [02m00s] from: 10410 ab:ab=1,abaab=aba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10411 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:5us [02m00s] 10411 ab:ab=1,abaab=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10411 ab:ab=1,abaab=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10412 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:7,nodes:8,pairs:1,completionMax:7us [02m00s] 10412 ab:ab=1,abaab=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10412 ab:ab=1,abaab=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10413 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [02m00s] 10413 ab:ab=1,abaab=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10413 ab:ab=1,abaab=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10414 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:8,pairs:10,completionMax:22us [02m00s] 10414 ab:ab=1,abaab=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10414 ab:ab=1,abaab=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10415 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:2,work:52,nodes:8,pairs:8,completionMax:21us [02m00s] 10415 ab:ab=1,abaab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10415 ab:ab=1,abaab=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10416 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:6,pairs:2,completionMax:12us [02m00s] 10416 ab:ab=1,ababa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10416 ab:ab=1,ababa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10417 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10417 ab:ab=1,ababa=aab infinite ab - - ab:ab=1 [02m00s] from: 10417 ab:ab=1,ababa=aab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10418 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10418 ab:ab=1,ababa=aba infinite ab - - ab:ab=1 [02m00s] from: 10418 ab:ab=1,ababa=aba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10419 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:4,pairs:1,completionMax:6us [02m00s] 10419 ab:ab=1,ababa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10419 ab:ab=1,ababa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10420 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:6,nodes:8,pairs:1,completionMax:6us [02m00s] 10420 ab:ab=1,ababa=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10420 ab:ab=1,ababa=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10421 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:4,pairs:1,completionMax:2us [02m00s] 10421 ab:ab=1,ababa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10421 ab:ab=1,ababa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10422 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:8,pairs:10,completionMax:21us [02m00s] 10422 ab:ab=1,ababa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10422 ab:ab=1,ababa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10423 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:2,work:51,nodes:8,pairs:8,completionMax:24us [02m00s] 10423 ab:ab=1,ababa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10423 ab:ab=1,ababa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10424 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:108,nodes:12,pairs:7,completionMax:28us [02m00s] 10424 ab:ab=1,abbaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10424 ab:ab=1,abbaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10425 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:3us [02m00s] 10425 ab:ab=1,abbaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10425 ab:ab=1,abbaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10426 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:7us [02m00s] 10426 ab:ab=1,abbaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10426 ab:ab=1,abbaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10427 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:8,pairs:4,completionMax:13us [02m00s] 10427 ab:ab=1,abbaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10427 ab:ab=1,abbaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10428 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10428 ab:ab=1,abbaa=baa infinite ab - - ab:ab=1 [02m00s] from: 10428 ab:ab=1,abbaa=baa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10429 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:4,completionMax:10us [02m00s] 10429 ab:ab=1,abbaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10429 ab:ab=1,abbaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10430 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:74,nodes:8,pairs:10,completionMax:21us [02m00s] 10430 ab:ab=1,abbaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10430 ab:ab=1,abbaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10431 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:149,nodes:14,pairs:15,completionMax:35us [02m00s] 10431 ab:ab=1,abbaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10431 ab:ab=1,abbaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10432 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:94,nodes:12,pairs:11,completionMax:30us [02m00s] 10432 ab:ab=1,abbba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10432 ab:ab=1,abbba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10433 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:56,nodes:8,pairs:10,completionMax:23us [02m00s] 10433 ab:ab=1,abbba=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10433 ab:ab=1,abbba=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10434 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:55,nodes:8,pairs:10,completionMax:18us [02m00s] 10434 ab:ab=1,abbba=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10434 ab:ab=1,abbba=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10435 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:6,nodes:8,pairs:1,completionMax:3us [02m00s] 10435 ab:ab=1,abbba=abb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10435 ab:ab=1,abbba=abb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10436 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:74,nodes:8,pairs:10,completionMax:17us [02m00s] 10436 ab:ab=1,abbba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10436 ab:ab=1,abbba=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10437 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:4us [02m00s] 10437 ab:ab=1,abbba=bab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10437 ab:ab=1,abbba=bab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10438 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:2,nodes:4,pairs:0,completionMax:1us [02m00s] 10438 ab:ab=1,abbba=bba infinite ab - - ab:ab=1 [02m00s] from: 10438 ab:ab=1,abbba=bba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10439 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:174,nodes:12,pairs:10,completionMax:37us [02m00s] 10439 ab:ab=1,abbba=bbb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10439 ab:ab=1,abbba=bbb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10440 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:9,nodes:12,pairs:3,completionMax:14us [02m00s] 10440 ab:ab=1,baaaa=aaa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10440 ab:ab=1,baaaa=aaa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10441 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:101,nodes:16,pairs:11,completionMax:33us [02m00s] 10441 ab:ab=1,baaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10441 ab:ab=1,baaaa=aab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10442 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:100,nodes:16,pairs:11,completionMax:33us [02m00s] 10442 ab:ab=1,baaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10442 ab:ab=1,baaaa=aba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10443 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:44,nodes:16,pairs:4,completionMax:18us [02m00s] 10443 ab:ab=1,baaaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10443 ab:ab=1,baaaa=abb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10444 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:184,nodes:16,pairs:10,completionMax:43us [02m00s] 10444 ab:ab=1,baaaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10444 ab:ab=1,baaaa=baa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10445 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:45,nodes:16,pairs:4,completionMax:18us [02m00s] 10445 ab:ab=1,baaaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10445 ab:ab=1,baaaa=bab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10446 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:128,nodes:12,pairs:9,completionMax:33us [02m00s] 10446 ab:ab=1,baaaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10446 ab:ab=1,baaaa=bba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10447 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:4,work:351,nodes:22,pairs:17,completionMax:49us [02m00s] 10447 ab:ab=1,baaaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10447 ab:ab=1,baaaa=bbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10448 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:110,nodes:12,pairs:7,completionMax:22us [02m00s] 10448 ab:ab=1,baaba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10448 ab:ab=1,baaba=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10449 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:8us [02m00s] 10449 ab:ab=1,baaba=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10449 ab:ab=1,baaba=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10450 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:6us [02m00s] 10450 ab:ab=1,baaba=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10450 ab:ab=1,baaba=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10451 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:4,completionMax:14us [02m00s] 10451 ab:ab=1,baaba=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10451 ab:ab=1,baaba=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10452 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:4,nodes:4,pairs:0,completionMax:0us [02m00s] 10452 ab:ab=1,baaba=baa infinite ab - - ab:ab=1 [02m00s] from: 10452 ab:ab=1,baaba=baa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10453 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:4,completionMax:15us [02m00s] 10453 ab:ab=1,baaba=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10453 ab:ab=1,baaba=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10454 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:76,nodes:8,pairs:10,completionMax:22us [02m00s] 10454 ab:ab=1,baaba=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10454 ab:ab=1,baaba=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10455 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:151,nodes:14,pairs:15,completionMax:37us [02m00s] 10455 ab:ab=1,baaba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10455 ab:ab=1,baaba=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10456 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:109,nodes:12,pairs:7,completionMax:24us [02m00s] 10456 ab:ab=1,babaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10456 ab:ab=1,babaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10457 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:4us [02m00s] 10457 ab:ab=1,babaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10457 ab:ab=1,babaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10458 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:7,nodes:8,pairs:1,completionMax:4us [02m00s] 10458 ab:ab=1,babaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10458 ab:ab=1,babaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10459 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:36,nodes:8,pairs:4,completionMax:18us [02m00s] 10459 ab:ab=1,babaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10459 ab:ab=1,babaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10460 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:3,nodes:4,pairs:0,completionMax:1us [02m00s] 10460 ab:ab=1,babaa=baa infinite ab - - ab:ab=1 [02m00s] from: 10460 ab:ab=1,babaa=baa infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10461 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:4,completionMax:19us [02m00s] 10461 ab:ab=1,babaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10461 ab:ab=1,babaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10462 solved: rounds:3,rules:2,peak:5,longest:3,steps:1,word:0,work:75,nodes:8,pairs:10,completionMax:19us [02m00s] 10462 ab:ab=1,babaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10462 ab:ab=1,babaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10463 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:150,nodes:14,pairs:15,completionMax:40us [02m00s] 10463 ab:ab=1,babaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10463 ab:ab=1,babaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10464 solved: rounds:5,rules:2,peak:7,longest:5,steps:2,word:0,work:438,nodes:20,pairs:24,completionMax:58us [02m00s] 10464 ab:ab=1,bbaaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10464 ab:ab=1,bbaaa=aaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10465 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:33,nodes:16,pairs:11,completionMax:17us [02m00s] 10465 ab:ab=1,bbaaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10465 ab:ab=1,bbaaa=aab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10466 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:32,nodes:16,pairs:11,completionMax:30us [02m00s] 10466 ab:ab=1,bbaaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10466 ab:ab=1,bbaaa=aba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10467 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:214,nodes:16,pairs:22,completionMax:50us [02m00s] 10467 ab:ab=1,bbaaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10467 ab:ab=1,bbaaa=abb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10468 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:29,nodes:16,pairs:7,completionMax:21us [02m00s] 10468 ab:ab=1,bbaaa=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10468 ab:ab=1,bbaaa=baa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10469 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:215,nodes:16,pairs:22,completionMax:44us [02m00s] 10469 ab:ab=1,bbaaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10469 ab:ab=1,bbaaa=bab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10470 solved: rounds:4,rules:2,peak:6,longest:5,steps:2,word:0,work:200,nodes:16,pairs:12,completionMax:40us [02m00s] 10470 ab:ab=1,bbaaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10470 ab:ab=1,bbaaa=bba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10471 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:2,work:497,nodes:32,pairs:12,completionMax:59us [02m00s] 10471 ab:ab=1,bbaaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10471 ab:ab=1,bbaaa=bbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10472 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:5us [02m00s] 10472 ab:aa=1,aaab=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10472 ab:aa=1,aaab=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10473 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [02m00s] 10473 ab:aa=1,aaba=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10473 ab:aa=1,aaba=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10474 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:2us [02m00s] 10474 ab:aa=1,aaba=aaab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10474 ab:aa=1,aaba=aaab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10475 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [02m00s] 10475 ab:aa=1,aabb=aaaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10475 ab:aa=1,aabb=aaaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10476 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:8us [02m00s] 10476 ab:aa=1,aabb=aaab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10476 ab:aa=1,aabb=aaab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10477 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:3us [02m00s] 10477 ab:aa=1,aabb=aaba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10477 ab:aa=1,aabb=aaba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10478 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10478 ab:aa=1,abaa=aaab infinite ab - - ab:aa=1 [02m00s] from: 10478 ab:aa=1,abaa=aaab infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10479 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:3us [02m00s] 10479 ab:aa=1,abaa=aaba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10479 ab:aa=1,abaa=aaba infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10480 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:1,completionMax:5us [02m00s] 10480 ab:aa=1,abaa=aabb finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10480 ab:aa=1,abaa=aabb finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10481 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:12,pairs:1,completionMax:7us [02m00s] 10481 ab:aa=1,abab=aaaa infinite;group:a-a,b-aba ab - - ab:aa=1,bab=a [02m00s] from: 10481 ab:aa=1,abab=aaaa infinite;group:a-a,b-aba to: 68 ab:aa=1,abab=1 infinite;group:a-a,b-aba a=a,b=b [02m00s] # 10482 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:12,pairs:1,completionMax:6us [02m00s] 10482 ab:aa=1,abab=aaab infinite ab - - ab:aa=1,bab=b [02m00s] from: 10482 ab:aa=1,abab=aaab infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10483 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:197,nodes:14,pairs:11,completionMax:28us [02m00s] 10483 ab:aa=1,abab=aaba finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10483 ab:aa=1,abab=aaba finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10484 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:2,completionMax:8us [02m00s] 10484 ab:aa=1,abab=aabb infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10484 ab:aa=1,abab=aabb infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10485 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:12,pairs:1,completionMax:5us [02m00s] 10485 ab:aa=1,abab=abaa infinite ab - - ab:aa=1,bab=b [02m00s] from: 10485 ab:aa=1,abab=abaa infinite to: 93 ab:aa=1,bab=b infinite a=a,b=b [02m00s] # 10486 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:12,pairs:7,completionMax:15us [02m00s] 10486 ab:aa=1,abba=aaaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10486 ab:aa=1,abba=aaaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10487 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:107,nodes:12,pairs:8,completionMax:18us [02m00s] 10487 ab:aa=1,abba=aaab finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10487 ab:aa=1,abba=aaab finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10488 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:110,nodes:10,pairs:8,completionMax:16us [02m00s] 10488 ab:aa=1,abba=aaba finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10488 ab:aa=1,abba=aaba finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10489 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:3,completionMax:7us [02m00s] 10489 ab:aa=1,abba=aabb infinite ab - - ab:aa=1,bba=abb [02m00s] from: 10489 ab:aa=1,abba=aabb infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 10490 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:86,nodes:12,pairs:2,completionMax:12us [02m00s] 10490 ab:aa=1,abba=abab infinite ba - - ab:aa=1,bab=bba [02m00s] from: 10490 ab:aa=1,abba=abab infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 10491 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:21,nodes:12,pairs:4,completionMax:12us [02m00s] 10491 ab:aa=1,abbb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10491 ab:aa=1,abbb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10492 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:8us [02m00s] 10492 ab:aa=1,abbb=aaab infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10492 ab:aa=1,abbb=aaab infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10493 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:119,nodes:20,pairs:1,completionMax:16us [02m00s] 10493 ab:aa=1,abbb=aaba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10493 ab:aa=1,abbb=aaba finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10494 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:49,nodes:12,pairs:3,completionMax:13us [02m00s] 10494 ab:aa=1,abbb=aabb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10494 ab:aa=1,abbb=aabb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10495 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:5us [02m00s] 10495 ab:aa=1,abbb=abaa infinite ab - - ab:aa=1,bbb=b [02m00s] from: 10495 ab:aa=1,abbb=abaa infinite to: 95 ab:aa=1,bbb=b infinite a=a,b=b [02m00s] # 10496 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:46,nodes:12,pairs:2,completionMax:10us [02m00s] 10496 ab:aa=1,abbb=abab infinite ba - - ab:aa=1,bab=bbb [02m00s] from: 10496 ab:aa=1,abbb=abab infinite to: 1257 ab:aa=1,bbb=bab infinite a=a,b=b [02m00s] # 10497 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:187,nodes:16,pairs:6,completionMax:19us [02m00s] 10497 ab:aa=1,abbb=abba infinite ba - - ab:aa=1,bba=bbb,bbbb=bb [02m00s] from: 10497 ab:aa=1,abbb=abba infinite to: 1193 ab:aa=1,abbb=bb infinite anti:a=a,b=b [02m00s] # 10498 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:2us [02m00s] 10498 ab:aa=1,baaa=aaab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 ab - - ab:aa=1,ba=ab [02m00s] from: 10498 ab:aa=1,baaa=aaab infinite;commutative:ab:a2=1;saturation:ab:b2=1;cancellative;smith:2,0 to: 23 ab:ba=ab,bb=1 infinite;commutative:ab:b2=1;saturation:ab:b2=1;cancellative;smith:2,0 a=b,b=a [02m00s] # 10499 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:3us [02m00s] 10499 ab:aa=1,baaa=aabb finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10499 ab:aa=1,baaa=aabb finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10500 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:198,nodes:14,pairs:11,completionMax:29us [02m00s] 10500 ab:aa=1,baaa=abab finite:8;idempotents:1,bb;center:1,bb ab - - ab:aa=1,bab=aba,bba=abb,bbb=b [02m00s] from: 10500 ab:aa=1,baaa=abab finite:8;idempotents:1,bb;center:1,bb to: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb a=a,b=b [02m00s] # 10501 solved: rounds:1,rules:3,peak:3,longest:9,steps:11,word:6,work:120,nodes:20,pairs:1,completionMax:16us [02m00s] 10501 ab:aa=1,baaa=abbb finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=abbb,aa=1 [02m00s] from: 10501 ab:aa=1,baaa=abbb finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=b [02m00s] # 10502 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:2us [02m00s] 10502 ab:aa=1,baab=aaaa infinite;group:a-a,b-b ab - - ab:aa=1,bb=1 [02m00s] from: 10502 ab:aa=1,baab=aaaa infinite;group:a-a,b-b to: 2 ab:aa=1,bb=1 infinite;group:a-a,b-b a=a,b=b [02m00s] # 10503 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:5us [02m00s] 10503 ab:aa=1,baab=aaab finite:6;idempotents:1,ba,bb ba - - ab:ab=bb,aa=1,bbb=b [02m00s] from: 10503 ab:aa=1,baab=aaab finite:6;idempotents:1,ba,bb to: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb a=a,b=b [02m00s] # 10504 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:19,nodes:8,pairs:1,completionMax:5us [02m00s] 10504 ab:aa=1,baab=aaba finite:6;idempotents:1,ab,bb ba - - ab:ba=bb,aa=1,bbb=b [02m00s] from: 10504 ab:aa=1,baab=aaba finite:6;idempotents:1,ab,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba a=b,b=a [02m00s] # 10505 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10505 ab:aa=1,baab=aabb infinite ab - - ab:aa=1 [02m00s] from: 10505 ab:aa=1,baab=aabb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10506 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:12,pairs:2,completionMax:10us [02m00s] 10506 ab:aa=1,baab=abab infinite ab - - ab:aa=1,bab=abb [02m00s] from: 10506 ab:aa=1,baab=abab infinite to: 1186 ab:aa=1,abab=bb infinite a=a,b=b [02m00s] # 10507 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:12,pairs:3,completionMax:11us [02m00s] 10507 ab:aa=1,baab=abba infinite ab - - ab:aa=1,bba=abb [02m00s] from: 10507 ab:aa=1,baab=abba infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=b [02m00s] # 10508 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:12,pairs:3,completionMax:9us [02m00s] 10508 ab:aa=1,baab=abbb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10508 ab:aa=1,baab=abbb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10509 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:60,nodes:10,pairs:2,completionMax:13us [02m00s] 10509 ab:aa=1,baba=aabb infinite ba - - ab:aa=1,bab=bba [02m00s] from: 10509 ab:aa=1,baba=aabb infinite to: 1186 ab:aa=1,abab=bb infinite anti:a=a,b=b [02m00s] # 10510 solved: rounds:1,rules:3,peak:4,longest:4,steps:3,word:1,work:92,nodes:15,pairs:6,completionMax:13us [02m00s] 10510 ab:aa=1,baba=abab infinite ac/b ba=c frequency:2/0 abc:aa=1,cca=acc,b=ca [02m00s] from: 10510 ab:aa=1,baba=abab infinite to: 1189 ab:aa=1,abba=bb infinite a=a,b=ba,c=b [02m00s] # 10511 solved: rounds:5,rules:7,peak:8,longest:11,steps:19,word:0,work:14546,nodes:74,pairs:24,completionMax:428us [02m00s] 10511 ab:aa=1,baba=abbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb ab - - ab:aa=1,baba=abbb,bbba=abab,bbabbb=ababba,babbbbbbb=ababbabba,bbbbbbbbbb=abbabbabba,babbabbabba=abbabbabbab [02m00s] from: 10511 ab:aa=1,baba=abbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb to: 10273 ab:aa=1,ababa=bbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb a=a,b=b [02m00s] # 10512 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:2,work:180,nodes:16,pairs:6,completionMax:28us [02m00s] 10512 ab:aa=1,babb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbb [02m00s] from: 10512 ab:aa=1,babb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b3;saturation:a:a6=1;cancellative;smith:6;group:a-bbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=b [02m00s] # 10513 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:45,nodes:12,pairs:1,completionMax:7us [02m00s] 10513 ab:aa=1,babb=aaab infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10513 ab:aa=1,babb=aaab infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10514 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:33,nodes:12,pairs:1,completionMax:7us [02m00s] 10514 ab:aa=1,babb=aaba infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 10514 ab:aa=1,babb=aaba infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 10515 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [02m00s] 10515 ab:aa=1,babb=aabb infinite ab - - ab:aa=1,babb=bb [02m00s] from: 10515 ab:aa=1,babb=aabb infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 10516 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:47,nodes:12,pairs:1,completionMax:6us [02m00s] 10516 ab:aa=1,babb=abaa infinite ab - - ab:aa=1,babb=ab,babab=b [02m00s] from: 10516 ab:aa=1,babb=abaa infinite to: 1117 ab:aa=1,ababb=b infinite a=a,b=b [02m00s] # 10517 solved: rounds:3,rules:5,peak:5,longest:7,steps:7,word:0,work:1061,nodes:30,pairs:5,completionMax:61us [02m00s] 10517 ab:aa=1,babb=abab infinite ab - - ab:aa=1,babb=abab,bbabab=abbbab,bbbbab=bbab,bababab=abbab [02m00s] from: 10517 ab:aa=1,babb=abab infinite to: 10279 ab:aa=1,ababb=bab infinite a=a,b=b [02m00s] # 10518 solved: rounds:2,rules:4,peak:9,longest:7,steps:4,word:0,work:1135,nodes:32,pairs:18,completionMax:94us [02m00s] 10518 ab:aa=1,babb=abba infinite ba - - ab:aa=1,bba=bbb,abb=bbb,bbbb=bb [02m00s] from: 10518 ab:aa=1,babb=abba infinite to: 10004 ab:aa=1,ababba=bb infinite a=a,b=b [02m00s] # 10519 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:33,nodes:10,pairs:0,completionMax:3us [02m00s] 10519 ab:aa=1,babb=abbb infinite ab - - ab:aa=1,babb=abbb [02m00s] from: 10519 ab:aa=1,babb=abbb infinite to: 10281 ab:aa=1,ababb=bbb infinite a=a,b=b [02m00s] # 10520 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:1,completionMax:9us [02m00s] 10520 ab:aa=1,babb=baaa infinite ab - - ab:aa=1,bbb=b,babb=ba [02m00s] from: 10520 ab:aa=1,babb=baaa infinite to: 1119 ab:aa=1,abbab=b infinite anti:a=a,b=b [02m00s] # 10521 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [02m00s] 10521 ab:aa=1,babb=baab infinite ab - - ab:aa=1,babb=bb [02m00s] from: 10521 ab:aa=1,babb=baab infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 10522 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:125,nodes:12,pairs:1,completionMax:11us [02m00s] 10522 ab:aa=1,babb=baba infinite ab - - ab:aa=1,babb=baba,babab=bab [02m00s] from: 10522 ab:aa=1,babb=baba infinite to: 10287 ab:aa=1,abbab=bab infinite anti:a=a,b=b [02m00s] # 10523 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:1us [02m00s] 10523 ab:aa=1,bbaa=aabb infinite ab - - ab:aa=1 [02m00s] from: 10523 ab:aa=1,bbaa=aabb infinite to: 64 ab:aa=1,aaaa=1 infinite a=a,b=1 [02m00s] # 10524 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:3,completionMax:12us [02m00s] 10524 ab:aa=1,bbaa=abbb infinite ba - - ab:aa=1,abb=bbb,bbbb=bb [02m00s] from: 10524 ab:aa=1,bbaa=abbb infinite to: 1193 ab:aa=1,abbb=bb infinite a=a,b=b [02m00s] # 10525 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [02m00s] 10525 ab:aa=1,bbaa=babb infinite ab - - ab:aa=1,babb=bb [02m00s] from: 10525 ab:aa=1,bbaa=babb infinite to: 1200 ab:aa=1,babb=bb infinite a=a,b=b [02m00s] # 10526 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:20,nodes:10,pairs:0,completionMax:3us [02m00s] 10526 ab:aa=1,bbab=abbb infinite ab - - ab:aa=1,bbab=abbb [02m00s] from: 10526 ab:aa=1,bbab=abbb infinite to: 10289 ab:aa=1,abbab=bbb infinite a=a,b=b [02m00s] # 10527 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:2us [02m00s] 10527 ab:aa=1,bbab=babb infinite ab - - ab:aa=1,bbab=babb [02m00s] # 10528 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:7,nodes:10,pairs:0,completionMax:3us [02m00s] 10528 ab:aa=1,bbba=abbb infinite ab - - ab:aa=1,bbba=abbb [02m00s] from: 10528 ab:aa=1,bbba=abbb infinite to: 10295 ab:aa=1,abbba=bbb infinite a=a,b=b [02m00s] # 10529 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:4,nodes:10,pairs:0,completionMax:4us [02m00s] 10529 ab:aa=1,bbbb=aaaa infinite;group:a-a,b-bbb ab - - ab:aa=1,bbbb=1 [02m00s] from: 10529 ab:aa=1,bbbb=aaaa infinite;group:a-a,b-bbb to: 73 ab:aa=1,bbbb=1 infinite;group:a-a,b-bbb a=a,b=b [02m00s] # 10530 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:27,nodes:16,pairs:1,completionMax:7us [02m00s] 10530 ab:aa=1,bbbb=aaab finite:14;idempotents:1,bbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbb,aa=1 [02m00s] from: 10530 ab:aa=1,bbbb=aaab finite:14;idempotents:1,bbba,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=b [02m00s] # 10531 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:2,work:30,nodes:16,pairs:1,completionMax:6us [02m00s] 10531 ab:aa=1,bbbb=aaba finite:14;idempotents:1,abbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbb,aa=1 [02m00s] from: 10531 ab:aa=1,bbbb=aaba finite:14;idempotents:1,abbb,bbbbbb to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb anti:a=a,b=b [02m00s] # 10532 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:2us [02m00s] 10532 ab:aa=1,bbbb=aabb infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 10532 ab:aa=1,bbbb=aabb infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 10533 solved: rounds:2,rules:3,peak:4,longest:14,steps:16,word:8,work:938,nodes:54,pairs:6,completionMax:60us [02m00s] 10533 ab:aa=1,bbbb=abab finite:50;idempotents:1,bbbbbbbb,abbbbbbbba b/a - - ab:bbbbbbbbbbbbb=bbbbb,bab=abbbb,aa=1 [02m00s] from: 10533 ab:aa=1,bbbb=abab finite:50;idempotents:1,bbbbbbbb,abbbbbbbba to: 10301 ab:aa=1,abbbb=bab finite:50;idempotents:1,bbbbbbbb,abbbbbbbba a=a,b=b [02m00s] # 10534 solved: rounds:2,rules:3,peak:4,longest:9,steps:5,word:4,work:374,nodes:32,pairs:7,completionMax:41us [02m00s] 10534 ab:aa=1,bbbb=abba infinite b/a - - ab:bbbbbbbb=bb,bba=abbbb,aa=1 [02m00s] from: 10534 ab:aa=1,bbbb=abba infinite to: 10023 ab:aa=1,abbbba=bb infinite a=a,b=b [02m00s] # 10535 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:94,nodes:16,pairs:1,completionMax:11us [02m00s] 10535 ab:aa=1,bbbb=abbb infinite ba - - ab:aa=1,abbb=bbbb,bbbbb=bbb [02m00s] from: 10535 ab:aa=1,bbbb=abbb infinite to: 10303 ab:aa=1,abbbb=bbb infinite a=a,b=b [02m00s] # 10536 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [02m00s] 10536 ab:aa=1,bbbb=baab infinite ab - - ab:aa=1,bbbb=bb [02m00s] from: 10536 ab:aa=1,bbbb=baab infinite to: 1203 ab:aa=1,bbbb=bb infinite a=a,b=b [02m00s] # 10537 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:3us [02m00s] 10537 ab:aa=1,bbbb=babb infinite ba - - ab:aa=1,babb=bbbb [02m00s] # 10538 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:65,nodes:8,pairs:3,completionMax:14us [02m00s] 10538 ab:ab=1,aaab=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10538 ab:ab=1,aaab=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10539 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:64,nodes:8,pairs:3,completionMax:18us [02m00s] 10539 ab:ab=1,aaba=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10539 ab:ab=1,aaba=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10540 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:7,nodes:4,pairs:0,completionMax:1us [02m00s] 10540 ab:ab=1,aaba=aaab infinite ab - - ab:ab=1 [02m00s] from: 10540 ab:ab=1,aaba=aaab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10541 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:4us [02m00s] 10541 ab:ab=1,aabb=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10541 ab:ab=1,aabb=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10542 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:3us [02m00s] 10542 ab:ab=1,aabb=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10542 ab:ab=1,aabb=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10543 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:4us [02m00s] 10543 ab:ab=1,aabb=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10543 ab:ab=1,aabb=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10544 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:63,nodes:8,pairs:3,completionMax:15us [02m00s] 10544 ab:ab=1,abaa=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10544 ab:ab=1,abaa=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10545 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10545 ab:ab=1,abaa=aaab infinite ab - - ab:ab=1 [02m00s] from: 10545 ab:ab=1,abaa=aaab infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10546 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:0us [02m00s] 10546 ab:ab=1,abaa=aaba infinite ab - - ab:ab=1 [02m00s] from: 10546 ab:ab=1,abaa=aaba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10547 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:3us [02m00s] 10547 ab:ab=1,abaa=aabb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10547 ab:ab=1,abaa=aabb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10548 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:8,nodes:8,pairs:1,completionMax:4us [02m00s] 10548 ab:ab=1,abab=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10548 ab:ab=1,abab=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10549 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:4us [02m00s] 10549 ab:ab=1,abab=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10549 ab:ab=1,abab=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10550 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:2us [02m00s] 10550 ab:ab=1,abab=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10550 ab:ab=1,abab=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10551 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:0us [02m00s] 10551 ab:ab=1,abab=aabb infinite ab - - ab:ab=1 [02m00s] from: 10551 ab:ab=1,abab=aabb infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10552 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [02m00s] 10552 ab:ab=1,abab=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10552 ab:ab=1,abab=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10553 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:45,nodes:12,pairs:4,completionMax:15us [02m00s] 10553 ab:ab=1,abba=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10553 ab:ab=1,abba=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10554 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:9us [02m00s] 10554 ab:ab=1,abba=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10554 ab:ab=1,abba=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10555 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:8,pairs:4,completionMax:13us [02m00s] 10555 ab:ab=1,abba=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10555 ab:ab=1,abba=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10556 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [02m00s] 10556 ab:ab=1,abba=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10556 ab:ab=1,abba=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10557 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:30,nodes:8,pairs:4,completionMax:12us [02m00s] 10557 ab:ab=1,abba=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10557 ab:ab=1,abba=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10558 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [02m00s] 10558 ab:ab=1,abba=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10558 ab:ab=1,abba=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10559 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:160,nodes:20,pairs:4,completionMax:32us [02m00s] 10559 ab:ab=1,abbb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10559 ab:ab=1,abbb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10560 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:52,nodes:12,pairs:4,completionMax:26us [02m00s] 10560 ab:ab=1,abbb=aaab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10560 ab:ab=1,abbb=aaab finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10561 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:51,nodes:12,pairs:4,completionMax:20us [02m00s] 10561 ab:ab=1,abbb=aaba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10561 ab:ab=1,abbb=aaba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10562 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:50,nodes:12,pairs:4,completionMax:15us [02m00s] 10562 ab:ab=1,abbb=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10562 ab:ab=1,abbb=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10563 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:42,nodes:8,pairs:5,completionMax:14us [02m00s] 10563 ab:ab=1,abbb=abba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10563 ab:ab=1,abbb=abba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10564 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:317,nodes:16,pairs:10,completionMax:45us [02m00s] 10564 ab:ab=1,baaa=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10564 ab:ab=1,baaa=aaaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10565 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:10,pairs:2,completionMax:10us [02m00s] 10565 ab:ab=1,baaa=aaab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10565 ab:ab=1,baaa=aaab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10566 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:10,pairs:2,completionMax:7us [02m00s] 10566 ab:ab=1,baaa=aaba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10566 ab:ab=1,baaa=aaba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10567 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:72,nodes:12,pairs:9,completionMax:26us [02m00s] 10567 ab:ab=1,baaa=aabb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10567 ab:ab=1,baaa=aabb finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10568 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:10,pairs:2,completionMax:10us [02m00s] 10568 ab:ab=1,baaa=abaa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10568 ab:ab=1,baaa=abaa infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10569 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:71,nodes:12,pairs:9,completionMax:29us [02m00s] 10569 ab:ab=1,baaa=abab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10569 ab:ab=1,baaa=abab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10570 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:7,completionMax:24us [02m00s] 10570 ab:ab=1,baaa=abba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10570 ab:ab=1,baaa=abba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10571 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:217,nodes:20,pairs:5,completionMax:35us [02m00s] 10571 ab:ab=1,baaa=abbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10571 ab:ab=1,baaa=abbb finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10572 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:47,nodes:12,pairs:4,completionMax:18us [02m00s] 10572 ab:ab=1,baab=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10572 ab:ab=1,baab=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10573 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:33,nodes:8,pairs:4,completionMax:11us [02m00s] 10573 ab:ab=1,baab=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10573 ab:ab=1,baab=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10574 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:10us [02m00s] 10574 ab:ab=1,baab=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10574 ab:ab=1,baab=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10575 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:0us [02m00s] 10575 ab:ab=1,baab=abba infinite ab - - ab:ab=1 [02m00s] from: 10575 ab:ab=1,baab=abba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10576 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:7,completionMax:20us [02m00s] 10576 ab:ab=1,baab=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10576 ab:ab=1,baab=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10577 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:2,work:46,nodes:12,pairs:4,completionMax:13us [02m00s] 10577 ab:ab=1,baba=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10577 ab:ab=1,baba=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10578 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:33,nodes:8,pairs:4,completionMax:13us [02m00s] 10578 ab:ab=1,baba=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10578 ab:ab=1,baba=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10579 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:32,nodes:8,pairs:4,completionMax:13us [02m00s] 10579 ab:ab=1,baba=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10579 ab:ab=1,baba=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10580 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [02m00s] 10580 ab:ab=1,baba=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10580 ab:ab=1,baba=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10581 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:31,nodes:8,pairs:4,completionMax:16us [02m00s] 10581 ab:ab=1,baba=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10581 ab:ab=1,baba=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10582 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:4us [02m00s] 10582 ab:ab=1,baba=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10582 ab:ab=1,baba=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10583 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:1us [02m00s] 10583 ab:ab=1,baba=abba infinite ab - - ab:ab=1 [02m00s] from: 10583 ab:ab=1,baba=abba infinite to: 77 ab:ab=1,aabb=1 infinite a=a,b=b [02m00s] # 10584 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:7,completionMax:31us [02m00s] 10584 ab:ab=1,baba=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10584 ab:ab=1,baba=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10585 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:161,nodes:20,pairs:4,completionMax:34us [02m00s] 10585 ab:ab=1,babb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10585 ab:ab=1,babb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10586 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:52,nodes:12,pairs:4,completionMax:20us [02m00s] 10586 ab:ab=1,babb=aaba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10586 ab:ab=1,babb=aaba finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10587 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:51,nodes:12,pairs:4,completionMax:16us [02m00s] 10587 ab:ab=1,babb=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10587 ab:ab=1,babb=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10588 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:218,nodes:20,pairs:5,completionMax:21us [02m00s] 10588 ab:ab=1,babb=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10588 ab:ab=1,babb=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10589 solved: rounds:4,rules:2,peak:6,longest:6,steps:2,word:2,work:252,nodes:18,pairs:15,completionMax:44us [02m00s] 10589 ab:ab=1,bbaa=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10589 ab:ab=1,bbaa=aaaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10590 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:170,nodes:14,pairs:17,completionMax:30us [02m00s] 10590 ab:ab=1,bbaa=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10590 ab:ab=1,bbaa=aaab finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10591 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:169,nodes:14,pairs:17,completionMax:53us [02m00s] 10591 ab:ab=1,bbaa=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10591 ab:ab=1,bbaa=aaba finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10592 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:15,nodes:12,pairs:6,completionMax:14us [02m00s] 10592 ab:ab=1,bbaa=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10592 ab:ab=1,bbaa=aabb infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10593 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:168,nodes:14,pairs:17,completionMax:40us [02m00s] 10593 ab:ab=1,bbaa=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10593 ab:ab=1,bbaa=abaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10594 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:14,nodes:12,pairs:6,completionMax:12us [02m00s] 10594 ab:ab=1,bbaa=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10594 ab:ab=1,bbaa=abab infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10595 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:13,nodes:12,pairs:4,completionMax:12us [02m00s] 10595 ab:ab=1,bbaa=abba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10595 ab:ab=1,bbaa=abba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10596 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:202,nodes:14,pairs:14,completionMax:42us [02m00s] 10596 ab:ab=1,bbaa=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a ab - - ab:b=a,aa=1 [02m00s] from: 10596 ab:ab=1,bbaa=baaa finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=b [02m00s] # 10597 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:14,nodes:12,pairs:4,completionMax:18us [02m00s] 10597 ab:ab=1,bbaa=baba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a ab - - ab:ab=1,ba=1 [02m00s] from: 10597 ab:ab=1,bbaa=baba infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=a,b=b [02m00s] # 10598 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:162,nodes:20,pairs:4,completionMax:34us [02m00s] 10598 ab:ab=1,bbab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10598 ab:ab=1,bbab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10599 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:52,nodes:12,pairs:4,completionMax:20us [02m00s] 10599 ab:ab=1,bbab=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10599 ab:ab=1,bbab=abaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10600 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:219,nodes:20,pairs:5,completionMax:25us [02m00s] 10600 ab:ab=1,bbab=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10600 ab:ab=1,bbab=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10601 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:4,work:304,nodes:18,pairs:15,completionMax:75us [02m00s] 10601 ab:ab=1,bbba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a a/b - - ab:aaaaaa=1,b=aaaaa [02m00s] from: 10601 ab:ab=1,bbba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=1,a=b5;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-a to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=b [02m00s] # 10602 solved: rounds:3,rules:2,peak:7,longest:12,steps:3,word:6,work:746,nodes:28,pairs:14,completionMax:73us [02m00s] 10602 ab:ab=1,bbba=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a a/b - - ab:aaaa=1,b=aaa [02m00s] from: 10602 ab:ab=1,bbba=baaa finite:4;center:1,a,aa,aaa;commutative:ab:b4=1,a=b3;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-a to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=a [02m00s] # 10603 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:6,work:414,nodes:24,pairs:16,completionMax:84us [02m00s] 10603 ab:ab=1,bbbb=aaaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a a/b - - ab:aaaaaaaa=1,b=aaaaaaa [02m00s] from: 10603 ab:ab=1,bbbb=aaaa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=1,a=b7;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-a to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaaa,b=a [02m00s] # 10604 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:100,nodes:8,pairs:6,completionMax:17us [02m00s] 10604 ab:aaaa=aaa,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10604 ab:aaaa=aaa,aaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10605 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:215,nodes:12,pairs:11,completionMax:45us [02m00s] 10605 ab:aaaa=aaa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10605 ab:aaaa=aaa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10606 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:0,work:113,nodes:10,pairs:6,completionMax:19us [02m00s] 10606 ab:aaaa=aaa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10606 ab:aaaa=aaa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10607 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:168,nodes:12,pairs:5,completionMax:28us [02m00s] 10607 ab:aaaa=aaa,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10607 ab:aaaa=aaa,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10608 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:205,nodes:16,pairs:8,completionMax:24us [02m00s] 10608 ab:aaaa=aaa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10608 ab:aaaa=aaa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10609 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:163,nodes:12,pairs:4,completionMax:17us [02m00s] 10609 ab:aaaa=aaa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10609 ab:aaaa=aaa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10610 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:320,nodes:14,pairs:23,completionMax:68us [02m00s] 10610 ab:aaaa=aaa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10610 ab:aaaa=aaa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10611 solved: rounds:6,rules:2,peak:5,longest:5,steps:5,word:0,work:457,nodes:20,pairs:9,completionMax:45us [02m00s] 10611 ab:aaaa=aaa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10611 ab:aaaa=aaa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10612 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:48,nodes:14,pairs:0,completionMax:5us [02m00s] 10612 ab:aaaa=aaa,bbbb=1 infinite ab - - ab:aaaa=aaa,bbbb=1 [02m00s] # 10613 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:16,nodes:10,pairs:2,completionMax:10us [02m00s] 10613 ab:aaaa=aab,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10613 ab:aaaa=aab,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10614 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:15,nodes:10,pairs:2,completionMax:6us [02m00s] 10614 ab:aaaa=aab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10614 ab:aaaa=aab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10615 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:2,work:22,nodes:12,pairs:2,completionMax:10us [02m00s] 10615 ab:aaaa=aab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10615 ab:aaaa=aab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10616 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:82,nodes:16,pairs:7,completionMax:33us [02m00s] 10616 ab:aaaa=aab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10616 ab:aaaa=aab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10617 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:1,work:117,nodes:18,pairs:6,completionMax:33us [02m00s] 10617 ab:aaaa=aab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10617 ab:aaaa=aab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10618 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:2,work:236,nodes:22,pairs:7,completionMax:34us [02m00s] 10618 ab:aaaa=aab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10618 ab:aaaa=aab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10619 solved: rounds:3,rules:2,peak:5,longest:8,steps:3,word:3,work:138,nodes:20,pairs:6,completionMax:40us [02m00s] 10619 ab:aaaa=aab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10619 ab:aaaa=aab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10620 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:1,work:102,nodes:20,pairs:4,completionMax:25us [02m00s] 10620 ab:aaaa=aab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10620 ab:aaaa=aab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10621 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:1,work:123,nodes:24,pairs:4,completionMax:32us [02m00s] 10621 ab:aaaa=aab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10621 ab:aaaa=aab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10622 solved: rounds:2,rules:2,peak:5,longest:8,steps:1,word:1,work:280,nodes:22,pairs:6,completionMax:47us [02m00s] 10622 ab:aaaa=aab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10622 ab:aaaa=aab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10623 solved: rounds:5,rules:2,peak:6,longest:9,steps:14,word:2,work:1030,nodes:28,pairs:20,completionMax:80us [02m00s] 10623 ab:aaaa=aab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10623 ab:aaaa=aab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10624 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:136,nodes:22,pairs:5,completionMax:23us [02m00s] 10624 ab:aaaa=aab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10624 ab:aaaa=aab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10625 solved: rounds:5,rules:2,peak:6,longest:9,steps:9,word:2,work:719,nodes:32,pairs:22,completionMax:86us [02m00s] 10625 ab:aaaa=aab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10625 ab:aaaa=aab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10626 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:3,work:274,nodes:24,pairs:8,completionMax:56us [02m00s] 10626 ab:aaaa=aab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10626 ab:aaaa=aab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10627 solved: rounds:1,rules:3,peak:3,longest:10,steps:3,word:3,work:88,nodes:26,pairs:1,completionMax:18us [02m00s] 10627 ab:aaaa=aab,bbbb=1 infinite a/b - - ab:aaaaaaaaaa=aa,aab=aaaa,bbbb=1 [02m00s] # 10628 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:1,work:109,nodes:14,pairs:6,completionMax:30us [02m00s] 10628 ab:aaaa=aba,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10628 ab:aaaa=aba,aaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10629 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:93,nodes:14,pairs:4,completionMax:18us [02m00s] 10629 ab:aaaa=aba,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10629 ab:aaaa=aba,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10630 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:34,nodes:12,pairs:3,completionMax:16us [02m00s] 10630 ab:aaaa=aba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10630 ab:aaaa=aba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10631 solved: rounds:3,rules:2,peak:4,longest:7,steps:1,word:1,work:130,nodes:16,pairs:7,completionMax:34us [02m00s] 10631 ab:aaaa=aba,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10631 ab:aaaa=aba,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10632 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:105,nodes:14,pairs:7,completionMax:26us [02m00s] 10632 ab:aaaa=aba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10632 ab:aaaa=aba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10633 solved: rounds:3,rules:2,peak:3,longest:7,steps:2,word:2,work:40,nodes:14,pairs:3,completionMax:15us [02m00s] 10633 ab:aaaa=aba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10633 ab:aaaa=aba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10634 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:2,work:438,nodes:26,pairs:19,completionMax:73us [02m00s] 10634 ab:aaaa=aba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10634 ab:aaaa=aba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10635 solved: rounds:3,rules:2,peak:8,longest:9,steps:6,word:3,work:783,nodes:22,pairs:13,completionMax:88us [02m00s] 10635 ab:aaaa=aba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10635 ab:aaaa=aba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10636 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:9,nodes:12,pairs:0,completionMax:5us [02m00s] 10636 ab:aaaa=aba,bbbb=1 infinite a/b - - ab:aba=aaaa,bbbb=1 [02m00s] # 10637 solved: rounds:2,rules:2,peak:3,longest:9,steps:1,word:5,work:19,nodes:18,pairs:3,completionMax:15us [02m00s] 10637 ab:aaaa=abb,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10637 ab:aaaa=abb,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10638 solved: rounds:4,rules:2,peak:6,longest:9,steps:4,word:5,work:266,nodes:18,pairs:22,completionMax:79us [02m00s] 10638 ab:aaaa=abb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10638 ab:aaaa=abb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10639 solved: rounds:2,rules:2,peak:5,longest:10,steps:3,word:3,work:365,nodes:30,pairs:23,completionMax:69us [02m00s] 10639 ab:aaaa=abb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10639 ab:aaaa=abb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10640 solved: rounds:3,rules:2,peak:5,longest:9,steps:4,word:5,work:302,nodes:22,pairs:9,completionMax:34us [02m00s] 10640 ab:aaaa=abb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10640 ab:aaaa=abb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10641 solved: rounds:4,rules:3,peak:12,longest:15,steps:9,word:20,work:5654,nodes:50,pairs:64,completionMax:279us [02m00s] 10641 ab:aaaa=abb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [02m00s] from: 10641 ab:aaaa=abb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [02m00s] # 10642 solved: rounds:2,rules:2,peak:6,longest:10,steps:3,word:9,work:611,nodes:22,pairs:27,completionMax:57us [02m00s] 10642 ab:aaaa=abb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10642 ab:aaaa=abb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10643 solved: rounds:2,rules:2,peak:3,longest:11,steps:1,word:6,work:25,nodes:22,pairs:3,completionMax:13us [02m00s] 10643 ab:aaaa=abb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10643 ab:aaaa=abb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10644 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:5,work:127,nodes:24,pairs:9,completionMax:24us [02m00s] 10644 ab:aaaa=abb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10644 ab:aaaa=abb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10645 solved: rounds:3,rules:2,peak:11,longest:25,steps:8,word:19,work:4149,nodes:70,pairs:67,completionMax:302us [02m00s] 10645 ab:aaaa=abb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10645 ab:aaaa=abb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10646 solved: rounds:4,rules:3,peak:7,longest:15,steps:13,word:15,work:1866,nodes:42,pairs:27,completionMax:106us [02m00s] 10646 ab:aaaa=abb,baba=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [02m00s] from: 10646 ab:aaaa=abb,baba=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [02m00s] # 10647 solved: rounds:3,rules:2,peak:5,longest:12,steps:2,word:6,work:188,nodes:32,pairs:9,completionMax:64us [02m00s] 10647 ab:aaaa=abb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10647 ab:aaaa=abb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10648 solved: rounds:2,rules:2,peak:7,longest:10,steps:3,word:9,work:641,nodes:24,pairs:24,completionMax:79us [02m00s] 10648 ab:aaaa=abb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10648 ab:aaaa=abb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10649 solved: rounds:3,rules:2,peak:6,longest:12,steps:3,word:7,work:800,nodes:34,pairs:26,completionMax:117us [02m00s] 10649 ab:aaaa=abb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10649 ab:aaaa=abb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10650 solved: rounds:2,rules:2,peak:5,longest:12,steps:3,word:7,work:277,nodes:32,pairs:8,completionMax:56us [02m00s] 10650 ab:aaaa=abb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10650 ab:aaaa=abb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10651 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:1,work:43,nodes:22,pairs:2,completionMax:13us [02m00s] 10651 ab:aaaa=abb,bbbb=1 infinite a/b - - ab:aaaaaaa=a,abb=aaaa,bbbb=1 [02m00s] # 10652 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:5,work:229,nodes:28,pairs:13,completionMax:45us [02m00s] 10652 ab:aaaa=bab,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10652 ab:aaaa=bab,aaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10653 solved: rounds:2,rules:2,peak:3,longest:9,steps:1,word:5,work:39,nodes:18,pairs:6,completionMax:20us [02m00s] 10653 ab:aaaa=bab,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10653 ab:aaaa=bab,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10654 solved: rounds:3,rules:2,peak:10,longest:10,steps:7,word:6,work:2843,nodes:46,pairs:99,completionMax:442us [02m00s] 10654 ab:aaaa=bab,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10654 ab:aaaa=bab,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10655 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:15,nodes:14,pairs:0,completionMax:3us [02m00s] 10655 ab:aaaa=bab,abab=1 infinite;group:a-aaaa,b-aba a/b - - ab:aaaaa=1,bab=aaaa [02m00s] from: 10655 ab:aaaa=bab,abab=1 infinite;group:a-aaaa,b-aba to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=a,b=b [02m00s] # 10656 solved: rounds:3,rules:2,peak:9,longest:16,steps:10,word:9,work:4204,nodes:68,pairs:40,completionMax:263us [02m00s] 10656 ab:aaaa=bab,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10656 ab:aaaa=bab,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10657 solved: rounds:3,rules:2,peak:12,longest:29,steps:8,word:18,work:7246,nodes:92,pairs:70,completionMax:504us [02m00s] 10657 ab:aaaa=bab,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10657 ab:aaaa=bab,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10658 solved: rounds:3,rules:2,peak:9,longest:16,steps:23,word:9,work:4689,nodes:52,pairs:25,completionMax:158us [02m00s] 10658 ab:aaaa=bab,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10658 ab:aaaa=bab,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10659 solved: rounds:3,rules:2,peak:4,longest:11,steps:2,word:6,work:175,nodes:32,pairs:12,completionMax:36us [02m00s] 10659 ab:aaaa=bab,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10659 ab:aaaa=bab,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10660 solved: rounds:6,rules:21,peak:48,longest:14,steps:42,word:12,work:148719,nodes:392,pairs:562,completionMax:7478us [02m00s] 10660 ab:aaaa=bab,bbbb=1 infinite a/d/bc bbb=c,caaacaaacaaac=d frequency:3/1,13/0 abcd:daaaa=a,ad=da,ddaaa=d,abdaaa=ab,aaaaab=baaaaa,db=aabdda,dab=aaabdda,daab=aaaabdda,daaab=bdaaa,ca=abd,cd=abdddaa,ac=aabddaa,dc=aaabddd,bab=aaaa,abbdaaa=abb,abaab=bbaaaaaaaaa,aaaabb=baabddaa,bc=1,cb=1,cc=bb,bbb=c [02m00s] # 10661 solved: rounds:2,rules:2,peak:5,longest:13,steps:4,word:9,work:245,nodes:34,pairs:7,completionMax:38us [02m00s] 10661 ab:aaaa=bbb,aaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [02m00s] from: 10661 ab:aaaa=bbb,aaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [02m00s] # 10662 solved: rounds:5,rules:2,peak:9,longest:20,steps:13,word:18,work:2844,nodes:48,pairs:42,completionMax:176us [02m00s] 10662 ab:aaaa=bbb,aaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [02m00s] from: 10662 ab:aaaa=bbb,aaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [02m00s] # 10663 solved: rounds:2,rules:2,peak:4,longest:16,steps:3,word:10,work:332,nodes:38,pairs:8,completionMax:65us [02m00s] 10663 ab:aaaa=bbb,aabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [02m00s] from: 10663 ab:aaaa=bbb,aabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [02m00s] # 10664 solved: rounds:6,rules:6,peak:19,longest:59,steps:41,word:99,work:280045,nodes:446,pairs:125,completionMax:15077us [02m00s] 10664 ab:aaaa=bbb,abab=1 finite:336;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-aba a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,baab=aaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,abaaab=baaabaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa [02m00s] # 10665 solved: rounds:4,rules:2,peak:7,longest:17,steps:9,word:10,work:1976,nodes:58,pairs:24,completionMax:192us [02m00s] 10665 ab:aaaa=bbb,abba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [02m00s] from: 10665 ab:aaaa=bbb,abba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [02m00s] # 10666 solved: rounds:4,rules:2,peak:5,longest:15,steps:4,word:11,work:302,nodes:30,pairs:13,completionMax:56us [02m00s] 10666 ab:aaaa=bbb,abbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b12;saturation:a:a15=1;cancellative;smith:15;group:a-bbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 10666 ab:aaaa=bbb,abbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b12;saturation:a:a15=1;cancellative;smith:15;group:a-bbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 10667 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:5,work:525,nodes:48,pairs:16,completionMax:84us [02m00s] 10667 ab:aaaa=bbb,baab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [02m00s] from: 10667 ab:aaaa=bbb,baab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [02m00s] # 10668 solved: rounds:6,rules:2,peak:5,longest:15,steps:8,word:11,work:843,nodes:30,pairs:18,completionMax:85us [02m00s] 10668 ab:aaaa=bbb,babb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b12;saturation:a:a15=1;cancellative;smith:15;group:a-bbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [02m00s] from: 10668 ab:aaaa=bbb,babb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b12;saturation:a:a15=1;cancellative;smith:15;group:a-bbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [02m00s] # 10669 solved: rounds:3,rules:2,peak:4,longest:16,steps:2,word:11,work:143,nodes:32,pairs:11,completionMax:45us [02m00s] 10669 ab:aaaa=bbb,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a12;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [02m00s] from: 10669 ab:aaaa=bbb,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a12;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=a,b=aaaaaaaaaaaa [02m00s] # 10670 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:205,nodes:12,pairs:14,completionMax:52us [02m00s] 10670 ab:aaab=aaa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 10670 ab:aaab=aaa,aaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 10671 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:63,nodes:10,pairs:6,completionMax:26us [02m00s] 10671 ab:aaab=aaa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10671 ab:aaab=aaa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10672 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:173,nodes:18,pairs:8,completionMax:45us [02m00s] 10672 ab:aaab=aaa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 10672 ab:aaab=aaa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 10673 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:169,nodes:12,pairs:14,completionMax:44us [02m00s] 10673 ab:aaab=aaa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10673 ab:aaab=aaa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10674 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:207,nodes:16,pairs:10,completionMax:40us [02m00s] 10674 ab:aaab=aaa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10674 ab:aaab=aaa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10675 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:114,nodes:12,pairs:7,completionMax:23us [02m00s] 10675 ab:aaab=aaa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10675 ab:aaab=aaa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10676 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:116,nodes:18,pairs:5,completionMax:22us [02m00s] 10676 ab:aaab=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 10676 ab:aaab=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 10677 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:720,nodes:16,pairs:18,completionMax:59us [02m00s] 10677 ab:aaab=aaa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10677 ab:aaab=aaa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10678 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:302,nodes:16,pairs:9,completionMax:34us [02m00s] 10678 ab:aaab=aaa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10678 ab:aaab=aaa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10679 solved: rounds:6,rules:2,peak:6,longest:5,steps:7,word:0,work:705,nodes:20,pairs:15,completionMax:62us [02m00s] 10679 ab:aaab=aaa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10679 ab:aaab=aaa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10680 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:185,nodes:16,pairs:9,completionMax:40us [02m00s] 10680 ab:aaab=aaa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10680 ab:aaab=aaa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10681 solved: rounds:4,rules:2,peak:10,longest:6,steps:6,word:0,work:1462,nodes:20,pairs:41,completionMax:144us [02m00s] 10681 ab:aaab=aaa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10681 ab:aaab=aaa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10682 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:311,nodes:14,pairs:11,completionMax:43us [02m00s] 10682 ab:aaab=aaa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10682 ab:aaab=aaa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10683 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:12,nodes:14,pairs:0,completionMax:3us [02m00s] 10683 ab:aaab=aaa,bbbb=1 infinite ab - - ab:aaab=aaa,bbbb=1 [02m00s] # 10684 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:34,nodes:10,pairs:6,completionMax:18us [02m00s] 10684 ab:aaab=aab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10684 ab:aaab=aab,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10685 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:16,nodes:10,pairs:3,completionMax:10us [02m00s] 10685 ab:aaab=aab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10685 ab:aaab=aab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10686 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:106,nodes:12,pairs:12,completionMax:34us [02m00s] 10686 ab:aaab=aab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10686 ab:aaab=aab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10687 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:12,pairs:4,completionMax:13us [02m00s] 10687 ab:aaab=aab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10687 ab:aaab=aab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10688 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:95,nodes:16,pairs:9,completionMax:23us [02m00s] 10688 ab:aaab=aab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10688 ab:aaab=aab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10689 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:28,nodes:12,pairs:3,completionMax:10us [02m00s] 10689 ab:aaab=aab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10689 ab:aaab=aab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10690 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:161,nodes:14,pairs:9,completionMax:110us [02m00s] 10690 ab:aaab=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10690 ab:aaab=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10691 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:257,nodes:14,pairs:28,completionMax:63us [02m00s] 10691 ab:aaab=aab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10691 ab:aaab=aab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10692 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:161,nodes:14,pairs:9,completionMax:20us [02m00s] 10692 ab:aaab=aab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10692 ab:aaab=aab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10693 solved: rounds:5,rules:2,peak:5,longest:5,steps:6,word:0,work:363,nodes:18,pairs:10,completionMax:29us [02m00s] 10693 ab:aaab=aab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10693 ab:aaab=aab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10694 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:154,nodes:14,pairs:10,completionMax:18us [02m00s] 10694 ab:aaab=aab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10694 ab:aaab=aab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10695 solved: rounds:5,rules:2,peak:7,longest:5,steps:4,word:0,work:433,nodes:20,pairs:14,completionMax:38us [02m00s] 10695 ab:aaab=aab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10695 ab:aaab=aab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10696 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:187,nodes:14,pairs:10,completionMax:34us [02m00s] 10696 ab:aaab=aab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10696 ab:aaab=aab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10697 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:14,pairs:1,completionMax:6us [02m00s] 10697 ab:aaab=aab,bbbb=1 infinite ab - - ab:aaa=aa,bbbb=1 [02m00s] from: 10697 ab:aaab=aab,bbbb=1 infinite to: 1449 ab:aaa=aa,bbbb=1 infinite a=a,b=b [02m00s] # 10698 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:223,nodes:16,pairs:23,completionMax:35us [02m00s] 10698 ab:aaab=aba,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10698 ab:aaab=aba,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10699 solved: rounds:3,rules:2,peak:5,longest:4,steps:5,word:0,work:190,nodes:14,pairs:18,completionMax:30us [02m00s] 10699 ab:aaab=aba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10699 ab:aaab=aba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10700 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:0,work:179,nodes:14,pairs:11,completionMax:25us [02m00s] 10700 ab:aaab=aba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10700 ab:aaab=aba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10701 solved: rounds:5,rules:3,peak:5,longest:5,steps:4,word:2,work:281,nodes:16,pairs:15,completionMax:56us [02m00s] 10701 ab:aaab=aba,abab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [02m00s] from: 10701 ab:aaab=aba,abab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [02m00s] # 10702 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:648,nodes:20,pairs:36,completionMax:86us [02m00s] 10702 ab:aaab=aba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10702 ab:aaab=aba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10703 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:172,nodes:16,pairs:16,completionMax:42us [02m00s] 10703 ab:aaab=aba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10703 ab:aaab=aba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10704 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:330,nodes:20,pairs:25,completionMax:62us [02m00s] 10704 ab:aaab=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10704 ab:aaab=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10705 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:0,work:1281,nodes:24,pairs:58,completionMax:123us [02m00s] 10705 ab:aaab=aba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10705 ab:aaab=aba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10706 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:2,work:476,nodes:26,pairs:20,completionMax:56us [02m00s] 10706 ab:aaab=aba,baba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [02m00s] from: 10706 ab:aaab=aba,baba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [02m00s] # 10707 solved: rounds:4,rules:2,peak:9,longest:6,steps:8,word:0,work:1115,nodes:28,pairs:30,completionMax:87us [02m00s] 10707 ab:aaab=aba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10707 ab:aaab=aba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10708 solved: rounds:3,rules:2,peak:12,longest:6,steps:3,word:0,work:1308,nodes:38,pairs:104,completionMax:194us [02m00s] 10708 ab:aaab=aba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10708 ab:aaab=aba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10709 solved: rounds:5,rules:2,peak:9,longest:6,steps:4,word:0,work:1386,nodes:28,pairs:43,completionMax:125us [02m00s] 10709 ab:aaab=aba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10709 ab:aaab=aba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10710 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:0,work:250,nodes:22,pairs:17,completionMax:38us [02m00s] 10710 ab:aaab=aba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10710 ab:aaab=aba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10711 solved: rounds:2,rules:5,peak:5,longest:31,steps:45,word:21,work:7921,nodes:90,pairs:4,completionMax:350us [02m00s] 10711 ab:aaab=aba,bbbb=1 infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=aaaaaaaaaaaaaaaa,aba=aaab,aaabba=aaaaaaabb,aaaaaaabbba=aaaaaaaaaaaaaaabbb,bbbb=1 [02m00s] # 10712 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:277,nodes:16,pairs:27,completionMax:52us [02m00s] 10712 ab:aaab=abb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10712 ab:aaab=abb,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10713 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:21,nodes:12,pairs:2,completionMax:8us [02m00s] 10713 ab:aaab=abb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10713 ab:aaab=abb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10714 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:7,work:328,nodes:12,pairs:17,completionMax:37us [02m00s] 10714 ab:aaab=abb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10714 ab:aaab=abb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10715 solved: rounds:4,rules:2,peak:12,longest:9,steps:10,word:3,work:2349,nodes:38,pairs:28,completionMax:145us [02m00s] 10715 ab:aaab=abb,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10715 ab:aaab=abb,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10716 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:2,work:441,nodes:18,pairs:29,completionMax:85us [02m00s] 10716 ab:aaab=abb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10716 ab:aaab=abb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10717 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:26,nodes:14,pairs:2,completionMax:12us [02m00s] 10717 ab:aaab=abb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10717 ab:aaab=abb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10718 solved: rounds:3,rules:2,peak:5,longest:6,steps:1,word:1,work:116,nodes:18,pairs:8,completionMax:44us [02m00s] 10718 ab:aaab=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10718 ab:aaab=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10719 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:7,work:212,nodes:12,pairs:15,completionMax:27us [02m00s] 10719 ab:aaab=abb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10719 ab:aaab=abb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10720 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:1,work:143,nodes:16,pairs:7,completionMax:29us [02m00s] 10720 ab:aaab=abb,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10720 ab:aaab=abb,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10721 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:8,work:249,nodes:14,pairs:15,completionMax:26us [02m00s] 10721 ab:aaab=abb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10721 ab:aaab=abb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10722 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:178,nodes:22,pairs:7,completionMax:36us [02m00s] 10722 ab:aaab=abb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10722 ab:aaab=abb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10723 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:2,work:470,nodes:36,pairs:26,completionMax:98us [02m00s] 10723 ab:aaab=abb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10723 ab:aaab=abb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10724 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:3,work:205,nodes:24,pairs:8,completionMax:33us [02m00s] 10724 ab:aaab=abb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10724 ab:aaab=abb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10725 solved: rounds:1,rules:3,peak:4,longest:9,steps:4,word:3,work:106,nodes:26,pairs:2,completionMax:14us [02m00s] 10725 ab:aaab=abb,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,ab=aaa,bbbb=1 [02m00s] from: 10725 ab:aaab=abb,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa a=a,b=b [02m00s] # 10726 solved: rounds:2,rules:2,peak:6,longest:6,steps:7,word:0,work:393,nodes:22,pairs:28,completionMax:52us [02m00s] 10726 ab:aaab=baa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10726 ab:aaab=baa,aaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10727 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:203,nodes:16,pairs:20,completionMax:48us [02m00s] 10727 ab:aaab=baa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10727 ab:aaab=baa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10728 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:0,work:333,nodes:18,pairs:35,completionMax:71us [02m00s] 10728 ab:aaab=baa,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10728 ab:aaab=baa,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10729 solved: rounds:4,rules:3,peak:11,longest:8,steps:6,word:6,work:2029,nodes:42,pairs:36,completionMax:174us [02m00s] 10729 ab:aaab=baa,abab=1 finite:10;group:a-aaaa,b-b a/b - - ab:aaaaa=1,ab=baaaa,bb=1 [02m00s] # 10730 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:249,nodes:22,pairs:20,completionMax:36us [02m00s] 10730 ab:aaab=baa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10730 ab:aaab=baa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10731 solved: rounds:4,rules:2,peak:17,longest:5,steps:7,word:0,work:2542,nodes:32,pairs:44,completionMax:181us [02m00s] 10731 ab:aaab=baa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10731 ab:aaab=baa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10732 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:385,nodes:26,pairs:30,completionMax:54us [02m00s] 10732 ab:aaab=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10732 ab:aaab=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10733 solved: rounds:2,rules:2,peak:7,longest:4,steps:5,word:0,work:330,nodes:16,pairs:10,completionMax:50us [02m00s] 10733 ab:aaab=baa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10733 ab:aaab=baa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10734 solved: rounds:3,rules:3,peak:11,longest:6,steps:6,word:6,work:1506,nodes:38,pairs:59,completionMax:180us [02m00s] 10734 ab:aaab=baa,baba=1 finite:10;group:a-aaaa,b-b a/b - - ab:aaaaa=1,ab=baaaa,bb=1 [02m00s] from: 10734 ab:aaab=baa,baba=1 finite:10;group:a-aaaa,b-b to: 10729 ab:aaab=baa,abab=1 finite:10;group:a-aaaa,b-b a=a,b=b [02m00s] # 10735 solved: rounds:4,rules:2,peak:10,longest:6,steps:12,word:0,work:2203,nodes:38,pairs:43,completionMax:156us [02m00s] 10735 ab:aaab=baa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10735 ab:aaab=baa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10736 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:107,nodes:14,pairs:11,completionMax:30us [02m00s] 10736 ab:aaab=baa,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10736 ab:aaab=baa,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10737 solved: rounds:4,rules:2,peak:11,longest:6,steps:7,word:0,work:2195,nodes:32,pairs:76,completionMax:196us [02m00s] 10737 ab:aaab=baa,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10737 ab:aaab=baa,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10738 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:205,nodes:18,pairs:18,completionMax:36us [02m00s] 10738 ab:aaab=baa,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10738 ab:aaab=baa,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10739 solved: rounds:6,rules:6,peak:21,longest:105,steps:125,word:98,work:410147,nodes:888,pairs:164,completionMax:28861us [02m00s] 10739 ab:aaab=baa,bbbb=1 infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=aa,aaba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab,baa=aaab,aabba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabb,aabbba=aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbb,bbbb=1 [02m00s] # 10740 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:2,work:559,nodes:22,pairs:17,completionMax:68us [02m00s] 10740 ab:aaab=bab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10740 ab:aaab=bab,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10741 solved: rounds:3,rules:2,peak:7,longest:11,steps:3,word:2,work:955,nodes:42,pairs:26,completionMax:118us [02m00s] 10741 ab:aaab=bab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10741 ab:aaab=bab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10742 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:39,nodes:12,pairs:4,completionMax:17us [02m00s] 10742 ab:aaab=bab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10742 ab:aaab=bab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10743 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:1,work:42,nodes:14,pairs:3,completionMax:16us [02m00s] 10743 ab:aaab=bab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10743 ab:aaab=bab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10744 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:169,nodes:24,pairs:8,completionMax:35us [02m00s] 10744 ab:aaab=bab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10744 ab:aaab=bab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10745 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:248,nodes:28,pairs:7,completionMax:28us [02m00s] 10745 ab:aaab=bab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10745 ab:aaab=bab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10746 solved: rounds:3,rules:2,peak:4,longest:7,steps:1,word:1,work:80,nodes:20,pairs:5,completionMax:20us [02m00s] 10746 ab:aaab=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10746 ab:aaab=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10747 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:2,work:216,nodes:14,pairs:17,completionMax:42us [02m00s] 10747 ab:aaab=bab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10747 ab:aaab=bab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10748 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:2,work:1008,nodes:30,pairs:28,completionMax:102us [02m00s] 10748 ab:aaab=bab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10748 ab:aaab=bab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10749 solved: rounds:3,rules:2,peak:7,longest:12,steps:2,word:2,work:849,nodes:44,pairs:25,completionMax:110us [02m00s] 10749 ab:aaab=bab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10749 ab:aaab=bab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10750 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:30,nodes:14,pairs:4,completionMax:16us [02m00s] 10750 ab:aaab=bab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10750 ab:aaab=bab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10751 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:2,work:233,nodes:16,pairs:17,completionMax:35us [02m00s] 10751 ab:aaab=bab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10751 ab:aaab=bab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10752 solved: rounds:3,rules:2,peak:4,longest:8,steps:3,word:3,work:122,nodes:24,pairs:9,completionMax:28us [02m00s] 10752 ab:aaab=bab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10752 ab:aaab=bab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10753 solved: rounds:2,rules:3,peak:4,longest:10,steps:3,word:3,work:143,nodes:28,pairs:6,completionMax:26us [02m00s] 10753 ab:aaab=bab,bbbb=1 finite:36;idempotents:1,aabbb,aaaabb,aaaaaab,aaaaaaaa a/b - - ab:aaaaaaaaa=a,ba=aaa,bbbb=1 [02m00s] from: 10753 ab:aaab=bab,bbbb=1 finite:36;idempotents:1,aabbb,aaaabb,aaaaaab,aaaaaaaa to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa anti:a=a,b=b [02m00s] # 10754 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:301,nodes:16,pairs:28,completionMax:62us [02m00s] 10754 ab:aaab=bba,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10754 ab:aaab=bba,aaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10755 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:3,work:839,nodes:36,pairs:44,completionMax:118us [02m00s] 10755 ab:aaab=bba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10755 ab:aaab=bba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10756 solved: rounds:4,rules:2,peak:7,longest:23,steps:9,word:22,work:10051,nodes:54,pairs:22,completionMax:236us [02m00s] 10756 ab:aaab=bba,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10756 ab:aaab=bba,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10757 solved: rounds:5,rules:7,peak:30,longest:19,steps:16,word:15,work:44209,nodes:182,pairs:329,completionMax:3244us [02m00s] 10757 ab:aaab=bba,abab=1 finite:54;group:a-bab,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,bbba=abbbbbb,aba=bbbbbbbb,baa=aabbbb,babba=abbabbbbbbb,aaa=bbabbbbbbbb,aabba=babb [02m00s] # 10758 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:1,work:105,nodes:14,pairs:8,completionMax:28us [02m00s] 10758 ab:aaab=bba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10758 ab:aaab=bba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10759 solved: rounds:2,rules:2,peak:11,longest:8,steps:9,word:2,work:1721,nodes:40,pairs:19,completionMax:136us [02m00s] 10759 ab:aaab=bba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10759 ab:aaab=bba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10760 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:3,work:266,nodes:20,pairs:19,completionMax:60us [02m00s] 10760 ab:aaab=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10760 ab:aaab=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10761 solved: rounds:3,rules:2,peak:10,longest:7,steps:8,word:3,work:1181,nodes:36,pairs:28,completionMax:115us [02m00s] 10761 ab:aaab=bba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10761 ab:aaab=bba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10762 solved: rounds:5,rules:7,peak:28,longest:12,steps:11,word:14,work:36416,nodes:118,pairs:290,completionMax:2206us [02m00s] 10762 ab:aaab=bba,baba=1 finite:54;group:a-bab,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,bbba=abbbbbb,aba=bbbbbbbb,baa=aabbbb,babba=abbabbbbbbb,aaa=bbabbbbbbbb,aabba=babb [02m00s] from: 10762 ab:aaab=bba,baba=1 finite:54;group:a-bab,b-bbbbbbbb to: 10757 ab:aaab=bba,abab=1 finite:54;group:a-bab,b-bbbbbbbb a=a,b=b [02m00s] # 10763 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:2,work:441,nodes:26,pairs:22,completionMax:60us [02m00s] 10763 ab:aaab=bba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10763 ab:aaab=bba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10764 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:2,work:729,nodes:22,pairs:38,completionMax:136us [02m00s] 10764 ab:aaab=bba,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10764 ab:aaab=bba,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10765 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:3,work:905,nodes:34,pairs:42,completionMax:109us [02m00s] 10765 ab:aaab=bba,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10765 ab:aaab=bba,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10766 solved: rounds:2,rules:2,peak:5,longest:10,steps:5,word:16,work:600,nodes:20,pairs:16,completionMax:44us [02m00s] 10766 ab:aaab=bba,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10766 ab:aaab=bba,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10767 solved: rounds:5,rules:12,peak:26,longest:18,steps:7,word:11,work:56381,nodes:156,pairs:320,completionMax:2584us [02m00s] 10767 ab:aaab=bba,bbbb=1 finite:148;idempotents:1,baabaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,abaaaaaaaa=ab,bba=aaab,abb=aaaabaaaaaaa,abab=aaaaaabaaaaaa,abaab=aaaaaaa,abaaab=aaabaaa,abaaaab=aabaaaaa,abaaaaab=aaaaaaaba,abaaaaaab=aaaaabaaaa,abaaaaaaab=aaaaaaaabaa,bbbb=1 [02m00s] # 10768 solved: rounds:3,rules:2,peak:9,longest:14,steps:12,word:10,work:4067,nodes:48,pairs:27,completionMax:186us [02m00s] 10768 ab:aaab=bbb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10768 ab:aaab=bbb,aaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10769 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:6,work:76,nodes:20,pairs:6,completionMax:19us [02m00s] 10769 ab:aaab=bbb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10769 ab:aaab=bbb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10770 solved: rounds:3,rules:2,peak:9,longest:9,steps:11,word:10,work:2408,nodes:26,pairs:47,completionMax:180us [02m00s] 10770 ab:aaab=bbb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10770 ab:aaab=bbb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10771 solved: rounds:4,rules:3,peak:26,longest:20,steps:11,word:20,work:47799,nodes:148,pairs:312,completionMax:2490us [02m00s] 10771 ab:aaab=bbb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [02m00s] from: 10771 ab:aaab=bbb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [02m00s] # 10772 solved: rounds:2,rules:2,peak:4,longest:10,steps:4,word:3,work:201,nodes:22,pairs:10,completionMax:38us [02m00s] 10772 ab:aaab=bbb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10772 ab:aaab=bbb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10773 solved: rounds:3,rules:2,peak:5,longest:13,steps:2,word:6,work:379,nodes:34,pairs:14,completionMax:60us [02m00s] 10773 ab:aaab=bbb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10773 ab:aaab=bbb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10774 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:5,work:202,nodes:22,pairs:8,completionMax:35us [02m00s] 10774 ab:aaab=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [02m00s] from: 10774 ab:aaab=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [02m00s] # 10775 solved: rounds:3,rules:2,peak:7,longest:10,steps:6,word:6,work:574,nodes:24,pairs:27,completionMax:81us [02m00s] 10775 ab:aaab=bbb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10775 ab:aaab=bbb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10776 solved: rounds:4,rules:3,peak:6,longest:15,steps:25,word:31,work:1223,nodes:32,pairs:23,completionMax:139us [02m00s] 10776 ab:aaab=bbb,baba=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [02m00s] from: 10776 ab:aaab=bbb,baba=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [02m00s] # 10777 solved: rounds:2,rules:2,peak:7,longest:11,steps:3,word:6,work:826,nodes:32,pairs:34,completionMax:93us [02m00s] 10777 ab:aaab=bbb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10777 ab:aaab=bbb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10778 solved: rounds:2,rules:2,peak:5,longest:10,steps:3,word:6,work:214,nodes:26,pairs:12,completionMax:48us [02m00s] 10778 ab:aaab=bbb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [02m00s] from: 10778 ab:aaab=bbb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [02m00s] # 10779 solved: rounds:2,rules:2,peak:7,longest:24,steps:4,word:18,work:1982,nodes:60,pairs:26,completionMax:178us [02m00s] 10779 ab:aaab=bbb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10779 ab:aaab=bbb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10780 solved: rounds:4,rules:2,peak:10,longest:18,steps:19,word:18,work:11688,nodes:56,pairs:87,completionMax:399us [02m00s] 10780 ab:aaab=bbb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [02m00s] from: 10780 ab:aaab=bbb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [02m00s] # 10781 solved: rounds:2,rules:3,peak:3,longest:4,steps:4,word:0,work:69,nodes:14,pairs:5,completionMax:15us [02m00s] 10781 ab:aaab=bbb,bbbb=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [02m00s] from: 10781 ab:aaab=bbb,bbbb=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [02m00s] # 10782 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:4,completionMax:17us [02m00s] 10782 ab:aaba=aaa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10782 ab:aaba=aaa,aabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10783 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:167,nodes:16,pairs:13,completionMax:34us [02m00s] 10783 ab:aaba=aaa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 10783 ab:aaba=aaa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 10784 solved: rounds:4,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:14,pairs:11,completionMax:48us [02m00s] 10784 ab:aaba=aaa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10784 ab:aaba=aaa,abab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10785 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:182,nodes:16,pairs:11,completionMax:32us [02m00s] 10785 ab:aaba=aaa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10785 ab:aaba=aaa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10786 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:64,nodes:12,pairs:5,completionMax:19us [02m00s] 10786 ab:aaba=aaa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10786 ab:aaba=aaa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10787 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:115,nodes:18,pairs:5,completionMax:33us [02m00s] 10787 ab:aaba=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [02m00s] from: 10787 ab:aaba=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [02m00s] # 10788 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:207,nodes:14,pairs:16,completionMax:46us [02m00s] 10788 ab:aaba=aaa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10788 ab:aaba=aaa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10789 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:229,nodes:18,pairs:10,completionMax:27us [02m00s] 10789 ab:aaba=aaa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10789 ab:aaba=aaa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10790 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:966,nodes:20,pairs:14,completionMax:95us [02m00s] 10790 ab:aaba=aaa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10790 ab:aaba=aaa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10791 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:14,pairs:4,completionMax:13us [02m00s] 10791 ab:aaba=aaa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [02m00s] from: 10791 ab:aaba=aaa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [02m00s] # 10792 solved: rounds:4,rules:2,peak:9,longest:6,steps:8,word:0,work:1164,nodes:26,pairs:41,completionMax:115us [02m00s] 10792 ab:aaba=aaa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10792 ab:aaba=aaa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10793 solved: rounds:4,rules:2,peak:3,longest:4,steps:2,word:0,work:53,nodes:16,pairs:4,completionMax:15us [02m00s] 10793 ab:aaba=aaa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10793 ab:aaba=aaa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10794 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:3us [02m00s] 10794 ab:aaba=aaa,bbbb=1 infinite ab - - ab:aaba=aaa,bbbb=1 [02m00s] # 10795 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:44,nodes:8,pairs:4,completionMax:14us [02m00s] 10795 ab:aaba=aab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10795 ab:aaba=aab,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10796 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:172,nodes:14,pairs:27,completionMax:56us [02m00s] 10796 ab:aaba=aab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10796 ab:aaba=aab,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10797 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:144,nodes:16,pairs:12,completionMax:36us [02m00s] 10797 ab:aaba=aab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10797 ab:aaba=aab,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10798 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:278,nodes:16,pairs:23,completionMax:49us [02m00s] 10798 ab:aaba=aab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10798 ab:aaba=aab,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10799 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:126,nodes:14,pairs:8,completionMax:25us [02m00s] 10799 ab:aaba=aab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10799 ab:aaba=aab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10800 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:249,nodes:14,pairs:11,completionMax:31us [02m00s] 10800 ab:aaba=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10800 ab:aaba=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10801 solved: rounds:1,rules:2,peak:4,longest:4,steps:4,word:0,work:63,nodes:14,pairs:4,completionMax:13us [02m00s] 10801 ab:aaba=aab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10801 ab:aaba=aab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10802 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:373,nodes:18,pairs:20,completionMax:63us [02m00s] 10802 ab:aaba=aab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10802 ab:aaba=aab,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10803 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:0,work:624,nodes:18,pairs:44,completionMax:110us [02m00s] 10803 ab:aaba=aab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10803 ab:aaba=aab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10804 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:14,pairs:5,completionMax:13us [02m00s] 10804 ab:aaba=aab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10804 ab:aaba=aab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10805 solved: rounds:5,rules:2,peak:8,longest:6,steps:6,word:0,work:738,nodes:24,pairs:17,completionMax:73us [02m00s] 10805 ab:aaba=aab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10805 ab:aaba=aab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10806 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:243,nodes:20,pairs:18,completionMax:45us [02m00s] 10806 ab:aaba=aab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10806 ab:aaba=aab,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10807 solved: rounds:2,rules:5,peak:5,longest:6,steps:3,word:0,work:376,nodes:18,pairs:4,completionMax:21us [02m00s] 10807 ab:aaba=aab,bbbb=1 infinite ab - - ab:aaa=aa,aaba=aab,bbbb=1,aabba=aabb,aabbba=aabbb [02m00s] # 10808 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:4,completionMax:18us [02m00s] 10808 ab:aaba=aba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10808 ab:aaba=aba,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10809 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:84,nodes:14,pairs:9,completionMax:19us [02m00s] 10809 ab:aaba=aba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10809 ab:aaba=aba,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10810 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:4,completionMax:13us [02m00s] 10810 ab:aaba=aba,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10810 ab:aaba=aba,abab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10811 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:215,nodes:16,pairs:14,completionMax:35us [02m00s] 10811 ab:aaba=aba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10811 ab:aaba=aba,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10812 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:12,pairs:3,completionMax:12us [02m00s] 10812 ab:aaba=aba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10812 ab:aaba=aba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10813 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:205,nodes:18,pairs:8,completionMax:25us [02m00s] 10813 ab:aaba=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10813 ab:aaba=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10814 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:185,nodes:16,pairs:8,completionMax:38us [02m00s] 10814 ab:aaba=aba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10814 ab:aaba=aba,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10815 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:127,nodes:16,pairs:9,completionMax:29us [02m00s] 10815 ab:aaba=aba,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10815 ab:aaba=aba,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10816 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:248,nodes:16,pairs:15,completionMax:51us [02m00s] 10816 ab:aaba=aba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10816 ab:aaba=aba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10817 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:238,nodes:18,pairs:11,completionMax:40us [02m00s] 10817 ab:aaba=aba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10817 ab:aaba=aba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10818 solved: rounds:5,rules:2,peak:7,longest:6,steps:5,word:0,work:555,nodes:24,pairs:16,completionMax:64us [02m00s] 10818 ab:aaba=aba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10818 ab:aaba=aba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10819 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:107,nodes:16,pairs:10,completionMax:22us [02m00s] 10819 ab:aaba=aba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10819 ab:aaba=aba,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10820 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:4us [02m00s] 10820 ab:aaba=aba,bbbb=1 infinite ab - - ab:aaba=aba,bbbb=1 [02m00s] # 10821 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:2,work:873,nodes:24,pairs:27,completionMax:80us [02m00s] 10821 ab:aaba=abb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10821 ab:aaba=abb,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10822 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:7,work:640,nodes:30,pairs:16,completionMax:85us [02m00s] 10822 ab:aaba=abb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10822 ab:aaba=abb,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10823 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:158,nodes:22,pairs:5,completionMax:25us [02m00s] 10823 ab:aaba=abb,abab=1 infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [02m00s] from: 10823 ab:aaba=abb,abab=1 infinite;group:a-bab,b-bb to: 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb a=a,b=b [02m00s] # 10824 solved: rounds:3,rules:2,peak:7,longest:10,steps:7,word:2,work:1013,nodes:32,pairs:17,completionMax:78us [02m00s] 10824 ab:aaba=abb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10824 ab:aaba=abb,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10825 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:2,work:818,nodes:30,pairs:36,completionMax:139us [02m00s] 10825 ab:aaba=abb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10825 ab:aaba=abb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10826 solved: rounds:3,rules:2,peak:5,longest:6,steps:1,word:1,work:113,nodes:18,pairs:8,completionMax:41us [02m00s] 10826 ab:aaba=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10826 ab:aaba=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10827 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:3,work:326,nodes:20,pairs:18,completionMax:46us [02m00s] 10827 ab:aaba=abb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10827 ab:aaba=abb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10828 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:163,nodes:20,pairs:14,completionMax:35us [02m00s] 10828 ab:aaba=abb,baba=1 infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [02m00s] from: 10828 ab:aaba=abb,baba=1 infinite;group:a-bab,b-bb to: 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb a=a,b=b [02m00s] # 10829 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:2,work:235,nodes:16,pairs:14,completionMax:41us [02m00s] 10829 ab:aaba=abb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10829 ab:aaba=abb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10830 solved: rounds:3,rules:2,peak:8,longest:7,steps:14,word:2,work:959,nodes:28,pairs:31,completionMax:83us [02m00s] 10830 ab:aaba=abb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10830 ab:aaba=abb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10831 solved: rounds:3,rules:2,peak:10,longest:8,steps:8,word:2,work:2439,nodes:44,pairs:41,completionMax:183us [02m00s] 10831 ab:aaba=abb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10831 ab:aaba=abb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10832 solved: rounds:3,rules:2,peak:8,longest:8,steps:7,word:1,work:1769,nodes:36,pairs:24,completionMax:92us [02m00s] 10832 ab:aaba=abb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10832 ab:aaba=abb,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10833 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:1,work:43,nodes:22,pairs:2,completionMax:7us [02m00s] 10833 ab:aaba=abb,bbbb=1 infinite a/b - - ab:abb=aaba,aabaaba=a,bbbb=1 [02m00s] # 10834 solved: rounds:5,rules:2,peak:8,longest:5,steps:6,word:0,work:758,nodes:18,pairs:25,completionMax:67us [02m00s] 10834 ab:aaba=baa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10834 ab:aaba=baa,aabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10835 solved: rounds:2,rules:2,peak:8,longest:4,steps:5,word:0,work:437,nodes:16,pairs:11,completionMax:50us [02m00s] 10835 ab:aaba=baa,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10835 ab:aaba=baa,abaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10836 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:1,work:583,nodes:22,pairs:21,completionMax:80us [02m00s] 10836 ab:aaba=baa,abab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [02m00s] from: 10836 ab:aaba=baa,abab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [02m00s] # 10837 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:431,nodes:22,pairs:29,completionMax:51us [02m00s] 10837 ab:aaba=baa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10837 ab:aaba=baa,abba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10838 solved: rounds:4,rules:2,peak:6,longest:4,steps:5,word:0,work:333,nodes:18,pairs:22,completionMax:51us [02m00s] 10838 ab:aaba=baa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10838 ab:aaba=baa,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10839 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:195,nodes:18,pairs:20,completionMax:36us [02m00s] 10839 ab:aaba=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [02m00s] from: 10839 ab:aaba=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [02m00s] # 10840 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:372,nodes:16,pairs:27,completionMax:59us [02m00s] 10840 ab:aaba=baa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10840 ab:aaba=baa,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10841 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:2,work:343,nodes:22,pairs:12,completionMax:46us [02m00s] 10841 ab:aaba=baa,baba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [02m00s] from: 10841 ab:aaba=baa,baba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [02m00s] # 10842 solved: rounds:3,rules:2,peak:13,longest:6,steps:5,word:0,work:1601,nodes:30,pairs:47,completionMax:139us [02m00s] 10842 ab:aaba=baa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10842 ab:aaba=baa,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10843 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:99,nodes:14,pairs:8,completionMax:24us [02m00s] 10843 ab:aaba=baa,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [02m00s] from: 10843 ab:aaba=baa,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [02m00s] # 10844 solved: rounds:4,rules:2,peak:8,longest:5,steps:5,word:0,work:946,nodes:22,pairs:42,completionMax:89us [02m00s] 10844 ab:aaba=baa,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10844 ab:aaba=baa,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10845 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:436,nodes:20,pairs:23,completionMax:66us [02m00s] 10845 ab:aaba=baa,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [02m00s] from: 10845 ab:aaba=baa,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [02m00s] # 10846 solved: rounds:2,rules:4,peak:4,longest:18,steps:18,word:14,work:686,nodes:58,pairs:2,completionMax:50us [02m00s] 10846 ab:aaba=baa,bbbb=1 infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,baa=aaba,bbbb=1,aababababa=aa [02m00s] # 10847 solved: rounds:3,rules:2,peak:14,longest:11,steps:22,word:14,work:17129,nodes:70,pairs:142,completionMax:829us [02m00s] 10847 ab:aaba=bab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10847 ab:aaba=bab,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10848 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:167,nodes:24,pairs:7,completionMax:26us [02m00s] 10848 ab:aaba=bab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10848 ab:aaba=bab,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10849 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:160,nodes:22,pairs:7,completionMax:34us [02m00s] 10849 ab:aaba=bab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10849 ab:aaba=bab,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10850 solved: rounds:3,rules:2,peak:14,longest:7,steps:10,word:3,work:2594,nodes:44,pairs:49,completionMax:268us [02m00s] 10850 ab:aaba=bab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10850 ab:aaba=bab,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10851 solved: rounds:3,rules:2,peak:15,longest:11,steps:21,word:4,work:6019,nodes:70,pairs:188,completionMax:645us [02m00s] 10851 ab:aaba=bab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10851 ab:aaba=bab,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10852 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:1,work:164,nodes:20,pairs:9,completionMax:39us [02m00s] 10852 ab:aaba=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [02m00s] from: 10852 ab:aaba=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [02m00s] # 10853 solved: rounds:3,rules:2,peak:6,longest:7,steps:6,word:1,work:241,nodes:18,pairs:19,completionMax:39us [02m00s] 10853 ab:aaba=bab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10853 ab:aaba=bab,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10854 solved: rounds:4,rules:2,peak:7,longest:6,steps:4,word:2,work:799,nodes:26,pairs:18,completionMax:72us [02m00s] 10854 ab:aaba=bab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10854 ab:aaba=bab,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10855 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:130,nodes:22,pairs:6,completionMax:24us [02m00s] 10855 ab:aaba=bab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10855 ab:aaba=bab,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10856 solved: rounds:3,rules:2,peak:15,longest:12,steps:8,word:8,work:15785,nodes:68,pairs:168,completionMax:1151us [02m00s] 10856 ab:aaba=bab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [02m00s] from: 10856 ab:aaba=bab,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [02m00s] # 10857 solved: rounds:2,rules:2,peak:5,longest:10,steps:11,word:2,work:417,nodes:30,pairs:8,completionMax:42us [02m00s] 10857 ab:aaba=bab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10857 ab:aaba=bab,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [02m00s] # 10858 solved: rounds:4,rules:2,peak:12,longest:10,steps:16,word:3,work:10535,nodes:58,pairs:73,completionMax:566us [02m00s] 10858 ab:aaba=bab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [02m00s] from: 10858 ab:aaba=bab,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10859 solved: rounds:0,rules:112169,peak:2361965,longest:72,steps:0,word:0,work:0,nodes:4723928,pairs:0,completionMax:0us [09m33s] 10859 ab:aaba=bab,bbbb=1 finite:2361964;idempotents:1,aaaaaaaa;center:1,aaaaaaaa reversed:a/b - - 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[09m33s] # 10860 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:1,work:284,nodes:24,pairs:19,completionMax:67us [09m33s] 10860 ab:aaba=bba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10860 ab:aaba=bba,aabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10861 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:7,work:422,nodes:12,pairs:16,completionMax:54us [09m33s] 10861 ab:aaba=bba,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 10861 ab:aaba=bba,abaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 10862 solved: rounds:3,rules:2,peak:11,longest:9,steps:4,word:2,work:2147,nodes:38,pairs:60,completionMax:492us [09m33s] 10862 ab:aaba=bba,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10862 ab:aaba=bba,abab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10863 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:2,work:475,nodes:18,pairs:29,completionMax:133us [09m33s] 10863 ab:aaba=bba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10863 ab:aaba=bba,abba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10864 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:281,nodes:18,pairs:11,completionMax:53us [09m33s] 10864 ab:aaba=bba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10864 ab:aaba=bba,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10865 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:13,nodes:10,pairs:2,completionMax:12us [09m33s] 10865 ab:aaba=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 10865 ab:aaba=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 10866 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:177,nodes:26,pairs:5,completionMax:37us [09m33s] 10866 ab:aaba=bba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10866 ab:aaba=bba,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10867 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:24,nodes:12,pairs:3,completionMax:12us [09m33s] 10867 ab:aaba=bba,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10867 ab:aaba=bba,baba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10868 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:3,work:145,nodes:24,pairs:7,completionMax:30us [09m33s] 10868 ab:aaba=bba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10868 ab:aaba=bba,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10869 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:2,work:917,nodes:32,pairs:15,completionMax:80us [09m33s] 10869 ab:aaba=bba,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 10869 ab:aaba=bba,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 10870 solved: rounds:3,rules:2,peak:8,longest:10,steps:4,word:2,work:1352,nodes:38,pairs:52,completionMax:176us [09m33s] 10870 ab:aaba=bba,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10870 ab:aaba=bba,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10871 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:1,work:34,nodes:14,pairs:4,completionMax:17us [09m33s] 10871 ab:aaba=bba,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10871 ab:aaba=bba,bbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10872 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:48,nodes:18,pairs:1,completionMax:12us [09m33s] 10872 ab:aaba=bba,bbbb=1 infinite ab - - ab:aaba=bba,bbbb=1,aabbba=a [09m33s] # 10873 solved: rounds:3,rules:2,peak:8,longest:10,steps:11,word:9,work:4537,nodes:32,pairs:63,completionMax:520us [09m33s] 10873 ab:aaba=bbb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10873 ab:aaba=bbb,aabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10874 solved: rounds:3,rules:2,peak:6,longest:9,steps:8,word:10,work:673,nodes:18,pairs:23,completionMax:83us [09m33s] 10874 ab:aaba=bbb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 10874 ab:aaba=bbb,abaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 10875 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:6,work:109,nodes:20,pairs:8,completionMax:28us [09m33s] 10875 ab:aaba=bbb,abab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10875 ab:aaba=bbb,abab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10876 solved: rounds:2,rules:2,peak:9,longest:14,steps:8,word:6,work:1423,nodes:38,pairs:19,completionMax:144us [09m33s] 10876 ab:aaba=bbb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10876 ab:aaba=bbb,abba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10877 solved: rounds:5,rules:2,peak:7,longest:11,steps:6,word:6,work:1366,nodes:24,pairs:44,completionMax:190us [09m33s] 10877 ab:aaba=bbb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [09m33s] from: 10877 ab:aaba=bbb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [09m33s] # 10878 solved: rounds:2,rules:2,peak:5,longest:9,steps:5,word:10,work:479,nodes:28,pairs:14,completionMax:59us [09m33s] 10878 ab:aaba=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 10878 ab:aaba=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 10879 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:6,work:123,nodes:20,pairs:9,completionMax:33us [09m33s] 10879 ab:aaba=bbb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10879 ab:aaba=bbb,baab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10880 solved: rounds:3,rules:2,peak:8,longest:13,steps:2,word:3,work:1906,nodes:40,pairs:42,completionMax:203us [09m33s] 10880 ab:aaba=bbb,baba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10880 ab:aaba=bbb,baba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10881 solved: rounds:4,rules:2,peak:10,longest:11,steps:10,word:6,work:2890,nodes:44,pairs:61,completionMax:315us [09m33s] 10881 ab:aaba=bbb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [09m33s] from: 10881 ab:aaba=bbb,babb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [09m33s] # 10882 solved: rounds:3,rules:2,peak:6,longest:12,steps:2,word:6,work:607,nodes:38,pairs:27,completionMax:89us [09m33s] 10882 ab:aaba=bbb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 10882 ab:aaba=bbb,bbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 10883 solved: rounds:4,rules:2,peak:9,longest:14,steps:11,word:12,work:2435,nodes:38,pairs:42,completionMax:241us [09m33s] 10883 ab:aaba=bbb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [09m33s] from: 10883 ab:aaba=bbb,bbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [09m33s] # 10884 solved: rounds:5,rules:2,peak:5,longest:11,steps:7,word:6,work:585,nodes:22,pairs:19,completionMax:68us [09m33s] 10884 ab:aaba=bbb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [09m33s] from: 10884 ab:aaba=bbb,bbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [09m33s] # 10885 solved: rounds:4,rules:3,peak:9,longest:6,steps:6,word:0,work:1008,nodes:24,pairs:31,completionMax:99us [09m33s] 10885 ab:aaba=bbb,bbbb=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [09m33s] from: 10885 ab:aaba=bbb,bbbb=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bb,b=bbb [09m33s] # 10886 solved: rounds:3,rules:2,peak:5,longest:7,steps:4,word:3,work:249,nodes:18,pairs:10,completionMax:32us [09m33s] 10886 ab:aabb=aaa,abaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 10886 ab:aabb=aaa,abaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 10887 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [09m33s] 10887 ab:aabb=aaa,abab=1 infinite ab - - ab:aabb=aaa,abab=1 [09m33s] # 10888 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:1,work:311,nodes:24,pairs:14,completionMax:36us [09m33s] 10888 ab:aabb=aaa,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10888 ab:aabb=aaa,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10889 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:2,work:31,nodes:14,pairs:6,completionMax:12us [09m33s] 10889 ab:aabb=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10889 ab:aabb=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10890 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:204,nodes:24,pairs:13,completionMax:34us [09m33s] 10890 ab:aabb=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 10890 ab:aabb=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 10891 solved: rounds:3,rules:2,peak:7,longest:11,steps:6,word:4,work:968,nodes:32,pairs:29,completionMax:119us [09m33s] 10891 ab:aabb=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10891 ab:aabb=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10892 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:2,work:893,nodes:40,pairs:25,completionMax:104us [09m33s] 10892 ab:aabb=aaa,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10892 ab:aabb=aaa,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10893 solved: rounds:5,rules:2,peak:7,longest:8,steps:14,word:4,work:1314,nodes:26,pairs:26,completionMax:126us [09m33s] 10893 ab:aabb=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10893 ab:aabb=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10894 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:294,nodes:26,pairs:9,completionMax:44us [09m33s] 10894 ab:aabb=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10894 ab:aabb=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10895 solved: rounds:5,rules:2,peak:6,longest:7,steps:11,word:4,work:862,nodes:30,pairs:28,completionMax:109us [09m33s] 10895 ab:aabb=aaa,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10895 ab:aabb=aaa,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10896 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:387,nodes:24,pairs:13,completionMax:55us [09m33s] 10896 ab:aabb=aaa,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10896 ab:aabb=aaa,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10897 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:16,pairs:2,completionMax:10us [09m33s] 10897 ab:aabb=aaa,bbbb=1 infinite ab - - ab:aaaa=aa,aabb=aaa,bbbb=1 [09m33s] # 10898 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:149,nodes:16,pairs:13,completionMax:28us [09m33s] 10898 ab:aabb=aab,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10898 ab:aabb=aab,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10899 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [09m33s] 10899 ab:aabb=aab,abab=1 infinite ab - - ab:aabb=aab,abab=1 [09m33s] # 10900 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:194,nodes:16,pairs:13,completionMax:33us [09m33s] 10900 ab:aabb=aab,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10900 ab:aabb=aab,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10901 solved: rounds:4,rules:2,peak:3,longest:4,steps:2,word:0,work:19,nodes:12,pairs:6,completionMax:13us [09m33s] 10901 ab:aabb=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10901 ab:aabb=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10902 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:127,nodes:16,pairs:8,completionMax:44us [09m33s] 10902 ab:aabb=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10902 ab:aabb=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10903 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:14,pairs:5,completionMax:12us [09m33s] 10903 ab:aabb=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10903 ab:aabb=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10904 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:196,nodes:16,pairs:11,completionMax:46us [09m33s] 10904 ab:aabb=aab,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10904 ab:aabb=aab,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10905 solved: rounds:3,rules:2,peak:6,longest:4,steps:7,word:0,work:208,nodes:14,pairs:21,completionMax:35us [09m33s] 10905 ab:aabb=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10905 ab:aabb=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10906 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:186,nodes:16,pairs:15,completionMax:42us [09m33s] 10906 ab:aabb=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10906 ab:aabb=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10907 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:490,nodes:16,pairs:27,completionMax:69us [09m33s] 10907 ab:aabb=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10907 ab:aabb=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10908 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:305,nodes:16,pairs:19,completionMax:45us [09m33s] 10908 ab:aabb=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10908 ab:aabb=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10909 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:35,nodes:14,pairs:1,completionMax:7us [09m33s] 10909 ab:aabb=aab,bbbb=1 infinite ab - - ab:aab=aa,bbbb=1 [09m33s] from: 10909 ab:aabb=aab,bbbb=1 infinite to: 1491 ab:aab=aa,bbbb=1 infinite a=a,b=b [09m33s] # 10910 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:328,nodes:18,pairs:22,completionMax:49us [09m33s] 10910 ab:aabb=aba,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10910 ab:aabb=aba,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10911 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [09m33s] 10911 ab:aabb=aba,abab=1 infinite ab - - ab:aabb=aba,abab=1 [09m33s] # 10912 solved: rounds:2,rules:2,peak:8,longest:4,steps:2,word:0,work:231,nodes:18,pairs:14,completionMax:39us [09m33s] 10912 ab:aabb=aba,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10912 ab:aabb=aba,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10913 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:179,nodes:14,pairs:9,completionMax:19us [09m33s] 10913 ab:aabb=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10913 ab:aabb=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10914 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:93,nodes:16,pairs:14,completionMax:31us [09m33s] 10914 ab:aabb=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10914 ab:aabb=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10915 solved: rounds:3,rules:2,peak:12,longest:6,steps:4,word:0,work:843,nodes:24,pairs:53,completionMax:95us [09m33s] 10915 ab:aabb=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10915 ab:aabb=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10916 solved: rounds:3,rules:3,peak:10,longest:7,steps:8,word:3,work:1085,nodes:38,pairs:25,completionMax:108us [09m33s] 10916 ab:aabb=aba,baba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 10916 ab:aabb=aba,baba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 10917 solved: rounds:3,rules:2,peak:9,longest:4,steps:8,word:0,work:489,nodes:18,pairs:48,completionMax:107us [09m33s] 10917 ab:aabb=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10917 ab:aabb=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10918 solved: rounds:3,rules:2,peak:14,longest:6,steps:5,word:0,work:1305,nodes:32,pairs:36,completionMax:154us [09m33s] 10918 ab:aabb=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10918 ab:aabb=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10919 solved: rounds:3,rules:2,peak:14,longest:6,steps:4,word:0,work:2587,nodes:30,pairs:116,completionMax:228us [09m33s] 10919 ab:aabb=aba,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10919 ab:aabb=aba,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10920 solved: rounds:3,rules:2,peak:14,longest:5,steps:6,word:0,work:2251,nodes:24,pairs:27,completionMax:141us [09m33s] 10920 ab:aabb=aba,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10920 ab:aabb=aba,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10921 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:13,nodes:20,pairs:2,completionMax:7us [09m33s] 10921 ab:aabb=aba,bbbb=1 infinite ab - - ab:aabb=aba,bbbb=1,ababb=aa [09m33s] # 10922 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:12,pairs:2,completionMax:8us [09m33s] 10922 ab:aabb=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10922 ab:aabb=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10923 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:282,nodes:18,pairs:18,completionMax:42us [09m33s] 10923 ab:aabb=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10923 ab:aabb=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10924 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:14,pairs:2,completionMax:6us [09m33s] 10924 ab:aabb=abb,bbbb=1 infinite ab - - ab:aa=a,bbbb=1 [09m33s] from: 10924 ab:aabb=abb,bbbb=1 infinite to: 208 ab:aa=a,bbbb=1 infinite a=a,b=b [09m33s] # 10925 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:133,nodes:16,pairs:15,completionMax:24us [09m33s] 10925 ab:aabb=baa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10925 ab:aabb=baa,abaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10926 solved: rounds:0,rules:2,peak:2,longest:4,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [09m33s] 10926 ab:aabb=baa,abab=1 infinite ab - - ab:aabb=baa,abab=1 [09m33s] # 10927 solved: rounds:2,rules:2,peak:8,longest:4,steps:4,word:0,work:268,nodes:20,pairs:20,completionMax:48us [09m33s] 10927 ab:aabb=baa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10927 ab:aabb=baa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10928 solved: rounds:3,rules:2,peak:9,longest:4,steps:5,word:0,work:911,nodes:18,pairs:40,completionMax:73us [09m33s] 10928 ab:aabb=baa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10928 ab:aabb=baa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10929 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:212,nodes:20,pairs:22,completionMax:34us [09m33s] 10929 ab:aabb=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10929 ab:aabb=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10930 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:134,nodes:14,pairs:7,completionMax:18us [09m33s] 10930 ab:aabb=baa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10930 ab:aabb=baa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10931 solved: rounds:3,rules:2,peak:25,longest:8,steps:9,word:0,work:6325,nodes:60,pairs:79,completionMax:384us [09m33s] 10931 ab:aabb=baa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10931 ab:aabb=baa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10932 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:1241,nodes:28,pairs:31,completionMax:121us [09m33s] 10932 ab:aabb=baa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10932 ab:aabb=baa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10933 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:443,nodes:28,pairs:25,completionMax:92us [09m33s] 10933 ab:aabb=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10933 ab:aabb=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10934 solved: rounds:3,rules:2,peak:18,longest:6,steps:7,word:0,work:2442,nodes:32,pairs:158,completionMax:333us [09m33s] 10934 ab:aabb=baa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10934 ab:aabb=baa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10935 solved: rounds:3,rules:2,peak:11,longest:5,steps:7,word:0,work:916,nodes:26,pairs:25,completionMax:106us [09m33s] 10935 ab:aabb=baa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10935 ab:aabb=baa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10936 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:1,work:26,nodes:10,pairs:0,completionMax:4us [09m33s] 10936 ab:aabb=baa,bbbb=1 infinite b/a - - ab:bbbb=1,baa=aabb [09m33s] # 10937 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:224,nodes:20,pairs:18,completionMax:51us [09m33s] 10937 ab:aabb=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10937 ab:aabb=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10938 solved: rounds:3,rules:2,peak:7,longest:4,steps:5,word:0,work:405,nodes:18,pairs:19,completionMax:60us [09m33s] 10938 ab:aabb=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10938 ab:aabb=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10939 solved: rounds:4,rules:3,peak:8,longest:18,steps:24,word:10,work:3464,nodes:72,pairs:29,completionMax:217us [09m33s] 10939 ab:aabb=bab,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=baaaaaaaa,bbbb=1 [09m33s] from: 10939 ab:aabb=bab,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa to: 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=a,b=b [09m33s] # 10940 solved: rounds:3,rules:2,peak:8,longest:4,steps:5,word:0,work:651,nodes:20,pairs:33,completionMax:93us [09m33s] 10940 ab:aabb=bba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10940 ab:aabb=bba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10941 solved: rounds:2,rules:2,peak:6,longest:5,steps:7,word:0,work:434,nodes:22,pairs:15,completionMax:48us [09m33s] 10941 ab:aabb=bba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10941 ab:aabb=bba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10942 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:1,work:170,nodes:22,pairs:8,completionMax:34us [09m33s] 10942 ab:aabb=bba,bbbb=1 infinite a/b - - ab:aaaa=a,abb=bbaa,bbbb=1 [09m33s] # 10943 solved: rounds:2,rules:2,peak:3,longest:7,steps:3,word:2,work:114,nodes:14,pairs:6,completionMax:22us [09m33s] 10943 ab:aabb=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10943 ab:aabb=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10944 solved: rounds:3,rules:2,peak:10,longest:10,steps:3,word:3,work:2008,nodes:40,pairs:43,completionMax:209us [09m33s] 10944 ab:aabb=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 10944 ab:aabb=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 10945 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:2,work:123,nodes:16,pairs:6,completionMax:25us [09m33s] 10945 ab:aabb=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 10945 ab:aabb=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 10946 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:109,nodes:18,pairs:8,completionMax:32us [09m33s] 10946 ab:abaa=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10946 ab:abaa=aaa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10947 solved: rounds:2,rules:2,peak:9,longest:4,steps:3,word:0,work:266,nodes:18,pairs:12,completionMax:60us [09m33s] 10947 ab:abaa=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10947 ab:abaa=aab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10948 solved: rounds:4,rules:2,peak:4,longest:4,steps:2,word:0,work:111,nodes:14,pairs:11,completionMax:39us [09m33s] 10948 ab:abaa=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10948 ab:abaa=aba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10949 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:106,nodes:18,pairs:6,completionMax:35us [09m33s] 10949 ab:abaa=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 10949 ab:abaa=abb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 10950 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:95,nodes:14,pairs:7,completionMax:15us [09m33s] 10950 ab:abaa=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10950 ab:abaa=baa,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10951 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:6,work:139,nodes:12,pairs:9,completionMax:33us [09m33s] 10951 ab:abaa=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 10951 ab:abaa=bab,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 10952 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:11,nodes:10,pairs:2,completionMax:11us [09m33s] 10952 ab:abaa=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 10952 ab:abaa=bba,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 10953 solved: rounds:2,rules:2,peak:5,longest:9,steps:5,word:10,work:444,nodes:30,pairs:14,completionMax:42us [09m33s] 10953 ab:abaa=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 10953 ab:abaa=bbb,baaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 10954 solved: rounds:3,rules:2,peak:6,longest:6,steps:7,word:2,work:754,nodes:20,pairs:28,completionMax:91us [09m33s] 10954 ab:abab=aaa,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10954 ab:abab=aaa,abba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10955 solved: rounds:4,rules:2,peak:7,longest:8,steps:4,word:4,work:586,nodes:24,pairs:20,completionMax:56us [09m33s] 10955 ab:abab=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10955 ab:abab=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10956 solved: rounds:3,rules:2,peak:8,longest:8,steps:2,word:3,work:482,nodes:24,pairs:18,completionMax:58us [09m33s] 10956 ab:abab=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 10956 ab:abab=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 10957 solved: rounds:3,rules:2,peak:11,longest:8,steps:5,word:2,work:3039,nodes:42,pairs:87,completionMax:334us [09m33s] 10957 ab:abab=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10957 ab:abab=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10958 solved: rounds:2,rules:2,peak:5,longest:4,steps:1,word:0,work:112,nodes:20,pairs:9,completionMax:30us [09m33s] 10958 ab:abab=aaa,baba=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 10958 ab:abab=aaa,baba=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 10959 solved: rounds:3,rules:2,peak:9,longest:6,steps:10,word:4,work:797,nodes:24,pairs:22,completionMax:94us [09m33s] 10959 ab:abab=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10959 ab:abab=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10960 solved: rounds:3,rules:2,peak:13,longest:10,steps:9,word:2,work:5567,nodes:52,pairs:132,completionMax:1496us [09m33s] 10960 ab:abab=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 10960 ab:abab=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 10961 solved: rounds:4,rules:2,peak:10,longest:7,steps:5,word:4,work:1518,nodes:32,pairs:55,completionMax:172us [09m33s] 10961 ab:abab=aaa,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10961 ab:abab=aaa,bbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10962 solved: rounds:4,rules:2,peak:10,longest:7,steps:5,word:4,work:1791,nodes:34,pairs:56,completionMax:225us [09m33s] 10962 ab:abab=aaa,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 10962 ab:abab=aaa,bbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 10963 solved: rounds:7,rules:13,peak:20,longest:24,steps:33,word:17,work:110862,nodes:308,pairs:94,completionMax:2581us [09m33s] 10963 ab:abab=aaa,bbbb=1 infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaa=aaaaaaa,aaaaaaaaaaaaaaaaaba=aaaaaba,aaaaaaaaaaaaaaaabaa=aaaabaa,abaaa=aaaab,abab=aaa,aaaaaaaaaaaaaaaabba=aaaabba,abaaba=aaaaaabb,aaaabbaa=aaaaaaaaaaaaaabaab,aaabbb=aba,aaaabbab=aaaabaa,aaaabaabba=aaaaaaaaabaabb,bbbb=1,aaaabaabbb=aaaabba [09m33s] # 10964 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:87,nodes:12,pairs:8,completionMax:27us [09m33s] 10964 ab:abab=aab,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10964 ab:abab=aab,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10965 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:10,pairs:4,completionMax:15us [09m33s] 10965 ab:abab=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10965 ab:abab=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10966 solved: rounds:4,rules:2,peak:5,longest:4,steps:1,word:0,work:133,nodes:16,pairs:11,completionMax:42us [09m33s] 10966 ab:abab=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10966 ab:abab=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10967 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:376,nodes:18,pairs:22,completionMax:46us [09m33s] 10967 ab:abab=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10967 ab:abab=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10968 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:257,nodes:20,pairs:29,completionMax:41us [09m33s] 10968 ab:abab=aab,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10968 ab:abab=aab,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10969 solved: rounds:3,rules:2,peak:8,longest:4,steps:3,word:0,work:285,nodes:18,pairs:29,completionMax:40us [09m33s] 10969 ab:abab=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10969 ab:abab=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10970 solved: rounds:4,rules:2,peak:4,longest:4,steps:1,word:0,work:86,nodes:16,pairs:10,completionMax:23us [09m33s] 10970 ab:abab=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10970 ab:abab=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10971 solved: rounds:3,rules:2,peak:9,longest:4,steps:4,word:0,work:407,nodes:18,pairs:34,completionMax:47us [09m33s] 10971 ab:abab=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10971 ab:abab=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10972 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:178,nodes:16,pairs:21,completionMax:43us [09m33s] 10972 ab:abab=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10972 ab:abab=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10973 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:35,nodes:14,pairs:2,completionMax:8us [09m33s] 10973 ab:abab=aab,bbbb=1 infinite ab - - ab:aba=aa,bbbb=1 [09m33s] from: 10973 ab:abab=aab,bbbb=1 infinite to: 1549 ab:aba=aa,bbbb=1 infinite a=a,b=b [09m33s] # 10974 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:382,nodes:16,pairs:16,completionMax:67us [09m33s] 10974 ab:abab=aba,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10974 ab:abab=aba,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10975 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:108,nodes:10,pairs:6,completionMax:12us [09m33s] 10975 ab:abab=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10975 ab:abab=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10976 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:194,nodes:18,pairs:15,completionMax:33us [09m33s] 10976 ab:abab=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10976 ab:abab=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10977 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:148,nodes:16,pairs:10,completionMax:30us [09m33s] 10977 ab:abab=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10977 ab:abab=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10978 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:75,nodes:16,pairs:7,completionMax:18us [09m33s] 10978 ab:abab=aba,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10978 ab:abab=aba,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10979 solved: rounds:2,rules:2,peak:9,longest:4,steps:3,word:0,work:319,nodes:16,pairs:23,completionMax:68us [09m33s] 10979 ab:abab=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10979 ab:abab=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10980 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:454,nodes:20,pairs:15,completionMax:46us [09m33s] 10980 ab:abab=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10980 ab:abab=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10981 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:181,nodes:16,pairs:16,completionMax:29us [09m33s] 10981 ab:abab=aba,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10981 ab:abab=aba,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10982 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:207,nodes:16,pairs:12,completionMax:21us [09m33s] 10982 ab:abab=aba,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10982 ab:abab=aba,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10983 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:3,work:139,nodes:30,pairs:12,completionMax:33us [09m33s] 10983 ab:abab=aba,bbbb=1 infinite bc/a ab=c frequency:2/0 abc:ccb=cc,bbbb=1,a=cbbb [09m33s] from: 10983 ab:abab=aba,bbbb=1 infinite to: 1491 ab:aab=aa,bbbb=1 infinite a=abbb,b=b,c=a [09m33s] # 10984 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:14,pairs:5,completionMax:17us [09m33s] 10984 ab:abab=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10984 ab:abab=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10985 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:233,nodes:16,pairs:17,completionMax:41us [09m33s] 10985 ab:abab=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10985 ab:abab=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10986 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:122,nodes:14,pairs:11,completionMax:27us [09m33s] 10986 ab:abab=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10986 ab:abab=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10987 solved: rounds:3,rules:5,peak:6,longest:5,steps:2,word:0,work:416,nodes:20,pairs:15,completionMax:52us [09m33s] 10987 ab:abab=abb,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab ab - - ab:aa=a,aba=ab,abba=abb,bbbb=1,abbba=abbb [09m33s] from: 10987 ab:abab=abb,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab to: 1565 ab:aba=ab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab a=a,b=b [09m33s] # 10988 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:389,nodes:22,pairs:34,completionMax:91us [09m33s] 10988 ab:abab=baa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10988 ab:abab=baa,abba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10989 solved: rounds:3,rules:2,peak:16,longest:7,steps:7,word:0,work:3987,nodes:36,pairs:75,completionMax:299us [09m33s] 10989 ab:abab=baa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10989 ab:abab=baa,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10990 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:262,nodes:18,pairs:23,completionMax:62us [09m33s] 10990 ab:abab=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 10990 ab:abab=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 10991 solved: rounds:2,rules:2,peak:10,longest:5,steps:4,word:0,work:597,nodes:22,pairs:18,completionMax:76us [09m33s] 10991 ab:abab=baa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10991 ab:abab=baa,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10992 solved: rounds:4,rules:2,peak:8,longest:4,steps:3,word:0,work:434,nodes:24,pairs:33,completionMax:74us [09m33s] 10992 ab:abab=baa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10992 ab:abab=baa,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10993 solved: rounds:2,rules:2,peak:7,longest:5,steps:9,word:0,work:458,nodes:18,pairs:26,completionMax:71us [09m33s] 10993 ab:abab=baa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10993 ab:abab=baa,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10994 solved: rounds:3,rules:2,peak:10,longest:6,steps:9,word:0,work:1412,nodes:34,pairs:51,completionMax:158us [09m33s] 10994 ab:abab=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 10994 ab:abab=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 10995 solved: rounds:2,rules:2,peak:11,longest:5,steps:8,word:0,work:850,nodes:24,pairs:33,completionMax:126us [09m33s] 10995 ab:abab=baa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10995 ab:abab=baa,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 10996 solved: rounds:3,rules:2,peak:6,longest:6,steps:9,word:0,work:523,nodes:24,pairs:25,completionMax:71us [09m33s] 10996 ab:abab=baa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 10996 ab:abab=baa,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] 10997 ab:abab=baa,bbbb=1 hard definitely-infinite [09m33s] # 10998 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:10,pairs:4,completionMax:15us [09m33s] 10998 ab:abab=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10998 ab:abab=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 10999 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:37,nodes:14,pairs:5,completionMax:17us [09m33s] 10999 ab:abab=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 10999 ab:abab=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11000 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:41,nodes:14,pairs:5,completionMax:13us [09m33s] 11000 ab:abab=bab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11000 ab:abab=bab,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11001 solved: rounds:3,rules:5,peak:6,longest:5,steps:2,word:0,work:419,nodes:20,pairs:15,completionMax:40us [09m33s] 11001 ab:abab=bab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab ab - - ab:aa=a,aba=ba,abba=bba,bbbb=1,abbba=bbba [09m33s] from: 11001 ab:abab=bab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab to: 1565 ab:aba=ab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab anti:a=a,b=b [09m33s] # 11002 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:867,nodes:24,pairs:49,completionMax:95us [09m33s] 11002 ab:abab=bba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11002 ab:abab=bba,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11003 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:523,nodes:22,pairs:32,completionMax:67us [09m33s] 11003 ab:abab=bba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11003 ab:abab=bba,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11004 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:695,nodes:22,pairs:19,completionMax:71us [09m33s] 11004 ab:abab=bba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11004 ab:abab=bba,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11005 solved: rounds:5,rules:4,peak:9,longest:9,steps:21,word:6,work:4747,nodes:48,pairs:48,completionMax:271us [09m33s] 11005 ab:abab=bba,bbbb=1 finite:44;idempotents:1,aaaaa,baaaaabbb reversed:a/b - - ab:aaaaaa=a,aba=aaaab,bba=aaaabb,bbbb=1 [09m33s] # 11006 solved: rounds:4,rules:2,peak:9,longest:11,steps:24,word:2,work:2816,nodes:32,pairs:37,completionMax:143us [09m33s] 11006 ab:abab=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11006 ab:abab=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11007 solved: rounds:3,rules:2,peak:7,longest:9,steps:8,word:2,work:1549,nodes:28,pairs:22,completionMax:130us [09m33s] 11007 ab:abab=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11007 ab:abab=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11008 solved: rounds:4,rules:2,peak:8,longest:9,steps:7,word:2,work:2904,nodes:42,pairs:55,completionMax:242us [09m33s] 11008 ab:abab=bbb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11008 ab:abab=bbb,bbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11009 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:519,nodes:34,pairs:24,completionMax:94us [09m33s] 11009 ab:abab=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 11009 ab:abab=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 11010 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:2,work:36,nodes:10,pairs:5,completionMax:14us [09m33s] 11010 ab:abba=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11010 ab:abba=aaa,abbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11011 solved: rounds:3,rules:2,peak:5,longest:8,steps:3,word:6,work:170,nodes:24,pairs:8,completionMax:44us [09m33s] 11011 ab:abba=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11011 ab:abba=aaa,baaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11012 solved: rounds:4,rules:2,peak:15,longest:9,steps:6,word:9,work:6323,nodes:50,pairs:116,completionMax:550us [09m33s] 11012 ab:abba=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11012 ab:abba=aaa,baab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11013 solved: rounds:4,rules:2,peak:10,longest:7,steps:4,word:2,work:1515,nodes:34,pairs:38,completionMax:134us [09m33s] 11013 ab:abba=aaa,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11013 ab:abba=aaa,baba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11014 solved: rounds:3,rules:2,peak:8,longest:6,steps:7,word:4,work:747,nodes:26,pairs:36,completionMax:92us [09m33s] 11014 ab:abba=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11014 ab:abba=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11015 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:1,work:186,nodes:22,pairs:15,completionMax:43us [09m33s] 11015 ab:abba=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11015 ab:abba=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11016 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:4us [09m33s] 11016 ab:abba=aaa,bbbb=1 infinite ab - - ab:abba=aaa,bbbb=1 [09m33s] # 11017 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:149,nodes:14,pairs:17,completionMax:39us [09m33s] 11017 ab:abba=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11017 ab:abba=aab,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11018 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:0,work:572,nodes:22,pairs:32,completionMax:87us [09m33s] 11018 ab:abba=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11018 ab:abba=aab,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11019 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:545,nodes:24,pairs:18,completionMax:62us [09m33s] 11019 ab:abba=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11019 ab:abba=aab,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11020 solved: rounds:5,rules:3,peak:9,longest:4,steps:3,word:1,work:673,nodes:20,pairs:42,completionMax:115us [09m33s] 11020 ab:abba=aab,baba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11020 ab:abba=aab,baba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11021 solved: rounds:2,rules:2,peak:12,longest:5,steps:6,word:0,work:670,nodes:26,pairs:21,completionMax:98us [09m33s] 11021 ab:abba=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11021 ab:abba=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11022 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:164,nodes:18,pairs:12,completionMax:32us [09m33s] 11022 ab:abba=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11022 ab:abba=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11023 solved: rounds:2,rules:2,peak:14,longest:5,steps:6,word:0,work:859,nodes:26,pairs:28,completionMax:116us [09m33s] 11023 ab:abba=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11023 ab:abba=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11024 solved: rounds:4,rules:2,peak:10,longest:5,steps:4,word:0,work:1153,nodes:20,pairs:47,completionMax:115us [09m33s] 11024 ab:abba=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11024 ab:abba=aab,bbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11025 solved: rounds:2,rules:7,peak:7,longest:5,steps:2,word:1,work:105,nodes:24,pairs:8,completionMax:30us [09m33s] 11025 ab:abba=aab,bbbb=1 infinite reversed:b/ca aa=c frequency:2/1 abc:bbbb=1,ca=ac,cba=abbc,cbba=acb,cbbba=abbcb,aa=c,abba=cb [09m33s] # 11026 solved: rounds:4,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:4,completionMax:11us [09m33s] 11026 ab:abba=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11026 ab:abba=aba,abbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11027 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:16,pairs:6,completionMax:24us [09m33s] 11027 ab:abba=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11027 ab:abba=aba,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11028 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:69,nodes:14,pairs:9,completionMax:14us [09m33s] 11028 ab:abba=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11028 ab:abba=aba,baab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11029 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:112,nodes:16,pairs:7,completionMax:17us [09m33s] 11029 ab:abba=aba,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11029 ab:abba=aba,baba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11030 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:126,nodes:14,pairs:8,completionMax:17us [09m33s] 11030 ab:abba=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11030 ab:abba=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11031 solved: rounds:4,rules:2,peak:4,longest:4,steps:1,word:0,work:71,nodes:16,pairs:5,completionMax:22us [09m33s] 11031 ab:abba=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11031 ab:abba=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11032 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:4us [09m33s] 11032 ab:abba=aba,bbbb=1 infinite ab - - ab:abba=aba,bbbb=1 [09m33s] # 11033 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:10,pairs:5,completionMax:74us [09m33s] 11033 ab:abba=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11033 ab:abba=abb,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11034 solved: rounds:4,rules:2,peak:7,longest:4,steps:3,word:0,work:321,nodes:16,pairs:17,completionMax:50us [09m33s] 11034 ab:abba=abb,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11034 ab:abba=abb,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11035 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:142,nodes:16,pairs:10,completionMax:30us [09m33s] 11035 ab:abba=abb,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11035 ab:abba=abb,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11036 solved: rounds:4,rules:2,peak:7,longest:4,steps:2,word:0,work:274,nodes:16,pairs:21,completionMax:42us [09m33s] 11036 ab:abba=abb,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11036 ab:abba=abb,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11037 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:66,nodes:18,pairs:7,completionMax:16us [09m33s] 11037 ab:abba=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11037 ab:abba=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11038 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:153,nodes:14,pairs:10,completionMax:20us [09m33s] 11038 ab:abba=abb,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11038 ab:abba=abb,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11039 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:14,pairs:9,completionMax:16us [09m33s] 11039 ab:abba=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11039 ab:abba=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11040 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:128,nodes:16,pairs:12,completionMax:29us [09m33s] 11040 ab:abba=abb,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11040 ab:abba=abb,bbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11041 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:32,nodes:14,pairs:1,completionMax:7us [09m33s] 11041 ab:abba=abb,bbbb=1 infinite ab - - ab:aa=a,abba=abb,bbbb=1 [09m33s] # 11042 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:102,nodes:18,pairs:14,completionMax:32us [09m33s] 11042 ab:abba=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11042 ab:abba=baa,baaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11043 solved: rounds:4,rules:3,peak:14,longest:7,steps:3,word:2,work:1664,nodes:34,pairs:50,completionMax:216us [09m33s] 11043 ab:abba=baa,baba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11043 ab:abba=baa,baba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11044 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:247,nodes:22,pairs:13,completionMax:38us [09m33s] 11044 ab:abba=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11044 ab:abba=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11045 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:114,nodes:10,pairs:5,completionMax:16us [09m33s] 11045 ab:abba=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11045 ab:abba=bab,abbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11046 solved: rounds:3,rules:2,peak:10,longest:6,steps:9,word:0,work:1383,nodes:30,pairs:24,completionMax:86us [09m33s] 11046 ab:abba=bab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11046 ab:abba=bab,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11047 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:651,nodes:18,pairs:21,completionMax:71us [09m33s] 11047 ab:abba=bab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11047 ab:abba=bab,baab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11048 solved: rounds:3,rules:3,peak:9,longest:4,steps:4,word:1,work:543,nodes:20,pairs:43,completionMax:88us [09m33s] 11048 ab:abba=bab,baba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11048 ab:abba=bab,baba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11049 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:108,nodes:16,pairs:9,completionMax:20us [09m33s] 11049 ab:abba=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11049 ab:abba=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11050 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:330,nodes:22,pairs:15,completionMax:46us [09m33s] 11050 ab:abba=bab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11050 ab:abba=bab,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11051 solved: rounds:6,rules:8,peak:16,longest:8,steps:13,word:10,work:13945,nodes:78,pairs:95,completionMax:564us [09m33s] 11051 ab:abba=bab,bbbb=1 finite:100;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,baabaa,baabaaaaa a/b - - ab:aaaaaaa=a,abaaaaaa=ab,aaab=baaa,abb=babaaaaa,abaab=baaba,aabab=bbaaaa,ababab=bbbaaaaa,bbbb=1 [09m33s] # 11052 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:167,nodes:18,pairs:11,completionMax:21us [09m33s] 11052 ab:abba=bba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11052 ab:abba=bba,baaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11053 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:102,nodes:20,pairs:8,completionMax:21us [09m33s] 11053 ab:abba=bba,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11053 ab:abba=bba,baba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11054 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:95,nodes:16,pairs:7,completionMax:14us [09m33s] 11054 ab:abba=bba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11054 ab:abba=bba,bbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11055 solved: rounds:3,rules:2,peak:6,longest:7,steps:9,word:3,work:823,nodes:24,pairs:25,completionMax:60us [09m33s] 11055 ab:abba=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11055 ab:abba=bbb,abbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11056 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:3,work:520,nodes:24,pairs:16,completionMax:50us [09m33s] 11056 ab:abba=bbb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 11056 ab:abba=bbb,baaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 11057 solved: rounds:2,rules:2,peak:7,longest:8,steps:6,word:1,work:1004,nodes:32,pairs:30,completionMax:75us [09m33s] 11057 ab:abba=bbb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11057 ab:abba=bbb,baab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 11058 solved: rounds:3,rules:3,peak:7,longest:15,steps:19,word:56,work:5605,nodes:44,pairs:30,completionMax:183us [09m33s] 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbb,aa=bbbbbbbbbb [09m33s] # 11059 solved: rounds:2,rules:2,peak:6,longest:8,steps:16,word:2,work:723,nodes:26,pairs:19,completionMax:48us [09m33s] 11059 ab:abba=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11059 ab:abba=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11060 solved: rounds:2,rules:2,peak:4,longest:10,steps:5,word:4,work:324,nodes:26,pairs:6,completionMax:27us [09m33s] 11060 ab:abba=bbb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11060 ab:abba=bbb,bbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 11061 solved: rounds:3,rules:2,peak:7,longest:10,steps:39,word:4,work:1602,nodes:42,pairs:22,completionMax:120us [09m33s] 11061 ab:abba=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 11061 ab:abba=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 11062 solved: rounds:3,rules:3,peak:4,longest:9,steps:3,word:5,work:103,nodes:24,pairs:5,completionMax:27us [09m33s] 11062 ab:abbb=aaa,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbbb=1 [09m33s] from: 11062 ab:abbb=aaa,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a=a,b=b [09m33s] # 11063 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:93,nodes:20,pairs:6,completionMax:23us [09m33s] 11063 ab:abbb=aab,bbbb=1 infinite ab - - ab:aaa=a,abb=aa,bbbb=1 [09m33s] from: 11063 ab:abbb=aab,bbbb=1 infinite to: 1397 ab:aabb=a,bbbb=1 infinite a=a,b=b [09m33s] # 11064 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:172,nodes:16,pairs:9,completionMax:26us [09m33s] 11064 ab:abbb=aba,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab ab - - ab:aaa=a,aba=aab,abb=aa,bbbb=1 [09m33s] from: 11064 ab:abbb=aba,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab to: 1412 ab:abab=a,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab a=a,b=b [09m33s] # 11065 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:0,work:57,nodes:14,pairs:2,completionMax:11us [09m33s] 11065 ab:abbb=abb,bbbb=1 infinite ab - - ab:ab=a,bbbb=1 [09m33s] from: 11065 ab:abbb=abb,bbbb=1 infinite to: 234 ab:ab=a,bbbb=1 infinite a=a,b=b [09m33s] # 11066 solved: rounds:5,rules:9,peak:12,longest:16,steps:13,word:8,work:6707,nodes:124,pairs:40,completionMax:253us [09m33s] 11066 ab:abbb=baa,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,abaaaaaaaaaaaa=ab,aaab=baaa,baab=a,abb=babaa,aabab=bba,bbba=aab,babab=abaaaaaaaaaa,bbbb=1 [09m33s] from: 11066 ab:abbb=baa,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=a,b=b [09m33s] # 11067 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:2,work:123,nodes:10,pairs:2,completionMax:12us [09m33s] 11067 ab:abbb=bab,bbbb=1 infinite b/a - - ab:bbbb=1,ba=abb [09m33s] from: 11067 ab:abbb=bab,bbbb=1 infinite to: 1438 ab:babb=a,bbbb=1 infinite a=a,b=b [09m33s] # 11068 solved: rounds:1,rules:2,peak:5,longest:4,steps:3,word:1,work:127,nodes:12,pairs:3,completionMax:14us [09m33s] 11068 ab:abbb=bba,bbbb=1 infinite reversed:b/a - - ab:bbbb=1,ab=bba [09m33s] from: 11068 ab:abbb=bba,bbbb=1 infinite to: 1438 ab:babb=a,bbbb=1 infinite anti:a=a,b=b [09m33s] # 11069 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:14,pairs:3,completionMax:7us [09m33s] 11069 ab:abbb=bbb,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 11069 ab:abbb=bbb,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 11070 solved: rounds:3,rules:2,peak:12,longest:12,steps:9,word:6,work:3548,nodes:52,pairs:35,completionMax:248us [09m33s] 11070 ab:baab=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11070 ab:baab=aaa,babb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11071 solved: rounds:10,rules:48,peak:60,longest:29,steps:113,word:30,work:498200,nodes:690,pairs:1626,completionMax:18208us [09m33s] 11071 ab:baab=aaa,bbbb=1 infinite e/a/dc/b bbb=c,cacacac=d,aadddd=e custom:1 abcde:ea=ae,aaee=e,aaaae=aa,de=aee,dae=e,daa=aaae,ed=aee,aad=aaae,ecaae=ec,ecaaae=eca,eeeeec=ceeeee,ace=eecaaa,acae=eecaaaa,acaa=eecaaaaaaa,aec=eeecaaaaa,aeec=eeeecaaaaa,aeeec=caeee,aeeeec=ecaeee,aac=eeeecaaaaaaaaaa,dce=eeecaaa,dcae=eeecaaaa,dcaa=eeecaaaaaaa,cad=dac,ecd=ecae,cec=aee,eccaae=ecc,eccaaae=ecca,eceec=cceeee,ecac=ccaee,eeeecc=ceece,acce=eeccaaa,accae=eeccaaaa,accaa=eeccaaaaaaa,dcce=eeeccaaa,dccae=eeeccaaaa,dccaa=eeeccaaaaaaa,eccd=eccae,ccce=eca,cccae=ecaa,cccaa=ecaaaaa,eccc=eecaaa,eccac=ecceecaaaaa,dccd=eeeccaaaa,dccc=cacaca,cccd=acacac,cccc=1,cacacac=d,b=ccc [09m33s] # 11072 solved: rounds:3,rules:2,peak:8,longest:4,steps:5,word:0,work:774,nodes:18,pairs:23,completionMax:77us [09m33s] 11072 ab:baab=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11072 ab:baab=aab,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11073 solved: rounds:3,rules:2,peak:10,longest:4,steps:5,word:0,work:678,nodes:18,pairs:28,completionMax:84us [09m33s] 11073 ab:baab=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11073 ab:baab=aab,bbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11074 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:50,nodes:12,pairs:2,completionMax:10us [09m33s] 11074 ab:baab=aab,bbbb=1 infinite ab - - ab:baa=aa,bbbb=1 [09m33s] # 11075 solved: rounds:3,rules:2,peak:15,longest:6,steps:8,word:0,work:2823,nodes:34,pairs:58,completionMax:264us [09m33s] 11075 ab:baab=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11075 ab:baab=aba,babb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11076 solved: rounds:1,rules:3,peak:4,longest:6,steps:12,word:6,work:273,nodes:16,pairs:3,completionMax:26us [09m33s] 11076 ab:baab=aba,bbbb=1 infinite b/a - - ab:bbbb=1,baa=ababbb,bbbaba=aab [09m33s] # 11077 solved: rounds:3,rules:2,peak:6,longest:4,steps:6,word:0,work:452,nodes:18,pairs:18,completionMax:56us [09m33s] 11077 ab:baab=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11077 ab:baab=abb,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11078 solved: rounds:3,rules:2,peak:10,longest:5,steps:3,word:0,work:696,nodes:18,pairs:28,completionMax:89us [09m33s] 11078 ab:baab=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11078 ab:baab=abb,bbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11079 solved: rounds:1,rules:3,peak:4,longest:16,steps:33,word:14,work:815,nodes:40,pairs:2,completionMax:51us [09m33s] 11079 ab:baab=abb,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=baa,bbbb=1 [09m33s] # 11080 solved: rounds:3,rules:2,peak:7,longest:4,steps:4,word:0,work:343,nodes:18,pairs:12,completionMax:52us [09m33s] 11080 ab:baab=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11080 ab:baab=bab,babb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11081 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:73,nodes:16,pairs:4,completionMax:20us [09m33s] 11081 ab:baab=bab,bbbb=1 infinite ab - - ab:aa=a,bbbb=1 [09m33s] from: 11081 ab:baab=bab,bbbb=1 infinite to: 208 ab:aa=a,bbbb=1 infinite a=a,b=b [09m33s] # 11082 solved: rounds:2,rules:2,peak:7,longest:10,steps:7,word:2,work:1028,nodes:36,pairs:11,completionMax:92us [09m33s] 11082 ab:baab=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11082 ab:baab=bbb,babb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11083 solved: rounds:3,rules:2,peak:5,longest:8,steps:7,word:2,work:471,nodes:22,pairs:13,completionMax:48us [09m33s] 11083 ab:baab=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 11083 ab:baab=bbb,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 11084 solved: rounds:4,rules:2,peak:16,longest:12,steps:7,word:2,work:8611,nodes:102,pairs:108,completionMax:564us [09m33s] 11084 ab:baba=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11084 ab:baba=aaa,bbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11085 solved: rounds:4,rules:2,peak:14,longest:7,steps:6,word:0,work:2223,nodes:42,pairs:119,completionMax:299us [09m33s] 11085 ab:baba=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11085 ab:baba=aab,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11086 solved: rounds:5,rules:2,peak:6,longest:5,steps:3,word:0,work:252,nodes:22,pairs:14,completionMax:37us [09m33s] 11086 ab:baba=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11086 ab:baba=aba,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11087 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:69,nodes:16,pairs:7,completionMax:24us [09m33s] 11087 ab:baba=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11087 ab:baba=baa,bbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11088 solved: rounds:4,rules:12,peak:30,longest:15,steps:6,word:12,work:57345,nodes:142,pairs:492,completionMax:4842us [09m33s] 11088 ab:babb=aaa,bbbb=1 finite:148;idempotents:1,aaaaaaaa,aaaaaabaaaaaab a/b - - ab:aaaaaaaaa=a,aaaaaaaaba=ba,bba=aaaaabaa,baba=abaaaaaaa,baaba=aaaabaaaaa,baaaba=aabaaaaaaaa,baaaaba=aaaaaaabaaaa,baaaaaba=aaaaaabaaaaaa,baaaaaaba=aaa,baaaaaaaba=aaabaaa,abb=aaaaaaba,bbbb=1 [09m33s] # 11089 solved: rounds:6,rules:11,peak:17,longest:17,steps:20,word:10,work:23423,nodes:142,pairs:67,completionMax:856us [09m33s] 11089 ab:babb=aab,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,abaaaaaaaaaaaa=ab,aaab=baaa,bab=aa,abbaaaaaaaaaaaa=abb,abaab=bbaaaaa,aabb=baabaaaaaaaaaa,bbba=abaaaaaaaaaaa,abbb=aabaaaaaaaaaa,abbaab=bbaabaaaaa,bbbb=1 [09m33s] from: 11089 ab:babb=aab,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa to: 1566 ab:aba=bb,aaaa=1 finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=b,b=a [09m33s] # 11090 solved: rounds:4,rules:8,peak:14,longest:9,steps:10,word:2,work:6534,nodes:54,pairs:57,completionMax:313us [09m33s] 11090 ab:babb=aba,bbbb=1 finite:44;idempotents:1,aa,bbbaab reversed:b/a - - ab:bbbb=1,aba=babb,aabb=bbaa,abbabb=babbba,abbbabb=bbbabba,aaa=a,abbaa=abb,abbbaa=bbabbba [09m33s] # 11091 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:67,nodes:12,pairs:3,completionMax:13us [09m33s] 11091 ab:babb=abb,bbbb=1 infinite ab - - ab:ba=a,bbbb=1 [09m33s] from: 11091 ab:babb=abb,bbbb=1 infinite to: 1492 ab:aab=ab,aaaa=1 infinite a=b,b=a [09m33s] # 11092 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:116,nodes:18,pairs:8,completionMax:18us [09m33s] 11092 ab:babb=baa,bbbb=1 infinite ab - - ab:aaa=a,abb=aa,bbbb=1 [09m33s] from: 11092 ab:babb=baa,bbbb=1 infinite to: 1397 ab:aabb=a,bbbb=1 infinite a=a,b=b [09m33s] # 11093 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:141,nodes:16,pairs:7,completionMax:20us [09m33s] 11093 ab:babb=bab,bbbb=1 infinite ab - - ab:ab=a,bbbb=1 [09m33s] from: 11093 ab:babb=bab,bbbb=1 infinite to: 234 ab:ab=a,bbbb=1 infinite a=a,b=b [09m33s] # 11094 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:1,work:50,nodes:8,pairs:2,completionMax:7us [09m33s] 11094 ab:babb=bba,bbbb=1 infinite b/a - - ab:bbbb=1,ba=abb [09m33s] from: 11094 ab:babb=bba,bbbb=1 infinite to: 1438 ab:babb=a,bbbb=1 infinite a=a,b=b [09m33s] # 11095 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:16,pairs:6,completionMax:13us [09m33s] 11095 ab:babb=bbb,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 11095 ab:babb=bbb,bbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 11096 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:62,nodes:10,pairs:6,completionMax:16us [09m33s] 11096 ab:aaaaa=a,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11096 ab:aaaaa=a,aaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11097 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:185,nodes:14,pairs:17,completionMax:42us [09m33s] 11097 ab:aaaaa=a,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11097 ab:aaaaa=a,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11098 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:2,work:375,nodes:26,pairs:18,completionMax:56us [09m33s] 11098 ab:aaaaa=a,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11098 ab:aaaaa=a,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11099 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:402,nodes:18,pairs:33,completionMax:54us [09m33s] 11099 ab:aaaaa=a,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11099 ab:aaaaa=a,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11100 solved: rounds:3,rules:2,peak:7,longest:9,steps:13,word:4,work:1252,nodes:30,pairs:26,completionMax:69us [09m33s] 11100 ab:aaaaa=a,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11100 ab:aaaaa=a,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11101 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:2,work:314,nodes:24,pairs:17,completionMax:46us [09m33s] 11101 ab:aaaaa=a,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11101 ab:aaaaa=a,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11102 solved: rounds:3,rules:3,peak:4,longest:5,steps:4,word:0,work:118,nodes:18,pairs:8,completionMax:31us [09m33s] 11102 ab:aaaaa=a,aabbb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11102 ab:aaaaa=a,aabbb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11103 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:3,work:281,nodes:24,pairs:9,completionMax:43us [09m33s] 11103 ab:aaaaa=a,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11103 ab:aaaaa=a,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11104 solved: rounds:4,rules:2,peak:4,longest:8,steps:12,word:2,work:662,nodes:18,pairs:15,completionMax:64us [09m33s] 11104 ab:aaaaa=a,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11104 ab:aaaaa=a,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11105 solved: rounds:6,rules:3,peak:9,longest:6,steps:5,word:0,work:1142,nodes:26,pairs:37,completionMax:129us [09m33s] 11105 ab:aaaaa=a,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11105 ab:aaaaa=a,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11106 solved: rounds:3,rules:3,peak:6,longest:5,steps:7,word:0,work:447,nodes:22,pairs:12,completionMax:39us [09m33s] 11106 ab:aaaaa=a,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11106 ab:aaaaa=a,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11107 solved: rounds:3,rules:3,peak:4,longest:5,steps:4,word:0,work:160,nodes:22,pairs:12,completionMax:23us [09m33s] 11107 ab:aaaaa=a,abbba=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11107 ab:aaaaa=a,abbba=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11108 solved: rounds:5,rules:2,peak:4,longest:16,steps:2,word:11,work:208,nodes:32,pairs:16,completionMax:44us [09m33s] 11108 ab:aaaaa=a,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11108 ab:aaaaa=a,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11109 solved: rounds:3,rules:2,peak:7,longest:8,steps:11,word:3,work:1986,nodes:34,pairs:42,completionMax:129us [09m33s] 11109 ab:aaaaa=a,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11109 ab:aaaaa=a,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11110 solved: rounds:4,rules:3,peak:5,longest:7,steps:6,word:0,work:559,nodes:26,pairs:12,completionMax:42us [09m33s] 11110 ab:aaaaa=a,baabb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11110 ab:aaaaa=a,baabb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11111 solved: rounds:4,rules:3,peak:5,longest:5,steps:5,word:0,work:307,nodes:20,pairs:9,completionMax:32us [09m33s] 11111 ab:aaaaa=a,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11111 ab:aaaaa=a,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11112 solved: rounds:7,rules:2,peak:5,longest:16,steps:10,word:11,work:864,nodes:32,pairs:12,completionMax:66us [09m33s] 11112 ab:aaaaa=a,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11112 ab:aaaaa=a,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11113 solved: rounds:7,rules:2,peak:5,longest:16,steps:10,word:11,work:903,nodes:32,pairs:19,completionMax:71us [09m33s] 11113 ab:aaaaa=a,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11113 ab:aaaaa=a,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11114 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:18,pairs:0,completionMax:8us [09m33s] 11114 ab:aaaaa=a,bbbbb=1 infinite ab - - ab:aaaaa=a,bbbbb=1 [09m33s] # 11115 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:4,work:5,nodes:18,pairs:0,completionMax:6us [09m33s] 11115 ab:aaaaa=b,aaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 11115 ab:aaaaa=b,aaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 11116 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:4,work:4,nodes:18,pairs:0,completionMax:5us [09m33s] 11116 ab:aaaaa=b,aaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 11116 ab:aaaaa=b,aaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 11117 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:13,nodes:26,pairs:0,completionMax:10us [09m33s] 11117 ab:aaaaa=b,aaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11117 ab:aaaaa=b,aaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11118 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:4,work:3,nodes:18,pairs:0,completionMax:7us [09m33s] 11118 ab:aaaaa=b,aabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 11118 ab:aaaaa=b,aabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 11119 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:12,nodes:26,pairs:0,completionMax:9us [09m33s] 11119 ab:aaaaa=b,aabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11119 ab:aaaaa=b,aabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11120 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:11,nodes:26,pairs:0,completionMax:8us [09m33s] 11120 ab:aaaaa=b,aabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11120 ab:aaaaa=b,aabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11121 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:24,nodes:34,pairs:0,completionMax:10us [09m33s] 11121 ab:aaaaa=b,aabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11121 ab:aaaaa=b,aabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11122 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:11,nodes:26,pairs:0,completionMax:6us [09m33s] 11122 ab:aaaaa=b,abaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11122 ab:aaaaa=b,abaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11123 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:10,nodes:26,pairs:0,completionMax:7us [09m33s] 11123 ab:aaaaa=b,ababa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11123 ab:aaaaa=b,ababa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11124 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:23,nodes:34,pairs:0,completionMax:10us [09m33s] 11124 ab:aaaaa=b,ababb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11124 ab:aaaaa=b,ababb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11125 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:22,nodes:34,pairs:0,completionMax:10us [09m33s] 11125 ab:aaaaa=b,abbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11125 ab:aaaaa=b,abbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11126 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:21,nodes:34,pairs:0,completionMax:10us [09m33s] 11126 ab:aaaaa=b,abbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11126 ab:aaaaa=b,abbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11127 solved: rounds:0,rules:2,peak:2,longest:21,steps:4,word:16,work:38,nodes:42,pairs:0,completionMax:16us [09m33s] 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] # 11128 solved: rounds:0,rules:2,peak:2,longest:13,steps:2,word:8,work:10,nodes:26,pairs:0,completionMax:5us [09m33s] 11128 ab:aaaaa=b,baaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11128 ab:aaaaa=b,baaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 11129 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:22,nodes:34,pairs:0,completionMax:10us [09m33s] 11129 ab:aaaaa=b,baabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11129 ab:aaaaa=b,baabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11130 solved: rounds:0,rules:2,peak:2,longest:17,steps:3,word:12,work:21,nodes:34,pairs:0,completionMax:9us [09m33s] 11130 ab:aaaaa=b,babab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11130 ab:aaaaa=b,babab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b7;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbb,b=b [09m33s] # 11131 solved: rounds:0,rules:2,peak:2,longest:21,steps:4,word:16,work:37,nodes:42,pairs:0,completionMax:12us [09m33s] 11131 ab:aaaaa=b,babbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11131 ab:aaaaa=b,babbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbbbbb,b=b [09m33s] # 11132 solved: rounds:0,rules:2,peak:2,longest:21,steps:4,word:16,work:36,nodes:42,pairs:0,completionMax:14us [09m33s] 11132 ab:aaaaa=b,bbabb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 11132 ab:aaaaa=b,bbabb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbbbbb,b=b [09m33s] # 11133 solved: rounds:0,rules:2,peak:2,longest:25,steps:5,word:20,work:55,nodes:50,pairs:0,completionMax:19us [09m33s] 11133 ab:aaaaa=b,bbbbb=1 finite:25;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a25=1,b=a5;saturation:a:a25=1;cancellative;smith:25;group:a-aaaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaa=1,b=aaaaa [09m33s] # 11134 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:104,nodes:12,pairs:21,completionMax:28us [09m33s] 11134 ab:aaaab=a,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11134 ab:aaaab=a,aaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11135 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:12,pairs:4,completionMax:17us [09m33s] 11135 ab:aaaab=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11135 ab:aaaab=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11136 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:203,nodes:18,pairs:34,completionMax:46us [09m33s] 11136 ab:aaaab=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11136 ab:aaaab=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11137 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:15,nodes:14,pairs:5,completionMax:15us [09m33s] 11137 ab:aaaab=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11137 ab:aaaab=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11138 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:297,nodes:18,pairs:20,completionMax:56us [09m33s] 11138 ab:aaaab=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11138 ab:aaaab=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11139 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:6,work:68,nodes:16,pairs:6,completionMax:18us [09m33s] 11139 ab:aaaab=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11139 ab:aaaab=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11140 solved: rounds:2,rules:2,peak:7,longest:5,steps:5,word:0,work:668,nodes:22,pairs:44,completionMax:70us [09m33s] 11140 ab:aaaab=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11140 ab:aaaab=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11141 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:201,nodes:16,pairs:17,completionMax:26us [09m33s] 11141 ab:aaaab=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11141 ab:aaaab=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11142 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:215,nodes:18,pairs:22,completionMax:43us [09m33s] 11142 ab:aaaab=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11142 ab:aaaab=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11143 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:0,work:49,nodes:18,pairs:6,completionMax:16us [09m33s] 11143 ab:aaaab=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11143 ab:aaaab=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11144 solved: rounds:2,rules:2,peak:10,longest:5,steps:4,word:0,work:620,nodes:24,pairs:33,completionMax:102us [09m33s] 11144 ab:aaaab=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11144 ab:aaaab=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11145 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:6,work:392,nodes:24,pairs:16,completionMax:45us [09m33s] 11145 ab:aaaab=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11145 ab:aaaab=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11146 solved: rounds:3,rules:2,peak:8,longest:9,steps:5,word:6,work:842,nodes:24,pairs:25,completionMax:70us [09m33s] 11146 ab:aaaab=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11146 ab:aaaab=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11147 solved: rounds:4,rules:2,peak:4,longest:11,steps:2,word:7,work:42,nodes:22,pairs:8,completionMax:30us [09m33s] 11147 ab:aaaab=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11147 ab:aaaab=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11148 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:219,nodes:18,pairs:29,completionMax:45us [09m33s] 11148 ab:aaaab=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11148 ab:aaaab=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11149 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:199,nodes:18,pairs:14,completionMax:42us [09m33s] 11149 ab:aaaab=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11149 ab:aaaab=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11150 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:257,nodes:18,pairs:26,completionMax:56us [09m33s] 11150 ab:aaaab=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11150 ab:aaaab=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11151 solved: rounds:3,rules:2,peak:7,longest:10,steps:3,word:6,work:748,nodes:32,pairs:18,completionMax:72us [09m33s] 11151 ab:aaaab=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11151 ab:aaaab=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11152 solved: rounds:2,rules:2,peak:10,longest:5,steps:3,word:0,work:606,nodes:22,pairs:22,completionMax:83us [09m33s] 11152 ab:aaaab=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11152 ab:aaaab=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11153 solved: rounds:3,rules:2,peak:6,longest:8,steps:7,word:6,work:547,nodes:28,pairs:22,completionMax:70us [09m33s] 11153 ab:aaaab=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11153 ab:aaaab=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11154 solved: rounds:3,rules:2,peak:7,longest:12,steps:5,word:9,work:1019,nodes:32,pairs:22,completionMax:94us [09m33s] 11154 ab:aaaab=a,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11154 ab:aaaab=a,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11155 solved: rounds:4,rules:2,peak:8,longest:11,steps:3,word:7,work:685,nodes:30,pairs:23,completionMax:88us [09m33s] 11155 ab:aaaab=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11155 ab:aaaab=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11156 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:336,nodes:20,pairs:25,completionMax:56us [09m33s] 11156 ab:aaaab=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11156 ab:aaaab=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11157 solved: rounds:3,rules:2,peak:9,longest:7,steps:3,word:6,work:889,nodes:34,pairs:38,completionMax:124us [09m33s] 11157 ab:aaaab=a,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11157 ab:aaaab=a,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11158 solved: rounds:3,rules:2,peak:11,longest:9,steps:3,word:3,work:1367,nodes:46,pairs:43,completionMax:175us [09m33s] 11158 ab:aaaab=a,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11158 ab:aaaab=a,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11159 solved: rounds:3,rules:2,peak:9,longest:11,steps:11,word:14,work:1273,nodes:30,pairs:31,completionMax:134us [09m33s] 11159 ab:aaaab=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11159 ab:aaaab=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11160 solved: rounds:3,rules:2,peak:8,longest:7,steps:2,word:3,work:634,nodes:24,pairs:45,completionMax:105us [09m33s] 11160 ab:aaaab=a,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11160 ab:aaaab=a,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11161 solved: rounds:3,rules:2,peak:8,longest:26,steps:8,word:21,work:4435,nodes:104,pairs:47,completionMax:201us [09m33s] 11161 ab:aaaab=a,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11161 ab:aaaab=a,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11162 solved: rounds:3,rules:2,peak:7,longest:11,steps:3,word:7,work:971,nodes:42,pairs:34,completionMax:128us [09m33s] 11162 ab:aaaab=a,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11162 ab:aaaab=a,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11163 solved: rounds:5,rules:3,peak:4,longest:16,steps:4,word:11,work:228,nodes:40,pairs:5,completionMax:69us [09m33s] 11163 ab:aaaab=a,bbbbb=1 finite:80;idempotents:1,baaa,bbaaaaaa,bbbaaaaaaaaa,aaaaaaaaaaaaaaa,bbbbaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=aaaaaaaaaaaaa,bbbbb=1 [09m33s] # 11164 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:99,nodes:14,pairs:10,completionMax:27us [09m33s] 11164 ab:aaaab=b,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11164 ab:aaaab=b,aaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11165 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:114,nodes:16,pairs:8,completionMax:23us [09m33s] 11165 ab:aaaab=b,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11165 ab:aaaab=b,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11166 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:160,nodes:18,pairs:15,completionMax:40us [09m33s] 11166 ab:aaaab=b,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11166 ab:aaaab=b,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11167 solved: rounds:5,rules:2,peak:7,longest:10,steps:13,word:2,work:2643,nodes:32,pairs:34,completionMax:123us [09m33s] 11167 ab:aaaab=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11167 ab:aaaab=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11168 solved: rounds:3,rules:2,peak:8,longest:12,steps:9,word:9,work:1574,nodes:40,pairs:25,completionMax:106us [09m33s] 11168 ab:aaaab=b,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11168 ab:aaaab=b,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11169 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:110,nodes:18,pairs:7,completionMax:26us [09m33s] 11169 ab:aaaab=b,aabbb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11169 ab:aaaab=b,aabbb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11170 solved: rounds:3,rules:2,peak:11,longest:5,steps:2,word:0,work:705,nodes:22,pairs:32,completionMax:90us [09m33s] 11170 ab:aaaab=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11170 ab:aaaab=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11171 solved: rounds:2,rules:2,peak:6,longest:8,steps:9,word:3,work:787,nodes:36,pairs:17,completionMax:55us [09m33s] 11171 ab:aaaab=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11171 ab:aaaab=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11172 solved: rounds:3,rules:2,peak:6,longest:10,steps:11,word:2,work:696,nodes:34,pairs:15,completionMax:71us [09m33s] 11172 ab:aaaab=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11172 ab:aaaab=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11173 solved: rounds:5,rules:3,peak:9,longest:6,steps:5,word:0,work:1149,nodes:26,pairs:41,completionMax:121us [09m33s] 11173 ab:aaaab=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11173 ab:aaaab=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11174 solved: rounds:3,rules:2,peak:8,longest:9,steps:3,word:2,work:810,nodes:24,pairs:28,completionMax:102us [09m33s] 11174 ab:aaaab=b,abbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11174 ab:aaaab=b,abbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11175 solved: rounds:3,rules:3,peak:7,longest:5,steps:7,word:0,work:579,nodes:24,pairs:22,completionMax:67us [09m33s] 11175 ab:aaaab=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11175 ab:aaaab=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11176 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:0,work:840,nodes:28,pairs:40,completionMax:94us [09m33s] 11176 ab:aaaab=b,abbba=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11176 ab:aaaab=b,abbba=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11177 solved: rounds:4,rules:2,peak:4,longest:16,steps:2,word:11,work:164,nodes:32,pairs:15,completionMax:53us [09m33s] 11177 ab:aaaab=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11177 ab:aaaab=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11178 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:0,work:266,nodes:18,pairs:13,completionMax:48us [09m33s] 11178 ab:aaaab=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11178 ab:aaaab=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11179 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:3,work:1915,nodes:26,pairs:81,completionMax:321us [09m33s] 11179 ab:aaaab=b,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11179 ab:aaaab=b,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11180 solved: rounds:3,rules:2,peak:11,longest:11,steps:36,word:4,work:2693,nodes:42,pairs:30,completionMax:187us [09m33s] 11180 ab:aaaab=b,baaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11180 ab:aaaab=b,baaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11181 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:442,nodes:22,pairs:9,completionMax:53us [09m33s] 11181 ab:aaaab=b,baabb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11181 ab:aaaab=b,baabb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11182 solved: rounds:3,rules:2,peak:10,longest:11,steps:4,word:11,work:2109,nodes:32,pairs:73,completionMax:239us [09m33s] 11182 ab:aaaab=b,babaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11182 ab:aaaab=b,babaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11183 solved: rounds:3,rules:3,peak:4,longest:5,steps:5,word:0,work:242,nodes:18,pairs:8,completionMax:28us [09m33s] 11183 ab:aaaab=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11183 ab:aaaab=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11184 solved: rounds:3,rules:3,peak:9,longest:6,steps:7,word:0,work:1269,nodes:28,pairs:40,completionMax:121us [09m33s] 11184 ab:aaaab=b,babba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11184 ab:aaaab=b,babba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11185 solved: rounds:6,rules:2,peak:5,longest:16,steps:10,word:11,work:815,nodes:32,pairs:12,completionMax:71us [09m33s] 11185 ab:aaaab=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11185 ab:aaaab=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11186 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:3,work:334,nodes:28,pairs:18,completionMax:58us [09m33s] 11186 ab:aaaab=b,bbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11186 ab:aaaab=b,bbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11187 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:473,nodes:24,pairs:14,completionMax:44us [09m33s] 11187 ab:aaaab=b,bbaab=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11187 ab:aaaab=b,bbaab=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11188 solved: rounds:4,rules:3,peak:8,longest:7,steps:6,word:0,work:1478,nodes:26,pairs:46,completionMax:103us [09m33s] 11188 ab:aaaab=b,bbaba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11188 ab:aaaab=b,bbaba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11189 solved: rounds:6,rules:2,peak:5,longest:16,steps:10,word:11,work:872,nodes:32,pairs:19,completionMax:67us [09m33s] 11189 ab:aaaab=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11189 ab:aaaab=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11190 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:0,work:1005,nodes:30,pairs:36,completionMax:89us [09m33s] 11190 ab:aaaab=b,bbbaa=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11190 ab:aaaab=b,bbbaa=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11191 solved: rounds:7,rules:2,peak:5,longest:16,steps:10,word:11,work:932,nodes:32,pairs:20,completionMax:94us [09m33s] 11191 ab:aaaab=b,bbbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11191 ab:aaaab=b,bbbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11192 solved: rounds:3,rules:2,peak:6,longest:16,steps:3,word:11,work:501,nodes:44,pairs:22,completionMax:67us [09m33s] 11192 ab:aaaab=b,bbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11192 ab:aaaab=b,bbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11193 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:18,pairs:1,completionMax:16us [09m33s] 11193 ab:aaaab=b,bbbbb=1 infinite;group:a-aaa,b-bbbb ab - - ab:aaaa=1,bbbbb=1 [09m33s] from: 11193 ab:aaaab=b,bbbbb=1 infinite;group:a-aaa,b-bbbb to: 1719 ab:aaaa=1,bbbbb=1 infinite;group:a-aaa,b-bbbb a=a,b=b [09m33s] # 11194 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:10,pairs:3,completionMax:12us [09m33s] 11194 ab:aaaba=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11194 ab:aaaba=a,aaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11195 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:189,nodes:16,pairs:30,completionMax:55us [09m33s] 11195 ab:aaaba=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11195 ab:aaaba=a,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11196 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:69,nodes:14,pairs:8,completionMax:18us [09m33s] 11196 ab:aaaba=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11196 ab:aaaba=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11197 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:210,nodes:18,pairs:19,completionMax:32us [09m33s] 11197 ab:aaaba=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11197 ab:aaaba=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11198 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:3,work:64,nodes:16,pairs:6,completionMax:29us [09m33s] 11198 ab:aaaba=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11198 ab:aaaba=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11199 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:254,nodes:16,pairs:34,completionMax:61us [09m33s] 11199 ab:aaaba=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11199 ab:aaaba=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11200 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:148,nodes:16,pairs:15,completionMax:24us [09m33s] 11200 ab:aaaba=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11200 ab:aaaba=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11201 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:260,nodes:18,pairs:15,completionMax:35us [09m33s] 11201 ab:aaaba=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11201 ab:aaaba=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11202 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:76,nodes:16,pairs:4,completionMax:23us [09m33s] 11202 ab:aaaba=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11202 ab:aaaba=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11203 solved: rounds:2,rules:2,peak:11,longest:5,steps:3,word:0,work:582,nodes:24,pairs:25,completionMax:76us [09m33s] 11203 ab:aaaba=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11203 ab:aaaba=a,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11204 solved: rounds:3,rules:2,peak:4,longest:7,steps:4,word:3,work:143,nodes:16,pairs:11,completionMax:26us [09m33s] 11204 ab:aaaba=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11204 ab:aaaba=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11205 solved: rounds:3,rules:2,peak:9,longest:7,steps:3,word:3,work:542,nodes:22,pairs:41,completionMax:84us [09m33s] 11205 ab:aaaba=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11205 ab:aaaba=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11206 solved: rounds:4,rules:2,peak:6,longest:11,steps:4,word:7,work:290,nodes:22,pairs:17,completionMax:39us [09m33s] 11206 ab:aaaba=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11206 ab:aaaba=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11207 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:0,work:516,nodes:22,pairs:33,completionMax:72us [09m33s] 11207 ab:aaaba=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11207 ab:aaaba=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11208 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:96,nodes:18,pairs:15,completionMax:24us [09m33s] 11208 ab:aaaba=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11208 ab:aaaba=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11209 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:170,nodes:20,pairs:25,completionMax:42us [09m33s] 11209 ab:aaaba=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11209 ab:aaaba=a,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11210 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:6,work:465,nodes:24,pairs:23,completionMax:59us [09m33s] 11210 ab:aaaba=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11210 ab:aaaba=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11211 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:259,nodes:24,pairs:25,completionMax:61us [09m33s] 11211 ab:aaaba=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11211 ab:aaaba=a,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11212 solved: rounds:3,rules:2,peak:5,longest:7,steps:8,word:6,work:514,nodes:22,pairs:12,completionMax:45us [09m33s] 11212 ab:aaaba=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11212 ab:aaaba=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11213 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:6,work:407,nodes:24,pairs:20,completionMax:60us [09m33s] 11213 ab:aaaba=a,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11213 ab:aaaba=a,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11214 solved: rounds:4,rules:2,peak:8,longest:16,steps:29,word:14,work:3252,nodes:38,pairs:30,completionMax:178us [09m33s] 11214 ab:aaaba=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11214 ab:aaaba=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11215 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:168,nodes:22,pairs:11,completionMax:37us [09m33s] 11215 ab:aaaba=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11215 ab:aaaba=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11216 solved: rounds:4,rules:2,peak:9,longest:12,steps:7,word:6,work:1484,nodes:50,pairs:34,completionMax:151us [09m33s] 11216 ab:aaaba=a,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11216 ab:aaaba=a,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11217 solved: rounds:4,rules:2,peak:8,longest:15,steps:22,word:9,work:1689,nodes:40,pairs:29,completionMax:111us [09m33s] 11217 ab:aaaba=a,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11217 ab:aaaba=a,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11218 solved: rounds:7,rules:2,peak:6,longest:11,steps:6,word:7,work:1027,nodes:24,pairs:21,completionMax:83us [09m33s] 11218 ab:aaaba=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11218 ab:aaaba=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11219 solved: rounds:6,rules:2,peak:6,longest:7,steps:3,word:3,work:398,nodes:20,pairs:22,completionMax:46us [09m33s] 11219 ab:aaaba=a,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11219 ab:aaaba=a,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11220 solved: rounds:7,rules:2,peak:4,longest:11,steps:6,word:7,work:412,nodes:22,pairs:14,completionMax:50us [09m33s] 11220 ab:aaaba=a,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11220 ab:aaaba=a,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11221 solved: rounds:6,rules:2,peak:7,longest:11,steps:10,word:7,work:920,nodes:26,pairs:32,completionMax:74us [09m33s] 11221 ab:aaaba=a,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11221 ab:aaaba=a,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11222 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:18,pairs:0,completionMax:3us [09m33s] 11222 ab:aaaba=a,bbbbb=1 infinite ab - - ab:aaaba=a,bbbbb=1 [09m33s] # 11223 solved: rounds:3,rules:2,peak:11,longest:12,steps:19,word:2,work:7297,nodes:56,pairs:93,completionMax:465us [09m33s] 11223 ab:aaaba=b,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11223 ab:aaaba=b,aaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11224 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:145,nodes:16,pairs:16,completionMax:30us [09m33s] 11224 ab:aaaba=b,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11224 ab:aaaba=b,aabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11225 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:157,nodes:16,pairs:10,completionMax:16us [09m33s] 11225 ab:aaaba=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11225 ab:aaaba=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11226 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:3,work:778,nodes:28,pairs:25,completionMax:89us [09m33s] 11226 ab:aaaba=b,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11226 ab:aaaba=b,aabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11227 solved: rounds:3,rules:3,peak:25,longest:8,steps:7,word:0,work:11804,nodes:76,pairs:83,completionMax:417us [09m33s] 11227 ab:aaaba=b,aabbb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11227 ab:aaaba=b,aabbb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11228 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:495,nodes:22,pairs:33,completionMax:55us [09m33s] 11228 ab:aaaba=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11228 ab:aaaba=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11229 solved: rounds:3,rules:2,peak:13,longest:21,steps:7,word:17,work:7489,nodes:84,pairs:56,completionMax:311us [09m33s] 11229 ab:aaaba=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11229 ab:aaaba=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11230 solved: rounds:3,rules:2,peak:5,longest:8,steps:11,word:2,work:594,nodes:26,pairs:13,completionMax:41us [09m33s] 11230 ab:aaaba=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11230 ab:aaaba=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11231 solved: rounds:3,rules:3,peak:12,longest:6,steps:8,word:0,work:2649,nodes:40,pairs:42,completionMax:161us [09m33s] 11231 ab:aaaba=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11231 ab:aaaba=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11232 solved: rounds:2,rules:2,peak:10,longest:9,steps:5,word:3,work:1512,nodes:32,pairs:34,completionMax:126us [09m33s] 11232 ab:aaaba=b,abbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11232 ab:aaaba=b,abbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11233 solved: rounds:3,rules:3,peak:12,longest:6,steps:7,word:0,work:3299,nodes:40,pairs:63,completionMax:227us [09m33s] 11233 ab:aaaba=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11233 ab:aaaba=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11234 solved: rounds:3,rules:3,peak:18,longest:7,steps:8,word:0,work:7000,nodes:62,pairs:76,completionMax:369us [09m33s] 11234 ab:aaaba=b,abbba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11234 ab:aaaba=b,abbba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11235 solved: rounds:3,rules:2,peak:8,longest:16,steps:10,word:22,work:1470,nodes:46,pairs:29,completionMax:154us [09m33s] 11235 ab:aaaba=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11235 ab:aaaba=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11236 solved: rounds:2,rules:2,peak:10,longest:5,steps:3,word:0,work:783,nodes:20,pairs:42,completionMax:96us [09m33s] 11236 ab:aaaba=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11236 ab:aaaba=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11237 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:181,nodes:18,pairs:11,completionMax:23us [09m33s] 11237 ab:aaaba=b,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11237 ab:aaaba=b,baaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11238 solved: rounds:3,rules:2,peak:11,longest:9,steps:6,word:3,work:2233,nodes:52,pairs:41,completionMax:198us [09m33s] 11238 ab:aaaba=b,baaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11238 ab:aaaba=b,baaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11239 solved: rounds:2,rules:3,peak:11,longest:5,steps:7,word:0,work:1801,nodes:24,pairs:20,completionMax:95us [09m33s] 11239 ab:aaaba=b,baabb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11239 ab:aaaba=b,baabb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11240 solved: rounds:3,rules:2,peak:9,longest:11,steps:10,word:10,work:2347,nodes:44,pairs:28,completionMax:148us [09m33s] 11240 ab:aaaba=b,babaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11240 ab:aaaba=b,babaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11241 solved: rounds:3,rules:3,peak:5,longest:5,steps:7,word:0,work:569,nodes:22,pairs:10,completionMax:39us [09m33s] 11241 ab:aaaba=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11241 ab:aaaba=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11242 solved: rounds:2,rules:3,peak:10,longest:5,steps:11,word:0,work:2013,nodes:26,pairs:30,completionMax:112us [09m33s] 11242 ab:aaaba=b,babba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11242 ab:aaaba=b,babba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11243 solved: rounds:4,rules:2,peak:9,longest:24,steps:15,word:22,work:3093,nodes:58,pairs:32,completionMax:186us [09m33s] 11243 ab:aaaba=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11243 ab:aaaba=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11244 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:3,work:552,nodes:28,pairs:22,completionMax:58us [09m33s] 11244 ab:aaaba=b,bbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11244 ab:aaaba=b,bbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11245 solved: rounds:3,rules:3,peak:15,longest:8,steps:7,word:0,work:4487,nodes:52,pairs:112,completionMax:643us [09m33s] 11245 ab:aaaba=b,bbaab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11245 ab:aaaba=b,bbaab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11246 solved: rounds:3,rules:3,peak:18,longest:8,steps:6,word:0,work:6184,nodes:54,pairs:84,completionMax:341us [09m33s] 11246 ab:aaaba=b,bbaba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11246 ab:aaaba=b,bbaba=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11247 solved: rounds:5,rules:2,peak:7,longest:16,steps:9,word:11,work:1310,nodes:32,pairs:27,completionMax:115us [09m33s] 11247 ab:aaaba=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11247 ab:aaaba=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11248 solved: rounds:3,rules:3,peak:14,longest:8,steps:7,word:0,work:4429,nodes:50,pairs:53,completionMax:184us [09m33s] 11248 ab:aaaba=b,bbbaa=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11248 ab:aaaba=b,bbbaa=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11249 solved: rounds:6,rules:2,peak:10,longest:16,steps:14,word:11,work:5876,nodes:50,pairs:66,completionMax:370us [09m33s] 11249 ab:aaaba=b,bbbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11249 ab:aaaba=b,bbbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11250 solved: rounds:3,rules:2,peak:9,longest:16,steps:9,word:22,work:1785,nodes:50,pairs:32,completionMax:136us [09m33s] 11250 ab:aaaba=b,bbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11250 ab:aaaba=b,bbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11251 solved: rounds:10,rules:3,peak:45,longest:246,steps:324,word:435,work:9599069,nodes:1192,pairs:1864,completionMax:721876us [09m33s] 11251 ab:aaaba=b,bbbbb=1 finite:1220;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbb a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,bbbbb=1 [09m33s] # 11252 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:569,nodes:24,pairs:23,completionMax:61us [09m33s] 11252 ab:aaabb=a,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11252 ab:aaabb=a,aabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11253 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 11253 ab:aaabb=a,aabab=1 infinite ab - - ab:aaabb=a,aabab=1 [09m33s] # 11254 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:86,nodes:16,pairs:17,completionMax:27us [09m33s] 11254 ab:aaabb=a,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11254 ab:aaabb=a,aabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11255 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:14,pairs:4,completionMax:9us [09m33s] 11255 ab:aaabb=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11255 ab:aaabb=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11256 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:488,nodes:26,pairs:20,completionMax:55us [09m33s] 11256 ab:aaabb=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11256 ab:aaabb=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11257 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:0,work:112,nodes:16,pairs:5,completionMax:13us [09m33s] 11257 ab:aaabb=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11257 ab:aaabb=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11258 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:130,nodes:20,pairs:7,completionMax:14us [09m33s] 11258 ab:aaabb=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11258 ab:aaabb=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11259 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 11259 ab:aaabb=a,ababb=1 infinite ab - - ab:aaabb=a,ababb=1 [09m33s] # 11260 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:459,nodes:24,pairs:33,completionMax:51us [09m33s] 11260 ab:aaabb=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11260 ab:aaabb=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11261 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:114,nodes:20,pairs:8,completionMax:17us [09m33s] 11261 ab:aaabb=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11261 ab:aaabb=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11262 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:194,nodes:24,pairs:18,completionMax:30us [09m33s] 11262 ab:aaabb=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11262 ab:aaabb=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11263 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:67,nodes:20,pairs:4,completionMax:16us [09m33s] 11263 ab:aaabb=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11263 ab:aaabb=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11264 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:2,work:469,nodes:26,pairs:18,completionMax:49us [09m33s] 11264 ab:aaabb=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11264 ab:aaabb=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11265 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:119,nodes:18,pairs:13,completionMax:34us [09m33s] 11265 ab:aaabb=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11265 ab:aaabb=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11266 solved: rounds:2,rules:2,peak:9,longest:5,steps:7,word:0,work:533,nodes:20,pairs:19,completionMax:68us [09m33s] 11266 ab:aaabb=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11266 ab:aaabb=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11267 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:242,nodes:18,pairs:12,completionMax:40us [09m33s] 11267 ab:aaabb=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11267 ab:aaabb=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11268 solved: rounds:3,rules:2,peak:14,longest:5,steps:5,word:0,work:2287,nodes:24,pairs:40,completionMax:153us [09m33s] 11268 ab:aaabb=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11268 ab:aaabb=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11269 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:242,nodes:18,pairs:14,completionMax:36us [09m33s] 11269 ab:aaabb=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11269 ab:aaabb=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11270 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:264,nodes:22,pairs:17,completionMax:53us [09m33s] 11270 ab:aaabb=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11270 ab:aaabb=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11271 solved: rounds:4,rules:2,peak:6,longest:7,steps:5,word:2,work:653,nodes:28,pairs:24,completionMax:83us [09m33s] 11271 ab:aaabb=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11271 ab:aaabb=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11272 solved: rounds:2,rules:2,peak:7,longest:5,steps:6,word:0,work:629,nodes:26,pairs:36,completionMax:63us [09m33s] 11272 ab:aaabb=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11272 ab:aaabb=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11273 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:0,work:768,nodes:24,pairs:79,completionMax:184us [09m33s] 11273 ab:aaabb=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11273 ab:aaabb=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11274 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:1834,nodes:28,pairs:51,completionMax:127us [09m33s] 11274 ab:aaabb=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11274 ab:aaabb=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11275 solved: rounds:4,rules:2,peak:6,longest:6,steps:6,word:2,work:789,nodes:22,pairs:24,completionMax:80us [09m33s] 11275 ab:aaabb=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11275 ab:aaabb=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11276 solved: rounds:2,rules:2,peak:10,longest:5,steps:5,word:0,work:631,nodes:28,pairs:30,completionMax:87us [09m33s] 11276 ab:aaabb=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11276 ab:aaabb=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11277 solved: rounds:4,rules:2,peak:10,longest:9,steps:12,word:2,work:4851,nodes:54,pairs:41,completionMax:238us [09m33s] 11277 ab:aaabb=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11277 ab:aaabb=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11278 solved: rounds:3,rules:2,peak:9,longest:8,steps:29,word:9,work:1488,nodes:28,pairs:37,completionMax:85us [09m33s] 11278 ab:aaabb=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11278 ab:aaabb=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11279 solved: rounds:3,rules:3,peak:4,longest:11,steps:2,word:3,work:81,nodes:30,pairs:4,completionMax:19us [09m33s] 11279 ab:aaabb=a,bbbbb=1 finite:55;idempotents:1,bbaa,baaaaaa,bbbbaaaa,aaaaaaaaaa,bbbaaaaaaaa a/b - - ab:aaaaaaaaaaa=a,ab=aaaaa,bbbbb=1 [09m33s] # 11280 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:601,nodes:20,pairs:42,completionMax:89us [09m33s] 11280 ab:aaabb=b,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11280 ab:aaabb=b,aabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11281 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [09m33s] 11281 ab:aaabb=b,aabab=1 infinite ab - - ab:aaabb=b,aabab=1 [09m33s] # 11282 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:133,nodes:16,pairs:13,completionMax:35us [09m33s] 11282 ab:aaabb=b,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11282 ab:aaabb=b,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11283 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:3,work:55,nodes:16,pairs:7,completionMax:21us [09m33s] 11283 ab:aaabb=b,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11283 ab:aaabb=b,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11284 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:0,work:708,nodes:22,pairs:43,completionMax:98us [09m33s] 11284 ab:aaabb=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11284 ab:aaabb=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11285 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:124,nodes:16,pairs:5,completionMax:19us [09m33s] 11285 ab:aaabb=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11285 ab:aaabb=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11286 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:242,nodes:22,pairs:10,completionMax:26us [09m33s] 11286 ab:aaabb=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11286 ab:aaabb=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11287 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 11287 ab:aaabb=b,ababb=1 infinite ab - - ab:aaabb=b,ababb=1 [09m33s] # 11288 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:522,nodes:22,pairs:31,completionMax:76us [09m33s] 11288 ab:aaabb=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11288 ab:aaabb=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11289 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:6,work:151,nodes:20,pairs:12,completionMax:29us [09m33s] 11289 ab:aaabb=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11289 ab:aaabb=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11290 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:557,nodes:24,pairs:26,completionMax:71us [09m33s] 11290 ab:aaabb=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11290 ab:aaabb=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11291 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:14,work:439,nodes:22,pairs:25,completionMax:63us [09m33s] 11291 ab:aaabb=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11291 ab:aaabb=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11292 solved: rounds:2,rules:2,peak:10,longest:5,steps:4,word:0,work:370,nodes:20,pairs:21,completionMax:74us [09m33s] 11292 ab:aaabb=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11292 ab:aaabb=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11293 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:110,nodes:18,pairs:14,completionMax:31us [09m33s] 11293 ab:aaabb=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11293 ab:aaabb=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11294 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:368,nodes:24,pairs:16,completionMax:44us [09m33s] 11294 ab:aaabb=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11294 ab:aaabb=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11295 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:3,work:303,nodes:22,pairs:7,completionMax:31us [09m33s] 11295 ab:aaabb=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11295 ab:aaabb=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11296 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:0,work:670,nodes:22,pairs:51,completionMax:85us [09m33s] 11296 ab:aaabb=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11296 ab:aaabb=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11297 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:3,work:210,nodes:20,pairs:11,completionMax:23us [09m33s] 11297 ab:aaabb=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11297 ab:aaabb=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11298 solved: rounds:2,rules:2,peak:7,longest:7,steps:11,word:3,work:936,nodes:26,pairs:17,completionMax:71us [09m33s] 11298 ab:aaabb=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11298 ab:aaabb=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11299 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:7,work:727,nodes:32,pairs:31,completionMax:96us [09m33s] 11299 ab:aaabb=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11299 ab:aaabb=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11300 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:512,nodes:22,pairs:31,completionMax:77us [09m33s] 11300 ab:aaabb=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11300 ab:aaabb=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11301 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:3,work:443,nodes:24,pairs:28,completionMax:68us [09m33s] 11301 ab:aaabb=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11301 ab:aaabb=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11302 solved: rounds:3,rules:2,peak:9,longest:7,steps:3,word:3,work:754,nodes:24,pairs:49,completionMax:138us [09m33s] 11302 ab:aaabb=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11302 ab:aaabb=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11303 solved: rounds:4,rules:2,peak:8,longest:16,steps:11,word:14,work:1686,nodes:40,pairs:37,completionMax:106us [09m33s] 11303 ab:aaabb=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11303 ab:aaabb=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11304 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:3,work:628,nodes:24,pairs:26,completionMax:78us [09m33s] 11304 ab:aaabb=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11304 ab:aaabb=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11305 solved: rounds:4,rules:2,peak:7,longest:16,steps:11,word:14,work:1370,nodes:40,pairs:26,completionMax:115us [09m33s] 11305 ab:aaabb=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11305 ab:aaabb=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11306 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:7,work:886,nodes:22,pairs:28,completionMax:80us [09m33s] 11306 ab:aaabb=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11306 ab:aaabb=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11307 solved: rounds:5,rules:2,peak:5,longest:15,steps:4,word:11,work:360,nodes:30,pairs:20,completionMax:66us [09m33s] 11307 ab:aaabb=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11307 ab:aaabb=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [09m33s] # 11308 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:179,nodes:14,pairs:18,completionMax:51us [09m33s] 11308 ab:aabaa=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11308 ab:aabaa=a,aabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11309 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:367,nodes:18,pairs:31,completionMax:83us [09m33s] 11309 ab:aabaa=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11309 ab:aabaa=a,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11310 solved: rounds:6,rules:2,peak:5,longest:7,steps:5,word:3,work:334,nodes:18,pairs:21,completionMax:66us [09m33s] 11310 ab:aabaa=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11310 ab:aabaa=a,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11311 solved: rounds:1,rules:2,peak:6,longest:5,steps:4,word:0,work:174,nodes:16,pairs:6,completionMax:28us [09m33s] 11311 ab:aabaa=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11311 ab:aabaa=a,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11312 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:84,nodes:16,pairs:9,completionMax:17us [09m33s] 11312 ab:aabaa=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11312 ab:aabaa=a,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11313 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:203,nodes:20,pairs:12,completionMax:21us [09m33s] 11313 ab:aabaa=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11313 ab:aabaa=a,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11314 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:3,work:211,nodes:16,pairs:16,completionMax:29us [09m33s] 11314 ab:aabaa=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11314 ab:aabaa=a,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11315 solved: rounds:3,rules:2,peak:5,longest:7,steps:7,word:6,work:399,nodes:18,pairs:22,completionMax:40us [09m33s] 11315 ab:aabaa=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11315 ab:aabaa=a,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11316 solved: rounds:5,rules:2,peak:7,longest:7,steps:6,word:3,work:601,nodes:24,pairs:24,completionMax:49us [09m33s] 11316 ab:aabaa=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11316 ab:aabaa=a,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11317 solved: rounds:5,rules:2,peak:5,longest:11,steps:9,word:7,work:830,nodes:22,pairs:21,completionMax:52us [09m33s] 11317 ab:aabaa=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11317 ab:aabaa=a,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11318 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:267,nodes:22,pairs:26,completionMax:61us [09m33s] 11318 ab:aabaa=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11318 ab:aabaa=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11319 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:150,nodes:18,pairs:18,completionMax:33us [09m33s] 11319 ab:aabaa=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11319 ab:aabaa=a,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11320 solved: rounds:3,rules:2,peak:6,longest:7,steps:7,word:6,work:520,nodes:24,pairs:29,completionMax:81us [09m33s] 11320 ab:aabaa=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11320 ab:aabaa=a,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11321 solved: rounds:5,rules:2,peak:5,longest:7,steps:5,word:6,work:304,nodes:24,pairs:14,completionMax:48us [09m33s] 11321 ab:aabaa=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11321 ab:aabaa=a,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11322 solved: rounds:4,rules:2,peak:10,longest:11,steps:10,word:7,work:2478,nodes:42,pairs:79,completionMax:232us [09m33s] 11322 ab:aabaa=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11322 ab:aabaa=a,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11323 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:257,nodes:22,pairs:19,completionMax:43us [09m33s] 11323 ab:aabaa=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11323 ab:aabaa=a,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11324 solved: rounds:6,rules:2,peak:8,longest:11,steps:7,word:7,work:1700,nodes:32,pairs:40,completionMax:115us [09m33s] 11324 ab:aabaa=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11324 ab:aabaa=a,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11325 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:117,nodes:22,pairs:2,completionMax:15us [09m33s] 11325 ab:aabaa=a,bbbbb=1 infinite ab - - ab:abaa=aaba,aaaba=a,bbbbb=1 [09m33s] # 11326 solved: rounds:3,rules:2,peak:13,longest:11,steps:16,word:3,work:6018,nodes:50,pairs:52,completionMax:252us [09m33s] 11326 ab:aabaa=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11326 ab:aabaa=b,aabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11327 solved: rounds:3,rules:3,peak:16,longest:12,steps:24,word:19,work:10674,nodes:44,pairs:146,completionMax:884us [09m33s] 11327 ab:aabaa=b,aabba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 11327 ab:aabaa=b,aabba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 11328 solved: rounds:3,rules:3,peak:9,longest:5,steps:3,word:0,work:870,nodes:32,pairs:27,completionMax:72us [09m33s] 11328 ab:aabaa=b,aabbb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11328 ab:aabaa=b,aabbb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11329 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:133,nodes:18,pairs:17,completionMax:27us [09m33s] 11329 ab:aabaa=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11329 ab:aabaa=b,abaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11330 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:192,nodes:16,pairs:13,completionMax:30us [09m33s] 11330 ab:aabaa=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11330 ab:aabaa=b,abaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11331 solved: rounds:3,rules:2,peak:5,longest:8,steps:8,word:2,work:568,nodes:24,pairs:16,completionMax:41us [09m33s] 11331 ab:aabaa=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 11331 ab:aabaa=b,ababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 11332 solved: rounds:3,rules:3,peak:10,longest:7,steps:8,word:0,work:2147,nodes:40,pairs:46,completionMax:171us [09m33s] 11332 ab:aabaa=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11332 ab:aabaa=b,ababb=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11333 solved: rounds:2,rules:3,peak:11,longest:5,steps:5,word:0,work:1865,nodes:30,pairs:17,completionMax:122us [09m33s] 11333 ab:aabaa=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11333 ab:aabaa=b,abbab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11334 solved: rounds:2,rules:3,peak:9,longest:5,steps:3,word:0,work:978,nodes:34,pairs:30,completionMax:104us [09m33s] 11334 ab:aabaa=b,abbba=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11334 ab:aabaa=b,abbba=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11335 solved: rounds:4,rules:2,peak:8,longest:24,steps:9,word:22,work:3376,nodes:62,pairs:31,completionMax:238us [09m33s] 11335 ab:aabaa=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11335 ab:aabaa=b,abbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11336 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:161,nodes:18,pairs:15,completionMax:34us [09m33s] 11336 ab:aabaa=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11336 ab:aabaa=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11337 solved: rounds:3,rules:3,peak:7,longest:12,steps:27,word:19,work:1936,nodes:34,pairs:20,completionMax:111us [09m33s] 11337 ab:aabaa=b,baaab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 11337 ab:aabaa=b,baaab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 11338 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:469,nodes:26,pairs:23,completionMax:66us [09m33s] 11338 ab:aabaa=b,baabb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 11338 ab:aabaa=b,baabb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 11339 solved: rounds:4,rules:3,peak:4,longest:5,steps:5,word:0,work:327,nodes:18,pairs:12,completionMax:52us [09m33s] 11339 ab:aabaa=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 11339 ab:aabaa=b,babab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 11340 solved: rounds:6,rules:2,peak:7,longest:16,steps:9,word:11,work:1185,nodes:32,pairs:19,completionMax:75us [09m33s] 11340 ab:aabaa=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11340 ab:aabaa=b,babbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11341 solved: rounds:3,rules:3,peak:13,longest:14,steps:25,word:16,work:14515,nodes:68,pairs:81,completionMax:416us [09m33s] 11341 ab:aabaa=b,bbaaa=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 11341 ab:aabaa=b,bbaaa=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 11342 solved: rounds:5,rules:2,peak:8,longest:16,steps:9,word:11,work:1694,nodes:34,pairs:26,completionMax:115us [09m33s] 11342 ab:aabaa=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 11342 ab:aabaa=b,bbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 11343 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:0,work:235,nodes:26,pairs:9,completionMax:30us [09m33s] 11343 ab:aabaa=b,bbbbb=1 infinite;group:a-aaa,b-bbbb ab - - ab:baa=aab,aaaa=1,bbbbb=1 [09m33s] # 11344 solved: rounds:4,rules:3,peak:14,longest:7,steps:4,word:1,work:1353,nodes:36,pairs:52,completionMax:132us [09m33s] 11344 ab:aabab=a,aabba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11344 ab:aabab=a,aabba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11345 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [09m33s] 11345 ab:aabab=a,aabbb=1 infinite ab - - ab:aabab=a,aabbb=1 [09m33s] # 11346 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:2,work:452,nodes:24,pairs:20,completionMax:60us [09m33s] 11346 ab:aabab=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11346 ab:aabab=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11347 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:143,nodes:16,pairs:13,completionMax:35us [09m33s] 11347 ab:aabab=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11347 ab:aabab=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11348 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:153,nodes:18,pairs:25,completionMax:25us [09m33s] 11348 ab:aabab=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11348 ab:aabab=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11349 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:35,nodes:16,pairs:7,completionMax:13us [09m33s] 11349 ab:aabab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11349 ab:aabab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11350 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:3,work:705,nodes:26,pairs:20,completionMax:68us [09m33s] 11350 ab:aabab=a,abbaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11350 ab:aabab=a,abbaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11351 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:153,nodes:20,pairs:8,completionMax:20us [09m33s] 11351 ab:aabab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11351 ab:aabab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11352 solved: rounds:4,rules:3,peak:10,longest:5,steps:4,word:2,work:1025,nodes:32,pairs:47,completionMax:117us [09m33s] 11352 ab:aabab=a,abbba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11352 ab:aabab=a,abbba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11353 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:2,work:114,nodes:26,pairs:4,completionMax:28us [09m33s] 11353 ab:aabab=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11353 ab:aabab=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11354 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:1,work:303,nodes:30,pairs:23,completionMax:74us [09m33s] 11354 ab:aabab=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11354 ab:aabab=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11355 solved: rounds:2,rules:3,peak:5,longest:7,steps:5,word:3,work:307,nodes:22,pairs:10,completionMax:41us [09m33s] 11355 ab:aabab=a,baaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11355 ab:aabab=a,baaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11356 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:130,nodes:18,pairs:12,completionMax:30us [09m33s] 11356 ab:aabab=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11356 ab:aabab=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11357 solved: rounds:5,rules:3,peak:12,longest:6,steps:6,word:2,work:2682,nodes:34,pairs:82,completionMax:261us [09m33s] 11357 ab:aabab=a,baabb=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11357 ab:aabab=a,baabb=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11358 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:474,nodes:22,pairs:27,completionMax:66us [09m33s] 11358 ab:aabab=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11358 ab:aabab=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11359 solved: rounds:3,rules:2,peak:5,longest:5,steps:7,word:0,work:266,nodes:18,pairs:15,completionMax:37us [09m33s] 11359 ab:aabab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11359 ab:aabab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11360 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:200,nodes:22,pairs:20,completionMax:37us [09m33s] 11360 ab:aabab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11360 ab:aabab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11361 solved: rounds:3,rules:2,peak:6,longest:8,steps:8,word:3,work:721,nodes:28,pairs:21,completionMax:62us [09m33s] 11361 ab:aabab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11361 ab:aabab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11362 solved: rounds:3,rules:3,peak:9,longest:5,steps:5,word:4,work:808,nodes:26,pairs:47,completionMax:98us [09m33s] 11362 ab:aabab=a,bbaaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11362 ab:aabab=a,bbaaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11363 solved: rounds:4,rules:3,peak:8,longest:5,steps:4,word:1,work:868,nodes:26,pairs:56,completionMax:138us [09m33s] 11363 ab:aabab=a,bbaab=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11363 ab:aabab=a,bbaab=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11364 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:159,nodes:22,pairs:10,completionMax:29us [09m33s] 11364 ab:aabab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11364 ab:aabab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11365 solved: rounds:4,rules:2,peak:7,longest:6,steps:4,word:2,work:1080,nodes:28,pairs:27,completionMax:67us [09m33s] 11365 ab:aabab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11365 ab:aabab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11366 solved: rounds:4,rules:3,peak:8,longest:6,steps:4,word:1,work:768,nodes:30,pairs:43,completionMax:80us [09m33s] 11366 ab:aabab=a,bbbaa=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11366 ab:aabab=a,bbbaa=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11367 solved: rounds:4,rules:2,peak:9,longest:9,steps:9,word:3,work:3119,nodes:52,pairs:41,completionMax:205us [09m33s] 11367 ab:aabab=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11367 ab:aabab=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11368 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:608,nodes:30,pairs:28,completionMax:67us [09m33s] 11368 ab:aabab=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11368 ab:aabab=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11369 solved: rounds:4,rules:6,peak:6,longest:10,steps:3,word:3,work:371,nodes:40,pairs:8,completionMax:35us [09m33s] 11369 ab:aabab=a,bbbbb=1 infinite a/b - - ab:ababa=a,aabab=a,abbb=aabaaba,abbaba=ab,aabaabaaba=abb,bbbbb=1 [09m33s] # 11370 solved: rounds:5,rules:2,peak:11,longest:6,steps:6,word:0,work:1681,nodes:34,pairs:36,completionMax:104us [09m33s] 11370 ab:aabab=b,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11370 ab:aabab=b,aabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11371 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [09m33s] 11371 ab:aabab=b,aabbb=1 infinite ab - - ab:aabab=b,aabbb=1 [09m33s] # 11372 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:794,nodes:22,pairs:36,completionMax:70us [09m33s] 11372 ab:aabab=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11372 ab:aabab=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11373 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:290,nodes:22,pairs:19,completionMax:30us [09m33s] 11373 ab:aabab=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11373 ab:aabab=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11374 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:128,nodes:18,pairs:16,completionMax:34us [09m33s] 11374 ab:aabab=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11374 ab:aabab=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11375 solved: rounds:3,rules:2,peak:7,longest:11,steps:6,word:6,work:506,nodes:30,pairs:17,completionMax:75us [09m33s] 11375 ab:aabab=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11375 ab:aabab=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11376 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:654,nodes:24,pairs:30,completionMax:81us [09m33s] 11376 ab:aabab=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11376 ab:aabab=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11377 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:3,work:498,nodes:24,pairs:29,completionMax:83us [09m33s] 11377 ab:aabab=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11377 ab:aabab=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11378 solved: rounds:4,rules:2,peak:12,longest:7,steps:4,word:3,work:1041,nodes:30,pairs:32,completionMax:85us [09m33s] 11378 ab:aabab=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11378 ab:aabab=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11379 solved: rounds:4,rules:2,peak:9,longest:11,steps:10,word:7,work:1433,nodes:34,pairs:52,completionMax:152us [09m33s] 11379 ab:aabab=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11379 ab:aabab=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11380 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:522,nodes:18,pairs:29,completionMax:62us [09m33s] 11380 ab:aabab=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11380 ab:aabab=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11381 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:305,nodes:18,pairs:18,completionMax:37us [09m33s] 11381 ab:aabab=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11381 ab:aabab=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11382 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:137,nodes:18,pairs:17,completionMax:41us [09m33s] 11382 ab:aabab=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11382 ab:aabab=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11383 solved: rounds:3,rules:2,peak:6,longest:7,steps:6,word:6,work:380,nodes:22,pairs:22,completionMax:56us [09m33s] 11383 ab:aabab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11383 ab:aabab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11384 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:348,nodes:18,pairs:22,completionMax:57us [09m33s] 11384 ab:aabab=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11384 ab:aabab=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11385 solved: rounds:3,rules:2,peak:5,longest:8,steps:16,word:6,work:432,nodes:24,pairs:10,completionMax:67us [09m33s] 11385 ab:aabab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11385 ab:aabab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11386 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:352,nodes:22,pairs:21,completionMax:64us [09m33s] 11386 ab:aabab=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11386 ab:aabab=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11387 solved: rounds:4,rules:2,peak:9,longest:11,steps:6,word:7,work:1016,nodes:22,pairs:27,completionMax:109us [09m33s] 11387 ab:aabab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11387 ab:aabab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11388 solved: rounds:3,rules:2,peak:11,longest:5,steps:3,word:0,work:492,nodes:22,pairs:38,completionMax:87us [09m33s] 11388 ab:aabab=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11388 ab:aabab=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11389 solved: rounds:3,rules:2,peak:10,longest:11,steps:12,word:9,work:1816,nodes:36,pairs:27,completionMax:142us [09m33s] 11389 ab:aabab=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11389 ab:aabab=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11390 solved: rounds:4,rules:2,peak:8,longest:7,steps:6,word:9,work:2415,nodes:26,pairs:62,completionMax:186us [09m33s] 11390 ab:aabab=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11390 ab:aabab=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11391 solved: rounds:7,rules:2,peak:7,longest:11,steps:8,word:7,work:1317,nodes:22,pairs:30,completionMax:104us [09m33s] 11391 ab:aabab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11391 ab:aabab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11392 solved: rounds:4,rules:2,peak:9,longest:11,steps:11,word:9,work:2416,nodes:32,pairs:53,completionMax:161us [09m33s] 11392 ab:aabab=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11392 ab:aabab=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11393 solved: rounds:7,rules:2,peak:4,longest:11,steps:8,word:7,work:657,nodes:22,pairs:18,completionMax:59us [09m33s] 11393 ab:aabab=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11393 ab:aabab=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11394 solved: rounds:6,rules:2,peak:8,longest:11,steps:6,word:7,work:2042,nodes:28,pairs:52,completionMax:169us [09m33s] 11394 ab:aabab=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11394 ab:aabab=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11395 solved: rounds:8,rules:2,peak:8,longest:15,steps:8,word:11,work:1356,nodes:34,pairs:25,completionMax:192us [09m33s] 11395 ab:aabab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11395 ab:aabab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [09m33s] # 11396 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:31,nodes:10,pairs:4,completionMax:12us [09m33s] 11396 ab:aabba=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11396 ab:aabba=a,aabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11397 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:384,nodes:26,pairs:21,completionMax:60us [09m33s] 11397 ab:aabba=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11397 ab:aabba=a,abaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11398 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:171,nodes:20,pairs:16,completionMax:36us [09m33s] 11398 ab:aabba=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11398 ab:aabba=a,abaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11399 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:169,nodes:18,pairs:8,completionMax:29us [09m33s] 11399 ab:aabba=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11399 ab:aabba=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11400 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:16,pairs:1,completionMax:7us [09m33s] 11400 ab:aabba=a,ababb=1 infinite ab - - ab:aabb=1,ababb=1 [09m33s] # 11401 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:136,nodes:20,pairs:15,completionMax:41us [09m33s] 11401 ab:aabba=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11401 ab:aabba=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11402 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:121,nodes:18,pairs:8,completionMax:22us [09m33s] 11402 ab:aabba=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11402 ab:aabba=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11403 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:186,nodes:22,pairs:17,completionMax:37us [09m33s] 11403 ab:aabba=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11403 ab:aabba=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11404 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:39,nodes:16,pairs:5,completionMax:14us [09m33s] 11404 ab:aabba=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11404 ab:aabba=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11405 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:2,work:234,nodes:28,pairs:16,completionMax:50us [09m33s] 11405 ab:aabba=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11405 ab:aabba=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11406 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:334,nodes:20,pairs:32,completionMax:58us [09m33s] 11406 ab:aabba=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11406 ab:aabba=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11407 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:399,nodes:22,pairs:22,completionMax:53us [09m33s] 11407 ab:aabba=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11407 ab:aabba=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11408 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:164,nodes:18,pairs:17,completionMax:33us [09m33s] 11408 ab:aabba=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11408 ab:aabba=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11409 solved: rounds:3,rules:2,peak:12,longest:5,steps:3,word:0,work:619,nodes:24,pairs:42,completionMax:84us [09m33s] 11409 ab:aabba=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11409 ab:aabba=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11410 solved: rounds:3,rules:2,peak:5,longest:5,steps:6,word:0,work:298,nodes:18,pairs:15,completionMax:35us [09m33s] 11410 ab:aabba=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11410 ab:aabba=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11411 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:169,nodes:24,pairs:18,completionMax:41us [09m33s] 11411 ab:aabba=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11411 ab:aabba=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11412 solved: rounds:3,rules:2,peak:8,longest:10,steps:5,word:2,work:1048,nodes:34,pairs:23,completionMax:118us [09m33s] 11412 ab:aabba=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11412 ab:aabba=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11413 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:258,nodes:22,pairs:19,completionMax:45us [09m33s] 11413 ab:aabba=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11413 ab:aabba=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11414 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:185,nodes:18,pairs:16,completionMax:43us [09m33s] 11414 ab:aabba=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11414 ab:aabba=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11415 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:167,nodes:22,pairs:16,completionMax:45us [09m33s] 11415 ab:aabba=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11415 ab:aabba=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11416 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:2,work:675,nodes:28,pairs:18,completionMax:71us [09m33s] 11416 ab:aabba=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11416 ab:aabba=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11417 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:254,nodes:22,pairs:17,completionMax:49us [09m33s] 11417 ab:aabba=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11417 ab:aabba=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11418 solved: rounds:5,rules:2,peak:5,longest:6,steps:7,word:1,work:522,nodes:20,pairs:17,completionMax:45us [09m33s] 11418 ab:aabba=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11418 ab:aabba=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11419 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:172,nodes:22,pairs:13,completionMax:26us [09m33s] 11419 ab:aabba=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11419 ab:aabba=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11420 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:18,pairs:0,completionMax:5us [09m33s] 11420 ab:aabba=a,bbbbb=1 infinite ab - - ab:aabba=a,bbbbb=1 [09m33s] # 11421 solved: rounds:3,rules:2,peak:11,longest:7,steps:12,word:3,work:5167,nodes:34,pairs:101,completionMax:403us [09m33s] 11421 ab:aabba=b,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11421 ab:aabba=b,aabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11422 solved: rounds:2,rules:2,peak:11,longest:5,steps:9,word:0,work:1115,nodes:28,pairs:41,completionMax:147us [09m33s] 11422 ab:aabba=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11422 ab:aabba=b,abaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11423 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:663,nodes:22,pairs:20,completionMax:91us [09m33s] 11423 ab:aabba=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11423 ab:aabba=b,abaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11424 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:0,work:296,nodes:18,pairs:12,completionMax:41us [09m33s] 11424 ab:aabba=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11424 ab:aabba=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11425 solved: rounds:3,rules:2,peak:16,longest:8,steps:8,word:6,work:8661,nodes:78,pairs:113,completionMax:430us [09m33s] 11425 ab:aabba=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11425 ab:aabba=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11426 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:205,nodes:18,pairs:17,completionMax:50us [09m33s] 11426 ab:aabba=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11426 ab:aabba=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11427 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:6,work:250,nodes:22,pairs:19,completionMax:37us [09m33s] 11427 ab:aabba=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11427 ab:aabba=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11428 solved: rounds:3,rules:2,peak:14,longest:8,steps:5,word:3,work:2675,nodes:46,pairs:69,completionMax:264us [09m33s] 11428 ab:aabba=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11428 ab:aabba=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11429 solved: rounds:5,rules:2,peak:10,longest:11,steps:7,word:7,work:2959,nodes:52,pairs:84,completionMax:276us [09m33s] 11429 ab:aabba=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11429 ab:aabba=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11430 solved: rounds:2,rules:2,peak:11,longest:5,steps:7,word:0,work:785,nodes:22,pairs:31,completionMax:111us [09m33s] 11430 ab:aabba=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11430 ab:aabba=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11431 solved: rounds:2,rules:2,peak:12,longest:5,steps:4,word:0,work:908,nodes:18,pairs:25,completionMax:108us [09m33s] 11431 ab:aabba=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11431 ab:aabba=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11432 solved: rounds:3,rules:2,peak:13,longest:5,steps:6,word:0,work:1174,nodes:28,pairs:56,completionMax:151us [09m33s] 11432 ab:aabba=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11432 ab:aabba=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11433 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:6,work:515,nodes:22,pairs:22,completionMax:66us [09m33s] 11433 ab:aabba=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11433 ab:aabba=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11434 solved: rounds:3,rules:2,peak:18,longest:5,steps:7,word:0,work:3978,nodes:28,pairs:32,completionMax:246us [09m33s] 11434 ab:aabba=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11434 ab:aabba=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11435 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:3,work:317,nodes:24,pairs:14,completionMax:52us [09m33s] 11435 ab:aabba=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11435 ab:aabba=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11436 solved: rounds:3,rules:2,peak:8,longest:7,steps:7,word:3,work:1008,nodes:22,pairs:42,completionMax:113us [09m33s] 11436 ab:aabba=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11436 ab:aabba=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11437 solved: rounds:5,rules:2,peak:10,longest:11,steps:5,word:7,work:1766,nodes:32,pairs:72,completionMax:263us [09m33s] 11437 ab:aabba=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11437 ab:aabba=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11438 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:729,nodes:28,pairs:31,completionMax:101us [09m33s] 11438 ab:aabba=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11438 ab:aabba=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11439 solved: rounds:3,rules:2,peak:10,longest:8,steps:5,word:6,work:965,nodes:32,pairs:27,completionMax:127us [09m33s] 11439 ab:aabba=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11439 ab:aabba=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11440 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:6,work:402,nodes:20,pairs:20,completionMax:65us [09m33s] 11440 ab:aabba=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11440 ab:aabba=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11441 solved: rounds:4,rules:2,peak:8,longest:11,steps:5,word:7,work:763,nodes:22,pairs:30,completionMax:101us [09m33s] 11441 ab:aabba=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11441 ab:aabba=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11442 solved: rounds:3,rules:2,peak:13,longest:11,steps:26,word:9,work:4602,nodes:46,pairs:39,completionMax:259us [09m33s] 11442 ab:aabba=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11442 ab:aabba=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11443 solved: rounds:4,rules:2,peak:8,longest:16,steps:11,word:14,work:2526,nodes:40,pairs:28,completionMax:138us [09m33s] 11443 ab:aabba=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11443 ab:aabba=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11444 solved: rounds:3,rules:2,peak:13,longest:11,steps:9,word:14,work:4105,nodes:40,pairs:54,completionMax:228us [09m33s] 11444 ab:aabba=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11444 ab:aabba=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11445 solved: rounds:9,rules:8,peak:50,longest:20,steps:23,word:26,work:230692,nodes:228,pairs:999,completionMax:11348us [09m33s] 11445 ab:aabba=b,bbbbb=1 finite:165;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-aabaaaabaaa a/b - - ab:aaaaaaaaaaaaaaa=1,aaaaab=baaaaa,bb=aaabaaaaaaaaa,bab=abaaaaaaaaaaaa,abaab=baaaabaaaaaaaaaaaaaa,abaaab=baabaa,aaabaaaab=baaabaaaa,baabaaaab=aaaaaaaaaaaa [09m33s] # 11446 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:16,nodes:16,pairs:4,completionMax:9us [09m33s] 11446 ab:aabbb=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11446 ab:aabbb=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11447 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:287,nodes:18,pairs:18,completionMax:39us [09m33s] 11447 ab:aabbb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11447 ab:aabbb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11448 solved: rounds:4,rules:3,peak:4,longest:6,steps:4,word:2,work:74,nodes:20,pairs:6,completionMax:20us [09m33s] 11448 ab:aabbb=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa a/b - - ab:aaaaaa=a,ab=aaaa,bbbbb=1 [09m33s] from: 11448 ab:aabbb=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa to: 4918 ab:aab=bb,aaaaa=1 finite:30;idempotents:1,bba,baaa,bbbbb,bbbbaa,bbbaaaa anti:a=b,b=a [09m33s] # 11449 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:16,nodes:16,pairs:4,completionMax:11us [09m33s] 11449 ab:aabbb=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11449 ab:aabbb=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11450 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:2,work:407,nodes:24,pairs:16,completionMax:48us [09m33s] 11450 ab:aabbb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11450 ab:aabbb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11451 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:6,work:202,nodes:26,pairs:13,completionMax:49us [09m33s] 11451 ab:aabbb=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 11451 ab:aabbb=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 11452 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:91,nodes:18,pairs:9,completionMax:22us [09m33s] 11452 ab:abaaa=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11452 ab:abaaa=a,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11453 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:143,nodes:22,pairs:14,completionMax:37us [09m33s] 11453 ab:abaaa=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 11453 ab:abaaa=b,baaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 11454 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:192,nodes:16,pairs:26,completionMax:39us [09m33s] 11454 ab:abaab=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11454 ab:abaab=a,ababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11455 solved: rounds:3,rules:2,peak:11,longest:5,steps:4,word:0,work:778,nodes:18,pairs:24,completionMax:94us [09m33s] 11455 ab:abaab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11455 ab:abaab=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11456 solved: rounds:2,rules:2,peak:9,longest:5,steps:7,word:0,work:583,nodes:28,pairs:32,completionMax:95us [09m33s] 11456 ab:abaab=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11456 ab:abaab=a,abbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11457 solved: rounds:2,rules:2,peak:7,longest:5,steps:5,word:0,work:882,nodes:22,pairs:29,completionMax:80us [09m33s] 11457 ab:abaab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11457 ab:abaab=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11458 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:598,nodes:24,pairs:24,completionMax:97us [09m33s] 11458 ab:abaab=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11458 ab:abaab=a,abbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11459 solved: rounds:3,rules:2,peak:5,longest:8,steps:4,word:3,work:345,nodes:28,pairs:12,completionMax:54us [09m33s] 11459 ab:abaab=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11459 ab:abaab=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11460 solved: rounds:3,rules:2,peak:6,longest:7,steps:1,word:1,work:320,nodes:26,pairs:22,completionMax:63us [09m33s] 11460 ab:abaab=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11460 ab:abaab=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11461 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:597,nodes:22,pairs:25,completionMax:76us [09m33s] 11461 ab:abaab=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11461 ab:abaab=a,baaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11462 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:202,nodes:18,pairs:13,completionMax:58us [09m33s] 11462 ab:abaab=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11462 ab:abaab=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11463 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:115,nodes:18,pairs:16,completionMax:29us [09m33s] 11463 ab:abaab=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11463 ab:abaab=a,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11464 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:191,nodes:22,pairs:16,completionMax:39us [09m33s] 11464 ab:abaab=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11464 ab:abaab=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11465 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:281,nodes:22,pairs:12,completionMax:33us [09m33s] 11465 ab:abaab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11465 ab:abaab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11466 solved: rounds:2,rules:2,peak:11,longest:5,steps:5,word:0,work:757,nodes:28,pairs:29,completionMax:113us [09m33s] 11466 ab:abaab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11466 ab:abaab=a,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11467 solved: rounds:3,rules:2,peak:10,longest:7,steps:5,word:3,work:1351,nodes:34,pairs:44,completionMax:144us [09m33s] 11467 ab:abaab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11467 ab:abaab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11468 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:824,nodes:28,pairs:38,completionMax:96us [09m33s] 11468 ab:abaab=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11468 ab:abaab=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11469 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:450,nodes:26,pairs:25,completionMax:67us [09m33s] 11469 ab:abaab=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11469 ab:abaab=a,bbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11470 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:604,nodes:24,pairs:32,completionMax:83us [09m33s] 11470 ab:abaab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11470 ab:abaab=a,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11471 solved: rounds:3,rules:2,peak:10,longest:7,steps:6,word:2,work:1641,nodes:34,pairs:47,completionMax:139us [09m33s] 11471 ab:abaab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11471 ab:abaab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11472 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:697,nodes:28,pairs:32,completionMax:67us [09m33s] 11472 ab:abaab=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11472 ab:abaab=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11473 solved: rounds:3,rules:2,peak:8,longest:9,steps:14,word:2,work:2326,nodes:34,pairs:41,completionMax:119us [09m33s] 11473 ab:abaab=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11473 ab:abaab=a,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11474 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:615,nodes:26,pairs:38,completionMax:74us [09m33s] 11474 ab:abaab=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11474 ab:abaab=a,bbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11475 solved: rounds:3,rules:3,peak:6,longest:11,steps:6,word:6,work:390,nodes:36,pairs:7,completionMax:35us [09m33s] 11475 ab:abaab=a,bbbbb=1 finite:55;idempotents:1,bbaa,baaaaaa,bbbbaaaa,aaaaaaaaaa,bbbaaaaaaaa a/b - - ab:aaaaaaaaaaa=a,ab=aaaaa,bbbbb=1 [09m33s] from: 11475 ab:abaab=a,bbbbb=1 finite:55;idempotents:1,bbaa,baaaaaa,bbbbaaaa,aaaaaaaaaa,bbbaaaaaaaa to: 11279 ab:aaabb=a,bbbbb=1 finite:55;idempotents:1,bbaa,baaaaaa,bbbbaaaa,aaaaaaaaaa,bbbaaaaaaaa a=a,b=b [09m33s] # 11476 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:198,nodes:14,pairs:13,completionMax:34us [09m33s] 11476 ab:abaab=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11476 ab:abaab=b,ababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11477 solved: rounds:4,rules:2,peak:6,longest:12,steps:29,word:9,work:1610,nodes:36,pairs:38,completionMax:141us [09m33s] 11477 ab:abaab=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11477 ab:abaab=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11478 solved: rounds:3,rules:2,peak:10,longest:5,steps:3,word:0,work:1156,nodes:24,pairs:48,completionMax:92us [09m33s] 11478 ab:abaab=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11478 ab:abaab=b,abbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11479 solved: rounds:3,rules:2,peak:9,longest:11,steps:16,word:9,work:1548,nodes:36,pairs:30,completionMax:146us [09m33s] 11479 ab:abaab=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11479 ab:abaab=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11480 solved: rounds:4,rules:2,peak:8,longest:12,steps:6,word:6,work:1288,nodes:32,pairs:30,completionMax:104us [09m33s] 11480 ab:abaab=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11480 ab:abaab=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11481 solved: rounds:5,rules:2,peak:6,longest:11,steps:8,word:7,work:753,nodes:22,pairs:19,completionMax:55us [09m33s] 11481 ab:abaab=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11481 ab:abaab=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11482 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:406,nodes:18,pairs:20,completionMax:64us [09m33s] 11482 ab:abaab=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11482 ab:abaab=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11483 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:498,nodes:18,pairs:29,completionMax:103us [09m33s] 11483 ab:abaab=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11483 ab:abaab=b,baaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11484 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:143,nodes:22,pairs:14,completionMax:34us [09m33s] 11484 ab:abaab=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11484 ab:abaab=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11485 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:396,nodes:24,pairs:29,completionMax:97us [09m33s] 11485 ab:abaab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11485 ab:abaab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11486 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:348,nodes:20,pairs:23,completionMax:59us [09m33s] 11486 ab:abaab=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11486 ab:abaab=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11487 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:3,work:332,nodes:24,pairs:14,completionMax:42us [09m33s] 11487 ab:abaab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11487 ab:abaab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11488 solved: rounds:5,rules:2,peak:11,longest:7,steps:5,word:3,work:1615,nodes:26,pairs:45,completionMax:150us [09m33s] 11488 ab:abaab=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11488 ab:abaab=b,babba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11489 solved: rounds:6,rules:2,peak:6,longest:11,steps:7,word:7,work:1074,nodes:22,pairs:32,completionMax:78us [09m33s] 11489 ab:abaab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11489 ab:abaab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11490 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:804,nodes:28,pairs:25,completionMax:84us [09m33s] 11490 ab:abaab=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11490 ab:abaab=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11491 solved: rounds:2,rules:2,peak:12,longest:9,steps:18,word:9,work:2822,nodes:32,pairs:32,completionMax:147us [09m33s] 11491 ab:abaab=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11491 ab:abaab=b,bbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11492 solved: rounds:3,rules:2,peak:9,longest:11,steps:21,word:9,work:2865,nodes:34,pairs:35,completionMax:119us [09m33s] 11492 ab:abaab=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11492 ab:abaab=b,bbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11493 solved: rounds:3,rules:2,peak:10,longest:11,steps:11,word:14,work:2804,nodes:30,pairs:41,completionMax:179us [09m33s] 11493 ab:abaab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11493 ab:abaab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11494 solved: rounds:3,rules:2,peak:8,longest:13,steps:29,word:9,work:4970,nodes:44,pairs:31,completionMax:131us [09m33s] 11494 ab:abaab=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11494 ab:abaab=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11495 solved: rounds:4,rules:2,peak:8,longest:11,steps:11,word:7,work:1648,nodes:22,pairs:33,completionMax:125us [09m33s] 11495 ab:abaab=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11495 ab:abaab=b,bbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11496 solved: rounds:5,rules:2,peak:8,longest:11,steps:19,word:7,work:3725,nodes:22,pairs:32,completionMax:130us [09m33s] 11496 ab:abaab=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11496 ab:abaab=b,bbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11497 solved: rounds:7,rules:2,peak:5,longest:15,steps:8,word:11,work:1181,nodes:30,pairs:25,completionMax:79us [09m33s] 11497 ab:abaab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11497 ab:abaab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [09m33s] # 11498 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:55,nodes:10,pairs:6,completionMax:21us [09m33s] 11498 ab:ababa=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11498 ab:ababa=a,ababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11499 solved: rounds:3,rules:3,peak:9,longest:6,steps:5,word:3,work:759,nodes:32,pairs:25,completionMax:69us [09m33s] 11499 ab:ababa=a,abbaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11499 ab:ababa=a,abbaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11500 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:303,nodes:22,pairs:16,completionMax:47us [09m33s] 11500 ab:ababa=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11500 ab:ababa=a,abbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11501 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:2,work:457,nodes:28,pairs:23,completionMax:74us [09m33s] 11501 ab:ababa=a,abbba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11501 ab:ababa=a,abbba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11502 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:1,work:48,nodes:14,pairs:6,completionMax:15us [09m33s] 11502 ab:ababa=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11502 ab:ababa=a,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11503 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:2,work:194,nodes:24,pairs:9,completionMax:34us [09m33s] 11503 ab:ababa=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11503 ab:ababa=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11504 solved: rounds:4,rules:3,peak:7,longest:8,steps:5,word:2,work:778,nodes:30,pairs:28,completionMax:99us [09m33s] 11504 ab:ababa=a,baaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11504 ab:ababa=a,baaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11505 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:198,nodes:20,pairs:13,completionMax:32us [09m33s] 11505 ab:ababa=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11505 ab:ababa=a,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11506 solved: rounds:4,rules:3,peak:8,longest:6,steps:8,word:2,work:1501,nodes:26,pairs:29,completionMax:116us [09m33s] 11506 ab:ababa=a,baabb=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11506 ab:ababa=a,baabb=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11507 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:71,nodes:18,pairs:7,completionMax:23us [09m33s] 11507 ab:ababa=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11507 ab:ababa=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11508 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:121,nodes:18,pairs:20,completionMax:32us [09m33s] 11508 ab:ababa=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11508 ab:ababa=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11509 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:2,work:675,nodes:28,pairs:16,completionMax:71us [09m33s] 11509 ab:ababa=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11509 ab:ababa=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11510 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:22,pairs:1,completionMax:8us [09m33s] 11510 ab:ababa=a,bbaaa=1 infinite ab - - ab:baba=1,bbaaa=1 [09m33s] # 11511 solved: rounds:4,rules:2,peak:6,longest:6,steps:6,word:1,work:607,nodes:22,pairs:16,completionMax:50us [09m33s] 11511 ab:ababa=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11511 ab:ababa=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11512 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:22,pairs:1,completionMax:6us [09m33s] 11512 ab:ababa=a,bbbaa=1 infinite ab - - ab:baba=1,bbbaa=1 [09m33s] from: 11512 ab:ababa=a,bbbaa=1 infinite to: 1803 ab:abab=1,aaabb=1 infinite a=b,b=a [09m33s] # 11513 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:18,pairs:0,completionMax:4us [09m33s] 11513 ab:ababa=a,bbbbb=1 infinite ab - - ab:ababa=a,bbbbb=1 [09m33s] # 11514 solved: rounds:2,rules:2,peak:10,longest:11,steps:20,word:9,work:3637,nodes:38,pairs:32,completionMax:204us [09m33s] 11514 ab:ababa=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11514 ab:ababa=b,ababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11515 solved: rounds:4,rules:5,peak:18,longest:9,steps:8,word:3,work:8366,nodes:72,pairs:85,completionMax:431us [09m33s] 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aaa,bab=aabaa,baab=aba [09m33s] # 11516 solved: rounds:3,rules:2,peak:10,longest:10,steps:9,word:6,work:1483,nodes:38,pairs:40,completionMax:124us [09m33s] 11516 ab:ababa=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11516 ab:ababa=b,abbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11517 solved: rounds:3,rules:2,peak:13,longest:12,steps:7,word:6,work:2921,nodes:48,pairs:89,completionMax:355us [09m33s] 11517 ab:ababa=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11517 ab:ababa=b,abbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11518 solved: rounds:5,rules:2,peak:8,longest:11,steps:15,word:7,work:3473,nodes:36,pairs:50,completionMax:175us [09m33s] 11518 ab:ababa=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11518 ab:ababa=b,abbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11519 solved: rounds:3,rules:2,peak:9,longest:5,steps:9,word:0,work:854,nodes:22,pairs:25,completionMax:76us [09m33s] 11519 ab:ababa=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11519 ab:ababa=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11520 solved: rounds:4,rules:5,peak:9,longest:9,steps:7,word:3,work:1883,nodes:50,pairs:39,completionMax:208us [09m33s] 11520 ab:ababa=b,baaab=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aaa,bab=aabaa,baab=aba [09m33s] from: 11520 ab:ababa=b,baaab=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa to: 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11521 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:534,nodes:24,pairs:22,completionMax:54us [09m33s] 11521 ab:ababa=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11521 ab:ababa=b,baaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11522 solved: rounds:4,rules:2,peak:13,longest:8,steps:8,word:3,work:3216,nodes:40,pairs:40,completionMax:215us [09m33s] 11522 ab:ababa=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11522 ab:ababa=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11523 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:206,nodes:20,pairs:18,completionMax:39us [09m33s] 11523 ab:ababa=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11523 ab:ababa=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11524 solved: rounds:2,rules:2,peak:4,longest:7,steps:7,word:3,work:241,nodes:18,pairs:16,completionMax:44us [09m33s] 11524 ab:ababa=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11524 ab:ababa=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11525 solved: rounds:4,rules:2,peak:8,longest:11,steps:11,word:7,work:1814,nodes:24,pairs:29,completionMax:130us [09m33s] 11525 ab:ababa=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11525 ab:ababa=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11526 solved: rounds:5,rules:5,peak:18,longest:7,steps:6,word:3,work:8302,nodes:56,pairs:128,completionMax:655us [09m33s] 11526 ab:ababa=b,bbaaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aaa,bab=aabaa,baab=aba [09m33s] from: 11526 ab:ababa=b,bbaaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa to: 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11527 solved: rounds:3,rules:2,peak:10,longest:11,steps:4,word:14,work:2484,nodes:36,pairs:85,completionMax:258us [09m33s] 11527 ab:ababa=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11527 ab:ababa=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11528 solved: rounds:3,rules:2,peak:10,longest:21,steps:45,word:15,work:3680,nodes:62,pairs:51,completionMax:246us [09m33s] 11528 ab:ababa=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11528 ab:ababa=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11529 solved: rounds:8,rules:2,peak:5,longest:15,steps:8,word:11,work:958,nodes:30,pairs:18,completionMax:133us [09m33s] 11529 ab:ababa=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11529 ab:ababa=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [09m33s] # 11530 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:14,pairs:5,completionMax:12us [09m33s] 11530 ab:ababb=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11530 ab:ababb=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11531 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:116,nodes:18,pairs:14,completionMax:25us [09m33s] 11531 ab:ababb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11531 ab:ababb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11532 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:0,work:666,nodes:26,pairs:55,completionMax:108us [09m33s] 11532 ab:ababb=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11532 ab:ababb=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11533 solved: rounds:7,rules:3,peak:11,longest:6,steps:5,word:8,work:1596,nodes:28,pairs:61,completionMax:161us [09m33s] 11533 ab:ababb=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa a/b - - ab:aaaaaa=a,ab=aaaa,bbbbb=1 [09m33s] from: 11533 ab:ababb=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa to: 4918 ab:aab=bb,aaaaa=1 finite:30;idempotents:1,bba,baaa,bbbbb,bbbbaa,bbbaaaa anti:a=b,b=a [09m33s] # 11534 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:25,nodes:14,pairs:5,completionMax:14us [09m33s] 11534 ab:ababb=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11534 ab:ababb=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11535 solved: rounds:1,rules:2,peak:4,longest:6,steps:3,word:2,work:65,nodes:26,pairs:3,completionMax:18us [09m33s] 11535 ab:ababb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11535 ab:ababb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11536 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:2,work:671,nodes:26,pairs:20,completionMax:71us [09m33s] 11536 ab:ababb=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11536 ab:ababb=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11537 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:1,work:34,nodes:18,pairs:2,completionMax:7us [09m33s] 11537 ab:ababb=b,bbbbb=1 infinite;group:a-bab,b-bbbb b/a - - ab:bbbbb=1,aba=bbbb [09m33s] from: 11537 ab:ababb=b,bbbbb=1 infinite;group:a-bab,b-bbbb to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=b,b=a [09m33s] # 11538 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:2,work:138,nodes:26,pairs:11,completionMax:31us [09m33s] 11538 ab:abbaa=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11538 ab:abbaa=a,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11539 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:22,pairs:1,completionMax:5us [09m33s] 11539 ab:abbaa=a,babaa=1 infinite ab - - ab:bbaa=1,babaa=1 [09m33s] from: 11539 ab:abbaa=a,babaa=1 infinite to: 11400 ab:aabba=a,ababb=1 infinite a=b,b=a [09m33s] # 11540 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:72,nodes:18,pairs:8,completionMax:15us [09m33s] 11540 ab:abbaa=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11540 ab:abbaa=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11541 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:0,work:754,nodes:20,pairs:34,completionMax:68us [09m33s] 11541 ab:abbaa=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11541 ab:abbaa=b,baaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11542 solved: rounds:3,rules:2,peak:9,longest:7,steps:6,word:0,work:593,nodes:34,pairs:47,completionMax:77us [09m33s] 11542 ab:abbaa=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11542 ab:abbaa=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11543 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:109,nodes:20,pairs:12,completionMax:20us [09m33s] 11543 ab:abbaa=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11543 ab:abbaa=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11544 solved: rounds:3,rules:2,peak:5,longest:5,steps:6,word:0,work:279,nodes:12,pairs:11,completionMax:31us [09m33s] 11544 ab:abbab=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11544 ab:abbab=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11545 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:407,nodes:24,pairs:24,completionMax:69us [09m33s] 11545 ab:abbab=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11545 ab:abbab=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11546 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:468,nodes:20,pairs:24,completionMax:59us [09m33s] 11546 ab:abbab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11546 ab:abbab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11547 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:183,nodes:18,pairs:23,completionMax:36us [09m33s] 11547 ab:abbab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11547 ab:abbab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11548 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:466,nodes:22,pairs:26,completionMax:77us [09m33s] 11548 ab:abbab=a,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11548 ab:abbab=a,bbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11549 solved: rounds:3,rules:3,peak:7,longest:6,steps:7,word:4,work:572,nodes:26,pairs:14,completionMax:59us [09m33s] 11549 ab:abbab=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa a/b - - ab:aaaaaa=a,ab=aaaa,bbbbb=1 [09m33s] from: 11549 ab:abbab=a,bbbbb=1 finite:30;idempotents:1,baa,bbba,aaaaa,bbaaaa,bbbbaaa to: 4918 ab:aab=bb,aaaaa=1 finite:30;idempotents:1,bba,baaa,bbbbb,bbbbaa,bbbaaaa anti:a=b,b=a [09m33s] # 11550 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:191,nodes:18,pairs:14,completionMax:47us [09m33s] 11550 ab:abbab=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11550 ab:abbab=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11551 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:402,nodes:18,pairs:30,completionMax:67us [09m33s] 11551 ab:abbab=b,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11551 ab:abbab=b,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11552 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:104,nodes:24,pairs:11,completionMax:34us [09m33s] 11552 ab:abbab=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11552 ab:abbab=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11553 solved: rounds:1,rules:2,peak:4,longest:6,steps:3,word:2,work:76,nodes:24,pairs:6,completionMax:23us [09m33s] 11553 ab:abbab=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11553 ab:abbab=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11554 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:369,nodes:20,pairs:24,completionMax:81us [09m33s] 11554 ab:abbab=b,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11554 ab:abbab=b,bbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11555 solved: rounds:4,rules:2,peak:8,longest:19,steps:46,word:12,work:13071,nodes:68,pairs:71,completionMax:391us [09m33s] 11555 ab:abbab=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 11555 ab:abbab=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 11556 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:37,nodes:10,pairs:5,completionMax:10us [09m33s] 11556 ab:abbba=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11556 ab:abbba=a,abbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11557 solved: rounds:3,rules:2,peak:6,longest:12,steps:2,word:7,work:376,nodes:38,pairs:18,completionMax:59us [09m33s] 11557 ab:abbba=a,baaaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaa [09m33s] from: 11557 ab:abbba=a,baaaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbbb,b=b [09m33s] # 11558 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:2,work:435,nodes:24,pairs:16,completionMax:49us [09m33s] 11558 ab:abbba=a,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11558 ab:abbba=a,baaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11559 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:2,work:448,nodes:24,pairs:26,completionMax:54us [09m33s] 11559 ab:abbba=a,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11559 ab:abbba=a,baaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11560 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:535,nodes:22,pairs:22,completionMax:80us [09m33s] 11560 ab:abbba=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11560 ab:abbba=a,baabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11561 solved: rounds:3,rules:2,peak:7,longest:10,steps:3,word:2,work:803,nodes:40,pairs:24,completionMax:80us [09m33s] 11561 ab:abbba=a,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11561 ab:abbba=a,babaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11562 solved: rounds:2,rules:2,peak:6,longest:5,steps:7,word:0,work:284,nodes:22,pairs:10,completionMax:30us [09m33s] 11562 ab:abbba=a,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11562 ab:abbba=a,babab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11563 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:232,nodes:22,pairs:17,completionMax:37us [09m33s] 11563 ab:abbba=a,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11563 ab:abbba=a,babba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11564 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:170,nodes:18,pairs:15,completionMax:26us [09m33s] 11564 ab:abbba=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11564 ab:abbba=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11565 solved: rounds:3,rules:2,peak:5,longest:8,steps:3,word:3,work:206,nodes:26,pairs:13,completionMax:44us [09m33s] 11565 ab:abbba=a,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 11565 ab:abbba=a,bbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11566 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:80,nodes:20,pairs:9,completionMax:17us [09m33s] 11566 ab:abbba=a,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11566 ab:abbba=a,bbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11567 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:330,nodes:18,pairs:18,completionMax:30us [09m33s] 11567 ab:abbba=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11567 ab:abbba=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11568 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:57,nodes:18,pairs:5,completionMax:12us [09m33s] 11568 ab:abbba=a,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 11568 ab:abbba=a,bbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 11569 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:18,pairs:0,completionMax:2us [09m33s] 11569 ab:abbba=a,bbbbb=1 infinite ab - - ab:abbba=a,bbbbb=1 [09m33s] # 11570 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:109,nodes:18,pairs:12,completionMax:37us [09m33s] 11570 ab:abbba=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11570 ab:abbba=b,abbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11571 solved: rounds:2,rules:2,peak:9,longest:7,steps:6,word:3,work:1017,nodes:34,pairs:22,completionMax:109us [09m33s] 11571 ab:abbba=b,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 11571 ab:abbba=b,baaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 11572 solved: rounds:3,rules:3,peak:10,longest:6,steps:5,word:2,work:1214,nodes:28,pairs:59,completionMax:175us [09m33s] 11572 ab:abbba=b,baaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11572 ab:abbba=b,baaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11573 solved: rounds:2,rules:2,peak:12,longest:5,steps:5,word:0,work:937,nodes:30,pairs:25,completionMax:111us [09m33s] 11573 ab:abbba=b,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11573 ab:abbba=b,baaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11574 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:553,nodes:24,pairs:32,completionMax:87us [09m33s] 11574 ab:abbba=b,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11574 ab:abbba=b,baabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11575 solved: rounds:3,rules:2,peak:14,longest:6,steps:5,word:0,work:3731,nodes:42,pairs:98,completionMax:274us [09m33s] 11575 ab:abbba=b,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11575 ab:abbba=b,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11576 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:403,nodes:18,pairs:18,completionMax:34us [09m33s] 11576 ab:abbba=b,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11576 ab:abbba=b,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11577 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:631,nodes:22,pairs:37,completionMax:75us [09m33s] 11577 ab:abbba=b,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11577 ab:abbba=b,babba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11578 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:29,nodes:18,pairs:7,completionMax:23us [09m33s] 11578 ab:abbba=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11578 ab:abbba=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11579 solved: rounds:2,rules:3,peak:5,longest:5,steps:8,word:3,work:223,nodes:20,pairs:14,completionMax:31us [09m33s] 11579 ab:abbba=b,bbaaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 11579 ab:abbba=b,bbaaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 11580 solved: rounds:2,rules:2,peak:11,longest:5,steps:4,word:0,work:634,nodes:22,pairs:24,completionMax:107us [09m33s] 11580 ab:abbba=b,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11580 ab:abbba=b,bbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11581 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:97,nodes:18,pairs:13,completionMax:27us [09m33s] 11581 ab:abbba=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11581 ab:abbba=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11582 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:100,nodes:18,pairs:10,completionMax:24us [09m33s] 11582 ab:abbba=b,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11582 ab:abbba=b,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11583 solved: rounds:4,rules:2,peak:11,longest:14,steps:50,word:12,work:7849,nodes:44,pairs:43,completionMax:347us [09m33s] 11583 ab:abbba=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 11583 ab:abbba=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 11584 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:41,nodes:18,pairs:4,completionMax:12us [09m33s] 11584 ab:abbbb=a,bbbbb=1 infinite ab - - ab:ab=a,bbbbb=1 [09m33s] from: 11584 ab:abbbb=a,bbbbb=1 infinite to: 879 ab:ab=a,bbbbb=1 infinite a=a,b=b [09m33s] # 11585 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:106,nodes:20,pairs:11,completionMax:39us [09m33s] 11585 ab:abbbb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11585 ab:abbbb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11586 solved: rounds:3,rules:3,peak:12,longest:6,steps:5,word:2,work:1746,nodes:34,pairs:107,completionMax:269us [09m33s] 11586 ab:baaab=a,baabb=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 11586 ab:baaab=a,baabb=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 11587 solved: rounds:3,rules:2,peak:6,longest:5,steps:7,word:0,work:471,nodes:22,pairs:17,completionMax:41us [09m33s] 11587 ab:baaab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11587 ab:baaab=a,babab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11588 solved: rounds:3,rules:2,peak:8,longest:12,steps:16,word:4,work:2549,nodes:44,pairs:36,completionMax:151us [09m33s] 11588 ab:baaab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11588 ab:baaab=a,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11589 solved: rounds:3,rules:2,peak:11,longest:6,steps:9,word:3,work:2335,nodes:32,pairs:59,completionMax:170us [09m33s] 11589 ab:baaab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11589 ab:baaab=a,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11590 solved: rounds:9,rules:19,peak:44,longest:29,steps:176,word:25,work:1312064,nodes:660,pairs:1887,completionMax:30309us [09m33s] 11590 ab:baaab=a,bbbbb=1 infinite ca/b baabaabaabaab=c frequency:13/0 abc:ac=ca,ccaa=c,caaa=a,cbcaa=cb,abcaa=ab,ccb=bcc,aab=cbaaaa,ccab=abcc,bcab=cca,cbbcaa=cbb,abbcaa=abb,bbbc=cabcbaaaaa,bbba=cabcbaaaaaaaa,bcbcb=abbcccccca,cbbb=abcbaaa,abbb=bcbaaaaaaa,abbabb=bcbabcbaaaaaaaaaaaaaaa,abcbabcb=cbbabbcccccca,bbbbb=1 [09m33s] # 11591 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:3,work:351,nodes:20,pairs:24,completionMax:60us [09m33s] 11591 ab:baaab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11591 ab:baaab=b,baabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11592 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:3,work:193,nodes:16,pairs:12,completionMax:30us [09m33s] 11592 ab:baaab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11592 ab:baaab=b,babab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11593 solved: rounds:5,rules:2,peak:5,longest:11,steps:7,word:7,work:461,nodes:24,pairs:21,completionMax:52us [09m33s] 11593 ab:baaab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11593 ab:baaab=b,babbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11594 solved: rounds:4,rules:2,peak:7,longest:16,steps:28,word:14,work:2082,nodes:40,pairs:28,completionMax:129us [09m33s] 11594 ab:baaab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11594 ab:baaab=b,bbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [09m33s] # 11595 solved: rounds:6,rules:2,peak:5,longest:15,steps:8,word:11,work:719,nodes:30,pairs:14,completionMax:56us [09m33s] 11595 ab:baaab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11595 ab:baaab=b,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [09m33s] # 11596 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:148,nodes:18,pairs:13,completionMax:30us [09m33s] 11596 ab:baaba=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11596 ab:baaba=a,babaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11597 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:54,nodes:16,pairs:5,completionMax:11us [09m33s] 11597 ab:baaba=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11597 ab:baaba=a,bbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11598 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:89,nodes:16,pairs:8,completionMax:34us [09m33s] 11598 ab:baaba=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11598 ab:baaba=a,bbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11599 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:211,nodes:18,pairs:16,completionMax:49us [09m33s] 11599 ab:baaba=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11599 ab:baaba=b,babaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11600 solved: rounds:4,rules:2,peak:4,longest:5,steps:3,word:0,work:102,nodes:18,pairs:7,completionMax:18us [09m33s] 11600 ab:baaba=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 11600 ab:baaba=b,bbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 11601 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:555,nodes:24,pairs:31,completionMax:72us [09m33s] 11601 ab:baaba=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 11601 ab:baaba=b,bbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 11602 solved: rounds:2,rules:2,peak:11,longest:5,steps:9,word:0,work:1028,nodes:28,pairs:29,completionMax:87us [09m33s] 11602 ab:baabb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11602 ab:baabb=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11603 solved: rounds:2,rules:2,peak:12,longest:5,steps:8,word:0,work:1538,nodes:24,pairs:45,completionMax:150us [09m33s] 11603 ab:baabb=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11603 ab:baabb=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11604 solved: rounds:6,rules:6,peak:36,longest:17,steps:24,word:7,work:251386,nodes:242,pairs:920,completionMax:10320us [09m33s] 11604 ab:baabb=a,bbbbb=1 finite:60;idempotents:1,abbabbbabbbb;center:1,abbabbbabbbb b/a - - ab:bbbbb=1,aa=bbbbabbb,aba=bbab,babba=abbbbabbbb,babbbba=abbbabb,bbbabbba=abbabbbb [09m33s] # 11605 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:2,work:791,nodes:26,pairs:32,completionMax:97us [09m33s] 11605 ab:baabb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11605 ab:baabb=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11606 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:604,nodes:30,pairs:28,completionMax:83us [09m33s] 11606 ab:baabb=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11606 ab:baabb=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11607 solved: rounds:3,rules:2,peak:8,longest:14,steps:9,word:9,work:1293,nodes:46,pairs:29,completionMax:135us [09m33s] 11607 ab:baabb=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 11607 ab:baabb=b,bbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 11608 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:2us [09m33s] 11608 ab:babaa=a,bbaaa=1 infinite ab - - ab:babaa=a,bbaaa=1 [09m33s] # 11609 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:2us [09m33s] 11609 ab:babaa=b,bbaaa=1 infinite ab - - ab:babaa=b,bbaaa=1 [09m33s] # 11610 solved: rounds:2,rules:2,peak:10,longest:5,steps:7,word:0,work:841,nodes:18,pairs:28,completionMax:98us [09m33s] 11610 ab:babab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11610 ab:babab=a,babbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11611 solved: rounds:2,rules:2,peak:12,longest:5,steps:10,word:0,work:2224,nodes:24,pairs:28,completionMax:112us [09m33s] 11611 ab:babab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11611 ab:babab=a,bbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11612 solved: rounds:7,rules:12,peak:27,longest:32,steps:111,word:34,work:589654,nodes:490,pairs:159,completionMax:8359us [09m33s] 11612 ab:babab=a,bbbbb=1 finite:605;idempotents:1,aaaaaaaaaaaaaaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=a,abaaaaaaaaaaaaaaaaaaaa=ab,aab=baa,abbaaaaaaaaaaaaaaaaaaaa=abb,babab=a,abbbaaaaaaaaaaaaaaaaaaaa=abbb,bbbba=abab,babbab=abbbaaaaaaaaaaaaaaaaaaa,abbbb=baba,bbbbb=1,bbbabbb=ababbbaba,abbabbbabb=bbabbbabbaaaaaaaaaaa [09m33s] # 11613 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:2,work:248,nodes:26,pairs:10,completionMax:28us [09m33s] 11613 ab:babab=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11613 ab:babab=b,babbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11614 solved: rounds:2,rules:2,peak:8,longest:6,steps:7,word:2,work:711,nodes:22,pairs:21,completionMax:63us [09m33s] 11614 ab:babab=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 11614 ab:babab=b,bbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 11615 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:83,nodes:22,pairs:4,completionMax:22us [09m33s] 11615 ab:babab=b,bbbbb=1 infinite;group:a-bab,b-bbbb b/a - - ab:bbbbb=1,aba=bbbb [09m33s] from: 11615 ab:babab=b,bbbbb=1 infinite;group:a-bab,b-bbbb to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=b,b=a [09m33s] # 11616 solved: rounds:1,rules:2,peak:3,longest:5,steps:7,word:4,work:123,nodes:16,pairs:5,completionMax:14us [09m33s] 11616 ab:babbb=a,bbbbb=1 infinite b/a - - ab:bbbbb=1,ba=abb [09m33s] from: 11616 ab:babbb=a,bbbbb=1 infinite to: 4478 ab:aaba=b,aaaaa=1 infinite a=b,b=a [09m33s] # 11617 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:2,work:288,nodes:20,pairs:25,completionMax:55us [09m33s] 11617 ab:babbb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11617 ab:babbb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11618 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:5,work:462,nodes:20,pairs:18,completionMax:50us [09m33s] 11618 ab:bbabb=a,bbbbb=1 infinite b/a - - ab:bbbbb=1,ba=abbbb [09m33s] from: 11618 ab:bbabb=a,bbbbb=1 infinite to: 1960 ab:aba=b,aaaaa=1 infinite a=b,b=a [09m33s] # 11619 solved: rounds:2,rules:2,peak:8,longest:8,steps:16,word:6,work:2230,nodes:26,pairs:39,completionMax:120us [09m33s] 11619 ab:bbabb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11619 ab:bbabb=b,bbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11620 solved: rounds:1,rules:1,peak:2,longest:4,steps:2,word:0,work:57,nodes:8,pairs:6,completionMax:10us [09m33s] 11620 ab:aaaa=aa,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [09m33s] from: 11620 ab:aaaa=aa,aaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [09m33s] # 11621 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:43,nodes:8,pairs:4,completionMax:14us [09m33s] 11621 ab:aaaa=aa,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11621 ab:aaaa=aa,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11622 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:119,nodes:12,pairs:11,completionMax:21us [09m33s] 11622 ab:aaaa=aa,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11622 ab:aaaa=aa,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11623 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:3,work:247,nodes:10,pairs:15,completionMax:26us [09m33s] 11623 ab:aaaa=aa,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11623 ab:aaaa=aa,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11624 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:123,nodes:14,pairs:12,completionMax:17us [09m33s] 11624 ab:aaaa=aa,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11624 ab:aaaa=aa,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11625 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:72,nodes:12,pairs:7,completionMax:15us [09m33s] 11625 ab:aaaa=aa,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11625 ab:aaaa=aa,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11626 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:181,nodes:16,pairs:15,completionMax:23us [09m33s] 11626 ab:aaaa=aa,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11626 ab:aaaa=aa,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11627 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:45,nodes:12,pairs:4,completionMax:14us [09m33s] 11627 ab:aaaa=aa,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11627 ab:aaaa=aa,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11628 solved: rounds:3,rules:2,peak:7,longest:8,steps:5,word:3,work:603,nodes:22,pairs:13,completionMax:55us [09m33s] 11628 ab:aaaa=aa,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11628 ab:aaaa=aa,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11629 solved: rounds:4,rules:2,peak:4,longest:5,steps:6,word:1,work:221,nodes:16,pairs:14,completionMax:28us [09m33s] 11629 ab:aaaa=aa,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11629 ab:aaaa=aa,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11630 solved: rounds:6,rules:3,peak:6,longest:5,steps:4,word:0,work:333,nodes:18,pairs:12,completionMax:38us [09m33s] 11630 ab:aaaa=aa,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11630 ab:aaaa=aa,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11631 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:149,nodes:18,pairs:8,completionMax:31us [09m33s] 11631 ab:aaaa=aa,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11631 ab:aaaa=aa,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11632 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:152,nodes:20,pairs:8,completionMax:35us [09m33s] 11632 ab:aaaa=aa,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11632 ab:aaaa=aa,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11633 solved: rounds:4,rules:2,peak:3,longest:8,steps:1,word:3,work:87,nodes:16,pairs:6,completionMax:26us [09m33s] 11633 ab:aaaa=aa,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11633 ab:aaaa=aa,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11634 solved: rounds:3,rules:2,peak:8,longest:8,steps:7,word:2,work:2128,nodes:28,pairs:50,completionMax:136us [09m33s] 11634 ab:aaaa=aa,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11634 ab:aaaa=aa,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11635 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:324,nodes:22,pairs:15,completionMax:53us [09m33s] 11635 ab:aaaa=aa,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11635 ab:aaaa=aa,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11636 solved: rounds:4,rules:3,peak:4,longest:5,steps:5,word:0,work:193,nodes:16,pairs:9,completionMax:29us [09m33s] 11636 ab:aaaa=aa,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11636 ab:aaaa=aa,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11637 solved: rounds:6,rules:2,peak:5,longest:8,steps:4,word:3,work:466,nodes:20,pairs:11,completionMax:40us [09m33s] 11637 ab:aaaa=aa,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11637 ab:aaaa=aa,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11638 solved: rounds:6,rules:2,peak:5,longest:8,steps:4,word:3,work:499,nodes:22,pairs:18,completionMax:65us [09m33s] 11638 ab:aaaa=aa,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11638 ab:aaaa=aa,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11639 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:16,pairs:0,completionMax:3us [09m33s] 11639 ab:aaaa=aa,bbbbb=1 infinite ab - - ab:aaaa=aa,bbbbb=1 [09m33s] # 11640 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:7us [09m33s] 11640 ab:aaaa=ab,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [09m33s] from: 11640 ab:aaaa=ab,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [09m33s] # 11641 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:2,work:12,nodes:14,pairs:1,completionMax:8us [09m33s] 11641 ab:aaaa=ab,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11641 ab:aaaa=ab,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11642 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:2,work:11,nodes:14,pairs:1,completionMax:7us [09m33s] 11642 ab:aaaa=ab,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11642 ab:aaaa=ab,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11643 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:20,nodes:18,pairs:1,completionMax:11us [09m33s] 11643 ab:aaaa=ab,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11643 ab:aaaa=ab,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11644 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:2,work:10,nodes:14,pairs:1,completionMax:9us [09m33s] 11644 ab:aaaa=ab,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11644 ab:aaaa=ab,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11645 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:19,nodes:18,pairs:1,completionMax:16us [09m33s] 11645 ab:aaaa=ab,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11645 ab:aaaa=ab,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11646 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:18,nodes:18,pairs:1,completionMax:11us [09m33s] 11646 ab:aaaa=ab,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11646 ab:aaaa=ab,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11647 solved: rounds:1,rules:2,peak:3,longest:11,steps:3,word:6,work:29,nodes:22,pairs:1,completionMax:12us [09m33s] 11647 ab:aaaa=ab,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11647 ab:aaaa=ab,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11648 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:2,work:9,nodes:14,pairs:1,completionMax:9us [09m33s] 11648 ab:aaaa=ab,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11648 ab:aaaa=ab,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11649 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:18,nodes:18,pairs:1,completionMax:9us [09m33s] 11649 ab:aaaa=ab,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11649 ab:aaaa=ab,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11650 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:17,nodes:18,pairs:1,completionMax:9us [09m33s] 11650 ab:aaaa=ab,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11650 ab:aaaa=ab,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11651 solved: rounds:1,rules:2,peak:3,longest:11,steps:3,word:6,work:28,nodes:22,pairs:1,completionMax:11us [09m33s] 11651 ab:aaaa=ab,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11651 ab:aaaa=ab,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11652 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:4,work:16,nodes:18,pairs:1,completionMax:9us [09m33s] 11652 ab:aaaa=ab,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11652 ab:aaaa=ab,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11653 solved: rounds:1,rules:2,peak:3,longest:11,steps:3,word:6,work:27,nodes:22,pairs:1,completionMax:13us [09m33s] 11653 ab:aaaa=ab,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11653 ab:aaaa=ab,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11654 solved: rounds:1,rules:2,peak:3,longest:11,steps:3,word:6,work:26,nodes:22,pairs:1,completionMax:16us [09m33s] 11654 ab:aaaa=ab,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11654 ab:aaaa=ab,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11655 solved: rounds:1,rules:2,peak:3,longest:13,steps:4,word:8,work:39,nodes:26,pairs:1,completionMax:13us [09m33s] 11655 ab:aaaa=ab,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11655 ab:aaaa=ab,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11656 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:2,work:63,nodes:24,pairs:3,completionMax:29us [09m33s] 11656 ab:aaaa=ab,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11656 ab:aaaa=ab,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11657 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:2,work:86,nodes:32,pairs:3,completionMax:28us [09m33s] 11657 ab:aaaa=ab,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11657 ab:aaaa=ab,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11658 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:2,work:85,nodes:32,pairs:3,completionMax:26us [09m33s] 11658 ab:aaaa=ab,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11658 ab:aaaa=ab,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11659 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:4,work:110,nodes:40,pairs:3,completionMax:33us [09m33s] 11659 ab:aaaa=ab,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11659 ab:aaaa=ab,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11660 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:2,work:84,nodes:32,pairs:3,completionMax:26us [09m33s] 11660 ab:aaaa=ab,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11660 ab:aaaa=ab,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11661 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:4,work:109,nodes:40,pairs:3,completionMax:34us [09m33s] 11661 ab:aaaa=ab,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11661 ab:aaaa=ab,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11662 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:4,work:108,nodes:40,pairs:3,completionMax:32us [09m33s] 11662 ab:aaaa=ab,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11662 ab:aaaa=ab,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11663 solved: rounds:2,rules:2,peak:4,longest:14,steps:3,word:6,work:135,nodes:48,pairs:3,completionMax:37us [09m33s] 11663 ab:aaaa=ab,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11663 ab:aaaa=ab,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11664 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:4,work:107,nodes:28,pairs:4,completionMax:23us [09m33s] 11664 ab:aaaa=ab,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11664 ab:aaaa=ab,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11665 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:4,work:140,nodes:36,pairs:4,completionMax:33us [09m33s] 11665 ab:aaaa=ab,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11665 ab:aaaa=ab,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11666 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:4,work:139,nodes:36,pairs:4,completionMax:53us [09m33s] 11666 ab:aaaa=ab,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11666 ab:aaaa=ab,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11667 solved: rounds:2,rules:2,peak:4,longest:14,steps:2,word:4,work:174,nodes:44,pairs:4,completionMax:54us [09m33s] 11667 ab:aaaa=ab,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11667 ab:aaaa=ab,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11668 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:6,work:170,nodes:32,pairs:5,completionMax:40us [09m33s] 11668 ab:aaaa=ab,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11668 ab:aaaa=ab,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11669 solved: rounds:2,rules:2,peak:4,longest:14,steps:3,word:6,work:219,nodes:40,pairs:5,completionMax:45us [09m33s] 11669 ab:aaaa=ab,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11669 ab:aaaa=ab,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11670 solved: rounds:2,rules:2,peak:4,longest:14,steps:4,word:8,work:252,nodes:36,pairs:6,completionMax:52us [09m33s] 11670 ab:aaaa=ab,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11670 ab:aaaa=ab,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11671 solved: rounds:1,rules:3,peak:3,longest:16,steps:4,word:8,work:88,nodes:40,pairs:1,completionMax:16us [09m33s] 11671 ab:aaaa=ab,bbbbb=1 finite:80;idempotents:1,bbbbaaa,bbbaaaaaa,bbaaaaaaaaa,baaaaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=aaaa,bbbbb=1 [09m33s] # 11672 solved: rounds:4,rules:2,peak:5,longest:10,steps:4,word:7,work:221,nodes:20,pairs:12,completionMax:46us [09m33s] 11672 ab:aaaa=bb,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbbbb [09m33s] from: 11672 ab:aaaa=bb,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b8;saturation:a:a10=1;cancellative;smith:10;group:a-bb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbb,b=b [09m33s] # 11673 solved: rounds:1,rules:2,peak:4,longest:12,steps:2,word:7,work:50,nodes:26,pairs:2,completionMax:18us [09m33s] 11673 ab:aaaa=bb,aaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11673 ab:aaaa=bb,aaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbb [09m33s] # 11674 solved: rounds:3,rules:2,peak:6,longest:12,steps:7,word:7,work:957,nodes:36,pairs:34,completionMax:97us [09m33s] 11674 ab:aaaa=bb,aaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11674 ab:aaaa=bb,aaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbb [09m33s] # 11675 solved: rounds:1,rules:2,peak:4,longest:14,steps:4,word:9,work:322,nodes:36,pairs:6,completionMax:27us [09m33s] 11675 ab:aaaa=bb,aaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11675 ab:aaaa=bb,aaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11676 solved: rounds:2,rules:2,peak:5,longest:12,steps:4,word:7,work:316,nodes:30,pairs:10,completionMax:40us [09m33s] 11676 ab:aaaa=bb,aabaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 11676 ab:aaaa=bb,aabaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a8;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbb [09m33s] # 11677 solved: rounds:3,rules:2,peak:7,longest:20,steps:19,word:12,work:3426,nodes:68,pairs:21,completionMax:181us [09m33s] 11677 ab:aaaa=bb,aabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11677 ab:aaaa=bb,aabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11678 solved: rounds:3,rules:2,peak:5,longest:18,steps:15,word:9,work:1408,nodes:56,pairs:20,completionMax:94us [09m33s] 11678 ab:aaaa=bb,aabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11678 ab:aaaa=bb,aabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11679 solved: rounds:2,rules:2,peak:3,longest:16,steps:1,word:9,work:38,nodes:32,pairs:4,completionMax:33us [09m33s] 11679 ab:aaaa=bb,aabbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11679 ab:aaaa=bb,aabbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11680 solved: rounds:2,rules:2,peak:7,longest:18,steps:21,word:9,work:3739,nodes:56,pairs:23,completionMax:132us [09m33s] 11680 ab:aaaa=bb,abaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11680 ab:aaaa=bb,abaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11681 solved: rounds:3,rules:2,peak:5,longest:14,steps:22,word:6,work:1505,nodes:28,pairs:15,completionMax:96us [09m33s] 11681 ab:aaaa=bb,ababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11681 ab:aaaa=bb,ababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11682 solved: rounds:2,rules:2,peak:5,longest:16,steps:5,word:9,work:673,nodes:42,pairs:10,completionMax:79us [09m33s] 11682 ab:aaaa=bb,ababb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11682 ab:aaaa=bb,ababb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11683 solved: rounds:2,rules:2,peak:3,longest:16,steps:1,word:9,work:37,nodes:32,pairs:4,completionMax:18us [09m33s] 11683 ab:aaaa=bb,abbab=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11683 ab:aaaa=bb,abbab=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11684 solved: rounds:3,rules:2,peak:6,longest:16,steps:17,word:9,work:2442,nodes:46,pairs:18,completionMax:124us [09m33s] 11684 ab:aaaa=bb,abbba=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11684 ab:aaaa=bb,abbba=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11685 solved: rounds:4,rules:2,peak:5,longest:18,steps:6,word:13,work:583,nodes:36,pairs:10,completionMax:44us [09m33s] 11685 ab:aaaa=bb,abbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [09m33s] from: 11685 ab:aaaa=bb,abbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaa,b=a [09m33s] # 11686 solved: rounds:3,rules:2,peak:8,longest:14,steps:21,word:12,work:2944,nodes:62,pairs:34,completionMax:128us [09m33s] 11686 ab:aaaa=bb,baaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 11686 ab:aaaa=bb,baaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b4;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbb,b=b [09m33s] # 11687 solved: rounds:2,rules:2,peak:3,longest:16,steps:1,word:9,work:55,nodes:32,pairs:5,completionMax:16us [09m33s] 11687 ab:aaaa=bb,baabb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11687 ab:aaaa=bb,baabb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11688 solved: rounds:2,rules:2,peak:5,longest:26,steps:23,word:18,work:2223,nodes:60,pairs:14,completionMax:95us [09m33s] 11688 ab:aaaa=bb,babab=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 11688 ab:aaaa=bb,babab=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a10;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaa,b=aaaaaaaaaaaaaa [09m33s] # 11689 solved: rounds:6,rules:2,peak:5,longest:18,steps:10,word:13,work:981,nodes:36,pairs:19,completionMax:61us [09m33s] 11689 ab:aaaa=bb,babbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [09m33s] from: 11689 ab:aaaa=bb,babbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaa,b=a [09m33s] # 11690 solved: rounds:6,rules:2,peak:5,longest:18,steps:10,word:13,work:1009,nodes:36,pairs:21,completionMax:62us [09m33s] 11690 ab:aaaa=bb,bbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [09m33s] from: 11690 ab:aaaa=bb,bbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b14;saturation:a:a18=1;cancellative;smith:18;group:a-bbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaa,b=a [09m33s] # 11691 solved: rounds:2,rules:2,peak:3,longest:20,steps:2,word:11,work:48,nodes:40,pairs:4,completionMax:22us [09m33s] 11691 ab:aaaa=bb,bbbbb=1 finite:20;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:a20=1,b=a12;saturation:a:a20=1;cancellative;smith:20;group:a-aaaaaaaaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [09m33s] from: 11691 ab:aaaa=bb,bbbbb=1 finite:20;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:a20=1,b=a12;saturation:a:a20=1;cancellative;smith:20;group:a-aaaaaaaaaaaaaaaaaaa,b-aaaaaaaa to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=b,b=bbbbbbbbbbbb [09m33s] # 11692 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:30,nodes:10,pairs:3,completionMax:10us [09m33s] 11692 ab:aaab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [09m33s] from: 11692 ab:aaab=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [09m33s] # 11693 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:22,nodes:8,pairs:3,completionMax:5us [09m33s] 11693 ab:aaab=aa,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11693 ab:aaab=aa,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11694 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:21,nodes:8,pairs:3,completionMax:5us [09m33s] 11694 ab:aaab=aa,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11694 ab:aaab=aa,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11695 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:5,completionMax:8us [09m33s] 11695 ab:aaab=aa,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11695 ab:aaab=aa,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11696 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:161,nodes:16,pairs:16,completionMax:25us [09m33s] 11696 ab:aaab=aa,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11696 ab:aaab=aa,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11697 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:46,nodes:12,pairs:9,completionMax:13us [09m33s] 11697 ab:aaab=aa,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11697 ab:aaab=aa,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11698 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:0,work:231,nodes:16,pairs:21,completionMax:31us [09m33s] 11698 ab:aaab=aa,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11698 ab:aaab=aa,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11699 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:51,nodes:12,pairs:10,completionMax:13us [09m33s] 11699 ab:aaab=aa,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11699 ab:aaab=aa,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11700 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:126,nodes:16,pairs:10,completionMax:21us [09m33s] 11700 ab:aaab=aa,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11700 ab:aaab=aa,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11701 solved: rounds:2,rules:2,peak:7,longest:5,steps:7,word:0,work:288,nodes:14,pairs:12,completionMax:28us [09m33s] 11701 ab:aaab=aa,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11701 ab:aaab=aa,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11702 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:0,work:270,nodes:16,pairs:18,completionMax:25us [09m33s] 11702 ab:aaab=aa,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11702 ab:aaab=aa,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11703 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:60,nodes:14,pairs:6,completionMax:12us [09m33s] 11703 ab:aaab=aa,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11703 ab:aaab=aa,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11704 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:213,nodes:20,pairs:18,completionMax:32us [09m33s] 11704 ab:aaab=aa,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11704 ab:aaab=aa,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11705 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:133,nodes:18,pairs:7,completionMax:26us [09m33s] 11705 ab:aaab=aa,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11705 ab:aaab=aa,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11706 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:265,nodes:20,pairs:16,completionMax:41us [09m33s] 11706 ab:aaab=aa,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11706 ab:aaab=aa,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11707 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:1,work:48,nodes:18,pairs:7,completionMax:23us [09m33s] 11707 ab:aaab=aa,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11707 ab:aaab=aa,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11708 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:1,work:249,nodes:20,pairs:16,completionMax:36us [09m33s] 11708 ab:aaab=aa,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11708 ab:aaab=aa,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11709 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:215,nodes:12,pairs:17,completionMax:38us [09m33s] 11709 ab:aaab=aa,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11709 ab:aaab=aa,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11710 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:451,nodes:16,pairs:34,completionMax:67us [09m33s] 11710 ab:aaab=aa,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11710 ab:aaab=aa,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11711 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:259,nodes:16,pairs:20,completionMax:41us [09m33s] 11711 ab:aaab=aa,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11711 ab:aaab=aa,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11712 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:208,nodes:16,pairs:15,completionMax:31us [09m33s] 11712 ab:aaab=aa,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11712 ab:aaab=aa,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11713 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:253,nodes:16,pairs:20,completionMax:44us [09m33s] 11713 ab:aaab=aa,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11713 ab:aaab=aa,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11714 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:227,nodes:18,pairs:23,completionMax:48us [09m33s] 11714 ab:aaab=aa,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11714 ab:aaab=aa,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11715 solved: rounds:5,rules:2,peak:9,longest:5,steps:6,word:2,work:1065,nodes:28,pairs:30,completionMax:123us [09m33s] 11715 ab:aaab=aa,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11715 ab:aaab=aa,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11716 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:272,nodes:16,pairs:27,completionMax:40us [09m33s] 11716 ab:aaab=aa,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11716 ab:aaab=aa,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11717 solved: rounds:3,rules:2,peak:12,longest:6,steps:6,word:0,work:2670,nodes:28,pairs:20,completionMax:154us [09m33s] 11717 ab:aaab=aa,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11717 ab:aaab=aa,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11718 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:160,nodes:16,pairs:18,completionMax:27us [09m33s] 11718 ab:aaab=aa,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11718 ab:aaab=aa,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11719 solved: rounds:3,rules:2,peak:12,longest:6,steps:11,word:1,work:2511,nodes:32,pairs:69,completionMax:218us [09m33s] 11719 ab:aaab=aa,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11719 ab:aaab=aa,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11720 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:139,nodes:16,pairs:18,completionMax:23us [09m33s] 11720 ab:aaab=aa,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11720 ab:aaab=aa,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11721 solved: rounds:5,rules:2,peak:8,longest:7,steps:9,word:3,work:1352,nodes:34,pairs:32,completionMax:91us [09m33s] 11721 ab:aaab=aa,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11721 ab:aaab=aa,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11722 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:1,work:352,nodes:22,pairs:21,completionMax:46us [09m33s] 11722 ab:aaab=aa,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11722 ab:aaab=aa,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11723 solved: rounds:5,rules:3,peak:4,longest:7,steps:4,word:3,work:176,nodes:22,pairs:5,completionMax:27us [09m33s] 11723 ab:aaab=aa,bbbbb=1 infinite a/b - - ab:aaaaaaa=aa,aab=aaaaaa,bbbbb=1 [09m33s] # 11724 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:40,nodes:10,pairs:3,completionMax:8us [09m33s] 11724 ab:aaab=ab,aaaaa=1 infinite ab - - ab:ab=b,aaaaa=1 [09m33s] from: 11724 ab:aaab=ab,aaaaa=1 infinite to: 1908 ab:aab=b,aaaaa=1 infinite a=a,b=b [09m33s] # 11725 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:3,completionMax:6us [09m33s] 11725 ab:aaab=ab,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11725 ab:aaab=ab,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11726 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:57,nodes:12,pairs:9,completionMax:15us [09m33s] 11726 ab:aaab=ab,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11726 ab:aaab=ab,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11727 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:23,nodes:10,pairs:5,completionMax:10us [09m33s] 11727 ab:aaab=ab,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11727 ab:aaab=ab,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11728 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:263,nodes:16,pairs:20,completionMax:40us [09m33s] 11728 ab:aaab=ab,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11728 ab:aaab=ab,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11729 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:137,nodes:16,pairs:12,completionMax:51us [09m33s] 11729 ab:aaab=ab,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11729 ab:aaab=ab,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11730 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:208,nodes:16,pairs:18,completionMax:38us [09m33s] 11730 ab:aaab=ab,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11730 ab:aaab=ab,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11731 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:16,pairs:4,completionMax:15us [09m33s] 11731 ab:aaab=ab,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11731 ab:aaab=ab,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11732 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:210,nodes:16,pairs:16,completionMax:38us [09m33s] 11732 ab:aaab=ab,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11732 ab:aaab=ab,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11733 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:84,nodes:14,pairs:10,completionMax:25us [09m33s] 11733 ab:aaab=ab,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11733 ab:aaab=ab,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11734 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:1,work:145,nodes:16,pairs:9,completionMax:33us [09m33s] 11734 ab:aaab=ab,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11734 ab:aaab=ab,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11735 solved: rounds:5,rules:3,peak:6,longest:5,steps:4,word:0,work:277,nodes:18,pairs:11,completionMax:49us [09m33s] 11735 ab:aaab=ab,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11735 ab:aaab=ab,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11736 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:203,nodes:14,pairs:19,completionMax:42us [09m33s] 11736 ab:aaab=ab,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11736 ab:aaab=ab,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11737 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:115,nodes:18,pairs:8,completionMax:26us [09m33s] 11737 ab:aaab=ab,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11737 ab:aaab=ab,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11738 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:81,nodes:20,pairs:9,completionMax:25us [09m33s] 11738 ab:aaab=ab,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11738 ab:aaab=ab,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11739 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:3,work:31,nodes:16,pairs:5,completionMax:17us [09m33s] 11739 ab:aaab=ab,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11739 ab:aaab=ab,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11740 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:173,nodes:16,pairs:11,completionMax:37us [09m33s] 11740 ab:aaab=ab,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11740 ab:aaab=ab,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11741 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:108,nodes:12,pairs:9,completionMax:29us [09m33s] 11741 ab:aaab=ab,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11741 ab:aaab=ab,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11742 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:1,work:276,nodes:16,pairs:23,completionMax:60us [09m33s] 11742 ab:aaab=ab,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11742 ab:aaab=ab,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11743 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:316,nodes:20,pairs:16,completionMax:53us [09m33s] 11743 ab:aaab=ab,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11743 ab:aaab=ab,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11744 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:1,work:646,nodes:18,pairs:39,completionMax:77us [09m33s] 11744 ab:aaab=ab,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11744 ab:aaab=ab,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11745 solved: rounds:2,rules:3,peak:5,longest:5,steps:6,word:0,work:188,nodes:16,pairs:6,completionMax:21us [09m33s] 11745 ab:aaab=ab,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11745 ab:aaab=ab,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11746 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:272,nodes:18,pairs:9,completionMax:30us [09m33s] 11746 ab:aaab=ab,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11746 ab:aaab=ab,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11747 solved: rounds:5,rules:2,peak:5,longest:8,steps:4,word:3,work:415,nodes:18,pairs:11,completionMax:35us [09m33s] 11747 ab:aaab=ab,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11747 ab:aaab=ab,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11748 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:2,work:248,nodes:16,pairs:14,completionMax:46us [09m33s] 11748 ab:aaab=ab,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11748 ab:aaab=ab,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11749 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:188,nodes:18,pairs:16,completionMax:39us [09m33s] 11749 ab:aaab=ab,bbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11749 ab:aaab=ab,bbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11750 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:0,work:728,nodes:24,pairs:35,completionMax:97us [09m33s] 11750 ab:aaab=ab,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11750 ab:aaab=ab,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11751 solved: rounds:5,rules:2,peak:5,longest:8,steps:3,word:3,work:460,nodes:20,pairs:18,completionMax:61us [09m33s] 11751 ab:aaab=ab,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11751 ab:aaab=ab,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11752 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:216,nodes:16,pairs:11,completionMax:42us [09m33s] 11752 ab:aaab=ab,bbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11752 ab:aaab=ab,bbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11753 solved: rounds:6,rules:2,peak:5,longest:8,steps:6,word:3,work:502,nodes:20,pairs:19,completionMax:50us [09m33s] 11753 ab:aaab=ab,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11753 ab:aaab=ab,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11754 solved: rounds:4,rules:2,peak:5,longest:9,steps:1,word:3,work:191,nodes:20,pairs:13,completionMax:53us [09m33s] 11754 ab:aaab=ab,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11754 ab:aaab=ab,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11755 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:16,pairs:1,completionMax:7us [09m33s] 11755 ab:aaab=ab,bbbbb=1 infinite ab - - ab:aaa=a,bbbbb=1 [09m33s] from: 11755 ab:aaab=ab,bbbbb=1 infinite to: 1855 ab:aaa=a,bbbbb=1 infinite a=a,b=b [09m33s] # 11756 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:2,work:51,nodes:10,pairs:3,completionMax:15us [09m33s] 11756 ab:aaab=ba,aaaaa=1 infinite a/b - - ab:aaaaa=1,ab=baa [09m33s] from: 11756 ab:aaab=ba,aaaaa=1 infinite to: 4478 ab:aaba=b,aaaaa=1 infinite a=a,b=b [09m33s] # 11757 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:9,completionMax:15us [09m33s] 11757 ab:aaab=ba,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11757 ab:aaab=ba,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11758 solved: rounds:2,rules:2,peak:8,longest:4,steps:3,word:0,work:225,nodes:16,pairs:16,completionMax:33us [09m33s] 11758 ab:aaab=ba,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11758 ab:aaab=ba,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11759 solved: rounds:3,rules:2,peak:7,longest:5,steps:8,word:2,work:436,nodes:16,pairs:17,completionMax:42us [09m33s] 11759 ab:aaab=ba,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11759 ab:aaab=ba,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11760 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:202,nodes:16,pairs:19,completionMax:32us [09m33s] 11760 ab:aaab=ba,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11760 ab:aaab=ba,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11761 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:2,work:521,nodes:18,pairs:36,completionMax:72us [09m33s] 11761 ab:aaab=ba,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11761 ab:aaab=ba,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11762 solved: rounds:3,rules:2,peak:10,longest:6,steps:8,word:2,work:946,nodes:26,pairs:56,completionMax:108us [09m33s] 11762 ab:aaab=ba,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11762 ab:aaab=ba,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11763 solved: rounds:4,rules:3,peak:15,longest:5,steps:5,word:0,work:1956,nodes:34,pairs:81,completionMax:181us [09m33s] 11763 ab:aaab=ba,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11763 ab:aaab=ba,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11764 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:366,nodes:24,pairs:40,completionMax:68us [09m33s] 11764 ab:aaab=ba,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11764 ab:aaab=ba,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11765 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:2,work:411,nodes:18,pairs:16,completionMax:51us [09m33s] 11765 ab:aaab=ba,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11765 ab:aaab=ba,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11766 solved: rounds:2,rules:2,peak:5,longest:5,steps:8,word:1,work:277,nodes:16,pairs:16,completionMax:40us [09m33s] 11766 ab:aaab=ba,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11766 ab:aaab=ba,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11767 solved: rounds:4,rules:3,peak:22,longest:6,steps:4,word:0,work:8073,nodes:52,pairs:267,completionMax:775us [09m33s] 11767 ab:aaab=ba,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11767 ab:aaab=ba,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11768 solved: rounds:2,rules:2,peak:11,longest:6,steps:11,word:2,work:1303,nodes:34,pairs:28,completionMax:220us [09m33s] 11768 ab:aaab=ba,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11768 ab:aaab=ba,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11769 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:124,nodes:18,pairs:9,completionMax:19us [09m33s] 11769 ab:aaab=ba,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11769 ab:aaab=ba,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11770 solved: rounds:3,rules:3,peak:12,longest:6,steps:4,word:0,work:1604,nodes:38,pairs:70,completionMax:152us [09m33s] 11770 ab:aaab=ba,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11770 ab:aaab=ba,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11771 solved: rounds:3,rules:2,peak:4,longest:9,steps:3,word:6,work:162,nodes:26,pairs:7,completionMax:30us [09m33s] 11771 ab:aaab=ba,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11771 ab:aaab=ba,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11772 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:350,nodes:24,pairs:28,completionMax:61us [09m33s] 11772 ab:aaab=ba,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11772 ab:aaab=ba,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11773 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:1,work:294,nodes:14,pairs:16,completionMax:53us [09m33s] 11773 ab:aaab=ba,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11773 ab:aaab=ba,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11774 solved: rounds:3,rules:2,peak:12,longest:6,steps:6,word:2,work:2263,nodes:34,pairs:32,completionMax:165us [09m33s] 11774 ab:aaab=ba,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11774 ab:aaab=ba,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11775 solved: rounds:3,rules:3,peak:11,longest:6,steps:10,word:0,work:2423,nodes:40,pairs:55,completionMax:148us [09m33s] 11775 ab:aaab=ba,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11775 ab:aaab=ba,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11776 solved: rounds:3,rules:2,peak:19,longest:6,steps:27,word:2,work:12168,nodes:60,pairs:172,completionMax:578us [09m33s] 11776 ab:aaab=ba,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11776 ab:aaab=ba,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11777 solved: rounds:3,rules:3,peak:5,longest:5,steps:8,word:0,work:318,nodes:20,pairs:9,completionMax:27us [09m33s] 11777 ab:aaab=ba,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11777 ab:aaab=ba,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11778 solved: rounds:2,rules:3,peak:6,longest:6,steps:5,word:0,work:438,nodes:24,pairs:17,completionMax:38us [09m33s] 11778 ab:aaab=ba,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11778 ab:aaab=ba,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11779 solved: rounds:3,rules:2,peak:9,longest:21,steps:38,word:12,work:2887,nodes:60,pairs:36,completionMax:139us [09m33s] 11779 ab:aaab=ba,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11779 ab:aaab=ba,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11780 solved: rounds:3,rules:2,peak:13,longest:6,steps:8,word:2,work:1984,nodes:36,pairs:92,completionMax:243us [09m33s] 11780 ab:aaab=ba,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11780 ab:aaab=ba,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11781 solved: rounds:3,rules:3,peak:19,longest:6,steps:8,word:0,work:5923,nodes:46,pairs:118,completionMax:495us [09m33s] 11781 ab:aaab=ba,bbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11781 ab:aaab=ba,bbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11782 solved: rounds:3,rules:3,peak:18,longest:7,steps:5,word:0,work:3868,nodes:46,pairs:102,completionMax:372us [09m33s] 11782 ab:aaab=ba,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11782 ab:aaab=ba,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11783 solved: rounds:3,rules:2,peak:9,longest:11,steps:11,word:6,work:1688,nodes:36,pairs:31,completionMax:159us [09m33s] 11783 ab:aaab=ba,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11783 ab:aaab=ba,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11784 solved: rounds:3,rules:3,peak:15,longest:7,steps:6,word:0,work:2324,nodes:40,pairs:78,completionMax:303us [09m33s] 11784 ab:aaab=ba,bbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11784 ab:aaab=ba,bbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11785 solved: rounds:3,rules:2,peak:10,longest:17,steps:15,word:11,work:6099,nodes:60,pairs:58,completionMax:225us [09m33s] 11785 ab:aaab=ba,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11785 ab:aaab=ba,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11786 solved: rounds:3,rules:2,peak:8,longest:9,steps:3,word:3,work:445,nodes:22,pairs:16,completionMax:73us [09m33s] 11786 ab:aaab=ba,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11786 ab:aaab=ba,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11787 solved: rounds:1,rules:3,peak:3,longest:243,steps:245,word:240,work:35409,nodes:494,pairs:1,completionMax:25994us [09m33s] 11787 ab:aaab=ba,bbbbb=1 finite:1215;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=a,ba=aaab,bbbbb=1 [09m33s] # 11788 solved: rounds:1,rules:3,peak:4,longest:6,steps:3,word:2,work:75,nodes:20,pairs:3,completionMax:20us [09m33s] 11788 ab:aaab=bb,aaaaa=1 finite:30;idempotents:1,baa,bbba,bbbbb,bbaaaa,bbbbaaa b/a - - ab:bbbbbb=b,ab=bbb,aaaaa=1 [09m33s] from: 11788 ab:aaab=bb,aaaaa=1 finite:30;idempotents:1,baa,bbba,bbbbb,bbaaaa,bbbbaaa to: 4541 ab:aabb=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa anti:a=b,b=a [09m33s] # 11789 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:37,nodes:14,pairs:3,completionMax:13us [09m33s] 11789 ab:aaab=bb,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11789 ab:aaab=bb,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11790 solved: rounds:3,rules:2,peak:7,longest:15,steps:7,word:11,work:1364,nodes:26,pairs:31,completionMax:130us [09m33s] 11790 ab:aaab=bb,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11790 ab:aaab=bb,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11791 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:2,work:44,nodes:18,pairs:3,completionMax:17us [09m33s] 11791 ab:aaab=bb,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11791 ab:aaab=bb,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11792 solved: rounds:3,rules:2,peak:7,longest:12,steps:5,word:2,work:1123,nodes:36,pairs:15,completionMax:89us [09m33s] 11792 ab:aaab=bb,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11792 ab:aaab=bb,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11793 solved: rounds:3,rules:2,peak:8,longest:18,steps:2,word:13,work:1776,nodes:54,pairs:28,completionMax:162us [09m33s] 11793 ab:aaab=bb,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11793 ab:aaab=bb,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11794 solved: rounds:3,rules:2,peak:6,longest:9,steps:5,word:2,work:588,nodes:24,pairs:17,completionMax:64us [09m33s] 11794 ab:aaab=bb,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11794 ab:aaab=bb,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11795 solved: rounds:2,rules:2,peak:3,longest:11,steps:2,word:4,work:52,nodes:22,pairs:3,completionMax:18us [09m33s] 11795 ab:aaab=bb,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11795 ab:aaab=bb,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11796 solved: rounds:3,rules:2,peak:8,longest:12,steps:8,word:4,work:1524,nodes:36,pairs:17,completionMax:127us [09m33s] 11796 ab:aaab=bb,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11796 ab:aaab=bb,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11797 solved: rounds:2,rules:2,peak:5,longest:9,steps:5,word:4,work:257,nodes:20,pairs:9,completionMax:41us [09m33s] 11797 ab:aaab=bb,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11797 ab:aaab=bb,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11798 solved: rounds:3,rules:2,peak:4,longest:9,steps:10,word:4,work:296,nodes:18,pairs:10,completionMax:33us [09m33s] 11798 ab:aaab=bb,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11798 ab:aaab=bb,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11799 solved: rounds:2,rules:2,peak:5,longest:11,steps:2,word:2,work:213,nodes:28,pairs:9,completionMax:35us [09m33s] 11799 ab:aaab=bb,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11799 ab:aaab=bb,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11800 solved: rounds:3,rules:2,peak:8,longest:9,steps:4,word:2,work:1327,nodes:38,pairs:43,completionMax:123us [09m33s] 11800 ab:aaab=bb,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11800 ab:aaab=bb,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11801 solved: rounds:3,rules:2,peak:11,longest:16,steps:4,word:4,work:4250,nodes:68,pairs:76,completionMax:508us [09m33s] 11801 ab:aaab=bb,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11801 ab:aaab=bb,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11802 solved: rounds:3,rules:2,peak:7,longest:11,steps:7,word:4,work:1149,nodes:38,pairs:32,completionMax:169us [09m33s] 11802 ab:aaab=bb,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11802 ab:aaab=bb,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11803 solved: rounds:2,rules:2,peak:3,longest:13,steps:3,word:6,work:61,nodes:26,pairs:3,completionMax:27us [09m33s] 11803 ab:aaab=bb,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11803 ab:aaab=bb,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11804 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:4,work:37,nodes:14,pairs:3,completionMax:14us [09m33s] 11804 ab:aaab=bb,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11804 ab:aaab=bb,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11805 solved: rounds:1,rules:2,peak:4,longest:9,steps:3,word:2,work:77,nodes:26,pairs:4,completionMax:23us [09m33s] 11805 ab:aaab=bb,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11805 ab:aaab=bb,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11806 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:56,nodes:18,pairs:5,completionMax:22us [09m33s] 11806 ab:aaab=bb,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11806 ab:aaab=bb,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11807 solved: rounds:2,rules:2,peak:4,longest:14,steps:2,word:4,work:302,nodes:40,pairs:6,completionMax:58us [09m33s] 11807 ab:aaab=bb,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11807 ab:aaab=bb,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11808 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:52,nodes:18,pairs:4,completionMax:21us [09m33s] 11808 ab:aaab=bb,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11808 ab:aaab=bb,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11809 solved: rounds:2,rules:2,peak:4,longest:14,steps:3,word:6,work:341,nodes:36,pairs:8,completionMax:41us [09m33s] 11809 ab:aaab=bb,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11809 ab:aaab=bb,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11810 solved: rounds:2,rules:2,peak:3,longest:11,steps:2,word:4,work:68,nodes:22,pairs:5,completionMax:26us [09m33s] 11810 ab:aaab=bb,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11810 ab:aaab=bb,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11811 solved: rounds:2,rules:2,peak:4,longest:16,steps:2,word:4,work:354,nodes:48,pairs:6,completionMax:58us [09m33s] 11811 ab:aaab=bb,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11811 ab:aaab=bb,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11812 solved: rounds:3,rules:2,peak:7,longest:15,steps:5,word:2,work:1758,nodes:48,pairs:18,completionMax:122us [09m33s] 11812 ab:aaab=bb,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11812 ab:aaab=bb,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11813 solved: rounds:2,rules:2,peak:6,longest:11,steps:3,word:4,work:502,nodes:42,pairs:11,completionMax:44us [09m33s] 11813 ab:aaab=bb,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11813 ab:aaab=bb,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11814 solved: rounds:3,rules:2,peak:9,longest:16,steps:4,word:4,work:2133,nodes:64,pairs:19,completionMax:130us [09m33s] 11814 ab:aaab=bb,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11814 ab:aaab=bb,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11815 solved: rounds:2,rules:2,peak:5,longest:13,steps:4,word:4,work:279,nodes:28,pairs:9,completionMax:40us [09m33s] 11815 ab:aaab=bb,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11815 ab:aaab=bb,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11816 solved: rounds:3,rules:2,peak:8,longest:11,steps:4,word:4,work:1548,nodes:44,pairs:42,completionMax:146us [09m33s] 11816 ab:aaab=bb,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11816 ab:aaab=bb,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11817 solved: rounds:3,rules:2,peak:10,longest:18,steps:4,word:4,work:2803,nodes:68,pairs:35,completionMax:182us [09m33s] 11817 ab:aaab=bb,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11817 ab:aaab=bb,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11818 solved: rounds:3,rules:2,peak:7,longest:15,steps:7,word:6,work:2423,nodes:52,pairs:42,completionMax:200us [09m33s] 11818 ab:aaab=bb,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11818 ab:aaab=bb,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11819 solved: rounds:2,rules:2,peak:3,longest:15,steps:4,word:8,work:71,nodes:30,pairs:3,completionMax:22us [09m33s] 11819 ab:aaab=bb,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11819 ab:aaab=bb,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [09m33s] # 11820 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:3,work:71,nodes:14,pairs:7,completionMax:16us [09m33s] 11820 ab:aaba=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [09m33s] from: 11820 ab:aaba=aa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [09m33s] # 11821 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:1,work:104,nodes:12,pairs:9,completionMax:40us [09m33s] 11821 ab:aaba=aa,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11821 ab:aaba=aa,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11822 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:63,nodes:10,pairs:9,completionMax:19us [09m33s] 11822 ab:aaba=aa,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11822 ab:aaba=aa,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11823 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:29,nodes:12,pairs:4,completionMax:18us [09m33s] 11823 ab:aaba=aa,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11823 ab:aaba=aa,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11824 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:62,nodes:10,pairs:9,completionMax:12us [09m33s] 11824 ab:aaba=aa,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11824 ab:aaba=aa,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11825 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:4,completionMax:8us [09m33s] 11825 ab:aaba=aa,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11825 ab:aaba=aa,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11826 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:203,nodes:14,pairs:11,completionMax:26us [09m33s] 11826 ab:aaba=aa,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11826 ab:aaba=aa,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11827 solved: rounds:5,rules:2,peak:3,longest:5,steps:2,word:0,work:28,nodes:10,pairs:6,completionMax:14us [09m33s] 11827 ab:aaba=aa,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11827 ab:aaba=aa,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11828 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:173,nodes:18,pairs:14,completionMax:42us [09m33s] 11828 ab:aaba=aa,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11828 ab:aaba=aa,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11829 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:282,nodes:16,pairs:28,completionMax:47us [09m33s] 11829 ab:aaba=aa,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11829 ab:aaba=aa,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11830 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:189,nodes:16,pairs:11,completionMax:31us [09m33s] 11830 ab:aaba=aa,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11830 ab:aaba=aa,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11831 solved: rounds:4,rules:2,peak:4,longest:5,steps:4,word:0,work:82,nodes:14,pairs:8,completionMax:22us [09m33s] 11831 ab:aaba=aa,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11831 ab:aaba=aa,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11832 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:94,nodes:16,pairs:11,completionMax:24us [09m33s] 11832 ab:aaba=aa,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11832 ab:aaba=aa,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11833 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:122,nodes:18,pairs:13,completionMax:26us [09m33s] 11833 ab:aaba=aa,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11833 ab:aaba=aa,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11834 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:208,nodes:20,pairs:11,completionMax:36us [09m33s] 11834 ab:aaba=aa,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11834 ab:aaba=aa,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11835 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:49,nodes:14,pairs:7,completionMax:21us [09m33s] 11835 ab:aaba=aa,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11835 ab:aaba=aa,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11836 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:115,nodes:20,pairs:6,completionMax:22us [09m33s] 11836 ab:aaba=aa,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11836 ab:aaba=aa,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11837 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:224,nodes:18,pairs:22,completionMax:50us [09m33s] 11837 ab:aaba=aa,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11837 ab:aaba=aa,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11838 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:96,nodes:12,pairs:6,completionMax:18us [09m33s] 11838 ab:aaba=aa,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11838 ab:aaba=aa,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11839 solved: rounds:4,rules:2,peak:12,longest:5,steps:4,word:0,work:1370,nodes:20,pairs:81,completionMax:128us [09m33s] 11839 ab:aaba=aa,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11839 ab:aaba=aa,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11840 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:108,nodes:16,pairs:7,completionMax:19us [09m33s] 11840 ab:aaba=aa,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11840 ab:aaba=aa,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11841 solved: rounds:3,rules:2,peak:4,longest:5,steps:6,word:0,work:216,nodes:16,pairs:15,completionMax:23us [09m33s] 11841 ab:aaba=aa,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11841 ab:aaba=aa,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11842 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:264,nodes:20,pairs:14,completionMax:49us [09m33s] 11842 ab:aaba=aa,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11842 ab:aaba=aa,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11843 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:2,work:440,nodes:24,pairs:33,completionMax:84us [09m33s] 11843 ab:aaba=aa,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11843 ab:aaba=aa,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11844 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:29,nodes:16,pairs:4,completionMax:10us [09m33s] 11844 ab:aaba=aa,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11844 ab:aaba=aa,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11845 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:193,nodes:20,pairs:13,completionMax:45us [09m33s] 11845 ab:aaba=aa,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11845 ab:aaba=aa,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11846 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:48,nodes:18,pairs:5,completionMax:13us [09m33s] 11846 ab:aaba=aa,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11846 ab:aaba=aa,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11847 solved: rounds:5,rules:2,peak:6,longest:5,steps:4,word:1,work:879,nodes:22,pairs:28,completionMax:88us [09m33s] 11847 ab:aaba=aa,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11847 ab:aaba=aa,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11848 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:30,nodes:16,pairs:4,completionMax:9us [09m33s] 11848 ab:aaba=aa,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11848 ab:aaba=aa,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11849 solved: rounds:6,rules:2,peak:5,longest:5,steps:4,word:2,work:250,nodes:18,pairs:19,completionMax:33us [09m33s] 11849 ab:aaba=aa,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11849 ab:aaba=aa,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11850 solved: rounds:5,rules:2,peak:4,longest:5,steps:2,word:1,work:76,nodes:18,pairs:9,completionMax:20us [09m33s] 11850 ab:aaba=aa,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11850 ab:aaba=aa,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11851 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:9,nodes:16,pairs:0,completionMax:3us [09m33s] 11851 ab:aaba=aa,bbbbb=1 infinite ab - - ab:aaba=aa,bbbbb=1 [09m33s] # 11852 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:4,work:284,nodes:14,pairs:8,completionMax:44us [09m33s] 11852 ab:aaba=ab,aaaaa=1 infinite a/b - - ab:aaaaa=1,ab=baaaa [09m33s] from: 11852 ab:aaba=ab,aaaaa=1 infinite to: 1960 ab:aba=b,aaaaa=1 infinite a=a,b=b [09m33s] # 11853 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:400,nodes:18,pairs:24,completionMax:42us [09m33s] 11853 ab:aaba=ab,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11853 ab:aaba=ab,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11854 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:8,pairs:5,completionMax:7us [09m33s] 11854 ab:aaba=ab,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11854 ab:aaba=ab,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11855 solved: rounds:4,rules:3,peak:15,longest:6,steps:8,word:8,work:3243,nodes:36,pairs:80,completionMax:367us [09m33s] 11855 ab:aaba=ab,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [09m33s] from: 11855 ab:aaba=ab,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11856 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:40,nodes:10,pairs:5,completionMax:14us [09m33s] 11856 ab:aaba=ab,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11856 ab:aaba=ab,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11857 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:2,work:211,nodes:20,pairs:15,completionMax:47us [09m33s] 11857 ab:aaba=ab,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11857 ab:aaba=ab,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11858 solved: rounds:4,rules:3,peak:11,longest:6,steps:6,word:8,work:1996,nodes:26,pairs:53,completionMax:216us [09m33s] 11858 ab:aaba=ab,aabba=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [09m33s] from: 11858 ab:aaba=ab,aabba=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11859 solved: rounds:3,rules:3,peak:10,longest:6,steps:5,word:0,work:1254,nodes:24,pairs:55,completionMax:130us [09m33s] 11859 ab:aaba=ab,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11859 ab:aaba=ab,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11860 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:235,nodes:16,pairs:16,completionMax:33us [09m33s] 11860 ab:aaba=ab,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11860 ab:aaba=ab,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11861 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:1,work:720,nodes:26,pairs:27,completionMax:206us [09m33s] 11861 ab:aaba=ab,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11861 ab:aaba=ab,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11862 solved: rounds:2,rules:2,peak:7,longest:9,steps:14,word:3,work:590,nodes:30,pairs:27,completionMax:70us [09m33s] 11862 ab:aaba=ab,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11862 ab:aaba=ab,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11863 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:0,work:630,nodes:26,pairs:30,completionMax:77us [09m33s] 11863 ab:aaba=ab,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11863 ab:aaba=ab,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11864 solved: rounds:3,rules:3,peak:14,longest:11,steps:8,word:8,work:4594,nodes:44,pairs:39,completionMax:236us [09m33s] 11864 ab:aaba=ab,abbaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [09m33s] from: 11864 ab:aaba=ab,abbaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11865 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:277,nodes:20,pairs:15,completionMax:28us [09m33s] 11865 ab:aaba=ab,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11865 ab:aaba=ab,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11866 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:0,work:340,nodes:20,pairs:17,completionMax:52us [09m33s] 11866 ab:aaba=ab,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11866 ab:aaba=ab,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11867 solved: rounds:2,rules:2,peak:6,longest:10,steps:4,word:6,work:534,nodes:34,pairs:13,completionMax:59us [09m33s] 11867 ab:aaba=ab,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11867 ab:aaba=ab,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11868 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:408,nodes:22,pairs:23,completionMax:72us [09m33s] 11868 ab:aaba=ab,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11868 ab:aaba=ab,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11869 solved: rounds:3,rules:3,peak:11,longest:8,steps:6,word:4,work:1464,nodes:36,pairs:29,completionMax:162us [09m33s] 11869 ab:aaba=ab,baaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [09m33s] from: 11869 ab:aaba=ab,baaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11870 solved: rounds:3,rules:2,peak:5,longest:7,steps:9,word:2,work:357,nodes:18,pairs:14,completionMax:45us [09m33s] 11870 ab:aaba=ab,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11870 ab:aaba=ab,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11871 solved: rounds:2,rules:3,peak:17,longest:5,steps:4,word:0,work:1943,nodes:34,pairs:24,completionMax:183us [09m33s] 11871 ab:aaba=ab,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11871 ab:aaba=ab,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11872 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:6,work:410,nodes:18,pairs:23,completionMax:62us [09m33s] 11872 ab:aaba=ab,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11872 ab:aaba=ab,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11873 solved: rounds:3,rules:3,peak:4,longest:5,steps:5,word:0,work:232,nodes:18,pairs:12,completionMax:32us [09m33s] 11873 ab:aaba=ab,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11873 ab:aaba=ab,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11874 solved: rounds:2,rules:3,peak:9,longest:5,steps:3,word:0,work:453,nodes:20,pairs:21,completionMax:74us [09m33s] 11874 ab:aaba=ab,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11874 ab:aaba=ab,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11875 solved: rounds:3,rules:2,peak:10,longest:15,steps:7,word:14,work:4007,nodes:46,pairs:31,completionMax:202us [09m33s] 11875 ab:aaba=ab,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11875 ab:aaba=ab,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11876 solved: rounds:5,rules:3,peak:10,longest:8,steps:11,word:7,work:1985,nodes:36,pairs:27,completionMax:162us [09m33s] 11876 ab:aaba=ab,bbaaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [09m33s] from: 11876 ab:aaba=ab,bbaaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [09m33s] # 11877 solved: rounds:3,rules:3,peak:11,longest:5,steps:5,word:0,work:1906,nodes:28,pairs:79,completionMax:236us [09m33s] 11877 ab:aaba=ab,bbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11877 ab:aaba=ab,bbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11878 solved: rounds:4,rules:3,peak:4,longest:5,steps:2,word:0,work:122,nodes:18,pairs:8,completionMax:27us [09m33s] 11878 ab:aaba=ab,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11878 ab:aaba=ab,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11879 solved: rounds:5,rules:2,peak:7,longest:8,steps:4,word:3,work:869,nodes:32,pairs:26,completionMax:81us [09m33s] 11879 ab:aaba=ab,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11879 ab:aaba=ab,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11880 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:555,nodes:24,pairs:28,completionMax:62us [09m33s] 11880 ab:aaba=ab,bbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11880 ab:aaba=ab,bbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11881 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:6,work:940,nodes:28,pairs:28,completionMax:93us [09m33s] 11881 ab:aaba=ab,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11881 ab:aaba=ab,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11882 solved: rounds:4,rules:2,peak:4,longest:9,steps:3,word:3,work:176,nodes:26,pairs:9,completionMax:38us [09m33s] 11882 ab:aaba=ab,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11882 ab:aaba=ab,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11883 solved: rounds:4,rules:6,peak:10,longest:7,steps:4,word:0,work:1626,nodes:32,pairs:29,completionMax:128us [09m33s] 11883 ab:aaba=ab,bbbbb=1 finite:55;idempotents:1,aa,baabbbb,bbaabbb,bbbaabb,bbbbaab ab - - ab:aaa=a,aba=aab,abba=aabb,abbba=aabbb,bbbbb=1,abbbba=aabbbb [09m33s] # 11884 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:115,nodes:14,pairs:10,completionMax:24us [09m33s] 11884 ab:aaba=ba,aaaaa=1 infinite ab - - ab:ab=b,aaaaa=1 [09m33s] from: 11884 ab:aaba=ba,aaaaa=1 infinite to: 1908 ab:aab=b,aaaaa=1 infinite a=a,b=b [09m33s] # 11885 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:100,nodes:14,pairs:12,completionMax:27us [09m33s] 11885 ab:aaba=ba,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11885 ab:aaba=ba,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11886 solved: rounds:1,rules:2,peak:5,longest:4,steps:4,word:0,work:68,nodes:10,pairs:5,completionMax:16us [09m33s] 11886 ab:aaba=ba,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11886 ab:aaba=ba,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11887 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:33,nodes:12,pairs:7,completionMax:16us [09m33s] 11887 ab:aaba=ba,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11887 ab:aaba=ba,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11888 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:104,nodes:16,pairs:11,completionMax:26us [09m33s] 11888 ab:aaba=ba,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11888 ab:aaba=ba,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11889 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:1,work:89,nodes:12,pairs:5,completionMax:18us [09m33s] 11889 ab:aaba=ba,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11889 ab:aaba=ba,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11890 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:1,work:132,nodes:14,pairs:9,completionMax:25us [09m33s] 11890 ab:aaba=ba,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11890 ab:aaba=ba,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11891 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:10,pairs:4,completionMax:13us [09m33s] 11891 ab:aaba=ba,aabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11891 ab:aaba=ba,aabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11892 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:635,nodes:24,pairs:41,completionMax:110us [09m33s] 11892 ab:aaba=ba,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11892 ab:aaba=ba,abaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11893 solved: rounds:2,rules:2,peak:7,longest:8,steps:4,word:3,work:468,nodes:30,pairs:23,completionMax:76us [09m33s] 11893 ab:aaba=ba,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11893 ab:aaba=ba,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11894 solved: rounds:2,rules:2,peak:6,longest:8,steps:14,word:3,work:604,nodes:28,pairs:22,completionMax:46us [09m33s] 11894 ab:aaba=ba,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11894 ab:aaba=ba,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11895 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:326,nodes:20,pairs:16,completionMax:37us [09m33s] 11895 ab:aaba=ba,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11895 ab:aaba=ba,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11896 solved: rounds:3,rules:2,peak:11,longest:6,steps:3,word:1,work:803,nodes:24,pairs:51,completionMax:97us [09m33s] 11896 ab:aaba=ba,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11896 ab:aaba=ba,abbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11897 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:147,nodes:18,pairs:10,completionMax:20us [09m33s] 11897 ab:aaba=ba,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11897 ab:aaba=ba,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11898 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:236,nodes:26,pairs:18,completionMax:53us [09m33s] 11898 ab:aaba=ba,abbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11898 ab:aaba=ba,abbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11899 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:3,work:43,nodes:16,pairs:6,completionMax:13us [09m33s] 11899 ab:aaba=ba,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11899 ab:aaba=ba,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11900 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:148,nodes:20,pairs:12,completionMax:20us [09m33s] 11900 ab:aaba=ba,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 11900 ab:aaba=ba,baaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 11901 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:1,work:186,nodes:18,pairs:13,completionMax:26us [09m33s] 11901 ab:aaba=ba,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11901 ab:aaba=ba,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11902 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:87,nodes:14,pairs:9,completionMax:18us [09m33s] 11902 ab:aaba=ba,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11902 ab:aaba=ba,baaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11903 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:4,completionMax:9us [09m33s] 11903 ab:aaba=ba,baabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11903 ab:aaba=ba,baabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11904 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:1,work:338,nodes:20,pairs:21,completionMax:34us [09m33s] 11904 ab:aaba=ba,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11904 ab:aaba=ba,babaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11905 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:128,nodes:16,pairs:7,completionMax:22us [09m33s] 11905 ab:aaba=ba,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11905 ab:aaba=ba,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11906 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:191,nodes:20,pairs:13,completionMax:36us [09m33s] 11906 ab:aaba=ba,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11906 ab:aaba=ba,babba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11907 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:358,nodes:24,pairs:12,completionMax:43us [09m33s] 11907 ab:aaba=ba,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11907 ab:aaba=ba,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11908 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:1,work:1066,nodes:32,pairs:63,completionMax:152us [09m33s] 11908 ab:aaba=ba,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 11908 ab:aaba=ba,bbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 11909 solved: rounds:2,rules:2,peak:9,longest:5,steps:2,word:0,work:349,nodes:20,pairs:11,completionMax:56us [09m33s] 11909 ab:aaba=ba,bbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11909 ab:aaba=ba,bbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11910 solved: rounds:4,rules:3,peak:12,longest:8,steps:3,word:0,work:1513,nodes:32,pairs:82,completionMax:194us [09m33s] 11910 ab:aaba=ba,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 11910 ab:aaba=ba,bbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 11911 solved: rounds:5,rules:2,peak:7,longest:8,steps:4,word:3,work:673,nodes:26,pairs:22,completionMax:78us [09m33s] 11911 ab:aaba=ba,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11911 ab:aaba=ba,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11912 solved: rounds:3,rules:2,peak:10,longest:8,steps:2,word:0,work:670,nodes:30,pairs:19,completionMax:87us [09m33s] 11912 ab:aaba=ba,bbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [09m33s] from: 11912 ab:aaba=ba,bbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [09m33s] # 11913 solved: rounds:4,rules:2,peak:7,longest:13,steps:10,word:9,work:1305,nodes:42,pairs:25,completionMax:126us [09m33s] 11913 ab:aaba=ba,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11913 ab:aaba=ba,bbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11914 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:3,work:393,nodes:20,pairs:22,completionMax:56us [09m33s] 11914 ab:aaba=ba,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 11914 ab:aaba=ba,bbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 11915 solved: rounds:3,rules:6,peak:6,longest:7,steps:2,word:0,work:399,nodes:22,pairs:8,completionMax:35us [09m33s] 11915 ab:aaba=ba,bbbbb=1 infinite ab - - ab:aaa=a,aaba=ba,aabba=bba,bbbbb=1,aabbba=bbba,aabbbba=bbbba [09m33s] # 11916 solved: rounds:5,rules:7,peak:24,longest:17,steps:23,word:7,work:98715,nodes:220,pairs:336,completionMax:3671us [09m33s] 11916 ab:aaba=bb,aaaaa=1 finite:60;idempotents:1,babaabaaa;center:1,babaabaaa a/b - - ab:aaaaa=1,bb=aaba,baaaab=aaaabaaa,abab=baaabaaaa,abaaab=baabaa,aaabaab=babaaaa,baabaab=aaabaa [09m33s] # 11917 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:32,nodes:14,pairs:3,completionMax:15us [09m33s] 11917 ab:aaba=bb,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11917 ab:aaba=bb,aaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11918 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:4,work:416,nodes:20,pairs:18,completionMax:41us [09m33s] 11918 ab:aaba=bb,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11918 ab:aaba=bb,aaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11919 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:4,work:467,nodes:26,pairs:17,completionMax:43us [09m33s] 11919 ab:aaba=bb,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11919 ab:aaba=bb,aaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11920 solved: rounds:3,rules:2,peak:7,longest:12,steps:5,word:2,work:1105,nodes:36,pairs:15,completionMax:79us [09m33s] 11920 ab:aaba=bb,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11920 ab:aaba=bb,aabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11921 solved: rounds:3,rules:2,peak:6,longest:9,steps:8,word:4,work:622,nodes:26,pairs:26,completionMax:91us [09m33s] 11921 ab:aaba=bb,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11921 ab:aaba=bb,aabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11922 solved: rounds:3,rules:2,peak:11,longest:15,steps:13,word:6,work:4525,nodes:70,pairs:61,completionMax:357us [09m33s] 11922 ab:aaba=bb,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11922 ab:aaba=bb,aabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11923 solved: rounds:4,rules:2,peak:12,longest:18,steps:24,word:4,work:10884,nodes:80,pairs:80,completionMax:419us [09m33s] 11923 ab:aaba=bb,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11923 ab:aaba=bb,aabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11924 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:18,work:1987,nodes:22,pairs:40,completionMax:120us [09m33s] 11924 ab:aaba=bb,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11924 ab:aaba=bb,abaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11925 solved: rounds:1,rules:2,peak:5,longest:9,steps:6,word:4,work:162,nodes:26,pairs:3,completionMax:18us [09m33s] 11925 ab:aaba=bb,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11925 ab:aaba=bb,abaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11926 solved: rounds:3,rules:2,peak:4,longest:9,steps:10,word:4,work:262,nodes:18,pairs:10,completionMax:26us [09m33s] 11926 ab:aaba=bb,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11926 ab:aaba=bb,ababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11927 solved: rounds:3,rules:2,peak:8,longest:11,steps:15,word:6,work:2126,nodes:34,pairs:37,completionMax:102us [09m33s] 11927 ab:aaba=bb,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11927 ab:aaba=bb,ababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11928 solved: rounds:3,rules:2,peak:8,longest:15,steps:14,word:6,work:3238,nodes:52,pairs:23,completionMax:190us [09m33s] 11928 ab:aaba=bb,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11928 ab:aaba=bb,abbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11929 solved: rounds:5,rules:2,peak:10,longest:12,steps:19,word:4,work:10710,nodes:70,pairs:77,completionMax:513us [09m33s] 11929 ab:aaba=bb,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11929 ab:aaba=bb,abbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11930 solved: rounds:4,rules:2,peak:12,longest:12,steps:17,word:6,work:22421,nodes:72,pairs:155,completionMax:961us [09m33s] 11930 ab:aaba=bb,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11930 ab:aaba=bb,abbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11931 solved: rounds:3,rules:2,peak:7,longest:13,steps:16,word:4,work:1303,nodes:32,pairs:21,completionMax:100us [09m33s] 11931 ab:aaba=bb,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11931 ab:aaba=bb,abbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11932 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:4,work:32,nodes:14,pairs:3,completionMax:10us [09m33s] 11932 ab:aaba=bb,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [09m33s] from: 11932 ab:aaba=bb,baaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [09m33s] # 11933 solved: rounds:4,rules:2,peak:9,longest:9,steps:10,word:4,work:3517,nodes:42,pairs:55,completionMax:183us [09m33s] 11933 ab:aaba=bb,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11933 ab:aaba=bb,baaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11934 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:4,work:207,nodes:18,pairs:14,completionMax:31us [09m33s] 11934 ab:aaba=bb,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11934 ab:aaba=bb,baaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11935 solved: rounds:3,rules:2,peak:16,longest:33,steps:41,word:28,work:37992,nodes:132,pairs:46,completionMax:1024us [09m33s] 11935 ab:aaba=bb,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11935 ab:aaba=bb,baabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11936 solved: rounds:3,rules:2,peak:11,longest:12,steps:8,word:4,work:5706,nodes:48,pairs:101,completionMax:439us [09m33s] 11936 ab:aaba=bb,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11936 ab:aaba=bb,babaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11937 solved: rounds:3,rules:2,peak:5,longest:12,steps:21,word:4,work:1027,nodes:44,pairs:20,completionMax:60us [09m33s] 11937 ab:aaba=bb,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11937 ab:aaba=bb,babab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11938 solved: rounds:2,rules:2,peak:5,longest:11,steps:6,word:4,work:329,nodes:26,pairs:11,completionMax:48us [09m33s] 11938 ab:aaba=bb,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11938 ab:aaba=bb,babba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11939 solved: rounds:3,rules:2,peak:11,longest:14,steps:19,word:4,work:8496,nodes:58,pairs:86,completionMax:484us [09m33s] 11939 ab:aaba=bb,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11939 ab:aaba=bb,babbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11940 solved: rounds:3,rules:2,peak:10,longest:16,steps:6,word:13,work:4424,nodes:56,pairs:23,completionMax:243us [09m33s] 11940 ab:aaba=bb,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [09m33s] from: 11940 ab:aaba=bb,bbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [09m33s] # 11941 solved: rounds:2,rules:2,peak:5,longest:11,steps:3,word:4,work:159,nodes:22,pairs:8,completionMax:28us [09m33s] 11941 ab:aaba=bb,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11941 ab:aaba=bb,bbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11942 solved: rounds:3,rules:2,peak:7,longest:19,steps:21,word:13,work:2892,nodes:56,pairs:24,completionMax:170us [09m33s] 11942 ab:aaba=bb,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11942 ab:aaba=bb,bbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11943 solved: rounds:3,rules:2,peak:12,longest:16,steps:12,word:6,work:4562,nodes:72,pairs:47,completionMax:304us [09m33s] 11943 ab:aaba=bb,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11943 ab:aaba=bb,bbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11944 solved: rounds:3,rules:2,peak:9,longest:20,steps:10,word:6,work:6801,nodes:68,pairs:27,completionMax:318us [09m33s] 11944 ab:aaba=bb,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [09m33s] from: 11944 ab:aaba=bb,bbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 11945 solved: rounds:3,rules:2,peak:14,longest:16,steps:38,word:6,work:20012,nodes:104,pairs:81,completionMax:568us [09m33s] 11945 ab:aaba=bb,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11945 ab:aaba=bb,bbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11946 solved: rounds:3,rules:2,peak:7,longest:17,steps:14,word:6,work:3645,nodes:62,pairs:27,completionMax:205us [09m33s] 11946 ab:aaba=bb,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [09m33s] from: 11946 ab:aaba=bb,bbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [09m33s] # 11947 solved: rounds:5,rules:9,peak:30,longest:24,steps:27,word:19,work:388154,nodes:302,pairs:1215,completionMax:16804us [09m33s] 11947 ab:aaba=bb,bbbbb=1 finite:165;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-abaabaaa a/b - - ab:aaaaaaaaaaaaaaa=1,aaaaab=baaaaa,bb=aaba,baaaab=aaaabaaa,abab=baaabaaaaaaaaaaaaaa,abaaab=baabaa,aaabaab=babaaaa,babaab=aaaaaaaaaaaa,baabaab=aaabaaaaaaa [09m33s] # 11948 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:13,nodes:14,pairs:2,completionMax:11us [09m33s] 11948 ab:aabb=aa,aaaaa=1 infinite;group:a-aaaa,b-b ab - - ab:bb=1,aaaaa=1 [09m33s] from: 11948 ab:aabb=aa,aaaaa=1 infinite;group:a-aaaa,b-b to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=b,b=a [09m33s] # 11949 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:18,nodes:16,pairs:3,completionMax:15us [09m33s] 11949 ab:aabb=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 11949 ab:aabb=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 11950 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:6,work:339,nodes:18,pairs:19,completionMax:87us [09m33s] 11950 ab:aabb=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 11950 ab:aabb=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 11951 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:2,completionMax:8us [09m33s] 11951 ab:aabb=aa,aaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 11951 ab:aabb=aa,aaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 11952 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:307,nodes:22,pairs:11,completionMax:59us [09m33s] 11952 ab:aabb=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 11952 ab:aabb=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 11953 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [09m33s] 11953 ab:aabb=aa,aabab=1 infinite ab - - ab:aabb=aa,aabab=1 [09m33s] # 11954 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:10,pairs:2,completionMax:8us [09m33s] 11954 ab:aabb=aa,aabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 11954 ab:aabb=aa,aabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 11955 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:2,completionMax:6us [09m33s] 11955 ab:aabb=aa,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11955 ab:aabb=aa,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11956 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:370,nodes:24,pairs:12,completionMax:40us [09m33s] 11956 ab:aabb=aa,abaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 11956 ab:aabb=aa,abaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 11957 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:232,nodes:16,pairs:10,completionMax:36us [09m33s] 11957 ab:aabb=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 11957 ab:aabb=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 11958 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:116,nodes:16,pairs:7,completionMax:21us [09m33s] 11958 ab:aabb=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 11958 ab:aabb=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 11959 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 11959 ab:aabb=aa,ababb=1 infinite ab - - ab:aabb=aa,ababb=1 [09m33s] # 11960 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:72,nodes:18,pairs:7,completionMax:22us [09m33s] 11960 ab:aabb=aa,abbaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 11960 ab:aabb=aa,abbaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 11961 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:2,work:111,nodes:16,pairs:14,completionMax:38us [09m33s] 11961 ab:aabb=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11961 ab:aabb=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11962 solved: rounds:2,rules:2,peak:7,longest:5,steps:5,word:2,work:340,nodes:20,pairs:13,completionMax:49us [09m33s] 11962 ab:aabb=aa,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11962 ab:aabb=aa,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11963 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:44,nodes:14,pairs:4,completionMax:14us [09m33s] 11963 ab:aabb=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11963 ab:aabb=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11964 solved: rounds:3,rules:2,peak:5,longest:10,steps:1,word:3,work:223,nodes:28,pairs:12,completionMax:50us [09m33s] 11964 ab:aabb=aa,baaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 11964 ab:aabb=aa,baaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 11965 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:82,nodes:18,pairs:11,completionMax:30us [09m33s] 11965 ab:aabb=aa,baaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 11965 ab:aabb=aa,baaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 11966 solved: rounds:2,rules:3,peak:10,longest:6,steps:4,word:0,work:917,nodes:26,pairs:14,completionMax:85us [09m33s] 11966 ab:aabb=aa,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 11966 ab:aabb=aa,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 11967 solved: rounds:3,rules:2,peak:5,longest:6,steps:1,word:1,work:140,nodes:16,pairs:12,completionMax:36us [09m33s] 11967 ab:aabb=aa,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11967 ab:aabb=aa,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11968 solved: rounds:4,rules:3,peak:6,longest:6,steps:3,word:0,work:543,nodes:28,pairs:25,completionMax:75us [09m33s] 11968 ab:aabb=aa,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 11968 ab:aabb=aa,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 11969 solved: rounds:3,rules:2,peak:6,longest:6,steps:7,word:2,work:587,nodes:28,pairs:21,completionMax:61us [09m33s] 11969 ab:aabb=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11969 ab:aabb=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11970 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:3,work:422,nodes:18,pairs:17,completionMax:71us [09m33s] 11970 ab:aabb=aa,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11970 ab:aabb=aa,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11971 solved: rounds:3,rules:2,peak:8,longest:5,steps:7,word:0,work:379,nodes:18,pairs:34,completionMax:70us [09m33s] 11971 ab:aabb=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11971 ab:aabb=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11972 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:222,nodes:24,pairs:9,completionMax:37us [09m33s] 11972 ab:aabb=aa,bbaaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 11972 ab:aabb=aa,bbaaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 11973 solved: rounds:3,rules:2,peak:10,longest:6,steps:3,word:1,work:547,nodes:24,pairs:36,completionMax:101us [09m33s] 11973 ab:aabb=aa,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11973 ab:aabb=aa,bbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11974 solved: rounds:3,rules:2,peak:9,longest:6,steps:2,word:1,work:589,nodes:30,pairs:31,completionMax:98us [09m33s] 11974 ab:aabb=aa,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11974 ab:aabb=aa,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11975 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:0,work:606,nodes:20,pairs:35,completionMax:80us [09m33s] 11975 ab:aabb=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11975 ab:aabb=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11976 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:1,work:224,nodes:22,pairs:11,completionMax:42us [09m33s] 11976 ab:aabb=aa,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 11976 ab:aabb=aa,bbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 11977 solved: rounds:3,rules:2,peak:11,longest:8,steps:7,word:0,work:2819,nodes:30,pairs:33,completionMax:182us [09m33s] 11977 ab:aabb=aa,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11977 ab:aabb=aa,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11978 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:317,nodes:18,pairs:13,completionMax:46us [09m33s] 11978 ab:aabb=aa,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 11978 ab:aabb=aa,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 11979 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:30,nodes:16,pairs:2,completionMax:7us [09m33s] 11979 ab:aabb=aa,bbbbb=1 infinite ab - - ab:aab=aa,bbbbb=1 [09m33s] from: 11979 ab:aabb=aa,bbbbb=1 infinite to: 4853 ab:aab=aa,bbbbb=1 infinite a=a,b=b [09m33s] # 11980 solved: rounds:4,rules:3,peak:5,longest:9,steps:3,word:6,work:350,nodes:28,pairs:11,completionMax:39us [09m33s] 11980 ab:aabb=ab,aaaaa=1 finite:30;idempotents:1,ba,bbaa,bbbbb,bbbaaa,bbbbaaaa b/a - - ab:bbbbbb=b,ab=bbbbb,aaaaa=1 [09m33s] from: 11980 ab:aabb=ab,aaaaa=1 finite:30;idempotents:1,ba,bbaa,bbbbb,bbbaaa,bbbbaaaa to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa anti:a=b,b=a [09m33s] # 11981 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:34,nodes:12,pairs:9,completionMax:15us [09m33s] 11981 ab:aabb=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11981 ab:aabb=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11982 solved: rounds:4,rules:2,peak:7,longest:5,steps:5,word:2,work:548,nodes:16,pairs:27,completionMax:87us [09m33s] 11982 ab:aabb=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11982 ab:aabb=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11983 solved: rounds:3,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:3,completionMax:6us [09m33s] 11983 ab:aabb=ab,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11983 ab:aabb=ab,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11984 solved: rounds:2,rules:2,peak:10,longest:5,steps:5,word:1,work:857,nodes:22,pairs:27,completionMax:68us [09m33s] 11984 ab:aabb=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11984 ab:aabb=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11985 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:0us [09m33s] 11985 ab:aabb=ab,aabab=1 infinite ab - - ab:aabb=ab,aabab=1 [09m33s] # 11986 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:71,nodes:12,pairs:8,completionMax:14us [09m33s] 11986 ab:aabb=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11986 ab:aabb=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11987 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:2,work:646,nodes:22,pairs:42,completionMax:73us [09m33s] 11987 ab:aabb=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11987 ab:aabb=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11988 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:98,nodes:14,pairs:11,completionMax:17us [09m33s] 11988 ab:aabb=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11988 ab:aabb=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11989 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:141,nodes:16,pairs:12,completionMax:19us [09m33s] 11989 ab:aabb=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11989 ab:aabb=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11990 solved: rounds:3,rules:2,peak:10,longest:5,steps:2,word:0,work:484,nodes:24,pairs:27,completionMax:59us [09m33s] 11990 ab:aabb=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11990 ab:aabb=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11991 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:135,nodes:16,pairs:18,completionMax:24us [09m33s] 11991 ab:aabb=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11991 ab:aabb=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11992 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:1,work:383,nodes:22,pairs:16,completionMax:43us [09m33s] 11992 ab:aabb=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11992 ab:aabb=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11993 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:259,nodes:18,pairs:15,completionMax:41us [09m33s] 11993 ab:aabb=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11993 ab:aabb=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11994 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:205,nodes:18,pairs:12,completionMax:27us [09m33s] 11994 ab:aabb=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11994 ab:aabb=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11995 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:350,nodes:22,pairs:24,completionMax:43us [09m33s] 11995 ab:aabb=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11995 ab:aabb=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 11996 solved: rounds:6,rules:7,peak:36,longest:21,steps:21,word:8,work:228105,nodes:272,pairs:1063,completionMax:11923us [09m33s] 11996 ab:aabb=ba,aaaaa=1 finite:60;idempotents:1,babaaabaaaa;center:1,babaaabaaaa a/b - - ab:aaaaa=1,bb=aaaba,baab=aaaabaa,abab=baaaabaaa,aabaaab=babaaaa,aabaaaab=baaabaaa,babaaaab=abaaaabaaaa [09m33s] # 11997 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:1,work:375,nodes:18,pairs:30,completionMax:69us [09m33s] 11997 ab:aabb=ba,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11997 ab:aabb=ba,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11998 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:1,work:321,nodes:16,pairs:23,completionMax:50us [09m33s] 11998 ab:aabb=ba,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 11998 ab:aabb=ba,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 11999 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:78,nodes:12,pairs:8,completionMax:24us [09m33s] 11999 ab:aabb=ba,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 11999 ab:aabb=ba,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12000 solved: rounds:2,rules:2,peak:9,longest:7,steps:8,word:2,work:1178,nodes:26,pairs:16,completionMax:87us [09m33s] 12000 ab:aabb=ba,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12000 ab:aabb=ba,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12001 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:2us [09m33s] 12001 ab:aabb=ba,aabab=1 infinite ab - - ab:aabb=ba,aabab=1 [09m33s] # 12002 solved: rounds:2,rules:2,peak:9,longest:4,steps:5,word:0,work:266,nodes:16,pairs:19,completionMax:59us [09m33s] 12002 ab:aabb=ba,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12002 ab:aabb=ba,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12003 solved: rounds:2,rules:2,peak:13,longest:6,steps:7,word:6,work:1397,nodes:26,pairs:22,completionMax:158us [09m33s] 12003 ab:aabb=ba,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12003 ab:aabb=ba,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12004 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:275,nodes:16,pairs:13,completionMax:57us [09m33s] 12004 ab:aabb=ba,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12004 ab:aabb=ba,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12005 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:190,nodes:16,pairs:9,completionMax:29us [09m33s] 12005 ab:aabb=ba,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12005 ab:aabb=ba,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12006 solved: rounds:2,rules:2,peak:9,longest:6,steps:8,word:0,work:529,nodes:28,pairs:32,completionMax:83us [09m33s] 12006 ab:aabb=ba,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12006 ab:aabb=ba,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12007 solved: rounds:3,rules:2,peak:12,longest:6,steps:7,word:0,work:2067,nodes:30,pairs:34,completionMax:124us [09m33s] 12007 ab:aabb=ba,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12007 ab:aabb=ba,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12008 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:1,work:314,nodes:20,pairs:19,completionMax:46us [09m33s] 12008 ab:aabb=ba,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12008 ab:aabb=ba,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12009 solved: rounds:2,rules:2,peak:8,longest:5,steps:6,word:0,work:556,nodes:20,pairs:20,completionMax:60us [09m33s] 12009 ab:aabb=ba,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12009 ab:aabb=ba,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12010 solved: rounds:3,rules:2,peak:18,longest:6,steps:10,word:0,work:5677,nodes:54,pairs:242,completionMax:692us [09m33s] 12010 ab:aabb=ba,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12010 ab:aabb=ba,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12011 solved: rounds:3,rules:2,peak:12,longest:6,steps:10,word:0,work:2769,nodes:34,pairs:34,completionMax:141us [09m33s] 12011 ab:aabb=ba,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12011 ab:aabb=ba,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12012 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:310,nodes:20,pairs:9,completionMax:39us [09m33s] 12012 ab:abab=aa,aaaaa=1 finite:10;center:1,a,b,aa,ab,aaa,aab,aaaa,aaab,aaaab;commutative:ab:b2=1,a5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-aaaa,b-b ab - - ab:ba=ab,bb=1,aaaaa=1 [09m33s] from: 12012 ab:abab=aa,aaaaa=1 finite:10;center:1,a,b,aa,ab,aaa,aab,aaaa,aaab,aaaab;commutative:ab:b2=1,a5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-aaaa,b-b to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=bbbbb [09m33s] # 12013 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:3,work:31,nodes:16,pairs:5,completionMax:19us [09m33s] 12013 ab:abab=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12013 ab:abab=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12014 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:6,work:146,nodes:24,pairs:7,completionMax:37us [09m33s] 12014 ab:abab=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12014 ab:abab=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12015 solved: rounds:4,rules:3,peak:5,longest:5,steps:5,word:0,work:445,nodes:16,pairs:17,completionMax:50us [09m33s] 12015 ab:abab=aa,aaabb=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12015 ab:abab=aa,aaabb=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12016 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:6,work:580,nodes:24,pairs:15,completionMax:65us [09m33s] 12016 ab:abab=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12016 ab:abab=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12017 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:112,nodes:14,pairs:10,completionMax:24us [09m33s] 12017 ab:abab=aa,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12017 ab:abab=aa,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12018 solved: rounds:3,rules:3,peak:14,longest:5,steps:6,word:0,work:2390,nodes:30,pairs:53,completionMax:145us [09m33s] 12018 ab:abab=aa,aabba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12018 ab:abab=aa,aabba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12019 solved: rounds:6,rules:3,peak:15,longest:7,steps:6,word:4,work:4088,nodes:34,pairs:67,completionMax:264us [09m33s] 12019 ab:abab=aa,aabbb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [09m33s] from: 12019 ab:abab=aa,aabbb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [09m33s] # 12020 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:6,work:316,nodes:30,pairs:10,completionMax:45us [09m33s] 12020 ab:abab=aa,abaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12020 ab:abab=aa,abaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12021 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:378,nodes:16,pairs:15,completionMax:51us [09m33s] 12021 ab:abab=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12021 ab:abab=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12022 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:111,nodes:14,pairs:10,completionMax:27us [09m33s] 12022 ab:abab=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12022 ab:abab=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12023 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:80,nodes:14,pairs:5,completionMax:24us [09m33s] 12023 ab:abab=aa,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12023 ab:abab=aa,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12024 solved: rounds:2,rules:3,peak:8,longest:5,steps:3,word:0,work:559,nodes:26,pairs:25,completionMax:82us [09m33s] 12024 ab:abab=aa,abbaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12024 ab:abab=aa,abbaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12025 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:2,work:428,nodes:28,pairs:15,completionMax:58us [09m33s] 12025 ab:abab=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12025 ab:abab=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12026 solved: rounds:4,rules:3,peak:10,longest:8,steps:11,word:7,work:2381,nodes:36,pairs:38,completionMax:196us [09m33s] 12026 ab:abab=aa,abbba=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [09m33s] from: 12026 ab:abab=aa,abbba=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [09m33s] # 12027 solved: rounds:4,rules:2,peak:7,longest:5,steps:4,word:0,work:503,nodes:20,pairs:25,completionMax:52us [09m33s] 12027 ab:abab=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12027 ab:abab=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12028 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:3,work:335,nodes:28,pairs:19,completionMax:83us [09m33s] 12028 ab:abab=aa,baaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12028 ab:abab=aa,baaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12029 solved: rounds:3,rules:3,peak:12,longest:6,steps:3,word:0,work:1267,nodes:26,pairs:56,completionMax:158us [09m33s] 12029 ab:abab=aa,baaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12029 ab:abab=aa,baaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12030 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:374,nodes:22,pairs:24,completionMax:64us [09m33s] 12030 ab:abab=aa,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12030 ab:abab=aa,baaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12031 solved: rounds:6,rules:3,peak:13,longest:8,steps:11,word:7,work:5693,nodes:36,pairs:67,completionMax:270us [09m33s] 12031 ab:abab=aa,baabb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [09m33s] from: 12031 ab:abab=aa,baabb=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [09m33s] # 12032 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:578,nodes:20,pairs:21,completionMax:50us [09m33s] 12032 ab:abab=aa,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12032 ab:abab=aa,babaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12033 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:348,nodes:16,pairs:21,completionMax:62us [09m33s] 12033 ab:abab=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12033 ab:abab=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12034 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:2,work:423,nodes:24,pairs:30,completionMax:90us [09m33s] 12034 ab:abab=aa,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12034 ab:abab=aa,babba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12035 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:581,nodes:20,pairs:24,completionMax:67us [09m33s] 12035 ab:abab=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12035 ab:abab=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12036 solved: rounds:3,rules:3,peak:10,longest:6,steps:6,word:0,work:2080,nodes:32,pairs:31,completionMax:144us [09m33s] 12036 ab:abab=aa,bbaaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12036 ab:abab=aa,bbaaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12037 solved: rounds:4,rules:3,peak:13,longest:7,steps:11,word:9,work:5334,nodes:46,pairs:88,completionMax:331us [09m33s] 12037 ab:abab=aa,bbaab=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [09m33s] from: 12037 ab:abab=aa,bbaab=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [09m33s] # 12038 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:2,work:489,nodes:22,pairs:24,completionMax:72us [09m33s] 12038 ab:abab=aa,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12038 ab:abab=aa,bbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12039 solved: rounds:3,rules:2,peak:15,longest:5,steps:5,word:0,work:1658,nodes:26,pairs:113,completionMax:229us [09m33s] 12039 ab:abab=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12039 ab:abab=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12040 solved: rounds:5,rules:3,peak:12,longest:7,steps:12,word:8,work:3595,nodes:36,pairs:74,completionMax:218us [09m33s] 12040 ab:abab=aa,bbbaa=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb b/a - - ab:bbbbbb=1,ba=abbbbb,aa=bbb [09m33s] from: 12040 ab:abab=aa,bbbaa=1 finite:12;center:1,bbb;group:a-abbb,b-bbbbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=a [09m33s] # 12041 solved: rounds:2,rules:2,peak:15,longest:6,steps:6,word:0,work:1320,nodes:34,pairs:27,completionMax:128us [09m33s] 12041 ab:abab=aa,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12041 ab:abab=aa,bbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12042 solved: rounds:3,rules:2,peak:10,longest:6,steps:5,word:0,work:1827,nodes:32,pairs:44,completionMax:165us [09m33s] 12042 ab:abab=aa,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12042 ab:abab=aa,bbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12043 solved: rounds:2,rules:5,peak:5,longest:8,steps:6,word:3,work:961,nodes:38,pairs:5,completionMax:54us [09m33s] 12043 ab:abab=aa,bbbbb=1 infinite b/a - - ab:bbbbb=1,aba=aabbbb,aabbbba=aaab,aaabba=aaaabbb,aaaabbba=aaaaabb [09m33s] # 12044 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:33,nodes:18,pairs:1,completionMax:9us [09m33s] 12044 ab:abab=ab,aaaaa=1 infinite ab - - ab:bab=b,aaaaa=1 [09m33s] from: 12044 ab:abab=ab,aaaaa=1 infinite to: 1959 ab:aba=a,bbbbb=1 infinite a=b,b=a [09m33s] # 12045 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:14,pairs:3,completionMax:8us [09m33s] 12045 ab:abab=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12045 ab:abab=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12046 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:182,nodes:20,pairs:20,completionMax:31us [09m33s] 12046 ab:abab=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12046 ab:abab=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12047 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:14,pairs:0,completionMax:2us [09m33s] 12047 ab:abab=ab,aaabb=1 infinite ab - - ab:abab=ab,aaabb=1 [09m33s] # 12048 solved: rounds:3,rules:2,peak:9,longest:8,steps:4,word:2,work:1377,nodes:28,pairs:34,completionMax:120us [09m33s] 12048 ab:abab=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12048 ab:abab=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12049 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:3,completionMax:9us [09m33s] 12049 ab:abab=ab,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12049 ab:abab=ab,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12050 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:316,nodes:20,pairs:20,completionMax:54us [09m33s] 12050 ab:abab=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12050 ab:abab=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12051 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:85,nodes:16,pairs:9,completionMax:21us [09m33s] 12051 ab:abab=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12051 ab:abab=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12052 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:37,nodes:10,pairs:6,completionMax:10us [09m33s] 12052 ab:abab=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12052 ab:abab=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12053 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:0,work:39,nodes:8,pairs:4,completionMax:10us [09m33s] 12053 ab:abab=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12053 ab:abab=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12054 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:98,nodes:18,pairs:11,completionMax:25us [09m33s] 12054 ab:abab=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12054 ab:abab=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12055 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:85,nodes:18,pairs:9,completionMax:24us [09m33s] 12055 ab:abab=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12055 ab:abab=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12056 solved: rounds:4,rules:2,peak:5,longest:5,steps:1,word:0,work:125,nodes:18,pairs:8,completionMax:31us [09m33s] 12056 ab:abab=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12056 ab:abab=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12057 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:205,nodes:16,pairs:19,completionMax:41us [09m33s] 12057 ab:abab=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12057 ab:abab=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12058 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:158,nodes:16,pairs:21,completionMax:43us [09m33s] 12058 ab:abab=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12058 ab:abab=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12059 solved: rounds:4,rules:2,peak:4,longest:5,steps:1,word:0,work:77,nodes:18,pairs:6,completionMax:19us [09m33s] 12059 ab:abab=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12059 ab:abab=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12060 solved: rounds:4,rules:14,peak:22,longest:17,steps:25,word:11,work:76172,nodes:174,pairs:183,completionMax:2149us [09m33s] 12060 ab:abab=ba,aaaaa=1 finite:160;idempotents:1,bbbbb;center:1,bbbbb a/b - - ab:aaaaa=1,bab=aaaaba,abb=baabaaaa,aabaaaab=baaabaaa,aaabaaab=baaaabaa,aaaabaab=bba,bbaab=aaabaa,aabaabaaab=baaabaabaa,aabaaabaab=bbaaaabaaa,aaabaabaab=bbbaa,bbbaaab=aabaaa,aabaabaabaab=bbbbaaa,bbbbaaaab=abaaaa,bbbbbb=b [09m33s] # 12061 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:1,work:741,nodes:22,pairs:34,completionMax:84us [09m33s] 12061 ab:abab=ba,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12061 ab:abab=ba,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12062 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:1,work:625,nodes:22,pairs:31,completionMax:71us [09m33s] 12062 ab:abab=ba,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12062 ab:abab=ba,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12063 solved: rounds:4,rules:2,peak:10,longest:7,steps:8,word:0,work:1314,nodes:36,pairs:35,completionMax:93us [09m33s] 12063 ab:abab=ba,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12063 ab:abab=ba,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12064 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:1,work:967,nodes:20,pairs:31,completionMax:101us [09m33s] 12064 ab:abab=ba,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12064 ab:abab=ba,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12065 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:52,nodes:8,pairs:11,completionMax:13us [09m33s] 12065 ab:abab=ba,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12065 ab:abab=ba,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12066 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:1084,nodes:30,pairs:33,completionMax:117us [09m33s] 12066 ab:abab=ba,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12066 ab:abab=ba,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12067 solved: rounds:2,rules:2,peak:6,longest:7,steps:14,word:9,work:1051,nodes:22,pairs:12,completionMax:58us [09m33s] 12067 ab:abab=ba,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12067 ab:abab=ba,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12068 solved: rounds:2,rules:2,peak:7,longest:5,steps:6,word:0,work:518,nodes:20,pairs:27,completionMax:65us [09m33s] 12068 ab:abab=ba,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12068 ab:abab=ba,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12069 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:204,nodes:14,pairs:24,completionMax:37us [09m33s] 12069 ab:abab=ba,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12069 ab:abab=ba,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12070 solved: rounds:2,rules:2,peak:12,longest:6,steps:13,word:0,work:1168,nodes:32,pairs:30,completionMax:96us [09m33s] 12070 ab:abab=ba,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12070 ab:abab=ba,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12071 solved: rounds:2,rules:2,peak:10,longest:5,steps:7,word:0,work:796,nodes:26,pairs:33,completionMax:85us [09m33s] 12071 ab:abab=ba,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12071 ab:abab=ba,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12072 solved: rounds:3,rules:2,peak:8,longest:5,steps:4,word:1,work:473,nodes:20,pairs:27,completionMax:58us [09m33s] 12072 ab:abab=ba,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12072 ab:abab=ba,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12073 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:669,nodes:24,pairs:35,completionMax:68us [09m33s] 12073 ab:abab=ba,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12073 ab:abab=ba,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12074 solved: rounds:2,rules:2,peak:6,longest:5,steps:6,word:0,work:454,nodes:22,pairs:22,completionMax:54us [09m33s] 12074 ab:abab=ba,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12074 ab:abab=ba,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12075 solved: rounds:2,rules:2,peak:11,longest:6,steps:7,word:0,work:579,nodes:32,pairs:15,completionMax:74us [09m33s] 12075 ab:abab=ba,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12075 ab:abab=ba,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12076 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:50,nodes:18,pairs:4,completionMax:19us [09m33s] 12076 ab:abba=aa,aaaaa=1 infinite;group:a-aaaa,b-b ab - - ab:bb=1,aaaaa=1 [09m33s] from: 12076 ab:abba=aa,aaaaa=1 infinite;group:a-aaaa,b-b to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=b,b=a [09m33s] # 12077 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:3,work:188,nodes:22,pairs:10,completionMax:57us [09m33s] 12077 ab:abba=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12077 ab:abba=aa,aaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12078 solved: rounds:3,rules:2,peak:7,longest:8,steps:6,word:6,work:467,nodes:18,pairs:23,completionMax:75us [09m33s] 12078 ab:abba=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12078 ab:abba=aa,aaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12079 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:81,nodes:14,pairs:5,completionMax:17us [09m33s] 12079 ab:abba=aa,aaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 12079 ab:abba=aa,aaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 12080 solved: rounds:2,rules:2,peak:6,longest:8,steps:5,word:6,work:525,nodes:24,pairs:13,completionMax:54us [09m33s] 12080 ab:abba=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa a/b - - ab:aaaaaaaa=1,b=aaaa [09m33s] from: 12080 ab:abba=aa,aabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a4;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaa [09m33s] # 12081 solved: rounds:4,rules:3,peak:9,longest:5,steps:4,word:0,work:948,nodes:24,pairs:38,completionMax:136us [09m33s] 12081 ab:abba=aa,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12081 ab:abba=aa,aabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12082 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:53,nodes:14,pairs:4,completionMax:11us [09m33s] 12082 ab:abba=aa,aabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 12082 ab:abba=aa,aabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 12083 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:32,nodes:14,pairs:5,completionMax:17us [09m33s] 12083 ab:abba=aa,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12083 ab:abba=aa,aabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12084 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:343,nodes:18,pairs:12,completionMax:44us [09m33s] 12084 ab:abba=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12084 ab:abba=aa,abaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12085 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:143,nodes:14,pairs:8,completionMax:26us [09m33s] 12085 ab:abba=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [09m33s] from: 12085 ab:abba=aa,ababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=bbb [09m33s] # 12086 solved: rounds:5,rules:2,peak:5,longest:5,steps:2,word:1,work:124,nodes:12,pairs:14,completionMax:42us [09m33s] 12086 ab:abba=aa,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12086 ab:abba=aa,ababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12087 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:123,nodes:14,pairs:12,completionMax:35us [09m33s] 12087 ab:abba=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12087 ab:abba=aa,abbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12088 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:227,nodes:14,pairs:9,completionMax:27us [09m33s] 12088 ab:abba=aa,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12088 ab:abba=aa,abbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12089 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:26,nodes:10,pairs:3,completionMax:9us [09m33s] 12089 ab:abba=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12089 ab:abba=aa,abbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12090 solved: rounds:2,rules:2,peak:9,longest:5,steps:2,word:0,work:446,nodes:24,pairs:14,completionMax:70us [09m33s] 12090 ab:abba=aa,baaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [09m33s] from: 12090 ab:abba=aa,baaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [09m33s] # 12091 solved: rounds:3,rules:2,peak:10,longest:5,steps:2,word:1,work:643,nodes:26,pairs:27,completionMax:96us [09m33s] 12091 ab:abba=aa,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12091 ab:abba=aa,baabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12092 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:2,work:410,nodes:22,pairs:21,completionMax:60us [09m33s] 12092 ab:abba=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 12092 ab:abba=aa,babab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 12093 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:467,nodes:22,pairs:30,completionMax:73us [09m33s] 12093 ab:abba=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12093 ab:abba=aa,babbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12094 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:570,nodes:24,pairs:24,completionMax:75us [09m33s] 12094 ab:abba=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 12094 ab:abba=aa,bbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 12095 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:9,nodes:16,pairs:0,completionMax:5us [09m33s] 12095 ab:abba=aa,bbbbb=1 infinite ab - - ab:abba=aa,bbbbb=1 [09m33s] # 12096 solved: rounds:4,rules:3,peak:7,longest:7,steps:4,word:3,work:663,nodes:38,pairs:20,completionMax:86us [09m33s] 12096 ab:abba=ab,aaaaa=1 finite:30;idempotents:1,ab,aabb,bbbbb,aaabbb,aaaabbbb b/a - - ab:bbbbbb=b,ba=bbbbb,aaaaa=1 [09m33s] from: 12096 ab:abba=ab,aaaaa=1 finite:30;idempotents:1,ab,aabb,bbbbb,aaabbb,aaaabbbb to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a=b,b=a [09m33s] # 12097 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:2,work:186,nodes:16,pairs:13,completionMax:39us [09m33s] 12097 ab:abba=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12097 ab:abba=ab,aaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12098 solved: rounds:3,rules:2,peak:10,longest:6,steps:5,word:1,work:1900,nodes:32,pairs:54,completionMax:187us [09m33s] 12098 ab:abba=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12098 ab:abba=ab,aaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12099 solved: rounds:2,rules:2,peak:8,longest:6,steps:7,word:0,work:332,nodes:22,pairs:15,completionMax:65us [09m33s] 12099 ab:abba=ab,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12099 ab:abba=ab,aaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12100 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:1,work:729,nodes:20,pairs:33,completionMax:87us [09m33s] 12100 ab:abba=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12100 ab:abba=ab,aabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12101 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:91,nodes:16,pairs:10,completionMax:21us [09m33s] 12101 ab:abba=ab,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12101 ab:abba=ab,aabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12102 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:99,nodes:12,pairs:16,completionMax:23us [09m33s] 12102 ab:abba=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12102 ab:abba=ab,aabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12103 solved: rounds:3,rules:2,peak:10,longest:6,steps:5,word:0,work:685,nodes:22,pairs:19,completionMax:57us [09m33s] 12103 ab:abba=ab,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12103 ab:abba=ab,aabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12104 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:2,work:777,nodes:22,pairs:22,completionMax:80us [09m33s] 12104 ab:abba=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12104 ab:abba=ab,abaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12105 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:160,nodes:16,pairs:25,completionMax:43us [09m33s] 12105 ab:abba=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12105 ab:abba=ab,abaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12106 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:226,nodes:16,pairs:19,completionMax:39us [09m33s] 12106 ab:abba=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12106 ab:abba=ab,ababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12107 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:148,nodes:12,pairs:15,completionMax:27us [09m33s] 12107 ab:abba=ab,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12107 ab:abba=ab,ababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12108 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:159,nodes:12,pairs:14,completionMax:27us [09m33s] 12108 ab:abba=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12108 ab:abba=ab,abbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12109 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:26,nodes:8,pairs:5,completionMax:11us [09m33s] 12109 ab:abba=ab,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12109 ab:abba=ab,abbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12110 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:147,nodes:14,pairs:20,completionMax:40us [09m33s] 12110 ab:abba=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12110 ab:abba=ab,abbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12111 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:1,work:110,nodes:14,pairs:15,completionMax:36us [09m33s] 12111 ab:abba=ab,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12111 ab:abba=ab,abbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12112 solved: rounds:4,rules:2,peak:7,longest:5,steps:2,word:1,work:297,nodes:22,pairs:20,completionMax:62us [09m33s] 12112 ab:abba=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12112 ab:abba=ab,baaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12113 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:143,nodes:20,pairs:16,completionMax:29us [09m33s] 12113 ab:abba=ab,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12113 ab:abba=ab,baaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12114 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:293,nodes:22,pairs:20,completionMax:53us [09m33s] 12114 ab:abba=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12114 ab:abba=ab,baaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12115 solved: rounds:2,rules:2,peak:10,longest:5,steps:7,word:0,work:478,nodes:26,pairs:28,completionMax:70us [09m33s] 12115 ab:abba=ab,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12115 ab:abba=ab,baabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12116 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:143,nodes:18,pairs:23,completionMax:36us [09m33s] 12116 ab:abba=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12116 ab:abba=ab,babaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12117 solved: rounds:1,rules:2,peak:6,longest:5,steps:5,word:0,work:112,nodes:16,pairs:5,completionMax:27us [09m33s] 12117 ab:abba=ab,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12117 ab:abba=ab,babab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12118 solved: rounds:1,rules:2,peak:6,longest:4,steps:3,word:0,work:73,nodes:12,pairs:4,completionMax:17us [09m33s] 12118 ab:abba=ab,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12118 ab:abba=ab,babba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12119 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:1,work:84,nodes:16,pairs:14,completionMax:41us [09m33s] 12119 ab:abba=ab,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12119 ab:abba=ab,babbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12120 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:80,nodes:18,pairs:12,completionMax:22us [09m33s] 12120 ab:abba=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12120 ab:abba=ab,bbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12121 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:78,nodes:16,pairs:14,completionMax:42us [09m33s] 12121 ab:abba=ab,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12121 ab:abba=ab,bbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12122 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:133,nodes:16,pairs:9,completionMax:27us [09m33s] 12122 ab:abba=ab,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12122 ab:abba=ab,bbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12123 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:2,work:405,nodes:18,pairs:35,completionMax:60us [09m33s] 12123 ab:abba=ab,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12123 ab:abba=ab,bbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12124 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:16,pairs:5,completionMax:7us [09m33s] 12124 ab:abba=ab,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 12124 ab:abba=ab,bbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 12125 solved: rounds:4,rules:2,peak:4,longest:5,steps:1,word:1,work:47,nodes:16,pairs:10,completionMax:16us [09m33s] 12125 ab:abba=ab,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12125 ab:abba=ab,bbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12126 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:64,nodes:16,pairs:11,completionMax:24us [09m33s] 12126 ab:abba=ab,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [09m33s] from: 12126 ab:abba=ab,bbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [09m33s] # 12127 solved: rounds:3,rules:3,peak:6,longest:6,steps:8,word:6,work:693,nodes:26,pairs:20,completionMax:66us [09m33s] 12127 ab:abba=ab,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a/b - - ab:aaaaaa=a,ab=aaaaa,bbbbb=1 [09m33s] from: 12127 ab:abba=ab,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a=a,b=b [09m33s] # 12128 solved: rounds:1,rules:2,peak:3,longest:6,steps:9,word:9,work:231,nodes:14,pairs:3,completionMax:18us [09m33s] 12128 ab:abba=bb,aaaaa=1 infinite a/b - - ab:aaaaa=1,abb=bbaaaa [09m33s] # 12129 solved: rounds:4,rules:2,peak:14,longest:6,steps:7,word:0,work:3546,nodes:40,pairs:103,completionMax:339us [09m33s] 12129 ab:abba=bb,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 12129 ab:abba=bb,aaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 12130 solved: rounds:4,rules:2,peak:12,longest:6,steps:7,word:0,work:3498,nodes:38,pairs:49,completionMax:205us [09m33s] 12130 ab:abba=bb,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 12130 ab:abba=bb,aaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 12131 solved: rounds:2,rules:2,peak:5,longest:6,steps:13,word:2,work:529,nodes:24,pairs:16,completionMax:86us [09m33s] 12131 ab:abba=bb,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12131 ab:abba=bb,aaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12132 solved: rounds:2,rules:2,peak:10,longest:6,steps:6,word:0,work:1269,nodes:30,pairs:36,completionMax:155us [09m33s] 12132 ab:abba=bb,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 12132 ab:abba=bb,aabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 12133 solved: rounds:4,rules:2,peak:13,longest:7,steps:7,word:2,work:4819,nodes:50,pairs:93,completionMax:424us [09m33s] 12133 ab:abba=bb,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12133 ab:abba=bb,aabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12134 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:22,nodes:12,pairs:3,completionMax:12us [09m33s] 12134 ab:abba=bb,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12134 ab:abba=bb,aabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12135 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:0,work:1331,nodes:32,pairs:28,completionMax:116us [09m33s] 12135 ab:abba=bb,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12135 ab:abba=bb,aabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12136 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:2,work:1281,nodes:30,pairs:25,completionMax:136us [09m33s] 12136 ab:abba=bb,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12136 ab:abba=bb,abaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12137 solved: rounds:3,rules:2,peak:6,longest:6,steps:7,word:1,work:458,nodes:22,pairs:17,completionMax:51us [09m33s] 12137 ab:abba=bb,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12137 ab:abba=bb,ababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12138 solved: rounds:2,rules:3,peak:12,longest:6,steps:4,word:0,work:841,nodes:30,pairs:20,completionMax:85us [09m33s] 12138 ab:abba=bb,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12138 ab:abba=bb,ababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12139 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:41,nodes:12,pairs:3,completionMax:12us [09m33s] 12139 ab:abba=bb,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12139 ab:abba=bb,abbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12140 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:802,nodes:26,pairs:36,completionMax:102us [09m33s] 12140 ab:abba=bb,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12140 ab:abba=bb,abbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12141 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:106,nodes:20,pairs:11,completionMax:30us [09m33s] 12141 ab:abba=bb,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 12141 ab:abba=bb,abbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 12142 solved: rounds:3,rules:2,peak:15,longest:12,steps:9,word:6,work:5209,nodes:44,pairs:59,completionMax:282us [09m33s] 12142 ab:abba=bb,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [09m33s] from: 12142 ab:abba=bb,baaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [09m33s] # 12143 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:442,nodes:18,pairs:21,completionMax:56us [09m33s] 12143 ab:abba=bb,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12143 ab:abba=bb,baabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12144 solved: rounds:3,rules:3,peak:5,longest:5,steps:5,word:0,work:316,nodes:22,pairs:14,completionMax:47us [09m33s] 12144 ab:abba=bb,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [09m33s] from: 12144 ab:abba=bb,babab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [09m33s] # 12145 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:138,nodes:22,pairs:12,completionMax:30us [09m33s] 12145 ab:abba=bb,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 12145 ab:abba=bb,babbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 12146 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:40,nodes:16,pairs:8,completionMax:19us [09m33s] 12146 ab:abba=bb,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [09m33s] from: 12146 ab:abba=bb,bbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [09m33s] # 12147 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:414,nodes:24,pairs:25,completionMax:62us [09m33s] 12147 ab:abba=bb,bbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [09m33s] from: 12147 ab:abba=bb,bbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [09m33s] # 12148 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:108,nodes:8,pairs:7,completionMax:21us [09m33s] 12148 ab:aaaa=aa,aaab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 12148 ab:aaaa=aa,aaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 12149 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:66,nodes:8,pairs:3,completionMax:12us [09m33s] 12149 ab:aaaa=aa,aaab=b infinite ab - - ab:ab=b,aaaa=aa [09m33s] # 12150 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:130,nodes:10,pairs:2,completionMax:20us [09m33s] 12150 ab:aaaa=aa,aaba=a infinite ab - - ab:aaa=a,aba=aa [09m33s] from: 12150 ab:aaaa=aa,aaba=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [09m33s] # 12151 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:190,nodes:18,pairs:14,completionMax:37us [09m33s] 12151 ab:aaaa=aa,aaba=b infinite ab - - ab:ba=b,aab=b,aaaa=aa [09m33s] # 12152 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:75,nodes:10,pairs:2,completionMax:13us [09m33s] 12152 ab:aaaa=aa,aabb=a infinite ab - - ab:aaa=a,abb=aa [09m33s] from: 12152 ab:aaaa=aa,aabb=a infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [09m33s] # 12153 solved: rounds:2,rules:3,peak:3,longest:4,steps:1,word:0,work:52,nodes:10,pairs:3,completionMax:16us [09m33s] 12153 ab:aaaa=aa,aabb=b infinite ab - - ab:bb=b,aab=b,aaaa=aa [09m33s] # 12154 solved: rounds:4,rules:3,peak:4,longest:4,steps:4,word:0,work:210,nodes:12,pairs:7,completionMax:46us [09m33s] 12154 ab:aaaa=aa,abab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 12154 ab:aaaa=aa,abab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 12155 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:154,nodes:16,pairs:7,completionMax:27us [09m33s] 12155 ab:aaaa=aa,abab=b finite:12;idempotents:1,b,aa,aba,baa,abaaa ab - - ab:bb=b,aab=b,bab=ab,aaaa=aa [09m33s] # 12156 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:41,nodes:12,pairs:0,completionMax:4us [09m33s] 12156 ab:aaaa=aa,abba=a infinite ab - - ab:aaaa=aa,abba=a [09m33s] # 12157 solved: rounds:4,rules:4,peak:7,longest:5,steps:5,word:2,work:540,nodes:22,pairs:20,completionMax:84us [09m33s] 12157 ab:aaaa=aa,abba=b finite:10;idempotents:1,aa,bbb;center:1,aa,bbb b/a - - ab:bbbb=b,ba=abb,aab=b,aaaa=aa [09m33s] # 12158 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:25,nodes:12,pairs:0,completionMax:2us [09m33s] 12158 ab:aaaa=aa,abbb=a infinite ab - - ab:aaaa=aa,abbb=a [09m33s] # 12159 solved: rounds:4,rules:3,peak:4,longest:5,steps:2,word:1,work:93,nodes:16,pairs:6,completionMax:30us [09m33s] 12159 ab:aaaa=aa,abbb=b finite:20;idempotents:1,aa,bba,bbbb,bbaaa,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaaa=aa [09m33s] # 12160 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:1219,nodes:18,pairs:38,completionMax:89us [09m33s] 12160 ab:aaaa=aa,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12160 ab:aaaa=aa,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12161 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:14,pairs:0,completionMax:3us [09m33s] 12161 ab:aaaa=aa,baab=b infinite ab - - ab:aaaa=aa,baab=b [09m33s] # 12162 solved: rounds:5,rules:10,peak:12,longest:7,steps:6,word:4,work:4444,nodes:50,pairs:47,completionMax:170us [09m33s] 12162 ab:aaaa=aa,babb=a infinite reversed:a/b - - ab:aaaa=aa,aabaa=baa,baaa=abaa,baba=aabb,baaba=aaabb,bbaa=aaabba,babb=a,aabbba=abaabb,baabba=aaa,aabbbb=baa [09m33s] # 12163 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:14,pairs:0,completionMax:4us [09m33s] 12163 ab:aaaa=aa,babb=b infinite ab - - ab:aaaa=aa,babb=b [09m33s] # 12164 solved: rounds:1,rules:2,peak:2,longest:16,steps:5,word:15,work:588,nodes:32,pairs:4,completionMax:34us [09m33s] 12164 ab:aaaa=aa,bbbb=a finite:16;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b8,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:8 b/a - - ab:bbbbbbbbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] # 12165 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:14,pairs:0,completionMax:6us [09m33s] 12165 ab:aaaa=aa,bbbb=b infinite ab - - ab:aaaa=aa,bbbb=b [09m33s] # 12166 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:24,nodes:12,pairs:0,completionMax:11us [09m33s] 12166 ab:aaaa=ab,aaab=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 12166 ab:aaaa=ab,aaab=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 12167 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:74,nodes:14,pairs:1,completionMax:9us [09m33s] 12167 ab:aaaa=ab,aaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12167 ab:aaaa=ab,aaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbbb [09m33s] # 12168 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:23,nodes:12,pairs:0,completionMax:4us [09m33s] 12168 ab:aaaa=ab,aaba=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 12168 ab:aaaa=ab,aaba=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 12169 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:73,nodes:14,pairs:1,completionMax:6us [09m33s] 12169 ab:aaaa=ab,aaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12169 ab:aaaa=ab,aaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbbb [09m33s] # 12170 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:35,nodes:16,pairs:0,completionMax:8us [09m33s] 12170 ab:aaaa=ab,aabb=a infinite a/b - - ab:aaaaaaaa=a,ab=aaaa [09m33s] # 12171 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:81,nodes:18,pairs:1,completionMax:10us [09m33s] 12171 ab:aaaa=ab,aabb=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaaaaaaa [09m33s] from: 12171 ab:aaaa=ab,aabb=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbbbbbbb [09m33s] # 12172 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:22,nodes:12,pairs:0,completionMax:8us [09m33s] 12172 ab:aaaa=ab,abaa=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 12172 ab:aaaa=ab,abaa=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 12173 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:72,nodes:14,pairs:1,completionMax:13us [09m33s] 12173 ab:aaaa=ab,abaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12173 ab:aaaa=ab,abaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a6;saturation:a:a3=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbbb [09m33s] # 12174 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:34,nodes:16,pairs:0,completionMax:11us [09m33s] 12174 ab:aaaa=ab,abab=a infinite a/b - - ab:aaaaaaaa=a,ab=aaaa [09m33s] from: 12174 ab:aaaa=ab,abab=a infinite to: 12170 ab:aaaa=ab,aabb=a infinite a=a,b=b [09m33s] # 12175 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:80,nodes:18,pairs:1,completionMax:10us [09m33s] 12175 ab:aaaa=ab,abab=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaaaaaaa [09m33s] from: 12175 ab:aaaa=ab,abab=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbbbbbbb [09m33s] # 12176 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:33,nodes:16,pairs:0,completionMax:7us [09m33s] 12176 ab:aaaa=ab,abba=a infinite a/b - - ab:aaaaaaaa=a,ab=aaaa [09m33s] from: 12176 ab:aaaa=ab,abba=a infinite to: 12170 ab:aaaa=ab,aabb=a infinite a=a,b=b [09m33s] # 12177 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:4,work:79,nodes:18,pairs:1,completionMax:11us [09m33s] 12177 ab:aaaa=ab,abba=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaaaaaaa [09m33s] from: 12177 ab:aaaa=ab,abba=b finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a8;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbbbbbbb [09m33s] # 12178 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:47,nodes:20,pairs:0,completionMax:8us [09m33s] 12178 ab:aaaa=ab,abbb=a infinite a/b - - ab:aaaaaaaaaa=a,ab=aaaa [09m33s] # 12179 solved: rounds:1,rules:2,peak:2,longest:11,steps:3,word:6,work:103,nodes:22,pairs:1,completionMax:11us [09m33s] 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaaaaaaaa [09m33s] # 12180 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:2,work:258,nodes:20,pairs:5,completionMax:31us [09m33s] 12180 ab:aaaa=ab,baaa=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 12180 ab:aaaa=ab,baaa=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=b,b=a [09m33s] # 12181 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:162,nodes:20,pairs:2,completionMax:17us [09m33s] 12181 ab:aaaa=ab,baaa=b finite:10;idempotents:1,b,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=b,ab=aaaa,bb=b [09m33s] # 12182 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:298,nodes:28,pairs:7,completionMax:37us [09m33s] 12182 ab:aaaa=ab,baab=a infinite;commutative:ab:a8=a,ab=a4;saturation:a:a7=1;noncancellative:bbb,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaa=a,ba=aaaa,ab=aaaa [09m33s] # 12183 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:2,work:180,nodes:28,pairs:2,completionMax:16us [09m33s] 12183 ab:aaaa=ab,baab=b finite:14;idempotents:1,baa,aaaaa a/b - - ab:aaaaaaaaa=aaaa,baaaaa=b,ab=aaaa,bb=baaa [09m33s] # 12184 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:297,nodes:28,pairs:7,completionMax:54us [09m33s] 12184 ab:aaaa=ab,baba=a infinite;commutative:ab:a8=a,ab=a4;saturation:a:a7=1;noncancellative:bbb,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 12184 ab:aaaa=ab,baba=a infinite;commutative:ab:a8=a,ab=a4;saturation:a:a7=1;noncancellative:bbb,aa,aaaa,aaaaaa;smith:7 to: 12182 ab:aaaa=ab,baab=a infinite;commutative:ab:a8=a,ab=a4;saturation:a:a7=1;noncancellative:bbb,aa,aaaa,aaaaaa;smith:7 a=a,b=b [09m33s] # 12185 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:2,work:179,nodes:28,pairs:2,completionMax:21us [09m33s] 12185 ab:aaaa=ab,baba=b finite:14;idempotents:1,baa,aaaaa a/b - - ab:aaaaaaaaa=aaaa,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 12185 ab:aaaa=ab,baba=b finite:14;idempotents:1,baa,aaaaa to: 12183 ab:aaaa=ab,baab=b finite:14;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 12186 solved: rounds:3,rules:3,peak:5,longest:11,steps:2,word:4,work:355,nodes:36,pairs:9,completionMax:60us [09m33s] 12186 ab:aaaa=ab,babb=a infinite;commutative:ab:a4=ab,ab3=a;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa [09m33s] # 12187 solved: rounds:5,rules:4,peak:11,longest:8,steps:6,word:8,work:1991,nodes:30,pairs:39,completionMax:220us [09m33s] 12187 ab:aaaa=ab,babb=b finite:18;idempotents:1,abb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=abbbbbb,aaaa=ab [09m33s] # 12188 solved: rounds:3,rules:3,peak:4,longest:9,steps:2,word:4,work:245,nodes:24,pairs:3,completionMax:33us [09m33s] 12188 ab:aaaa=ab,bbaa=a infinite a/b - - ab:aaaaaaaa=a,ab=aaaa,bba=aaaaaaa [09m33s] # 12189 solved: rounds:2,rules:4,peak:4,longest:9,steps:1,word:2,work:203,nodes:28,pairs:4,completionMax:23us [09m33s] 12189 ab:aaaa=ab,bbaa=b finite:14;idempotents:1,baa,aaaaa a/b - - ab:aaaaaaaaa=aaaa,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 12189 ab:aaaa=ab,bbaa=b finite:14;idempotents:1,baa,aaaaa to: 12183 ab:aaaa=ab,baab=b finite:14;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 12190 solved: rounds:3,rules:3,peak:5,longest:11,steps:2,word:4,work:398,nodes:32,pairs:6,completionMax:54us [09m33s] 12190 ab:aaaa=ab,bbab=a infinite a/b - - ab:aaaaaaaaaa=a,ab=aaaa,bba=aaaaaaa [09m33s] # 12191 solved: rounds:6,rules:4,peak:11,longest:11,steps:8,word:8,work:3118,nodes:42,pairs:39,completionMax:219us [09m33s] 12191 ab:aaaa=ab,bbab=b finite:18;idempotents:1,abb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=abbbbbb,aaaa=ab [09m33s] from: 12191 ab:aaaa=ab,bbab=b finite:18;idempotents:1,abb,bbbbbbb to: 12187 ab:aaaa=ab,babb=b finite:18;idempotents:1,abb,bbbbbbb a=a,b=b [09m33s] # 12192 solved: rounds:1,rules:3,peak:3,longest:11,steps:2,word:4,work:92,nodes:28,pairs:1,completionMax:14us [09m33s] 12192 ab:aaaa=ab,bbba=a infinite a/b - - ab:aaaaaaaaaaa=aa,ab=aaaa,bbba=a [09m33s] # 12193 solved: rounds:4,rules:4,peak:8,longest:8,steps:5,word:12,work:1096,nodes:26,pairs:34,completionMax:116us [09m33s] 12193 ab:aaaa=ab,bbba=b finite:18;idempotents:1,abb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=abbbbbb,aaaa=ab [09m33s] from: 12193 ab:aaaa=ab,bbba=b finite:18;idempotents:1,abb,bbbbbbb to: 12187 ab:aaaa=ab,babb=b finite:18;idempotents:1,abb,bbbbbbb a=a,b=b [09m33s] # 12194 solved: rounds:1,rules:2,peak:2,longest:16,steps:4,word:12,work:400,nodes:32,pairs:4,completionMax:31us [09m33s] 12194 ab:aaaa=ab,bbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbbbbb=bbbbb,a=bbbb [09m33s] # 12195 solved: rounds:1,rules:3,peak:3,longest:13,steps:3,word:6,work:156,nodes:32,pairs:1,completionMax:17us [09m33s] 12195 ab:aaaa=ab,bbbb=b finite:52;idempotents:1,bbb,baaaaaa,aaaaaaaaa,bbbaaaaaaaaa,bbaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=aaaa,ab=aaaa,bbbb=b [09m33s] # 12196 solved: rounds:3,rules:4,peak:5,longest:9,steps:2,word:5,work:278,nodes:26,pairs:9,completionMax:46us [09m33s] 12196 ab:aaaa=bb,aaab=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b3=a2,a3b=a,a4=b2;saturation:a:a8=1;noncancellative:aab,1,ab,ab;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaaa [09m33s] # 12197 solved: rounds:2,rules:4,peak:5,longest:7,steps:4,word:3,work:217,nodes:20,pairs:7,completionMax:33us [09m33s] 12197 ab:aaaa=bb,aaab=b finite:10;idempotents:1,bbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b3=ab,a3b=b,a4=b2;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbb,ba=bbb,aaaa=bb [09m33s] # 12198 solved: rounds:5,rules:4,peak:8,longest:11,steps:3,word:5,work:2243,nodes:32,pairs:29,completionMax:172us [09m33s] 12198 ab:aaaa=bb,aaba=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b3=a2,a3b=a,a4=b2;saturation:a:a8=1;noncancellative:aab,1,ab,ab;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaaa [09m33s] from: 12198 ab:aaaa=bb,aaba=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b3=a2,a3b=a,a4=b2;saturation:a:a8=1;noncancellative:aab,1,ab,ab;smith:8 to: 12196 ab:aaaa=bb,aaab=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b3=a2,a3b=a,a4=b2;saturation:a:a8=1;noncancellative:aab,1,ab,ab;smith:8 a=a,b=b [09m33s] # 12199 solved: rounds:3,rules:4,peak:10,longest:7,steps:9,word:3,work:2073,nodes:34,pairs:35,completionMax:152us [09m33s] 12199 ab:aaaa=bb,aaba=b finite:10;idempotents:1,bbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b3=ab,a3b=b,a4=b2;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbb,ba=bbb,aaaa=bb [09m33s] from: 12199 ab:aaaa=bb,aaba=b finite:10;idempotents:1,bbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b3=ab,a3b=b,a4=b2;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 to: 12197 ab:aaaa=bb,aaab=b finite:10;idempotents:1,bbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b3=ab,a3b=b,a4=b2;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=a,b=b [09m33s] # 12200 solved: rounds:3,rules:2,peak:6,longest:16,steps:17,word:14,work:1604,nodes:44,pairs:15,completionMax:111us [09m33s] 12200 ab:aaaa=bb,aabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 12200 ab:aaaa=bb,aabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbbbb,b=b [09m33s] # 12201 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:126,nodes:24,pairs:2,completionMax:14us [09m33s] 12201 ab:aaaa=bb,aabb=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 a/b - - ab:aaaaaaaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12201 ab:aaaa=bb,aabb=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=b,b=bbbbbb [09m33s] # 12202 solved: rounds:4,rules:2,peak:11,longest:24,steps:15,word:21,work:3637,nodes:66,pairs:67,completionMax:383us [09m33s] 12202 ab:aaaa=bb,abab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 12202 ab:aaaa=bb,abab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbbbb,b=b [09m33s] # 12203 solved: rounds:2,rules:2,peak:7,longest:15,steps:4,word:5,work:1634,nodes:44,pairs:16,completionMax:89us [09m33s] 12203 ab:aaaa=bb,abab=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 a/b - - ab:aaaaaaaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12203 ab:aaaa=bb,abab=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=b,b=bbbbbb [09m33s] # 12204 solved: rounds:4,rules:2,peak:7,longest:12,steps:8,word:7,work:864,nodes:24,pairs:19,completionMax:78us [09m33s] 12204 ab:aaaa=bb,abba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 12204 ab:aaaa=bb,abba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbbbb,b=b [09m33s] # 12205 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:125,nodes:24,pairs:2,completionMax:14us [09m33s] 12205 ab:aaaa=bb,abba=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 a/b - - ab:aaaaaaaaaaaa=aaaa,b=aaaaaa [09m33s] from: 12205 ab:aaaa=bb,abba=b finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaaaa,aa,aaaaaaa,aaaaaaaaa;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=b,b=bbbbbb [09m33s] # 12206 solved: rounds:2,rules:4,peak:5,longest:13,steps:2,word:7,work:320,nodes:34,pairs:9,completionMax:42us [09m33s] 12206 ab:aaaa=bb,abbb=a finite:14;idempotents:1,aaaaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a4=b2,ab3=a,b5=b2;saturation:a:a12=1;noncancellative:bbb,1,ab,ab;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,ba=aaaaaaaaa,ab=aaaaaaaaa,bb=aaaa [09m33s] # 12207 solved: rounds:4,rules:4,peak:8,longest:17,steps:8,word:14,work:1972,nodes:50,pairs:18,completionMax:105us [09m33s] 12207 ab:aaaa=bb,abbb=b finite:14;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a4=b2,ab3=b,b5=a3b;saturation:a:a10=1;noncancellative:abb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbbbb,ba=bbbbbbbbb,aaaa=bb [09m33s] # 12208 solved: rounds:5,rules:2,peak:7,longest:12,steps:12,word:7,work:1495,nodes:26,pairs:22,completionMax:111us [09m33s] 12208 ab:aaaa=bb,baab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 12208 ab:aaaa=bb,baab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b8;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbbbb,b=b [09m33s] # 12209 solved: rounds:3,rules:5,peak:6,longest:12,steps:2,word:5,work:842,nodes:32,pairs:11,completionMax:60us [09m33s] 12209 ab:aaaa=bb,baab=b infinite a/b - - ab:aaaaaaaaaaaa=aaaa,baaaa=aaaaaaaaaa,aaaab=aaaaaaaaaa,bb=aaaa,baab=b [09m33s] # 12210 solved: rounds:2,rules:4,peak:5,longest:13,steps:2,word:7,work:330,nodes:28,pairs:10,completionMax:39us [09m33s] 12210 ab:aaaa=bb,babb=a finite:14;idempotents:1,aaaaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a4=b2,ab3=a,b5=b2;saturation:a:a12=1;noncancellative:bbb,1,ab,ab;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,ba=aaaaaaaaa,ab=aaaaaaaaa,bb=aaaa [09m33s] from: 12210 ab:aaaa=bb,babb=a finite:14;idempotents:1,aaaaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a4=b2,ab3=a,b5=b2;saturation:a:a12=1;noncancellative:bbb,1,ab,ab;smith:12 to: 12206 ab:aaaa=bb,abbb=a finite:14;idempotents:1,aaaaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a4=b2,ab3=a,b5=b2;saturation:a:a12=1;noncancellative:bbb,1,ab,ab;smith:12 a=a,b=b [09m33s] # 12211 solved: rounds:6,rules:4,peak:8,longest:11,steps:5,word:11,work:1078,nodes:28,pairs:24,completionMax:99us [09m33s] 12211 ab:aaaa=bb,babb=b finite:14;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a4=b2,ab3=b,b5=a3b;saturation:a:a10=1;noncancellative:abb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbbbb,ba=bbbbbbbbb,aaaa=bb [09m33s] from: 12211 ab:aaaa=bb,babb=b finite:14;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a4=b2,ab3=b,b5=a3b;saturation:a:a10=1;noncancellative:abb,1,ab,ab;smith:10 to: 12207 ab:aaaa=bb,abbb=b finite:14;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a4=b2,ab3=b,b5=a3b;saturation:a:a10=1;noncancellative:abb,1,ab,ab;smith:10 a=a,b=b [09m33s] # 12212 solved: rounds:1,rules:2,peak:2,longest:16,steps:3,word:9,work:252,nodes:32,pairs:4,completionMax:24us [09m33s] 12212 ab:aaaa=bb,bbbb=a finite:16;idempotents:1,bbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b2,a=b4;saturation:a:a14=1;noncancellative:bbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:14 b/a - - ab:bbbbbbbbbbbbbbbb=bb,a=bbbb [09m33s] # 12213 solved: rounds:1,rules:2,peak:2,longest:16,steps:2,word:7,work:168,nodes:32,pairs:2,completionMax:22us [09m33s] 12213 ab:aaaa=bb,bbbb=b finite:16;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a4,b=a8;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaaaaaa,aaaaaaaaa;smith:12 a/b - - ab:aaaaaaaaaaaaaaaa=aaaa,b=aaaaaaaa [09m33s] from: 12213 ab:aaaa=bb,bbbb=b finite:16;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a4,b=a8;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaaaaaa,aaaaaaaaa;smith:12 to: 4630 ab:aaaa=a,bbbb=a finite:16;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b4,a=b4;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbb,bbbbb;smith:12 a=b,b=bbbbbbbb [09m33s] # 12214 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:155,nodes:10,pairs:6,completionMax:22us [09m33s] 12214 ab:aaab=aa,aaba=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12214 ab:aaab=aa,aaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12215 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:201,nodes:18,pairs:16,completionMax:53us [09m33s] 12215 ab:aaab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [09m33s] from: 12215 ab:aaab=aa,aaba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [09m33s] # 12216 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:10,pairs:5,completionMax:9us [09m33s] 12216 ab:aaab=aa,aabb=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12216 ab:aaab=aa,aabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12217 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:0,work:40,nodes:10,pairs:6,completionMax:13us [09m33s] 12217 ab:aaab=aa,aabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 12217 ab:aaab=aa,aabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 12218 solved: rounds:3,rules:2,peak:5,longest:4,steps:4,word:0,work:470,nodes:12,pairs:22,completionMax:55us [09m33s] 12218 ab:aaab=aa,abaa=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12218 ab:aaab=aa,abaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12219 solved: rounds:2,rules:2,peak:11,longest:5,steps:4,word:2,work:909,nodes:26,pairs:22,completionMax:92us [09m33s] 12219 ab:aaab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [09m33s] from: 12219 ab:aaab=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [09m33s] # 12220 solved: rounds:2,rules:2,peak:6,longest:4,steps:5,word:0,work:337,nodes:12,pairs:12,completionMax:34us [09m33s] 12220 ab:aaab=aa,abab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12220 ab:aaab=aa,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12221 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:1,work:159,nodes:12,pairs:5,completionMax:20us [09m33s] 12221 ab:aaab=aa,abab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 12221 ab:aaab=aa,abab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 12222 solved: rounds:4,rules:3,peak:5,longest:4,steps:3,word:0,work:432,nodes:14,pairs:9,completionMax:42us [09m33s] 12222 ab:aaab=aa,abba=a infinite ab - - ab:aaa=aa,aab=aa,abba=a [09m33s] from: 12222 ab:aaab=aa,abba=a infinite to: 5106 ab:aab=aa,abba=a infinite a=a,b=b [09m33s] # 12223 solved: rounds:3,rules:2,peak:13,longest:4,steps:4,word:1,work:1508,nodes:22,pairs:51,completionMax:170us [09m33s] 12223 ab:aaab=aa,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 12223 ab:aaab=aa,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 12224 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:75,nodes:14,pairs:3,completionMax:18us [09m33s] 12224 ab:aaab=aa,abbb=a infinite a/b - - ab:aaaaa=aa,aab=aaaa,abbb=a [09m33s] # 12225 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:14,pairs:7,completionMax:22us [09m33s] 12225 ab:aaab=aa,abbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 12225 ab:aaab=aa,abbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 12226 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:630,nodes:16,pairs:22,completionMax:65us [09m33s] 12226 ab:aaab=aa,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12226 ab:aaab=aa,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12227 solved: rounds:3,rules:4,peak:6,longest:5,steps:7,word:4,work:885,nodes:16,pairs:21,completionMax:77us [09m33s] 12227 ab:aaab=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aabbb=aa,aaa=aabb [09m33s] # 12228 solved: rounds:4,rules:3,peak:6,longest:4,steps:4,word:0,work:615,nodes:14,pairs:23,completionMax:71us [09m33s] 12228 ab:aaab=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12228 ab:aaab=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12229 solved: rounds:4,rules:4,peak:5,longest:4,steps:3,word:0,work:165,nodes:14,pairs:9,completionMax:28us [09m33s] 12229 ab:aaab=aa,baab=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12229 ab:aaab=aa,baab=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12230 solved: rounds:4,rules:3,peak:8,longest:4,steps:4,word:0,work:1043,nodes:18,pairs:30,completionMax:92us [09m33s] 12230 ab:aaab=aa,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12230 ab:aaab=aa,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12231 solved: rounds:2,rules:4,peak:7,longest:4,steps:4,word:0,work:375,nodes:18,pairs:16,completionMax:47us [09m33s] 12231 ab:aaab=aa,baba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12231 ab:aaab=aa,baba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12232 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:1,work:233,nodes:16,pairs:7,completionMax:25us [09m33s] 12232 ab:aaab=aa,babb=a infinite a/b - - ab:aaaaa=aa,baa=aaaa,aab=aaaa,baba=aaa,babb=a [09m33s] # 12233 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:62,nodes:14,pairs:2,completionMax:10us [09m33s] 12233 ab:aaab=aa,babb=b infinite ab - - ab:aaa=aa,aab=aa,babb=b [09m33s] from: 12233 ab:aaab=aa,babb=b infinite to: 5117 ab:aab=aa,babb=b infinite a=a,b=b [09m33s] # 12234 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:585,nodes:18,pairs:25,completionMax:73us [09m33s] 12234 ab:aaab=aa,bbaa=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 12234 ab:aaab=aa,bbaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 12235 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:0,work:1316,nodes:22,pairs:43,completionMax:108us [09m33s] 12235 ab:aaab=aa,bbaa=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12235 ab:aaab=aa,bbaa=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12236 solved: rounds:3,rules:5,peak:11,longest:6,steps:4,word:1,work:2350,nodes:42,pairs:33,completionMax:203us [09m33s] 12236 ab:aaab=aa,bbab=a infinite a/b - - ab:aaaaa=aa,aab=aaaa,bbaa=abaaa,abab=abaaa,bbab=a [09m33s] # 12237 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:126,nodes:18,pairs:5,completionMax:17us [09m33s] 12237 ab:aaab=aa,bbab=b infinite ab - - ab:aaa=aa,aab=aa,bbab=b [09m33s] from: 12237 ab:aaab=aa,bbab=b infinite to: 5121 ab:aab=aa,bbab=b infinite a=a,b=b [09m33s] # 12238 solved: rounds:5,rules:3,peak:6,longest:7,steps:3,word:1,work:976,nodes:24,pairs:9,completionMax:74us [09m33s] 12238 ab:aaab=aa,bbba=a infinite a/b - - ab:aaaaa=aa,aab=aaaa,bbba=a [09m33s] # 12239 solved: rounds:3,rules:4,peak:9,longest:5,steps:3,word:0,work:816,nodes:22,pairs:28,completionMax:92us [09m33s] 12239 ab:aaab=aa,bbba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12239 ab:aaab=aa,bbba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12240 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:6,work:360,nodes:26,pairs:3,completionMax:23us [09m33s] 12240 ab:aaab=aa,bbbb=a finite:13;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b8,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:5 b/a - - ab:bbbbbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] # 12241 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:1,work:109,nodes:18,pairs:4,completionMax:33us [09m33s] 12241 ab:aaab=aa,bbbb=b infinite a/b - - ab:aaaaa=aa,aab=aaaa,bbbb=b [09m33s] # 12242 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:81,nodes:12,pairs:4,completionMax:17us [09m33s] 12242 ab:aaab=ab,aaba=a infinite ab - - ab:aaa=a,aba=aa [09m33s] from: 12242 ab:aaab=ab,aaba=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [09m33s] # 12243 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:208,nodes:20,pairs:15,completionMax:31us [09m33s] 12243 ab:aaab=ab,aaba=b infinite ab - - ab:ba=b,aab=b [09m33s] from: 12243 ab:aaab=ab,aaba=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [09m33s] # 12244 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:12,pairs:3,completionMax:7us [09m33s] 12244 ab:aaab=ab,aabb=a infinite ab - - ab:aaa=a,abb=aa [09m33s] from: 12244 ab:aaab=ab,aabb=a infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [09m33s] # 12245 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:12,pairs:3,completionMax:8us [09m33s] 12245 ab:aaab=ab,aabb=b infinite ab - - ab:bb=b,aab=b [09m33s] from: 12245 ab:aaab=ab,aabb=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [09m33s] # 12246 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:161,nodes:12,pairs:4,completionMax:16us [09m33s] 12246 ab:aaab=ab,abaa=a infinite ab - - ab:aaa=a,aba=aa [09m33s] from: 12246 ab:aaab=ab,abaa=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [09m33s] # 12247 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:1,work:329,nodes:22,pairs:14,completionMax:33us [09m33s] 12247 ab:aaab=ab,abaa=b infinite a/b - - ab:baaaa=b,ab=baa [09m33s] from: 12247 ab:aaab=ab,abaa=b infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [09m33s] # 12248 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:150,nodes:12,pairs:7,completionMax:14us [09m33s] 12248 ab:aaab=ab,abab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 12248 ab:aaab=ab,abab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 12249 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:103,nodes:16,pairs:7,completionMax:12us [09m33s] 12249 ab:aaab=ab,abab=b infinite ab - - ab:bb=b,aab=b,bab=ab [09m33s] from: 12249 ab:aaab=ab,abab=b infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [09m33s] # 12250 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:46,nodes:12,pairs:1,completionMax:6us [09m33s] 12250 ab:aaab=ab,abba=a infinite ab - - ab:aaa=a,abba=a [09m33s] from: 12250 ab:aaab=ab,abba=a infinite to: 1990 ab:aaa=a,abba=a infinite a=a,b=b [09m33s] # 12251 solved: rounds:6,rules:3,peak:7,longest:5,steps:4,word:1,work:559,nodes:22,pairs:13,completionMax:68us [09m33s] 12251 ab:aaab=ab,abba=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [09m33s] from: 12251 ab:aaab=ab,abba=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [09m33s] # 12252 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:12,pairs:1,completionMax:8us [09m33s] 12252 ab:aaab=ab,abbb=a infinite ab - - ab:aaa=a,abbb=a [09m33s] from: 12252 ab:aaab=ab,abbb=a infinite to: 1992 ab:aaa=a,abbb=a infinite a=a,b=b [09m33s] # 12253 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:1,work:28,nodes:12,pairs:4,completionMax:13us [09m33s] 12253 ab:aaab=ab,abbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12253 ab:aaab=ab,abbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12254 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:293,nodes:14,pairs:9,completionMax:32us [09m33s] 12254 ab:aaab=ab,baaa=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 12254 ab:aaab=ab,baaa=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 12255 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:86,nodes:14,pairs:3,completionMax:14us [09m33s] 12255 ab:aaab=ab,baaa=b infinite ab - - ab:bab=bb,aaab=ab,baaa=b,baab=bb [09m33s] # 12256 solved: rounds:3,rules:3,peak:9,longest:4,steps:4,word:0,work:779,nodes:16,pairs:16,completionMax:65us [09m33s] 12256 ab:aaab=ab,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12256 ab:aaab=ab,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12257 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12257 ab:aaab=ab,baab=b infinite ab - - ab:aaab=ab,baab=b [09m33s] # 12258 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:346,nodes:16,pairs:8,completionMax:48us [09m33s] 12258 ab:aaab=ab,baba=a infinite ba - - ab:bba=aa,aba=baa,aaa=a [09m33s] from: 12258 ab:aaab=ab,baba=a infinite to: 5201 ab:aab=bb,abab=b infinite a=b,b=a [09m33s] # 12259 solved: rounds:5,rules:4,peak:7,longest:4,steps:3,word:0,work:524,nodes:18,pairs:12,completionMax:56us [09m33s] 12259 ab:aaab=ab,baba=b infinite ab - - ab:bb=b,baa=b,bab=ba,aaab=ab [09m33s] # 12260 solved: rounds:4,rules:3,peak:18,longest:11,steps:9,word:6,work:6860,nodes:42,pairs:46,completionMax:311us [09m33s] 12260 ab:aaab=ab,babb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aaa=a [09m33s] from: 12260 ab:aaab=ab,babb=a infinite to: 1996 ab:aaa=a,babb=a infinite a=a,b=b [09m33s] # 12261 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12261 ab:aaab=ab,babb=b infinite ab - - ab:aaab=ab,babb=b [09m33s] # 12262 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:167,nodes:14,pairs:5,completionMax:28us [09m33s] 12262 ab:aaab=ab,bbaa=a infinite ab - - ab:aaa=a,bba=aa [09m33s] from: 12262 ab:aaab=ab,bbaa=a infinite to: 1986 ab:aaa=a,aabb=a infinite anti:a=a,b=b [09m33s] # 12263 solved: rounds:4,rules:3,peak:6,longest:4,steps:2,word:0,work:287,nodes:18,pairs:8,completionMax:39us [09m33s] 12263 ab:aaab=ab,bbaa=b infinite ab - - ab:bb=b,baa=b,aaab=ab [09m33s] # 12264 solved: rounds:3,rules:3,peak:12,longest:10,steps:11,word:9,work:4516,nodes:38,pairs:20,completionMax:131us [09m33s] 12264 ab:aaab=ab,bbab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aaa=a [09m33s] from: 12264 ab:aaab=ab,bbab=a infinite to: 1996 ab:aaa=a,babb=a infinite anti:a=a,b=b [09m33s] # 12265 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12265 ab:aaab=ab,bbab=b infinite ab - - ab:aaab=ab,bbab=b [09m33s] # 12266 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:53,nodes:14,pairs:1,completionMax:6us [09m33s] 12266 ab:aaab=ab,bbba=a infinite ab - - ab:aaaa=aa,aaab=ab,bbba=a [09m33s] # 12267 solved: rounds:5,rules:3,peak:7,longest:6,steps:3,word:2,work:469,nodes:22,pairs:9,completionMax:46us [09m33s] 12267 ab:aaab=ab,bbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aaab=ab [09m33s] # 12268 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:6,work:189,nodes:26,pairs:3,completionMax:14us [09m33s] 12268 ab:aaab=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbbb=bbbbb,a=bbbb [09m33s] # 12269 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [09m33s] 12269 ab:aaab=ab,bbbb=b infinite ab - - ab:aaab=ab,bbbb=b [09m33s] # 12270 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:388,nodes:16,pairs:22,completionMax:60us [09m33s] 12270 ab:aaab=ba,aaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 12270 ab:aaab=ba,aaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12271 solved: rounds:2,rules:2,peak:3,longest:6,steps:6,word:2,work:106,nodes:14,pairs:4,completionMax:16us [09m33s] 12271 ab:aaab=ba,aaba=b infinite a/b - - ab:baaaaa=b,ab=baa [09m33s] # 12272 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:1671,nodes:24,pairs:28,completionMax:129us [09m33s] 12272 ab:aaab=ba,aabb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12272 ab:aaab=ba,aabb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12273 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:199,nodes:14,pairs:4,completionMax:23us [09m33s] 12273 ab:aaab=ba,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12273 ab:aaab=ba,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12274 solved: rounds:3,rules:3,peak:8,longest:5,steps:5,word:0,work:857,nodes:22,pairs:29,completionMax:101us [09m33s] 12274 ab:aaab=ba,abaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 12274 ab:aaab=ba,abaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12275 solved: rounds:3,rules:2,peak:7,longest:13,steps:26,word:29,work:3118,nodes:54,pairs:18,completionMax:117us [09m33s] 12275 ab:aaab=ba,abaa=b infinite a/b - - ab:baaaaaaa=b,ab=baaaaa [09m33s] # 12276 solved: rounds:4,rules:3,peak:9,longest:4,steps:5,word:0,work:978,nodes:20,pairs:28,completionMax:69us [09m33s] 12276 ab:aaab=ba,abab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12276 ab:aaab=ba,abab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12277 solved: rounds:3,rules:3,peak:8,longest:4,steps:3,word:0,work:510,nodes:18,pairs:20,completionMax:75us [09m33s] 12277 ab:aaab=ba,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12277 ab:aaab=ba,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12278 solved: rounds:4,rules:3,peak:17,longest:6,steps:4,word:0,work:3901,nodes:38,pairs:112,completionMax:374us [09m33s] 12278 ab:aaab=ba,abba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12278 ab:aaab=ba,abba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12279 solved: rounds:3,rules:3,peak:16,longest:5,steps:5,word:0,work:3104,nodes:34,pairs:98,completionMax:242us [09m33s] 12279 ab:aaab=ba,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12279 ab:aaab=ba,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12280 solved: rounds:1,rules:3,peak:3,longest:28,steps:30,word:24,work:765,nodes:62,pairs:1,completionMax:67us [09m33s] 12280 ab:aaab=ba,abbb=a infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaa=aa,ba=aaab,abbb=a [09m33s] # 12281 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:5,work:121,nodes:12,pairs:8,completionMax:22us [09m33s] 12281 ab:aaab=ba,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12281 ab:aaab=ba,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12282 solved: rounds:2,rules:3,peak:10,longest:5,steps:3,word:0,work:672,nodes:20,pairs:20,completionMax:71us [09m33s] 12282 ab:aaab=ba,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 12282 ab:aaab=ba,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12283 solved: rounds:0,rules:2,peak:2,longest:10,steps:11,word:6,work:115,nodes:22,pairs:0,completionMax:4us [09m33s] 12283 ab:aaab=ba,baaa=b infinite reversed:a/b - - ab:aaaaaaaaab=b,ba=aaab [09m33s] # 12284 solved: rounds:4,rules:3,peak:10,longest:4,steps:4,word:0,work:1088,nodes:20,pairs:42,completionMax:95us [09m33s] 12284 ab:aaab=ba,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12284 ab:aaab=ba,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12285 solved: rounds:2,rules:3,peak:4,longest:10,steps:14,word:10,work:599,nodes:34,pairs:3,completionMax:26us [09m33s] 12285 ab:aaab=ba,baab=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaab,bb=b [09m33s] # 12286 solved: rounds:3,rules:3,peak:8,longest:5,steps:5,word:0,work:1012,nodes:22,pairs:25,completionMax:78us [09m33s] 12286 ab:aaab=ba,baba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12286 ab:aaab=ba,baba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12287 solved: rounds:2,rules:3,peak:4,longest:14,steps:14,word:22,work:743,nodes:46,pairs:4,completionMax:27us [09m33s] 12287 ab:aaab=ba,baba=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaab,bb=b [09m33s] from: 12287 ab:aaab=ba,baba=b infinite to: 12285 ab:aaab=ba,baab=b infinite a=a,b=b [09m33s] # 12288 solved: rounds:3,rules:3,peak:15,longest:7,steps:6,word:0,work:6418,nodes:42,pairs:109,completionMax:396us [09m33s] 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [09m33s] # 12289 solved: rounds:4,rules:3,peak:5,longest:6,steps:3,word:2,work:387,nodes:22,pairs:9,completionMax:46us [09m33s] 12289 ab:aaab=ba,babb=b infinite b/a - - ab:bbbbb=b,ba=bbb,aaab=bbb [09m33s] # 12290 solved: rounds:3,rules:3,peak:14,longest:7,steps:5,word:0,work:2474,nodes:44,pairs:58,completionMax:168us [09m33s] 12290 ab:aaab=ba,bbaa=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12290 ab:aaab=ba,bbaa=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12291 solved: rounds:2,rules:3,peak:4,longest:20,steps:19,word:34,work:932,nodes:58,pairs:4,completionMax:35us [09m33s] 12291 ab:aaab=ba,bbaa=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaab,bb=b [09m33s] from: 12291 ab:aaab=ba,bbaa=b infinite to: 12285 ab:aaab=ba,baab=b infinite a=a,b=b [09m33s] # 12292 solved: rounds:3,rules:3,peak:16,longest:7,steps:6,word:0,work:7150,nodes:46,pairs:117,completionMax:394us [09m33s] 12292 ab:aaab=ba,bbab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [09m33s] from: 12292 ab:aaab=ba,bbab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [09m33s] # 12293 solved: rounds:4,rules:3,peak:8,longest:7,steps:20,word:4,work:2343,nodes:30,pairs:26,completionMax:136us [09m33s] 12293 ab:aaab=ba,bbab=b infinite b/a - - ab:bbbbb=b,ba=bbb,aaab=bbb [09m33s] from: 12293 ab:aaab=ba,bbab=b infinite to: 12289 ab:aaab=ba,babb=b infinite a=a,b=b [09m33s] # 12294 solved: rounds:6,rules:3,peak:7,longest:30,steps:21,word:18,work:5152,nodes:118,pairs:21,completionMax:289us [09m33s] 12294 ab:aaab=ba,bbba=a infinite a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaa=a,ab=baaaaaaaaa,bbba=a [09m33s] # 12295 solved: rounds:3,rules:3,peak:8,longest:6,steps:3,word:2,work:688,nodes:26,pairs:16,completionMax:53us [09m33s] 12295 ab:aaab=ba,bbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aaab=bbb [09m33s] from: 12295 ab:aaab=ba,bbba=b infinite to: 12289 ab:aaab=ba,babb=b infinite a=a,b=b [09m33s] # 12296 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:6,work:192,nodes:26,pairs:3,completionMax:14us [09m33s] 12296 ab:aaab=ba,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12296 ab:aaab=ba,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 12268 ab:aaab=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=bbbb,b=b [09m33s] # 12297 solved: rounds:1,rules:3,peak:3,longest:82,steps:83,word:78,work:4499,nodes:170,pairs:1,completionMax:62us [09m33s] 12297 ab:aaab=ba,bbbb=b infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab=aaab,ba=aaab,bbbb=b [09m33s] # 12298 solved: rounds:4,rules:3,peak:6,longest:9,steps:2,word:2,work:514,nodes:28,pairs:14,completionMax:68us [09m33s] 12298 ab:aaab=bb,aaba=a finite:12;idempotents:1,aab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaa,bb=aaab [09m33s] # 12299 solved: rounds:4,rules:3,peak:10,longest:5,steps:4,word:0,work:1347,nodes:28,pairs:38,completionMax:137us [09m33s] 12299 ab:aaab=bb,aaba=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 12299 ab:aaab=bb,aaba=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 12300 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:101,nodes:20,pairs:7,completionMax:29us [09m33s] 12300 ab:aaab=bb,aabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12300 ab:aaab=bb,aabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12301 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:26,nodes:14,pairs:2,completionMax:19us [09m33s] 12301 ab:aaab=bb,aabb=b infinite b/a - - ab:bbbbbb=b,ab=bbb [09m33s] from: 12301 ab:aaab=bb,aabb=b infinite to: 5048 ab:aaa=ab,aabb=a infinite anti:a=b,b=a [09m33s] # 12302 solved: rounds:5,rules:3,peak:9,longest:8,steps:3,word:2,work:1182,nodes:28,pairs:24,completionMax:123us [09m33s] 12302 ab:aaab=bb,abaa=a finite:12;idempotents:1,aab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaa,bb=aaab [09m33s] from: 12302 ab:aaab=bb,abaa=a finite:12;idempotents:1,aab,aaaaa to: 12298 ab:aaab=bb,aaba=a finite:12;idempotents:1,aab,aaaaa a=a,b=b [09m33s] # 12303 solved: rounds:6,rules:3,peak:7,longest:7,steps:10,word:5,work:938,nodes:22,pairs:19,completionMax:79us [09m33s] 12303 ab:aaab=bb,abaa=b infinite a/b - - ab:baaaaaa=b,ab=baaaa,bb=b [09m33s] from: 12303 ab:aaab=bb,abaa=b infinite to: 896 ab:aa=a,babb=a infinite a=b,b=a [09m33s] # 12304 solved: rounds:3,rules:2,peak:7,longest:14,steps:4,word:8,work:1516,nodes:38,pairs:17,completionMax:106us [09m33s] 12304 ab:aaab=bb,abab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12304 ab:aaab=bb,abab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12305 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:197,nodes:18,pairs:7,completionMax:25us [09m33s] 12305 ab:aaab=bb,abab=b infinite b/a - - ab:bbbbbb=b,ab=bbb [09m33s] from: 12305 ab:aaab=bb,abab=b infinite to: 5048 ab:aaa=ab,aabb=a infinite anti:a=b,b=a [09m33s] # 12306 solved: rounds:4,rules:3,peak:9,longest:11,steps:3,word:2,work:1653,nodes:46,pairs:32,completionMax:138us [09m33s] 12306 ab:aaab=bb,abba=a finite:16;idempotents:1,aaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaaa,bb=aaab [09m33s] # 12307 solved: rounds:4,rules:3,peak:7,longest:9,steps:3,word:2,work:971,nodes:36,pairs:18,completionMax:83us [09m33s] 12307 ab:aaab=bb,abba=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12307 ab:aaab=bb,abba=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 12308 solved: rounds:2,rules:4,peak:5,longest:10,steps:2,word:4,work:311,nodes:32,pairs:10,completionMax:40us [09m33s] 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] # 12309 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:4,work:40,nodes:18,pairs:4,completionMax:13us [09m33s] 12309 ab:aaab=bb,abbb=b infinite b/a - - ab:bbbbbbbb=b,ab=bbbbbb [09m33s] # 12310 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:2,work:112,nodes:20,pairs:4,completionMax:26us [09m33s] 12310 ab:aaab=bb,baaa=a finite:12;idempotents:1,aab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaa,bb=aaab [09m33s] from: 12310 ab:aaab=bb,baaa=a finite:12;idempotents:1,aab,aaaaa to: 12298 ab:aaab=bb,aaba=a finite:12;idempotents:1,aab,aaaaa a=a,b=b [09m33s] # 12311 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:91,nodes:20,pairs:1,completionMax:9us [09m33s] 12311 ab:aaab=bb,baaa=b infinite a/b - - ab:baaa=b,aaaaaab=aaab,bb=aaab [09m33s] # 12312 solved: rounds:3,rules:2,peak:8,longest:16,steps:19,word:12,work:1874,nodes:42,pairs:31,completionMax:123us [09m33s] 12312 ab:aaab=bb,baab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12312 ab:aaab=bb,baab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12313 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:1us [09m33s] 12313 ab:aaab=bb,baab=b infinite ab - - ab:aaab=bb,baab=b [09m33s] # 12314 solved: rounds:2,rules:3,peak:3,longest:8,steps:1,word:2,work:68,nodes:18,pairs:5,completionMax:23us [09m33s] 12314 ab:aaab=bb,baba=a finite:16;idempotents:1,aaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaaa,bb=aaab [09m33s] from: 12314 ab:aaab=bb,baba=a finite:16;idempotents:1,aaaab,aaaaaaa to: 12306 ab:aaab=bb,abba=a finite:16;idempotents:1,aaaab,aaaaaaa a=a,b=b [09m33s] # 12315 solved: rounds:4,rules:3,peak:6,longest:7,steps:4,word:2,work:695,nodes:26,pairs:9,completionMax:63us [09m33s] 12315 ab:aaab=bb,baba=b infinite b/a - - ab:bbbbbb=b,ba=bbb,aaab=bb [09m33s] # 12316 solved: rounds:2,rules:4,peak:5,longest:13,steps:2,word:11,work:323,nodes:22,pairs:13,completionMax:44us [09m33s] 12316 ab:aaab=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12316 ab:aaab=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12317 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12317 ab:aaab=bb,babb=b infinite ab - - ab:aaab=bb,babb=b [09m33s] # 12318 solved: rounds:3,rules:3,peak:6,longest:10,steps:4,word:2,work:766,nodes:36,pairs:21,completionMax:93us [09m33s] 12318 ab:aaab=bb,bbaa=a finite:16;idempotents:1,aaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaaa,bb=aaab [09m33s] from: 12318 ab:aaab=bb,bbaa=a finite:16;idempotents:1,aaaab,aaaaaaa to: 12306 ab:aaab=bb,abba=a finite:16;idempotents:1,aaaab,aaaaaaa a=a,b=b [09m33s] # 12319 solved: rounds:4,rules:4,peak:6,longest:7,steps:2,word:2,work:443,nodes:26,pairs:8,completionMax:59us [09m33s] 12319 ab:aaab=bb,bbaa=b infinite b/a - - ab:bbbbbb=b,bab=bbbb,baa=bbbbb,aaab=bb [09m33s] # 12320 solved: rounds:3,rules:4,peak:8,longest:19,steps:2,word:13,work:2181,nodes:56,pairs:25,completionMax:114us [09m33s] 12320 ab:aaab=bb,bbab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12320 ab:aaab=bb,bbab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12321 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [09m33s] 12321 ab:aaab=bb,bbab=b infinite ab - - ab:aaab=bb,bbab=b [09m33s] # 12322 solved: rounds:4,rules:3,peak:7,longest:13,steps:2,word:4,work:853,nodes:48,pairs:13,completionMax:64us [09m33s] 12322 ab:aaab=bb,bbba=a finite:20;idempotents:1,aaaaaab,aaaaaaaaa a/b - - ab:aaaaaaaaaa=a,ba=aaaa,bb=aaab [09m33s] # 12323 solved: rounds:4,rules:3,peak:7,longest:9,steps:4,word:8,work:692,nodes:28,pairs:9,completionMax:59us [09m33s] 12323 ab:aaab=bb,bbba=b infinite b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aaab=bb [09m33s] # 12324 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:6,work:108,nodes:26,pairs:3,completionMax:11us [09m33s] 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbb [09m33s] # 12325 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [09m33s] 12325 ab:aaab=bb,bbbb=b infinite ab - - ab:aaab=bb,bbbb=b [09m33s] # 12326 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [09m33s] 12326 ab:aaba=aa,aabb=a infinite ab - - ab:aaba=aa,aabb=a [09m33s] # 12327 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:8,pairs:3,completionMax:12us [09m33s] 12327 ab:aaba=aa,aabb=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [09m33s] from: 12327 ab:aaba=aa,aabb=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [09m33s] # 12328 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:195,nodes:12,pairs:6,completionMax:24us [09m33s] 12328 ab:aaba=aa,abaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 12328 ab:aaba=aa,abaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 12329 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:4,work:534,nodes:28,pairs:14,completionMax:64us [09m33s] 12329 ab:aaba=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aa [09m33s] from: 12329 ab:aaba=aa,abaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aa [09m33s] # 12330 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:172,nodes:12,pairs:14,completionMax:28us [09m33s] 12330 ab:aaba=aa,abab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12330 ab:aaba=aa,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12331 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:228,nodes:16,pairs:13,completionMax:35us [09m33s] 12331 ab:aaba=aa,abab=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [09m33s] from: 12331 ab:aaba=aa,abab=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [09m33s] # 12332 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:4us [09m33s] 12332 ab:aaba=aa,abba=a infinite ab - - ab:aaba=aa,abba=a [09m33s] # 12333 solved: rounds:3,rules:2,peak:8,longest:4,steps:7,word:1,work:812,nodes:20,pairs:28,completionMax:63us [09m33s] 12333 ab:aaba=aa,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 12333 ab:aaba=aa,abba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 12334 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:3us [09m33s] 12334 ab:aaba=aa,abbb=a infinite ab - - ab:aaba=aa,abbb=a [09m33s] # 12335 solved: rounds:4,rules:3,peak:4,longest:4,steps:2,word:0,work:86,nodes:12,pairs:8,completionMax:26us [09m33s] 12335 ab:aaba=aa,abbb=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [09m33s] from: 12335 ab:aaba=aa,abbb=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [09m33s] # 12336 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:254,nodes:18,pairs:7,completionMax:33us [09m33s] 12336 ab:aaba=aa,baaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12336 ab:aaba=aa,baaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12337 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:1,work:950,nodes:22,pairs:35,completionMax:121us [09m33s] 12337 ab:aaba=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aabbb=aa,aaa=aabb [09m33s] from: 12337 ab:aaba=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb to: 12227 ab:aaab=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb a=a,b=b [09m33s] # 12338 solved: rounds:5,rules:3,peak:5,longest:4,steps:3,word:0,work:465,nodes:16,pairs:17,completionMax:57us [09m33s] 12338 ab:aaba=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12338 ab:aaba=aa,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12339 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:223,nodes:16,pairs:9,completionMax:37us [09m33s] 12339 ab:aaba=aa,baab=b infinite ab - - ab:aaa=aa,baa=ba,bab=b,aaba=aa [09m33s] # 12340 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:313,nodes:16,pairs:9,completionMax:26us [09m33s] 12340 ab:aaba=aa,baba=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12340 ab:aaba=aa,baba=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12341 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:158,nodes:14,pairs:11,completionMax:26us [09m33s] 12341 ab:aaba=aa,baba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12341 ab:aaba=aa,baba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12342 solved: rounds:2,rules:6,peak:6,longest:5,steps:2,word:1,work:303,nodes:18,pairs:7,completionMax:29us [09m33s] 12342 ab:aaba=aa,babb=a infinite a/b - - ab:aaaaa=aa,baa=aaaa,aaba=aa,baba=aaa,aabb=aaa,babb=a [09m33s] # 12343 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:38,nodes:14,pairs:1,completionMax:6us [09m33s] 12343 ab:aaba=aa,babb=b infinite ab - - ab:aaba=aa,aabb=aab,babb=b [09m33s] # 12344 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:49,nodes:16,pairs:1,completionMax:8us [09m33s] 12344 ab:aaba=aa,bbaa=a infinite ab - - ab:aba=a,bbaa=a [09m33s] from: 12344 ab:aaba=aa,bbaa=a infinite to: 2090 ab:aba=a,aabb=a infinite anti:a=a,b=b [09m33s] # 12345 solved: rounds:4,rules:4,peak:4,longest:4,steps:2,word:0,work:142,nodes:18,pairs:7,completionMax:23us [09m33s] 12345 ab:aaba=aa,bbaa=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12345 ab:aaba=aa,bbaa=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12346 solved: rounds:4,rules:5,peak:15,longest:7,steps:4,word:2,work:4969,nodes:48,pairs:29,completionMax:251us [09m33s] 12346 ab:aaba=aa,bbab=a infinite a/b - - ab:aaaaa=aa,aab=aaaa,bbaa=abaaa,abab=abaaa,bbab=a [09m33s] from: 12346 ab:aaba=aa,bbab=a infinite to: 12236 ab:aaab=aa,bbab=a infinite a=a,b=b [09m33s] # 12347 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [09m33s] 12347 ab:aaba=aa,bbab=b infinite ab - - ab:aaba=aa,bbab=b [09m33s] # 12348 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:5us [09m33s] 12348 ab:aaba=aa,bbba=a infinite ab - - ab:aaba=aa,bbba=a [09m33s] # 12349 solved: rounds:6,rules:4,peak:4,longest:4,steps:3,word:0,work:156,nodes:18,pairs:7,completionMax:24us [09m33s] 12349 ab:aaba=aa,bbba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 12349 ab:aaba=aa,bbba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 12350 solved: rounds:1,rules:2,peak:2,longest:13,steps:4,word:12,work:421,nodes:26,pairs:3,completionMax:23us [09m33s] 12350 ab:aaba=aa,bbbb=a finite:13;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b8,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:5 b/a - - ab:bbbbbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] from: 12350 ab:aaba=aa,bbbb=a finite:13;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b8,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:5 to: 12240 ab:aaab=aa,bbbb=a finite:13;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b8,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12351 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12351 ab:aaba=aa,bbbb=b infinite ab - - ab:aaba=aa,bbbb=b [09m33s] # 12352 solved: rounds:4,rules:3,peak:8,longest:5,steps:4,word:0,work:688,nodes:16,pairs:27,completionMax:54us [09m33s] 12352 ab:aaba=ab,aabb=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 12352 ab:aaba=ab,aabb=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 12353 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:832,nodes:20,pairs:34,completionMax:94us [09m33s] 12353 ab:aaba=ab,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12353 ab:aaba=ab,aabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12354 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:505,nodes:16,pairs:24,completionMax:52us [09m33s] 12354 ab:aaba=ab,abaa=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 12354 ab:aaba=ab,abaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 12355 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:335,nodes:18,pairs:18,completionMax:43us [09m33s] 12355 ab:aaba=ab,abaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [09m33s] from: 12355 ab:aaba=ab,abaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [09m33s] # 12356 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:235,nodes:14,pairs:7,completionMax:24us [09m33s] 12356 ab:aaba=ab,abab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 12356 ab:aaba=ab,abab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 12357 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:169,nodes:14,pairs:10,completionMax:27us [09m33s] 12357 ab:aaba=ab,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12357 ab:aaba=ab,abab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12358 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:916,nodes:18,pairs:33,completionMax:89us [09m33s] 12358 ab:aaba=ab,abba=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 12358 ab:aaba=ab,abba=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 12359 solved: rounds:3,rules:3,peak:13,longest:5,steps:5,word:0,work:2351,nodes:28,pairs:94,completionMax:245us [09m33s] 12359 ab:aaba=ab,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12359 ab:aaba=ab,abba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12360 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:0,work:602,nodes:16,pairs:13,completionMax:46us [09m33s] 12360 ab:aaba=ab,abbb=a infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbb=a [09m33s] # 12361 solved: rounds:2,rules:3,peak:9,longest:7,steps:5,word:2,work:831,nodes:28,pairs:11,completionMax:80us [09m33s] 12361 ab:aaba=ab,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12361 ab:aaba=ab,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12362 solved: rounds:3,rules:3,peak:13,longest:5,steps:5,word:0,work:1335,nodes:24,pairs:39,completionMax:148us [09m33s] 12362 ab:aaba=ab,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 12362 ab:aaba=ab,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12363 solved: rounds:2,rules:3,peak:4,longest:4,steps:5,word:3,work:264,nodes:16,pairs:9,completionMax:32us [09m33s] 12363 ab:aaba=ab,baaa=b infinite a/b - - ab:baaa=b,aab=abaa,bab=bbaa [09m33s] # 12364 solved: rounds:4,rules:3,peak:8,longest:8,steps:11,word:8,work:1479,nodes:32,pairs:15,completionMax:118us [09m33s] 12364 ab:aaba=ab,baab=a infinite a/b - - ab:aaaaaaa=a,ab=baaaaa,bba=aaaa [09m33s] from: 12364 ab:aaba=ab,baab=a infinite to: 5285 ab:aba=bb,abba=b infinite a=b,b=a [09m33s] # 12365 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:366,nodes:18,pairs:18,completionMax:46us [09m33s] 12365 ab:aaba=ab,baab=b infinite ba - - ab:bb=b,bab=ba,baa=b,aab=aba [09m33s] # 12366 solved: rounds:4,rules:3,peak:7,longest:4,steps:4,word:0,work:587,nodes:18,pairs:19,completionMax:65us [09m33s] 12366 ab:aaba=ab,baba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12366 ab:aaba=ab,baba=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12367 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:201,nodes:14,pairs:13,completionMax:30us [09m33s] 12367 ab:aaba=ab,baba=b infinite ba - - ab:bb=b,bab=ba,baa=b,aab=aba [09m33s] from: 12367 ab:aaba=ab,baba=b infinite to: 12365 ab:aaba=ab,baab=b infinite a=a,b=b [09m33s] # 12368 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:1759,nodes:24,pairs:30,completionMax:124us [09m33s] 12368 ab:aaba=ab,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [09m33s] from: 12368 ab:aaba=ab,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [09m33s] # 12369 solved: rounds:4,rules:3,peak:9,longest:7,steps:3,word:1,work:1196,nodes:32,pairs:43,completionMax:167us [09m33s] 12369 ab:aaba=ab,babb=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=abbb [09m33s] # 12370 solved: rounds:3,rules:4,peak:11,longest:5,steps:3,word:0,work:1216,nodes:22,pairs:37,completionMax:87us [09m33s] 12370 ab:aaba=ab,bbaa=a infinite ab - - ab:aaa=a,aba=aab,abb=aa,bba=aa [09m33s] from: 12370 ab:aaba=ab,bbaa=a infinite to: 5211 ab:aab=bb,baba=b infinite a=b,b=a [09m33s] # 12371 solved: rounds:3,rules:4,peak:7,longest:4,steps:3,word:0,work:396,nodes:18,pairs:24,completionMax:45us [09m33s] 12371 ab:aaba=ab,bbaa=b infinite ba - - ab:bb=b,bab=ba,baa=b,aab=aba [09m33s] from: 12371 ab:aaba=ab,bbaa=b infinite to: 12365 ab:aaba=ab,baab=b infinite a=a,b=b [09m33s] # 12372 solved: rounds:3,rules:3,peak:11,longest:12,steps:7,word:9,work:2880,nodes:32,pairs:68,completionMax:307us [09m33s] 12372 ab:aaba=ab,bbab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aaa=a [09m33s] from: 12372 ab:aaba=ab,bbab=a infinite to: 1996 ab:aaa=a,babb=a infinite anti:a=a,b=b [09m33s] # 12373 solved: rounds:3,rules:3,peak:10,longest:6,steps:3,word:1,work:1204,nodes:32,pairs:38,completionMax:123us [09m33s] 12373 ab:aaba=ab,bbab=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=abbb [09m33s] from: 12373 ab:aaba=ab,bbab=b infinite to: 12369 ab:aaba=ab,babb=b infinite a=a,b=b [09m33s] # 12374 solved: rounds:3,rules:6,peak:10,longest:5,steps:6,word:0,work:1647,nodes:28,pairs:26,completionMax:109us [09m33s] 12374 ab:aaba=ab,bbba=a infinite ab - - ab:aba=aab,aaaa=aa,aaab=ab,abba=aabb,abbb=aaa,bbba=a [09m33s] # 12375 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:2,work:591,nodes:20,pairs:19,completionMax:67us [09m33s] 12375 ab:aaba=ab,bbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=abbb [09m33s] from: 12375 ab:aaba=ab,bbba=b infinite to: 12369 ab:aaba=ab,babb=b infinite a=a,b=b [09m33s] # 12376 solved: rounds:1,rules:2,peak:2,longest:13,steps:3,word:9,work:225,nodes:26,pairs:3,completionMax:19us [09m33s] 12376 ab:aaba=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12376 ab:aaba=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 12268 ab:aaab=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=bbbb,b=b [09m33s] # 12377 solved: rounds:3,rules:5,peak:7,longest:5,steps:4,word:0,work:860,nodes:26,pairs:15,completionMax:56us [09m33s] 12377 ab:aaba=ab,bbbb=b infinite ab - - ab:aba=aab,aaab=ab,abba=aabb,bbbb=b,abbba=aabbb [09m33s] # 12378 solved: rounds:4,rules:4,peak:5,longest:4,steps:3,word:0,work:334,nodes:16,pairs:9,completionMax:41us [09m33s] 12378 ab:aaba=ba,aabb=a infinite ba - - ab:bba=aa,abb=aa,aba=baa,aaa=a [09m33s] # 12379 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:10,pairs:3,completionMax:12us [09m33s] 12379 ab:aaba=ba,aabb=b infinite ab - - ab:bb=b,aab=b [09m33s] from: 12379 ab:aaba=ba,aabb=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [09m33s] # 12380 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:588,nodes:22,pairs:20,completionMax:53us [09m33s] 12380 ab:aaba=ba,abaa=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 12380 ab:aaba=ba,abaa=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 12381 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:3,work:232,nodes:22,pairs:8,completionMax:32us [09m33s] 12381 ab:aaba=ba,abaa=b infinite a/b - - ab:baaaa=b,ab=baa [09m33s] from: 12381 ab:aaba=ba,abaa=b infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [09m33s] # 12382 solved: rounds:2,rules:3,peak:9,longest:5,steps:4,word:0,work:930,nodes:18,pairs:22,completionMax:79us [09m33s] 12382 ab:aaba=ba,abab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12382 ab:aaba=ba,abab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12383 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:339,nodes:20,pairs:13,completionMax:41us [09m33s] 12383 ab:aaba=ba,abab=b infinite ab - - ab:bb=b,aab=b,bab=ab [09m33s] from: 12383 ab:aaba=ba,abab=b infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [09m33s] # 12384 solved: rounds:2,rules:3,peak:5,longest:4,steps:4,word:0,work:356,nodes:18,pairs:8,completionMax:32us [09m33s] 12384 ab:aaba=ba,abba=a infinite ba - - ab:bba=aa,aba=baa,aaa=a [09m33s] from: 12384 ab:aaba=ba,abba=a infinite to: 5201 ab:aab=bb,abab=b infinite a=b,b=a [09m33s] # 12385 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:624,nodes:22,pairs:16,completionMax:75us [09m33s] 12385 ab:aaba=ba,abba=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [09m33s] from: 12385 ab:aaba=ba,abba=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [09m33s] # 12386 solved: rounds:3,rules:6,peak:6,longest:5,steps:2,word:0,work:323,nodes:26,pairs:7,completionMax:34us [09m33s] 12386 ab:aaba=ba,abbb=a infinite ab - - ab:aaaa=aa,aaba=ba,abbb=a,baaa=ba,bbba=aaa,aabba=bba [09m33s] # 12387 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:1,work:61,nodes:12,pairs:6,completionMax:20us [09m33s] 12387 ab:aaba=ba,abbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12387 ab:aaba=ba,abbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12388 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:191,nodes:18,pairs:11,completionMax:26us [09m33s] 12388 ab:aaba=ba,baaa=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 12388 ab:aaba=ba,baaa=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 12389 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:0,work:123,nodes:16,pairs:10,completionMax:19us [09m33s] 12389 ab:aaba=ba,baaa=b infinite ab - - ab:aab=b,bab=bb,baaa=b [09m33s] from: 12389 ab:aaba=ba,baaa=b infinite to: 2069 ab:aab=b,baaa=b infinite a=a,b=b [09m33s] # 12390 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:171,nodes:16,pairs:8,completionMax:19us [09m33s] 12390 ab:aaba=ba,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 12390 ab:aaba=ba,baab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12391 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:89,nodes:16,pairs:7,completionMax:18us [09m33s] 12391 ab:aaba=ba,baab=b infinite ab - - ab:bb=b,aab=b [09m33s] from: 12391 ab:aaba=ba,baab=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [09m33s] # 12392 solved: rounds:2,rules:3,peak:6,longest:5,steps:5,word:0,work:537,nodes:22,pairs:20,completionMax:46us [09m33s] 12392 ab:aaba=ba,baba=a infinite ba - - ab:bba=aa,aba=baa,aaa=a [09m33s] from: 12392 ab:aaba=ba,baba=a infinite to: 5201 ab:aab=bb,abab=b infinite a=b,b=a [09m33s] # 12393 solved: rounds:3,rules:4,peak:5,longest:4,steps:2,word:0,work:186,nodes:16,pairs:10,completionMax:25us [09m33s] 12393 ab:aaba=ba,baba=b infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [09m33s] from: 12393 ab:aaba=ba,baba=b infinite to: 2073 ab:aab=b,baba=b infinite a=a,b=b [09m33s] # 12394 solved: rounds:3,rules:3,peak:10,longest:8,steps:7,word:6,work:1897,nodes:36,pairs:26,completionMax:101us [09m33s] 12394 ab:aaba=ba,babb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aaa=a [09m33s] from: 12394 ab:aaba=ba,babb=a infinite to: 1996 ab:aaa=a,babb=a infinite a=a,b=b [09m33s] # 12395 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:14,pairs:2,completionMax:7us [09m33s] 12395 ab:aaba=ba,babb=b infinite ab - - ab:aab=b,babb=b [09m33s] from: 12395 ab:aaba=ba,babb=b infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [09m33s] # 12396 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1359,nodes:28,pairs:24,completionMax:97us [09m33s] 12396 ab:aaba=ba,bbaa=a infinite ba - - ab:bba=aa,aba=baa,aaa=a [09m33s] from: 12396 ab:aaba=ba,bbaa=a infinite to: 5201 ab:aab=bb,abab=b infinite a=b,b=a [09m33s] # 12397 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:335,nodes:20,pairs:11,completionMax:39us [09m33s] 12397 ab:aaba=ba,bbaa=b infinite ab - - ab:bb=b,aab=b,baa=b [09m33s] from: 12397 ab:aaba=ba,bbaa=b infinite to: 2077 ab:aab=b,bbaa=b infinite a=a,b=b [09m33s] # 12398 solved: rounds:4,rules:3,peak:12,longest:7,steps:7,word:0,work:4871,nodes:40,pairs:112,completionMax:282us [09m33s] 12398 ab:aaba=ba,bbab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [09m33s] from: 12398 ab:aaba=ba,bbab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [09m33s] # 12399 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:67,nodes:16,pairs:5,completionMax:11us [09m33s] 12399 ab:aaba=ba,bbab=b infinite ab - - ab:aab=b,bbab=b [09m33s] from: 12399 ab:aaba=ba,bbab=b infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [09m33s] # 12400 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:132,nodes:16,pairs:3,completionMax:15us [09m33s] 12400 ab:aaba=ba,bbba=a infinite ab - - ab:aaa=a,aaba=ba,bbba=a,aabba=bba [09m33s] # 12401 solved: rounds:3,rules:3,peak:8,longest:5,steps:2,word:1,work:402,nodes:20,pairs:28,completionMax:64us [09m33s] 12401 ab:aaba=ba,bbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [09m33s] from: 12401 ab:aaba=ba,bbba=b infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [09m33s] # 12402 solved: rounds:1,rules:2,peak:2,longest:13,steps:3,word:9,work:230,nodes:26,pairs:3,completionMax:18us [09m33s] 12402 ab:aaba=ba,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12402 ab:aaba=ba,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 12268 ab:aaab=ab,bbbb=a finite:13;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b5,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=bbbb,b=b [09m33s] # 12403 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:165,nodes:18,pairs:3,completionMax:18us [09m33s] 12403 ab:aaba=ba,bbbb=b infinite ab - - ab:aaba=ba,bbbb=b,aabba=bba,aabbba=bbba [09m33s] # 12404 solved: rounds:3,rules:2,peak:9,longest:9,steps:3,word:4,work:897,nodes:28,pairs:30,completionMax:109us [09m33s] 12404 ab:aaba=bb,aabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12404 ab:aaba=bb,aabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12405 solved: rounds:4,rules:3,peak:7,longest:6,steps:4,word:2,work:899,nodes:22,pairs:29,completionMax:94us [09m33s] 12405 ab:aaba=bb,aabb=b infinite b/a - - ab:bbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 12405 ab:aaba=bb,aabb=b infinite to: 5066 ab:aaa=ab,bbaa=a infinite a=b,b=a [09m33s] # 12406 solved: rounds:2,rules:2,peak:8,longest:7,steps:3,word:2,work:706,nodes:28,pairs:27,completionMax:97us [09m33s] 12406 ab:aaba=bb,abaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bb [09m33s] from: 12406 ab:aaba=bb,abaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aa,b=a [09m33s] # 12407 solved: rounds:2,rules:3,peak:11,longest:4,steps:5,word:0,work:1232,nodes:24,pairs:35,completionMax:119us [09m33s] 12407 ab:aaba=bb,abaa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 12407 ab:aaba=bb,abaa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 12408 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:4,work:343,nodes:24,pairs:19,completionMax:56us [09m33s] 12408 ab:aaba=bb,abab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12408 ab:aaba=bb,abab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12409 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:249,nodes:22,pairs:15,completionMax:31us [09m33s] 12409 ab:aaba=bb,abab=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12409 ab:aaba=bb,abab=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 12410 solved: rounds:3,rules:2,peak:10,longest:9,steps:4,word:8,work:1292,nodes:32,pairs:56,completionMax:199us [09m33s] 12410 ab:aaba=bb,abba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12410 ab:aaba=bb,abba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12411 solved: rounds:4,rules:3,peak:11,longest:10,steps:4,word:7,work:2646,nodes:54,pairs:29,completionMax:149us [09m33s] 12411 ab:aaba=bb,abba=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12411 ab:aaba=bb,abba=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 12412 solved: rounds:6,rules:4,peak:13,longest:13,steps:15,word:4,work:22227,nodes:66,pairs:99,completionMax:577us [09m33s] 12412 ab:aaba=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12412 ab:aaba=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12413 solved: rounds:4,rules:3,peak:7,longest:9,steps:4,word:8,work:1152,nodes:32,pairs:27,completionMax:98us [09m33s] 12413 ab:aaba=bb,abbb=b infinite;commutative:ab:b8=b,ab=b6;saturation:a:a7=1;noncancellative:bbb,aa,bbbbbb,bb;smith:7 b/a - - ab:bbbbbbbb=b,ab=bbbbbb,ba=bbbbbb [09m33s] # 12414 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:3,work:997,nodes:30,pairs:28,completionMax:111us [09m33s] 12414 ab:aaba=bb,baaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bb [09m33s] from: 12414 ab:aaba=bb,baaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aa,b=a [09m33s] # 12415 solved: rounds:3,rules:4,peak:7,longest:11,steps:13,word:6,work:1616,nodes:60,pairs:18,completionMax:117us [09m33s] 12415 ab:aaba=bb,baaa=b infinite reversed:b/a - - ab:bbbbbbbbb=bb,bab=bbbbba,aab=bbaa,baaa=b [09m33s] # 12416 solved: rounds:2,rules:2,peak:5,longest:9,steps:12,word:8,work:716,nodes:24,pairs:16,completionMax:56us [09m33s] 12416 ab:aaba=bb,baab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12416 ab:aaba=bb,baab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12417 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:2,work:162,nodes:16,pairs:11,completionMax:44us [09m33s] 12417 ab:aaba=bb,baab=b infinite b/a - - ab:bbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 12417 ab:aaba=bb,baab=b infinite to: 5066 ab:aaa=ab,bbaa=a infinite a=b,b=a [09m33s] # 12418 solved: rounds:3,rules:2,peak:15,longest:13,steps:15,word:12,work:4327,nodes:46,pairs:32,completionMax:225us [09m33s] 12418 ab:aaba=bb,baba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12418 ab:aaba=bb,baba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12419 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:2,work:267,nodes:18,pairs:14,completionMax:38us [09m33s] 12419 ab:aaba=bb,baba=b infinite b/a - - ab:bbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 12419 ab:aaba=bb,baba=b infinite to: 5066 ab:aaa=ab,bbaa=a infinite a=b,b=a [09m33s] # 12420 solved: rounds:3,rules:4,peak:13,longest:11,steps:7,word:6,work:7166,nodes:68,pairs:90,completionMax:452us [09m33s] 12420 ab:aaba=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12420 ab:aaba=bb,babb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12421 solved: rounds:4,rules:3,peak:10,longest:10,steps:2,word:4,work:1779,nodes:32,pairs:29,completionMax:153us [09m33s] 12421 ab:aaba=bb,babb=b infinite b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=bbbb [09m33s] # 12422 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:8,work:1216,nodes:36,pairs:19,completionMax:102us [09m33s] 12422 ab:aaba=bb,bbaa=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbb [09m33s] from: 12422 ab:aaba=bb,bbaa=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbb,b=b [09m33s] # 12423 solved: rounds:3,rules:3,peak:8,longest:7,steps:3,word:2,work:776,nodes:26,pairs:23,completionMax:89us [09m33s] 12423 ab:aaba=bb,bbaa=b infinite b/a - - ab:bbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 12423 ab:aaba=bb,bbaa=b infinite to: 5066 ab:aaa=ab,bbaa=a infinite a=b,b=a [09m33s] # 12424 solved: rounds:3,rules:4,peak:5,longest:10,steps:3,word:4,work:387,nodes:32,pairs:15,completionMax:54us [09m33s] 12424 ab:aaba=bb,bbab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12424 ab:aaba=bb,bbab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12425 solved: rounds:4,rules:3,peak:13,longest:8,steps:7,word:4,work:2900,nodes:38,pairs:49,completionMax:212us [09m33s] 12425 ab:aaba=bb,bbab=b infinite b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=bbbb [09m33s] from: 12425 ab:aaba=bb,bbab=b infinite to: 12421 ab:aaba=bb,babb=b infinite a=a,b=b [09m33s] # 12426 solved: rounds:5,rules:4,peak:8,longest:15,steps:28,word:6,work:3629,nodes:62,pairs:21,completionMax:200us [09m33s] 12426 ab:aaba=bb,bbba=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaa,ab=aaaa,bb=aaaaaa [09m33s] from: 12426 ab:aaba=bb,bbba=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 12427 solved: rounds:3,rules:3,peak:8,longest:8,steps:2,word:4,work:705,nodes:30,pairs:21,completionMax:82us [09m33s] 12427 ab:aaba=bb,bbba=b infinite b/a - - ab:bbbbbbbb=b,ba=bbbbbb,aab=bbbb [09m33s] from: 12427 ab:aaba=bb,bbba=b infinite to: 12421 ab:aaba=bb,babb=b infinite a=a,b=b [09m33s] # 12428 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:6,work:127,nodes:26,pairs:3,completionMax:31us [09m33s] 12428 ab:aaba=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbb [09m33s] from: 12428 ab:aaba=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbb,b=b [09m33s] # 12429 solved: rounds:3,rules:3,peak:22,longest:21,steps:23,word:22,work:59323,nodes:106,pairs:99,completionMax:1440us [09m33s] 12429 ab:aaba=bb,bbbb=b infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaab=b,ba=aaaaaaaaaab,bb=aaaaaaaaaaaab [09m33s] # 12430 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:12,pairs:1,completionMax:4us [09m33s] 12430 ab:aabb=aa,abaa=a infinite ab - - ab:abb=a,abaa=a [09m33s] # 12431 solved: rounds:3,rules:4,peak:12,longest:6,steps:8,word:3,work:2625,nodes:28,pairs:45,completionMax:226us [09m33s] 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a/b - - ab:aaaaa=aa,baaa=b,ab=ba,bb=aaa [09m33s] # 12432 solved: rounds:3,rules:3,peak:3,longest:4,steps:3,word:0,work:113,nodes:12,pairs:6,completionMax:17us [09m33s] 12432 ab:aabb=aa,abab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 12432 ab:aabb=aa,abab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 12433 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:2,work:63,nodes:12,pairs:4,completionMax:20us [09m33s] 12433 ab:aabb=aa,abab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [09m33s] from: 12433 ab:aabb=aa,abab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 12434 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:71,nodes:12,pairs:1,completionMax:8us [09m33s] 12434 ab:aabb=aa,abba=a infinite ab - - ab:aaa=aa,aabb=aa,abba=a [09m33s] # 12435 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:3,work:364,nodes:26,pairs:12,completionMax:56us [09m33s] 12435 ab:aabb=aa,abba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [09m33s] from: 12435 ab:aabb=aa,abba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 12436 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:12,pairs:1,completionMax:5us [09m33s] 12436 ab:aabb=aa,abbb=a infinite ab - - ab:aab=aa,abbb=a [09m33s] from: 12436 ab:aabb=aa,abbb=a infinite to: 5108 ab:aab=aa,abbb=a infinite a=a,b=b [09m33s] # 12437 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:0,work:88,nodes:12,pairs:10,completionMax:18us [09m33s] 12437 ab:aabb=aa,abbb=b finite:4;idempotents:1,bb;center:1,a,b,bb;commutative:ab:ab=b,a2=b2,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ba - - ab:ba=b,ab=b,aa=bb,bbb=b [09m33s] from: 12437 ab:aabb=aa,abbb=b finite:4;idempotents:1,bb;center:1,a,b,bb;commutative:ab:ab=b,a2=b2,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 12438 solved: rounds:4,rules:3,peak:5,longest:7,steps:2,word:1,work:471,nodes:24,pairs:12,completionMax:45us [09m33s] 12438 ab:aabb=aa,baaa=a infinite a/b - - ab:aaaaa=a,ba=aaa,abb=a [09m33s] from: 12438 ab:aabb=aa,baaa=a infinite to: 2081 ab:aab=b,bbba=b infinite anti:a=b,b=a [09m33s] # 12439 solved: rounds:1,rules:5,peak:5,longest:5,steps:1,word:0,work:129,nodes:22,pairs:3,completionMax:20us [09m33s] 12439 ab:aabb=aa,baaa=b infinite ab - - ab:bbb=b,aabb=aa,baaa=b,babb=ba,aaaaa=aa [09m33s] # 12440 solved: rounds:4,rules:3,peak:5,longest:7,steps:6,word:3,work:533,nodes:30,pairs:14,completionMax:54us [09m33s] 12440 ab:aabb=aa,baab=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [09m33s] from: 12440 ab:aabb=aa,baab=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [09m33s] # 12441 solved: rounds:3,rules:5,peak:6,longest:6,steps:2,word:1,work:346,nodes:20,pairs:9,completionMax:51us [09m33s] 12441 ab:aabb=aa,baab=b finite:14;idempotents:1,aba,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,aab=aaaa,bb=baa,bab=baaa [09m33s] # 12442 solved: rounds:6,rules:4,peak:7,longest:5,steps:4,word:0,work:814,nodes:24,pairs:15,completionMax:102us [09m33s] 12442 ab:aabb=aa,baba=a infinite ab - - ab:aa=a,aba=ba,abb=a,bba=a [09m33s] # 12443 solved: rounds:3,rules:5,peak:7,longest:6,steps:4,word:2,work:585,nodes:24,pairs:16,completionMax:68us [09m33s] 12443 ab:aabb=aa,baba=b finite:14;idempotents:1,aba,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,aab=aaaa,bb=baa,bab=baaa [09m33s] from: 12443 ab:aabb=aa,baba=b finite:14;idempotents:1,aba,baa,aaaa to: 12441 ab:aabb=aa,baab=b finite:14;idempotents:1,aba,baa,aaaa a=a,b=b [09m33s] # 12444 solved: rounds:2,rules:5,peak:5,longest:4,steps:1,word:0,work:126,nodes:14,pairs:4,completionMax:14us [09m33s] 12444 ab:aabb=aa,babb=a infinite ab - - ab:baa=aa,aaba=aaa,aabb=aa,baba=aa,babb=a [09m33s] # 12445 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:14,pairs:1,completionMax:7us [09m33s] 12445 ab:aabb=aa,babb=b infinite ab - - ab:aaa=aa,aabb=aa,babb=b [09m33s] # 12446 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:638,nodes:22,pairs:11,completionMax:61us [09m33s] 12446 ab:aabb=aa,bbaa=a infinite ab - - ab:aa=a,abb=a,bba=a [09m33s] from: 12446 ab:aabb=aa,bbaa=a infinite to: 2077 ab:aab=b,bbaa=b infinite anti:a=b,b=a [09m33s] # 12447 solved: rounds:2,rules:5,peak:8,longest:6,steps:4,word:2,work:715,nodes:26,pairs:11,completionMax:47us [09m33s] 12447 ab:aabb=aa,bbaa=b finite:14;idempotents:1,aba,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,aab=aaaa,bb=baa,bab=baaa [09m33s] from: 12447 ab:aabb=aa,bbaa=b finite:14;idempotents:1,aba,baa,aaaa to: 12441 ab:aabb=aa,baab=b finite:14;idempotents:1,aba,baa,aaaa a=a,b=b [09m33s] # 12448 solved: rounds:3,rules:9,peak:11,longest:6,steps:4,word:0,work:1837,nodes:46,pairs:10,completionMax:96us [09m33s] 12448 ab:aabb=aa,bbab=a infinite ba - - ab:bbab=a,abab=bbaa,aabb=aa,aaab=aaa,abbaa=aaba,abaab=abaa,bbbbaa=aab,bbaaba=abaa,abbbaa=bbaaa [09m33s] # 12449 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:124,nodes:18,pairs:4,completionMax:16us [09m33s] 12449 ab:aabb=aa,bbab=b infinite ab - - ab:aaa=aa,aabb=aa,bbab=b,aabab=aa [09m33s] # 12450 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:44,nodes:14,pairs:2,completionMax:8us [09m33s] 12450 ab:aabb=aa,bbba=a infinite ab - - ab:aaba=aaa,aabb=aa,bbba=a [09m33s] # 12451 solved: rounds:3,rules:4,peak:8,longest:4,steps:3,word:0,work:529,nodes:18,pairs:12,completionMax:53us [09m33s] 12451 ab:aabb=aa,bbba=b finite:8;idempotents:1,aa,bb,abb ab - - ab:ba=b,aaa=aa,bbb=b,aabb=aa [09m33s] # 12452 solved: rounds:1,rules:2,peak:2,longest:10,steps:4,word:6,work:428,nodes:20,pairs:2,completionMax:13us [09m33s] 12452 ab:aabb=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 b/a - - ab:bbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] # 12453 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:38,nodes:14,pairs:2,completionMax:10us [09m33s] 12453 ab:aabb=aa,bbbb=b infinite ab - - ab:aab=aa,bbbb=b [09m33s] from: 12453 ab:aabb=aa,bbbb=b infinite to: 5125 ab:aab=aa,bbbb=b infinite a=a,b=b [09m33s] # 12454 solved: rounds:2,rules:6,peak:6,longest:4,steps:2,word:0,work:100,nodes:18,pairs:6,completionMax:17us [09m33s] 12454 ab:aabb=ab,abaa=a infinite acb ab=c frequency:2/0 abc:ab=c,cb=cc,aca=a,acc=c,caa=a,cac=c [09m33s] # 12455 solved: rounds:3,rules:3,peak:9,longest:4,steps:3,word:2,work:634,nodes:24,pairs:21,completionMax:78us [09m33s] 12455 ab:aabb=ab,abaa=b infinite b/a - - ab:bbbb=b,ab=bbb,baa=bb [09m33s] from: 12455 ab:aabb=ab,abaa=b infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=a,b=b [09m33s] # 12456 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:137,nodes:12,pairs:4,completionMax:18us [09m33s] 12456 ab:aabb=ab,abab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 12456 ab:aabb=ab,abab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 12457 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:1,completionMax:8us [09m33s] 12457 ab:aabb=ab,abba=a infinite ab - - ab:aba=aa,aabb=ab,abba=a [09m33s] # 12458 solved: rounds:2,rules:3,peak:8,longest:4,steps:5,word:0,work:424,nodes:22,pairs:15,completionMax:36us [09m33s] 12458 ab:aabb=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12458 ab:aabb=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12459 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:2,work:39,nodes:12,pairs:3,completionMax:13us [09m33s] 12459 ab:aabb=ab,abbb=a infinite a/b - - ab:aaaa=a,ab=aaa [09m33s] from: 12459 ab:aabb=ab,abbb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [09m33s] # 12460 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:20,nodes:12,pairs:4,completionMax:11us [09m33s] 12460 ab:aabb=ab,abbb=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 12460 ab:aabb=ab,abbb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 12461 solved: rounds:3,rules:3,peak:11,longest:4,steps:3,word:0,work:1184,nodes:20,pairs:46,completionMax:158us [09m33s] 12461 ab:aabb=ab,baaa=a infinite ab - - ab:aa=a,ba=a,abb=ab [09m33s] # 12462 solved: rounds:5,rules:5,peak:7,longest:5,steps:2,word:1,work:470,nodes:26,pairs:8,completionMax:52us [09m33s] 12462 ab:aabb=ab,baaa=b infinite b/a - - ab:bbbbb=bb,abbbb=ab,bab=bbbb,aab=abbb,baaa=b [09m33s] # 12463 solved: rounds:4,rules:3,peak:7,longest:4,steps:3,word:0,work:487,nodes:16,pairs:15,completionMax:67us [09m33s] 12463 ab:aabb=ab,baba=a infinite ab - - ab:aa=a,ba=a,abb=ab [09m33s] from: 12463 ab:aabb=ab,baba=a infinite to: 12461 ab:aabb=ab,baaa=a infinite a=a,b=b [09m33s] # 12464 solved: rounds:4,rules:3,peak:8,longest:5,steps:3,word:2,work:717,nodes:22,pairs:11,completionMax:74us [09m33s] 12464 ab:aabb=ab,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [09m33s] from: 12464 ab:aabb=ab,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [09m33s] # 12465 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12465 ab:aabb=ab,babb=b infinite ab - - ab:aabb=ab,babb=b [09m33s] # 12466 solved: rounds:3,rules:4,peak:8,longest:4,steps:4,word:0,work:862,nodes:20,pairs:30,completionMax:97us [09m33s] 12466 ab:aabb=ab,bbaa=a infinite ab - - ab:aa=a,aba=a,abb=ab,bba=a [09m33s] # 12467 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:118,nodes:20,pairs:2,completionMax:18us [09m33s] 12467 ab:aabb=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12467 ab:aabb=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12468 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:30,nodes:14,pairs:1,completionMax:7us [09m33s] 12468 ab:aabb=ab,bbbb=b infinite b/a - - ab:bbbb=b,aab=abbb [09m33s] # 12469 solved: rounds:4,rules:3,peak:9,longest:5,steps:4,word:0,work:1126,nodes:26,pairs:30,completionMax:95us [09m33s] 12469 ab:aabb=ba,abaa=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 12469 ab:aabb=ba,abaa=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 12470 solved: rounds:3,rules:3,peak:13,longest:8,steps:4,word:2,work:3184,nodes:36,pairs:73,completionMax:294us [09m33s] 12470 ab:aabb=ba,abaa=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 b/a - - ab:bbbb=b,ab=bbb,ba=bbb [09m33s] from: 12470 ab:aabb=ba,abaa=b infinite;commutative:ab:b4=b,ab=b3;saturation:a:a3=1;noncancellative:bb,a,bbb,bb;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=b,b=a [09m33s] # 12471 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:0,work:203,nodes:12,pairs:17,completionMax:31us [09m33s] 12471 ab:aabb=ba,abab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12471 ab:aabb=ba,abab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12472 solved: rounds:4,rules:3,peak:7,longest:5,steps:3,word:0,work:577,nodes:22,pairs:21,completionMax:53us [09m33s] 12472 ab:aabb=ba,abba=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 12472 ab:aabb=ba,abba=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 12473 solved: rounds:3,rules:3,peak:13,longest:4,steps:12,word:0,work:2420,nodes:24,pairs:104,completionMax:200us [09m33s] 12473 ab:aabb=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12473 ab:aabb=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12474 solved: rounds:4,rules:8,peak:8,longest:8,steps:4,word:4,work:1133,nodes:40,pairs:15,completionMax:74us [09m33s] 12474 ab:aabb=ba,abbb=a infinite reversed:a/b - - ab:aaaaaaaa=aa,aaaaaaba=ba,baaa=aaab,aabb=ba,bab=aa,baab=aabaa,bba=aaaabaa,abbb=a [09m33s] from: 12474 ab:aabb=ba,abbb=a infinite to: 5277 ab:aba=bb,aaab=b infinite anti:a=b,b=a [09m33s] # 12475 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:175,nodes:16,pairs:10,completionMax:21us [09m33s] 12475 ab:aabb=ba,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12475 ab:aabb=ba,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12476 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:448,nodes:16,pairs:20,completionMax:34us [09m33s] 12476 ab:aabb=ba,baaa=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 12476 ab:aabb=ba,baaa=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 12477 solved: rounds:4,rules:6,peak:11,longest:8,steps:5,word:4,work:2992,nodes:42,pairs:37,completionMax:224us [09m33s] 12477 ab:aabb=ba,baaa=b infinite reversed:b/a - - ab:bbbbbbb=b,babbb=bbbba,baa=bbbbbab,baba=bbb,babba=bbbabb,aab=bbbbabb [09m33s] # 12478 solved: rounds:3,rules:3,peak:10,longest:5,steps:3,word:0,work:816,nodes:22,pairs:33,completionMax:91us [09m33s] 12478 ab:aabb=ba,baba=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 12478 ab:aabb=ba,baba=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 12479 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:2,work:369,nodes:18,pairs:14,completionMax:57us [09m33s] 12479 ab:aabb=ba,babb=a infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [09m33s] from: 12479 ab:aabb=ba,babb=a infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [09m33s] # 12480 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:399,nodes:16,pairs:14,completionMax:45us [09m33s] 12480 ab:aabb=ba,babb=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 12480 ab:aabb=ba,babb=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 12481 solved: rounds:3,rules:3,peak:11,longest:5,steps:6,word:0,work:1279,nodes:28,pairs:27,completionMax:100us [09m33s] 12481 ab:aabb=ba,bbaa=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 12481 ab:aabb=ba,bbaa=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 12482 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:120,nodes:20,pairs:2,completionMax:16us [09m33s] 12482 ab:aabb=ba,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12482 ab:aabb=ba,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12483 solved: rounds:5,rules:7,peak:7,longest:9,steps:11,word:1,work:2816,nodes:40,pairs:11,completionMax:109us [09m33s] 12483 ab:aabb=ba,bbbb=b infinite reversed:b/a - - ab:bbbb=b,babbb=ba,baa=bbab,aab=babb,babab=bbaba,babbaba=bbabbabb,babbabbab=bbabbabba [09m33s] # 12484 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:1,work:88,nodes:16,pairs:5,completionMax:20us [09m33s] 12484 ab:aabb=bb,abbb=a infinite b/a - - ab:bbbbb=bb,abbb=a,bbba=a,aa=bbb [09m33s] # 12485 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:3,completionMax:11us [09m33s] 12485 ab:aabb=bb,abbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12485 ab:aabb=bb,abbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12486 solved: rounds:3,rules:4,peak:7,longest:5,steps:8,word:1,work:578,nodes:18,pairs:12,completionMax:47us [09m33s] 12486 ab:aabb=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12486 ab:aabb=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12487 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 12487 ab:aabb=bb,babb=b infinite ab - - ab:aabb=bb,babb=b [09m33s] # 12488 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:56,nodes:20,pairs:2,completionMax:12us [09m33s] 12488 ab:aabb=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbb [09m33s] from: 12488 ab:aabb=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaa,b=a [09m33s] # 12489 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:27,nodes:14,pairs:1,completionMax:6us [09m33s] 12489 ab:aabb=bb,bbbb=b infinite ab - - ab:aab=b,bbbb=b [09m33s] from: 12489 ab:aabb=bb,bbbb=b infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [09m33s] # 12490 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:144,nodes:16,pairs:3,completionMax:16us [09m33s] 12490 ab:abaa=aa,baaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12490 ab:abaa=aa,baaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12491 solved: rounds:3,rules:3,peak:7,longest:4,steps:2,word:2,work:425,nodes:20,pairs:28,completionMax:51us [09m33s] 12491 ab:abaa=aa,baaa=b finite:8;idempotents:1,ab,bbb b/a - - ab:bbbb=b,ba=bbb,aa=abb [09m33s] from: 12491 ab:abaa=aa,baaa=b finite:8;idempotents:1,ab,bbb to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa anti:a=b,b=a [09m33s] # 12492 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:1124,nodes:20,pairs:14,completionMax:105us [09m33s] 12492 ab:abaa=ab,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 12492 ab:abaa=ab,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12493 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:87,nodes:18,pairs:8,completionMax:31us [09m33s] 12493 ab:abaa=ab,baaa=b infinite ab - - ab:aba=ab,bba=bb,baaa=b [09m33s] from: 12493 ab:abaa=ab,baaa=b infinite to: 5259 ab:aba=ab,baaa=b infinite a=a,b=b [09m33s] # 12494 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:526,nodes:20,pairs:26,completionMax:82us [09m33s] 12494 ab:abaa=ba,baaa=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 12494 ab:abaa=ba,baaa=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 12495 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:1,work:61,nodes:14,pairs:3,completionMax:10us [09m33s] 12495 ab:abaa=ba,baaa=b infinite a/b - - ab:baaa=b,ab=baa [09m33s] from: 12495 ab:abaa=ba,baaa=b infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [09m33s] # 12496 solved: rounds:2,rules:2,peak:7,longest:7,steps:3,word:2,work:630,nodes:26,pairs:15,completionMax:56us [09m33s] 12496 ab:abaa=bb,baaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bb [09m33s] from: 12496 ab:abaa=bb,baaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aa,b=a [09m33s] # 12497 solved: rounds:2,rules:3,peak:4,longest:11,steps:10,word:7,work:468,nodes:40,pairs:8,completionMax:50us [09m33s] 12497 ab:abaa=bb,baaa=b infinite reversed:b/a - - ab:bbbbbbbbb=bb,ab=bba,baaa=b [09m33s] from: 12497 ab:abaa=bb,baaa=b infinite to: 5172 ab:aab=ba,abbb=a infinite a=b,b=a [09m33s] # 12498 solved: rounds:2,rules:4,peak:7,longest:4,steps:5,word:0,work:693,nodes:14,pairs:9,completionMax:38us [09m33s] 12498 ab:abab=aa,abba=a infinite ab - - ab:aaa=aa,aba=aab,aabb=aa,abba=a [09m33s] # 12499 solved: rounds:3,rules:3,peak:15,longest:8,steps:7,word:5,work:3642,nodes:46,pairs:32,completionMax:219us [09m33s] 12499 ab:abab=aa,abba=b finite:14;idempotents:1,bbbbbb;center:1,bbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=abbbbb,aa=bbb [09m33s] # 12500 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:178,nodes:16,pairs:2,completionMax:20us [09m33s] 12500 ab:abab=aa,abbb=a infinite b/a - - ab:abbb=a,aba=aabb,aabba=aaab [09m33s] # 12501 solved: rounds:5,rules:4,peak:5,longest:4,steps:3,word:0,work:121,nodes:16,pairs:10,completionMax:33us [09m33s] 12501 ab:abab=aa,abbb=b finite:4;idempotents:1,bb;center:1,a,b,bb;commutative:ab:ab=b,a2=b2,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ba - - ab:ba=b,ab=b,aa=bb,bbb=b [09m33s] from: 12501 ab:abab=aa,abbb=b finite:4;idempotents:1,bb;center:1,a,b,bb;commutative:ab:ab=b,a2=b2,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 12502 solved: rounds:4,rules:3,peak:6,longest:6,steps:3,word:2,work:507,nodes:22,pairs:15,completionMax:68us [09m33s] 12502 ab:abab=aa,baaa=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a/b - - ab:aaaaa=a,ba=aaa,ab=aaa [09m33s] from: 12502 ab:abab=aa,baaa=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [09m33s] # 12503 solved: rounds:3,rules:6,peak:9,longest:5,steps:4,word:1,work:1250,nodes:28,pairs:24,completionMax:102us [09m33s] 12503 ab:abab=aa,baaa=b finite:14;idempotents:1,bb,aaa a/b - - ab:aaaaa=aa,baaa=b,aab=aba,bab=bba,abb=aaaa,bbb=b [09m33s] # 12504 solved: rounds:3,rules:3,peak:12,longest:4,steps:4,word:0,work:1358,nodes:20,pairs:33,completionMax:126us [09m33s] 12504 ab:abab=aa,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 12504 ab:abab=aa,baab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 12505 solved: rounds:4,rules:4,peak:7,longest:7,steps:2,word:1,work:894,nodes:32,pairs:15,completionMax:73us [09m33s] 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,ab=aaa,bb=baa [09m33s] # 12506 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:481,nodes:16,pairs:21,completionMax:61us [09m33s] 12506 ab:abab=aa,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 12506 ab:abab=aa,baba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 12507 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:2,work:292,nodes:28,pairs:8,completionMax:48us [09m33s] 12507 ab:abab=aa,baba=b finite:10;idempotents:1,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,ab=aaa,bb=baa [09m33s] from: 12507 ab:abab=aa,baba=b finite:10;idempotents:1,baa,aaaa to: 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 12508 solved: rounds:2,rules:5,peak:6,longest:4,steps:2,word:0,work:182,nodes:16,pairs:8,completionMax:20us [09m33s] 12508 ab:abab=aa,babb=a infinite ab - - ab:aab=aa,baa=aa,abab=aa,baba=aa,babb=a [09m33s] # 12509 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:1,work:555,nodes:20,pairs:22,completionMax:82us [09m33s] 12509 ab:abab=aa,babb=b finite:6;idempotents:1,bb,abb b/a - - ab:bbb=b,ba=b,aa=abb [09m33s] from: 12509 ab:abab=aa,babb=b finite:6;idempotents:1,bb,abb to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=b,b=a [09m33s] # 12510 solved: rounds:6,rules:4,peak:11,longest:5,steps:5,word:0,work:2470,nodes:22,pairs:25,completionMax:152us [09m33s] 12510 ab:abab=aa,bbaa=a infinite ab - - ab:aa=a,aba=ab,abb=a,bba=a [09m33s] from: 12510 ab:abab=aa,bbaa=a infinite to: 5266 ab:aba=ab,bbaa=a infinite a=a,b=b [09m33s] # 12511 solved: rounds:4,rules:4,peak:11,longest:7,steps:2,word:1,work:1736,nodes:36,pairs:27,completionMax:124us [09m33s] 12511 ab:abab=aa,bbaa=b finite:10;idempotents:1,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,ab=aaa,bb=baa [09m33s] from: 12511 ab:abab=aa,bbaa=b finite:10;idempotents:1,baa,aaaa to: 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 12512 solved: rounds:1,rules:5,peak:6,longest:4,steps:2,word:0,work:186,nodes:18,pairs:4,completionMax:23us [09m33s] 12512 ab:abab=aa,bbab=a infinite ab - - ab:aab=aa,abaa=aaa,abab=aa,bbaa=aa,bbab=a [09m33s] # 12513 solved: rounds:4,rules:3,peak:10,longest:5,steps:3,word:1,work:1358,nodes:24,pairs:21,completionMax:92us [09m33s] 12513 ab:abab=aa,bbab=b finite:6;idempotents:1,bb,abb b/a - - ab:bbb=b,ba=b,aa=abb [09m33s] from: 12513 ab:abab=aa,bbab=b finite:6;idempotents:1,bb,abb to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=b,b=a [09m33s] # 12514 solved: rounds:2,rules:5,peak:5,longest:6,steps:4,word:0,work:346,nodes:26,pairs:8,completionMax:31us [09m33s] 12514 ab:abab=aa,bbba=a infinite ab - - ab:abaa=aaab,abab=aa,bbba=a,aabba=aaab,aaaabb=aaaba [09m33s] # 12515 solved: rounds:3,rules:3,peak:13,longest:7,steps:9,word:2,work:2737,nodes:34,pairs:101,completionMax:562us [09m33s] 12515 ab:abab=aa,bbba=b finite:6;idempotents:1,bb,abb b/a - - ab:bbb=b,ba=b,aa=abb [09m33s] from: 12515 ab:abab=aa,bbba=b finite:6;idempotents:1,bb,abb to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=b,b=a [09m33s] # 12516 solved: rounds:1,rules:2,peak:2,longest:10,steps:4,word:9,work:461,nodes:20,pairs:2,completionMax:23us [09m33s] 12516 ab:abab=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 b/a - - ab:bbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] from: 12516 ab:abab=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 to: 12452 ab:aabb=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 a=bbbb,b=b [09m33s] # 12517 solved: rounds:2,rules:7,peak:7,longest:7,steps:5,word:0,work:941,nodes:32,pairs:5,completionMax:59us [09m33s] 12517 ab:abab=aa,bbbb=b infinite ab - - ab:abaa=aaab,abab=aa,bbbb=b,aabbb=aa,aaaabb=aaaba,aaabbaa=aaaaba,aaabbab=aaaba [09m33s] # 12518 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:60,nodes:10,pairs:1,completionMax:10us [09m33s] 12518 ab:abab=ab,abba=a infinite ab - - ab:aba=a,abba=a [09m33s] from: 12518 ab:abab=ab,abba=a infinite to: 2094 ab:aba=a,abba=a infinite a=a,b=b [09m33s] # 12519 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:274,nodes:18,pairs:15,completionMax:50us [09m33s] 12519 ab:abab=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12519 ab:abab=ab,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12520 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:37,nodes:10,pairs:1,completionMax:7us [09m33s] 12520 ab:abab=ab,abbb=a infinite ab - - ab:aba=a,abbb=a [09m33s] from: 12520 ab:abab=ab,abbb=a infinite to: 2096 ab:aba=a,abbb=a infinite a=a,b=b [09m33s] # 12521 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:51,nodes:10,pairs:4,completionMax:11us [09m33s] 12521 ab:abab=ab,abbb=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 12521 ab:abab=ab,abbb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 12522 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:213,nodes:16,pairs:4,completionMax:27us [09m33s] 12522 ab:abab=ab,baaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12522 ab:abab=ab,baaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12523 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:56,nodes:18,pairs:1,completionMax:18us [09m33s] 12523 ab:abab=ab,baaa=b infinite ab - - ab:abab=ab,baaa=b,bbab=bb [09m33s] # 12524 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:343,nodes:16,pairs:11,completionMax:33us [09m33s] 12524 ab:abab=ab,baba=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12524 ab:abab=ab,baba=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12525 solved: rounds:3,rules:3,peak:8,longest:4,steps:2,word:1,work:491,nodes:18,pairs:18,completionMax:52us [09m33s] 12525 ab:abab=ab,babb=a infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [09m33s] from: 12525 ab:abab=ab,babb=a infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [09m33s] # 12526 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:94,nodes:14,pairs:4,completionMax:14us [09m33s] 12526 ab:abab=ab,babb=b infinite ab - - ab:bb=b,bab=b [09m33s] from: 12526 ab:abab=ab,babb=b infinite to: 239 ab:aa=a,aba=a infinite a=b,b=a [09m33s] # 12527 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:55,nodes:14,pairs:1,completionMax:5us [09m33s] 12527 ab:abab=ab,bbaa=a infinite ab - - ab:abaa=aa,abab=ab,bbaa=a [09m33s] # 12528 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:1,work:401,nodes:18,pairs:10,completionMax:44us [09m33s] 12528 ab:abab=ab,bbab=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [09m33s] from: 12528 ab:abab=ab,bbab=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [09m33s] # 12529 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:77,nodes:16,pairs:2,completionMax:13us [09m33s] 12529 ab:abab=ab,bbab=b infinite ab - - ab:bb=b,bab=b [09m33s] from: 12529 ab:abab=ab,bbab=b infinite to: 239 ab:aa=a,aba=a infinite a=b,b=a [09m33s] # 12530 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:6,work:133,nodes:20,pairs:2,completionMax:14us [09m33s] 12530 ab:abab=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12530 ab:abab=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12531 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:25,nodes:14,pairs:0,completionMax:4us [09m33s] 12531 ab:abab=ab,bbbb=b infinite ab - - ab:abab=ab,bbbb=b [09m33s] # 12532 solved: rounds:2,rules:3,peak:10,longest:5,steps:5,word:0,work:721,nodes:22,pairs:20,completionMax:84us [09m33s] 12532 ab:abab=ba,abba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12532 ab:abab=ba,abba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12533 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:0,work:1454,nodes:28,pairs:30,completionMax:108us [09m33s] 12533 ab:abab=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12533 ab:abab=ba,abba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12534 solved: rounds:4,rules:7,peak:9,longest:7,steps:9,word:4,work:3085,nodes:40,pairs:23,completionMax:168us [09m33s] 12534 ab:abab=ba,abbb=a infinite b/a - - ab:abbb=a,bbbba=ba,aba=babb,baa=abbabb,bbabba=aab,aabba=babbab,aaaa=bbba [09m33s] # 12535 solved: rounds:3,rules:3,peak:8,longest:4,steps:7,word:0,work:751,nodes:20,pairs:16,completionMax:77us [09m33s] 12535 ab:abab=ba,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12535 ab:abab=ba,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12536 solved: rounds:2,rules:3,peak:9,longest:5,steps:5,word:0,work:646,nodes:18,pairs:17,completionMax:47us [09m33s] 12536 ab:abab=ba,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12536 ab:abab=ba,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12537 solved: rounds:6,rules:7,peak:11,longest:8,steps:9,word:4,work:5283,nodes:50,pairs:28,completionMax:406us [09m33s] 12537 ab:abab=ba,baaa=b infinite a/b - - ab:baaa=b,aaab=b,bab=aaba,abb=baabaa,aabaab=bba,bbaab=abaa,bbbb=b [09m33s] # 12538 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:469,nodes:18,pairs:24,completionMax:47us [09m33s] 12538 ab:abab=ba,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12538 ab:abab=ba,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12539 solved: rounds:2,rules:3,peak:8,longest:4,steps:4,word:2,work:779,nodes:20,pairs:26,completionMax:83us [09m33s] 12539 ab:abab=ba,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [09m33s] from: 12539 ab:abab=ba,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [09m33s] # 12540 solved: rounds:2,rules:3,peak:7,longest:4,steps:7,word:0,work:535,nodes:16,pairs:15,completionMax:52us [09m33s] 12540 ab:abab=ba,babb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12540 ab:abab=ba,babb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12541 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:1275,nodes:28,pairs:71,completionMax:161us [09m33s] 12541 ab:abab=ba,bbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12541 ab:abab=ba,bbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12542 solved: rounds:2,rules:3,peak:13,longest:6,steps:5,word:2,work:1966,nodes:30,pairs:28,completionMax:167us [09m33s] 12542 ab:abab=ba,bbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [09m33s] from: 12542 ab:abab=ba,bbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [09m33s] # 12543 solved: rounds:2,rules:3,peak:6,longest:4,steps:5,word:0,work:453,nodes:18,pairs:21,completionMax:50us [09m33s] 12543 ab:abab=ba,bbab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12543 ab:abab=ba,bbab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12544 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:6,work:137,nodes:20,pairs:2,completionMax:14us [09m33s] 12544 ab:abab=ba,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12544 ab:abab=ba,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12545 solved: rounds:4,rules:7,peak:11,longest:8,steps:15,word:6,work:9988,nodes:62,pairs:35,completionMax:262us [09m33s] 12545 ab:abab=ba,bbbb=b infinite b/a - - ab:bbbb=b,babbb=ba,aba=babb,baa=abbabb,bbabba=abbbab,aabba=babbab,aaabbba=bbba [09m33s] # 12546 solved: rounds:3,rules:4,peak:7,longest:5,steps:4,word:1,work:598,nodes:22,pairs:21,completionMax:55us [09m33s] 12546 ab:abab=bb,abbb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12546 ab:abab=bb,abbb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12547 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:160,nodes:18,pairs:9,completionMax:30us [09m33s] 12547 ab:abab=bb,abbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12547 ab:abab=bb,abbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12548 solved: rounds:2,rules:4,peak:6,longest:5,steps:5,word:7,work:706,nodes:18,pairs:23,completionMax:83us [09m33s] 12548 ab:abab=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12548 ab:abab=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12549 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:65,nodes:14,pairs:5,completionMax:12us [09m33s] 12549 ab:abab=bb,babb=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12549 ab:abab=bb,babb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12550 solved: rounds:2,rules:4,peak:9,longest:5,steps:4,word:1,work:602,nodes:22,pairs:22,completionMax:65us [09m33s] 12550 ab:abab=bb,bbab=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12550 ab:abab=bb,bbab=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12551 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:213,nodes:18,pairs:10,completionMax:30us [09m33s] 12551 ab:abab=bb,bbab=b infinite b/a - - ab:bbbbb=b,ab=bbb [09m33s] from: 12551 ab:abab=bb,bbab=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [09m33s] # 12552 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:61,nodes:20,pairs:2,completionMax:10us [09m33s] 12552 ab:abab=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbb [09m33s] from: 12552 ab:abab=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaa,b=a [09m33s] # 12553 solved: rounds:4,rules:3,peak:9,longest:7,steps:6,word:0,work:1837,nodes:38,pairs:25,completionMax:100us [09m33s] 12553 ab:abab=bb,bbbb=b infinite ab - - ab:aab=b,bab=abb,bbbb=b [09m33s] # 12554 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:2us [09m33s] 12554 ab:abba=aa,abbb=a infinite ab - - ab:abba=aa,abbb=a [09m33s] # 12555 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:1,work:57,nodes:8,pairs:4,completionMax:8us [09m33s] 12555 ab:abba=aa,abbb=b finite:6;idempotents:1,bb,bba b/a - - ab:bbb=b,ab=b,aa=bba [09m33s] from: 12555 ab:abba=aa,abbb=b finite:6;idempotents:1,bb,bba to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa anti:a=b,b=a [09m33s] # 12556 solved: rounds:4,rules:2,peak:6,longest:6,steps:2,word:1,work:380,nodes:22,pairs:8,completionMax:37us [09m33s] 12556 ab:abba=aa,baaa=a infinite a/b - - ab:aaaaa=a,ba=aaa [09m33s] from: 12556 ab:abba=aa,baaa=a infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=a,b=b [09m33s] # 12557 solved: rounds:3,rules:5,peak:6,longest:6,steps:2,word:1,work:351,nodes:24,pairs:10,completionMax:36us [09m33s] 12557 ab:abba=aa,baaa=b infinite a/b - - ab:aaaaa=aa,baaa=b,aaaab=ab,abb=aaaa,bbb=b [09m33s] # 12558 solved: rounds:4,rules:3,peak:10,longest:8,steps:5,word:2,work:2087,nodes:42,pairs:31,completionMax:113us [09m33s] 12558 ab:abba=aa,baab=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [09m33s] from: 12558 ab:abba=aa,baab=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [09m33s] # 12559 solved: rounds:4,rules:8,peak:8,longest:8,steps:5,word:6,work:810,nodes:30,pairs:14,completionMax:73us [09m33s] 12559 ab:abba=aa,baab=b infinite a/b - - ab:abaaa=aa,aaba=abaa,bba=baaa,babaa=ba,baab=b,baaaab=bb,abb=aaab,bbb=baaaaaab [09m33s] # 12560 solved: rounds:4,rules:3,peak:5,longest:4,steps:3,word:0,work:313,nodes:18,pairs:11,completionMax:29us [09m33s] 12560 ab:abba=aa,baba=a infinite ab - - ab:aa=a,aba=ba,bba=a [09m33s] from: 12560 ab:abba=aa,baba=a infinite to: 888 ab:aa=a,abab=a infinite anti:a=a,b=b [09m33s] # 12561 solved: rounds:3,rules:4,peak:8,longest:6,steps:9,word:2,work:1195,nodes:24,pairs:30,completionMax:121us [09m33s] 12561 ab:abba=aa,baba=b finite:10;idempotents:1,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,ab=aaa,bb=baa [09m33s] from: 12561 ab:abba=aa,baba=b finite:10;idempotents:1,baa,aaaa to: 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 12562 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:161,nodes:18,pairs:3,completionMax:19us [09m33s] 12562 ab:abba=aa,babb=a infinite ab - - ab:baa=aa,aabb=aba,abba=aa,baba=aba,babb=a [09m33s] # 12563 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:196,nodes:18,pairs:5,completionMax:21us [09m33s] 12563 ab:abba=aa,babb=b infinite ab - - ab:aaa=aa,baa=ba,aabb=abb,abba=aa,babb=b [09m33s] # 12564 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:129,nodes:16,pairs:3,completionMax:21us [09m33s] 12564 ab:abba=aa,bbaa=a infinite ab - - ab:aa=a,bba=a [09m33s] from: 12564 ab:abba=aa,bbaa=a infinite to: 241 ab:aa=a,abb=a infinite anti:a=a,b=b [09m33s] # 12565 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:2,work:248,nodes:20,pairs:11,completionMax:55us [09m33s] 12565 ab:abba=aa,bbaa=b finite:10;idempotents:1,baa,aaaa a/b - - ab:aaaaaa=aa,baaaa=b,ab=aaa,bb=baa [09m33s] from: 12565 ab:abba=aa,bbaa=b finite:10;idempotents:1,baa,aaaa to: 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 12566 solved: rounds:1,rules:2,peak:2,longest:10,steps:4,word:9,work:466,nodes:20,pairs:2,completionMax:20us [09m33s] 12566 ab:abba=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 b/a - - ab:bbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] from: 12566 ab:abba=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 to: 12452 ab:aabb=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 a=bbbb,b=b [09m33s] # 12567 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [09m33s] 12567 ab:abba=aa,bbbb=b infinite ab - - ab:abba=aa,bbbb=b [09m33s] # 12568 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:2,work:64,nodes:10,pairs:4,completionMax:15us [09m33s] 12568 ab:abba=ab,abbb=a infinite a/b - - ab:aaaa=a,ab=aaa [09m33s] from: 12568 ab:abba=ab,abbb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [09m33s] # 12569 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:113,nodes:10,pairs:6,completionMax:21us [09m33s] 12569 ab:abba=ab,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12569 ab:abba=ab,abbb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12570 solved: rounds:3,rules:3,peak:7,longest:5,steps:10,word:0,work:958,nodes:20,pairs:11,completionMax:44us [09m33s] 12570 ab:abba=ab,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12570 ab:abba=ab,baaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12571 solved: rounds:3,rules:5,peak:7,longest:5,steps:3,word:1,work:468,nodes:22,pairs:15,completionMax:36us [09m33s] 12571 ab:abba=ab,baaa=b infinite b/a - - ab:bbbbb=bb,abbbb=ab,bba=bbbb,aba=abbb,baaa=b [09m33s] # 12572 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:231,nodes:14,pairs:9,completionMax:21us [09m33s] 12572 ab:abba=ab,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12572 ab:abba=ab,baab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12573 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:323,nodes:18,pairs:13,completionMax:31us [09m33s] 12573 ab:abba=ab,baab=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12573 ab:abba=ab,baab=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12574 solved: rounds:3,rules:3,peak:7,longest:5,steps:11,word:0,work:729,nodes:16,pairs:21,completionMax:43us [09m33s] 12574 ab:abba=ab,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12574 ab:abba=ab,baba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12575 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:367,nodes:16,pairs:16,completionMax:51us [09m33s] 12575 ab:abba=ab,baba=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12575 ab:abba=ab,baba=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12576 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:2,work:433,nodes:18,pairs:25,completionMax:65us [09m33s] 12576 ab:abba=ab,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [09m33s] from: 12576 ab:abba=ab,babb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [09m33s] # 12577 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:255,nodes:14,pairs:16,completionMax:33us [09m33s] 12577 ab:abba=ab,babb=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12577 ab:abba=ab,babb=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12578 solved: rounds:4,rules:3,peak:6,longest:5,steps:10,word:0,work:594,nodes:18,pairs:10,completionMax:48us [09m33s] 12578 ab:abba=ab,bbaa=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 12578 ab:abba=ab,bbaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 12579 solved: rounds:4,rules:2,peak:7,longest:4,steps:3,word:0,work:375,nodes:16,pairs:11,completionMax:41us [09m33s] 12579 ab:abba=ab,bbaa=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12579 ab:abba=ab,bbaa=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12580 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:2,work:388,nodes:16,pairs:15,completionMax:35us [09m33s] 12580 ab:abba=ab,bbab=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [09m33s] from: 12580 ab:abba=ab,bbab=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [09m33s] # 12581 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:213,nodes:14,pairs:8,completionMax:22us [09m33s] 12581 ab:abba=ab,bbab=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12581 ab:abba=ab,bbab=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12582 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:2,work:129,nodes:18,pairs:5,completionMax:20us [09m33s] 12582 ab:abba=ab,bbba=a infinite a/b - - ab:aaaaa=aa,ab=aaa,bbba=a [09m33s] # 12583 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:14,pairs:6,completionMax:15us [09m33s] 12583 ab:abba=ab,bbba=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 12583 ab:abba=ab,bbba=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 12584 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:6,work:137,nodes:20,pairs:2,completionMax:14us [09m33s] 12584 ab:abba=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12584 ab:abba=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12585 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:1,work:132,nodes:16,pairs:3,completionMax:14us [09m33s] 12585 ab:abba=ab,bbbb=b infinite b/a - - ab:bbbb=b,aba=abbb,abba=ab,abbba=abb [09m33s] # 12586 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:375,nodes:16,pairs:13,completionMax:39us [09m33s] 12586 ab:abba=ba,baaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12586 ab:abba=ba,baaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12587 solved: rounds:5,rules:3,peak:8,longest:6,steps:2,word:1,work:794,nodes:22,pairs:22,completionMax:80us [09m33s] 12587 ab:abba=ba,baaa=b infinite b/a - - ab:bbbb=b,ab=bbb,baaa=b [09m33s] from: 12587 ab:abba=ba,baaa=b infinite to: 2048 ab:aab=a,bbba=a infinite anti:a=b,b=a [09m33s] # 12588 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:178,nodes:16,pairs:13,completionMax:42us [09m33s] 12588 ab:abba=ba,baba=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12588 ab:abba=ba,baba=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12589 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:268,nodes:16,pairs:17,completionMax:31us [09m33s] 12589 ab:abba=ba,baba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 12589 ab:abba=ba,baba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 12590 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:496,nodes:20,pairs:16,completionMax:37us [09m33s] 12590 ab:abba=ba,bbaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 12590 ab:abba=ba,bbaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 12591 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:557,nodes:20,pairs:27,completionMax:45us [09m33s] 12591 ab:abba=ba,bbaa=b infinite ab - - ab:ab=b,bb=b,baa=b [09m33s] # 12592 solved: rounds:2,rules:4,peak:8,longest:5,steps:4,word:1,work:540,nodes:18,pairs:10,completionMax:62us [09m33s] 12592 ab:abba=bb,abbb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12592 ab:abba=bb,abbb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12593 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:1,work:200,nodes:16,pairs:9,completionMax:25us [09m33s] 12593 ab:abba=bb,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12593 ab:abba=bb,abbb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12594 solved: rounds:4,rules:4,peak:14,longest:5,steps:7,word:0,work:2200,nodes:32,pairs:26,completionMax:110us [09m33s] 12594 ab:abba=bb,baaa=a finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [09m33s] from: 12594 ab:abba=bb,baaa=a finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 12595 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:3,work:100,nodes:14,pairs:3,completionMax:14us [09m33s] 12595 ab:abba=bb,baaa=b infinite a/b - - ab:baaa=b,abb=bbaa [09m33s] # 12596 solved: rounds:3,rules:2,peak:14,longest:8,steps:6,word:6,work:4258,nodes:38,pairs:34,completionMax:188us [09m33s] 12596 ab:abba=bb,baab=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbbb=bb,a=bb [09m33s] from: 12596 ab:abba=bb,baab=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [09m33s] # 12597 solved: rounds:2,rules:5,peak:9,longest:5,steps:5,word:0,work:1121,nodes:28,pairs:20,completionMax:74us [09m33s] 12597 ab:abba=bb,baab=b infinite ab - - ab:bba=abb,bbb=bb,aabb=bb,baab=b,babb=abb [09m33s] # 12598 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:5,work:1185,nodes:26,pairs:29,completionMax:113us [09m33s] 12598 ab:abba=bb,baba=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbbb=bb,a=bb [09m33s] from: 12598 ab:abba=bb,baba=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [09m33s] # 12599 solved: rounds:5,rules:3,peak:8,longest:4,steps:4,word:0,work:1129,nodes:22,pairs:36,completionMax:77us [09m33s] 12599 ab:abba=bb,baba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12599 ab:abba=bb,baba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12600 solved: rounds:3,rules:4,peak:9,longest:6,steps:4,word:1,work:854,nodes:22,pairs:20,completionMax:75us [09m33s] 12600 ab:abba=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12600 ab:abba=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12601 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:141,nodes:14,pairs:12,completionMax:36us [09m33s] 12601 ab:abba=bb,babb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [09m33s] from: 12601 ab:abba=bb,babb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 12602 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:346,nodes:22,pairs:13,completionMax:40us [09m33s] 12602 ab:abba=bb,bbaa=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbbb=bb,a=bb [09m33s] from: 12602 ab:abba=bb,bbaa=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [09m33s] # 12603 solved: rounds:4,rules:3,peak:8,longest:4,steps:3,word:0,work:809,nodes:18,pairs:29,completionMax:88us [09m33s] 12603 ab:abba=bb,bbaa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 12603 ab:abba=bb,bbaa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 12604 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:64,nodes:20,pairs:2,completionMax:14us [09m33s] 12604 ab:abba=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbb [09m33s] from: 12604 ab:abba=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaa,b=a [09m33s] # 12605 solved: rounds:3,rules:3,peak:4,longest:4,steps:4,word:0,work:109,nodes:14,pairs:3,completionMax:21us [09m33s] 12605 ab:abba=bb,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [09m33s] from: 12605 ab:abba=bb,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [09m33s] # 12606 solved: rounds:1,rules:2,peak:2,longest:8,steps:7,word:6,work:479,nodes:16,pairs:2,completionMax:11us [09m33s] 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: b/a - - ab:bbbbbbbb=bbbbbbb,a=bbbb [09m33s] # 12607 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:67,nodes:16,pairs:1,completionMax:6us [09m33s] 12607 ab:abbb=aa,bbbb=b infinite b/a - - ab:bbbb=b,aa=abbb,abbba=abbb [09m33s] # 12608 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:3,work:127,nodes:14,pairs:1,completionMax:6us [09m33s] 12608 ab:abbb=ab,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbbb [09m33s] from: 12608 ab:abbb=ab,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbbb,b=b [09m33s] # 12609 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:47,nodes:14,pairs:3,completionMax:6us [09m33s] 12609 ab:abbb=ab,bbbb=b infinite ab - - ab:abb=ab,bbbb=b [09m33s] # 12610 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:3,work:127,nodes:14,pairs:1,completionMax:10us [09m33s] 12610 ab:abbb=ba,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbbb [09m33s] from: 12610 ab:abbb=ba,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbbb,b=b [09m33s] # 12611 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:37,nodes:8,pairs:0,completionMax:5us [09m33s] 12611 ab:abbb=ba,bbbb=b infinite b/a - - ab:bbbb=b,ba=abbb [09m33s] # 12612 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:28,nodes:14,pairs:1,completionMax:8us [09m33s] 12612 ab:abbb=bb,bbbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [09m33s] from: 12612 ab:abbb=bb,bbbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [09m33s] # 12613 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:36,nodes:14,pairs:2,completionMax:7us [09m33s] 12613 ab:abbb=bb,bbbb=b infinite b/a - - ab:bbbb=b,ab=bbb [09m33s] from: 12613 ab:abbb=bb,bbbb=b infinite to: 1586 ab:aaa=ab,aab=a infinite anti:a=b,b=a [09m33s] # 12614 solved: rounds:3,rules:8,peak:9,longest:8,steps:8,word:11,work:3171,nodes:30,pairs:44,completionMax:151us [09m33s] 12614 ab:baab=aa,babb=a infinite b/a - - ab:babb=a,aabbbbb=aa,baa=aabbbb,baba=aabb,aaba=aaabbb,aabba=aaab,aabbba=aaabbbb,aabbbba=aaabb [09m33s] # 12615 solved: rounds:3,rules:5,peak:10,longest:5,steps:6,word:0,work:2401,nodes:26,pairs:39,completionMax:150us [09m33s] 12615 ab:baab=aa,babb=b infinite ab - - ab:aaa=aa,baa=aab,aaba=aab,aabb=aa,babb=b [09m33s] # 12616 solved: rounds:1,rules:2,peak:2,longest:10,steps:5,word:12,work:569,nodes:20,pairs:3,completionMax:23us [09m33s] 12616 ab:baab=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 b/a - - ab:bbbbbbbbbb=bbbbbbbb,a=bbbb [09m33s] from: 12616 ab:baab=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 to: 12452 ab:aabb=aa,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b8,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:2 a=bbbb,b=b [09m33s] 12617 ab:baab=aa,bbbb=b hard definitely-infinite [09m33s] # 12618 solved: rounds:3,rules:3,peak:13,longest:5,steps:5,word:2,work:2232,nodes:34,pairs:40,completionMax:204us [09m33s] 12618 ab:baab=ab,babb=a infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [09m33s] from: 12618 ab:baab=ab,babb=a infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [09m33s] # 12619 solved: rounds:4,rules:2,peak:7,longest:5,steps:4,word:0,work:662,nodes:20,pairs:16,completionMax:57us [09m33s] 12619 ab:baab=ab,babb=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 12619 ab:baab=ab,babb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 12620 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:2,work:678,nodes:20,pairs:25,completionMax:70us [09m33s] 12620 ab:baab=ab,bbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [09m33s] from: 12620 ab:baab=ab,bbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [09m33s] # 12621 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:329,nodes:14,pairs:12,completionMax:24us [09m33s] 12621 ab:baab=ab,bbab=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 12621 ab:baab=ab,bbab=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 12622 solved: rounds:1,rules:2,peak:2,longest:10,steps:3,word:4,work:146,nodes:20,pairs:2,completionMax:12us [09m33s] 12622 ab:baab=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbb [09m33s] from: 12622 ab:baab=ab,bbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbb,b=b [09m33s] # 12623 solved: rounds:3,rules:5,peak:7,longest:7,steps:3,word:1,work:1141,nodes:26,pairs:34,completionMax:85us [09m33s] 12623 ab:baab=ab,bbbb=b infinite a/b - - ab:aaaab=ab,bab=aaab,baab=ab,baaab=aab,bbbb=b [09m33s] # 12624 solved: rounds:4,rules:4,peak:17,longest:6,steps:9,word:6,work:4804,nodes:34,pairs:67,completionMax:314us [09m33s] 12624 ab:baab=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 b/a - - ab:bbbbb=bb,abbb=a,ba=ab,aa=bbb [09m33s] from: 12624 ab:baab=bb,babb=a finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,bbbb;commutative:ab:a3=a,b3=a2,a2b2=b2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=b,b=a [09m33s] # 12625 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:5us [09m33s] 12625 ab:baab=bb,babb=b infinite ab - - ab:baab=bb,babb=b [09m33s] # 12626 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:3,work:67,nodes:20,pairs:2,completionMax:14us [09m33s] 12626 ab:baab=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbb [09m33s] from: 12626 ab:baab=bb,bbbb=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaa,b=a [09m33s] # 12627 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:33,nodes:12,pairs:0,completionMax:5us [09m33s] 12627 ab:baab=bb,bbbb=b infinite ab - - ab:baab=bb,bbbb=b [09m33s] # 12628 solved: rounds:6,rules:3,peak:6,longest:5,steps:4,word:0,work:640,nodes:24,pairs:21,completionMax:61us [09m33s] 12628 ab:baba=aa,bbaa=a infinite ab - - ab:aa=a,aba=ba,bba=a [09m33s] from: 12628 ab:baba=aa,bbaa=a infinite to: 888 ab:aa=a,abab=a infinite anti:a=a,b=b [09m33s] # 12629 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:2,work:398,nodes:28,pairs:10,completionMax:48us [09m33s] 12629 ab:baba=aa,bbaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [09m33s] from: 12629 ab:baba=aa,bbaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 12630 solved: rounds:5,rules:3,peak:14,longest:5,steps:4,word:0,work:2499,nodes:30,pairs:35,completionMax:176us [09m33s] 12630 ab:baba=ab,bbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 12630 ab:baba=ab,bbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 12631 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:12,pairs:0,completionMax:1us [09m33s] 12631 ab:baba=ba,bbaa=a infinite ab - - ab:baba=ba,bbaa=a [09m33s] # 12632 solved: rounds:1,rules:2,peak:2,longest:8,steps:7,word:6,work:483,nodes:16,pairs:2,completionMax:13us [09m33s] 12632 ab:babb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: b/a - - ab:bbbbbbbb=bbbbbbb,a=bbbb [09m33s] from: 12632 ab:babb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=bbbb,b=b [09m33s] # 12633 solved: rounds:4,rules:13,peak:13,longest:11,steps:17,word:7,work:11066,nodes:70,pairs:28,completionMax:328us [09m33s] 12633 ab:babb=aa,bbbb=b finite:79;idempotents:1,bbb,aaaaaaa;center:1,aaaaaaa,aaabaabb,abaabaaba reversed:a/b - - ab:aaaaaaaaaaa=aaaa,aaaaba=aaaaaab,baaa=aabaa,bab=aabb,aaabba=aaabaab,aaabaaba=aaaabb,aabbaa=aaabb,aabaabaa=aaabaab,aabbb=aa,aabaabba=aaabaabb,bbbaa=aa,bbaabaa=aaa,bbbb=b [09m33s] # 12634 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:6,work:182,nodes:14,pairs:2,completionMax:13us [09m33s] 12634 ab:babb=ab,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbbb [09m33s] from: 12634 ab:babb=ab,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbbb,b=b [09m33s] # 12635 solved: rounds:2,rules:5,peak:8,longest:4,steps:3,word:1,work:285,nodes:24,pairs:12,completionMax:37us [09m33s] 12635 ab:babb=ab,bbbb=b infinite reversed:b/ca ab=c frequency:2/0 abc:bbbb=b,bbbc=c,cb=bbc,ab=c,ac=bcc [09m33s] # 12636 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:4,work:156,nodes:14,pairs:1,completionMax:12us [09m33s] 12636 ab:babb=ba,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 b/a - - ab:bbbbbbb=bbbbb,a=bbbb [09m33s] from: 12636 ab:babb=ba,bbbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b4;saturation:a:a2=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=bbbb,b=b [09m33s] # 12637 solved: rounds:2,rules:5,peak:7,longest:4,steps:4,word:0,work:253,nodes:24,pairs:18,completionMax:56us [09m33s] 12637 ab:babb=ba,bbbb=b infinite cab ba=c frequency:2/1 abc:ca=cc,cb=c,ba=c,bbbc=c,bbbb=b [09m33s] # 12638 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:37,nodes:14,pairs:1,completionMax:8us [09m33s] 12638 ab:babb=bb,bbbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [09m33s] from: 12638 ab:babb=bb,bbbb=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [09m33s] # 12639 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:70,nodes:12,pairs:1,completionMax:9us [09m33s] 12639 ab:babb=bb,bbbb=b infinite ab - - ab:bab=b,bbbb=b [09m33s] from: 12639 ab:babb=bb,bbbb=b infinite to: 2084 ab:aba=a,aaaa=a infinite a=b,b=a [09m33s] # 12640 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:10,pairs:2,completionMax:6us [09m33s] 12640 ab:aab=aaa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12640 ab:aab=aaa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12641 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:5us [09m33s] 12641 ab:aab=aaa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12641 ab:aab=aaa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12642 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:5us [09m33s] 12642 ab:aab=aaa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12642 ab:aab=aaa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12643 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:22,nodes:10,pairs:2,completionMax:7us [09m33s] 12643 ab:aab=aaa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12643 ab:aab=aaa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12644 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:5us [09m33s] 12644 ab:aab=aaa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12644 ab:aab=aaa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12645 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:22,nodes:10,pairs:2,completionMax:5us [09m33s] 12645 ab:aab=aaa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12645 ab:aab=aaa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12646 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:22,nodes:10,pairs:2,completionMax:11us [09m33s] 12646 ab:aab=aaa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12646 ab:aab=aaa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12647 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:27,nodes:10,pairs:2,completionMax:4us [09m33s] 12647 ab:aab=aaa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12647 ab:aab=aaa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12648 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:96,nodes:18,pairs:7,completionMax:30us [09m33s] 12648 ab:aab=aaa,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12648 ab:aab=aaa,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12649 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:101,nodes:18,pairs:7,completionMax:24us [09m33s] 12649 ab:aab=aaa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12649 ab:aab=aaa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12650 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:212,nodes:20,pairs:10,completionMax:35us [09m33s] 12650 ab:aab=aaa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12650 ab:aab=aaa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12651 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:131,nodes:18,pairs:6,completionMax:24us [09m33s] 12651 ab:aab=aaa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12651 ab:aab=aaa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12652 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:126,nodes:18,pairs:8,completionMax:21us [09m33s] 12652 ab:aab=aaa,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12652 ab:aab=aaa,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12653 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:263,nodes:22,pairs:20,completionMax:39us [09m33s] 12653 ab:aab=aaa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12653 ab:aab=aaa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12654 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:311,nodes:24,pairs:7,completionMax:40us [09m33s] 12654 ab:aab=aaa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12654 ab:aab=aaa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12655 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:131,nodes:18,pairs:6,completionMax:35us [09m33s] 12655 ab:aab=aaa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12655 ab:aab=aaa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12656 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:119,nodes:22,pairs:4,completionMax:26us [09m33s] 12656 ab:aab=aaa,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12656 ab:aab=aaa,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12657 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:124,nodes:22,pairs:4,completionMax:23us [09m33s] 12657 ab:aab=aaa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12657 ab:aab=aaa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12658 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:124,nodes:22,pairs:4,completionMax:24us [09m33s] 12658 ab:aab=aaa,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12658 ab:aab=aaa,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12659 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:129,nodes:22,pairs:4,completionMax:22us [09m33s] 12659 ab:aab=aaa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12659 ab:aab=aaa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12660 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:145,nodes:22,pairs:5,completionMax:31us [09m33s] 12660 ab:aab=aaa,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12660 ab:aab=aaa,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12661 solved: rounds:3,rules:2,peak:4,longest:7,steps:6,word:0,work:323,nodes:22,pairs:9,completionMax:35us [09m33s] 12661 ab:aab=aaa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12661 ab:aab=aaa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12662 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:270,nodes:24,pairs:9,completionMax:34us [09m33s] 12662 ab:aab=aaa,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12662 ab:aab=aaa,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12663 solved: rounds:3,rules:2,peak:7,longest:7,steps:11,word:0,work:674,nodes:22,pairs:12,completionMax:46us [09m33s] 12663 ab:aab=aaa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12663 ab:aab=aaa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12664 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:153,nodes:22,pairs:5,completionMax:27us [09m33s] 12664 ab:aab=aaa,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12664 ab:aab=aaa,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12665 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:158,nodes:22,pairs:5,completionMax:19us [09m33s] 12665 ab:aab=aaa,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12665 ab:aab=aaa,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12666 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:166,nodes:22,pairs:6,completionMax:24us [09m33s] 12666 ab:aab=aaa,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12666 ab:aab=aaa,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12667 solved: rounds:2,rules:2,peak:8,longest:7,steps:10,word:0,work:1063,nodes:26,pairs:13,completionMax:66us [09m33s] 12667 ab:aab=aaa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12667 ab:aab=aaa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12668 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:188,nodes:22,pairs:6,completionMax:36us [09m33s] 12668 ab:aab=aaa,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12668 ab:aab=aaa,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12669 solved: rounds:4,rules:2,peak:7,longest:7,steps:9,word:0,work:1414,nodes:26,pairs:20,completionMax:97us [09m33s] 12669 ab:aab=aaa,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12669 ab:aab=aaa,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12670 solved: rounds:3,rules:2,peak:5,longest:7,steps:4,word:0,work:302,nodes:22,pairs:9,completionMax:46us [09m33s] 12670 ab:aab=aaa,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12670 ab:aab=aaa,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12671 solved: rounds:1,rules:3,peak:3,longest:7,steps:4,word:0,work:77,nodes:22,pairs:1,completionMax:12us [09m33s] 12671 ab:aab=aaa,bbbbb=1 infinite ab - - ab:aab=aaa,bbbbb=1,aaaaaaa=aa [09m33s] # 12672 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:63,nodes:14,pairs:4,completionMax:12us [09m33s] 12672 ab:aba=aaa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12672 ab:aba=aaa,aaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12673 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:0,work:107,nodes:14,pairs:5,completionMax:23us [09m33s] 12673 ab:aba=aaa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12673 ab:aba=aaa,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12674 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:68,nodes:14,pairs:4,completionMax:12us [09m33s] 12674 ab:aba=aaa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12674 ab:aba=aaa,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12675 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:12,pairs:3,completionMax:16us [09m33s] 12675 ab:aba=aaa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12675 ab:aba=aaa,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12676 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:68,nodes:14,pairs:4,completionMax:16us [09m33s] 12676 ab:aba=aaa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12676 ab:aba=aaa,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12677 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:0,work:112,nodes:14,pairs:5,completionMax:35us [09m33s] 12677 ab:aba=aaa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12677 ab:aba=aaa,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12678 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:99,nodes:14,pairs:7,completionMax:26us [09m33s] 12678 ab:aba=aaa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12678 ab:aba=aaa,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12679 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:40,nodes:12,pairs:3,completionMax:13us [09m33s] 12679 ab:aba=aaa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12679 ab:aba=aaa,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12680 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:0,work:112,nodes:14,pairs:5,completionMax:28us [09m33s] 12680 ab:aba=aaa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12680 ab:aba=aaa,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12681 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:73,nodes:14,pairs:4,completionMax:16us [09m33s] 12681 ab:aba=aaa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12681 ab:aba=aaa,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12682 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:12,pairs:3,completionMax:20us [09m33s] 12682 ab:aba=aaa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12682 ab:aba=aaa,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12683 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:258,nodes:22,pairs:10,completionMax:44us [09m33s] 12683 ab:aba=aaa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12683 ab:aba=aaa,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12684 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:152,nodes:12,pairs:7,completionMax:21us [09m33s] 12684 ab:aba=aaa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12684 ab:aba=aaa,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12685 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:45,nodes:10,pairs:3,completionMax:18us [09m33s] 12685 ab:aba=aaa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12685 ab:aba=aaa,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12686 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:461,nodes:22,pairs:23,completionMax:92us [09m33s] 12686 ab:aba=aaa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12686 ab:aba=aaa,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12687 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:375,nodes:22,pairs:18,completionMax:57us [09m33s] 12687 ab:aba=aaa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12687 ab:aba=aaa,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12688 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:466,nodes:22,pairs:23,completionMax:69us [09m33s] 12688 ab:aba=aaa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12688 ab:aba=aaa,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12689 solved: rounds:5,rules:2,peak:6,longest:6,steps:5,word:0,work:571,nodes:26,pairs:19,completionMax:66us [09m33s] 12689 ab:aba=aaa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12689 ab:aba=aaa,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12690 solved: rounds:3,rules:2,peak:10,longest:7,steps:4,word:0,work:1836,nodes:40,pairs:58,completionMax:147us [09m33s] 12690 ab:aba=aaa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12690 ab:aba=aaa,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12691 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:14,pairs:0,completionMax:4us [09m33s] 12691 ab:aba=aaa,bbbbb=1 infinite ab - - ab:aba=aaa,bbbbb=1 [09m33s] # 12692 solved: rounds:1,rules:2,peak:3,longest:5,steps:5,word:0,work:98,nodes:14,pairs:3,completionMax:11us [09m33s] 12692 ab:aba=aab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 ab - - ab:ba=ab,aaaaa=1 [09m33s] from: 12692 ab:aba=aab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 to: 2156 ab:ba=ab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 a=a,b=b [09m33s] # 12693 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:292,nodes:18,pairs:6,completionMax:18us [09m33s] 12693 ab:aba=aab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12693 ab:aba=aab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12694 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:297,nodes:18,pairs:6,completionMax:15us [09m33s] 12694 ab:aba=aab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12694 ab:aba=aab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12695 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:134,nodes:18,pairs:4,completionMax:11us [09m33s] 12695 ab:aba=aab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12695 ab:aba=aab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12696 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:302,nodes:18,pairs:6,completionMax:21us [09m33s] 12696 ab:aba=aab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12696 ab:aba=aab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12697 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:139,nodes:18,pairs:4,completionMax:22us [09m33s] 12697 ab:aba=aab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12697 ab:aba=aab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12698 solved: rounds:1,rules:2,peak:4,longest:5,steps:3,word:0,work:134,nodes:18,pairs:4,completionMax:18us [09m33s] 12698 ab:aba=aab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12698 ab:aba=aab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12699 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:48,nodes:14,pairs:1,completionMax:13us [09m33s] 12699 ab:aba=aab,aabbb=1 infinite ba - - ab:aab=aba,ababb=1,ababab=a [09m33s] # 12700 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:307,nodes:18,pairs:6,completionMax:22us [09m33s] 12700 ab:aba=aab,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12700 ab:aba=aab,abaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12701 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:144,nodes:18,pairs:4,completionMax:22us [09m33s] 12701 ab:aba=aab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12701 ab:aba=aab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12702 solved: rounds:1,rules:2,peak:4,longest:5,steps:3,word:0,work:139,nodes:18,pairs:4,completionMax:14us [09m33s] 12702 ab:aba=aab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12702 ab:aba=aab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12703 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:43,nodes:14,pairs:1,completionMax:8us [09m33s] 12703 ab:aba=aab,ababb=1 infinite ba - - ab:aab=aba,ababb=1,ababab=a [09m33s] from: 12703 ab:aba=aab,ababb=1 infinite to: 12699 ab:aba=aab,aabbb=1 infinite a=a,b=b [09m33s] # 12704 solved: rounds:2,rules:2,peak:4,longest:7,steps:6,word:0,work:312,nodes:22,pairs:7,completionMax:25us [09m33s] 12704 ab:aba=aab,abbaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12704 ab:aba=aab,abbaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12705 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:1283,nodes:24,pairs:19,completionMax:65us [09m33s] 12705 ab:aba=aab,abbab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12705 ab:aba=aab,abbab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12706 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:116,nodes:12,pairs:5,completionMax:13us [09m33s] 12706 ab:aba=aab,abbba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12706 ab:aba=aab,abbba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12707 solved: rounds:2,rules:4,peak:4,longest:7,steps:5,word:0,work:506,nodes:24,pairs:3,completionMax:17us [09m33s] 12707 ab:aba=aab,abbbb=1 infinite ab - - ab:aba=aab,aabba=aaabb,abbbb=1,aaabbba=aaaabbb [09m33s] # 12708 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:226,nodes:22,pairs:4,completionMax:18us [09m33s] 12708 ab:aba=aab,baaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12708 ab:aba=aab,baaaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12709 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:732,nodes:26,pairs:12,completionMax:45us [09m33s] 12709 ab:aba=aab,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12709 ab:aba=aab,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12710 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:737,nodes:26,pairs:12,completionMax:59us [09m33s] 12710 ab:aba=aab,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12710 ab:aba=aab,baaba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12711 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:797,nodes:26,pairs:11,completionMax:63us [09m33s] 12711 ab:aba=aab,baabb=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12711 ab:aba=aab,baabb=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12712 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:742,nodes:26,pairs:12,completionMax:47us [09m33s] 12712 ab:aba=aab,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12712 ab:aba=aab,babaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12713 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:802,nodes:26,pairs:11,completionMax:50us [09m33s] 12713 ab:aba=aab,babab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12713 ab:aba=aab,babab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12714 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:231,nodes:22,pairs:6,completionMax:22us [09m33s] 12714 ab:aba=aab,babba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12714 ab:aba=aab,babba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12715 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:519,nodes:24,pairs:8,completionMax:35us [09m33s] 12715 ab:aba=aab,babbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12715 ab:aba=aab,babbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12716 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:95,nodes:14,pairs:3,completionMax:8us [09m33s] 12716 ab:aba=aab,bbaaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12716 ab:aba=aab,bbaaa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12717 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:813,nodes:28,pairs:20,completionMax:47us [09m33s] 12717 ab:aba=aab,bbaab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12717 ab:aba=aab,bbaab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12718 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:818,nodes:28,pairs:20,completionMax:41us [09m33s] 12718 ab:aba=aab,bbaba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12718 ab:aba=aab,bbaba=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12719 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:743,nodes:22,pairs:13,completionMax:35us [09m33s] 12719 ab:aba=aab,bbabb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12719 ab:aba=aab,bbabb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12720 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:95,nodes:14,pairs:3,completionMax:14us [09m33s] 12720 ab:aba=aab,bbbaa=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12720 ab:aba=aab,bbbaa=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12721 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:792,nodes:28,pairs:17,completionMax:75us [09m33s] 12721 ab:aba=aab,bbbab=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12721 ab:aba=aab,bbbab=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12722 solved: rounds:2,rules:2,peak:3,longest:5,steps:4,word:0,work:85,nodes:14,pairs:3,completionMax:12us [09m33s] 12722 ab:aba=aab,bbbba=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12722 ab:aba=aab,bbbba=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12723 solved: rounds:2,rules:5,peak:5,longest:9,steps:6,word:0,work:1271,nodes:38,pairs:4,completionMax:59us [09m33s] 12723 ab:aba=aab,bbbbb=1 infinite ab - - ab:aba=aab,aabba=aaabb,bbbbb=1,aaabbba=aaaabbb,aaaabbbba=aaaaabbbb [09m33s] # 12724 solved: rounds:2,rules:2,peak:7,longest:22,steps:3,word:15,work:1602,nodes:56,pairs:24,completionMax:140us [09m33s] 12724 ab:abb=aaa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12724 ab:abb=aaa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12725 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:20,nodes:20,pairs:3,completionMax:14us [09m33s] 12725 ab:abb=aaa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12725 ab:abb=aaa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12726 solved: rounds:4,rules:2,peak:5,longest:10,steps:4,word:5,work:363,nodes:20,pairs:17,completionMax:53us [09m33s] 12726 ab:abb=aaa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12726 ab:abb=aaa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12727 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:5,work:180,nodes:20,pairs:17,completionMax:34us [09m33s] 12727 ab:abb=aaa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12727 ab:abb=aaa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12728 solved: rounds:2,rules:2,peak:5,longest:10,steps:6,word:5,work:407,nodes:26,pairs:10,completionMax:33us [09m33s] 12728 ab:abb=aaa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12728 ab:abb=aaa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12729 solved: rounds:3,rules:2,peak:13,longest:17,steps:9,word:10,work:6823,nodes:88,pairs:83,completionMax:469us [09m33s] 12729 ab:abb=aaa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12729 ab:abb=aaa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12730 solved: rounds:2,rules:2,peak:7,longest:10,steps:3,word:5,work:758,nodes:34,pairs:30,completionMax:101us [09m33s] 12730 ab:abb=aaa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12730 ab:abb=aaa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12731 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:25,nodes:20,pairs:3,completionMax:18us [09m33s] 12731 ab:abb=aaa,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12731 ab:abb=aaa,aabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12732 solved: rounds:3,rules:2,peak:6,longest:10,steps:5,word:5,work:671,nodes:28,pairs:16,completionMax:67us [09m33s] 12732 ab:abb=aaa,abaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12732 ab:abb=aaa,abaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12733 solved: rounds:4,rules:2,peak:8,longest:10,steps:9,word:5,work:1478,nodes:20,pairs:33,completionMax:187us [09m33s] 12733 ab:abb=aaa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12733 ab:abb=aaa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12734 solved: rounds:3,rules:2,peak:5,longest:10,steps:8,word:5,work:389,nodes:20,pairs:10,completionMax:32us [09m33s] 12734 ab:abb=aaa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12734 ab:abb=aaa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12735 solved: rounds:3,rules:2,peak:6,longest:10,steps:5,word:5,work:676,nodes:28,pairs:16,completionMax:57us [09m33s] 12735 ab:abb=aaa,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12735 ab:abb=aaa,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12736 solved: rounds:2,rules:2,peak:7,longest:22,steps:3,word:15,work:1597,nodes:56,pairs:24,completionMax:226us [09m33s] 12736 ab:abb=aaa,abbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12736 ab:abb=aaa,abbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12737 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:25,nodes:20,pairs:3,completionMax:14us [09m33s] 12737 ab:abb=aaa,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12737 ab:abb=aaa,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12738 solved: rounds:4,rules:2,peak:5,longest:10,steps:4,word:5,work:368,nodes:20,pairs:17,completionMax:39us [09m33s] 12738 ab:abb=aaa,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12738 ab:abb=aaa,abbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12739 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:5,work:175,nodes:20,pairs:17,completionMax:64us [09m33s] 12739 ab:abb=aaa,abbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12739 ab:abb=aaa,abbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12740 solved: rounds:3,rules:2,peak:5,longest:11,steps:2,word:5,work:168,nodes:30,pairs:9,completionMax:48us [09m33s] 12740 ab:abb=aaa,baaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12740 ab:abb=aaa,baaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12741 solved: rounds:4,rules:2,peak:8,longest:10,steps:7,word:5,work:1013,nodes:22,pairs:21,completionMax:88us [09m33s] 12741 ab:abb=aaa,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12741 ab:abb=aaa,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12742 solved: rounds:2,rules:2,peak:6,longest:10,steps:5,word:10,work:543,nodes:26,pairs:21,completionMax:72us [09m33s] 12742 ab:abb=aaa,baaba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12742 ab:abb=aaa,baaba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12743 solved: rounds:3,rules:2,peak:5,longest:11,steps:2,word:5,work:173,nodes:30,pairs:9,completionMax:51us [09m33s] 12743 ab:abb=aaa,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12743 ab:abb=aaa,baabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12744 solved: rounds:3,rules:2,peak:8,longest:13,steps:10,word:10,work:1371,nodes:40,pairs:27,completionMax:127us [09m33s] 12744 ab:abb=aaa,babaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12744 ab:abb=aaa,babaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12745 solved: rounds:3,rules:2,peak:5,longest:10,steps:10,word:10,work:707,nodes:30,pairs:16,completionMax:59us [09m33s] 12745 ab:abb=aaa,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12745 ab:abb=aaa,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12746 solved: rounds:3,rules:2,peak:5,longest:11,steps:2,word:5,work:173,nodes:30,pairs:9,completionMax:52us [09m33s] 12746 ab:abb=aaa,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12746 ab:abb=aaa,babba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12747 solved: rounds:4,rules:2,peak:8,longest:10,steps:7,word:5,work:1008,nodes:22,pairs:21,completionMax:89us [09m33s] 12747 ab:abb=aaa,babbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12747 ab:abb=aaa,babbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12748 solved: rounds:5,rules:2,peak:5,longest:10,steps:5,word:5,work:495,nodes:20,pairs:19,completionMax:67us [09m33s] 12748 ab:abb=aaa,bbaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12748 ab:abb=aaa,bbaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12749 solved: rounds:3,rules:2,peak:6,longest:11,steps:3,word:5,work:814,nodes:34,pairs:28,completionMax:91us [09m33s] 12749 ab:abb=aaa,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12749 ab:abb=aaa,bbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12750 solved: rounds:4,rules:2,peak:7,longest:10,steps:6,word:5,work:924,nodes:28,pairs:16,completionMax:91us [09m33s] 12750 ab:abb=aaa,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12750 ab:abb=aaa,bbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12751 solved: rounds:5,rules:2,peak:5,longest:10,steps:5,word:5,work:490,nodes:20,pairs:19,completionMax:66us [09m33s] 12751 ab:abb=aaa,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12751 ab:abb=aaa,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12752 solved: rounds:2,rules:2,peak:5,longest:11,steps:3,word:5,work:275,nodes:32,pairs:8,completionMax:55us [09m33s] 12752 ab:abb=aaa,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12752 ab:abb=aaa,bbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12753 solved: rounds:4,rules:2,peak:13,longest:13,steps:11,word:10,work:4958,nodes:54,pairs:87,completionMax:396us [09m33s] 12753 ab:abb=aaa,bbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12753 ab:abb=aaa,bbbab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12754 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:5,work:175,nodes:20,pairs:17,completionMax:36us [09m33s] 12754 ab:abb=aaa,bbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12754 ab:abb=aaa,bbbba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12755 solved: rounds:1,rules:3,peak:4,longest:11,steps:7,word:10,work:173,nodes:32,pairs:2,completionMax:15us [09m33s] 12755 ab:abb=aaa,bbbbb=1 finite:55;idempotents:1,baaaa,bbbaa,aaaaaaaaaa,bbaaaaaaaa,bbbbaaaaaa a/b - - ab:aaaaaaaaaaa=a,ab=aaaaaaa,bbbbb=1 [09m33s] # 12756 solved: rounds:1,rules:3,peak:4,longest:6,steps:3,word:0,work:82,nodes:20,pairs:2,completionMax:11us [09m33s] 12756 ab:abb=aab,aaaaa=1 finite:30;idempotents:1,baaaa,bbaaa,bbbaa,bbbba,bbbbb ba - - ab:ab=bb,aaaaa=1,bbbbbb=b [09m33s] # 12757 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:15,nodes:12,pairs:2,completionMax:13us [09m33s] 12757 ab:abb=aab,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12757 ab:abb=aab,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12758 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:147,nodes:16,pairs:13,completionMax:33us [09m33s] 12758 ab:abb=aab,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12758 ab:abb=aab,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12759 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:12,pairs:2,completionMax:7us [09m33s] 12759 ab:abb=aab,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12759 ab:abb=aab,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12760 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:548,nodes:16,pairs:19,completionMax:38us [09m33s] 12760 ab:abb=aab,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12760 ab:abb=aab,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12761 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:584,nodes:26,pairs:27,completionMax:66us [09m33s] 12761 ab:abb=aab,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12761 ab:abb=aab,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12762 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:152,nodes:16,pairs:13,completionMax:28us [09m33s] 12762 ab:abb=aab,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12762 ab:abb=aab,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12763 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:0,work:384,nodes:18,pairs:18,completionMax:45us [09m33s] 12763 ab:abb=aab,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12763 ab:abb=aab,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12764 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:292,nodes:18,pairs:9,completionMax:32us [09m33s] 12764 ab:abb=aab,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12764 ab:abb=aab,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12765 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:153,nodes:12,pairs:6,completionMax:22us [09m33s] 12765 ab:abb=aab,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12765 ab:abb=aab,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12766 solved: rounds:3,rules:2,peak:6,longest:5,steps:5,word:0,work:553,nodes:16,pairs:19,completionMax:56us [09m33s] 12766 ab:abb=aab,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12766 ab:abb=aab,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12767 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:157,nodes:16,pairs:13,completionMax:31us [09m33s] 12767 ab:abb=aab,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12767 ab:abb=aab,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12768 solved: rounds:3,rules:2,peak:5,longest:6,steps:1,word:0,work:107,nodes:20,pairs:7,completionMax:28us [09m33s] 12768 ab:abb=aab,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12768 ab:abb=aab,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12769 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:161,nodes:14,pairs:9,completionMax:26us [09m33s] 12769 ab:abb=aab,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12769 ab:abb=aab,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12770 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:80,nodes:14,pairs:7,completionMax:16us [09m33s] 12770 ab:abb=aab,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12770 ab:abb=aab,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12771 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:154,nodes:22,pairs:7,completionMax:42us [09m33s] 12771 ab:abb=aab,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12771 ab:abb=aab,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12772 solved: rounds:2,rules:3,peak:4,longest:7,steps:4,word:0,work:150,nodes:30,pairs:6,completionMax:30us [09m33s] 12772 ab:abb=aba,aaaaa=1 finite:30;idempotents:1,aaaab,aaabb,aabbb,abbbb,bbbbb ba - - ab:ba=bb,aaaaa=1,bbbbbb=b [09m33s] from: 12772 ab:abb=aba,aaaaa=1 finite:30;idempotents:1,aaaab,aaabb,aabbb,abbbb,bbbbb to: 2155 ab:ab=aa,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba a=b,b=a [09m33s] # 12773 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:12,pairs:2,completionMax:10us [09m33s] 12773 ab:abb=aba,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12773 ab:abb=aba,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12774 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:142,nodes:16,pairs:9,completionMax:27us [09m33s] 12774 ab:abb=aba,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12774 ab:abb=aba,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12775 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:147,nodes:16,pairs:9,completionMax:29us [09m33s] 12775 ab:abb=aba,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12775 ab:abb=aba,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12776 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:673,nodes:16,pairs:19,completionMax:59us [09m33s] 12776 ab:abb=aba,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12776 ab:abb=aba,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12777 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:29,nodes:12,pairs:3,completionMax:11us [09m33s] 12777 ab:abb=aba,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12777 ab:abb=aba,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12778 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:678,nodes:16,pairs:19,completionMax:61us [09m33s] 12778 ab:abb=aba,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12778 ab:abb=aba,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12779 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:34,nodes:12,pairs:3,completionMax:13us [09m33s] 12779 ab:abb=aba,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12779 ab:abb=aba,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12780 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:361,nodes:16,pairs:16,completionMax:47us [09m33s] 12780 ab:abb=aba,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12780 ab:abb=aba,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12781 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:10,pairs:4,completionMax:11us [09m33s] 12781 ab:abb=aba,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12781 ab:abb=aba,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12782 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:166,nodes:12,pairs:6,completionMax:18us [09m33s] 12782 ab:abb=aba,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12782 ab:abb=aba,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12783 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:171,nodes:12,pairs:6,completionMax:23us [09m33s] 12783 ab:abb=aba,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12783 ab:abb=aba,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12784 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:366,nodes:16,pairs:16,completionMax:45us [09m33s] 12784 ab:abb=aba,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12784 ab:abb=aba,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12785 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:10,pairs:4,completionMax:16us [09m33s] 12785 ab:abb=aba,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12785 ab:abb=aba,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12786 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:171,nodes:12,pairs:6,completionMax:22us [09m33s] 12786 ab:abb=aba,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12786 ab:abb=aba,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12787 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:176,nodes:12,pairs:6,completionMax:20us [09m33s] 12787 ab:abb=aba,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12787 ab:abb=aba,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12788 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:115,nodes:20,pairs:6,completionMax:33us [09m33s] 12788 ab:abb=aba,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12788 ab:abb=aba,baaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12789 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:132,nodes:24,pairs:5,completionMax:23us [09m33s] 12789 ab:abb=aba,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12789 ab:abb=aba,baaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12790 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:686,nodes:24,pairs:26,completionMax:68us [09m33s] 12790 ab:abb=aba,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12790 ab:abb=aba,baaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12791 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:691,nodes:24,pairs:26,completionMax:60us [09m33s] 12791 ab:abb=aba,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12791 ab:abb=aba,baabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12792 solved: rounds:4,rules:2,peak:10,longest:8,steps:4,word:0,work:1782,nodes:38,pairs:49,completionMax:154us [09m33s] 12792 ab:abb=aba,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12792 ab:abb=aba,babaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12793 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:176,nodes:24,pairs:7,completionMax:20us [09m33s] 12793 ab:abb=aba,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12793 ab:abb=aba,babab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12794 solved: rounds:4,rules:2,peak:10,longest:8,steps:4,word:0,work:1787,nodes:38,pairs:49,completionMax:129us [09m33s] 12794 ab:abb=aba,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12794 ab:abb=aba,babba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12795 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:181,nodes:24,pairs:7,completionMax:24us [09m33s] 12795 ab:abb=aba,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12795 ab:abb=aba,babbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12796 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:563,nodes:34,pairs:12,completionMax:65us [09m33s] 12796 ab:abb=aba,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12796 ab:abb=aba,bbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12797 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:147,nodes:22,pairs:7,completionMax:26us [09m33s] 12797 ab:abb=aba,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12797 ab:abb=aba,bbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12798 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:643,nodes:28,pairs:24,completionMax:74us [09m33s] 12798 ab:abb=aba,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12798 ab:abb=aba,bbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12799 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:648,nodes:28,pairs:24,completionMax:63us [09m33s] 12799 ab:abb=aba,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12799 ab:abb=aba,bbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12800 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:319,nodes:20,pairs:13,completionMax:34us [09m33s] 12800 ab:abb=aba,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12800 ab:abb=aba,bbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12801 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:193,nodes:22,pairs:8,completionMax:22us [09m33s] 12801 ab:abb=aba,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12801 ab:abb=aba,bbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12802 solved: rounds:4,rules:2,peak:9,longest:7,steps:3,word:0,work:1190,nodes:30,pairs:44,completionMax:111us [09m33s] 12802 ab:abb=aba,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12802 ab:abb=aba,bbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12803 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:0,work:208,nodes:20,pairs:7,completionMax:18us [09m33s] 12803 ab:abb=aba,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba ab - - ab:ab=aa,bbbbb=1,aaaaaa=a [09m33s] from: 12803 ab:abb=aba,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba to: 2155 ab:ab=aa,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba a=a,b=b [09m33s] # 12804 solved: rounds:1,rules:2,peak:3,longest:5,steps:5,word:0,work:68,nodes:14,pairs:2,completionMax:11us [09m33s] 12804 ab:baa=aab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 ab - - ab:ba=ab,aaaaa=1 [09m33s] from: 12804 ab:baa=aab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 to: 2156 ab:ba=ab,aaaaa=1 infinite;commutative:ab:a5=1;saturation:ab:b5=1;cancellative;smith:5,0 a=a,b=b [09m33s] # 12805 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:62,nodes:14,pairs:1,completionMax:7us [09m33s] 12805 ab:baa=aab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12805 ab:baa=aab,aaaab=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12806 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:517,nodes:22,pairs:8,completionMax:43us [09m33s] 12806 ab:baa=aab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12806 ab:baa=aab,aaaba=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12807 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:70,nodes:14,pairs:2,completionMax:9us [09m33s] 12807 ab:baa=aab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12807 ab:baa=aab,aaabb=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12808 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:67,nodes:14,pairs:1,completionMax:7us [09m33s] 12808 ab:baa=aab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa ab - - ab:ba=ab,aaaab=1 [09m33s] from: 12808 ab:baa=aab,aabaa=1 infinite;commutative:ab:a4b=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-aaab,b-aaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaa [09m33s] # 12809 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:91,nodes:14,pairs:3,completionMax:11us [09m33s] 12809 ab:baa=aab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12809 ab:baa=aab,aabab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12810 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:543,nodes:26,pairs:10,completionMax:36us [09m33s] 12810 ab:baa=aab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12810 ab:baa=aab,aabba=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12811 solved: rounds:5,rules:5,peak:9,longest:7,steps:6,word:0,work:451,nodes:30,pairs:15,completionMax:57us [09m33s] 12811 ab:baa=aab,aabbb=1 infinite;group:a-abbb,b-bbc,c-bbb abc aa=c frequency:2/1 abc:aa=c,ca=ac,cb=bc,bbba=abbb,bbbc=1 [09m33s] from: 12811 ab:baa=aab,aabbb=1 infinite;group:a-abbb,b-bbc,c-bbb to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=b,b=a,c=c [09m33s] # 12812 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:75,nodes:14,pairs:2,completionMax:5us [09m33s] 12812 ab:baa=aab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12812 ab:baa=aab,abaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12813 solved: rounds:2,rules:2,peak:4,longest:6,steps:6,word:0,work:299,nodes:22,pairs:8,completionMax:31us [09m33s] 12813 ab:baa=aab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12813 ab:baa=aab,ababa=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12814 solved: rounds:4,rules:2,peak:7,longest:8,steps:3,word:0,work:673,nodes:34,pairs:19,completionMax:82us [09m33s] 12814 ab:baa=aab,ababb=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12814 ab:baa=aab,ababb=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12815 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:212,nodes:14,pairs:5,completionMax:22us [09m33s] 12815 ab:baa=aab,abbab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12815 ab:baa=aab,abbab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12816 solved: rounds:2,rules:5,peak:6,longest:5,steps:7,word:0,work:324,nodes:27,pairs:14,completionMax:37us [09m33s] 12816 ab:baa=aab,abbba=1 infinite;group:a-abbb,b-bbc,c-bbb abc aa=c frequency:2/1 abc:aa=c,ca=ac,cb=bc,bbba=abbb,bbbc=1 [09m33s] from: 12816 ab:baa=aab,abbba=1 infinite;group:a-abbb,b-bbc,c-bbb to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=b,b=a,c=c [09m33s] # 12817 solved: rounds:1,rules:2,peak:3,longest:5,steps:4,word:0,work:66,nodes:14,pairs:1,completionMax:19us [09m33s] 12817 ab:baa=aab,abbbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12817 ab:baa=aab,abbbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12818 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:96,nodes:14,pairs:3,completionMax:11us [09m33s] 12818 ab:baa=aab,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab ab - - ab:ba=ab,aaabb=1 [09m33s] from: 12818 ab:baa=aab,baaab=1 infinite;commutative:ab:a3b2=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-aabb,b-aaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbb [09m33s] # 12819 solved: rounds:5,rules:5,peak:9,longest:7,steps:6,word:0,work:456,nodes:30,pairs:15,completionMax:55us [09m33s] 12819 ab:baa=aab,baabb=1 infinite;group:a-abbb,b-bbc,c-bbb abc aa=c frequency:2/1 abc:aa=c,ca=ac,cb=bc,bbba=abbb,bbbc=1 [09m33s] from: 12819 ab:baa=aab,baabb=1 infinite;group:a-abbb,b-bbc,c-bbb to: 4275 ab:aaabb=1,aabba=1 infinite;group:a-aac,b-baaa,c-aaa a=b,b=a,c=c [09m33s] # 12820 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:0,work:130,nodes:12,pairs:5,completionMax:13us [09m33s] 12820 ab:baa=aab,babab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb ab - - ab:ba=ab,aabbb=1 [09m33s] from: 12820 ab:baa=aab,babab=1 infinite;commutative:ab:a2b3=1;saturation:ab:a2b3=1;cancellative;smith:0;group:a-abbb,b-aabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbb,b=aa [09m33s] # 12821 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:409,nodes:16,pairs:5,completionMax:32us [09m33s] 12821 ab:baa=aab,babbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12821 ab:baa=aab,babbb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12822 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:431,nodes:18,pairs:9,completionMax:37us [09m33s] 12822 ab:baa=aab,bbabb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb ab - - ab:ba=ab,abbbb=1 [09m33s] from: 12822 ab:baa=aab,bbabb=1 infinite;commutative:ab:ab4=1;saturation:ab:ab4=1;cancellative;smith:0;group:a-bbbb,b-abbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaaa,b=b [09m33s] # 12823 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:0,work:35,nodes:12,pairs:0,completionMax:5us [09m33s] 12823 ab:baa=aab,bbbbb=1 infinite ab - - ab:baa=aab,bbbbb=1 [09m33s] # 12824 solved: rounds:5,rules:8,peak:28,longest:13,steps:18,word:0,work:66916,nodes:142,pairs:207,completionMax:1971us [09m33s] 12824 ab:baa=abb,aaaaa=1 finite:60;idempotents:1,bbbbb;center:1,bbbbb ab - - ab:baa=abb,bbab=aaba,aaaaa=1,babab=aabba,babba=aaaab,babbb=ababa,bbbba=aabbb,bbbbbb=b [09m33s] # 12825 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:100,nodes:14,pairs:6,completionMax:17us [09m33s] 12825 ab:baa=abb,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12825 ab:baa=abb,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12826 solved: rounds:2,rules:2,peak:10,longest:7,steps:8,word:0,work:1783,nodes:36,pairs:36,completionMax:129us [09m33s] 12826 ab:baa=abb,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12826 ab:baa=abb,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12827 solved: rounds:3,rules:2,peak:10,longest:9,steps:7,word:0,work:2269,nodes:46,pairs:31,completionMax:132us [09m33s] 12827 ab:baa=abb,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12827 ab:baa=abb,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12828 solved: rounds:3,rules:2,peak:10,longest:9,steps:7,word:0,work:2274,nodes:46,pairs:31,completionMax:113us [09m33s] 12828 ab:baa=abb,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12828 ab:baa=abb,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12829 solved: rounds:3,rules:2,peak:15,longest:8,steps:6,word:0,work:5896,nodes:60,pairs:122,completionMax:498us [09m33s] 12829 ab:baa=abb,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12829 ab:baa=abb,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12830 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:830,nodes:26,pairs:24,completionMax:71us [09m33s] 12830 ab:baa=abb,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12830 ab:baa=abb,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12831 solved: rounds:3,rules:2,peak:8,longest:7,steps:6,word:0,work:1082,nodes:32,pairs:26,completionMax:70us [09m33s] 12831 ab:baa=abb,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12831 ab:baa=abb,aabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12832 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:835,nodes:26,pairs:24,completionMax:66us [09m33s] 12832 ab:baa=abb,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12832 ab:baa=abb,abaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12833 solved: rounds:3,rules:2,peak:8,longest:7,steps:6,word:0,work:1087,nodes:32,pairs:26,completionMax:90us [09m33s] 12833 ab:baa=abb,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12833 ab:baa=abb,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12834 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:292,nodes:22,pairs:13,completionMax:34us [09m33s] 12834 ab:baa=abb,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12834 ab:baa=abb,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12835 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:0,work:383,nodes:24,pairs:14,completionMax:41us [09m33s] 12835 ab:baa=abb,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12835 ab:baa=abb,ababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12836 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:0,work:388,nodes:24,pairs:14,completionMax:33us [09m33s] 12836 ab:baa=abb,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12836 ab:baa=abb,abbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12837 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:524,nodes:24,pairs:16,completionMax:39us [09m33s] 12837 ab:baa=abb,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12837 ab:baa=abb,abbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12838 solved: rounds:2,rules:2,peak:5,longest:6,steps:7,word:0,work:481,nodes:22,pairs:15,completionMax:34us [09m33s] 12838 ab:baa=abb,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12838 ab:baa=abb,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12839 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:336,nodes:24,pairs:9,completionMax:37us [09m33s] 12839 ab:baa=abb,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12839 ab:baa=abb,abbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12840 solved: rounds:5,rules:2,peak:11,longest:10,steps:6,word:5,work:3760,nodes:32,pairs:82,completionMax:299us [09m33s] 12840 ab:bab=aaa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12840 ab:bab=aaa,aaaaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12841 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:5,work:72,nodes:28,pairs:9,completionMax:33us [09m33s] 12841 ab:bab=aaa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12841 ab:bab=aaa,aaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12842 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:42,nodes:20,pairs:6,completionMax:18us [09m33s] 12842 ab:bab=aaa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12842 ab:bab=aaa,aaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12843 solved: rounds:4,rules:2,peak:6,longest:12,steps:8,word:10,work:1054,nodes:34,pairs:15,completionMax:84us [09m33s] 12843 ab:bab=aaa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12843 ab:bab=aaa,aaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12844 solved: rounds:2,rules:2,peak:7,longest:10,steps:6,word:10,work:662,nodes:28,pairs:13,completionMax:56us [09m33s] 12844 ab:bab=aaa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12844 ab:bab=aaa,aabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12845 solved: rounds:5,rules:2,peak:11,longest:10,steps:6,word:5,work:3690,nodes:32,pairs:79,completionMax:347us [09m33s] 12845 ab:bab=aaa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12845 ab:bab=aaa,aabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12846 solved: rounds:3,rules:2,peak:13,longest:17,steps:18,word:10,work:5606,nodes:60,pairs:76,completionMax:543us [09m33s] 12846 ab:bab=aaa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12846 ab:bab=aaa,aabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12847 solved: rounds:5,rules:3,peak:15,longest:54,steps:42,word:50,work:19834,nodes:138,pairs:85,completionMax:752us [09m33s] 12847 ab:bab=aaa,aabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbbbbbbbbbbb [09m33s] # 12848 solved: rounds:3,rules:2,peak:11,longest:20,steps:40,word:10,work:11143,nodes:90,pairs:64,completionMax:533us [09m33s] 12848 ab:bab=aaa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12848 ab:bab=aaa,abaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12849 solved: rounds:2,rules:2,peak:6,longest:15,steps:17,word:10,work:911,nodes:38,pairs:18,completionMax:78us [09m33s] 12849 ab:bab=aaa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12849 ab:bab=aaa,ababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12850 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:5,work:77,nodes:28,pairs:9,completionMax:26us [09m33s] 12850 ab:bab=aaa,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12850 ab:bab=aaa,ababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12851 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:5,work:43,nodes:20,pairs:6,completionMax:18us [09m33s] 12851 ab:bab=aaa,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12851 ab:bab=aaa,abbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12852 solved: rounds:6,rules:3,peak:11,longest:39,steps:42,word:145,work:12317,nodes:114,pairs:40,completionMax:383us [09m33s] 12852 ab:bab=aaa,abbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbbbbbbbbbbb [09m33s] from: 12852 ab:bab=aaa,abbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb to: 12847 ab:bab=aaa,aabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 12853 solved: rounds:3,rules:2,peak:5,longest:13,steps:5,word:10,work:588,nodes:38,pairs:17,completionMax:75us [09m33s] 12853 ab:bab=aaa,abbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12853 ab:bab=aaa,abbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12854 solved: rounds:4,rules:2,peak:7,longest:12,steps:8,word:10,work:1224,nodes:34,pairs:19,completionMax:109us [09m33s] 12854 ab:bab=aaa,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12854 ab:bab=aaa,baaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12855 solved: rounds:5,rules:3,peak:23,longest:23,steps:25,word:20,work:23681,nodes:110,pairs:244,completionMax:2170us [09m33s] 12855 ab:bab=aaa,baabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbbbbbbbbbbb [09m33s] from: 12855 ab:bab=aaa,baabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb to: 12847 ab:bab=aaa,aabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 12856 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:5,work:77,nodes:28,pairs:9,completionMax:29us [09m33s] 12856 ab:bab=aaa,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12856 ab:bab=aaa,babab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a6;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbb [09m33s] # 12857 solved: rounds:4,rules:2,peak:6,longest:12,steps:8,word:10,work:1049,nodes:34,pairs:15,completionMax:79us [09m33s] 12857 ab:bab=aaa,babbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12857 ab:bab=aaa,babbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12858 solved: rounds:4,rules:2,peak:7,longest:12,steps:8,word:10,work:1219,nodes:34,pairs:19,completionMax:98us [09m33s] 12858 ab:bab=aaa,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12858 ab:bab=aaa,bbabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b6;saturation:a:a10=1;cancellative;smith:10;group:a-bbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbb,b=b [09m33s] # 12859 solved: rounds:9,rules:20,peak:48,longest:24,steps:158,word:25,work:989764,nodes:752,pairs:1295,completionMax:25565us [09m33s] 12859 ab:bab=aaa,bbbbb=1 infinite da/c/b bbbb=c,caacaacaacaac=d frequency:4/2,13/0 abcd:ad=da,ddaa=d,daaa=a,dcdaa=dc,acdaa=ac,ddc=cdd,aac=dcaaaa,ddac=acdd,cdac=dda,dccdaa=dcc,accdaa=acc,cccd=dacdcaaaaa,ccca=dacdcaaaaaaaa,cdcdc=accdddddda,dccc=acdcaaa,accc=cdcaaaaaaa,accacc=cdcacdcaaaaaaaaaaaaaaa,acdcacdc=dccaccdddddda,ccccc=1,b=cccc [09m33s] from: 12859 ab:bab=aaa,bbbbb=1 infinite to: 11590 ab:baaab=a,bbbbb=1 infinite a=a,b=bbbb,c=b,d=c [09m33s] # 12860 solved: rounds:9,rules:45,peak:47,longest:16,steps:28,word:0,work:813048,nodes:306,pairs:611,completionMax:22937us [09m33s] 12860 ab:bab=aba,aaaaa=1 finite:605;idempotents:1,bbbbb;center:1,bbbbb,aabaab,aaaabaabbaab,aaabaaabbaabb,aaaabbbaaaabbb,aaabbaabbbaabb,aaabbaaabbaaabb,aaabbaaabbbaabbb,aaaabbaaabbbaaabb,aaaabaaaabbbaaabbb ab - - ab:bab=aba,aaaaa=1,baaba=abaab,baaaba=abaabb,bbbbba=abbbbb,bbbbbb=b,baaaaba=abaabbb,baabbbb=aaaabba,bbbbaab=abbaaaa,baaabbbb=aaaabbba,baabbaaa=aaabbaab,bbbaabba=abbaabbb,bbbbaaab=abbbaaaa,baaaabbbb=aaaabbbba,baabbaabb=aabbaabba,baabbbaaa=aaabbbaab,bbaabbaab=abbaabbaa,bbbaaabba=abbaaabbb,bbbbaaaab=abbbbaaaa,baaaabbaab=abaaabbaaa,baaabbaaaa=aaaabbaaab,bbaaabbaab=abbaabbbaa,bbbaaaabba=abbaaaabbb,baaaabbaaaa=aaaabbbaaab,baaaabbbaab=abaaabbbaaa,baaabbaabba=abaaabbaabb,baaabbbaaaa=aaaabbaaaab,baabbbaabbb=aaabbaaabba,bbbaaaabbba=abbbaaaabbb,bbbaabbbaab=abbaaabbaaa,baaaabbbaaaa=aaaabbbaaaab,baaabbaaabbb=aaabbbaabbba,bbaaaabbaaab=abbaaabbbaaa,bbbaaabbbaab=abbaaaabbaaa,baaaabbaaabba=abaaabbbaabbb,baaabbaabbbaa=aaabbaabbbaab,baaabbbaaabbb=aaabbbaaabbba,bbaaaabbbaaab=abbaaaabbbaaa,bbaaabbaaabba=abbaaabbaaabb,bbbaaabbbaaab=abbbaaabbbaaa,baaabbaaabbaaa=aaabbaaabbaaab,bbaaabbbaabbba=abbaaabbbaabbb,baaaabbbaaabbba=abaaaabbbaaabbb,baaaabbaaabbbaaa=aaaabbaaabbbaaab,baaaabbaaabbbaab=abaaaabbaaabbbaa [09m33s] # 12861 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:87,nodes:18,pairs:10,completionMax:48us [09m33s] 12861 ab:bab=aba,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12861 ab:bab=aba,aaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12862 solved: rounds:1,rules:2,peak:4,longest:5,steps:2,word:0,work:61,nodes:16,pairs:3,completionMax:20us [09m33s] 12862 ab:bab=aba,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12862 ab:bab=aba,aaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12863 solved: rounds:3,rules:2,peak:13,longest:7,steps:5,word:0,work:3088,nodes:46,pairs:101,completionMax:616us [09m33s] 12863 ab:bab=aba,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12863 ab:bab=aba,aaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12864 solved: rounds:4,rules:2,peak:9,longest:6,steps:5,word:0,work:1431,nodes:22,pairs:30,completionMax:111us [09m33s] 12864 ab:bab=aba,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12864 ab:bab=aba,aabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12865 solved: rounds:1,rules:2,peak:4,longest:5,steps:2,word:0,work:66,nodes:16,pairs:3,completionMax:17us [09m33s] 12865 ab:bab=aba,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12865 ab:bab=aba,aabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12866 solved: rounds:3,rules:2,peak:12,longest:6,steps:7,word:0,work:1704,nodes:32,pairs:64,completionMax:209us [09m33s] 12866 ab:bab=aba,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12866 ab:bab=aba,aabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12867 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:0,work:350,nodes:28,pairs:12,completionMax:44us [09m33s] 12867 ab:bab=aba,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12867 ab:bab=aba,abaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12868 solved: rounds:4,rules:2,peak:9,longest:6,steps:5,word:0,work:1436,nodes:22,pairs:30,completionMax:106us [09m33s] 12868 ab:bab=aba,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12868 ab:bab=aba,ababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12869 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:1950,nodes:36,pairs:52,completionMax:164us [09m33s] 12869 ab:bab=aba,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa ab - - ab:b=a,aaaaa=1 [09m33s] from: 12869 ab:bab=aba,abbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:a=b,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=b [09m33s] # 12870 solved: rounds:1,rules:2,peak:4,longest:15,steps:3,word:10,work:169,nodes:36,pairs:4,completionMax:30us [09m33s] 12870 ab:bbb=aaa,aaaaa=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12870 ab:bbb=aaa,aaaaa=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [09m33s] # 12871 solved: rounds:2,rules:2,peak:5,longest:18,steps:4,word:10,work:675,nodes:38,pairs:8,completionMax:77us [09m33s] 12871 ab:bbb=aaa,aaaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [09m33s] from: 12871 ab:bbb=aaa,aaaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [09m33s] # 12872 solved: rounds:5,rules:2,peak:7,longest:15,steps:6,word:10,work:968,nodes:30,pairs:26,completionMax:92us [09m33s] 12872 ab:bbb=aaa,aaaba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [09m33s] from: 12872 ab:bbb=aaa,aaaba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [09m33s] # 12873 solved: rounds:1,rules:2,peak:4,longest:15,steps:3,word:10,work:164,nodes:36,pairs:4,completionMax:32us [09m33s] 12873 ab:bbb=aaa,aaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12873 ab:bbb=aaa,aaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=aaaaaa [09m33s] # 12874 solved: rounds:5,rules:2,peak:5,longest:15,steps:8,word:10,work:606,nodes:30,pairs:19,completionMax:81us [09m33s] 12874 ab:bbb=aaa,aabaa=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaa [09m33s] from: 12874 ab:bbb=aaa,aabaa=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b11;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=a [09m33s] # 12875 solved: rounds:4,rules:2,peak:10,longest:23,steps:11,word:20,work:5040,nodes:98,pairs:41,completionMax:304us [09m33s] 12875 ab:bbb=aaa,aabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12875 ab:bbb=aaa,aabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=aaaaaa [09m33s] # 12876 solved: rounds:3,rules:2,peak:8,longest:15,steps:8,word:15,work:1557,nodes:44,pairs:42,completionMax:162us [09m33s] 12876 ab:bbb=aaa,aabba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12876 ab:bbb=aaa,aabba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=aaaaaa [09m33s] # 12877 solved: rounds:2,rules:2,peak:8,longest:24,steps:20,word:10,work:5799,nodes:70,pairs:17,completionMax:245us [09m33s] 12877 ab:bbb=aaa,abaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12877 ab:bbb=aaa,abaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=aaaaaa [09m33s] # 12878 solved: rounds:2,rules:2,peak:4,longest:15,steps:9,word:10,work:369,nodes:34,pairs:7,completionMax:39us [09m33s] 12878 ab:bbb=aaa,ababa=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 12878 ab:bbb=aaa,ababa=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a6;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaa,b=aaaaaa [09m33s] # 12879 solved: rounds:3,rules:2,peak:5,longest:15,steps:3,word:5,work:331,nodes:30,pairs:15,completionMax:59us [09m33s] 12879 ab:bbb=aaa,abbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 12879 ab:bbb=aaa,abbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b6;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [09m33s] # 12880 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:8,pairs:1,completionMax:8us [09m33s] 12880 ab:aab=aaa,aaaa=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12880 ab:aab=aaa,aaaa=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12881 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:12,pairs:1,completionMax:8us [09m33s] 12881 ab:aab=aaa,aaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12881 ab:aab=aaa,aaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12882 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:1,completionMax:7us [09m33s] 12882 ab:aab=aaa,aaab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12882 ab:aab=aaa,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12883 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:40,nodes:12,pairs:1,completionMax:6us [09m33s] 12883 ab:aab=aaa,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12883 ab:aab=aaa,aaab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12884 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:1,completionMax:6us [09m33s] 12884 ab:aab=aaa,aaba=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12884 ab:aab=aaa,aaba=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12885 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:40,nodes:12,pairs:1,completionMax:7us [09m33s] 12885 ab:aab=aaa,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12885 ab:aab=aaa,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12886 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:8,pairs:1,completionMax:4us [09m33s] 12886 ab:aab=aaa,aabb=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12886 ab:aab=aaa,aabb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12887 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:44,nodes:12,pairs:1,completionMax:5us [09m33s] 12887 ab:aab=aaa,aabb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12887 ab:aab=aaa,aabb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12888 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:156,nodes:14,pairs:3,completionMax:16us [09m33s] 12888 ab:aab=aaa,abaa=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12888 ab:aab=aaa,abaa=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12889 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:577,nodes:20,pairs:20,completionMax:55us [09m33s] 12889 ab:aab=aaa,abaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12889 ab:aab=aaa,abaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12890 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:241,nodes:14,pairs:4,completionMax:32us [09m33s] 12890 ab:aab=aaa,abab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12890 ab:aab=aaa,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12891 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:3,work:356,nodes:22,pairs:9,completionMax:34us [09m33s] 12891 ab:aab=aaa,abab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12891 ab:aab=aaa,abab=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12892 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:76,nodes:14,pairs:1,completionMax:10us [09m33s] 12892 ab:aab=aaa,abba=a infinite ab - - ab:aab=aaa,abba=a,aaaaa=aa [09m33s] # 12893 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:6,work:653,nodes:26,pairs:12,completionMax:51us [09m33s] 12893 ab:aab=aaa,abba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12893 ab:aab=aaa,abba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12894 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:57,nodes:14,pairs:1,completionMax:8us [09m33s] 12894 ab:aab=aaa,abbb=a infinite ab - - ab:aab=aaa,abbb=a,aaaaa=aa [09m33s] # 12895 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:3,work:88,nodes:12,pairs:3,completionMax:12us [09m33s] 12895 ab:aab=aaa,abbb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12895 ab:aab=aaa,abbb=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12896 solved: rounds:3,rules:3,peak:4,longest:6,steps:1,word:0,work:199,nodes:18,pairs:7,completionMax:26us [09m33s] 12896 ab:aab=aaa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 12896 ab:aab=aaa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 12897 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:620,nodes:18,pairs:18,completionMax:39us [09m33s] 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=aab,bbbb=b [09m33s] # 12898 solved: rounds:3,rules:3,peak:4,longest:6,steps:1,word:0,work:203,nodes:18,pairs:7,completionMax:22us [09m33s] 12898 ab:aab=aaa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 12898 ab:aab=aaa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 12899 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:616,nodes:18,pairs:18,completionMax:54us [09m33s] 12899 ab:aab=aaa,baab=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=aab,bbbb=b [09m33s] from: 12899 ab:aab=aaa,baab=b finite:12;idempotents:1,aab,abb,bbb to: 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb a=a,b=b [09m33s] # 12900 solved: rounds:5,rules:3,peak:7,longest:6,steps:4,word:0,work:641,nodes:22,pairs:7,completionMax:63us [09m33s] 12900 ab:aab=aaa,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 12900 ab:aab=aaa,baba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 12901 solved: rounds:2,rules:3,peak:9,longest:6,steps:6,word:0,work:1335,nodes:20,pairs:19,completionMax:84us [09m33s] 12901 ab:aab=aaa,baba=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=aab,bbbb=b [09m33s] from: 12901 ab:aab=aaa,baba=b finite:12;idempotents:1,aab,abb,bbb to: 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb a=a,b=b [09m33s] # 12902 solved: rounds:2,rules:5,peak:5,longest:6,steps:3,word:0,work:258,nodes:18,pairs:4,completionMax:21us [09m33s] 12902 ab:aab=aaa,babb=a infinite ab - - ab:aab=aaa,baa=aaa,baba=aaaa,babb=a,aaaaaa=aaa [09m33s] # 12903 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:80,nodes:18,pairs:1,completionMax:11us [09m33s] 12903 ab:aab=aaa,babb=b infinite ab - - ab:aab=aaa,babb=b,aaaaaa=aaa [09m33s] # 12904 solved: rounds:4,rules:3,peak:4,longest:6,steps:2,word:0,work:308,nodes:18,pairs:6,completionMax:35us [09m33s] 12904 ab:aab=aaa,bbaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaa=a [09m33s] from: 12904 ab:aab=aaa,bbaa=a infinite to: 2200 ab:ab=aa,bbaa=a infinite a=a,b=b [09m33s] # 12905 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:79,nodes:12,pairs:6,completionMax:12us [09m33s] 12905 ab:aab=aaa,bbaa=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=aab,bbbb=b [09m33s] from: 12905 ab:aab=aaa,bbaa=b finite:12;idempotents:1,aab,abb,bbb to: 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb a=a,b=b [09m33s] # 12906 solved: rounds:4,rules:7,peak:9,longest:8,steps:5,word:0,work:3025,nodes:36,pairs:11,completionMax:107us [09m33s] 12906 ab:aab=aaa,bbab=a infinite ab - - ab:aab=aaa,bbaa=abab,bbab=a,ababa=abaaa,ababb=abaaa,aaaaaa=aaa,abaaaaa=abaa [09m33s] # 12907 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:80,nodes:18,pairs:1,completionMax:6us [09m33s] 12907 ab:aab=aaa,bbab=b infinite ab - - ab:aab=aaa,bbab=b,aaaaaa=aaa [09m33s] # 12908 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:86,nodes:18,pairs:1,completionMax:11us [09m33s] 12908 ab:aab=aaa,bbba=a infinite ab - - ab:aab=aaa,bbba=a,aaaaaa=aaa [09m33s] # 12909 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:636,nodes:18,pairs:19,completionMax:52us [09m33s] 12909 ab:aab=aaa,bbba=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=aab,bbbb=b [09m33s] from: 12909 ab:aab=aaa,bbba=b finite:12;idempotents:1,aab,abb,bbb to: 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb a=a,b=b [09m33s] # 12910 solved: rounds:1,rules:2,peak:2,longest:12,steps:4,word:12,work:593,nodes:24,pairs:3,completionMax:23us [09m33s] 12910 ab:aab=aaa,bbbb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b9,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbbbbbbb,bbbbbbbbbbb;smith:3 b/a - - ab:bbbbbbbbbbbb=bbbbbbbbb,a=bbbb [09m33s] # 12911 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:86,nodes:18,pairs:1,completionMax:11us [09m33s] 12911 ab:aab=aaa,bbbb=b infinite ab - - ab:aab=aaa,bbbb=b,aaaaaa=aaa [09m33s] # 12912 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:7us [09m33s] 12912 ab:aba=aaa,aaaa=a infinite ab - - ab:aba=aaa,aaaa=a [09m33s] from: 12912 ab:aba=aaa,aaaa=a infinite to: 4616 ab:aaaa=a,aaba=a infinite a=a,b=b [09m33s] # 12913 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:46,nodes:12,pairs:1,completionMax:9us [09m33s] 12913 ab:aba=aaa,aaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12913 ab:aba=aaa,aaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12914 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:221,nodes:12,pairs:7,completionMax:42us [09m33s] 12914 ab:aba=aaa,aaab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12914 ab:aba=aaa,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12915 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:3,work:288,nodes:16,pairs:10,completionMax:38us [09m33s] 12915 ab:aba=aaa,aaab=b finite:9;idempotents:1,aaa,aab a/b - - ab:aaaaaa=aaa,ba=aaaaa,aaab=b,bb=ab [09m33s] # 12916 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:44,nodes:10,pairs:0,completionMax:5us [09m33s] 12916 ab:aba=aaa,aaba=a infinite ab - - ab:aba=aaa,aaaa=a [09m33s] from: 12916 ab:aba=aaa,aaba=a infinite to: 4616 ab:aaaa=a,aaba=a infinite a=a,b=b [09m33s] # 12917 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:50,nodes:12,pairs:1,completionMax:8us [09m33s] 12917 ab:aba=aaa,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12917 ab:aba=aaa,aaba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12918 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [09m33s] 12918 ab:aba=aaa,aabb=a infinite ab - - ab:aba=aaa,aabb=a [09m33s] # 12919 solved: rounds:4,rules:4,peak:5,longest:6,steps:3,word:3,work:267,nodes:14,pairs:10,completionMax:34us [09m33s] 12919 ab:aba=aaa,aabb=b finite:9;idempotents:1,aaa,aab a/b - - ab:aaaaaa=aaa,ba=aaaaa,aaab=b,bb=ab [09m33s] from: 12919 ab:aba=aaa,aabb=b finite:9;idempotents:1,aaa,aab to: 12915 ab:aba=aaa,aaab=b finite:9;idempotents:1,aaa,aab a=a,b=b [09m33s] # 12920 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:225,nodes:12,pairs:7,completionMax:33us [09m33s] 12920 ab:aba=aaa,abab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12920 ab:aba=aaa,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12921 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:3,work:292,nodes:16,pairs:10,completionMax:34us [09m33s] 12921 ab:aba=aaa,abab=b finite:9;idempotents:1,aaa,aab a/b - - ab:aaaaaa=aaa,ba=aaaaa,aaab=b,bb=ab [09m33s] from: 12921 ab:aba=aaa,abab=b finite:9;idempotents:1,aaa,aab to: 12915 ab:aba=aaa,aaab=b finite:9;idempotents:1,aaa,aab a=a,b=b [09m33s] # 12922 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:34,nodes:8,pairs:0,completionMax:4us [09m33s] 12922 ab:aba=aaa,abba=a infinite ab - - ab:aba=aaa,abba=a [09m33s] # 12923 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:6,work:1011,nodes:22,pairs:14,completionMax:72us [09m33s] 12923 ab:aba=aaa,abba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaa [09m33s] from: 12923 ab:aba=aaa,abba=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbb [09m33s] # 12924 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:0,completionMax:2us [09m33s] 12924 ab:aba=aaa,abbb=a infinite ab - - ab:aba=aaa,abbb=a [09m33s] # 12925 solved: rounds:4,rules:4,peak:5,longest:6,steps:3,word:3,work:266,nodes:14,pairs:9,completionMax:33us [09m33s] 12925 ab:aba=aaa,abbb=b finite:9;idempotents:1,aaa,aab a/b - - ab:aaaaaa=aaa,ba=aaaaa,aaab=b,bb=ab [09m33s] from: 12925 ab:aba=aaa,abbb=b finite:9;idempotents:1,aaa,aab to: 12915 ab:aba=aaa,aaab=b finite:9;idempotents:1,aaa,aab a=a,b=b [09m33s] # 12926 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:792,nodes:18,pairs:22,completionMax:76us [09m33s] 12926 ab:aba=aaa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 12926 ab:aba=aaa,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 12927 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:226,nodes:22,pairs:4,completionMax:22us [09m33s] 12927 ab:aba=aaa,baab=b infinite ab - - ab:aba=aaa,baab=b,aaaab=ab,baaaa=ba,aaaaaa=aaa [09m33s] # 12928 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:0,work:523,nodes:24,pairs:9,completionMax:37us [09m33s] 12928 ab:aba=aaa,babb=a infinite ab - - ab:aba=aaa,baa=aaa,aabb=aaaa,babb=a,aaaaa=aa [09m33s] # 12929 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:39,nodes:18,pairs:1,completionMax:8us [09m33s] 12929 ab:aba=aaa,babb=b infinite ab - - ab:aba=aaa,babb=b,aaabb=ab [09m33s] # 12930 solved: rounds:1,rules:2,peak:2,longest:12,steps:4,word:12,work:600,nodes:24,pairs:3,completionMax:31us [09m33s] 12930 ab:aba=aaa,bbbb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b9,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbbbbbbb,bbbbbbbbbbb;smith:3 b/a - - ab:bbbbbbbbbbbb=bbbbbbbbb,a=bbbb [09m33s] from: 12930 ab:aba=aaa,bbbb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b9,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbbbbbbb,bbbbbbbbbbb;smith:3 to: 12910 ab:aab=aaa,bbbb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b9,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbbbbbbb,bbbbbbbbbbb;smith:3 a=bbbb,b=b [09m33s] # 12931 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:9us [09m33s] 12931 ab:aba=aaa,bbbb=b infinite ab - - ab:aba=aaa,bbbb=b [09m33s] # 12932 solved: rounds:3,rules:5,peak:6,longest:4,steps:4,word:2,work:120,nodes:18,pairs:7,completionMax:20us [09m33s] 12932 ab:aba=aab,aaaa=a infinite ac/b ab=c frequency:2/0 abc:ca=ac,aaaa=a,aaac=c,ab=c,cb=aacc [09m33s] # 12933 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:3,work:2,nodes:6,pairs:0,completionMax:1us [09m33s] 12933 ab:aba=aab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaaa [09m33s] from: 12933 ab:aba=aab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbbb [09m33s] # 12934 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:1,work:123,nodes:15,pairs:8,completionMax:20us [09m33s] 12934 ab:aba=aab,aaab=a infinite ac/b ab=c frequency:2/0 abc:ca=ac,aac=a,acc=c,ab=c,cb=ccc [09m33s] from: 12934 ab:aba=aab,aaab=a infinite to: 4653 ab:aaab=a,abaa=a infinite a=a,b=b,c=c [09m33s] # 12935 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:83,nodes:12,pairs:3,completionMax:15us [09m33s] 12935 ab:aba=aab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [09m33s] from: 12935 ab:aba=aab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [09m33s] # 12936 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:1,work:119,nodes:15,pairs:8,completionMax:21us [09m33s] 12936 ab:aba=aab,aaba=a infinite ac/b ab=c frequency:2/0 abc:ca=ac,aac=a,acc=c,ab=c,cb=ccc [09m33s] from: 12936 ab:aba=aab,aaba=a infinite to: 4653 ab:aaab=a,abaa=a infinite a=a,b=b,c=c [09m33s] # 12937 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:87,nodes:12,pairs:3,completionMax:13us [09m33s] 12937 ab:aba=aab,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [09m33s] from: 12937 ab:aba=aab,aaba=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [09m33s] # 12938 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:33,nodes:10,pairs:0,completionMax:4us [09m33s] 12938 ab:aba=aab,aabb=a infinite ab - - ab:aba=aab,aabb=a [09m33s] from: 12938 ab:aba=aab,aabb=a infinite to: 4731 ab:aabb=a,abab=a infinite a=a,b=b [09m33s] # 12939 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:75,nodes:12,pairs:1,completionMax:15us [09m33s] 12939 ab:aba=aab,aabb=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=b [09m33s] from: 12939 ab:aba=aab,aabb=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=b,b=a [09m33s] # 12940 solved: rounds:3,rules:5,peak:6,longest:4,steps:3,word:1,work:115,nodes:15,pairs:8,completionMax:28us [09m33s] 12940 ab:aba=aab,abaa=a infinite ac/b ab=c frequency:2/0 abc:ca=ac,aac=a,acc=c,ab=c,cb=ccc [09m33s] from: 12940 ab:aba=aab,abaa=a infinite to: 4653 ab:aaab=a,abaa=a infinite a=a,b=b,c=c [09m33s] # 12941 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:91,nodes:12,pairs:3,completionMax:9us [09m33s] 12941 ab:aba=aab,abaa=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaab=b [09m33s] from: 12941 ab:aba=aab,abaa=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2211 ab:ba=ab,aaab=b infinite;commutative:ab:a3b=b;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [09m33s] # 12942 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:37,nodes:10,pairs:0,completionMax:2us [09m33s] 12942 ab:aba=aab,abab=a infinite ab - - ab:aba=aab,aabb=a [09m33s] from: 12942 ab:aba=aab,abab=a infinite to: 4731 ab:aabb=a,abab=a infinite a=a,b=b [09m33s] # 12943 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:79,nodes:12,pairs:1,completionMax:5us [09m33s] 12943 ab:aba=aab,abab=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=b [09m33s] from: 12943 ab:aba=aab,abab=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=b,b=a [09m33s] # 12944 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:77,nodes:14,pairs:1,completionMax:11us [09m33s] 12944 ab:aba=aab,abba=a infinite ba - - ab:aab=aba,abba=a,ababa=aa [09m33s] # 12945 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:425,nodes:22,pairs:12,completionMax:42us [09m33s] 12945 ab:aba=aab,abba=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=b [09m33s] from: 12945 ab:aba=aab,abba=b infinite;commutative:ab:a2b2=b;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=b,b=a [09m33s] # 12946 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:154,nodes:14,pairs:1,completionMax:8us [09m33s] 12946 ab:aba=aab,abbb=a infinite ab - - ab:aba=aab,abbb=a,aabba=aaabb [09m33s] # 12947 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:164,nodes:14,pairs:1,completionMax:12us [09m33s] 12947 ab:aba=aab,abbb=b infinite ab - - ab:aba=aab,abbb=b,aabba=aaabb [09m33s] # 12948 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:1104,nodes:26,pairs:27,completionMax:96us [09m33s] 12948 ab:aba=aab,baaa=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [09m33s] from: 12948 ab:aba=aab,baaa=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [09m33s] # 12949 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:75,nodes:12,pairs:2,completionMax:9us [09m33s] 12949 ab:aba=aab,baaa=b infinite ba - - ab:bab=bba,aab=aba,baaa=b [09m33s] # 12950 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:535,nodes:22,pairs:9,completionMax:56us [09m33s] 12950 ab:aba=aab,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [09m33s] from: 12950 ab:aba=aab,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [09m33s] # 12951 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:145,nodes:14,pairs:5,completionMax:17us [09m33s] 12951 ab:aba=aab,baab=b infinite ba - - ab:bab=bba,aab=aba,bbaa=b [09m33s] # 12952 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:539,nodes:22,pairs:9,completionMax:44us [09m33s] 12952 ab:aba=aab,baba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [09m33s] from: 12952 ab:aba=aab,baba=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [09m33s] # 12953 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:141,nodes:14,pairs:5,completionMax:13us [09m33s] 12953 ab:aba=aab,baba=b infinite ba - - ab:bab=bba,aab=aba,bbaa=b [09m33s] from: 12953 ab:aba=aab,baba=b infinite to: 12951 ab:aba=aab,baab=b infinite a=a,b=b [09m33s] # 12954 solved: rounds:2,rules:5,peak:6,longest:5,steps:4,word:0,work:528,nodes:20,pairs:9,completionMax:36us [09m33s] 12954 ab:aba=aab,babb=a infinite ab - - ab:aba=aab,baa=aab,babb=a,aabba=aaabb,aabbb=aa [09m33s] # 12955 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:90,nodes:20,pairs:1,completionMax:8us [09m33s] 12955 ab:aba=aab,babb=b infinite ba - - ab:aab=aba,babb=b,ababab=aba [09m33s] # 12956 solved: rounds:5,rules:3,peak:9,longest:7,steps:5,word:0,work:2242,nodes:36,pairs:21,completionMax:116us [09m33s] 12956 ab:aba=aab,bbaa=a infinite ab - - ab:aba=aab,bba=abb,aabb=a [09m33s] # 12957 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:91,nodes:14,pairs:3,completionMax:22us [09m33s] 12957 ab:aba=aab,bbaa=b infinite ba - - ab:bab=bba,aab=aba,bbaa=b [09m33s] from: 12957 ab:aba=aab,bbaa=b infinite to: 12951 ab:aba=aab,baab=b infinite a=a,b=b [09m33s] # 12958 solved: rounds:1,rules:5,peak:5,longest:5,steps:4,word:0,work:350,nodes:18,pairs:3,completionMax:27us [09m33s] 12958 ab:aba=aab,bbab=a infinite ab - - ab:aba=aab,bbaa=aabb,bbab=a,aabba=aaabb,aabbb=aa [09m33s] # 12959 solved: rounds:4,rules:3,peak:4,longest:6,steps:4,word:0,work:379,nodes:26,pairs:4,completionMax:41us [09m33s] 12959 ab:aba=aab,bbab=b infinite ba - - ab:bab=bba,aab=aba,bbba=b [09m33s] # 12960 solved: rounds:2,rules:4,peak:4,longest:7,steps:4,word:0,work:318,nodes:26,pairs:4,completionMax:29us [09m33s] 12960 ab:aba=aab,bbba=a infinite ab - - ab:aba=aab,bbba=a,aabba=aaabb,aaaabbb=aaaa [09m33s] # 12961 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:90,nodes:14,pairs:2,completionMax:10us [09m33s] 12961 ab:aba=aab,bbba=b infinite ba - - ab:bab=bba,aab=aba,bbba=b [09m33s] from: 12961 ab:aba=aab,bbba=b infinite to: 12959 ab:aba=aab,bbab=b infinite a=a,b=b [09m33s] # 12962 solved: rounds:0,rules:1,peak:2,longest:4,steps:3,word:9,work:53,nodes:6,pairs:0,completionMax:6us [09m33s] 12962 ab:aba=aab,bbbb=a infinite;commutative:ab:a=b4;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbbb [09m33s] from: 12962 ab:aba=aab,bbbb=a infinite;commutative:ab:a=b4;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbbb,b=b [09m33s] # 12963 solved: rounds:2,rules:4,peak:4,longest:7,steps:5,word:0,work:517,nodes:26,pairs:3,completionMax:24us [09m33s] 12963 ab:aba=aab,bbbb=b infinite ab - - ab:aba=aab,bbbb=b,aabba=aaabb,aaabbba=aaaabbb [09m33s] # 12964 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 12964 ab:abb=aaa,aaaa=a infinite ab - - ab:abb=aaa,aaaa=a [09m33s] from: 12964 ab:abb=aaa,aaaa=a infinite to: 4618 ab:aaaa=a,aabb=a infinite a=a,b=b [09m33s] # 12965 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:71,nodes:18,pairs:2,completionMax:11us [09m33s] 12965 ab:abb=aaa,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 12965 ab:abb=aaa,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 12966 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:29,nodes:14,pairs:2,completionMax:11us [09m33s] 12966 ab:abb=aaa,aaab=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa [09m33s] from: 12966 ab:abb=aaa,aaab=a infinite to: 4659 ab:aaab=a,abbb=a infinite a=a,b=b [09m33s] # 12967 solved: rounds:3,rules:4,peak:8,longest:7,steps:4,word:3,work:564,nodes:22,pairs:16,completionMax:47us [09m33s] 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] # 12968 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 12968 ab:abb=aaa,aaba=a infinite ab - - ab:abb=aaa,aaba=a [09m33s] # 12969 solved: rounds:3,rules:4,peak:13,longest:8,steps:4,word:6,work:2586,nodes:32,pairs:34,completionMax:217us [09m33s] 12969 ab:abb=aaa,aaba=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 12969 ab:abb=aaa,aaba=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 12970 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:2us [09m33s] 12970 ab:abb=aaa,aabb=a infinite ab - - ab:abb=aaa,aaaa=a [09m33s] from: 12970 ab:abb=aaa,aabb=a infinite to: 4618 ab:aaaa=a,aabb=a infinite a=a,b=b [09m33s] # 12971 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:75,nodes:18,pairs:2,completionMax:9us [09m33s] 12971 ab:abb=aaa,aabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 12971 ab:abb=aaa,aabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 12972 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [09m33s] 12972 ab:abb=aaa,abaa=a infinite ab - - ab:abb=aaa,abaa=a [09m33s] # 12973 solved: rounds:3,rules:4,peak:9,longest:8,steps:4,word:6,work:1581,nodes:28,pairs:42,completionMax:166us [09m33s] 12973 ab:abb=aaa,abaa=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 12973 ab:abb=aaa,abaa=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 12974 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:0,work:214,nodes:14,pairs:5,completionMax:30us [09m33s] 12974 ab:abb=aaa,abab=a infinite ab - - ab:aba=aab,abb=aaa,aaaa=a [09m33s] from: 12974 ab:abb=aaa,abab=a infinite to: 4620 ab:aaaa=a,abab=a infinite a=a,b=b [09m33s] # 12975 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:6,work:229,nodes:22,pairs:14,completionMax:33us [09m33s] 12975 ab:abb=aaa,abab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 12975 ab:abb=aaa,abab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 12976 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [09m33s] 12976 ab:abb=aaa,abba=a infinite ab - - ab:abb=aaa,aaaa=a [09m33s] from: 12976 ab:abb=aaa,abba=a infinite to: 4618 ab:aaaa=a,aabb=a infinite a=a,b=b [09m33s] # 12977 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:75,nodes:18,pairs:2,completionMax:14us [09m33s] 12977 ab:abb=aaa,abba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 12977 ab:abb=aaa,abba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 12978 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:33,nodes:14,pairs:2,completionMax:9us [09m33s] 12978 ab:abb=aaa,abbb=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa [09m33s] from: 12978 ab:abb=aaa,abbb=a infinite to: 4659 ab:aaab=a,abbb=a infinite a=a,b=b [09m33s] # 12979 solved: rounds:3,rules:4,peak:8,longest:7,steps:4,word:3,work:560,nodes:22,pairs:16,completionMax:74us [09m33s] 12979 ab:abb=aaa,abbb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 12979 ab:abb=aaa,abbb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 12980 solved: rounds:4,rules:3,peak:6,longest:8,steps:2,word:3,work:458,nodes:24,pairs:9,completionMax:60us [09m33s] 12980 ab:abb=aaa,baaa=a infinite a/b - - ab:aaaaaaa=a,ba=aaaaa,abb=aaa [09m33s] from: 12980 ab:abb=aaa,baaa=a infinite to: 4671 ab:aaab=a,bbab=a infinite anti:a=a,b=b [09m33s] # 12981 solved: rounds:4,rules:4,peak:9,longest:7,steps:3,word:3,work:1263,nodes:34,pairs:36,completionMax:130us [09m33s] 12981 ab:abb=aaa,baaa=b finite:15;idempotents:1,abb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=abb [09m33s] # 12982 solved: rounds:3,rules:3,peak:11,longest:6,steps:4,word:0,work:1573,nodes:28,pairs:39,completionMax:139us [09m33s] 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] # 12983 solved: rounds:3,rules:5,peak:6,longest:9,steps:3,word:3,work:783,nodes:32,pairs:11,completionMax:69us [09m33s] 12983 ab:abb=aaa,baab=b infinite a/b - - ab:aaaaaaaaa=aaa,abaaa=aaaaaaaa,aaab=aaaaaaa,bb=baaaa,baab=b [09m33s] # 12984 solved: rounds:4,rules:4,peak:5,longest:6,steps:5,word:0,work:535,nodes:26,pairs:10,completionMax:61us [09m33s] 12984 ab:abb=aaa,baba=a infinite a/b - - ab:aaaa=a,aba=baa,bba=aaa,abb=aaa [09m33s] # 12985 solved: rounds:3,rules:4,peak:9,longest:9,steps:4,word:6,work:1452,nodes:34,pairs:28,completionMax:128us [09m33s] 12985 ab:abb=aaa,baba=b finite:15;idempotents:1,baa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaaaa,bb=baaaa [09m33s] # 12986 solved: rounds:4,rules:3,peak:6,longest:8,steps:2,word:3,work:462,nodes:24,pairs:9,completionMax:47us [09m33s] 12986 ab:abb=aaa,babb=a infinite a/b - - ab:aaaaaaa=a,ba=aaaaa,abb=aaa [09m33s] from: 12986 ab:abb=aaa,babb=a infinite to: 4671 ab:aaab=a,bbab=a infinite anti:a=a,b=b [09m33s] # 12987 solved: rounds:4,rules:4,peak:9,longest:7,steps:3,word:3,work:1259,nodes:34,pairs:36,completionMax:118us [09m33s] 12987 ab:abb=aaa,babb=b finite:15;idempotents:1,abb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=abb [09m33s] from: 12987 ab:abb=aaa,babb=b finite:15;idempotents:1,abb,bbbbbb to: 12981 ab:abb=aaa,baaa=b finite:15;idempotents:1,abb,bbbbbb a=a,b=b [09m33s] # 12988 solved: rounds:3,rules:3,peak:7,longest:7,steps:4,word:6,work:1006,nodes:22,pairs:21,completionMax:97us [09m33s] 12988 ab:abb=aaa,bbaa=a infinite b/a - - ab:abbbbbb=a,bba=abb,aa=abbbb [09m33s] # 12989 solved: rounds:2,rules:4,peak:6,longest:9,steps:4,word:6,work:527,nodes:34,pairs:10,completionMax:37us [09m33s] 12989 ab:abb=aaa,bbaa=b finite:15;idempotents:1,baa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaaaa,bb=baaaa [09m33s] from: 12989 ab:abb=aaa,bbaa=b finite:15;idempotents:1,baa,aaaaaa to: 12985 ab:abb=aaa,baba=b finite:15;idempotents:1,baa,aaaaaa a=a,b=b [09m33s] # 12990 solved: rounds:4,rules:3,peak:8,longest:8,steps:4,word:3,work:1007,nodes:26,pairs:28,completionMax:107us [09m33s] 12990 ab:abb=aaa,bbab=a infinite a/b - - ab:aaaaaaa=a,ab=aaaaa,bba=aaa [09m33s] from: 12990 ab:abb=aaa,bbab=a infinite to: 4671 ab:aaab=a,bbab=a infinite a=a,b=b [09m33s] # 12991 solved: rounds:4,rules:4,peak:12,longest:10,steps:9,word:6,work:2561,nodes:50,pairs:27,completionMax:154us [09m33s] 12991 ab:abb=aaa,bbab=b finite:15;idempotents:1,abb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=abb [09m33s] from: 12991 ab:abb=aaa,bbab=b finite:15;idempotents:1,abb,bbbbbb to: 12981 ab:abb=aaa,baaa=b finite:15;idempotents:1,abb,bbbbbb a=a,b=b [09m33s] # 12992 solved: rounds:1,rules:4,peak:4,longest:8,steps:2,word:3,work:158,nodes:24,pairs:2,completionMax:14us [09m33s] 12992 ab:abb=aaa,bbba=a infinite a/b - - ab:aaaaaaaa=aa,aba=aaaaaa,abb=aaa,bbba=a [09m33s] # 12993 solved: rounds:3,rules:4,peak:7,longest:7,steps:3,word:3,work:624,nodes:26,pairs:12,completionMax:63us [09m33s] 12993 ab:abb=aaa,bbba=b finite:15;idempotents:1,abb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=abb [09m33s] from: 12993 ab:abb=aaa,bbba=b finite:15;idempotents:1,abb,bbbbbb to: 12981 ab:abb=aaa,baaa=b finite:15;idempotents:1,abb,bbbbbb a=a,b=b [09m33s] # 12994 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:9,work:249,nodes:24,pairs:3,completionMax:20us [09m33s] 12994 ab:abb=aaa,bbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b4;saturation:a:a6=1;noncancellative:bbbbbbbb,bb,bbbbb,bbbbbbb;smith:6 b/a - - ab:bbbbbbbbbbbb=bbbbbb,a=bbbb [09m33s] from: 12994 ab:abb=aaa,bbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b4;saturation:a:a6=1;noncancellative:bbbbbbbb,bb,bbbbb,bbbbbbb;smith:6 to: 6597 ab:aaa=b,bbbb=bb finite:12;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a6,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaaaa,aaaaaaaa;smith:6 a=aaaa,b=a [09m33s] # 12995 solved: rounds:1,rules:3,peak:4,longest:9,steps:5,word:6,work:178,nodes:26,pairs:2,completionMax:17us [09m33s] 12995 ab:abb=aaa,bbbb=b finite:36;idempotents:1,bbb,aaaaaa,bbaaaa,baaaaaaaa,bbbaaaaaa a/b - - ab:aaaaaaaaa=aaa,ab=aaaaa,bbbb=b [09m33s] # 12996 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 12996 ab:abb=aab,aaaa=a infinite ab - - ab:abb=aab,aaaa=a [09m33s] # 12997 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:3,work:185,nodes:18,pairs:2,completionMax:13us [09m33s] 12997 ab:abb=aab,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaaa [09m33s] from: 12997 ab:abb=aab,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbbb [09m33s] # 12998 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:10,pairs:2,completionMax:11us [09m33s] 12998 ab:abb=aab,aaab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 12998 ab:abb=aab,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 12999 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:10,pairs:2,completionMax:13us [09m33s] 12999 ab:abb=aab,aaab=b infinite ba - - ab:ab=bb,bbbb=b [09m33s] from: 12999 ab:abb=aab,aaab=b infinite to: 4678 ab:aaab=b,aabb=b infinite a=a,b=b [09m33s] # 13000 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [09m33s] 13000 ab:abb=aab,aaba=a infinite ab - - ab:abb=aab,aaba=a [09m33s] # 13001 solved: rounds:4,rules:3,peak:9,longest:5,steps:5,word:0,work:1050,nodes:22,pairs:29,completionMax:65us [09m33s] 13001 ab:abb=aab,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13001 ab:abb=aab,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13002 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:6us [09m33s] 13002 ab:abb=aab,aabb=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 13002 ab:abb=aab,aabb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 13003 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:1us [09m33s] 13003 ab:abb=aab,abaa=a infinite ab - - ab:abb=aab,abaa=a [09m33s] # 13004 solved: rounds:4,rules:3,peak:8,longest:5,steps:6,word:0,work:957,nodes:26,pairs:18,completionMax:103us [09m33s] 13004 ab:abb=aab,abaa=b infinite ba - - ab:ab=bb,baa=bbb,bbbb=b [09m33s] # 13005 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:305,nodes:14,pairs:5,completionMax:41us [09m33s] 13005 ab:abb=aab,abab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 13005 ab:abb=aab,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 13006 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:3us [09m33s] 13006 ab:abb=aab,abba=a infinite ab - - ab:abb=aab,aaba=a [09m33s] from: 13006 ab:abb=aab,abba=a infinite to: 13000 ab:abb=aab,aaba=a infinite a=a,b=b [09m33s] # 13007 solved: rounds:4,rules:3,peak:9,longest:5,steps:5,word:0,work:1046,nodes:22,pairs:29,completionMax:103us [09m33s] 13007 ab:abb=aab,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13007 ab:abb=aab,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13008 solved: rounds:4,rules:3,peak:6,longest:5,steps:2,word:0,work:327,nodes:18,pairs:8,completionMax:50us [09m33s] 13008 ab:abb=aab,baaa=a infinite ab - - ab:ba=aa,abb=aab,aaaa=a [09m33s] # 13009 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:120,nodes:18,pairs:2,completionMax:15us [09m33s] 13009 ab:abb=aab,baaa=b infinite ba - - ab:bab=bbb,aab=abb,baaa=b,bbbbb=bb [09m33s] # 13010 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:181,nodes:14,pairs:6,completionMax:28us [09m33s] 13010 ab:abb=aab,baba=a infinite ab - - ab:ba=aa,abb=aab,aaaa=a [09m33s] from: 13010 ab:abb=aab,baba=a infinite to: 13008 ab:abb=aab,baaa=a infinite a=a,b=b [09m33s] # 13011 solved: rounds:3,rules:4,peak:5,longest:5,steps:3,word:0,work:266,nodes:18,pairs:4,completionMax:37us [09m33s] 13011 ab:abb=aab,bbaa=a infinite ab - - ab:aba=aaa,abb=aab,bba=aaa,aaaa=a [09m33s] # 13012 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 13012 ab:abb=aba,aaaa=a infinite ab - - ab:abb=aba,aaaa=a [09m33s] # 13013 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:3,work:183,nodes:18,pairs:2,completionMax:10us [09m33s] 13013 ab:abb=aba,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaaa [09m33s] from: 13013 ab:abb=aba,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbbb [09m33s] # 13014 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:10,pairs:2,completionMax:7us [09m33s] 13014 ab:abb=aba,aaab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 13014 ab:abb=aba,aaab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 13015 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:150,nodes:24,pairs:6,completionMax:18us [09m33s] 13015 ab:abb=aba,aaab=b infinite ba - - ab:ba=bb,aaab=b,bbbbb=bb [09m33s] from: 13015 ab:abb=aba,aaab=b infinite to: 2204 ab:ab=aa,bbba=a infinite a=b,b=a [09m33s] # 13016 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 13016 ab:abb=aba,aaba=a infinite ab - - ab:abb=aba,aaba=a [09m33s] # 13017 solved: rounds:4,rules:3,peak:7,longest:6,steps:2,word:0,work:632,nodes:26,pairs:22,completionMax:101us [09m33s] 13017 ab:abb=aba,aaba=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [09m33s] from: 13017 ab:abb=aba,aaba=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [09m33s] # 13018 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:10,pairs:0,completionMax:2us [09m33s] 13018 ab:abb=aba,aabb=a infinite ab - - ab:abb=aba,aaba=a [09m33s] from: 13018 ab:abb=aba,aabb=a infinite to: 13016 ab:abb=aba,aaba=a infinite a=a,b=b [09m33s] # 13019 solved: rounds:4,rules:3,peak:7,longest:6,steps:2,word:0,work:628,nodes:26,pairs:22,completionMax:111us [09m33s] 13019 ab:abb=aba,aabb=b infinite ba - - ab:ba=bb,aab=bbb,bbbb=b [09m33s] from: 13019 ab:abb=aba,aabb=b infinite to: 2200 ab:ab=aa,bbaa=a infinite a=b,b=a [09m33s] # 13020 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [09m33s] 13020 ab:abb=aba,abaa=a infinite ab - - ab:abb=aba,abaa=a [09m33s] # 13021 solved: rounds:3,rules:3,peak:6,longest:6,steps:3,word:0,work:684,nodes:18,pairs:18,completionMax:63us [09m33s] 13021 ab:abb=aba,abaa=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13021 ab:abb=aba,abaa=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13022 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:42,nodes:8,pairs:4,completionMax:7us [09m33s] 13022 ab:abb=aba,abab=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 13022 ab:abb=aba,abab=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 13023 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:96,nodes:12,pairs:6,completionMax:16us [09m33s] 13023 ab:abb=aba,abab=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13023 ab:abb=aba,abab=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13024 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:8,pairs:0,completionMax:2us [09m33s] 13024 ab:abb=aba,abba=a infinite ab - - ab:abb=aba,abaa=a [09m33s] from: 13024 ab:abb=aba,abba=a infinite to: 13020 ab:abb=aba,abaa=a infinite a=a,b=b [09m33s] # 13025 solved: rounds:3,rules:3,peak:6,longest:6,steps:3,word:0,work:680,nodes:18,pairs:18,completionMax:89us [09m33s] 13025 ab:abb=aba,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13025 ab:abb=aba,abba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13026 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:46,nodes:8,pairs:4,completionMax:13us [09m33s] 13026 ab:abb=aba,abbb=a infinite ab - - ab:ab=aa,aaaa=a [09m33s] from: 13026 ab:abb=aba,abbb=a infinite to: 2176 ab:ab=aa,aaaa=a infinite a=a,b=b [09m33s] # 13027 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:92,nodes:12,pairs:6,completionMax:20us [09m33s] 13027 ab:abb=aba,abbb=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13027 ab:abb=aba,abbb=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13028 solved: rounds:4,rules:3,peak:6,longest:5,steps:2,word:0,work:331,nodes:18,pairs:10,completionMax:34us [09m33s] 13028 ab:abb=aba,baaa=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13028 ab:abb=aba,baaa=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13029 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:165,nodes:22,pairs:6,completionMax:18us [09m33s] 13029 ab:abb=aba,baaa=b infinite ba - - ab:bba=bbb,aba=abb,baaa=b,bbbbb=bb,abbbb=ab [09m33s] # 13030 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:311,nodes:20,pairs:7,completionMax:31us [09m33s] 13030 ab:abb=aba,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13030 ab:abb=aba,baab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13031 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:131,nodes:16,pairs:6,completionMax:15us [09m33s] 13031 ab:abb=aba,baab=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13031 ab:abb=aba,baab=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13032 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:189,nodes:14,pairs:6,completionMax:30us [09m33s] 13032 ab:abb=aba,baba=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13032 ab:abb=aba,baba=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13033 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:368,nodes:18,pairs:14,completionMax:46us [09m33s] 13033 ab:abb=aba,baba=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13033 ab:abb=aba,baba=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13034 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:193,nodes:14,pairs:6,completionMax:19us [09m33s] 13034 ab:abb=aba,babb=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13034 ab:abb=aba,babb=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13035 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:364,nodes:18,pairs:14,completionMax:55us [09m33s] 13035 ab:abb=aba,babb=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13035 ab:abb=aba,babb=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13036 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:95,nodes:20,pairs:2,completionMax:16us [09m33s] 13036 ab:abb=aba,bbaa=a infinite ab - - ab:abb=aba,bbaa=a,abaaa=aa,ababaa=aba [09m33s] # 13037 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:69,nodes:12,pairs:4,completionMax:18us [09m33s] 13037 ab:abb=aba,bbaa=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13037 ab:abb=aba,bbaa=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13038 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:344,nodes:18,pairs:6,completionMax:38us [09m33s] 13038 ab:abb=aba,bbab=a infinite ab - - ab:ab=aa,bba=aaa,aaaa=a [09m33s] from: 13038 ab:abb=aba,bbab=a infinite to: 2200 ab:ab=aa,bbaa=a infinite a=a,b=b [09m33s] # 13039 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:50,nodes:12,pairs:3,completionMax:15us [09m33s] 13039 ab:abb=aba,bbab=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13039 ab:abb=aba,bbab=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13040 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:239,nodes:18,pairs:8,completionMax:25us [09m33s] 13040 ab:abb=aba,bbba=a infinite ab - - ab:aba=aaa,abb=aaa,bbba=a,aaaaa=aa [09m33s] # 13041 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:146,nodes:16,pairs:7,completionMax:26us [09m33s] 13041 ab:abb=aba,bbba=b infinite ba - - ab:ba=bb,bbbb=b [09m33s] from: 13041 ab:abb=aba,bbba=b infinite to: 2176 ab:ab=aa,aaaa=a infinite a=b,b=a [09m33s] # 13042 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:6,work:196,nodes:18,pairs:2,completionMax:17us [09m33s] 13042 ab:abb=aba,bbbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 b/a - - ab:bbbbbbbbb=bbbbbb,a=bbbb [09m33s] from: 13042 ab:abb=aba,bbbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=bbbb,b=b [09m33s] # 13043 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:143,nodes:16,pairs:3,completionMax:18us [09m33s] 13043 ab:abb=aba,bbbb=b infinite ba - - ab:aba=abb,bbbb=b,abba=abbb,abbba=ab [09m33s] # 13044 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:57,nodes:12,pairs:2,completionMax:12us [09m33s] 13044 ab:baa=aab,aaaa=a infinite;commutative:ab:a4=a;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaa=a [09m33s] from: 13044 ab:baa=aab,aaaa=a infinite;commutative:ab:a4=a;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 2208 ab:ba=ab,aaaa=a infinite;commutative:ab:a4=a;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [09m33s] # 13045 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:3,work:1,nodes:6,pairs:0,completionMax:10us [09m33s] 13045 ab:baa=aab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaaa [09m33s] from: 13045 ab:baa=aab,aaaa=b infinite;commutative:ab:b=a4;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbbb [09m33s] # 13046 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:423,nodes:22,pairs:12,completionMax:45us [09m33s] 13046 ab:baa=aab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [09m33s] from: 13046 ab:baa=aab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [09m33s] # 13047 solved: rounds:2,rules:2,peak:4,longest:8,steps:9,word:6,work:409,nodes:28,pairs:6,completionMax:34us [09m33s] 13047 ab:baa=aab,aaab=b infinite a/b - - ab:baaaaaa=b,ab=baaaa [09m33s] from: 13047 ab:baa=aab,aaab=b infinite to: 4680 ab:aaab=b,abaa=b infinite a=a,b=b [09m33s] # 13048 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:435,nodes:20,pairs:12,completionMax:43us [09m33s] 13048 ab:baa=aab,aaba=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaab=a [09m33s] from: 13048 ab:baa=aab,aaba=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 2210 ab:ba=ab,aaab=a infinite;commutative:ab:a3b=a;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [09m33s] # 13049 solved: rounds:2,rules:2,peak:4,longest:8,steps:9,word:6,work:405,nodes:28,pairs:6,completionMax:31us [09m33s] 13049 ab:baa=aab,aaba=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab [09m33s] from: 13049 ab:baa=aab,aaba=b infinite to: 4680 ab:aaab=b,abaa=b infinite anti:a=a,b=b [09m33s] # 13050 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:2,completionMax:8us [09m33s] 13050 ab:baa=aab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [09m33s] from: 13050 ab:baa=aab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [09m33s] # 13051 solved: rounds:4,rules:6,peak:7,longest:5,steps:5,word:0,work:299,nodes:21,pairs:12,completionMax:37us [09m33s] 13051 ab:baa=aab,aabb=b infinite abc aa=c frequency:2/0 abc:aa=c,ca=ac,cb=bc,bbc=b,bbab=babb,bbac=ba [09m33s] from: 13051 ab:baa=aab,aabb=b infinite to: 4739 ab:aabb=a,bbaa=a infinite a=b,b=a,c=c [09m33s] # 13052 solved: rounds:3,rules:2,peak:4,longest:6,steps:4,word:0,work:362,nodes:20,pairs:12,completionMax:40us [09m33s] 13052 ab:baa=aab,abab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [09m33s] from: 13052 ab:baa=aab,abab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [09m33s] # 13053 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:142,nodes:12,pairs:6,completionMax:16us [09m33s] 13053 ab:baa=aab,abab=b infinite ab - - ab:baa=aab,bab=abb,aabb=b [09m33s] from: 13053 ab:baa=aab,abab=b infinite to: 4737 ab:aabb=a,baba=a infinite a=b,b=a [09m33s] # 13054 solved: rounds:3,rules:9,peak:16,longest:9,steps:8,word:0,work:3291,nodes:69,pairs:49,completionMax:261us [09m33s] 13054 ab:baa=aab,abba=a infinite acb aabbbbb=c frequency:7/0 abc:ca=ac,cb=cc,bc=cc,aab=aac,baa=aac,bac=acc,accc=c,abba=a,aaacc=aa [09m33s] # 13055 solved: rounds:2,rules:6,peak:6,longest:6,steps:4,word:0,work:525,nodes:30,pairs:7,completionMax:36us [09m33s] 13055 ab:baa=aab,abba=b infinite ab - - ab:baa=aab,abba=b,baba=abab,bbba=abbb,aaabb=ba,aababb=bba [09m33s] # 13056 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:12,pairs:0,completionMax:4us [09m33s] 13056 ab:baa=aab,abbb=a infinite ab - - ab:baa=aab,abbb=a [09m33s] # 13057 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:90,nodes:12,pairs:1,completionMax:7us [09m33s] 13057 ab:baa=aab,abbb=b infinite ab - - ab:baa=aab,bab=abb,abbb=b [09m33s] # 13058 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:2,completionMax:6us [09m33s] 13058 ab:baa=aab,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabb=a [09m33s] from: 13058 ab:baa=aab,baab=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 2214 ab:ba=ab,aabb=a infinite;commutative:ab:a2b2=a;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 a=a,b=b [09m33s] # 13059 solved: rounds:4,rules:6,peak:7,longest:5,steps:5,word:0,work:303,nodes:21,pairs:12,completionMax:37us [09m33s] 13059 ab:baa=aab,baab=b infinite abc aa=c frequency:2/0 abc:aa=c,ca=ac,cb=bc,bbc=b,bbab=babb,bbac=ba [09m33s] from: 13059 ab:baa=aab,baab=b infinite to: 4739 ab:aabb=a,bbaa=a infinite a=b,b=a,c=c [09m33s] # 13060 solved: rounds:4,rules:8,peak:9,longest:7,steps:4,word:0,work:1413,nodes:30,pairs:14,completionMax:111us [09m33s] 13060 ab:baa=aab,babb=a infinite ab - - ab:baa=aab,aaba=aaab,baba=aabb,babb=a,aabba=aaabb,aaabbb=aaa,aabbba=aaa,aabbbb=aab [09m33s] # 13061 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:29,nodes:8,pairs:0,completionMax:3us [09m33s] 13061 ab:baa=aab,babb=b infinite ab - - ab:baa=aab,babb=b [09m33s] # 13062 solved: rounds:0,rules:1,peak:2,longest:4,steps:2,word:6,work:20,nodes:6,pairs:0,completionMax:10us [09m33s] 13062 ab:baa=aab,bbbb=a infinite;commutative:ab:a=b4;saturation:a:;cancellative;smith:0 b/a - - ab:a=bbbb [09m33s] from: 13062 ab:baa=aab,bbbb=a infinite;commutative:ab:a=b4;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=bbbb,b=b [09m33s] # 13063 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:35,nodes:10,pairs:0,completionMax:4us [09m33s] 13063 ab:baa=aab,bbbb=b infinite ab - - ab:baa=aab,bbbb=b [09m33s] # 13064 solved: rounds:5,rules:6,peak:7,longest:8,steps:10,word:0,work:2441,nodes:36,pairs:16,completionMax:120us [09m33s] 13064 ab:baa=abb,aaaa=a infinite reversed:ab - - ab:abb=baa,aaaa=a,aaba=bbaa,bbaba=abaaa,bbbbba=ababaa,abababa=bababaa [09m33s] # 13065 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:3,work:181,nodes:18,pairs:2,completionMax:16us [09m33s] 13065 ab:baa=abb,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaaa [09m33s] from: 13065 ab:baa=abb,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbbb [09m33s] # 13066 solved: rounds:2,rules:3,peak:9,longest:6,steps:8,word:0,work:1099,nodes:24,pairs:15,completionMax:59us [09m33s] 13066 ab:baa=abb,aaab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13066 ab:baa=abb,aaab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13067 solved: rounds:3,rules:6,peak:7,longest:8,steps:12,word:0,work:3379,nodes:42,pairs:13,completionMax:179us [09m33s] 13067 ab:baa=abb,aaab=b infinite ab - - ab:baa=abb,aaab=b,bbab=aabb,babbb=aabab,bbbbbb=ababab,bababab=abababb [09m33s] # 13068 solved: rounds:3,rules:3,peak:14,longest:7,steps:7,word:0,work:4814,nodes:44,pairs:91,completionMax:328us [09m33s] 13068 ab:baa=abb,aaba=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13068 ab:baa=abb,aaba=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13069 solved: rounds:5,rules:3,peak:12,longest:6,steps:6,word:0,work:3434,nodes:36,pairs:34,completionMax:182us [09m33s] 13069 ab:baa=abb,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13069 ab:baa=abb,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13070 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:0,work:1109,nodes:36,pairs:30,completionMax:96us [09m33s] 13070 ab:baa=abb,aabb=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13070 ab:baa=abb,aabb=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13071 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:322,nodes:16,pairs:10,completionMax:36us [09m33s] 13071 ab:baa=abb,aabb=b infinite ba - - ab:ab=bb,baa=bbb,bbbb=b [09m33s] from: 13071 ab:baa=abb,aabb=b infinite to: 13004 ab:abb=aab,abaa=b infinite a=a,b=b [09m33s] # 13072 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:0,work:1113,nodes:36,pairs:30,completionMax:77us [09m33s] 13072 ab:baa=abb,abaa=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13072 ab:baa=abb,abaa=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13073 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:318,nodes:16,pairs:10,completionMax:37us [09m33s] 13073 ab:baa=abb,abaa=b infinite ba - - ab:ab=bb,baa=bbb,bbbb=b [09m33s] from: 13073 ab:baa=abb,abaa=b infinite to: 13004 ab:abb=aab,abaa=b infinite a=a,b=b [09m33s] # 13074 solved: rounds:3,rules:3,peak:9,longest:6,steps:6,word:0,work:1014,nodes:28,pairs:22,completionMax:80us [09m33s] 13074 ab:baa=abb,abab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13074 ab:baa=abb,abab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13075 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:0,work:367,nodes:18,pairs:6,completionMax:34us [09m33s] 13075 ab:baa=abb,abab=b infinite ba - - ab:ab=bb,baa=bbb,bbbb=b [09m33s] from: 13075 ab:baa=abb,abab=b infinite to: 13004 ab:abb=aab,abaa=b infinite a=a,b=b [09m33s] # 13076 solved: rounds:4,rules:3,peak:10,longest:8,steps:8,word:0,work:1983,nodes:32,pairs:36,completionMax:126us [09m33s] 13076 ab:baa=abb,abba=a infinite ab - - ab:ba=aa,abb=aaa,aaaa=a [09m33s] from: 13076 ab:baa=abb,abba=a infinite to: 13004 ab:abb=aab,abaa=b infinite a=b,b=a [09m33s] # 13077 solved: rounds:5,rules:6,peak:12,longest:7,steps:7,word:0,work:4526,nodes:48,pairs:38,completionMax:251us [09m33s] 13077 ab:baa=abb,abba=b infinite ab - - ab:baa=abb,bba=aab,aaab=b,babb=aaba,bbbbb=ababa,bababa=ababab [09m33s] from: 13077 ab:baa=abb,abba=b infinite to: 4684 ab:aaab=b,abba=b infinite a=a,b=b [09m33s] # 13078 solved: rounds:5,rules:6,peak:12,longest:7,steps:7,word:0,work:4530,nodes:48,pairs:38,completionMax:229us [09m33s] 13078 ab:baa=abb,abbb=a infinite ba - - ab:abb=baa,aab=bba,bbba=a,abaa=bbab,aaaaa=babab,ababab=bababa [09m33s] from: 13078 ab:baa=abb,abbb=a infinite to: 4684 ab:aaab=b,abba=b infinite a=b,b=a [09m33s] # 13079 solved: rounds:4,rules:3,peak:10,longest:8,steps:8,word:0,work:1987,nodes:32,pairs:36,completionMax:162us [09m33s] 13079 ab:baa=abb,abbb=b infinite ba - - ab:ab=bb,baa=bbb,bbbb=b [09m33s] from: 13079 ab:baa=abb,abbb=b infinite to: 13004 ab:abb=aab,abaa=b infinite a=a,b=b [09m33s] # 13080 solved: rounds:2,rules:3,peak:3,longest:4,steps:4,word:0,work:97,nodes:12,pairs:3,completionMax:15us [09m33s] 13080 ab:bab=aaa,aaaa=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] from: 13080 ab:bab=aaa,aaaa=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 to: 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 a=a,b=b [09m33s] # 13081 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:76,nodes:18,pairs:2,completionMax:16us [09m33s] 13081 ab:bab=aaa,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 13081 ab:bab=aaa,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 13082 solved: rounds:3,rules:3,peak:6,longest:7,steps:2,word:3,work:408,nodes:22,pairs:13,completionMax:57us [09m33s] 13082 ab:bab=aaa,aaab=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa [09m33s] from: 13082 ab:bab=aaa,aaab=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 to: 4667 ab:aaab=a,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a=a,b=b [09m33s] # 13083 solved: rounds:5,rules:4,peak:7,longest:12,steps:4,word:9,work:1787,nodes:34,pairs:36,completionMax:160us [09m33s] 13083 ab:bab=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 13083 ab:bab=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 13084 solved: rounds:3,rules:3,peak:4,longest:8,steps:2,word:3,work:245,nodes:22,pairs:12,completionMax:42us [09m33s] 13084 ab:bab=aaa,aaba=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa [09m33s] from: 13084 ab:bab=aaa,aaba=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 to: 4667 ab:aaab=a,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a=a,b=b [09m33s] # 13085 solved: rounds:3,rules:4,peak:16,longest:12,steps:7,word:6,work:4913,nodes:46,pairs:62,completionMax:419us [09m33s] 13085 ab:bab=aaa,aaba=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 13085 ab:bab=aaa,aaba=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 13086 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:0,work:1636,nodes:22,pairs:47,completionMax:132us [09m33s] 13086 ab:bab=aaa,aabb=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] from: 13086 ab:bab=aaa,aabb=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 to: 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 a=a,b=b [09m33s] # 13087 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:6,work:1134,nodes:40,pairs:22,completionMax:114us [09m33s] 13087 ab:bab=aaa,aabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 13087 ab:bab=aaa,aabb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 13088 solved: rounds:2,rules:3,peak:3,longest:4,steps:4,word:0,work:101,nodes:12,pairs:3,completionMax:15us [09m33s] 13088 ab:bab=aaa,abab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] from: 13088 ab:bab=aaa,abab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 to: 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 a=a,b=b [09m33s] # 13089 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:80,nodes:18,pairs:2,completionMax:10us [09m33s] 13089 ab:bab=aaa,abab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaa [09m33s] from: 13089 ab:bab=aaa,abab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbb [09m33s] # 13090 solved: rounds:3,rules:3,peak:12,longest:6,steps:4,word:0,work:2349,nodes:32,pairs:20,completionMax:147us [09m33s] 13090 ab:bab=aaa,abba=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] from: 13090 ab:bab=aaa,abba=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 to: 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 a=a,b=b [09m33s] # 13091 solved: rounds:3,rules:5,peak:10,longest:11,steps:6,word:3,work:3815,nodes:50,pairs:35,completionMax:194us [09m33s] 13091 ab:bab=aaa,abba=b finite:21;idempotents:1,aaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,aab=baa,bb=abaaa,bab=aaa [09m33s] # 13092 solved: rounds:5,rules:9,peak:16,longest:29,steps:22,word:42,work:37340,nodes:266,pairs:45,completionMax:1540us [09m33s] 13092 ab:bab=aaa,abbb=a infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaa=aa,aaaaaaaaaaaaaaaaaaaaaaaaba=ba,baaaa=aaaab,aabb=aaaaaaaaaaaaaaaaaaaaaaaba,bab=aaa,baab=aaabaaa,bba=aaaaaaaaaaaaaaaaaaaaabaa,baaaba=aaaaaaabaaab,abbb=a [09m33s] # 13093 solved: rounds:3,rules:4,peak:7,longest:7,steps:6,word:6,work:711,nodes:26,pairs:23,completionMax:92us [09m33s] 13093 ab:bab=aaa,abbb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 13093 ab:bab=aaa,abbb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 13094 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:0,work:1321,nodes:22,pairs:29,completionMax:91us [09m33s] 13094 ab:bab=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 ab - - ab:ba=ab,abb=aaa,aaaa=a [09m33s] from: 13094 ab:bab=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 to: 12982 ab:abb=aaa,baab=a infinite;commutative:ab:ab2=a3,a4=a;saturation:a:a6=1;noncancellative:aa,bb,ab,aaab;smith:6 a=a,b=b [09m33s] # 13095 solved: rounds:3,rules:5,peak:7,longest:9,steps:2,word:3,work:745,nodes:28,pairs:20,completionMax:86us [09m33s] 13095 ab:bab=aaa,baab=b infinite a/b - - ab:aaaaaaaaa=aaa,baaa=aaaaaaa,aaab=aaaaaaa,bab=aaa,baab=b [09m33s] # 13096 solved: rounds:3,rules:3,peak:6,longest:7,steps:2,word:3,work:412,nodes:22,pairs:13,completionMax:59us [09m33s] 13096 ab:bab=aaa,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a/b - - ab:aaaaaaa=a,ba=aaaaa,ab=aaaaa [09m33s] from: 13096 ab:bab=aaa,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 to: 4667 ab:aaab=a,babb=a infinite;commutative:ab:a3=ab2,ab3=a;saturation:a:a6=1;noncancellative:aa,bb,ab,a;smith:6 a=a,b=b [09m33s] # 13097 solved: rounds:5,rules:4,peak:7,longest:12,steps:4,word:9,work:1783,nodes:34,pairs:36,completionMax:177us [09m33s] 13097 ab:bab=aaa,babb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 b/a - - ab:bbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbbbb [09m33s] from: 13097 ab:bab=aaa,babb=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 a=a,b=b [09m33s] # 13098 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:9,work:256,nodes:24,pairs:3,completionMax:21us [09m33s] 13098 ab:bab=aaa,bbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b4;saturation:a:a6=1;noncancellative:bbbbbbbb,bb,bbbbb,bbbbbbb;smith:6 b/a - - ab:bbbbbbbbbbbb=bbbbbb,a=bbbb [09m33s] from: 13098 ab:bab=aaa,bbbb=a finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b4;saturation:a:a6=1;noncancellative:bbbbbbbb,bb,bbbbb,bbbbbbb;smith:6 to: 6597 ab:aaa=b,bbbb=bb finite:12;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a6,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaaaa,aaaaaaaa;smith:6 a=aaaa,b=a [09m33s] # 13099 solved: rounds:5,rules:13,peak:18,longest:36,steps:19,word:39,work:65507,nodes:376,pairs:66,completionMax:1988us [09m33s] 13099 ab:bab=aaa,bbbb=b infinite a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaa=aaaaa,abaaaaaaaaaaaaaaaaaaaaaaaaaaaa=abaaaa,aaaab=baaaa,bbaaaaa=abaaaaaaaaaaaaaaaaaaaaaaaaaa,bab=aaa,baabaaaa=aaabaaaaaaa,abbaaaa=aabaaaaaaaaaaaaaaaaaaaaaaaaa,abaaabaaaa=baaabaaaaaaaaaaa,aaabbaaa=baaaa,bbbaaa=aaa,bbaaabaaaa=aabaaaaaaaaaaaaaaaaaaaaaaaaa,aaabbb=aaa,bbbb=b [09m33s] # 13100 solved: rounds:4,rules:8,peak:10,longest:9,steps:9,word:0,work:5297,nodes:52,pairs:23,completionMax:190us [09m33s] 13100 ab:bab=aba,aaaa=a infinite ab - - ab:bab=aba,aaaa=a,baaba=abaab,baaaba=abaabb,abaabbb=abaa,abaaabba=aabaaabb,abaaabbb=abaaa,abaabbaa=aaabaaab [09m33s] # 13101 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:6,work:200,nodes:18,pairs:2,completionMax:12us [09m33s] 13101 ab:bab=aba,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaaa [09m33s] from: 13101 ab:bab=aba,aaaa=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a4;saturation:a:a3=1;noncancellative:a,aaaa,aaaaa,aaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbbb [09m33s] # 13102 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:594,nodes:18,pairs:16,completionMax:47us [09m33s] 13102 ab:bab=aba,aaab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13102 ab:bab=aba,aaab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13103 solved: rounds:4,rules:9,peak:11,longest:7,steps:5,word:0,work:2991,nodes:46,pairs:29,completionMax:134us [09m33s] 13103 ab:bab=aba,aaab=b infinite ab - - ab:bab=aba,aaab=b,bbba=abbb,bbbb=baaa,baaaa=ba,baaba=abaab,baabb=aabba,bbaaa=bb,bbaab=abbaa [09m33s] # 13104 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:199,nodes:16,pairs:10,completionMax:31us [09m33s] 13104 ab:bab=aba,aaba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13104 ab:bab=aba,aaba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13105 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:214,nodes:18,pairs:11,completionMax:24us [09m33s] 13105 ab:bab=aba,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 ba - - ab:ba=bb,ab=bb,bbbb=b [09m33s] from: 13105 ab:bab=aba,aaba=b infinite;commutative:ab:ab=b2,b4=b;saturation:a:a3=1;noncancellative:a,b,bb,bbb;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=b,b=a [09m33s] # 13106 solved: rounds:2,rules:3,peak:10,longest:6,steps:4,word:0,work:1085,nodes:28,pairs:11,completionMax:95us [09m33s] 13106 ab:bab=aba,aabb=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13106 ab:bab=aba,aabb=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13107 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:203,nodes:16,pairs:10,completionMax:28us [09m33s] 13107 ab:bab=aba,abab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13107 ab:bab=aba,abab=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13108 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:472,nodes:22,pairs:11,completionMax:38us [09m33s] 13108 ab:bab=aba,abba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 ab - - ab:ab=aa,ba=aa,aaaa=a [09m33s] from: 13108 ab:bab=aba,abba=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 to: 2192 ab:ab=aa,baaa=a infinite;commutative:ab:ab=a2,a4=a;saturation:a:a3=1;noncancellative:a,b,aa,aaa;smith:3 a=a,b=b [09m33s] # 13109 solved: rounds:4,rules:5,peak:13,longest:11,steps:7,word:3,work:9819,nodes:72,pairs:79,completionMax:548us [09m33s] 13109 ab:bab=aba,abba=b infinite a/b - - ab:baaaaaa=b,aaab=baaa,bb=aabaa,bab=aba,abaab=baaba [09m33s] # 13110 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:127,nodes:20,pairs:3,completionMax:13us [09m33s] 13110 ab:bbb=aaa,aaaa=a infinite ba - - ab:aaa=bbb,bbba=a,abbb=a,bbbbbb=bbb [09m33s] # 13111 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:149,nodes:24,pairs:3,completionMax:16us [09m33s] 13111 ab:bbb=aaa,aaaa=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaa [09m33s] from: 13111 ab:bbb=aaa,aaaa=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaa [09m33s] # 13112 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:153,nodes:24,pairs:3,completionMax:14us [09m33s] 13112 ab:bbb=aaa,aaab=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b4;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbb,bbbbb;smith:9 b/a - - ab:bbbbbbbbbbbb=bbb,a=bbbb [09m33s] from: 13112 ab:bbb=aaa,aaab=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b4;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbb,bbbbb;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaa,b=a [09m33s] # 13113 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:123,nodes:20,pairs:3,completionMax:11us [09m33s] 13113 ab:bbb=aaa,aaab=b infinite ab - - ab:bbb=aaa,aaab=b,baaa=b,aaaaaa=aaa [09m33s] from: 13113 ab:bbb=aaa,aaab=b infinite to: 13110 ab:bbb=aaa,aaaa=a infinite a=b,b=a [09m33s] # 13114 solved: rounds:2,rules:2,peak:7,longest:14,steps:6,word:6,work:1689,nodes:52,pairs:20,completionMax:122us [09m33s] 13114 ab:bbb=aaa,aaba=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b4;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbb,bbbbb;smith:9 b/a - - ab:bbbbbbbbbbbb=bbb,a=bbbb [09m33s] from: 13114 ab:bbb=aaa,aaba=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b4;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbb,bbbbb;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaa,b=a [09m33s] # 13115 solved: rounds:3,rules:3,peak:9,longest:12,steps:16,word:15,work:2762,nodes:42,pairs:32,completionMax:146us [09m33s] 13115 ab:bbb=aaa,aaba=b finite:30;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=abbbbbbb,aaa=bbb [09m33s] # 13116 solved: rounds:2,rules:2,peak:6,longest:12,steps:3,word:12,work:553,nodes:26,pairs:19,completionMax:78us [09m33s] 13116 ab:bbb=aaa,aabb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 b/a - - ab:bbbbbbbbbbbb=bbb,a=bbbbbbb [09m33s] from: 13116 ab:bbb=aaa,aabb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [09m33s] # 13117 solved: rounds:3,rules:2,peak:11,longest:19,steps:14,word:12,work:6902,nodes:62,pairs:23,completionMax:235us [09m33s] 13117 ab:bbb=aaa,abab=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 b/a - - ab:bbbbbbbbbbbb=bbb,a=bbbbbbb [09m33s] from: 13117 ab:bbb=aaa,abab=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b3,a=b7;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaaa,b=a [09m33s] # 13118 solved: rounds:2,rules:5,peak:5,longest:12,steps:3,word:6,work:410,nodes:36,pairs:4,completionMax:28us [09m33s] 13118 ab:bbb=aaa,abba=a infinite a/b - - ab:aaaaaaaaaaaa=aaa,baaa=aaaaaaa,aaab=aaaaaaa,abba=a,bbb=aaa [09m33s] # 13119 solved: rounds:5,rules:6,peak:10,longest:23,steps:12,word:18,work:7740,nodes:118,pairs:28,completionMax:426us [09m33s] 13119 ab:bbb=aaa,abba=b finite:75;idempotents:1,aaaaaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=aaa,baaaaaaaaaaaaaaaaaa=b,aaab=baaa,bb=aabaaaaaaaaaaaaaa,bab=abaaaaaaa,baab=aaaaaaa [09m33s] # 13120 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:134,nodes:10,pairs:1,completionMax:7us [09m33s] 13120 ab:aab=aaa,aba=aa infinite ab - - ab:aab=aaa,aba=aa,aaaa=aaa [09m33s] # 13121 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:101,nodes:8,pairs:5,completionMax:7us [09m33s] 13121 ab:aab=aaa,aba=ab infinite ba - - ab:abb=ab,aba=ab,aaa=aab [09m33s] # 13122 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:4,work:268,nodes:12,pairs:5,completionMax:24us [09m33s] 13122 ab:aab=aaa,aba=ba infinite a/b - - ab:aaaaa=aaaa,ba=aaaa,aab=aaa [09m33s] # 13123 solved: rounds:3,rules:5,peak:6,longest:6,steps:10,word:1,work:1228,nodes:20,pairs:5,completionMax:52us [09m33s] 13123 ab:aab=aaa,aba=bb finite:15;idempotents:1,aaaa;center:1,aaaa,abab,abaaa reversed:a/b - - ab:aaaaa=aaaa,aab=aaa,baaaa=aaaa,bb=aba,baba=abab [09m33s] # 13124 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:10,pairs:1,completionMax:8us [09m33s] 13124 ab:aab=aaa,abb=aa infinite ab - - ab:aab=aaa,abb=aa,aaaa=aaa [09m33s] # 13125 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:120,nodes:10,pairs:1,completionMax:8us [09m33s] 13125 ab:aab=aaa,abb=ab infinite ab - - ab:aab=aaa,abb=ab,aaaa=aaa [09m33s] # 13126 solved: rounds:1,rules:3,peak:3,longest:5,steps:8,word:6,work:415,nodes:12,pairs:3,completionMax:20us [09m33s] 13126 ab:aab=aaa,abb=ba infinite b/a - - ab:ba=abb,aabbb=aabb,aaa=aab [09m33s] # 13127 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:2,work:404,nodes:18,pairs:5,completionMax:25us [09m33s] 13127 ab:aab=aaa,abb=bb infinite a/b - - ab:aaaaa=aaaa,baaaa=aaaa,aab=aaa,bb=aaaa [09m33s] # 13128 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:189,nodes:14,pairs:1,completionMax:10us [09m33s] 13128 ab:aab=aaa,baa=aa infinite ab - - ab:aab=aaa,baa=aa,aaaaa=aaaa [09m33s] # 13129 solved: rounds:4,rules:3,peak:4,longest:5,steps:5,word:2,work:620,nodes:18,pairs:4,completionMax:36us [09m33s] 13129 ab:aab=aaa,baa=ab infinite a/b - - ab:aaaa=aaa,baaa=aaa,ab=baa [09m33s] # 13130 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:255,nodes:14,pairs:3,completionMax:13us [09m33s] 13130 ab:aab=aaa,baa=ba infinite ab - - ab:aab=aaa,baa=ba,bab=ba,aaaaa=aaaa [09m33s] # 13131 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:373,nodes:18,pairs:2,completionMax:16us [09m33s] 13131 ab:aab=aaa,baa=bb infinite a/b - - ab:aaaaa=aaaa,baaaa=baaa,aab=aaa,bb=baa [09m33s] # 13132 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:344,nodes:16,pairs:2,completionMax:15us [09m33s] 13132 ab:aab=aaa,bab=aa infinite ab - - ab:aab=aaa,bab=aa,baaa=aaaa,aaaaa=aaaa [09m33s] # 13133 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:278,nodes:16,pairs:2,completionMax:13us [09m33s] 13133 ab:aab=aaa,bab=ab infinite ab - - ab:aab=aaa,bab=ab,baaa=aaa,aaaaa=aaaa [09m33s] # 13134 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:313,nodes:16,pairs:2,completionMax:15us [09m33s] 13134 ab:aab=aaa,bab=ba infinite ab - - ab:aab=aaa,bab=ba,baaa=baa,aaaaa=aaaa [09m33s] # 13135 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:170,nodes:14,pairs:1,completionMax:11us [09m33s] 13135 ab:aab=aaa,bab=bb infinite ab - - ab:aab=aaa,bab=bb,aaaaa=aaaa [09m33s] # 13136 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:180,nodes:14,pairs:1,completionMax:16us [09m33s] 13136 ab:aab=aaa,bba=aa infinite ab - - ab:aab=aaa,bba=aa,aaaaa=aaaa [09m33s] # 13137 solved: rounds:1,rules:3,peak:3,longest:14,steps:17,word:13,work:854,nodes:30,pairs:2,completionMax:27us [09m33s] 13137 ab:aab=aaa,bba=ab infinite reversed:b/a - - ab:ab=bba,bbbbbbbbbbbbaa=bbbbbbbbaa,aaa=bbbbaa [09m33s] # 13138 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:175,nodes:14,pairs:1,completionMax:18us [09m33s] 13138 ab:aab=aaa,bba=ba infinite ab - - ab:aab=aaa,bba=ba,aaaaa=aaaa [09m33s] # 13139 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:258,nodes:14,pairs:2,completionMax:13us [09m33s] 13139 ab:aab=aaa,bba=bb infinite ab - - ab:aab=aaa,bba=bb,bbb=bb,aaaaa=aaaa [09m33s] # 13140 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:283,nodes:16,pairs:3,completionMax:12us [09m33s] 13140 ab:aab=aaa,bbb=aa infinite ab - - ab:aab=aaa,baa=aaa,bbb=aa,aaaaa=aaaa [09m33s] # 13141 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:3,work:812,nodes:18,pairs:3,completionMax:21us [09m33s] 13141 ab:aab=aaa,bbb=ab finite:17;idempotents:1,bbbbbb;center:1,bbbbb,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=bbbbbb,ab=bbb,bbbbba=bbbbbb,aaa=bbbbb [09m33s] # 13142 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:2,work:684,nodes:22,pairs:3,completionMax:16us [09m33s] 13142 ab:aab=aaa,bbb=ba finite:17;idempotents:1,aabb,bbbbbb,abbbbbb b/a - - ab:bbbbbbb=bbbbbb,ba=bbb,aabbb=aabb,aaa=aab [09m33s] # 13143 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:186,nodes:14,pairs:1,completionMax:7us [09m33s] 13143 ab:aab=aaa,bbb=bb infinite ab - - ab:aab=aaa,bbb=bb,aaaaa=aaaa [09m33s] # 13144 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:19,nodes:6,pairs:0,completionMax:3us [09m33s] 13144 ab:aba=aaa,abb=aa infinite ab - - ab:aba=aaa,abb=aa [09m33s] # 13145 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:19,nodes:6,pairs:0,completionMax:3us [09m33s] 13145 ab:aba=aaa,abb=ab infinite ab - - ab:aba=aaa,abb=ab [09m33s] # 13146 solved: rounds:1,rules:3,peak:3,longest:8,steps:11,word:7,work:495,nodes:18,pairs:2,completionMax:25us [09m33s] 13146 ab:aba=aaa,abb=ba infinite b/a - - ab:ba=abb,aabbbbbb=aabbbb,aaa=aabb [09m33s] # 13147 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:61,nodes:10,pairs:1,completionMax:5us [09m33s] 13147 ab:aba=aaa,abb=bb infinite ab - - ab:aba=aaa,abb=bb,bbb=bb [09m33s] # 13148 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:143,nodes:14,pairs:2,completionMax:9us [09m33s] 13148 ab:aba=aaa,baa=aa infinite ab - - ab:aba=aaa,baa=aa,aaaa=aaa [09m33s] # 13149 solved: rounds:2,rules:3,peak:4,longest:7,steps:6,word:3,work:832,nodes:20,pairs:4,completionMax:32us [09m33s] 13149 ab:aba=aaa,baa=ab infinite a/b - - ab:aaaaa=aaaa,baaa=aaa,ab=baa [09m33s] # 13150 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:172,nodes:14,pairs:2,completionMax:8us [09m33s] 13150 ab:aba=aaa,baa=ba infinite ab - - ab:aba=aaa,baa=ba,aaaa=aaa [09m33s] # 13151 solved: rounds:3,rules:6,peak:6,longest:7,steps:6,word:1,work:1568,nodes:26,pairs:12,completionMax:52us [09m33s] 13151 ab:aba=aaa,baa=bb finite:17;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,baaaaa=baaaa,aba=aaa,aaaab=aaaaaa,bb=baa,baab=baaaa [09m33s] # 13152 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:365,nodes:18,pairs:9,completionMax:30us [09m33s] 13152 ab:aba=aaa,bab=aa infinite ab - - ab:aba=aaa,bab=aa,aaab=aaa,baaa=aaa,aaaaa=aaaa [09m33s] # 13153 solved: rounds:1,rules:4,peak:4,longest:4,steps:7,word:0,work:367,nodes:14,pairs:2,completionMax:24us [09m33s] 13153 ab:aba=aaa,bab=ab infinite ba - - ab:bab=ab,aaa=aba,baab=aab,aaba=abaa [09m33s] # 13154 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:3,work:244,nodes:12,pairs:4,completionMax:34us [09m33s] 13154 ab:aba=aaa,bab=bb infinite a/b - - ab:aba=aaa,bba=baaa,bab=bb,abb=aaab,bbb=baaab [09m33s] # 13155 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:0,work:910,nodes:24,pairs:6,completionMax:39us [09m33s] 13155 ab:aba=aaa,bbb=aa infinite ab - - ab:aba=aaa,baa=aab,bbb=aa,aaab=aaaa,aabba=aaaaa,aaaaaa=aaaaa [09m33s] # 13156 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:2,work:679,nodes:20,pairs:2,completionMax:27us [09m33s] 13156 ab:aba=aaa,bbb=ab finite:17;idempotents:1,bbbbbb,bbbbbba b/a - - ab:bbbbbbb=bbbbbb,ab=bbb,bbbaa=bbbbba,aaa=bbba [09m33s] # 13157 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:3us [09m33s] 13157 ab:aba=aaa,bbb=bb infinite ab - - ab:aba=aaa,bbb=bb [09m33s] # 13158 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:6,pairs:0,completionMax:3us [09m33s] 13158 ab:aba=aab,abb=aa infinite ab - - ab:aba=aab,abb=aa [09m33s] # 13159 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:39,nodes:6,pairs:0,completionMax:3us [09m33s] 13159 ab:aba=aab,abb=ab infinite ab - - ab:aba=aab,abb=ab [09m33s] # 13160 solved: rounds:1,rules:2,peak:2,longest:4,steps:7,word:3,work:172,nodes:10,pairs:3,completionMax:16us [09m33s] 13160 ab:aba=aab,abb=ba infinite b/a - - ab:ba=abb,aabb=aab [09m33s] # 13161 solved: rounds:1,rules:3,peak:3,longest:3,steps:5,word:0,work:62,nodes:10,pairs:1,completionMax:6us [09m33s] 13161 ab:aba=aab,abb=bb infinite ab - - ab:aba=aab,abb=bb,bba=bb [09m33s] # 13162 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:118,nodes:12,pairs:1,completionMax:8us [09m33s] 13162 ab:aba=aab,baa=aa infinite ba - - ab:baa=aa,aab=aba,baba=aba [09m33s] # 13163 solved: rounds:1,rules:2,peak:2,longest:5,steps:8,word:2,work:108,nodes:12,pairs:1,completionMax:14us [09m33s] 13163 ab:aba=aab,baa=ab infinite a/b - - ab:baaaa=baaa,ab=baa [09m33s] # 13164 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:87,nodes:15,pairs:6,completionMax:27us [09m33s] 13164 ab:aba=aab,baa=ba infinite acb ba=c frequency:2/0 abc:ca=c,cb=cc,ba=c,aac=ac,aab=ac [09m33s] # 13165 solved: rounds:1,rules:4,peak:4,longest:5,steps:11,word:2,work:376,nodes:16,pairs:2,completionMax:15us [09m33s] 13165 ab:aba=aab,baa=bb infinite a/b - - ab:aab=aba,bb=baa,baba=baaaa,abab=abaaa [09m33s] # 13166 solved: rounds:2,rules:4,peak:4,longest:5,steps:5,word:0,work:252,nodes:20,pairs:2,completionMax:12us [09m33s] 13166 ab:aba=aab,bab=aa infinite ba - - ab:bab=aa,aab=aba,abaa=baaa,bbaaa=aaaa [09m33s] # 13167 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:35,nodes:10,pairs:0,completionMax:3us [09m33s] 13167 ab:aba=aab,bab=ab infinite ba - - ab:bab=ab,aab=aba [09m33s] # 13168 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:7us [09m33s] 13168 ab:aba=aab,bab=ba infinite ba - - ab:bab=ba,aab=aba [09m33s] # 13169 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:115,nodes:18,pairs:4,completionMax:24us [09m33s] 13169 ab:aba=aab,bab=bb infinite ba - - ab:bab=bb,aab=aba,bbba=bbb,abba=abb [09m33s] # 13170 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:93,nodes:16,pairs:1,completionMax:22us [09m33s] 13170 ab:aba=aab,bba=aa infinite ab - - ab:aba=aab,bba=aa,aaabb=aaaa [09m33s] # 13171 solved: rounds:1,rules:2,peak:2,longest:6,steps:6,word:3,work:108,nodes:14,pairs:1,completionMax:9us [09m33s] 13171 ab:aba=aab,bba=ab infinite reversed:b/a - - ab:ab=bba,bbbbaa=bbaa [09m33s] # 13172 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:115,nodes:16,pairs:1,completionMax:10us [09m33s] 13172 ab:aba=aab,bba=ba infinite ab - - ab:aba=aab,bba=ba,aaabb=aaab [09m33s] # 13173 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:100,nodes:16,pairs:1,completionMax:8us [09m33s] 13173 ab:aba=aab,bba=bb infinite ab - - ab:aba=aab,bba=bb,aaabb=aabb [09m33s] # 13174 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:228,nodes:18,pairs:4,completionMax:16us [09m33s] 13174 ab:aba=aab,bbb=aa infinite b/a - - ab:babbb=abbbb,bbba=abbb,aa=bbb,aba=bbbb [09m33s] # 13175 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:3,work:45,nodes:10,pairs:2,completionMax:7us [09m33s] 13175 ab:aba=aab,bbb=ab infinite b/a - - ab:ab=bbb,bbba=bbbbb [09m33s] # 13176 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:2,work:50,nodes:8,pairs:2,completionMax:10us [09m33s] 13176 ab:aba=aab,bbb=ba infinite b/a - - ab:ba=bbb,aab=abbb [09m33s] # 13177 solved: rounds:1,rules:3,peak:3,longest:5,steps:5,word:0,work:181,nodes:16,pairs:1,completionMax:8us [09m33s] 13177 ab:aba=aab,bbb=bb infinite ab - - ab:aba=aab,bbb=bb,aabba=aaabb [09m33s] # 13178 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:87,nodes:16,pairs:1,completionMax:8us [09m33s] 13178 ab:abb=aaa,baa=aa infinite ab - - ab:abb=aaa,baa=aa,aaaaa=aaa [09m33s] # 13179 solved: rounds:4,rules:3,peak:6,longest:7,steps:11,word:3,work:1911,nodes:34,pairs:13,completionMax:69us [09m33s] 13179 ab:abb=aaa,baa=ab infinite a/b - - ab:aaaa=aaa,ab=baa,bbaaa=aaa [09m33s] # 13180 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:196,nodes:16,pairs:1,completionMax:12us [09m33s] 13180 ab:abb=aaa,baa=ba infinite ab - - ab:abb=aaa,baa=ba,aaaaa=aaaa [09m33s] # 13181 solved: rounds:1,rules:5,peak:5,longest:5,steps:9,word:2,work:521,nodes:20,pairs:4,completionMax:22us [09m33s] 13181 ab:abb=aaa,baa=bb infinite b/a - - ab:bbbb=bbb,bba=babb,ababb=aabb,baa=bb,aaa=abb [09m33s] # 13182 solved: rounds:2,rules:7,peak:7,longest:5,steps:8,word:1,work:1766,nodes:28,pairs:16,completionMax:84us [09m33s] 13182 ab:abb=aaa,bab=aa infinite a/b - - ab:aaaaa=aaaa,baaaa=baaa,abaa=baaa,aab=baaa,bbaaa=aaaa,bab=aa,abb=aaa [09m33s] # 13183 solved: rounds:2,rules:6,peak:6,longest:6,steps:2,word:0,work:400,nodes:20,pairs:6,completionMax:35us [09m33s] 13183 ab:abb=aaa,bab=ab infinite ab - - ab:abb=aaa,bab=ab,baaa=aaa,baab=aab,aaaab=aab,aaaaaa=aaaa [09m33s] # 13184 solved: rounds:2,rules:6,peak:6,longest:6,steps:2,word:0,work:403,nodes:20,pairs:6,completionMax:32us [09m33s] 13184 ab:abb=aaa,bab=ba infinite ab - - ab:abb=aaa,bab=ba,baaa=ba,baab=baa,aaaab=aaaa,aaaaaa=aaaa [09m33s] # 13185 solved: rounds:3,rules:8,peak:9,longest:6,steps:5,word:1,work:2837,nodes:36,pairs:18,completionMax:117us [09m33s] 13185 ab:abb=aaa,bab=bb infinite reversed:a/b - - ab:aaaaaa=aaaaa,aaaab=aaab,aaaba=aaab,abaaa=aaab,abb=aaa,bab=bb,bbaaa=baaab,bbb=baaa [09m33s] # 13186 solved: rounds:1,rules:3,peak:3,longest:7,steps:8,word:4,work:493,nodes:18,pairs:7,completionMax:26us [09m33s] 13186 ab:abb=aaa,bba=aa infinite reversed:b/a - - ab:bbbbbba=bbbba,abb=bbbba,aa=bba [09m33s] # 13187 solved: rounds:2,rules:4,peak:6,longest:13,steps:15,word:8,work:1361,nodes:44,pairs:6,completionMax:42us [09m33s] 13187 ab:abb=aaa,bba=ab infinite reversed:b/a - - ab:bbbbbbbba=bbbbbba,ab=bba,bbbbbbaa=bbbbaa,aaa=bbbba [09m33s] # 13188 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:219,nodes:18,pairs:2,completionMax:18us [09m33s] 13188 ab:abb=aaa,bba=ba infinite a/b - - ab:aaaaaa=aaaa,aba=aaaa,bba=ba,abb=aaa [09m33s] # 13189 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:138,nodes:14,pairs:3,completionMax:13us [09m33s] 13189 ab:abb=aaa,bba=bb infinite ba - - ab:bba=bb,aaa=abb,bbbb=bb,aabb=abb [09m33s] # 13190 solved: rounds:3,rules:5,peak:6,longest:6,steps:6,word:2,work:1410,nodes:28,pairs:13,completionMax:64us [09m33s] 13190 ab:abb=aaa,bbb=aa infinite reversed:b/a - - ab:bbbbbb=bbbbb,bbbba=bbba,bbbab=bbba,abb=bbba,aa=bbb [09m33s] # 13191 solved: rounds:1,rules:4,peak:4,longest:7,steps:4,word:2,work:403,nodes:18,pairs:3,completionMax:19us [09m33s] 13191 ab:abb=aaa,bbb=ab finite:15;idempotents:1,bbbbbb;center:1,bbbb,bbbaa,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,ab=bbb,bbbba=bbbbbb,aaa=bbbb [09m33s] # 13192 solved: rounds:1,rules:5,peak:5,longest:7,steps:3,word:2,work:558,nodes:30,pairs:3,completionMax:25us [09m33s] 13192 ab:abb=aaa,bbb=ba finite:15;idempotents:1,abbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,abbbbbb=abbbb,ba=bbb,aabb=abbbb,aaa=abb [09m33s] # 13193 solved: rounds:1,rules:3,peak:3,longest:4,steps:7,word:0,work:195,nodes:14,pairs:2,completionMax:9us [09m33s] 13193 ab:abb=aaa,bbb=bb infinite b/a - - ab:bbb=bb,abba=aabb,aaa=abb [09m33s] # 13194 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:103,nodes:14,pairs:1,completionMax:8us [09m33s] 13194 ab:abb=aab,baa=aa infinite ab - - ab:abb=aab,baa=aa,aaaa=aaa [09m33s] # 13195 solved: rounds:2,rules:3,peak:3,longest:9,steps:13,word:4,work:301,nodes:28,pairs:2,completionMax:25us [09m33s] 13195 ab:abb=aab,baa=ab infinite a/b - - ab:baaaaaaaa=baaaaaa,ab=baa,bbaaaa=baaaa [09m33s] # 13196 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:7us [09m33s] 13196 ab:abb=aab,baa=ba infinite ab - - ab:abb=aab,baa=ba [09m33s] # 13197 solved: rounds:2,rules:4,peak:4,longest:9,steps:12,word:4,work:669,nodes:26,pairs:6,completionMax:28us [09m33s] 13197 ab:abb=aab,baa=bb infinite a/b - - ab:baaaaaaaa=baaaaaa,aab=abaa,bb=baa,babaa=baaaa [09m33s] # 13198 solved: rounds:2,rules:7,peak:9,longest:5,steps:5,word:0,work:2013,nodes:22,pairs:14,completionMax:83us [09m33s] 13198 ab:abb=aab,bab=aa infinite ab - - ab:abb=aab,bab=aa,aaab=aaaa,abaa=aaaa,baaa=aaaa,baab=aab,aaaaa=aaaa [09m33s] # 13199 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:81,nodes:14,pairs:1,completionMax:10us [09m33s] 13199 ab:abb=aab,bab=ab infinite ba - - ab:bab=ab,aab=abb,abbb=abb [09m33s] # 13200 solved: rounds:1,rules:3,peak:4,longest:4,steps:3,word:0,work:147,nodes:12,pairs:2,completionMax:13us [09m33s] 13200 ab:abb=aab,bab=ba infinite ab - - ab:abb=aab,baa=ba,bab=ba [09m33s] # 13201 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [09m33s] 13201 ab:abb=aab,bab=bb infinite ba - - ab:bab=bb,aab=abb [09m33s] # 13202 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:1,work:548,nodes:16,pairs:3,completionMax:23us [09m33s] 13202 ab:abb=aab,bbb=aa infinite b/a - - ab:bbbbbb=bbbbb,abb=bbbb,bbba=bbbbb,aa=bbb [09m33s] # 13203 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:1,work:131,nodes:12,pairs:1,completionMax:8us [09m33s] 13203 ab:abb=aab,bbb=ab infinite b/a - - ab:bbbbb=bbbb,ab=bbb [09m33s] # 13204 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:1,work:259,nodes:16,pairs:1,completionMax:11us [09m33s] 13204 ab:abb=aab,bbb=ba infinite b/a - - ab:bbbbbb=bbbbb,ba=bbb,aab=abb [09m33s] # 13205 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:10,pairs:0,completionMax:3us [09m33s] 13205 ab:abb=aab,bbb=bb infinite ba - - ab:bbb=bb,aab=abb [09m33s] # 13206 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:94,nodes:14,pairs:1,completionMax:8us [09m33s] 13206 ab:abb=aba,baa=aa infinite ab - - ab:abb=aba,baa=aa,aaaa=aaa [09m33s] # 13207 solved: rounds:5,rules:3,peak:4,longest:7,steps:12,word:3,work:682,nodes:24,pairs:6,completionMax:39us [09m33s] 13207 ab:abb=aba,baa=ab infinite a/b - - ab:baaaa=baaa,ab=baa,bbaaa=baaa [09m33s] # 13208 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:2us [09m33s] 13208 ab:abb=aba,baa=ba infinite ab - - ab:abb=aba,baa=ba [09m33s] # 13209 solved: rounds:2,rules:5,peak:5,longest:5,steps:5,word:0,work:672,nodes:18,pairs:5,completionMax:40us [09m33s] 13209 ab:abb=aba,baa=bb infinite ab - - ab:abb=aba,baa=bb,abab=aba,bbbb=bbba,bbbab=bbba [09m33s] # 13210 solved: rounds:2,rules:6,peak:6,longest:5,steps:7,word:0,work:1003,nodes:20,pairs:8,completionMax:43us [09m33s] 13210 ab:abb=aba,bab=aa infinite ab - - ab:aab=aaa,abb=aba,bab=aa,abaa=aaaa,baaa=aaaa,aaaaa=aaaa [09m33s] # 13211 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:173,nodes:16,pairs:2,completionMax:11us [09m33s] 13211 ab:abb=aba,bab=ab infinite ab - - ab:abb=aba,bab=ab,aaab=aab,baab=aab [09m33s] # 13212 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:77,nodes:10,pairs:3,completionMax:9us [09m33s] 13212 ab:abb=aba,bab=ba infinite ab - - ab:abb=aba,baa=ba,bab=ba [09m33s] # 13213 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:330,nodes:16,pairs:7,completionMax:27us [09m33s] 13213 ab:abb=aba,bab=bb infinite ba - - ab:bba=bbb,bab=bb,aba=abb,bbbb=bbb,abbb=abb [09m33s] # 13214 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:134,nodes:20,pairs:3,completionMax:20us [09m33s] 13214 ab:abb=aba,bba=aa infinite ba - - ab:bba=aa,aba=abb,abbbb=aaa,aaabb=aaaa [09m33s] # 13215 solved: rounds:1,rules:3,peak:3,longest:9,steps:14,word:4,work:414,nodes:24,pairs:2,completionMax:20us [09m33s] 13215 ab:abb=aba,bba=ab infinite reversed:b/a - - ab:bbbbbbbba=bbbbbba,ab=bba,bbaa=bbbba [09m33s] # 13216 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:96,nodes:14,pairs:1,completionMax:5us [09m33s] 13216 ab:abb=aba,bba=ba infinite ba - - ab:bba=ba,aba=abb,abbbb=abb [09m33s] # 13217 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:94,nodes:12,pairs:2,completionMax:5us [09m33s] 13217 ab:abb=aba,bba=bb infinite ba - - ab:bba=bb,aba=abb,bbbb=bbb [09m33s] # 13218 solved: rounds:2,rules:6,peak:6,longest:5,steps:5,word:0,work:689,nodes:20,pairs:9,completionMax:27us [09m33s] 13218 ab:abb=aba,bbb=aa finite:17;idempotents:1,aaaa;center:1,aa,aaaa,aaba,bbaba ab - - ab:abb=aba,baa=aab,bbb=aa,aaab=aaaa,abab=aaa,aaaaa=aaaa [09m33s] # 13219 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:385,nodes:14,pairs:3,completionMax:15us [09m33s] 13219 ab:abb=aba,bbb=ab infinite b/a - - ab:bbbbbb=bbbbb,ab=bbb,bbba=bbbb [09m33s] # 13220 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:1,work:381,nodes:18,pairs:3,completionMax:11us [09m33s] 13220 ab:abb=aba,bbb=ba infinite b/a - - ab:bbbbbb=bbbbb,abbb=abb,ba=bbb [09m33s] # 13221 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:104,nodes:12,pairs:1,completionMax:6us [09m33s] 13221 ab:abb=aba,bbb=bb infinite ba - - ab:bbb=bb,aba=abb,abba=abb [09m33s] 13222 ab:baa=aab,bab=aa hard definitely-infinite [09m33s] # 13223 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:85,nodes:12,pairs:1,completionMax:10us [09m33s] 13223 ab:baa=aab,bab=ab infinite ab - - ab:baa=aab,bab=ab,aabb=aab [09m33s] # 13224 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:6,pairs:0,completionMax:4us [09m33s] 13224 ab:baa=aab,bab=bb infinite ab - - ab:baa=aab,bab=bb [09m33s] # 13225 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:100,nodes:14,pairs:1,completionMax:12us [09m33s] 13225 ab:baa=aab,bba=aa infinite ba - - ab:bba=aa,aab=baa,abaa=baaa [09m33s] # 13226 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:3,work:74,nodes:14,pairs:1,completionMax:9us [09m33s] 13226 ab:baa=aab,bba=ab infinite reversed:b/a - - ab:ab=bba,bbbbaa=baa [09m33s] # 13227 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:10,pairs:0,completionMax:8us [09m33s] 13227 ab:baa=aab,bba=ba infinite ba - - ab:bba=ba,aab=baa [09m33s] # 13228 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:39,nodes:10,pairs:0,completionMax:5us [09m33s] 13228 ab:baa=aab,bba=bb infinite ba - - ab:bba=bb,aab=baa [09m33s] # 13229 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:5us [09m33s] 13229 ab:baa=aab,bbb=aa infinite ab - - ab:baa=aab,bbb=aa [09m33s] # 13230 solved: rounds:0,rules:2,peak:2,longest:3,steps:5,word:3,work:42,nodes:8,pairs:0,completionMax:5us [09m33s] 13230 ab:baa=aab,bbb=ab infinite b/a - - ab:ab=bbb,baa=bbbbb [09m33s] # 13231 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:41,nodes:8,pairs:0,completionMax:4us [09m33s] 13231 ab:baa=aab,bbb=bb infinite ab - - ab:baa=aab,bbb=bb [09m33s] # 13232 solved: rounds:3,rules:5,peak:7,longest:15,steps:26,word:10,work:12863,nodes:42,pairs:22,completionMax:238us [09m33s] 13232 ab:baa=abb,bab=aa infinite reversed:b/a - - ab:bbbbbbab=bbbbbab,abb=bbab,aa=bab,bbaba=bbbbbab,abab=baba [09m33s] # 13233 solved: rounds:2,rules:4,peak:4,longest:4,steps:4,word:0,work:195,nodes:16,pairs:5,completionMax:19us [09m33s] 13233 ab:baa=abb,bab=ab infinite ab - - ab:baa=abb,bab=ab,aaab=aab,abbb=aab [09m33s] # 13234 solved: rounds:2,rules:3,peak:6,longest:4,steps:5,word:1,work:502,nodes:16,pairs:4,completionMax:32us [09m33s] 13234 ab:baa=abb,bab=ba infinite b/a - - ab:abbb=abb,ba=abb,aabb=abb [09m33s] # 13235 solved: rounds:4,rules:4,peak:5,longest:5,steps:4,word:0,work:705,nodes:20,pairs:5,completionMax:45us [09m33s] 13235 ab:baa=abb,bab=bb infinite ab - - ab:baa=abb,bab=bb,abbb=bbb,bbbb=bbb [09m33s] # 13236 solved: rounds:2,rules:4,peak:4,longest:6,steps:10,word:2,work:612,nodes:22,pairs:5,completionMax:23us [09m33s] 13236 ab:baa=abb,bba=aa infinite reversed:b/a - - ab:bbbbba=bbbba,abb=bbba,aa=bba,bbbaba=bbbba [09m33s] # 13237 solved: rounds:1,rules:3,peak:4,longest:9,steps:19,word:8,work:884,nodes:22,pairs:2,completionMax:21us [09m33s] 13237 ab:baa=abb,bba=ab infinite reversed:b/a - - ab:bbbbbbba=bbbbbba,ab=bba,baa=bbbba [09m33s] # 13238 solved: rounds:1,rules:4,peak:4,longest:6,steps:9,word:2,work:340,nodes:18,pairs:2,completionMax:21us [09m33s] 13238 ab:baa=abb,bba=ba infinite a/b - - ab:baaaaa=baaa,aba=baaa,bba=ba,abb=baa [09m33s] # 13239 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:181,nodes:12,pairs:3,completionMax:15us [09m33s] 13239 ab:baa=abb,bba=bb infinite ab - - ab:baa=abb,bba=bb,babb=bb,bbbb=bbb [09m33s] # 13240 solved: rounds:2,rules:4,peak:4,longest:6,steps:5,word:2,work:464,nodes:16,pairs:5,completionMax:28us [09m33s] 13240 ab:baa=abb,bbb=aa infinite b/a - - ab:bbbbbb=bbbbb,abb=bbbb,bbba=bbbbb,aa=bbb [09m33s] from: 13240 ab:baa=abb,bbb=aa infinite to: 13202 ab:abb=aab,bbb=aa infinite a=a,b=b [09m33s] # 13241 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:282,nodes:16,pairs:1,completionMax:14us [09m33s] 13241 ab:baa=abb,bbb=ab infinite b/a - - ab:bbbbbb=bbbbb,ab=bbb,baa=bbbb [09m33s] # 13242 solved: rounds:2,rules:3,peak:3,longest:6,steps:5,word:2,work:332,nodes:16,pairs:2,completionMax:16us [09m33s] 13242 ab:baa=abb,bbb=ba infinite b/a - - ab:bbbbbb=bbbbb,abb=bbbbb,ba=bbb [09m33s] # 13243 solved: rounds:1,rules:7,peak:7,longest:3,steps:2,word:0,work:124,nodes:15,pairs:7,completionMax:22us [09m33s] 13243 ab:baa=abb,bbb=bb infinite cab bb=c frequency:2/0 abc:cc=c,cb=c,bc=c,bb=c,caa=cac,bac=cac,baa=ac [09m33s] # 13244 solved: rounds:2,rules:6,peak:9,longest:7,steps:6,word:2,work:3113,nodes:34,pairs:16,completionMax:166us [09m33s] 13244 ab:bab=aaa,bba=aa infinite a/b - - ab:aaaaa=aaaa,baaaa=baaa,abaaa=baaa,aab=baaa,bba=aa,bab=aaa [09m33s] # 13245 solved: rounds:2,rules:4,peak:5,longest:12,steps:13,word:11,work:966,nodes:38,pairs:4,completionMax:49us [09m33s] 13245 ab:bab=aaa,bba=ab infinite reversed:b/a - - ab:bbbbbbbba=bbbbba,ab=bba,bbbbbbaa=bbbaa,aaa=bbba [09m33s] # 13246 solved: rounds:2,rules:4,peak:4,longest:6,steps:10,word:0,work:469,nodes:22,pairs:3,completionMax:33us [09m33s] 13246 ab:bab=aaa,bba=ba infinite ba - - ab:bba=ba,aaa=bab,abab=baba,babaab=babaa [09m33s] # 13247 solved: rounds:4,rules:6,peak:12,longest:7,steps:7,word:4,work:6048,nodes:34,pairs:33,completionMax:198us [09m33s] 13247 ab:bab=aaa,bba=bb infinite a/b - - ab:aaaaaaa=aaaaaa,baaaa=baaa,abaaa=baaa,aaab=baaa,bb=aaaaaa,bab=aaa [09m33s] # 13248 solved: rounds:2,rules:5,peak:5,longest:10,steps:7,word:3,work:1173,nodes:36,pairs:9,completionMax:61us [09m33s] 13248 ab:bab=aaa,bbb=aa finite:21;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbbbbb,abbbbbbb=abbbb,bab=abbb,bbba=abbb,aa=bbb [09m33s] # 13249 solved: rounds:1,rules:4,peak:4,longest:7,steps:4,word:3,work:421,nodes:18,pairs:3,completionMax:23us [09m33s] 13249 ab:bab=aaa,bbb=ab finite:15;idempotents:1,bbbbbb;center:1,bbbb,bbbaa,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,ab=bbb,bbbba=bbbbbb,aaa=bbbb [09m33s] from: 13249 ab:bab=aaa,bbb=ab finite:15;idempotents:1,bbbbbb;center:1,bbbb,bbbaa,bbbbb,bbbbbb to: 13191 ab:abb=aaa,bbb=ab finite:15;idempotents:1,bbbbbb;center:1,bbbb,bbbaa,bbbbb,bbbbbb a=a,b=b [09m33s] 13250 ab:bab=aaa,bbb=bb hard definitely-infinite [09m33s] # 13251 solved: rounds:2,rules:5,peak:5,longest:8,steps:8,word:2,work:1492,nodes:26,pairs:5,completionMax:49us [09m33s] 13251 ab:bab=aab,bbb=aa finite:16;idempotents:1,bbbbbbb;center:1,aba,bbb,abba,abbb,bbbb,bbbbb,bbbbbb,bbbbbbb b/a - - ab:bbbbbbbb=bbbbbbb,abbbb=bbbbbb,bab=bbbb,bbba=abbb,aa=bbb [09m33s] # 13252 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:1,work:132,nodes:12,pairs:1,completionMax:8us [09m33s] 13252 ab:bab=aab,bbb=ab infinite b/a - - ab:bbbbb=bbbb,ab=bbb [09m33s] from: 13252 ab:bab=aab,bbb=ab infinite to: 13203 ab:abb=aab,bbb=ab infinite a=a,b=b [09m33s] # 13253 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:284,nodes:16,pairs:1,completionMax:17us [09m33s] 13253 ab:bab=aab,bbb=ba infinite b/a - - ab:bbbbbb=bbbbb,ba=bbb,aab=bbbb [09m33s] from: 13253 ab:bab=aab,bbb=ba infinite to: 13241 ab:baa=abb,bbb=ab infinite anti:a=a,b=b [09m33s] # 13254 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:7us [09m33s] 13254 ab:bab=aab,bbb=bb infinite ba - - ab:bbb=bb,aab=bab [09m33s] # 13255 solved: rounds:2,rules:5,peak:6,longest:6,steps:7,word:2,work:1320,nodes:24,pairs:15,completionMax:74us [09m33s] 13255 ab:bab=aba,bba=aa infinite a/b - - ab:aaaaa=aaaa,baaa=aaaa,aab=abaa,bba=aa,bab=aba [09m33s] # 13256 solved: rounds:1,rules:3,peak:4,longest:8,steps:15,word:5,work:703,nodes:22,pairs:3,completionMax:27us [09m33s] 13256 ab:bab=aba,bba=ab infinite reversed:b/a - - ab:bbbbbba=bbbbba,ab=bba,bbaa=bbba [09m33s] # 13257 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:127,nodes:14,pairs:1,completionMax:8us [09m33s] 13257 ab:bab=aba,bba=ba infinite ba - - ab:bba=ba,aba=bab,babb=bab [09m33s] # 13258 solved: rounds:2,rules:5,peak:5,longest:4,steps:5,word:0,work:441,nodes:18,pairs:7,completionMax:36us [09m33s] 13258 ab:bab=aba,bba=bb infinite ba - - ab:bba=bb,aba=bab,bbbb=bbb,babb=bbb,abbb=bbb [09m33s] # 13259 solved: rounds:2,rules:7,peak:11,longest:9,steps:12,word:3,work:11925,nodes:36,pairs:21,completionMax:229us [09m33s] 13259 ab:bab=aba,bbb=aa finite:16;idempotents:1,bbbbbbb;center:1,bab,bbb,abba,abbb,bbbb,bbbbb,bbbbbb,bbbbbbb b/a - - ab:bbbbbbbb=bbbbbbb,abbbb=bbbbbbb,babb=bbbbbbb,bbab=bbbbbbb,bbba=abbb,aa=bbb,aba=bab [09m33s] # 13260 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:389,nodes:14,pairs:3,completionMax:15us [09m33s] 13260 ab:bab=aba,bbb=ab infinite b/a - - ab:bbbbbb=bbbbb,ab=bbb,bbba=bbbb [09m33s] from: 13260 ab:bab=aba,bbb=ab infinite to: 13219 ab:abb=aba,bbb=ab infinite a=a,b=b [09m33s] # 13261 solved: rounds:2,rules:4,peak:4,longest:6,steps:7,word:0,work:419,nodes:22,pairs:4,completionMax:23us [09m33s] 13261 ab:bab=aba,bbb=bb infinite ba - - ab:bbb=bb,aba=bab,abbab=babba,babbaa=babba [09m33s] # 13262 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:49,nodes:12,pairs:1,completionMax:6us [09m33s] 13262 ab:bab=abb,bbb=aa infinite b/a - - ab:bab=abb,bbba=abbb,aa=bbb [09m33s] # 13263 solved: rounds:0,rules:1,peak:2,longest:3,steps:4,word:2,work:51,nodes:8,pairs:0,completionMax:14us [09m33s] 13263 ab:bab=abb,bbb=ab infinite b/a - - ab:ab=bbb [09m33s] # 13264 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:2,work:30,nodes:8,pairs:3,completionMax:16us [09m33s] 13264 ab:bab=abb,bbb=ba infinite b/a - - ab:abb=bbbb,ba=bbb [09m33s] # 13265 solved: rounds:3,rules:6,peak:6,longest:3,steps:4,word:0,work:196,nodes:21,pairs:6,completionMax:30us [09m33s] 13265 ab:bab=abb,bbb=bb infinite bca ab=c frequency:2/0 abc:cb=bc,ab=c,bbb=bb,bbc=bc,bcc=cc,acc=ccc [09m33s] # 13266 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:428,nodes:20,pairs:6,completionMax:31us [09m33s] 13266 ab:bab=baa,bba=aa infinite ab - - ab:aab=aaa,bab=baa,bba=aa,aaaaa=aaaa,baaaa=baaa [09m33s] # 13267 solved: rounds:1,rules:3,peak:3,longest:8,steps:12,word:5,work:265,nodes:20,pairs:2,completionMax:12us [09m33s] 13267 ab:bab=baa,bba=ab infinite reversed:b/a - - ab:bbbbbbba=bbbbba,ab=bba,baa=bbba [09m33s] # 13268 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [09m33s] 13268 ab:bab=baa,bba=ba infinite ba - - ab:bba=ba,baa=bab [09m33s] # 13269 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:57,nodes:8,pairs:1,completionMax:7us [09m33s] 13269 ab:bab=baa,bba=bb infinite ba - - ab:bbb=bb,bba=bb,baa=bab [09m33s] # 13270 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:79,nodes:12,pairs:1,completionMax:7us [09m33s] 13270 ab:bba=abb,bbb=aa infinite b/a - - ab:babb=abbb,bba=abb,aa=bbb [09m33s] # 13271 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:2,work:21,nodes:8,pairs:0,completionMax:3us [09m33s] 13271 ab:bba=abb,bbb=ab infinite b/a - - ab:ab=bbb,bba=bbbb [09m33s] # 13272 solved: rounds:2,rules:7,peak:7,longest:3,steps:3,word:0,work:156,nodes:18,pairs:11,completionMax:20us [09m33s] 13272 ab:bba=abb,bbb=bb infinite cab abb=c frequency:3/1 abc:ca=cc,cb=c,ac=cc,bc=c,abb=c,bba=c,bbb=bb [09m33s] # 13273 solved: rounds:0,rules:1,peak:2,longest:5,steps:4,word:0,work:45,nodes:10,pairs:0,completionMax:6us [09m33s] 13273 ab:aaaaa=1,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [09m33s] from: 13273 ab:aaaaa=1,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [09m33s] # 13274 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:0,completionMax:4us [09m33s] 13274 ab:aaaaa=1,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 13274 ab:aaaaa=1,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=1 [09m33s] # 13275 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:109,nodes:14,pairs:13,completionMax:20us [09m33s] 13275 ab:aaaaa=1,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 13275 ab:aaaaa=1,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=1 [09m33s] # 13276 solved: rounds:2,rules:2,peak:3,longest:10,steps:4,word:4,work:271,nodes:20,pairs:13,completionMax:23us [09m33s] 13276 ab:aaaaa=1,aaaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13276 ab:aaaaa=1,aaaabb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13277 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:141,nodes:18,pairs:16,completionMax:32us [09m33s] 13277 ab:aaaaa=1,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 13277 ab:aaaaa=1,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=1 [09m33s] # 13278 solved: rounds:4,rules:2,peak:9,longest:11,steps:29,word:2,work:9557,nodes:66,pairs:66,completionMax:461us [09m33s] 13278 ab:aaaaa=1,aaabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13278 ab:aaaaa=1,aaabab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13279 solved: rounds:3,rules:2,peak:6,longest:10,steps:8,word:3,work:1343,nodes:32,pairs:30,completionMax:96us [09m33s] 13279 ab:aaaaa=1,aaabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13279 ab:aaaaa=1,aaabba=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13280 solved: rounds:2,rules:2,peak:4,longest:15,steps:10,word:8,work:720,nodes:32,pairs:17,completionMax:51us [09m33s] 13280 ab:aaaaa=1,aaabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbb [09m33s] from: 13280 ab:aaaaa=1,aaabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaa,b=a [09m33s] # 13281 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:34,nodes:22,pairs:2,completionMax:13us [09m33s] 13281 ab:aaaaa=1,aabaab=1 infinite;group:a-aaaa,b-aabaa ab - - ab:baab=aaa,aaaaa=1 [09m33s] # 13282 solved: rounds:3,rules:2,peak:10,longest:10,steps:13,word:3,work:5215,nodes:54,pairs:95,completionMax:295us [09m33s] 13282 ab:aaaaa=1,aababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13282 ab:aaaaa=1,aababa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13283 solved: rounds:6,rules:12,peak:34,longest:21,steps:11,word:23,work:148069,nodes:202,pairs:959,completionMax:12218us [09m33s] 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbbbba=abbbbb,abbba=bbbbabbbbbbbb,abbbba=bbabbbbbbbbbbb,baa=abbabbbbbbbbbbbbbb,babba=ababb,bbbaba=aabbbb,aaa=babb,aaba=bbbbbbbbbbbbb,aabba=bababbbbbbbbb,ababa=bbbabb,abbaba=bbababbbbbbbbb [09m33s] # 13284 solved: rounds:2,rules:2,peak:7,longest:12,steps:8,word:3,work:1809,nodes:40,pairs:35,completionMax:118us [09m33s] 13284 ab:aaaaa=1,aabbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13284 ab:aaaaa=1,aabbaa=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13285 solved: rounds:6,rules:12,peak:37,longest:23,steps:12,word:23,work:140824,nodes:218,pairs:593,completionMax:8696us [09m33s] 13285 ab:aaaaa=1,aabbab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-bbaba,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,abbbbb=bbbbba,abbba=bbbbbbbbabbbb,abbbba=bbbbbbbbbbbabb,aab=bbbbbbbbbbbbbbabba,abbab=bbaba,ababbb=bbbbaa,aaa=bbab,abaa=bbbbbbbbbbbbb,abbaa=bbbbbbbbbabab,ababa=bbabbb,ababba=bbbbbbbbbababb [09m33s] from: 13285 ab:aaaaa=1,aabbab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-bbaba,b-bbbbbbbbbbbbbb to: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 13286 solved: rounds:4,rules:2,peak:6,longest:15,steps:5,word:8,work:796,nodes:30,pairs:30,completionMax:158us [09m33s] 13286 ab:aaaaa=1,aabbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbb [09m33s] from: 13286 ab:aaaaa=1,aabbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaa,b=a [09m33s] # 13287 solved: rounds:3,rules:2,peak:5,longest:29,steps:10,word:21,work:2211,nodes:68,pairs:13,completionMax:152us [09m33s] 13287 ab:aaaaa=1,aabbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbb [09m33s] from: 13287 ab:aaaaa=1,aabbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbb,b=b [09m33s] # 13288 solved: rounds:3,rules:2,peak:8,longest:12,steps:7,word:5,work:2384,nodes:58,pairs:39,completionMax:202us [09m33s] 13288 ab:aaaaa=1,abaaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13288 ab:aaaaa=1,abaaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13289 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:224,nodes:26,pairs:7,completionMax:29us [09m33s] 13289 ab:aaaaa=1,abaaba=1 infinite;group:a-aaaa,b-aabaa ab - - ab:baab=aaa,aaaaa=1 [09m33s] from: 13289 ab:aaaaa=1,abaaba=1 infinite;group:a-aaaa,b-aabaa to: 13281 ab:aaaaa=1,aabaab=1 infinite;group:a-aaaa,b-aabaa a=a,b=b [09m33s] # 13290 solved: rounds:7,rules:12,peak:31,longest:29,steps:13,word:23,work:122723,nodes:238,pairs:366,completionMax:4845us [09m33s] 13290 ab:aaaaa=1,abaabb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-bbaba,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,abbbbb=bbbbba,abbba=bbbbbbbbabbbb,abbbba=bbbbbbbbbbbabb,aab=bbbbbbbbbbbbbbabba,abbab=bbaba,ababbb=bbbbaa,aaa=bbab,abaa=bbbbbbbbbbbbb,abbaa=bbbbbbbbbabab,ababa=bbabbb,ababba=bbbbbbbbbababb [09m33s] from: 13290 ab:aaaaa=1,abaabb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-bbaba,b-bbbbbbbbbbbbbb to: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 13291 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:55,nodes:26,pairs:1,completionMax:15us [09m33s] 13291 ab:aaaaa=1,ababab=1 infinite;group:a-aaaa,b-ababa ab - - ab:aaaaa=1,babab=aaaa [09m33s] # 13292 solved: rounds:7,rules:12,peak:40,longest:19,steps:17,word:23,work:189307,nodes:240,pairs:709,completionMax:10204us [09m33s] 13292 ab:aaaaa=1,ababba=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbbbba=abbbbb,abbba=bbbbabbbbbbbb,abbbba=bbabbbbbbbbbbb,baa=abbabbbbbbbbbbbbbb,babba=ababb,bbbaba=aabbbb,aaa=babb,aaba=bbbbbbbbbbbbb,aabba=bababbbbbbbbb,ababa=bbbabb,abbaba=bbababbbbbbbbb [09m33s] from: 13292 ab:aaaaa=1,ababba=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb to: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 13293 solved: rounds:6,rules:4,peak:8,longest:21,steps:22,word:14,work:10524,nodes:82,pairs:46,completionMax:383us [09m33s] 13293 ab:aaaaa=1,ababbb=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbbbbbb,aaa=baabbbbbbb [09m33s] # 13294 solved: rounds:5,rules:12,peak:34,longest:19,steps:18,word:23,work:158673,nodes:196,pairs:659,completionMax:10395us [09m33s] 13294 ab:aaaaa=1,abbaab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbbbba=abbbbb,abbba=bbbbabbbbbbbb,abbbba=bbabbbbbbbbbbb,baa=abbabbbbbbbbbbbbbb,babba=ababb,bbbaba=aabbbb,aaa=babb,aaba=bbbbbbbbbbbbb,aabba=bababbbbbbbbb,ababa=bbbabb,abbaba=bbababbbbbbbbb [09m33s] from: 13294 ab:aaaaa=1,abbaab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb to: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 13295 solved: rounds:4,rules:4,peak:5,longest:9,steps:3,word:0,work:540,nodes:38,pairs:15,completionMax:60us [09m33s] 13295 ab:aaaaa=1,abbabb=1 infinite;group:a-aaaa,b-abbab ab - - ab:aaaaa=1,babba=abbab,bbabb=aaaa,bbabaaaa=aaaababb [09m33s] # 13296 solved: rounds:4,rules:4,peak:12,longest:21,steps:20,word:28,work:18940,nodes:112,pairs:68,completionMax:636us [09m33s] 13296 ab:aaaaa=1,abbbab=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbbbbbb,aaa=baabbbbbbb [09m33s] from: 13296 ab:aaaaa=1,abbbab=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb to: 13293 ab:aaaaa=1,ababbb=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb a=a,b=b [09m33s] # 13297 solved: rounds:4,rules:2,peak:4,longest:20,steps:13,word:14,work:1257,nodes:40,pairs:20,completionMax:71us [09m33s] 13297 ab:aaaaa=1,abbbba=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbb [09m33s] from: 13297 ab:aaaaa=1,abbbba=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbb,b=b [09m33s] # 13298 solved: rounds:5,rules:2,peak:5,longest:25,steps:5,word:19,work:564,nodes:50,pairs:20,completionMax:102us [09m33s] 13298 ab:aaaaa=1,abbbbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbbbb [09m33s] from: 13298 ab:aaaaa=1,abbbbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb to: 11133 ab:aaaaa=b,bbbbb=1 finite:25;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a25=1,b=a5;saturation:a:a25=1;cancellative;smith:25;group:a-aaaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa a=aaaaaaaaaaaaaaaaaaaa,b=a [09m33s] # 13299 solved: rounds:3,rules:2,peak:7,longest:10,steps:9,word:5,work:2960,nodes:44,pairs:65,completionMax:352us [09m33s] 13299 ab:aaaaa=1,baaaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bb [09m33s] from: 13299 ab:aaaaa=1,baaaab=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b2;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bb,b=b [09m33s] # 13300 solved: rounds:5,rules:2,peak:7,longest:15,steps:20,word:8,work:2033,nodes:30,pairs:23,completionMax:118us [09m33s] 13300 ab:aaaaa=1,baaabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbb [09m33s] from: 13300 ab:aaaaa=1,baaabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b9;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaa,b=a [09m33s] # 13301 solved: rounds:6,rules:12,peak:37,longest:20,steps:16,word:17,work:161999,nodes:258,pairs:690,completionMax:7134us [09m33s] 13301 ab:aaaaa=1,baabab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbbbba=abbbbb,abbba=bbbbabbbbbbbb,abbbba=bbabbbbbbbbbbb,baa=abbabbbbbbbbbbbbbb,babba=ababb,bbbaba=aabbbb,aaa=babb,aaba=bbbbbbbbbbbbb,aabba=bababbbbbbbbb,ababa=bbbabb,abbaba=bbababbbbbbbbb [09m33s] from: 13301 ab:aaaaa=1,baabab=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb to: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 13302 solved: rounds:5,rules:2,peak:5,longest:20,steps:14,word:14,work:1345,nodes:40,pairs:17,completionMax:89us [09m33s] 13302 ab:aaaaa=1,baabbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbb [09m33s] from: 13302 ab:aaaaa=1,baabbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbb,b=b [09m33s] # 13303 solved: rounds:7,rules:4,peak:11,longest:25,steps:30,word:14,work:29523,nodes:152,pairs:61,completionMax:896us [09m33s] 13303 ab:aaaaa=1,bababb=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,aba=bbbbbbbbbbbbbbbbb,aaa=baabbbbbbb [09m33s] from: 13303 ab:aaaaa=1,bababb=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb to: 13293 ab:aaaaa=1,ababbb=1 finite:100;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbbbbbbbbbb a=a,b=b [09m33s] # 13304 solved: rounds:3,rules:4,peak:6,longest:9,steps:3,word:0,work:554,nodes:44,pairs:14,completionMax:52us [09m33s] 13304 ab:aaaaa=1,babbab=1 infinite;group:a-aaaa,b-abbab ab - - ab:aaaaa=1,babba=abbab,bbabb=aaaa,bbabaaaa=aaaababb [09m33s] from: 13304 ab:aaaaa=1,babbab=1 infinite;group:a-aaaa,b-abbab to: 13295 ab:aaaaa=1,abbabb=1 infinite;group:a-aaaa,b-abbab a=a,b=b [09m33s] # 13305 solved: rounds:7,rules:2,peak:6,longest:25,steps:12,word:19,work:2449,nodes:50,pairs:27,completionMax:158us [09m33s] 13305 ab:aaaaa=1,babbbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbbbb [09m33s] from: 13305 ab:aaaaa=1,babbbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb to: 11133 ab:aaaaa=b,bbbbb=1 finite:25;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a25=1,b=a5;saturation:a:a25=1;cancellative;smith:25;group:a-aaaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa a=aaaaaaaaaaaaaaaaaaaa,b=a [09m33s] # 13306 solved: rounds:5,rules:2,peak:6,longest:20,steps:10,word:14,work:1397,nodes:40,pairs:27,completionMax:89us [09m33s] 13306 ab:aaaaa=1,bbaabb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbb [09m33s] from: 13306 ab:aaaaa=1,bbaabb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b8;saturation:a:a20=1;cancellative;smith:20;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbbbbb,b=b [09m33s] # 13307 solved: rounds:7,rules:2,peak:8,longest:25,steps:12,word:19,work:3011,nodes:50,pairs:22,completionMax:114us [09m33s] 13307 ab:aaaaa=1,bbabbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbbbb [09m33s] from: 13307 ab:aaaaa=1,bbabbb=1 finite:25;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b25=1,a=b20;saturation:a:a25=1;cancellative;smith:25;group:a-bbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbb to: 11133 ab:aaaaa=b,bbbbb=1 finite:25;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a25=1,b=a5;saturation:a:a25=1;cancellative;smith:25;group:a-aaaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa a=aaaaaaaaaaaaaaaaaaaa,b=a [09m33s] # 13308 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:20,pairs:0,completionMax:4us [09m33s] 13308 ab:aaaaa=1,bbbbbb=1 infinite;group:a-aaaa,b-bbbbb ab - - ab:aaaaa=1,bbbbbb=1 [09m33s] # 13309 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:1,work:15,nodes:12,pairs:4,completionMax:15us [09m33s] 13309 ab:aaaab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 13309 ab:aaaab=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 13310 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:21,nodes:10,pairs:4,completionMax:5us [09m33s] 13310 ab:aaaab=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13310 ab:aaaab=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13311 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:20,nodes:10,pairs:4,completionMax:4us [09m33s] 13311 ab:aaaab=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13311 ab:aaaab=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13312 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:5us [09m33s] 13312 ab:aaaab=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13312 ab:aaaab=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13313 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:226,nodes:16,pairs:20,completionMax:38us [09m33s] 13313 ab:aaaab=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13313 ab:aaaab=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13314 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:17,nodes:14,pairs:4,completionMax:12us [09m33s] 13314 ab:aaaab=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13314 ab:aaaab=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13315 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:145,nodes:16,pairs:13,completionMax:31us [09m33s] 13315 ab:aaaab=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13315 ab:aaaab=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13316 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:53,nodes:20,pairs:5,completionMax:27us [09m33s] 13316 ab:aaaab=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13316 ab:aaaab=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13317 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:557,nodes:22,pairs:33,completionMax:71us [09m33s] 13317 ab:aaaab=1,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13317 ab:aaaab=1,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13318 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:22,nodes:16,pairs:5,completionMax:18us [09m33s] 13318 ab:aaaab=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13318 ab:aaaab=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13319 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:157,nodes:18,pairs:15,completionMax:37us [09m33s] 13319 ab:aaaab=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13319 ab:aaaab=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13320 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:56,nodes:20,pairs:3,completionMax:20us [09m33s] 13320 ab:aaaab=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13320 ab:aaaab=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13321 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:211,nodes:20,pairs:19,completionMax:38us [09m33s] 13321 ab:aaaab=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13321 ab:aaaab=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13322 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:4,work:193,nodes:24,pairs:13,completionMax:28us [09m33s] 13322 ab:aaaab=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13322 ab:aaaab=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13323 solved: rounds:3,rules:2,peak:7,longest:9,steps:6,word:8,work:818,nodes:26,pairs:25,completionMax:76us [09m33s] 13323 ab:aaaab=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13323 ab:aaaab=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13324 solved: rounds:4,rules:2,peak:5,longest:14,steps:4,word:9,work:216,nodes:28,pairs:15,completionMax:52us [09m33s] 13324 ab:aaaab=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13324 ab:aaaab=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13325 solved: rounds:2,rules:2,peak:5,longest:6,steps:7,word:0,work:372,nodes:20,pairs:22,completionMax:47us [09m33s] 13325 ab:aaaab=1,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13325 ab:aaaab=1,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13326 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:144,nodes:18,pairs:14,completionMax:33us [09m33s] 13326 ab:aaaab=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13326 ab:aaaab=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13327 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:464,nodes:26,pairs:24,completionMax:72us [09m33s] 13327 ab:aaaab=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13327 ab:aaaab=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13328 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:4,work:75,nodes:20,pairs:3,completionMax:26us [09m33s] 13328 ab:aaaab=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13328 ab:aaaab=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13329 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:710,nodes:26,pairs:34,completionMax:93us [09m33s] 13329 ab:aaaab=1,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13329 ab:aaaab=1,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13330 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:4,work:103,nodes:22,pairs:8,completionMax:30us [09m33s] 13330 ab:aaaab=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13330 ab:aaaab=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13331 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:8,work:741,nodes:28,pairs:25,completionMax:81us [09m33s] 13331 ab:aaaab=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13331 ab:aaaab=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13332 solved: rounds:4,rules:2,peak:5,longest:16,steps:2,word:9,work:380,nodes:40,pairs:16,completionMax:68us [09m33s] 13332 ab:aaaab=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13332 ab:aaaab=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13333 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:448,nodes:24,pairs:27,completionMax:65us [09m33s] 13333 ab:aaaab=1,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13333 ab:aaaab=1,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13334 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:8,work:607,nodes:30,pairs:23,completionMax:92us [09m33s] 13334 ab:aaaab=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13334 ab:aaaab=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13335 solved: rounds:3,rules:2,peak:7,longest:9,steps:5,word:8,work:891,nodes:30,pairs:28,completionMax:94us [09m33s] 13335 ab:aaaab=1,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13335 ab:aaaab=1,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13336 solved: rounds:4,rules:2,peak:5,longest:17,steps:2,word:9,work:546,nodes:40,pairs:20,completionMax:93us [09m33s] 13336 ab:aaaab=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13336 ab:aaaab=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13337 solved: rounds:3,rules:2,peak:8,longest:9,steps:4,word:4,work:937,nodes:30,pairs:31,completionMax:114us [09m33s] 13337 ab:aaaab=1,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13337 ab:aaaab=1,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13338 solved: rounds:3,rules:2,peak:6,longest:14,steps:2,word:9,work:419,nodes:38,pairs:30,completionMax:99us [09m33s] 13338 ab:aaaab=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13338 ab:aaaab=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13339 solved: rounds:3,rules:2,peak:9,longest:16,steps:7,word:18,work:2232,nodes:54,pairs:24,completionMax:164us [09m33s] 13339 ab:aaaab=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13339 ab:aaaab=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13340 solved: rounds:4,rules:2,peak:7,longest:22,steps:6,word:14,work:1925,nodes:52,pairs:39,completionMax:249us [09m33s] 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] # 13341 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:0,work:382,nodes:20,pairs:20,completionMax:37us [09m33s] 13341 ab:aaaab=1,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13341 ab:aaaab=1,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13342 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:9us [09m33s] 13342 ab:aaaab=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13342 ab:aaaab=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13343 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:484,nodes:26,pairs:23,completionMax:62us [09m33s] 13343 ab:aaaab=1,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13343 ab:aaaab=1,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13344 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:4,work:213,nodes:28,pairs:10,completionMax:37us [09m33s] 13344 ab:aaaab=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13344 ab:aaaab=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13345 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:515,nodes:24,pairs:23,completionMax:60us [09m33s] 13345 ab:aaaab=1,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13345 ab:aaaab=1,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13346 solved: rounds:3,rules:2,peak:7,longest:12,steps:2,word:8,work:792,nodes:38,pairs:27,completionMax:99us [09m33s] 13346 ab:aaaab=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13346 ab:aaaab=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13347 solved: rounds:2,rules:2,peak:8,longest:9,steps:4,word:8,work:856,nodes:34,pairs:23,completionMax:91us [09m33s] 13347 ab:aaaab=1,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13347 ab:aaaab=1,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13348 solved: rounds:4,rules:2,peak:6,longest:14,steps:3,word:9,work:381,nodes:28,pairs:18,completionMax:65us [09m33s] 13348 ab:aaaab=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13348 ab:aaaab=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13349 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:270,nodes:22,pairs:22,completionMax:45us [09m33s] 13349 ab:aaaab=1,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13349 ab:aaaab=1,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13350 solved: rounds:3,rules:2,peak:7,longest:9,steps:2,word:4,work:529,nodes:30,pairs:34,completionMax:97us [09m33s] 13350 ab:aaaab=1,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13350 ab:aaaab=1,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13351 solved: rounds:3,rules:2,peak:5,longest:9,steps:3,word:4,work:484,nodes:32,pairs:23,completionMax:61us [09m33s] 13351 ab:aaaab=1,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13351 ab:aaaab=1,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13352 solved: rounds:4,rules:2,peak:6,longest:20,steps:12,word:18,work:1356,nodes:50,pairs:18,completionMax:94us [09m33s] 13352 ab:aaaab=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13352 ab:aaaab=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13353 solved: rounds:3,rules:2,peak:8,longest:9,steps:10,word:8,work:1515,nodes:30,pairs:27,completionMax:77us [09m33s] 13353 ab:aaaab=1,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13353 ab:aaaab=1,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13354 solved: rounds:4,rules:2,peak:7,longest:21,steps:2,word:18,work:1720,nodes:54,pairs:38,completionMax:140us [09m33s] 13354 ab:aaaab=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13354 ab:aaaab=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13355 solved: rounds:3,rules:2,peak:9,longest:14,steps:5,word:9,work:1428,nodes:34,pairs:47,completionMax:125us [09m33s] 13355 ab:aaaab=1,babbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13355 ab:aaaab=1,babbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13356 solved: rounds:5,rules:2,peak:7,longest:19,steps:5,word:14,work:1119,nodes:38,pairs:32,completionMax:132us [09m33s] 13356 ab:aaaab=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13356 ab:aaaab=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13357 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:208,nodes:20,pairs:16,completionMax:26us [09m33s] 13357 ab:aaaab=1,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13357 ab:aaaab=1,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13358 solved: rounds:3,rules:2,peak:7,longest:9,steps:2,word:4,work:597,nodes:32,pairs:30,completionMax:64us [09m33s] 13358 ab:aaaab=1,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13358 ab:aaaab=1,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13359 solved: rounds:3,rules:2,peak:9,longest:9,steps:2,word:4,work:732,nodes:38,pairs:43,completionMax:96us [09m33s] 13359 ab:aaaab=1,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13359 ab:aaaab=1,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13360 solved: rounds:4,rules:2,peak:7,longest:14,steps:5,word:9,work:642,nodes:30,pairs:32,completionMax:94us [09m33s] 13360 ab:aaaab=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13360 ab:aaaab=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13361 solved: rounds:3,rules:2,peak:10,longest:9,steps:10,word:8,work:2118,nodes:38,pairs:33,completionMax:147us [09m33s] 13361 ab:aaaab=1,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13361 ab:aaaab=1,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13362 solved: rounds:4,rules:2,peak:7,longest:20,steps:34,word:18,work:3241,nodes:54,pairs:24,completionMax:190us [09m33s] 13362 ab:aaaab=1,bbabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13362 ab:aaaab=1,bbabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13363 solved: rounds:4,rules:2,peak:7,longest:14,steps:3,word:9,work:701,nodes:30,pairs:42,completionMax:118us [09m33s] 13363 ab:aaaab=1,bbabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13363 ab:aaaab=1,bbabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13364 solved: rounds:5,rules:2,peak:7,longest:19,steps:9,word:14,work:1338,nodes:38,pairs:37,completionMax:143us [09m33s] 13364 ab:aaaab=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13364 ab:aaaab=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13365 solved: rounds:2,rules:2,peak:5,longest:9,steps:21,word:8,work:1407,nodes:26,pairs:23,completionMax:73us [09m33s] 13365 ab:aaaab=1,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13365 ab:aaaab=1,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13366 solved: rounds:4,rules:2,peak:7,longest:20,steps:19,word:18,work:2925,nodes:52,pairs:30,completionMax:207us [09m33s] 13366 ab:aaaab=1,bbbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13366 ab:aaaab=1,bbbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13367 solved: rounds:4,rules:2,peak:8,longest:14,steps:3,word:9,work:786,nodes:32,pairs:46,completionMax:130us [09m33s] 13367 ab:aaaab=1,bbbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13367 ab:aaaab=1,bbbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13368 solved: rounds:5,rules:2,peak:8,longest:19,steps:13,word:14,work:2061,nodes:38,pairs:37,completionMax:163us [09m33s] 13368 ab:aaaab=1,bbbabb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13368 ab:aaaab=1,bbbabb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13369 solved: rounds:3,rules:2,peak:8,longest:14,steps:10,word:27,work:2123,nodes:28,pairs:51,completionMax:169us [09m33s] 13369 ab:aaaab=1,bbbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13369 ab:aaaab=1,bbbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13370 solved: rounds:5,rules:2,peak:7,longest:19,steps:11,word:14,work:1285,nodes:38,pairs:40,completionMax:131us [09m33s] 13370 ab:aaaab=1,bbbbab=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13370 ab:aaaab=1,bbbbab=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13371 solved: rounds:5,rules:2,peak:7,longest:19,steps:7,word:14,work:1310,nodes:38,pairs:41,completionMax:159us [09m33s] 13371 ab:aaaab=1,bbbbba=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13371 ab:aaaab=1,bbbbba=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13372 solved: rounds:6,rules:2,peak:5,longest:24,steps:10,word:19,work:1090,nodes:48,pairs:22,completionMax:112us [09m33s] 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaaaaaa [09m33s] # 13373 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:115,nodes:16,pairs:11,completionMax:31us [09m33s] 13373 ab:aaaba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 13373 ab:aaaba=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 13374 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:191,nodes:16,pairs:18,completionMax:37us [09m33s] 13374 ab:aaaba=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13374 ab:aaaba=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13375 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:31,nodes:10,pairs:4,completionMax:7us [09m33s] 13375 ab:aaaba=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13375 ab:aaaba=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13376 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:0,work:279,nodes:18,pairs:14,completionMax:36us [09m33s] 13376 ab:aaaba=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13376 ab:aaaba=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13377 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:30,nodes:10,pairs:4,completionMax:5us [09m33s] 13377 ab:aaaba=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13377 ab:aaaba=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13378 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:10,pairs:1,completionMax:6us [09m33s] 13378 ab:aaaba=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13378 ab:aaaba=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13379 solved: rounds:4,rules:2,peak:6,longest:6,steps:4,word:0,work:569,nodes:20,pairs:28,completionMax:56us [09m33s] 13379 ab:aaaba=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13379 ab:aaaba=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13380 solved: rounds:4,rules:2,peak:8,longest:11,steps:25,word:12,work:3262,nodes:42,pairs:46,completionMax:142us [09m33s] 13380 ab:aaaba=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13380 ab:aaaba=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13381 solved: rounds:2,rules:2,peak:5,longest:6,steps:7,word:0,work:321,nodes:18,pairs:21,completionMax:31us [09m33s] 13381 ab:aaaba=1,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13381 ab:aaaba=1,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13382 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:43,nodes:16,pairs:7,completionMax:18us [09m33s] 13382 ab:aaaba=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13382 ab:aaaba=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13383 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:135,nodes:18,pairs:14,completionMax:27us [09m33s] 13383 ab:aaaba=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13383 ab:aaaba=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13384 solved: rounds:3,rules:2,peak:8,longest:16,steps:9,word:8,work:2196,nodes:42,pairs:22,completionMax:115us [09m33s] 13384 ab:aaaba=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13384 ab:aaaba=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13385 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:836,nodes:26,pairs:37,completionMax:82us [09m33s] 13385 ab:aaaba=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13385 ab:aaaba=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13386 solved: rounds:4,rules:2,peak:11,longest:11,steps:42,word:8,work:6369,nodes:54,pairs:59,completionMax:271us [09m33s] 13386 ab:aaaba=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13386 ab:aaaba=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13387 solved: rounds:4,rules:2,peak:9,longest:12,steps:13,word:12,work:3790,nodes:44,pairs:62,completionMax:274us [09m33s] 13387 ab:aaaba=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13387 ab:aaaba=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13388 solved: rounds:5,rules:2,peak:7,longest:30,steps:33,word:27,work:3080,nodes:72,pairs:41,completionMax:240us [09m33s] 13388 ab:aaaba=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13388 ab:aaaba=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13389 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:614,nodes:22,pairs:36,completionMax:59us [09m33s] 13389 ab:aaaba=1,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13389 ab:aaaba=1,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13390 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:122,nodes:24,pairs:16,completionMax:29us [09m33s] 13390 ab:aaaba=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13390 ab:aaaba=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13391 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:290,nodes:24,pairs:22,completionMax:61us [09m33s] 13391 ab:aaaba=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13391 ab:aaaba=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13392 solved: rounds:3,rules:2,peak:10,longest:9,steps:2,word:4,work:1254,nodes:30,pairs:33,completionMax:142us [09m33s] 13392 ab:aaaba=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13392 ab:aaaba=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13393 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:462,nodes:24,pairs:28,completionMax:57us [09m33s] 13393 ab:aaaba=1,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13393 ab:aaaba=1,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13394 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:4,work:195,nodes:22,pairs:13,completionMax:32us [09m33s] 13394 ab:aaaba=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13394 ab:aaaba=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13395 solved: rounds:3,rules:2,peak:10,longest:9,steps:5,word:8,work:1482,nodes:36,pairs:42,completionMax:152us [09m33s] 13395 ab:aaaba=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13395 ab:aaaba=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13396 solved: rounds:4,rules:2,peak:8,longest:14,steps:5,word:9,work:919,nodes:28,pairs:31,completionMax:112us [09m33s] 13396 ab:aaaba=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13396 ab:aaaba=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13397 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:873,nodes:28,pairs:32,completionMax:73us [09m33s] 13397 ab:aaaba=1,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13397 ab:aaaba=1,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13398 solved: rounds:3,rules:2,peak:11,longest:14,steps:9,word:8,work:2996,nodes:52,pairs:40,completionMax:240us [09m33s] 13398 ab:aaaba=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13398 ab:aaaba=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13399 solved: rounds:3,rules:2,peak:11,longest:9,steps:8,word:8,work:4134,nodes:58,pairs:63,completionMax:205us [09m33s] 13399 ab:aaaba=1,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13399 ab:aaaba=1,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13400 solved: rounds:4,rules:2,peak:9,longest:16,steps:21,word:18,work:6983,nodes:48,pairs:60,completionMax:364us [09m33s] 13400 ab:aaaba=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13400 ab:aaaba=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13401 solved: rounds:4,rules:2,peak:9,longest:14,steps:7,word:8,work:2994,nodes:50,pairs:49,completionMax:224us [09m33s] 13401 ab:aaaba=1,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13401 ab:aaaba=1,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13402 solved: rounds:3,rules:2,peak:11,longest:33,steps:34,word:27,work:8977,nodes:94,pairs:99,completionMax:459us [09m33s] 13402 ab:aaaba=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13402 ab:aaaba=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13403 solved: rounds:5,rules:2,peak:10,longest:20,steps:34,word:18,work:6756,nodes:52,pairs:74,completionMax:741us [09m33s] 13403 ab:aaaba=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13403 ab:aaaba=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13404 solved: rounds:5,rules:2,peak:11,longest:30,steps:18,word:28,work:7814,nodes:72,pairs:84,completionMax:623us [09m33s] 13404 ab:aaaba=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13404 ab:aaaba=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13405 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:684,nodes:24,pairs:40,completionMax:78us [09m33s] 13405 ab:aaaba=1,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13405 ab:aaaba=1,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13406 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:100,nodes:20,pairs:12,completionMax:20us [09m33s] 13406 ab:aaaba=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13406 ab:aaaba=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13407 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:1,completionMax:6us [09m33s] 13407 ab:aaaba=1,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13407 ab:aaaba=1,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13408 solved: rounds:3,rules:2,peak:8,longest:9,steps:9,word:8,work:1332,nodes:30,pairs:29,completionMax:71us [09m33s] 13408 ab:aaaba=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13408 ab:aaaba=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13409 solved: rounds:2,rules:2,peak:9,longest:6,steps:2,word:0,work:617,nodes:26,pairs:30,completionMax:84us [09m33s] 13409 ab:aaaba=1,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13409 ab:aaaba=1,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13410 solved: rounds:2,rules:2,peak:5,longest:9,steps:8,word:8,work:655,nodes:30,pairs:21,completionMax:67us [09m33s] 13410 ab:aaaba=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13410 ab:aaaba=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13411 solved: rounds:3,rules:2,peak:7,longest:9,steps:9,word:8,work:960,nodes:30,pairs:27,completionMax:71us [09m33s] 13411 ab:aaaba=1,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13411 ab:aaaba=1,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13412 solved: rounds:4,rules:2,peak:10,longest:20,steps:13,word:18,work:2916,nodes:50,pairs:34,completionMax:196us [09m33s] 13412 ab:aaaba=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13412 ab:aaaba=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13413 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:687,nodes:24,pairs:26,completionMax:55us [09m33s] 13413 ab:aaaba=1,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13413 ab:aaaba=1,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13414 solved: rounds:3,rules:2,peak:6,longest:9,steps:6,word:8,work:801,nodes:28,pairs:23,completionMax:59us [09m33s] 13414 ab:aaaba=1,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13414 ab:aaaba=1,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13415 solved: rounds:3,rules:2,peak:5,longest:9,steps:7,word:8,work:555,nodes:24,pairs:20,completionMax:63us [09m33s] 13415 ab:aaaba=1,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13415 ab:aaaba=1,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13416 solved: rounds:3,rules:2,peak:8,longest:14,steps:5,word:18,work:1485,nodes:28,pairs:52,completionMax:140us [09m33s] 13416 ab:aaaba=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13416 ab:aaaba=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13417 solved: rounds:3,rules:2,peak:11,longest:16,steps:14,word:12,work:2463,nodes:54,pairs:63,completionMax:240us [09m33s] 13417 ab:aaaba=1,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13417 ab:aaaba=1,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13418 solved: rounds:3,rules:2,peak:9,longest:14,steps:6,word:9,work:1569,nodes:36,pairs:39,completionMax:141us [09m33s] 13418 ab:aaaba=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13418 ab:aaaba=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13419 solved: rounds:3,rules:2,peak:8,longest:14,steps:7,word:27,work:1388,nodes:28,pairs:50,completionMax:126us [09m33s] 13419 ab:aaaba=1,babbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13419 ab:aaaba=1,babbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13420 solved: rounds:3,rules:2,peak:10,longest:19,steps:29,word:28,work:4404,nodes:52,pairs:47,completionMax:243us [09m33s] 13420 ab:aaaba=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13420 ab:aaaba=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13421 solved: rounds:2,rules:2,peak:5,longest:6,steps:7,word:0,work:417,nodes:24,pairs:17,completionMax:45us [09m33s] 13421 ab:aaaba=1,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13421 ab:aaaba=1,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13422 solved: rounds:2,rules:2,peak:5,longest:9,steps:9,word:8,work:537,nodes:26,pairs:17,completionMax:64us [09m33s] 13422 ab:aaaba=1,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13422 ab:aaaba=1,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13423 solved: rounds:3,rules:2,peak:7,longest:9,steps:12,word:8,work:1799,nodes:38,pairs:37,completionMax:102us [09m33s] 13423 ab:aaaba=1,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13423 ab:aaaba=1,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13424 solved: rounds:5,rules:2,peak:8,longest:14,steps:11,word:9,work:3915,nodes:34,pairs:63,completionMax:270us [09m33s] 13424 ab:aaaba=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13424 ab:aaaba=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13425 solved: rounds:4,rules:2,peak:9,longest:17,steps:8,word:8,work:4325,nodes:58,pairs:49,completionMax:195us [09m33s] 13425 ab:aaaba=1,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13425 ab:aaaba=1,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13426 solved: rounds:5,rules:2,peak:11,longest:20,steps:13,word:18,work:5474,nodes:52,pairs:90,completionMax:343us [09m33s] 13426 ab:aaaba=1,bbabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13426 ab:aaaba=1,bbabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13427 solved: rounds:4,rules:2,peak:11,longest:25,steps:21,word:27,work:8801,nodes:80,pairs:46,completionMax:447us [09m33s] 13427 ab:aaaba=1,bbabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13427 ab:aaaba=1,bbabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13428 solved: rounds:6,rules:2,peak:11,longest:19,steps:13,word:14,work:6946,nodes:50,pairs:86,completionMax:314us [09m33s] 13428 ab:aaaba=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13428 ab:aaaba=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13429 solved: rounds:4,rules:2,peak:6,longest:9,steps:4,word:4,work:517,nodes:22,pairs:29,completionMax:78us [09m33s] 13429 ab:aaaba=1,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13429 ab:aaaba=1,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13430 solved: rounds:6,rules:2,peak:6,longest:14,steps:8,word:9,work:1048,nodes:28,pairs:22,completionMax:74us [09m33s] 13430 ab:aaaba=1,bbbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13430 ab:aaaba=1,bbbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13431 solved: rounds:4,rules:2,peak:10,longest:26,steps:20,word:27,work:6567,nodes:84,pairs:53,completionMax:321us [09m33s] 13431 ab:aaaba=1,bbbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13431 ab:aaaba=1,bbbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13432 solved: rounds:5,rules:2,peak:12,longest:19,steps:10,word:14,work:5549,nodes:42,pairs:85,completionMax:419us [09m33s] 13432 ab:aaaba=1,bbbabb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13432 ab:aaaba=1,bbbabb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13433 solved: rounds:5,rules:2,peak:10,longest:14,steps:13,word:9,work:3546,nodes:48,pairs:35,completionMax:185us [09m33s] 13433 ab:aaaba=1,bbbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13433 ab:aaaba=1,bbbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13434 solved: rounds:8,rules:2,peak:6,longest:19,steps:11,word:14,work:2473,nodes:38,pairs:29,completionMax:233us [09m33s] 13434 ab:aaaba=1,bbbbab=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13434 ab:aaaba=1,bbbbab=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13435 solved: rounds:6,rules:2,peak:9,longest:19,steps:12,word:14,work:3648,nodes:48,pairs:56,completionMax:253us [09m33s] 13435 ab:aaaba=1,bbbbba=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13435 ab:aaaba=1,bbbbba=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13436 solved: rounds:9,rules:2,peak:5,longest:24,steps:15,word:19,work:2741,nodes:48,pairs:22,completionMax:242us [09m33s] 13436 ab:aaaba=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaaaaaa [09m33s] from: 13436 ab:aaaba=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=a,b=aaaaaaaaaaaaaaaaaaaa [09m33s] # 13437 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:0,work:312,nodes:18,pairs:18,completionMax:27us [09m33s] 13437 ab:aaabb=1,aaaaaa=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [09m33s] from: 13437 ab:aaabb=1,aaaaaa=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [09m33s] # 13438 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:1,work:17,nodes:14,pairs:3,completionMax:9us [09m33s] 13438 ab:aaabb=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13438 ab:aaabb=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13439 solved: rounds:5,rules:2,peak:7,longest:7,steps:4,word:2,work:1256,nodes:22,pairs:46,completionMax:98us [09m33s] 13439 ab:aaabb=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13439 ab:aaabb=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13440 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:16,nodes:10,pairs:3,completionMax:7us [09m33s] 13440 ab:aaabb=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13440 ab:aaabb=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13441 solved: rounds:3,rules:2,peak:11,longest:11,steps:9,word:9,work:2675,nodes:54,pairs:87,completionMax:279us [09m33s] 13441 ab:aaabb=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13441 ab:aaabb=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13442 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [09m33s] 13442 ab:aaabb=1,aaabab=1 infinite ab - - ab:aaabb=1,aaabab=1 [09m33s] # 13443 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:3,completionMax:4us [09m33s] 13443 ab:aaabb=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13443 ab:aaabb=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13444 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:10,pairs:2,completionMax:6us [09m33s] 13444 ab:aaabb=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13444 ab:aaabb=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13445 solved: rounds:3,rules:2,peak:7,longest:9,steps:8,word:2,work:1604,nodes:36,pairs:27,completionMax:97us [09m33s] 13445 ab:aaabb=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13445 ab:aaabb=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13446 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 13446 ab:aaabb=1,aabaab=1 infinite ab - - ab:aaabb=1,aabaab=1 [09m33s] # 13447 solved: rounds:4,rules:2,peak:9,longest:7,steps:6,word:0,work:1462,nodes:36,pairs:71,completionMax:135us [09m33s] 13447 ab:aaabb=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13447 ab:aaabb=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13448 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 13448 ab:aaabb=1,aababb=1 infinite ab - - ab:aaabb=1,aababb=1 [09m33s] # 13449 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:240,nodes:20,pairs:17,completionMax:27us [09m33s] 13449 ab:aaabb=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13449 ab:aaabb=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13450 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:26,nodes:16,pairs:5,completionMax:14us [09m33s] 13450 ab:aaabb=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13450 ab:aaabb=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13451 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:147,nodes:18,pairs:15,completionMax:34us [09m33s] 13451 ab:aaabb=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13451 ab:aaabb=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13452 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:54,nodes:16,pairs:6,completionMax:16us [09m33s] 13452 ab:aaabb=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13452 ab:aaabb=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13453 solved: rounds:3,rules:2,peak:6,longest:10,steps:9,word:2,work:1285,nodes:38,pairs:22,completionMax:80us [09m33s] 13453 ab:aaabb=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13453 ab:aaabb=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13454 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:114,nodes:22,pairs:13,completionMax:29us [09m33s] 13454 ab:aaabb=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13454 ab:aaabb=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13455 solved: rounds:4,rules:3,peak:16,longest:12,steps:9,word:3,work:4619,nodes:60,pairs:89,completionMax:339us [09m33s] 13455 ab:aaabb=1,abaaba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 13455 ab:aaabb=1,abaaba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 13456 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:1us [09m33s] 13456 ab:aaabb=1,abaabb=1 infinite ab - - ab:aaabb=1,abaabb=1 [09m33s] # 13457 solved: rounds:3,rules:2,peak:13,longest:6,steps:4,word:0,work:1464,nodes:36,pairs:32,completionMax:138us [09m33s] 13457 ab:aaabb=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13457 ab:aaabb=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13458 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:3us [09m33s] 13458 ab:aaabb=1,ababab=1 infinite ab - - ab:aaabb=1,ababab=1 [09m33s] # 13459 solved: rounds:3,rules:2,peak:10,longest:8,steps:7,word:0,work:1338,nodes:46,pairs:41,completionMax:149us [09m33s] 13459 ab:aaabb=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13459 ab:aaabb=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13460 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:2us [09m33s] 13460 ab:aaabb=1,ababbb=1 infinite ab - - ab:aaabb=1,ababbb=1 [09m33s] # 13461 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:325,nodes:22,pairs:20,completionMax:43us [09m33s] 13461 ab:aaabb=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13461 ab:aaabb=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13462 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:212,nodes:18,pairs:12,completionMax:33us [09m33s] 13462 ab:aaabb=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13462 ab:aaabb=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13463 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:559,nodes:24,pairs:25,completionMax:58us [09m33s] 13463 ab:aaabb=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13463 ab:aaabb=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13464 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:2,work:85,nodes:26,pairs:5,completionMax:26us [09m33s] 13464 ab:aaabb=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13464 ab:aaabb=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13465 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:338,nodes:24,pairs:25,completionMax:68us [09m33s] 13465 ab:aaabb=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13465 ab:aaabb=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13466 solved: rounds:2,rules:3,peak:7,longest:13,steps:16,word:20,work:2265,nodes:54,pairs:12,completionMax:115us [09m33s] 13466 ab:aaabb=1,abbbab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13466 ab:aaabb=1,abbbab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13467 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:2,work:689,nodes:30,pairs:21,completionMax:75us [09m33s] 13467 ab:aaabb=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13467 ab:aaabb=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13468 solved: rounds:2,rules:2,peak:4,longest:13,steps:3,word:8,work:209,nodes:32,pairs:9,completionMax:38us [09m33s] 13468 ab:aaabb=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13468 ab:aaabb=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13469 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:2,work:398,nodes:28,pairs:17,completionMax:54us [09m33s] 13469 ab:aaabb=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13469 ab:aaabb=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13470 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:133,nodes:22,pairs:14,completionMax:32us [09m33s] 13470 ab:aaabb=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13470 ab:aaabb=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13471 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:609,nodes:24,pairs:23,completionMax:60us [09m33s] 13471 ab:aaabb=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13471 ab:aaabb=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13472 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:4us [09m33s] 13472 ab:aaabb=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13472 ab:aaabb=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13473 solved: rounds:3,rules:3,peak:8,longest:6,steps:7,word:3,work:1190,nodes:32,pairs:20,completionMax:69us [09m33s] 13473 ab:aaabb=1,baabaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 13473 ab:aaabb=1,baabaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 13474 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:1123,nodes:36,pairs:74,completionMax:154us [09m33s] 13474 ab:aaabb=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13474 ab:aaabb=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13475 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:471,nodes:30,pairs:23,completionMax:86us [09m33s] 13475 ab:aaabb=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13475 ab:aaabb=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13476 solved: rounds:3,rules:2,peak:7,longest:14,steps:6,word:3,work:1299,nodes:46,pairs:23,completionMax:118us [09m33s] 13476 ab:aaabb=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13476 ab:aaabb=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13477 solved: rounds:3,rules:2,peak:9,longest:6,steps:7,word:0,work:595,nodes:28,pairs:29,completionMax:84us [09m33s] 13477 ab:aaabb=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13477 ab:aaabb=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13478 solved: rounds:3,rules:2,peak:9,longest:7,steps:4,word:0,work:1099,nodes:36,pairs:53,completionMax:140us [09m33s] 13478 ab:aaabb=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13478 ab:aaabb=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13479 solved: rounds:4,rules:5,peak:13,longest:7,steps:6,word:2,work:4328,nodes:58,pairs:104,completionMax:407us [09m33s] 13479 ab:aaabb=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb b/a - - ab:bbbb=1,bba=abb,baa=abab,baba=aab,aaa=bb [09m33s] # 13480 solved: rounds:4,rules:3,peak:10,longest:16,steps:16,word:12,work:3277,nodes:68,pairs:56,completionMax:251us [09m33s] 13480 ab:aaabb=1,bababb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13480 ab:aaabb=1,bababb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13481 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:489,nodes:26,pairs:22,completionMax:58us [09m33s] 13481 ab:aaabb=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13481 ab:aaabb=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13482 solved: rounds:4,rules:2,peak:10,longest:12,steps:7,word:3,work:3622,nodes:76,pairs:80,completionMax:455us [09m33s] 13482 ab:aaabb=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13482 ab:aaabb=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13483 solved: rounds:5,rules:3,peak:13,longest:13,steps:25,word:19,work:3878,nodes:48,pairs:70,completionMax:303us [09m33s] 13483 ab:aaabb=1,babbba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13483 ab:aaabb=1,babbba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13484 solved: rounds:3,rules:2,peak:7,longest:13,steps:3,word:8,work:1264,nodes:40,pairs:43,completionMax:144us [09m33s] 13484 ab:aaabb=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13484 ab:aaabb=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13485 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:563,nodes:26,pairs:29,completionMax:64us [09m33s] 13485 ab:aaabb=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13485 ab:aaabb=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13486 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:265,nodes:24,pairs:18,completionMax:35us [09m33s] 13486 ab:aaabb=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13486 ab:aaabb=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13487 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:576,nodes:26,pairs:17,completionMax:88us [09m33s] 13487 ab:aaabb=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13487 ab:aaabb=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13488 solved: rounds:3,rules:2,peak:7,longest:12,steps:4,word:3,work:1573,nodes:42,pairs:36,completionMax:129us [09m33s] 13488 ab:aaabb=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13488 ab:aaabb=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13489 solved: rounds:3,rules:2,peak:12,longest:6,steps:4,word:0,work:1368,nodes:30,pairs:46,completionMax:167us [09m33s] 13489 ab:aaabb=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13489 ab:aaabb=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13490 solved: rounds:4,rules:3,peak:6,longest:12,steps:16,word:26,work:1589,nodes:28,pairs:33,completionMax:102us [09m33s] 13490 ab:aaabb=1,bbabab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13490 ab:aaabb=1,bbabab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13491 solved: rounds:2,rules:2,peak:8,longest:8,steps:5,word:3,work:928,nodes:30,pairs:22,completionMax:160us [09m33s] 13491 ab:aaabb=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13491 ab:aaabb=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13492 solved: rounds:2,rules:2,peak:5,longest:13,steps:8,word:12,work:794,nodes:36,pairs:19,completionMax:59us [09m33s] 13492 ab:aaabb=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13492 ab:aaabb=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13493 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:550,nodes:24,pairs:25,completionMax:48us [09m33s] 13493 ab:aaabb=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13493 ab:aaabb=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13494 solved: rounds:3,rules:2,peak:15,longest:12,steps:22,word:3,work:18592,nodes:64,pairs:115,completionMax:707us [09m33s] 13494 ab:aaabb=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13494 ab:aaabb=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13495 solved: rounds:4,rules:3,peak:11,longest:14,steps:26,word:12,work:4409,nodes:64,pairs:48,completionMax:245us [09m33s] 13495 ab:aaabb=1,bbbaba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13495 ab:aaabb=1,bbbaba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13496 solved: rounds:3,rules:2,peak:7,longest:13,steps:5,word:8,work:1238,nodes:38,pairs:27,completionMax:116us [09m33s] 13496 ab:aaabb=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13496 ab:aaabb=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13497 solved: rounds:2,rules:2,peak:6,longest:8,steps:12,word:5,work:1637,nodes:24,pairs:24,completionMax:107us [09m33s] 13497 ab:aaabb=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13497 ab:aaabb=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13498 solved: rounds:3,rules:2,peak:8,longest:20,steps:9,word:16,work:2029,nodes:32,pairs:45,completionMax:162us [09m33s] 13498 ab:aaabb=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13498 ab:aaabb=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13499 solved: rounds:2,rules:2,peak:5,longest:13,steps:16,word:12,work:2075,nodes:34,pairs:23,completionMax:89us [09m33s] 13499 ab:aaabb=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13499 ab:aaabb=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13500 solved: rounds:2,rules:3,peak:5,longest:9,steps:10,word:4,work:658,nodes:26,pairs:12,completionMax:55us [09m33s] 13500 ab:aaabb=1,bbbbbb=1 infinite;group:a-aaaaaaaa,b-baaa a/b - - ab:aaaaaaaaa=1,aaab=baaa,bb=aaaaaa [09m33s] # 13501 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:159,nodes:20,pairs:14,completionMax:46us [09m33s] 13501 ab:aabaa=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 13501 ab:aabaa=1,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 13502 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:542,nodes:20,pairs:29,completionMax:74us [09m33s] 13502 ab:aabaa=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13502 ab:aabaa=1,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13503 solved: rounds:2,rules:2,peak:5,longest:6,steps:7,word:0,work:284,nodes:18,pairs:20,completionMax:38us [09m33s] 13503 ab:aabaa=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13503 ab:aabaa=1,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13504 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:638,nodes:20,pairs:20,completionMax:53us [09m33s] 13504 ab:aabaa=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13504 ab:aabaa=1,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13505 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:42,nodes:10,pairs:4,completionMax:7us [09m33s] 13505 ab:aabaa=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 13505 ab:aabaa=1,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 13506 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:537,nodes:24,pairs:25,completionMax:58us [09m33s] 13506 ab:aabaa=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13506 ab:aabaa=1,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13507 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:1269,nodes:24,pairs:34,completionMax:94us [09m33s] 13507 ab:aabaa=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13507 ab:aabaa=1,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13508 solved: rounds:5,rules:2,peak:6,longest:9,steps:5,word:4,work:676,nodes:22,pairs:27,completionMax:74us [09m33s] 13508 ab:aabaa=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13508 ab:aabaa=1,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13509 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:7us [09m33s] 13509 ab:aabaa=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13509 ab:aabaa=1,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13510 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:1101,nodes:22,pairs:33,completionMax:60us [09m33s] 13510 ab:aabaa=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13510 ab:aabaa=1,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13511 solved: rounds:4,rules:2,peak:6,longest:9,steps:4,word:4,work:690,nodes:22,pairs:27,completionMax:76us [09m33s] 13511 ab:aabaa=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13511 ab:aabaa=1,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13512 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:0,work:934,nodes:18,pairs:31,completionMax:63us [09m33s] 13512 ab:aabaa=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13512 ab:aabaa=1,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13513 solved: rounds:4,rules:2,peak:6,longest:9,steps:4,word:4,work:657,nodes:24,pairs:27,completionMax:71us [09m33s] 13513 ab:aabaa=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13513 ab:aabaa=1,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13514 solved: rounds:5,rules:2,peak:6,longest:9,steps:4,word:4,work:811,nodes:24,pairs:30,completionMax:99us [09m33s] 13514 ab:aabaa=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13514 ab:aabaa=1,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13515 solved: rounds:4,rules:2,peak:7,longest:14,steps:8,word:9,work:1103,nodes:28,pairs:25,completionMax:85us [09m33s] 13515 ab:aabaa=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13515 ab:aabaa=1,aabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13516 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:107,nodes:22,pairs:16,completionMax:26us [09m33s] 13516 ab:aabaa=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13516 ab:aabaa=1,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13517 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:116,nodes:20,pairs:17,completionMax:21us [09m33s] 13517 ab:aabaa=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13517 ab:aabaa=1,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13518 solved: rounds:2,rules:2,peak:5,longest:9,steps:4,word:4,work:402,nodes:24,pairs:18,completionMax:38us [09m33s] 13518 ab:aabaa=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13518 ab:aabaa=1,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13519 solved: rounds:4,rules:2,peak:8,longest:9,steps:5,word:4,work:1165,nodes:26,pairs:31,completionMax:79us [09m33s] 13519 ab:aabaa=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13519 ab:aabaa=1,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13520 solved: rounds:3,rules:2,peak:9,longest:15,steps:24,word:12,work:4791,nodes:50,pairs:35,completionMax:202us [09m33s] 13520 ab:aabaa=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13520 ab:aabaa=1,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13521 solved: rounds:5,rules:2,peak:7,longest:14,steps:7,word:9,work:1237,nodes:28,pairs:24,completionMax:92us [09m33s] 13521 ab:aabaa=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13521 ab:aabaa=1,ababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13522 solved: rounds:2,rules:2,peak:6,longest:9,steps:6,word:8,work:898,nodes:28,pairs:24,completionMax:69us [09m33s] 13522 ab:aabaa=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13522 ab:aabaa=1,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13523 solved: rounds:4,rules:2,peak:8,longest:20,steps:12,word:18,work:2106,nodes:50,pairs:24,completionMax:143us [09m33s] 13523 ab:aabaa=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13523 ab:aabaa=1,abbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13524 solved: rounds:5,rules:2,peak:8,longest:14,steps:7,word:9,work:1695,nodes:28,pairs:36,completionMax:117us [09m33s] 13524 ab:aabaa=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13524 ab:aabaa=1,abbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13525 solved: rounds:6,rules:2,peak:7,longest:14,steps:8,word:9,work:1613,nodes:28,pairs:36,completionMax:166us [09m33s] 13525 ab:aabaa=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13525 ab:aabaa=1,abbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13526 solved: rounds:5,rules:2,peak:8,longest:19,steps:11,word:14,work:2179,nodes:38,pairs:25,completionMax:117us [09m33s] 13526 ab:aabaa=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13526 ab:aabaa=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13527 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:126,nodes:20,pairs:15,completionMax:33us [09m33s] 13527 ab:aabaa=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 13527 ab:aabaa=1,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 13528 solved: rounds:2,rules:2,peak:6,longest:9,steps:6,word:8,work:900,nodes:30,pairs:24,completionMax:87us [09m33s] 13528 ab:aabaa=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13528 ab:aabaa=1,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13529 solved: rounds:2,rules:2,peak:6,longest:9,steps:6,word:8,work:725,nodes:32,pairs:22,completionMax:80us [09m33s] 13529 ab:aabaa=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaa=1,b=aaaaa [09m33s] from: 13529 ab:aabaa=1,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b2;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aa,b=a [09m33s] # 13530 solved: rounds:4,rules:2,peak:6,longest:14,steps:6,word:9,work:654,nodes:28,pairs:25,completionMax:85us [09m33s] 13530 ab:aabaa=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13530 ab:aabaa=1,baabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13531 solved: rounds:5,rules:2,peak:6,longest:14,steps:8,word:9,work:1043,nodes:28,pairs:25,completionMax:103us [09m33s] 13531 ab:aabaa=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13531 ab:aabaa=1,bababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13532 solved: rounds:5,rules:2,peak:6,longest:14,steps:8,word:9,work:1149,nodes:28,pairs:29,completionMax:112us [09m33s] 13532 ab:aabaa=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13532 ab:aabaa=1,babbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13533 solved: rounds:6,rules:2,peak:7,longest:19,steps:11,word:14,work:2111,nodes:38,pairs:28,completionMax:162us [09m33s] 13533 ab:aabaa=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13533 ab:aabaa=1,babbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13534 solved: rounds:6,rules:2,peak:5,longest:14,steps:7,word:9,work:797,nodes:28,pairs:23,completionMax:87us [09m33s] 13534 ab:aabaa=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 13534 ab:aabaa=1,bbaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a10;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbb,b=bbbbbbbb [09m33s] # 13535 solved: rounds:7,rules:2,peak:8,longest:19,steps:11,word:14,work:2790,nodes:38,pairs:39,completionMax:192us [09m33s] 13535 ab:aabaa=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaa [09m33s] from: 13535 ab:aabaa=1,bbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbbb,b=b [09m33s] # 13536 solved: rounds:8,rules:2,peak:5,longest:24,steps:15,word:19,work:2657,nodes:48,pairs:22,completionMax:182us [09m33s] 13536 ab:aabaa=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaaaaaa [09m33s] from: 13536 ab:aabaa=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=a,b=aaaaaaaaaaaaaaaaaaaa [09m33s] # 13537 solved: rounds:3,rules:3,peak:10,longest:6,steps:5,word:0,work:1759,nodes:32,pairs:35,completionMax:142us [09m33s] 13537 ab:aabab=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [09m33s] from: 13537 ab:aabab=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=bbb [09m33s] # 13538 solved: rounds:3,rules:2,peak:3,longest:7,steps:1,word:1,work:23,nodes:16,pairs:4,completionMax:23us [09m33s] 13538 ab:aabab=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13538 ab:aabab=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13539 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:44,nodes:16,pairs:6,completionMax:20us [09m33s] 13539 ab:aabab=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13539 ab:aabab=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13540 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 13540 ab:aabab=1,aaaabb=1 infinite ab - - ab:aabab=1,aaaabb=1 [09m33s] # 13541 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:1,work:891,nodes:22,pairs:24,completionMax:80us [09m33s] 13541 ab:aabab=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13541 ab:aabab=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13542 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:18,nodes:10,pairs:3,completionMax:6us [09m33s] 13542 ab:aabab=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13542 ab:aabab=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13543 solved: rounds:4,rules:2,peak:8,longest:7,steps:4,word:0,work:1290,nodes:32,pairs:50,completionMax:139us [09m33s] 13543 ab:aabab=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13543 ab:aabab=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13544 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:2us [09m33s] 13544 ab:aabab=1,aaabbb=1 infinite ab - - ab:aabab=1,aaabbb=1 [09m33s] # 13545 solved: rounds:2,rules:2,peak:9,longest:7,steps:5,word:2,work:1174,nodes:40,pairs:27,completionMax:91us [09m33s] 13545 ab:aabab=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13545 ab:aabab=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13546 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:28,nodes:12,pairs:7,completionMax:18us [09m33s] 13546 ab:aabab=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13546 ab:aabab=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13547 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:17,nodes:10,pairs:3,completionMax:3us [09m33s] 13547 ab:aabab=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13547 ab:aabab=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13548 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:2,completionMax:7us [09m33s] 13548 ab:aabab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13548 ab:aabab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13549 solved: rounds:3,rules:2,peak:11,longest:6,steps:3,word:0,work:1266,nodes:28,pairs:58,completionMax:136us [09m33s] 13549 ab:aabab=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13549 ab:aabab=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13550 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 13550 ab:aabab=1,aabbab=1 infinite ab - - ab:aabab=1,aabbab=1 [09m33s] # 13551 solved: rounds:4,rules:2,peak:9,longest:6,steps:5,word:0,work:924,nodes:30,pairs:60,completionMax:122us [09m33s] 13551 ab:aabab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13551 ab:aabab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13552 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 13552 ab:aabab=1,aabbbb=1 infinite ab - - ab:aabab=1,aabbbb=1 [09m33s] # 13553 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:2,work:499,nodes:28,pairs:22,completionMax:53us [09m33s] 13553 ab:aabab=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13553 ab:aabab=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13554 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:182,nodes:20,pairs:16,completionMax:26us [09m33s] 13554 ab:aabab=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13554 ab:aabab=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13555 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:128,nodes:20,pairs:15,completionMax:20us [09m33s] 13555 ab:aabab=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13555 ab:aabab=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13556 solved: rounds:4,rules:2,peak:4,longest:6,steps:1,word:0,work:41,nodes:18,pairs:8,completionMax:15us [09m33s] 13556 ab:aabab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13556 ab:aabab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13557 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:443,nodes:24,pairs:29,completionMax:72us [09m33s] 13557 ab:aabab=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13557 ab:aabab=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13558 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:43,nodes:18,pairs:7,completionMax:15us [09m33s] 13558 ab:aabab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13558 ab:aabab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13559 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:129,nodes:20,pairs:13,completionMax:20us [09m33s] 13559 ab:aabab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13559 ab:aabab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13560 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:62,nodes:18,pairs:7,completionMax:13us [09m33s] 13560 ab:aabab=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13560 ab:aabab=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13561 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:911,nodes:26,pairs:26,completionMax:78us [09m33s] 13561 ab:aabab=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13561 ab:aabab=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13562 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:303,nodes:24,pairs:18,completionMax:49us [09m33s] 13562 ab:aabab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13562 ab:aabab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13563 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:460,nodes:26,pairs:24,completionMax:62us [09m33s] 13563 ab:aabab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13563 ab:aabab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13564 solved: rounds:4,rules:2,peak:11,longest:11,steps:12,word:2,work:5117,nodes:50,pairs:70,completionMax:263us [09m33s] 13564 ab:aabab=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13564 ab:aabab=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13565 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:873,nodes:30,pairs:23,completionMax:90us [09m33s] 13565 ab:aabab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13565 ab:aabab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13566 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:2,work:184,nodes:24,pairs:6,completionMax:25us [09m33s] 13566 ab:aabab=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13566 ab:aabab=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13567 solved: rounds:2,rules:2,peak:9,longest:8,steps:4,word:2,work:862,nodes:36,pairs:18,completionMax:84us [09m33s] 13567 ab:aabab=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13567 ab:aabab=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13568 solved: rounds:4,rules:2,peak:8,longest:15,steps:7,word:8,work:1557,nodes:46,pairs:53,completionMax:198us [09m33s] 13568 ab:aabab=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13568 ab:aabab=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13569 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:2,work:820,nodes:32,pairs:26,completionMax:79us [09m33s] 13569 ab:aabab=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13569 ab:aabab=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13570 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:389,nodes:24,pairs:22,completionMax:53us [09m33s] 13570 ab:aabab=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13570 ab:aabab=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13571 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:159,nodes:20,pairs:18,completionMax:22us [09m33s] 13571 ab:aabab=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13571 ab:aabab=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13572 solved: rounds:3,rules:2,peak:13,longest:7,steps:4,word:0,work:2014,nodes:40,pairs:72,completionMax:332us [09m33s] 13572 ab:aabab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13572 ab:aabab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13573 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:861,nodes:22,pairs:32,completionMax:79us [09m33s] 13573 ab:aabab=1,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13573 ab:aabab=1,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13574 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:10,pairs:2,completionMax:9us [09m33s] 13574 ab:aabab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13574 ab:aabab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13575 solved: rounds:3,rules:2,peak:15,longest:6,steps:5,word:0,work:1542,nodes:32,pairs:55,completionMax:138us [09m33s] 13575 ab:aabab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13575 ab:aabab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13576 solved: rounds:3,rules:2,peak:8,longest:9,steps:7,word:4,work:2744,nodes:42,pairs:43,completionMax:150us [09m33s] 13576 ab:aabab=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13576 ab:aabab=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13577 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:604,nodes:24,pairs:32,completionMax:73us [09m33s] 13577 ab:aabab=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13577 ab:aabab=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13578 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:351,nodes:24,pairs:26,completionMax:55us [09m33s] 13578 ab:aabab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13578 ab:aabab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13579 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:153,nodes:24,pairs:15,completionMax:33us [09m33s] 13579 ab:aabab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13579 ab:aabab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13580 solved: rounds:3,rules:2,peak:6,longest:11,steps:6,word:3,work:1206,nodes:42,pairs:26,completionMax:138us [09m33s] 13580 ab:aabab=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13580 ab:aabab=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13581 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:609,nodes:20,pairs:26,completionMax:73us [09m33s] 13581 ab:aabab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13581 ab:aabab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13582 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:2,work:1136,nodes:38,pairs:43,completionMax:113us [09m33s] 13582 ab:aabab=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13582 ab:aabab=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13583 solved: rounds:2,rules:2,peak:6,longest:8,steps:5,word:2,work:766,nodes:32,pairs:27,completionMax:75us [09m33s] 13583 ab:aabab=1,babbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13583 ab:aabab=1,babbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13584 solved: rounds:3,rules:2,peak:10,longest:20,steps:10,word:12,work:2352,nodes:70,pairs:47,completionMax:172us [09m33s] 13584 ab:aabab=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13584 ab:aabab=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13585 solved: rounds:3,rules:2,peak:11,longest:6,steps:6,word:0,work:1144,nodes:30,pairs:62,completionMax:116us [09m33s] 13585 ab:aabab=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13585 ab:aabab=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13586 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:656,nodes:30,pairs:20,completionMax:93us [09m33s] 13586 ab:aabab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13586 ab:aabab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13587 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:328,nodes:26,pairs:21,completionMax:55us [09m33s] 13587 ab:aabab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13587 ab:aabab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13588 solved: rounds:3,rules:2,peak:12,longest:13,steps:6,word:5,work:6275,nodes:66,pairs:93,completionMax:409us [09m33s] 13588 ab:aabab=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13588 ab:aabab=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13589 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:615,nodes:26,pairs:19,completionMax:67us [09m33s] 13589 ab:aabab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13589 ab:aabab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13590 solved: rounds:4,rules:2,peak:11,longest:13,steps:12,word:3,work:4889,nodes:52,pairs:66,completionMax:496us [09m33s] 13590 ab:aabab=1,bbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13590 ab:aabab=1,bbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13591 solved: rounds:3,rules:2,peak:10,longest:10,steps:3,word:2,work:1767,nodes:58,pairs:75,completionMax:480us [09m33s] 13591 ab:aabab=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13591 ab:aabab=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13592 solved: rounds:3,rules:2,peak:12,longest:13,steps:12,word:8,work:5861,nodes:58,pairs:96,completionMax:509us [09m33s] 13592 ab:aabab=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13592 ab:aabab=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13593 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:556,nodes:36,pairs:31,completionMax:74us [09m33s] 13593 ab:aabab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13593 ab:aabab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13594 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:407,nodes:24,pairs:16,completionMax:62us [09m33s] 13594 ab:aabab=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13594 ab:aabab=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13595 solved: rounds:3,rules:2,peak:10,longest:8,steps:2,word:2,work:1082,nodes:40,pairs:52,completionMax:177us [09m33s] 13595 ab:aabab=1,bbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13595 ab:aabab=1,bbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13596 solved: rounds:3,rules:2,peak:12,longest:13,steps:18,word:16,work:4086,nodes:36,pairs:101,completionMax:521us [09m33s] 13596 ab:aabab=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13596 ab:aabab=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13597 solved: rounds:3,rules:2,peak:9,longest:8,steps:6,word:2,work:1348,nodes:36,pairs:28,completionMax:89us [09m33s] 13597 ab:aabab=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13597 ab:aabab=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13598 solved: rounds:4,rules:2,peak:11,longest:18,steps:66,word:12,work:15599,nodes:66,pairs:63,completionMax:569us [09m33s] 13598 ab:aabab=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13598 ab:aabab=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13599 solved: rounds:3,rules:2,peak:11,longest:13,steps:12,word:8,work:5038,nodes:42,pairs:66,completionMax:247us [09m33s] 13599 ab:aabab=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13599 ab:aabab=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13600 solved: rounds:4,rules:3,peak:6,longest:13,steps:20,word:4,work:2462,nodes:46,pairs:31,completionMax:146us [09m33s] 13600 ab:aabab=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa a/b - - ab:aaaaaaaaa=1,ab=ba,bb=aaaaaa [09m33s] from: 13600 ab:aabab=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaaaa,b=aaa [09m33s] # 13601 solved: rounds:2,rules:3,peak:6,longest:6,steps:4,word:0,work:697,nodes:26,pairs:27,completionMax:71us [09m33s] 13601 ab:aabba=1,aaaaaa=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [09m33s] from: 13601 ab:aabba=1,aaaaaa=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [09m33s] # 13602 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:247,nodes:18,pairs:15,completionMax:49us [09m33s] 13602 ab:aabba=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13602 ab:aabba=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13603 solved: rounds:4,rules:2,peak:11,longest:10,steps:12,word:2,work:5338,nodes:44,pairs:83,completionMax:356us [09m33s] 13603 ab:aabba=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13603 ab:aabba=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13604 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:182,nodes:20,pairs:16,completionMax:35us [09m33s] 13604 ab:aabba=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13604 ab:aabba=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13605 solved: rounds:3,rules:2,peak:10,longest:10,steps:11,word:2,work:3773,nodes:40,pairs:55,completionMax:238us [09m33s] 13605 ab:aabba=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13605 ab:aabba=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13606 solved: rounds:4,rules:2,peak:8,longest:7,steps:4,word:0,work:669,nodes:32,pairs:33,completionMax:84us [09m33s] 13606 ab:aabba=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13606 ab:aabba=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13607 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:26,nodes:10,pairs:3,completionMax:6us [09m33s] 13607 ab:aabba=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13607 ab:aabba=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13608 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:191,nodes:20,pairs:10,completionMax:30us [09m33s] 13608 ab:aabba=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13608 ab:aabba=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13609 solved: rounds:3,rules:2,peak:10,longest:12,steps:4,word:2,work:2448,nodes:44,pairs:35,completionMax:195us [09m33s] 13609 ab:aabba=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13609 ab:aabba=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13610 solved: rounds:4,rules:3,peak:9,longest:6,steps:4,word:1,work:527,nodes:24,pairs:31,completionMax:86us [09m33s] 13610 ab:aabba=1,aabaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 13610 ab:aabba=1,aabaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 13611 solved: rounds:4,rules:2,peak:9,longest:6,steps:3,word:0,work:956,nodes:34,pairs:62,completionMax:140us [09m33s] 13611 ab:aabba=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13611 ab:aabba=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13612 solved: rounds:4,rules:2,peak:7,longest:6,steps:4,word:0,work:334,nodes:30,pairs:39,completionMax:68us [09m33s] 13612 ab:aabba=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13612 ab:aabba=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13613 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:3,completionMax:5us [09m33s] 13613 ab:aabba=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13613 ab:aabba=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13614 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:24,nodes:10,pairs:2,completionMax:5us [09m33s] 13614 ab:aabba=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13614 ab:aabba=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13615 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:458,nodes:18,pairs:23,completionMax:52us [09m33s] 13615 ab:aabba=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13615 ab:aabba=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13616 solved: rounds:3,rules:2,peak:7,longest:12,steps:3,word:2,work:796,nodes:40,pairs:22,completionMax:79us [09m33s] 13616 ab:aabba=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13616 ab:aabba=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13617 solved: rounds:3,rules:2,peak:10,longest:12,steps:5,word:9,work:3723,nodes:46,pairs:37,completionMax:166us [09m33s] 13617 ab:aabba=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13617 ab:aabba=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13618 solved: rounds:2,rules:2,peak:9,longest:6,steps:7,word:0,work:760,nodes:28,pairs:33,completionMax:109us [09m33s] 13618 ab:aabba=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13618 ab:aabba=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13619 solved: rounds:3,rules:3,peak:10,longest:6,steps:7,word:5,work:1896,nodes:36,pairs:30,completionMax:111us [09m33s] 13619 ab:aabba=1,abaaba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 13619 ab:aabba=1,abaaba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 13620 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:126,nodes:22,pairs:13,completionMax:24us [09m33s] 13620 ab:aabba=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13620 ab:aabba=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13621 solved: rounds:3,rules:2,peak:14,longest:6,steps:6,word:0,work:2568,nodes:36,pairs:80,completionMax:226us [09m33s] 13621 ab:aabba=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13621 ab:aabba=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13622 solved: rounds:5,rules:5,peak:12,longest:8,steps:12,word:2,work:4537,nodes:60,pairs:41,completionMax:271us [09m33s] 13622 ab:aabba=1,ababab=1 finite:24;center:1,bb;group:a-aabb,b-bbb b/a - - ab:bbbb=1,bba=abb,baa=abab,baba=aab,aaa=bb [09m33s] from: 13622 ab:aabba=1,ababab=1 finite:24;center:1,bb;group:a-aabb,b-bbb to: 13479 ab:aaabb=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb a=a,b=b [09m33s] # 13623 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:422,nodes:28,pairs:21,completionMax:46us [09m33s] 13623 ab:aabba=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13623 ab:aabba=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13624 solved: rounds:5,rules:3,peak:22,longest:23,steps:40,word:28,work:104078,nodes:118,pairs:205,completionMax:3213us [09m33s] 13624 ab:aabba=1,ababbb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13624 ab:aabba=1,ababbb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13625 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:390,nodes:22,pairs:23,completionMax:45us [09m33s] 13625 ab:aabba=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13625 ab:aabba=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13626 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:113,nodes:20,pairs:14,completionMax:25us [09m33s] 13626 ab:aabba=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13626 ab:aabba=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13627 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:191,nodes:20,pairs:18,completionMax:32us [09m33s] 13627 ab:aabba=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13627 ab:aabba=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13628 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:77,nodes:18,pairs:8,completionMax:18us [09m33s] 13628 ab:aabba=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13628 ab:aabba=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13629 solved: rounds:2,rules:2,peak:6,longest:6,steps:7,word:0,work:830,nodes:30,pairs:32,completionMax:82us [09m33s] 13629 ab:aabba=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13629 ab:aabba=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13630 solved: rounds:3,rules:3,peak:14,longest:13,steps:24,word:20,work:21200,nodes:90,pairs:122,completionMax:718us [09m33s] 13630 ab:aabba=1,abbbab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13630 ab:aabba=1,abbbab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13631 solved: rounds:2,rules:2,peak:6,longest:8,steps:5,word:2,work:525,nodes:26,pairs:18,completionMax:52us [09m33s] 13631 ab:aabba=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13631 ab:aabba=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13632 solved: rounds:5,rules:2,peak:9,longest:13,steps:26,word:8,work:5511,nodes:42,pairs:59,completionMax:209us [09m33s] 13632 ab:aabba=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13632 ab:aabba=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13633 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:521,nodes:30,pairs:21,completionMax:60us [09m33s] 13633 ab:aabba=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13633 ab:aabba=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13634 solved: rounds:2,rules:2,peak:10,longest:6,steps:4,word:0,work:562,nodes:26,pairs:34,completionMax:114us [09m33s] 13634 ab:aabba=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13634 ab:aabba=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13635 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:464,nodes:24,pairs:27,completionMax:62us [09m33s] 13635 ab:aabba=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13635 ab:aabba=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13636 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:172,nodes:20,pairs:16,completionMax:35us [09m33s] 13636 ab:aabba=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13636 ab:aabba=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13637 solved: rounds:3,rules:3,peak:9,longest:6,steps:6,word:2,work:1104,nodes:30,pairs:28,completionMax:121us [09m33s] 13637 ab:aabba=1,baabaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 13637 ab:aabba=1,baabaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 13638 solved: rounds:2,rules:2,peak:16,longest:6,steps:6,word:0,work:1328,nodes:28,pairs:27,completionMax:162us [09m33s] 13638 ab:aabba=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13638 ab:aabba=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13639 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:2,completionMax:6us [09m33s] 13639 ab:aabba=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13639 ab:aabba=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13640 solved: rounds:3,rules:2,peak:9,longest:8,steps:6,word:2,work:1154,nodes:34,pairs:27,completionMax:84us [09m33s] 13640 ab:aabba=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13640 ab:aabba=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13641 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:0,work:578,nodes:30,pairs:27,completionMax:137us [09m33s] 13641 ab:aabba=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13641 ab:aabba=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13642 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:550,nodes:26,pairs:30,completionMax:77us [09m33s] 13642 ab:aabba=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13642 ab:aabba=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13643 solved: rounds:6,rules:5,peak:10,longest:9,steps:6,word:2,work:2960,nodes:52,pairs:48,completionMax:214us [09m33s] 13643 ab:aabba=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb b/a - - ab:bbbb=1,bba=abb,baa=abab,baba=aab,aaa=bb [09m33s] from: 13643 ab:aabba=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb to: 13479 ab:aaabb=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb a=a,b=b [09m33s] # 13644 solved: rounds:3,rules:3,peak:13,longest:12,steps:16,word:19,work:5711,nodes:54,pairs:94,completionMax:428us [09m33s] 13644 ab:aabba=1,bababb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13644 ab:aabba=1,bababb=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13645 solved: rounds:2,rules:2,peak:12,longest:6,steps:3,word:0,work:871,nodes:28,pairs:35,completionMax:108us [09m33s] 13645 ab:aabba=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13645 ab:aabba=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13646 solved: rounds:2,rules:2,peak:8,longest:8,steps:4,word:2,work:821,nodes:32,pairs:18,completionMax:61us [09m33s] 13646 ab:aabba=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13646 ab:aabba=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13647 solved: rounds:3,rules:3,peak:13,longest:12,steps:20,word:15,work:5133,nodes:46,pairs:87,completionMax:364us [09m33s] 13647 ab:aabba=1,babbba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13647 ab:aabba=1,babbba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13648 solved: rounds:3,rules:2,peak:13,longest:20,steps:16,word:16,work:5642,nodes:76,pairs:62,completionMax:373us [09m33s] 13648 ab:aabba=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13648 ab:aabba=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13649 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:653,nodes:24,pairs:31,completionMax:73us [09m33s] 13649 ab:aabba=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13649 ab:aabba=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13650 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:235,nodes:22,pairs:18,completionMax:51us [09m33s] 13650 ab:aabba=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13650 ab:aabba=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13651 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:405,nodes:24,pairs:22,completionMax:61us [09m33s] 13651 ab:aabba=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13651 ab:aabba=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13652 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:103,nodes:20,pairs:10,completionMax:22us [09m33s] 13652 ab:aabba=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13652 ab:aabba=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13653 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:408,nodes:26,pairs:26,completionMax:58us [09m33s] 13653 ab:aabba=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13653 ab:aabba=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13654 solved: rounds:3,rules:3,peak:7,longest:13,steps:13,word:19,work:1791,nodes:56,pairs:25,completionMax:113us [09m33s] 13654 ab:aabba=1,bbabab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13654 ab:aabba=1,bbabab=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13655 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:2,work:230,nodes:24,pairs:16,completionMax:52us [09m33s] 13655 ab:aabba=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13655 ab:aabba=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13656 solved: rounds:2,rules:2,peak:6,longest:13,steps:10,word:12,work:1072,nodes:34,pairs:28,completionMax:111us [09m33s] 13656 ab:aabba=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13656 ab:aabba=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13657 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:288,nodes:26,pairs:15,completionMax:42us [09m33s] 13657 ab:aabba=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13657 ab:aabba=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13658 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:198,nodes:22,pairs:12,completionMax:29us [09m33s] 13658 ab:aabba=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13658 ab:aabba=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13659 solved: rounds:4,rules:3,peak:14,longest:13,steps:16,word:12,work:7649,nodes:74,pairs:88,completionMax:337us [09m33s] 13659 ab:aabba=1,bbbaba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa a/b - - ab:aaaaaaaaaaaa=1,ab=baaaaa,bb=aaaaaaaaa [09m33s] from: 13659 ab:aabba=1,bbbaba=1 finite:24;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-baaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=b,b=a [09m33s] # 13660 solved: rounds:4,rules:2,peak:10,longest:18,steps:114,word:16,work:13742,nodes:50,pairs:64,completionMax:421us [09m33s] 13660 ab:aabba=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13660 ab:aabba=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13661 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:380,nodes:28,pairs:18,completionMax:57us [09m33s] 13661 ab:aabba=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13661 ab:aabba=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13662 solved: rounds:4,rules:2,peak:8,longest:16,steps:56,word:16,work:7729,nodes:50,pairs:48,completionMax:307us [09m33s] 13662 ab:aabba=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13662 ab:aabba=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13663 solved: rounds:4,rules:2,peak:8,longest:18,steps:70,word:16,work:11106,nodes:50,pairs:70,completionMax:294us [09m33s] 13663 ab:aabba=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13663 ab:aabba=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13664 solved: rounds:4,rules:3,peak:8,longest:19,steps:23,word:12,work:2449,nodes:62,pairs:52,completionMax:195us [09m33s] 13664 ab:aabba=1,bbbbbb=1 infinite;group:a-aaaaaaaa,b-baaa a/b - - ab:aaaaaaaaa=1,aaab=baaa,bb=aaaaaa [09m33s] from: 13664 ab:aabba=1,bbbbbb=1 infinite;group:a-aaaaaaaa,b-baaa to: 13500 ab:aaabb=1,bbbbbb=1 infinite;group:a-aaaaaaaa,b-baaa a=a,b=b [09m33s] # 13665 solved: rounds:3,rules:3,peak:11,longest:6,steps:8,word:0,work:2775,nodes:46,pairs:64,completionMax:135us [09m33s] 13665 ab:abaab=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [09m33s] from: 13665 ab:abaab=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=bbb [09m33s] # 13666 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:1,work:143,nodes:18,pairs:12,completionMax:32us [09m33s] 13666 ab:abaab=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13666 ab:abaab=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13667 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:1,work:174,nodes:26,pairs:15,completionMax:36us [09m33s] 13667 ab:abaab=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13667 ab:abaab=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13668 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:123,nodes:18,pairs:5,completionMax:21us [09m33s] 13668 ab:abaab=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13668 ab:abaab=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13669 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:50,nodes:18,pairs:8,completionMax:26us [09m33s] 13669 ab:abaab=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13669 ab:abaab=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13670 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:255,nodes:18,pairs:11,completionMax:24us [09m33s] 13670 ab:abaab=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13670 ab:abaab=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13671 solved: rounds:3,rules:2,peak:5,longest:6,steps:7,word:0,work:647,nodes:22,pairs:30,completionMax:41us [09m33s] 13671 ab:abaab=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13671 ab:abaab=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13672 solved: rounds:4,rules:2,peak:4,longest:6,steps:3,word:0,work:168,nodes:18,pairs:14,completionMax:32us [09m33s] 13672 ab:abaab=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13672 ab:abaab=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13673 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:155,nodes:24,pairs:14,completionMax:36us [09m33s] 13673 ab:abaab=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13673 ab:abaab=1,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13674 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:3,completionMax:7us [09m33s] 13674 ab:abaab=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13674 ab:abaab=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13675 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:434,nodes:24,pairs:28,completionMax:60us [09m33s] 13675 ab:abaab=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13675 ab:abaab=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13676 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:0,work:216,nodes:18,pairs:12,completionMax:29us [09m33s] 13676 ab:abaab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13676 ab:abaab=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13677 solved: rounds:2,rules:2,peak:7,longest:6,steps:7,word:0,work:674,nodes:22,pairs:26,completionMax:64us [09m33s] 13677 ab:abaab=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13677 ab:abaab=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13678 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:299,nodes:22,pairs:20,completionMax:40us [09m33s] 13678 ab:abaab=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13678 ab:abaab=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13679 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:747,nodes:26,pairs:33,completionMax:64us [09m33s] 13679 ab:abaab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13679 ab:abaab=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13680 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:162,nodes:24,pairs:11,completionMax:27us [09m33s] 13680 ab:abaab=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13680 ab:abaab=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13681 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:320,nodes:24,pairs:19,completionMax:56us [09m33s] 13681 ab:abaab=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13681 ab:abaab=1,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13682 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:323,nodes:16,pairs:14,completionMax:34us [09m33s] 13682 ab:abaab=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13682 ab:abaab=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13683 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:24,nodes:10,pairs:3,completionMax:5us [09m33s] 13683 ab:abaab=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13683 ab:abaab=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13684 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:10,pairs:2,completionMax:7us [09m33s] 13684 ab:abaab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13684 ab:abaab=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13685 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:146,nodes:16,pairs:16,completionMax:28us [09m33s] 13685 ab:abaab=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13685 ab:abaab=1,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13686 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:0,work:294,nodes:18,pairs:14,completionMax:32us [09m33s] 13686 ab:abaab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13686 ab:abaab=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13687 solved: rounds:3,rules:2,peak:8,longest:6,steps:7,word:0,work:735,nodes:22,pairs:34,completionMax:79us [09m33s] 13687 ab:abaab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13687 ab:abaab=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13688 solved: rounds:3,rules:2,peak:6,longest:10,steps:3,word:2,work:455,nodes:34,pairs:14,completionMax:52us [09m33s] 13688 ab:abaab=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13688 ab:abaab=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13689 solved: rounds:2,rules:2,peak:7,longest:6,steps:6,word:0,work:738,nodes:24,pairs:26,completionMax:75us [09m33s] 13689 ab:abaab=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13689 ab:abaab=1,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13690 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:523,nodes:22,pairs:33,completionMax:76us [09m33s] 13690 ab:abaab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13690 ab:abaab=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13691 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:434,nodes:22,pairs:25,completionMax:58us [09m33s] 13691 ab:abaab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13691 ab:abaab=1,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13692 solved: rounds:3,rules:2,peak:8,longest:11,steps:3,word:2,work:832,nodes:44,pairs:26,completionMax:116us [09m33s] 13692 ab:abaab=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13692 ab:abaab=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13693 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:884,nodes:32,pairs:55,completionMax:148us [09m33s] 13693 ab:abaab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13693 ab:abaab=1,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13694 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:2,work:398,nodes:24,pairs:18,completionMax:62us [09m33s] 13694 ab:abaab=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13694 ab:abaab=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13695 solved: rounds:2,rules:2,peak:7,longest:8,steps:4,word:2,work:568,nodes:26,pairs:20,completionMax:76us [09m33s] 13695 ab:abaab=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13695 ab:abaab=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13696 solved: rounds:4,rules:2,peak:7,longest:13,steps:11,word:8,work:2051,nodes:28,pairs:31,completionMax:122us [09m33s] 13696 ab:abaab=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13696 ab:abaab=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13697 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:2,work:626,nodes:30,pairs:11,completionMax:60us [09m33s] 13697 ab:abaab=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13697 ab:abaab=1,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13698 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:517,nodes:26,pairs:19,completionMax:54us [09m33s] 13698 ab:abaab=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13698 ab:abaab=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13699 solved: rounds:2,rules:2,peak:7,longest:6,steps:7,word:0,work:640,nodes:26,pairs:26,completionMax:72us [09m33s] 13699 ab:abaab=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13699 ab:abaab=1,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13700 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:608,nodes:26,pairs:17,completionMax:70us [09m33s] 13700 ab:abaab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13700 ab:abaab=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13701 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:124,nodes:20,pairs:15,completionMax:27us [09m33s] 13701 ab:abaab=1,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13701 ab:abaab=1,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13702 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:142,nodes:20,pairs:18,completionMax:52us [09m33s] 13702 ab:abaab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13702 ab:abaab=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13703 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:135,nodes:22,pairs:15,completionMax:26us [09m33s] 13703 ab:abaab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13703 ab:abaab=1,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13704 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:3,work:94,nodes:20,pairs:9,completionMax:21us [09m33s] 13704 ab:abaab=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13704 ab:abaab=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13705 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:745,nodes:30,pairs:19,completionMax:67us [09m33s] 13705 ab:abaab=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13705 ab:abaab=1,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13706 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:2,completionMax:7us [09m33s] 13706 ab:abaab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13706 ab:abaab=1,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13707 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:463,nodes:22,pairs:28,completionMax:51us [09m33s] 13707 ab:abaab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13707 ab:abaab=1,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13708 solved: rounds:3,rules:2,peak:7,longest:14,steps:8,word:4,work:1642,nodes:48,pairs:19,completionMax:119us [09m33s] 13708 ab:abaab=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13708 ab:abaab=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13709 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:920,nodes:32,pairs:53,completionMax:90us [09m33s] 13709 ab:abaab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13709 ab:abaab=1,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13710 solved: rounds:3,rules:2,peak:10,longest:10,steps:6,word:2,work:1620,nodes:48,pairs:31,completionMax:120us [09m33s] 13710 ab:abaab=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13710 ab:abaab=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13711 solved: rounds:2,rules:2,peak:9,longest:8,steps:6,word:3,work:1428,nodes:30,pairs:26,completionMax:91us [09m33s] 13711 ab:abaab=1,babbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13711 ab:abaab=1,babbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13712 solved: rounds:3,rules:2,peak:7,longest:13,steps:12,word:4,work:2093,nodes:30,pairs:42,completionMax:165us [09m33s] 13712 ab:abaab=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13712 ab:abaab=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13713 solved: rounds:3,rules:2,peak:11,longest:6,steps:4,word:0,work:1225,nodes:36,pairs:77,completionMax:346us [09m33s] 13713 ab:abaab=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13713 ab:abaab=1,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13714 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:496,nodes:26,pairs:24,completionMax:67us [09m33s] 13714 ab:abaab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13714 ab:abaab=1,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13715 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:916,nodes:26,pairs:34,completionMax:87us [09m33s] 13715 ab:abaab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13715 ab:abaab=1,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13716 solved: rounds:3,rules:2,peak:7,longest:11,steps:7,word:3,work:1677,nodes:44,pairs:30,completionMax:151us [09m33s] 13716 ab:abaab=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13716 ab:abaab=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13717 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:447,nodes:26,pairs:18,completionMax:39us [09m33s] 13717 ab:abaab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13717 ab:abaab=1,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13718 solved: rounds:2,rules:2,peak:5,longest:8,steps:7,word:2,work:718,nodes:28,pairs:20,completionMax:53us [09m33s] 13718 ab:abaab=1,bbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13718 ab:abaab=1,bbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13719 solved: rounds:4,rules:2,peak:7,longest:8,steps:12,word:3,work:1635,nodes:32,pairs:28,completionMax:84us [09m33s] 13719 ab:abaab=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13719 ab:abaab=1,bbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13720 solved: rounds:3,rules:2,peak:10,longest:13,steps:30,word:12,work:6461,nodes:36,pairs:75,completionMax:235us [09m33s] 13720 ab:abaab=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13720 ab:abaab=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13721 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:1223,nodes:34,pairs:64,completionMax:182us [09m33s] 13721 ab:abaab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13721 ab:abaab=1,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13722 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:2,work:537,nodes:24,pairs:29,completionMax:61us [09m33s] 13722 ab:abaab=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13722 ab:abaab=1,bbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13723 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:3,work:223,nodes:20,pairs:12,completionMax:36us [09m33s] 13723 ab:abaab=1,bbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13723 ab:abaab=1,bbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13724 solved: rounds:3,rules:2,peak:11,longest:19,steps:35,word:16,work:5109,nodes:64,pairs:39,completionMax:329us [09m33s] 13724 ab:abaab=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13724 ab:abaab=1,bbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13725 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:3,work:937,nodes:30,pairs:26,completionMax:99us [09m33s] 13725 ab:abaab=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13725 ab:abaab=1,bbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13726 solved: rounds:3,rules:2,peak:7,longest:13,steps:26,word:12,work:3303,nodes:30,pairs:44,completionMax:146us [09m33s] 13726 ab:abaab=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13726 ab:abaab=1,bbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13727 solved: rounds:3,rules:2,peak:9,longest:20,steps:92,word:16,work:11185,nodes:52,pairs:25,completionMax:345us [09m33s] 13727 ab:abaab=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13727 ab:abaab=1,bbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13728 solved: rounds:3,rules:3,peak:8,longest:10,steps:12,word:4,work:2388,nodes:48,pairs:36,completionMax:171us [09m33s] 13728 ab:abaab=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa a/b - - ab:aaaaaaaaa=1,ab=ba,bb=aaaaaa [09m33s] from: 13728 ab:abaab=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaaaa,b=aaa [09m33s] # 13729 solved: rounds:3,rules:3,peak:7,longest:6,steps:8,word:0,work:1499,nodes:28,pairs:22,completionMax:131us [09m33s] 13729 ab:ababa=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb ab - - ab:ba=ab,aaa=bb,bbbb=1 [09m33s] from: 13729 ab:ababa=1,aaaaaa=1 finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=b2,b4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aabb,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=bbb [09m33s] # 13730 solved: rounds:2,rules:2,peak:4,longest:7,steps:8,word:3,work:343,nodes:22,pairs:12,completionMax:37us [09m33s] 13730 ab:ababa=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13730 ab:ababa=1,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13731 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:142,nodes:20,pairs:14,completionMax:25us [09m33s] 13731 ab:ababa=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13731 ab:ababa=1,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13732 solved: rounds:4,rules:2,peak:4,longest:6,steps:6,word:0,work:248,nodes:22,pairs:17,completionMax:29us [09m33s] 13732 ab:ababa=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13732 ab:ababa=1,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13733 solved: rounds:3,rules:2,peak:4,longest:7,steps:7,word:2,work:384,nodes:24,pairs:16,completionMax:34us [09m33s] 13733 ab:ababa=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 13733 ab:ababa=1,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 13734 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:0,work:204,nodes:20,pairs:15,completionMax:32us [09m33s] 13734 ab:ababa=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13734 ab:ababa=1,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13735 solved: rounds:4,rules:2,peak:4,longest:6,steps:7,word:0,work:357,nodes:20,pairs:20,completionMax:32us [09m33s] 13735 ab:ababa=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13735 ab:ababa=1,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13736 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:261,nodes:24,pairs:10,completionMax:19us [09m33s] 13736 ab:ababa=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13736 ab:ababa=1,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13737 solved: rounds:2,rules:2,peak:4,longest:6,steps:6,word:0,work:229,nodes:22,pairs:13,completionMax:24us [09m33s] 13737 ab:ababa=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13737 ab:ababa=1,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13738 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:33,nodes:10,pairs:3,completionMax:10us [09m33s] 13738 ab:ababa=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13738 ab:ababa=1,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13739 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:267,nodes:22,pairs:11,completionMax:48us [09m33s] 13739 ab:ababa=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13739 ab:ababa=1,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13740 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:262,nodes:24,pairs:27,completionMax:53us [09m33s] 13740 ab:ababa=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13740 ab:ababa=1,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13741 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:282,nodes:20,pairs:16,completionMax:42us [09m33s] 13741 ab:ababa=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13741 ab:ababa=1,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13742 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:375,nodes:20,pairs:18,completionMax:38us [09m33s] 13742 ab:ababa=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13742 ab:ababa=1,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13743 solved: rounds:3,rules:2,peak:4,longest:8,steps:8,word:2,work:431,nodes:24,pairs:14,completionMax:51us [09m33s] 13743 ab:ababa=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13743 ab:ababa=1,aabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13744 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:0,work:274,nodes:18,pairs:16,completionMax:28us [09m33s] 13744 ab:ababa=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13744 ab:ababa=1,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13745 solved: rounds:2,rules:2,peak:4,longest:6,steps:8,word:0,work:318,nodes:18,pairs:16,completionMax:21us [09m33s] 13745 ab:ababa=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13745 ab:ababa=1,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13746 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:194,nodes:16,pairs:12,completionMax:17us [09m33s] 13746 ab:ababa=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13746 ab:ababa=1,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13747 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:24,nodes:10,pairs:2,completionMax:5us [09m33s] 13747 ab:ababa=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13747 ab:ababa=1,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13748 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:229,nodes:14,pairs:14,completionMax:18us [09m33s] 13748 ab:ababa=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13748 ab:ababa=1,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13749 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:2,work:200,nodes:18,pairs:15,completionMax:25us [09m33s] 13749 ab:ababa=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13749 ab:ababa=1,ababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13750 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:0,work:325,nodes:22,pairs:14,completionMax:45us [09m33s] 13750 ab:ababa=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13750 ab:ababa=1,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13751 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:2,work:317,nodes:22,pairs:10,completionMax:32us [09m33s] 13751 ab:ababa=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13751 ab:ababa=1,abbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13752 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:2,work:308,nodes:20,pairs:11,completionMax:40us [09m33s] 13752 ab:ababa=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13752 ab:ababa=1,abbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13753 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:2,work:342,nodes:22,pairs:13,completionMax:40us [09m33s] 13753 ab:ababa=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13753 ab:ababa=1,abbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13754 solved: rounds:3,rules:2,peak:6,longest:18,steps:35,word:16,work:3006,nodes:48,pairs:19,completionMax:162us [09m33s] 13754 ab:ababa=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13754 ab:ababa=1,abbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13755 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:358,nodes:24,pairs:14,completionMax:42us [09m33s] 13755 ab:ababa=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 13755 ab:ababa=1,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 13756 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:312,nodes:24,pairs:12,completionMax:27us [09m33s] 13756 ab:ababa=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13756 ab:ababa=1,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13757 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:156,nodes:20,pairs:18,completionMax:28us [09m33s] 13757 ab:ababa=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 13757 ab:ababa=1,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 13758 solved: rounds:3,rules:2,peak:5,longest:8,steps:9,word:2,work:463,nodes:22,pairs:15,completionMax:43us [09m33s] 13758 ab:ababa=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13758 ab:ababa=1,baabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13759 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:97,nodes:20,pairs:10,completionMax:23us [09m33s] 13759 ab:ababa=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13759 ab:ababa=1,bababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13760 solved: rounds:3,rules:2,peak:5,longest:8,steps:10,word:2,work:559,nodes:22,pairs:16,completionMax:51us [09m33s] 13760 ab:ababa=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13760 ab:ababa=1,babbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13761 solved: rounds:4,rules:2,peak:4,longest:13,steps:26,word:8,work:1488,nodes:26,pairs:16,completionMax:77us [09m33s] 13761 ab:ababa=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13761 ab:ababa=1,babbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13762 solved: rounds:2,rules:2,peak:3,longest:8,steps:10,word:3,work:322,nodes:20,pairs:9,completionMax:32us [09m33s] 13762 ab:ababa=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 13762 ab:ababa=1,bbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 13763 solved: rounds:5,rules:2,peak:4,longest:13,steps:7,word:8,work:542,nodes:26,pairs:19,completionMax:59us [09m33s] 13763 ab:ababa=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaa [09m33s] from: 13763 ab:ababa=1,bbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b8;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbb,b=b [09m33s] # 13764 solved: rounds:5,rules:3,peak:4,longest:9,steps:25,word:4,work:1368,nodes:20,pairs:20,completionMax:75us [09m33s] 13764 ab:ababa=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa a/b - - ab:aaaaaaaaa=1,ab=ba,bb=aaaaaa [09m33s] from: 13764 ab:ababa=1,bbbbbb=1 finite:18;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,aaaaaaa,baaaaaa,aaaaaaaa,baaaaaaa,baaaaaaaa;commutative:ab:b6=1,a3=b4;saturation:ab:b6=1,a3=b4;cancellative;smith:18;group:a-aaaaaaaa,b-baaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaaaaaa,b=aaa [09m33s] # 13765 solved: rounds:4,rules:3,peak:9,longest:9,steps:7,word:1,work:4367,nodes:44,pairs:94,completionMax:392us [09m33s] 13765 ab:abbba=1,aaaaaa=1 infinite;group:a-aaaaa,b-bbaa a/b - - ab:aaaaaa=1,aab=baa,bbb=aaaa [09m33s] # 13766 solved: rounds:3,rules:2,peak:7,longest:13,steps:4,word:8,work:969,nodes:34,pairs:23,completionMax:76us [09m33s] 13766 ab:abbba=1,aaaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 13766 ab:abbba=1,aaaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 13767 solved: rounds:4,rules:2,peak:14,longest:15,steps:58,word:14,work:25891,nodes:88,pairs:125,completionMax:909us [09m33s] 13767 ab:abbba=1,aaaaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 13767 ab:abbba=1,aaaaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 13768 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:3,work:354,nodes:24,pairs:16,completionMax:64us [09m33s] 13768 ab:abbba=1,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13768 ab:abbba=1,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13769 solved: rounds:5,rules:2,peak:10,longest:16,steps:13,word:14,work:4433,nodes:52,pairs:55,completionMax:289us [09m33s] 13769 ab:abbba=1,aaabaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 13769 ab:abbba=1,aaabaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 13770 solved: rounds:3,rules:3,peak:10,longest:14,steps:16,word:19,work:5734,nodes:62,pairs:25,completionMax:175us [09m33s] 13770 ab:abbba=1,aaabab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 13770 ab:abbba=1,aaabab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13771 solved: rounds:3,rules:2,peak:11,longest:8,steps:4,word:4,work:2319,nodes:44,pairs:84,completionMax:434us [09m33s] 13771 ab:abbba=1,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13771 ab:abbba=1,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13772 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:132,nodes:24,pairs:14,completionMax:36us [09m33s] 13772 ab:abbba=1,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13772 ab:abbba=1,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13773 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:3,work:924,nodes:28,pairs:24,completionMax:129us [09m33s] 13773 ab:abbba=1,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13773 ab:abbba=1,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13774 solved: rounds:4,rules:3,peak:7,longest:15,steps:16,word:15,work:2662,nodes:46,pairs:25,completionMax:179us [09m33s] 13774 ab:abbba=1,aababa=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 13774 ab:abbba=1,aababa=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13775 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:480,nodes:28,pairs:35,completionMax:81us [09m33s] 13775 ab:abbba=1,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13775 ab:abbba=1,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13776 solved: rounds:3,rules:2,peak:10,longest:14,steps:5,word:3,work:4241,nodes:48,pairs:56,completionMax:317us [09m33s] 13776 ab:abbba=1,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13776 ab:abbba=1,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13777 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:0,work:727,nodes:26,pairs:56,completionMax:117us [09m33s] 13777 ab:abbba=1,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13777 ab:abbba=1,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13778 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:10,pairs:2,completionMax:7us [09m33s] 13778 ab:abbba=1,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13778 ab:abbba=1,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13779 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:312,nodes:24,pairs:13,completionMax:49us [09m33s] 13779 ab:abbba=1,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13779 ab:abbba=1,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13780 solved: rounds:3,rules:3,peak:12,longest:12,steps:16,word:15,work:6000,nodes:54,pairs:29,completionMax:225us [09m33s] 13780 ab:abbba=1,abaaab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 13780 ab:abbba=1,abaaab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13781 solved: rounds:4,rules:2,peak:13,longest:10,steps:23,word:3,work:4499,nodes:50,pairs:64,completionMax:335us [09m33s] 13781 ab:abbba=1,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13781 ab:abbba=1,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13782 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:382,nodes:28,pairs:25,completionMax:56us [09m33s] 13782 ab:abbba=1,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13782 ab:abbba=1,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13783 solved: rounds:5,rules:5,peak:10,longest:7,steps:6,word:2,work:2858,nodes:46,pairs:46,completionMax:221us [09m33s] 13783 ab:abbba=1,ababab=1 finite:24;center:1,aa;group:a-aaa,b-bbaa a/b - - ab:aaaa=1,aab=baa,abb=baba,abab=bba,bbb=aa [09m33s] from: 13783 ab:abbba=1,ababab=1 finite:24;center:1,aa;group:a-aaa,b-bbaa to: 13479 ab:aaabb=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb a=b,b=a [09m33s] # 13784 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:1432,nodes:34,pairs:62,completionMax:168us [09m33s] 13784 ab:abbba=1,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13784 ab:abbba=1,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13785 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:186,nodes:22,pairs:18,completionMax:33us [09m33s] 13785 ab:abbba=1,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13785 ab:abbba=1,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13786 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:529,nodes:24,pairs:21,completionMax:73us [09m33s] 13786 ab:abbba=1,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13786 ab:abbba=1,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13787 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:3,work:268,nodes:20,pairs:10,completionMax:29us [09m33s] 13787 ab:abbba=1,abbabb=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 13787 ab:abbba=1,abbabb=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 13788 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:30,nodes:10,pairs:3,completionMax:7us [09m33s] 13788 ab:abbba=1,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13788 ab:abbba=1,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13789 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:501,nodes:24,pairs:20,completionMax:63us [09m33s] 13789 ab:abbba=1,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13789 ab:abbba=1,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13790 solved: rounds:3,rules:2,peak:9,longest:19,steps:9,word:12,work:3684,nodes:54,pairs:31,completionMax:192us [09m33s] 13790 ab:abbba=1,abbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 13790 ab:abbba=1,abbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 13791 solved: rounds:3,rules:2,peak:8,longest:8,steps:7,word:2,work:1434,nodes:34,pairs:28,completionMax:120us [09m33s] 13791 ab:abbba=1,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 13791 ab:abbba=1,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaa,b=aaaaaa [09m33s] # 13792 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:548,nodes:28,pairs:23,completionMax:58us [09m33s] 13792 ab:abbba=1,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13792 ab:abbba=1,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13793 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:672,nodes:28,pairs:32,completionMax:87us [09m33s] 13793 ab:abbba=1,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 13793 ab:abbba=1,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 13794 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:231,nodes:22,pairs:22,completionMax:32us [09m33s] 13794 ab:abbba=1,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13794 ab:abbba=1,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13795 solved: rounds:2,rules:2,peak:9,longest:6,steps:3,word:0,work:558,nodes:26,pairs:34,completionMax:61us [09m33s] 13795 ab:abbba=1,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13795 ab:abbba=1,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13796 solved: rounds:2,rules:3,peak:9,longest:6,steps:5,word:2,work:1001,nodes:26,pairs:29,completionMax:79us [09m33s] 13796 ab:abbba=1,babbab=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 13796 ab:abbba=1,babbab=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 13797 solved: rounds:4,rules:2,peak:17,longest:13,steps:8,word:5,work:8683,nodes:64,pairs:133,completionMax:540us [09m33s] 13797 ab:abbba=1,babbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 13797 ab:abbba=1,babbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 13798 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:0,work:580,nodes:22,pairs:27,completionMax:57us [09m33s] 13798 ab:abbba=1,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 13798 ab:abbba=1,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 13799 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:6,work:461,nodes:26,pairs:22,completionMax:64us [09m33s] 13799 ab:abbba=1,bbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 13799 ab:abbba=1,bbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 13800 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:233,nodes:20,pairs:11,completionMax:33us [09m33s] 13800 ab:abbba=1,bbbbbb=1 infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 13800 ab:abbba=1,bbbbbb=1 infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 13801 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:7us [09m33s] 13801 ab:aaaa=a,aaaaaa=1 infinite ab - - ab:aaa=1 [09m33s] from: 13801 ab:aaaa=a,aaaaaa=1 infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [09m33s] # 13802 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:8,pairs:4,completionMax:16us [09m33s] 13802 ab:aaaa=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13802 ab:aaaa=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13803 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:8,completionMax:16us [09m33s] 13803 ab:aaaa=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13803 ab:aaaa=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13804 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:80,nodes:16,pairs:6,completionMax:28us [09m33s] 13804 ab:aaaa=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13804 ab:aaaa=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13805 solved: rounds:1,rules:2,peak:5,longest:6,steps:3,word:0,work:186,nodes:16,pairs:7,completionMax:36us [09m33s] 13805 ab:aaaa=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13805 ab:aaaa=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13806 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:169,nodes:16,pairs:12,completionMax:50us [09m33s] 13806 ab:aaaa=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13806 ab:aaaa=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13807 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:3,work:399,nodes:18,pairs:27,completionMax:79us [09m33s] 13807 ab:aaaa=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13807 ab:aaaa=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13808 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:56,nodes:16,pairs:5,completionMax:15us [09m33s] 13808 ab:aaaa=a,aaabbb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13808 ab:aaaa=a,aaabbb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13809 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:88,nodes:20,pairs:4,completionMax:30us [09m33s] 13809 ab:aaaa=a,aabaab=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [09m33s] from: 13809 ab:aaaa=a,aabaab=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [09m33s] # 13810 solved: rounds:6,rules:2,peak:5,longest:6,steps:3,word:3,work:570,nodes:20,pairs:41,completionMax:127us [09m33s] 13810 ab:aaaa=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13810 ab:aaaa=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13811 solved: rounds:5,rules:3,peak:6,longest:9,steps:20,word:54,work:2879,nodes:30,pairs:32,completionMax:125us [09m33s] 13811 ab:aaaa=a,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13811 ab:aaaa=a,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13812 solved: rounds:2,rules:2,peak:7,longest:6,steps:6,word:3,work:1084,nodes:24,pairs:51,completionMax:145us [09m33s] 13812 ab:aaaa=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13812 ab:aaaa=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13813 solved: rounds:6,rules:3,peak:5,longest:10,steps:13,word:6,work:1085,nodes:40,pairs:26,completionMax:92us [09m33s] 13813 ab:aaaa=a,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13813 ab:aaaa=a,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13814 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:182,nodes:20,pairs:14,completionMax:41us [09m33s] 13814 ab:aaaa=a,aabbba=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13814 ab:aaaa=a,aabbba=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13815 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:3,work:183,nodes:34,pairs:9,completionMax:42us [09m33s] 13815 ab:aaaa=a,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13815 ab:aaaa=a,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13816 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:3,work:266,nodes:16,pairs:16,completionMax:64us [09m33s] 13816 ab:aaaa=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13816 ab:aaaa=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13817 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:155,nodes:24,pairs:10,completionMax:23us [09m33s] 13817 ab:aaaa=a,abaaba=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [09m33s] from: 13817 ab:aaaa=a,abaaba=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [09m33s] # 13818 solved: rounds:5,rules:3,peak:7,longest:48,steps:92,word:51,work:31947,nodes:140,pairs:104,completionMax:1713us [09m33s] 13818 ab:aaaa=a,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13818 ab:aaaa=a,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13819 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:63,nodes:22,pairs:2,completionMax:14us [09m33s] 13819 ab:aaaa=a,ababab=1 infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [09m33s] from: 13819 ab:aaaa=a,ababab=1 infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [09m33s] # 13820 solved: rounds:5,rules:3,peak:8,longest:10,steps:395,word:2361,work:99653,nodes:24,pairs:61,completionMax:2369us [09m33s] 13820 ab:aaaa=a,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13820 ab:aaaa=a,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13821 solved: rounds:5,rules:4,peak:8,longest:13,steps:8,word:9,work:2444,nodes:60,pairs:23,completionMax:118us [09m33s] 13821 ab:aaaa=a,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13821 ab:aaaa=a,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13822 solved: rounds:5,rules:3,peak:10,longest:10,steps:17,word:9,work:3863,nodes:34,pairs:44,completionMax:178us [09m33s] 13822 ab:aaaa=a,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13822 ab:aaaa=a,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13823 solved: rounds:5,rules:4,peak:5,longest:7,steps:3,word:0,work:398,nodes:30,pairs:10,completionMax:63us [09m33s] 13823 ab:aaaa=a,abbabb=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [09m33s] from: 13823 ab:aaaa=a,abbabb=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [09m33s] # 13824 solved: rounds:4,rules:4,peak:8,longest:15,steps:9,word:6,work:2683,nodes:64,pairs:30,completionMax:138us [09m33s] 13824 ab:aaaa=a,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13824 ab:aaaa=a,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13825 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:6,work:233,nodes:28,pairs:8,completionMax:35us [09m33s] 13825 ab:aaaa=a,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13825 ab:aaaa=a,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13826 solved: rounds:3,rules:2,peak:4,longest:15,steps:2,word:9,work:142,nodes:40,pairs:6,completionMax:41us [09m33s] 13826 ab:aaaa=a,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13826 ab:aaaa=a,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13827 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:147,nodes:12,pairs:9,completionMax:32us [09m33s] 13827 ab:aaaa=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13827 ab:aaaa=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13828 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:354,nodes:24,pairs:16,completionMax:48us [09m33s] 13828 ab:aaaa=a,baaabb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13828 ab:aaaa=a,baaabb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13829 solved: rounds:5,rules:3,peak:17,longest:9,steps:17,word:9,work:6865,nodes:54,pairs:123,completionMax:534us [09m33s] 13829 ab:aaaa=a,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13829 ab:aaaa=a,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13830 solved: rounds:3,rules:2,peak:7,longest:12,steps:5,word:9,work:1536,nodes:56,pairs:19,completionMax:78us [09m33s] 13830 ab:aaaa=a,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13830 ab:aaaa=a,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13831 solved: rounds:5,rules:4,peak:10,longest:14,steps:14,word:12,work:5894,nodes:74,pairs:47,completionMax:309us [09m33s] 13831 ab:aaaa=a,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13831 ab:aaaa=a,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13832 solved: rounds:4,rules:4,peak:6,longest:8,steps:3,word:0,work:683,nodes:32,pairs:21,completionMax:59us [09m33s] 13832 ab:aaaa=a,babbab=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [09m33s] from: 13832 ab:aaaa=a,babbab=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [09m33s] # 13833 solved: rounds:6,rules:2,peak:6,longest:15,steps:8,word:9,work:1201,nodes:30,pairs:16,completionMax:89us [09m33s] 13833 ab:aaaa=a,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13833 ab:aaaa=a,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13834 solved: rounds:4,rules:2,peak:7,longest:12,steps:13,word:6,work:1839,nodes:36,pairs:21,completionMax:102us [09m33s] 13834 ab:aaaa=a,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13834 ab:aaaa=a,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13835 solved: rounds:6,rules:2,peak:8,longest:15,steps:6,word:9,work:1694,nodes:36,pairs:21,completionMax:91us [09m33s] 13835 ab:aaaa=a,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13835 ab:aaaa=a,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13836 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:8,nodes:18,pairs:0,completionMax:4us [09m33s] 13836 ab:aaaa=a,bbbbbb=1 infinite ab - - ab:aaaa=a,bbbbbb=1 [09m33s] # 13837 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:5us [09m33s] 13837 ab:aaaa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13837 ab:aaaa=b,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13838 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:3,work:6,nodes:18,pairs:0,completionMax:5us [09m33s] 13838 ab:aaaa=b,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 13838 ab:aaaa=b,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 13839 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:3,work:5,nodes:18,pairs:0,completionMax:4us [09m33s] 13839 ab:aaaa=b,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 13839 ab:aaaa=b,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 13840 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:14,nodes:24,pairs:0,completionMax:5us [09m33s] 13840 ab:aaaa=b,aaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13840 ab:aaaa=b,aaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13841 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:3,work:4,nodes:18,pairs:0,completionMax:3us [09m33s] 13841 ab:aaaa=b,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 13841 ab:aaaa=b,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 13842 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:13,nodes:24,pairs:0,completionMax:5us [09m33s] 13842 ab:aaaa=b,aaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13842 ab:aaaa=b,aaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13843 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:12,nodes:24,pairs:0,completionMax:5us [09m33s] 13843 ab:aaaa=b,aaabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13843 ab:aaaa=b,aaabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13844 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:24,nodes:30,pairs:0,completionMax:7us [09m33s] 13844 ab:aaaa=b,aaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13844 ab:aaaa=b,aaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13845 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:12,nodes:24,pairs:0,completionMax:10us [09m33s] 13845 ab:aaaa=b,aabaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13845 ab:aaaa=b,aabaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13846 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:11,nodes:24,pairs:0,completionMax:8us [09m33s] 13846 ab:aaaa=b,aababa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13846 ab:aaaa=b,aababa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13847 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:23,nodes:30,pairs:0,completionMax:11us [09m33s] 13847 ab:aaaa=b,aababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13847 ab:aaaa=b,aababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13848 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:10,nodes:24,pairs:0,completionMax:9us [09m33s] 13848 ab:aaaa=b,aabbaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13848 ab:aaaa=b,aabbaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13849 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:22,nodes:30,pairs:0,completionMax:8us [09m33s] 13849 ab:aaaa=b,aabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13849 ab:aaaa=b,aabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13850 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:21,nodes:30,pairs:0,completionMax:9us [09m33s] 13850 ab:aaaa=b,aabbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13850 ab:aaaa=b,aabbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13851 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:36,nodes:36,pairs:0,completionMax:11us [09m33s] 13851 ab:aaaa=b,aabbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13851 ab:aaaa=b,aabbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13852 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:11,nodes:24,pairs:0,completionMax:6us [09m33s] 13852 ab:aaaa=b,abaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13852 ab:aaaa=b,abaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13853 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:10,nodes:24,pairs:0,completionMax:5us [09m33s] 13853 ab:aaaa=b,abaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13853 ab:aaaa=b,abaaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13854 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:22,nodes:30,pairs:0,completionMax:13us [09m33s] 13854 ab:aaaa=b,abaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13854 ab:aaaa=b,abaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13855 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:21,nodes:30,pairs:0,completionMax:8us [09m33s] 13855 ab:aaaa=b,ababab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13855 ab:aaaa=b,ababab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13856 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:20,nodes:30,pairs:0,completionMax:12us [09m33s] 13856 ab:aaaa=b,ababba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13856 ab:aaaa=b,ababba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13857 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:35,nodes:36,pairs:0,completionMax:12us [09m33s] 13857 ab:aaaa=b,ababbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13857 ab:aaaa=b,ababbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13858 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:20,nodes:30,pairs:0,completionMax:9us [09m33s] 13858 ab:aaaa=b,abbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13858 ab:aaaa=b,abbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13859 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:34,nodes:36,pairs:0,completionMax:14us [09m33s] 13859 ab:aaaa=b,abbabb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13859 ab:aaaa=b,abbabb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13860 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:33,nodes:36,pairs:0,completionMax:15us [09m33s] 13860 ab:aaaa=b,abbbab=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13860 ab:aaaa=b,abbbab=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13861 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:32,nodes:36,pairs:0,completionMax:14us [09m33s] 13861 ab:aaaa=b,abbbba=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13861 ab:aaaa=b,abbbba=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13862 solved: rounds:0,rules:2,peak:2,longest:21,steps:5,word:15,work:50,nodes:42,pairs:0,completionMax:15us [09m33s] 13862 ab:aaaa=b,abbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13862 ab:aaaa=b,abbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbbbb,b=b [09m33s] # 13863 solved: rounds:0,rules:2,peak:2,longest:12,steps:2,word:6,work:10,nodes:24,pairs:0,completionMax:5us [09m33s] 13863 ab:aaaa=b,baaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13863 ab:aaaa=b,baaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a4;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbb [09m33s] # 13864 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:21,nodes:30,pairs:0,completionMax:8us [09m33s] 13864 ab:aaaa=b,baaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13864 ab:aaaa=b,baaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13865 solved: rounds:0,rules:2,peak:2,longest:15,steps:3,word:9,work:20,nodes:30,pairs:0,completionMax:7us [09m33s] 13865 ab:aaaa=b,baabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13865 ab:aaaa=b,baabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b4;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaa,b=a [09m33s] # 13866 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:34,nodes:36,pairs:0,completionMax:10us [09m33s] 13866 ab:aaaa=b,baabbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13866 ab:aaaa=b,baabbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13867 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:33,nodes:36,pairs:0,completionMax:10us [09m33s] 13867 ab:aaaa=b,bababb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13867 ab:aaaa=b,bababb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13868 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:32,nodes:36,pairs:0,completionMax:10us [09m33s] 13868 ab:aaaa=b,babbab=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13868 ab:aaaa=b,babbab=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13869 solved: rounds:0,rules:2,peak:2,longest:21,steps:5,word:15,work:49,nodes:42,pairs:0,completionMax:16us [09m33s] 13869 ab:aaaa=b,babbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13869 ab:aaaa=b,babbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbbbb,b=b [09m33s] # 13870 solved: rounds:0,rules:2,peak:2,longest:18,steps:4,word:12,work:32,nodes:36,pairs:0,completionMax:19us [09m33s] 13870 ab:aaaa=b,bbaabb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13870 ab:aaaa=b,bbaabb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a4;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=aaaaaaaaaa [09m33s] # 13871 solved: rounds:0,rules:2,peak:2,longest:21,steps:5,word:15,work:48,nodes:42,pairs:0,completionMax:19us [09m33s] 13871 ab:aaaa=b,bbabbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13871 ab:aaaa=b,bbabbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b16;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbbbb,b=b [09m33s] # 13872 solved: rounds:0,rules:2,peak:2,longest:24,steps:6,word:18,work:66,nodes:48,pairs:0,completionMax:24us [09m33s] 13872 ab:aaaa=b,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a4;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,b=aaaa [09m33s] from: 13872 ab:aaaa=b,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a4;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaaaa to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=a,b=aaaa [09m33s] # 13873 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:3,work:23,nodes:12,pairs:3,completionMax:18us [09m33s] 13873 ab:aaab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13873 ab:aaab=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13874 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:8,pairs:3,completionMax:8us [09m33s] 13874 ab:aaab=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13874 ab:aaab=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13875 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:3,completionMax:8us [09m33s] 13875 ab:aaab=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13875 ab:aaab=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13876 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:0,completionMax:1us [09m33s] 13876 ab:aaab=a,aaaabb=1 infinite ab - - ab:aab=1 [09m33s] from: 13876 ab:aaab=a,aaaabb=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [09m33s] # 13877 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:3,completionMax:6us [09m33s] 13877 ab:aaab=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13877 ab:aaab=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13878 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:1us [09m33s] 13878 ab:aaab=a,aaabab=1 infinite ab - - ab:aab=1 [09m33s] from: 13878 ab:aaab=a,aaabab=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [09m33s] # 13879 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:34,nodes:12,pairs:2,completionMax:8us [09m33s] 13879 ab:aaab=a,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13879 ab:aaab=a,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13880 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:10,pairs:4,completionMax:8us [09m33s] 13880 ab:aaab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13880 ab:aaab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13881 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:125,nodes:14,pairs:11,completionMax:33us [09m33s] 13881 ab:aaab=a,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13881 ab:aaab=a,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13882 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:14,pairs:0,completionMax:2us [09m33s] 13882 ab:aaab=a,aabaab=1 infinite ab - - ab:aaab=a,aabaab=1 [09m33s] # 13883 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:190,nodes:20,pairs:10,completionMax:29us [09m33s] 13883 ab:aaab=a,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13883 ab:aaab=a,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13884 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:33,nodes:14,pairs:6,completionMax:15us [09m33s] 13884 ab:aaab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13884 ab:aaab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13885 solved: rounds:1,rules:2,peak:6,longest:6,steps:4,word:0,work:264,nodes:24,pairs:5,completionMax:31us [09m33s] 13885 ab:aaab=a,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13885 ab:aaab=a,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13886 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:0,work:168,nodes:18,pairs:17,completionMax:36us [09m33s] 13886 ab:aaab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13886 ab:aaab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13887 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:351,nodes:20,pairs:18,completionMax:45us [09m33s] 13887 ab:aaab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13887 ab:aaab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13888 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:3,work:26,nodes:18,pairs:8,completionMax:20us [09m33s] 13888 ab:aaab=a,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13888 ab:aaab=a,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13889 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:456,nodes:20,pairs:25,completionMax:51us [09m33s] 13889 ab:aaab=a,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13889 ab:aaab=a,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13890 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:36,nodes:12,pairs:2,completionMax:14us [09m33s] 13890 ab:aaab=a,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13890 ab:aaab=a,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13891 solved: rounds:1,rules:2,peak:4,longest:6,steps:4,word:0,work:94,nodes:18,pairs:2,completionMax:15us [09m33s] 13891 ab:aaab=a,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13891 ab:aaab=a,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13892 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:30,nodes:16,pairs:5,completionMax:13us [09m33s] 13892 ab:aaab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13892 ab:aaab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13893 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:429,nodes:24,pairs:20,completionMax:46us [09m33s] 13893 ab:aaab=a,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13893 ab:aaab=a,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13894 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:0,work:127,nodes:20,pairs:10,completionMax:35us [09m33s] 13894 ab:aaab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13894 ab:aaab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13895 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:159,nodes:18,pairs:15,completionMax:34us [09m33s] 13895 ab:aaab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13895 ab:aaab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13896 solved: rounds:4,rules:2,peak:4,longest:6,steps:3,word:6,work:67,nodes:20,pairs:7,completionMax:26us [09m33s] 13896 ab:aaab=a,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13896 ab:aaab=a,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13897 solved: rounds:1,rules:2,peak:6,longest:6,steps:5,word:0,work:374,nodes:22,pairs:5,completionMax:35us [09m33s] 13897 ab:aaab=a,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13897 ab:aaab=a,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13898 solved: rounds:3,rules:2,peak:11,longest:6,steps:3,word:0,work:1192,nodes:26,pairs:92,completionMax:196us [09m33s] 13898 ab:aaab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13898 ab:aaab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13899 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:513,nodes:28,pairs:28,completionMax:72us [09m33s] 13899 ab:aaab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13899 ab:aaab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13900 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:0,work:98,nodes:22,pairs:8,completionMax:34us [09m33s] 13900 ab:aaab=a,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13900 ab:aaab=a,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13901 solved: rounds:3,rules:2,peak:11,longest:6,steps:3,word:0,work:786,nodes:26,pairs:37,completionMax:92us [09m33s] 13901 ab:aaab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13901 ab:aaab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13902 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:3,work:1095,nodes:30,pairs:46,completionMax:165us [09m33s] 13902 ab:aaab=a,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13902 ab:aaab=a,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13903 solved: rounds:3,rules:2,peak:9,longest:8,steps:70,word:6,work:3558,nodes:30,pairs:29,completionMax:172us [09m33s] 13903 ab:aaab=a,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13903 ab:aaab=a,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13904 solved: rounds:5,rules:2,peak:4,longest:11,steps:2,word:6,work:223,nodes:24,pairs:13,completionMax:60us [09m33s] 13904 ab:aaab=a,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13904 ab:aaab=a,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13905 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:471,nodes:22,pairs:23,completionMax:65us [09m33s] 13905 ab:aaab=a,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13905 ab:aaab=a,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13906 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:40,nodes:12,pairs:2,completionMax:11us [09m33s] 13906 ab:aaab=a,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13906 ab:aaab=a,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13907 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:39,nodes:12,pairs:2,completionMax:11us [09m33s] 13907 ab:aaab=a,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13907 ab:aaab=a,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13908 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:0,work:124,nodes:12,pairs:10,completionMax:30us [09m33s] 13908 ab:aaab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13908 ab:aaab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13909 solved: rounds:1,rules:2,peak:4,longest:6,steps:5,word:0,work:91,nodes:18,pairs:2,completionMax:12us [09m33s] 13909 ab:aaab=a,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13909 ab:aaab=a,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13910 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:139,nodes:20,pairs:15,completionMax:36us [09m33s] 13910 ab:aaab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13910 ab:aaab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13911 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:346,nodes:22,pairs:20,completionMax:66us [09m33s] 13911 ab:aaab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13911 ab:aaab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13912 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:6,work:300,nodes:22,pairs:20,completionMax:44us [09m33s] 13912 ab:aaab=a,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13912 ab:aaab=a,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13913 solved: rounds:1,rules:2,peak:5,longest:6,steps:6,word:0,work:217,nodes:18,pairs:4,completionMax:15us [09m33s] 13913 ab:aaab=a,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13913 ab:aaab=a,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13914 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:0,work:1080,nodes:28,pairs:54,completionMax:138us [09m33s] 13914 ab:aaab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13914 ab:aaab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13915 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:160,nodes:20,pairs:15,completionMax:35us [09m33s] 13915 ab:aaab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13915 ab:aaab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13916 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:6,work:1527,nodes:34,pairs:56,completionMax:176us [09m33s] 13916 ab:aaab=a,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13916 ab:aaab=a,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13917 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:264,nodes:18,pairs:18,completionMax:38us [09m33s] 13917 ab:aaab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13917 ab:aaab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13918 solved: rounds:4,rules:2,peak:13,longest:8,steps:4,word:6,work:2427,nodes:48,pairs:77,completionMax:277us [09m33s] 13918 ab:aaab=a,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13918 ab:aaab=a,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13919 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:3,work:305,nodes:20,pairs:18,completionMax:39us [09m33s] 13919 ab:aaab=a,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13919 ab:aaab=a,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13920 solved: rounds:4,rules:2,peak:7,longest:9,steps:4,word:6,work:717,nodes:30,pairs:35,completionMax:107us [09m33s] 13920 ab:aaab=a,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13920 ab:aaab=a,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13921 solved: rounds:1,rules:2,peak:5,longest:6,steps:4,word:0,work:155,nodes:18,pairs:4,completionMax:20us [09m33s] 13921 ab:aaab=a,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 13921 ab:aaab=a,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 13922 solved: rounds:3,rules:2,peak:7,longest:4,steps:2,word:0,work:204,nodes:14,pairs:20,completionMax:51us [09m33s] 13922 ab:aaab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13922 ab:aaab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13923 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:167,nodes:20,pairs:17,completionMax:43us [09m33s] 13923 ab:aaab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13923 ab:aaab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13924 solved: rounds:3,rules:2,peak:11,longest:8,steps:4,word:3,work:1439,nodes:36,pairs:44,completionMax:146us [09m33s] 13924 ab:aaab=a,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13924 ab:aaab=a,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13925 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:343,nodes:26,pairs:24,completionMax:71us [09m33s] 13925 ab:aaab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13925 ab:aaab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13926 solved: rounds:3,rules:2,peak:12,longest:9,steps:6,word:3,work:2153,nodes:50,pairs:88,completionMax:344us [09m33s] 13926 ab:aaab=a,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13926 ab:aaab=a,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13927 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:6,work:643,nodes:38,pairs:25,completionMax:90us [09m33s] 13927 ab:aaab=a,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13927 ab:aaab=a,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13928 solved: rounds:3,rules:2,peak:8,longest:9,steps:26,word:12,work:2368,nodes:26,pairs:37,completionMax:178us [09m33s] 13928 ab:aaab=a,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13928 ab:aaab=a,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13929 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:244,nodes:18,pairs:19,completionMax:43us [09m33s] 13929 ab:aaab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13929 ab:aaab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13930 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:3,work:1403,nodes:38,pairs:44,completionMax:120us [09m33s] 13930 ab:aaab=a,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13930 ab:aaab=a,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13931 solved: rounds:3,rules:2,peak:11,longest:7,steps:4,word:3,work:1243,nodes:36,pairs:40,completionMax:151us [09m33s] 13931 ab:aaab=a,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13931 ab:aaab=a,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13932 solved: rounds:3,rules:2,peak:14,longest:12,steps:10,word:12,work:5429,nodes:54,pairs:62,completionMax:221us [09m33s] 13932 ab:aaab=a,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13932 ab:aaab=a,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13933 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:3,work:714,nodes:26,pairs:44,completionMax:155us [09m33s] 13933 ab:aaab=a,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 13933 ab:aaab=a,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 13934 solved: rounds:4,rules:2,peak:12,longest:9,steps:5,word:6,work:1764,nodes:34,pairs:54,completionMax:166us [09m33s] 13934 ab:aaab=a,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13934 ab:aaab=a,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13935 solved: rounds:4,rules:2,peak:10,longest:10,steps:6,word:6,work:1809,nodes:40,pairs:46,completionMax:190us [09m33s] 13935 ab:aaab=a,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 13935 ab:aaab=a,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 13936 solved: rounds:6,rules:3,peak:4,longest:13,steps:5,word:9,work:287,nodes:36,pairs:6,completionMax:70us [09m33s] 13936 ab:aaab=a,bbbbbb=1 finite:78;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaaaa,bbbbaaaaaaaa,bbbbbaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,ab=aaaaaaaaaaa,bbbbbb=1 [09m33s] # 13937 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:5us [09m33s] 13937 ab:aaab=b,aaaaaa=1 infinite ab - - ab:aaab=b,aaaaaa=1 [09m33s] # 13938 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:2,completionMax:6us [09m33s] 13938 ab:aaab=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13938 ab:aaab=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13939 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:12,pairs:10,completionMax:30us [09m33s] 13939 ab:aaab=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13939 ab:aaab=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13940 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:55,nodes:16,pairs:5,completionMax:29us [09m33s] 13940 ab:aaab=b,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13940 ab:aaab=b,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13941 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:96,nodes:12,pairs:7,completionMax:21us [09m33s] 13941 ab:aaab=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13941 ab:aaab=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13942 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:123,nodes:12,pairs:9,completionMax:31us [09m33s] 13942 ab:aaab=b,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13942 ab:aaab=b,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13943 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:217,nodes:18,pairs:15,completionMax:38us [09m33s] 13943 ab:aaab=b,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13943 ab:aaab=b,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13944 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:12,pairs:1,completionMax:5us [09m33s] 13944 ab:aaab=b,aaabbb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13944 ab:aaab=b,aaabbb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13945 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:0,work:364,nodes:20,pairs:31,completionMax:49us [09m33s] 13945 ab:aaab=b,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13945 ab:aaab=b,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13946 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:25,nodes:20,pairs:5,completionMax:15us [09m33s] 13946 ab:aaab=b,aabaab=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [09m33s] from: 13946 ab:aaab=b,aabaab=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [09m33s] # 13947 solved: rounds:5,rules:2,peak:7,longest:6,steps:5,word:3,work:524,nodes:20,pairs:32,completionMax:86us [09m33s] 13947 ab:aaab=b,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13947 ab:aaab=b,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13948 solved: rounds:4,rules:3,peak:7,longest:10,steps:20,word:12,work:3842,nodes:46,pairs:36,completionMax:185us [09m33s] 13948 ab:aaab=b,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13948 ab:aaab=b,aababb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13949 solved: rounds:4,rules:2,peak:7,longest:6,steps:3,word:3,work:344,nodes:20,pairs:35,completionMax:97us [09m33s] 13949 ab:aaab=b,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13949 ab:aaab=b,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13950 solved: rounds:5,rules:3,peak:8,longest:9,steps:8,word:6,work:1051,nodes:30,pairs:31,completionMax:123us [09m33s] 13950 ab:aaab=b,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13950 ab:aaab=b,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13951 solved: rounds:2,rules:2,peak:5,longest:6,steps:1,word:0,work:87,nodes:20,pairs:10,completionMax:32us [09m33s] 13951 ab:aaab=b,aabbba=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13951 ab:aaab=b,aabbba=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13952 solved: rounds:2,rules:2,peak:3,longest:12,steps:2,word:6,work:84,nodes:24,pairs:6,completionMax:18us [09m33s] 13952 ab:aaab=b,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13952 ab:aaab=b,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13953 solved: rounds:3,rules:2,peak:10,longest:6,steps:2,word:0,work:715,nodes:24,pairs:42,completionMax:90us [09m33s] 13953 ab:aaab=b,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13953 ab:aaab=b,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13954 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:56,nodes:16,pairs:5,completionMax:23us [09m33s] 13954 ab:aaab=b,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13954 ab:aaab=b,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13955 solved: rounds:2,rules:2,peak:5,longest:6,steps:1,word:0,work:181,nodes:24,pairs:16,completionMax:42us [09m33s] 13955 ab:aaab=b,abaaba=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [09m33s] from: 13955 ab:aaab=b,abaaba=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [09m33s] # 13956 solved: rounds:4,rules:3,peak:6,longest:12,steps:26,word:15,work:3505,nodes:52,pairs:20,completionMax:147us [09m33s] 13956 ab:aaab=b,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13956 ab:aaab=b,abaabb=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13957 solved: rounds:5,rules:2,peak:12,longest:6,steps:5,word:3,work:1443,nodes:28,pairs:64,completionMax:233us [09m33s] 13957 ab:aaab=b,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13957 ab:aaab=b,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13958 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:24,pairs:7,completionMax:15us [09m33s] 13958 ab:aaab=b,ababab=1 infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [09m33s] from: 13958 ab:aaab=b,ababab=1 infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [09m33s] # 13959 solved: rounds:5,rules:3,peak:8,longest:10,steps:395,word:2361,work:99842,nodes:24,pairs:73,completionMax:3057us [09m33s] 13959 ab:aaab=b,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13959 ab:aaab=b,ababba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13960 solved: rounds:4,rules:4,peak:8,longest:13,steps:8,word:9,work:2411,nodes:60,pairs:22,completionMax:116us [09m33s] 13960 ab:aaab=b,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13960 ab:aaab=b,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13961 solved: rounds:3,rules:2,peak:12,longest:7,steps:4,word:6,work:1581,nodes:30,pairs:53,completionMax:159us [09m33s] 13961 ab:aaab=b,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13961 ab:aaab=b,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13962 solved: rounds:5,rules:3,peak:8,longest:11,steps:16,word:48,work:2562,nodes:38,pairs:40,completionMax:163us [09m33s] 13962 ab:aaab=b,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13962 ab:aaab=b,abbaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13963 solved: rounds:5,rules:3,peak:8,longest:10,steps:12,word:9,work:1689,nodes:38,pairs:42,completionMax:124us [09m33s] 13963 ab:aaab=b,abbaba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13963 ab:aaab=b,abbaba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13964 solved: rounds:4,rules:4,peak:5,longest:7,steps:3,word:0,work:412,nodes:30,pairs:15,completionMax:41us [09m33s] 13964 ab:aaab=b,abbabb=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [09m33s] from: 13964 ab:aaab=b,abbabb=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [09m33s] # 13965 solved: rounds:3,rules:2,peak:8,longest:6,steps:2,word:0,work:342,nodes:24,pairs:19,completionMax:72us [09m33s] 13965 ab:aaab=b,abbbaa=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13965 ab:aaab=b,abbbaa=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13966 solved: rounds:3,rules:4,peak:8,longest:13,steps:7,word:9,work:1854,nodes:64,pairs:18,completionMax:95us [09m33s] 13966 ab:aaab=b,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13966 ab:aaab=b,abbbab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13967 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:211,nodes:26,pairs:10,completionMax:40us [09m33s] 13967 ab:aaab=b,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13967 ab:aaab=b,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13968 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:9,work:109,nodes:40,pairs:5,completionMax:33us [09m33s] 13968 ab:aaab=b,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13968 ab:aaab=b,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13969 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:211,nodes:18,pairs:12,completionMax:36us [09m33s] 13969 ab:aaab=b,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 13969 ab:aaab=b,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 13970 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:125,nodes:12,pairs:9,completionMax:30us [09m33s] 13970 ab:aaab=b,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13970 ab:aaab=b,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13971 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:218,nodes:18,pairs:15,completionMax:48us [09m33s] 13971 ab:aaab=b,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13971 ab:aaab=b,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13972 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:6us [09m33s] 13972 ab:aaab=b,baaabb=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13972 ab:aaab=b,baaabb=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13973 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:175,nodes:18,pairs:7,completionMax:28us [09m33s] 13973 ab:aaab=b,baabaa=1 infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [09m33s] from: 13973 ab:aaab=b,baabaa=1 infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [09m33s] # 13974 solved: rounds:4,rules:3,peak:17,longest:9,steps:11,word:12,work:9051,nodes:56,pairs:102,completionMax:398us [09m33s] 13974 ab:aaab=b,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13974 ab:aaab=b,baabab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13975 solved: rounds:3,rules:3,peak:10,longest:10,steps:9,word:6,work:3304,nodes:52,pairs:54,completionMax:248us [09m33s] 13975 ab:aaab=b,baabba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13975 ab:aaab=b,baabba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13976 solved: rounds:4,rules:2,peak:6,longest:12,steps:5,word:6,work:1205,nodes:36,pairs:27,completionMax:90us [09m33s] 13976 ab:aaab=b,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13976 ab:aaab=b,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13977 solved: rounds:5,rules:2,peak:6,longest:6,steps:3,word:3,work:479,nodes:18,pairs:19,completionMax:60us [09m33s] 13977 ab:aaab=b,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13977 ab:aaab=b,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13978 solved: rounds:5,rules:3,peak:13,longest:10,steps:12,word:9,work:5953,nodes:52,pairs:114,completionMax:466us [09m33s] 13978 ab:aaab=b,babaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13978 ab:aaab=b,babaab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13979 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:124,nodes:18,pairs:4,completionMax:19us [09m33s] 13979 ab:aaab=b,bababa=1 infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [09m33s] from: 13979 ab:aaab=b,bababa=1 infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [09m33s] # 13980 solved: rounds:5,rules:4,peak:7,longest:13,steps:11,word:6,work:3143,nodes:48,pairs:30,completionMax:139us [09m33s] 13980 ab:aaab=b,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13980 ab:aaab=b,bababb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13981 solved: rounds:4,rules:3,peak:15,longest:149,steps:121,word:141,work:131273,nodes:542,pairs:200,completionMax:8428us [09m33s] 13981 ab:aaab=b,babbaa=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13981 ab:aaab=b,babbaa=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13982 solved: rounds:3,rules:4,peak:6,longest:7,steps:3,word:0,work:457,nodes:32,pairs:16,completionMax:60us [09m33s] 13982 ab:aaab=b,babbab=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [09m33s] from: 13982 ab:aaab=b,babbab=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [09m33s] # 13983 solved: rounds:3,rules:4,peak:11,longest:15,steps:10,word:9,work:5440,nodes:110,pairs:32,completionMax:285us [09m33s] 13983 ab:aaab=b,babbba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13983 ab:aaab=b,babbba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13984 solved: rounds:4,rules:2,peak:5,longest:15,steps:5,word:18,work:926,nodes:30,pairs:20,completionMax:73us [09m33s] 13984 ab:aaab=b,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13984 ab:aaab=b,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13985 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:6,work:357,nodes:18,pairs:19,completionMax:102us [09m33s] 13985 ab:aaab=b,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 13985 ab:aaab=b,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 13986 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:12,pairs:1,completionMax:8us [09m33s] 13986 ab:aaab=b,bbaaab=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13986 ab:aaab=b,bbaaab=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13987 solved: rounds:5,rules:3,peak:19,longest:10,steps:14,word:12,work:10234,nodes:56,pairs:201,completionMax:1126us [09m33s] 13987 ab:aaab=b,bbaaba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [09m33s] from: 13987 ab:aaab=b,bbaaba=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13988 solved: rounds:4,rules:2,peak:7,longest:12,steps:9,word:6,work:1643,nodes:34,pairs:25,completionMax:90us [09m33s] 13988 ab:aaab=b,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13988 ab:aaab=b,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13989 solved: rounds:5,rules:3,peak:8,longest:10,steps:12,word:9,work:1622,nodes:38,pairs:35,completionMax:162us [09m33s] 13989 ab:aaab=b,bbabaa=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [09m33s] from: 13989 ab:aaab=b,bbabaa=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [09m33s] # 13990 solved: rounds:5,rules:4,peak:9,longest:15,steps:30,word:9,work:8271,nodes:98,pairs:30,completionMax:307us [09m33s] 13990 ab:aaab=b,bbabab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13990 ab:aaab=b,bbabab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13991 solved: rounds:3,rules:4,peak:6,longest:7,steps:3,word:0,work:794,nodes:32,pairs:13,completionMax:56us [09m33s] 13991 ab:aaab=b,bbabba=1 infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [09m33s] from: 13991 ab:aaab=b,bbabba=1 infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [09m33s] # 13992 solved: rounds:5,rules:2,peak:8,longest:15,steps:6,word:9,work:1647,nodes:34,pairs:26,completionMax:117us [09m33s] 13992 ab:aaab=b,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13992 ab:aaab=b,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13993 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:215,nodes:18,pairs:10,completionMax:41us [09m33s] 13993 ab:aaab=b,bbbaaa=1 infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [09m33s] from: 13993 ab:aaab=b,bbbaaa=1 infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [09m33s] # 13994 solved: rounds:4,rules:2,peak:7,longest:12,steps:11,word:9,work:1006,nodes:34,pairs:40,completionMax:93us [09m33s] 13994 ab:aaab=b,bbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13994 ab:aaab=b,bbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13995 solved: rounds:5,rules:4,peak:12,longest:14,steps:12,word:6,work:7524,nodes:88,pairs:65,completionMax:349us [09m33s] 13995 ab:aaab=b,bbbaba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [09m33s] from: 13995 ab:aaab=b,bbbaba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 13996 solved: rounds:4,rules:2,peak:10,longest:26,steps:17,word:18,work:8358,nodes:78,pairs:45,completionMax:443us [09m33s] 13996 ab:aaab=b,bbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13996 ab:aaab=b,bbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13997 solved: rounds:3,rules:2,peak:5,longest:13,steps:2,word:6,work:303,nodes:32,pairs:14,completionMax:54us [09m33s] 13997 ab:aaab=b,bbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 13997 ab:aaab=b,bbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 13998 solved: rounds:5,rules:2,peak:10,longest:25,steps:40,word:27,work:7684,nodes:74,pairs:49,completionMax:389us [09m33s] 13998 ab:aaab=b,bbbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13998 ab:aaab=b,bbbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 13999 solved: rounds:3,rules:2,peak:6,longest:16,steps:2,word:9,work:437,nodes:36,pairs:18,completionMax:86us [09m33s] 13999 ab:aaab=b,bbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 13999 ab:aaab=b,bbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14000 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:18,pairs:1,completionMax:11us [09m33s] 14000 ab:aaab=b,bbbbbb=1 infinite;group:a-aa,b-bbbbb ab - - ab:aaa=1,bbbbbb=1 [09m33s] from: 14000 ab:aaab=b,bbbbbb=1 infinite;group:a-aa,b-bbbbb to: 2315 ab:aaa=1,bbbbbb=1 infinite;group:a-aa,b-bbbbb a=a,b=b [09m33s] # 14001 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:78,nodes:16,pairs:6,completionMax:27us [09m33s] 14001 ab:aaba=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14001 ab:aaba=a,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14002 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:109,nodes:14,pairs:10,completionMax:22us [09m33s] 14002 ab:aaba=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14002 ab:aaba=a,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14003 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:57,nodes:10,pairs:6,completionMax:13us [09m33s] 14003 ab:aaba=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14003 ab:aaba=a,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14004 solved: rounds:1,rules:1,peak:3,longest:6,steps:1,word:0,work:23,nodes:14,pairs:1,completionMax:6us [09m33s] 14004 ab:aaba=a,aaaabb=1 infinite ab - - ab:aab=1 [09m33s] from: 14004 ab:aaba=a,aaaabb=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [09m33s] # 14005 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:56,nodes:10,pairs:6,completionMax:11us [09m33s] 14005 ab:aaba=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14005 ab:aaba=a,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14006 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:3us [09m33s] 14006 ab:aaba=a,aaabab=1 infinite ab - - ab:aab=1 [09m33s] from: 14006 ab:aaba=a,aaabab=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [09m33s] # 14007 solved: rounds:1,rules:2,peak:5,longest:6,steps:3,word:0,work:110,nodes:18,pairs:3,completionMax:24us [09m33s] 14007 ab:aaba=a,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14007 ab:aaba=a,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14008 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:29,nodes:14,pairs:5,completionMax:20us [09m33s] 14008 ab:aaba=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14008 ab:aaba=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14009 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:55,nodes:10,pairs:6,completionMax:14us [09m33s] 14009 ab:aaba=a,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14009 ab:aaba=a,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14010 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:5us [09m33s] 14010 ab:aaba=a,aabaab=1 infinite ab - - ab:aab=1 [09m33s] from: 14010 ab:aaba=a,aabaab=1 infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [09m33s] # 14011 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:38,nodes:10,pairs:2,completionMax:19us [09m33s] 14011 ab:aaba=a,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14011 ab:aaba=a,aababa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14012 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:10,pairs:4,completionMax:16us [09m33s] 14012 ab:aaba=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14012 ab:aaba=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14013 solved: rounds:1,rules:2,peak:6,longest:6,steps:2,word:0,work:198,nodes:20,pairs:5,completionMax:53us [09m33s] 14013 ab:aaba=a,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14013 ab:aaba=a,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14014 solved: rounds:4,rules:2,peak:4,longest:6,steps:1,word:0,work:66,nodes:12,pairs:10,completionMax:30us [09m33s] 14014 ab:aaba=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14014 ab:aaba=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14015 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:337,nodes:18,pairs:23,completionMax:55us [09m33s] 14015 ab:aaba=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14015 ab:aaba=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14016 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:3,work:63,nodes:14,pairs:7,completionMax:23us [09m33s] 14016 ab:aaba=a,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14016 ab:aaba=a,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14017 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:213,nodes:20,pairs:20,completionMax:53us [09m33s] 14017 ab:aaba=a,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14017 ab:aaba=a,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14018 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:113,nodes:16,pairs:9,completionMax:34us [09m33s] 14018 ab:aaba=a,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14018 ab:aaba=a,abaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14019 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:40,nodes:10,pairs:2,completionMax:7us [09m33s] 14019 ab:aaba=a,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14019 ab:aaba=a,abaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14020 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:67,nodes:16,pairs:6,completionMax:15us [09m33s] 14020 ab:aaba=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14020 ab:aaba=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14021 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:97,nodes:16,pairs:9,completionMax:20us [09m33s] 14021 ab:aaba=a,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14021 ab:aaba=a,ababaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14022 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:89,nodes:16,pairs:11,completionMax:26us [09m33s] 14022 ab:aaba=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14022 ab:aaba=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14023 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:216,nodes:20,pairs:14,completionMax:34us [09m33s] 14023 ab:aaba=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14023 ab:aaba=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14024 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:91,nodes:18,pairs:8,completionMax:28us [09m33s] 14024 ab:aaba=a,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14024 ab:aaba=a,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14025 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:0,work:355,nodes:24,pairs:25,completionMax:36us [09m33s] 14025 ab:aaba=a,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14025 ab:aaba=a,abbaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14026 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:132,nodes:16,pairs:8,completionMax:21us [09m33s] 14026 ab:aaba=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14026 ab:aaba=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14027 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:241,nodes:16,pairs:18,completionMax:43us [09m33s] 14027 ab:aaba=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14027 ab:aaba=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14028 solved: rounds:5,rules:2,peak:5,longest:7,steps:2,word:3,work:164,nodes:20,pairs:16,completionMax:47us [09m33s] 14028 ab:aaba=a,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14028 ab:aaba=a,abbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14029 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:499,nodes:24,pairs:30,completionMax:79us [09m33s] 14029 ab:aaba=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14029 ab:aaba=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14030 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:3,work:353,nodes:22,pairs:26,completionMax:54us [09m33s] 14030 ab:aaba=a,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14030 ab:aaba=a,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14031 solved: rounds:5,rules:2,peak:7,longest:6,steps:3,word:3,work:399,nodes:20,pairs:19,completionMax:48us [09m33s] 14031 ab:aaba=a,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14031 ab:aaba=a,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14032 solved: rounds:6,rules:2,peak:5,longest:9,steps:6,word:6,work:334,nodes:20,pairs:16,completionMax:40us [09m33s] 14032 ab:aaba=a,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14032 ab:aaba=a,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14033 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:363,nodes:24,pairs:19,completionMax:59us [09m33s] 14033 ab:aaba=a,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14033 ab:aaba=a,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14034 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:0,work:151,nodes:22,pairs:11,completionMax:39us [09m33s] 14034 ab:aaba=a,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14034 ab:aaba=a,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14035 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:14,pairs:3,completionMax:12us [09m33s] 14035 ab:aaba=a,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14035 ab:aaba=a,baaaba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14036 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:262,nodes:22,pairs:12,completionMax:45us [09m33s] 14036 ab:aaba=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14036 ab:aaba=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14037 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:47,nodes:14,pairs:3,completionMax:16us [09m33s] 14037 ab:aaba=a,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14037 ab:aaba=a,baabaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14038 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:0,work:70,nodes:12,pairs:10,completionMax:20us [09m33s] 14038 ab:aaba=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14038 ab:aaba=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14039 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:525,nodes:22,pairs:22,completionMax:63us [09m33s] 14039 ab:aaba=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14039 ab:aaba=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14040 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:3,work:334,nodes:24,pairs:11,completionMax:41us [09m33s] 14040 ab:aaba=a,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14040 ab:aaba=a,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14041 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:64,nodes:20,pairs:7,completionMax:28us [09m33s] 14041 ab:aaba=a,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14041 ab:aaba=a,babaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14042 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:323,nodes:24,pairs:16,completionMax:58us [09m33s] 14042 ab:aaba=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14042 ab:aaba=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14043 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:116,nodes:20,pairs:13,completionMax:22us [09m33s] 14043 ab:aaba=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14043 ab:aaba=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14044 solved: rounds:3,rules:2,peak:9,longest:6,steps:17,word:6,work:1138,nodes:24,pairs:45,completionMax:110us [09m33s] 14044 ab:aaba=a,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14044 ab:aaba=a,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14045 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:340,nodes:24,pairs:21,completionMax:61us [09m33s] 14045 ab:aaba=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14045 ab:aaba=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14046 solved: rounds:4,rules:2,peak:7,longest:6,steps:3,word:6,work:574,nodes:24,pairs:30,completionMax:74us [09m33s] 14046 ab:aaba=a,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14046 ab:aaba=a,babbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14047 solved: rounds:4,rules:2,peak:6,longest:6,steps:8,word:3,work:583,nodes:24,pairs:24,completionMax:54us [09m33s] 14047 ab:aaba=a,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14047 ab:aaba=a,babbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14048 solved: rounds:5,rules:2,peak:8,longest:9,steps:3,word:6,work:496,nodes:24,pairs:32,completionMax:96us [09m33s] 14048 ab:aaba=a,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14048 ab:aaba=a,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14049 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:121,nodes:20,pairs:7,completionMax:24us [09m33s] 14049 ab:aaba=a,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14049 ab:aaba=a,bbaaaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14050 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:308,nodes:24,pairs:13,completionMax:47us [09m33s] 14050 ab:aaba=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14050 ab:aaba=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14051 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:111,nodes:14,pairs:9,completionMax:28us [09m33s] 14051 ab:aaba=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14051 ab:aaba=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14052 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:3,work:740,nodes:30,pairs:32,completionMax:112us [09m33s] 14052 ab:aaba=a,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14052 ab:aaba=a,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14053 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:125,nodes:20,pairs:13,completionMax:29us [09m33s] 14053 ab:aaba=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14053 ab:aaba=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14054 solved: rounds:5,rules:2,peak:7,longest:6,steps:4,word:3,work:543,nodes:24,pairs:26,completionMax:88us [09m33s] 14054 ab:aaba=a,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14054 ab:aaba=a,bbabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14055 solved: rounds:6,rules:2,peak:5,longest:6,steps:3,word:3,work:251,nodes:22,pairs:13,completionMax:49us [09m33s] 14055 ab:aaba=a,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14055 ab:aaba=a,bbabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14056 solved: rounds:7,rules:2,peak:8,longest:9,steps:6,word:6,work:3017,nodes:38,pairs:66,completionMax:294us [09m33s] 14056 ab:aaba=a,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14056 ab:aaba=a,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14057 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:0,work:277,nodes:20,pairs:15,completionMax:41us [09m33s] 14057 ab:aaba=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14057 ab:aaba=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14058 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:3,work:358,nodes:26,pairs:11,completionMax:71us [09m33s] 14058 ab:aaba=a,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14058 ab:aaba=a,bbbaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14059 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:135,nodes:20,pairs:10,completionMax:38us [09m33s] 14059 ab:aaba=a,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14059 ab:aaba=a,bbbaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14060 solved: rounds:6,rules:2,peak:8,longest:9,steps:7,word:6,work:1946,nodes:36,pairs:38,completionMax:130us [09m33s] 14060 ab:aaba=a,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14060 ab:aaba=a,bbbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14061 solved: rounds:6,rules:2,peak:5,longest:6,steps:5,word:3,work:248,nodes:20,pairs:13,completionMax:58us [09m33s] 14061 ab:aaba=a,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14061 ab:aaba=a,bbbbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14062 solved: rounds:9,rules:2,peak:8,longest:9,steps:6,word:6,work:1376,nodes:28,pairs:37,completionMax:163us [09m33s] 14062 ab:aaba=a,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14062 ab:aaba=a,bbbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14063 solved: rounds:7,rules:2,peak:5,longest:9,steps:6,word:6,work:653,nodes:20,pairs:13,completionMax:77us [09m33s] 14063 ab:aaba=a,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14063 ab:aaba=a,bbbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14064 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:8,nodes:18,pairs:0,completionMax:4us [09m33s] 14064 ab:aaba=a,bbbbbb=1 infinite ab - - ab:aaba=a,bbbbbb=1 [09m33s] # 14065 solved: rounds:1,rules:2,peak:3,longest:6,steps:10,word:9,work:234,nodes:16,pairs:4,completionMax:16us [09m33s] 14065 ab:aaba=b,aaaaaa=1 infinite reversed:a/b - - ab:aaaaaa=1,ba=aaaab [09m33s] # 14066 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:506,nodes:20,pairs:25,completionMax:54us [09m33s] 14066 ab:aaba=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14066 ab:aaba=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14067 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:8,pairs:4,completionMax:10us [09m33s] 14067 ab:aaba=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14067 ab:aaba=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14068 solved: rounds:3,rules:2,peak:11,longest:6,steps:4,word:3,work:1702,nodes:38,pairs:80,completionMax:243us [09m33s] 14068 ab:aaba=b,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14068 ab:aaba=b,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14069 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:50,nodes:10,pairs:5,completionMax:15us [09m33s] 14069 ab:aaba=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14069 ab:aaba=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14070 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:236,nodes:22,pairs:10,completionMax:36us [09m33s] 14070 ab:aaba=b,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14070 ab:aaba=b,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14071 solved: rounds:3,rules:2,peak:14,longest:6,steps:17,word:6,work:2561,nodes:38,pairs:68,completionMax:242us [09m33s] 14071 ab:aaba=b,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14071 ab:aaba=b,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14072 solved: rounds:4,rules:3,peak:19,longest:9,steps:9,word:6,work:14492,nodes:84,pairs:251,completionMax:1511us [09m33s] 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] # 14073 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:129,nodes:12,pairs:13,completionMax:36us [09m33s] 14073 ab:aaba=b,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14073 ab:aaba=b,aabaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14074 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:6,work:218,nodes:12,pairs:17,completionMax:40us [09m33s] 14074 ab:aaba=b,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14074 ab:aaba=b,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14075 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:217,nodes:20,pairs:23,completionMax:50us [09m33s] 14075 ab:aaba=b,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14075 ab:aaba=b,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14076 solved: rounds:4,rules:3,peak:8,longest:9,steps:8,word:6,work:1014,nodes:30,pairs:25,completionMax:105us [09m33s] 14076 ab:aaba=b,aababb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14076 ab:aaba=b,aababb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14077 solved: rounds:3,rules:2,peak:17,longest:9,steps:8,word:6,work:4414,nodes:40,pairs:94,completionMax:406us [09m33s] 14077 ab:aaba=b,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14077 ab:aaba=b,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14078 solved: rounds:4,rules:3,peak:18,longest:10,steps:9,word:6,work:11277,nodes:86,pairs:206,completionMax:1132us [09m33s] 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] # 14079 solved: rounds:4,rules:3,peak:24,longest:12,steps:12,word:6,work:18330,nodes:74,pairs:211,completionMax:1089us [09m33s] 14079 ab:aaba=b,aabbba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14079 ab:aaba=b,aabbba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14080 solved: rounds:3,rules:2,peak:8,longest:18,steps:3,word:6,work:1819,nodes:56,pairs:32,completionMax:177us [09m33s] 14080 ab:aaba=b,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14080 ab:aaba=b,aabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14081 solved: rounds:2,rules:2,peak:7,longest:6,steps:6,word:0,work:1107,nodes:24,pairs:48,completionMax:137us [09m33s] 14081 ab:aaba=b,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14081 ab:aaba=b,abaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14082 solved: rounds:4,rules:2,peak:10,longest:6,steps:8,word:3,work:1443,nodes:32,pairs:52,completionMax:187us [09m33s] 14082 ab:aaba=b,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14082 ab:aaba=b,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14083 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:237,nodes:22,pairs:10,completionMax:39us [09m33s] 14083 ab:aaba=b,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14083 ab:aaba=b,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14084 solved: rounds:3,rules:3,peak:12,longest:9,steps:8,word:6,work:3531,nodes:54,pairs:75,completionMax:535us [09m33s] 14084 ab:aaba=b,abaabb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] from: 14084 ab:aaba=b,abaabb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a=a,b=b [09m33s] # 14085 solved: rounds:4,rules:2,peak:12,longest:8,steps:7,word:6,work:1927,nodes:40,pairs:72,completionMax:326us [09m33s] 14085 ab:aaba=b,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14085 ab:aaba=b,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14086 solved: rounds:3,rules:3,peak:15,longest:17,steps:9,word:9,work:7284,nodes:96,pairs:51,completionMax:475us [09m33s] 14086 ab:aaba=b,ababab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14086 ab:aaba=b,ababab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14087 solved: rounds:3,rules:3,peak:15,longest:9,steps:12,word:12,work:5910,nodes:48,pairs:70,completionMax:335us [09m33s] 14087 ab:aaba=b,ababba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14087 ab:aaba=b,ababba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14088 solved: rounds:2,rules:2,peak:3,longest:12,steps:2,word:6,work:111,nodes:24,pairs:8,completionMax:27us [09m33s] 14088 ab:aaba=b,ababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14088 ab:aaba=b,ababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14089 solved: rounds:3,rules:2,peak:22,longest:7,steps:9,word:6,work:5218,nodes:48,pairs:124,completionMax:412us [09m33s] 14089 ab:aaba=b,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14089 ab:aaba=b,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14090 solved: rounds:3,rules:3,peak:12,longest:10,steps:8,word:6,work:3558,nodes:56,pairs:66,completionMax:483us [09m33s] 14090 ab:aaba=b,abbaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14090 ab:aaba=b,abbaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14091 solved: rounds:4,rules:3,peak:21,longest:12,steps:8,word:12,work:14671,nodes:82,pairs:204,completionMax:1827us [09m33s] 14091 ab:aaba=b,abbaba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] from: 14091 ab:aaba=b,abbaba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a=a,b=b [09m33s] # 14092 solved: rounds:5,rules:3,peak:26,longest:16,steps:58,word:24,work:50281,nodes:116,pairs:323,completionMax:2315us [09m33s] 14092 ab:aaba=b,abbabb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaa,bbbb=aaaaaaaaaa [09m33s] # 14093 solved: rounds:4,rules:3,peak:15,longest:10,steps:25,word:12,work:8920,nodes:44,pairs:70,completionMax:466us [09m33s] 14093 ab:aaba=b,abbbaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14093 ab:aaba=b,abbbaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14094 solved: rounds:2,rules:2,peak:6,longest:16,steps:4,word:6,work:1166,nodes:42,pairs:17,completionMax:109us [09m33s] 14094 ab:aaba=b,abbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14094 ab:aaba=b,abbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14095 solved: rounds:3,rules:2,peak:6,longest:14,steps:4,word:6,work:1080,nodes:52,pairs:22,completionMax:87us [09m33s] 14095 ab:aaba=b,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14095 ab:aaba=b,abbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14096 solved: rounds:3,rules:2,peak:5,longest:16,steps:3,word:18,work:412,nodes:48,pairs:13,completionMax:76us [09m33s] 14096 ab:aaba=b,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14096 ab:aaba=b,abbbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14097 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:573,nodes:22,pairs:30,completionMax:165us [09m33s] 14097 ab:aaba=b,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14097 ab:aaba=b,baaaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14098 solved: rounds:2,rules:2,peak:12,longest:7,steps:12,word:6,work:1972,nodes:28,pairs:28,completionMax:132us [09m33s] 14098 ab:aaba=b,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14098 ab:aaba=b,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14099 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:6,work:220,nodes:12,pairs:17,completionMax:37us [09m33s] 14099 ab:aaba=b,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14099 ab:aaba=b,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14100 solved: rounds:3,rules:3,peak:12,longest:11,steps:9,word:9,work:4690,nodes:60,pairs:63,completionMax:369us [09m33s] 14100 ab:aaba=b,baaabb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14100 ab:aaba=b,baaabb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14101 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:218,nodes:20,pairs:23,completionMax:56us [09m33s] 14101 ab:aaba=b,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14101 ab:aaba=b,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14102 solved: rounds:4,rules:3,peak:8,longest:9,steps:8,word:6,work:1015,nodes:30,pairs:25,completionMax:114us [09m33s] 14102 ab:aaba=b,baabab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14102 ab:aaba=b,baabab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14103 solved: rounds:2,rules:3,peak:8,longest:9,steps:12,word:6,work:1789,nodes:36,pairs:26,completionMax:135us [09m33s] 14103 ab:aaba=b,baabba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] from: 14103 ab:aaba=b,baabba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a=a,b=b [09m33s] # 14104 solved: rounds:3,rules:2,peak:10,longest:19,steps:7,word:18,work:4025,nodes:74,pairs:21,completionMax:239us [09m33s] 14104 ab:aaba=b,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14104 ab:aaba=b,baabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14105 solved: rounds:2,rules:2,peak:17,longest:11,steps:8,word:9,work:4061,nodes:44,pairs:30,completionMax:231us [09m33s] 14105 ab:aaba=b,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14105 ab:aaba=b,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14106 solved: rounds:3,rules:3,peak:13,longest:13,steps:18,word:15,work:9917,nodes:64,pairs:30,completionMax:370us [09m33s] 14106 ab:aaba=b,babaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] from: 14106 ab:aaba=b,babaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a=a,b=b [09m33s] # 14107 solved: rounds:3,rules:3,peak:10,longest:11,steps:27,word:12,work:5536,nodes:52,pairs:42,completionMax:328us [09m33s] 14107 ab:aaba=b,bababa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14107 ab:aaba=b,bababa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14108 solved: rounds:3,rules:2,peak:13,longest:19,steps:4,word:18,work:6855,nodes:84,pairs:70,completionMax:672us [09m33s] 14108 ab:aaba=b,bababb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14108 ab:aaba=b,bababb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14109 solved: rounds:3,rules:3,peak:16,longest:21,steps:36,word:15,work:18206,nodes:80,pairs:52,completionMax:477us [09m33s] 14109 ab:aaba=b,babbaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14109 ab:aaba=b,babbaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14110 solved: rounds:4,rules:3,peak:12,longest:19,steps:58,word:150,work:27750,nodes:84,pairs:103,completionMax:1565us [09m33s] 14110 ab:aaba=b,babbab=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaa,bbbb=aaaaaaaaaa [09m33s] from: 14110 ab:aaba=b,babbab=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa to: 14092 ab:aaba=b,abbabb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa a=a,b=b [09m33s] # 14111 solved: rounds:2,rules:2,peak:6,longest:13,steps:6,word:6,work:824,nodes:30,pairs:19,completionMax:99us [09m33s] 14111 ab:aaba=b,babbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14111 ab:aaba=b,babbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14112 solved: rounds:3,rules:2,peak:6,longest:15,steps:6,word:18,work:1020,nodes:38,pairs:19,completionMax:94us [09m33s] 14112 ab:aaba=b,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14112 ab:aaba=b,babbbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14113 solved: rounds:4,rules:2,peak:9,longest:7,steps:11,word:3,work:1600,nodes:30,pairs:30,completionMax:130us [09m33s] 14113 ab:aaba=b,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14113 ab:aaba=b,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14114 solved: rounds:4,rules:3,peak:6,longest:10,steps:17,word:12,work:1691,nodes:46,pairs:29,completionMax:158us [09m33s] 14114 ab:aaba=b,bbaaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14114 ab:aaba=b,bbaaab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14115 solved: rounds:4,rules:3,peak:8,longest:9,steps:8,word:6,work:1016,nodes:30,pairs:25,completionMax:102us [09m33s] 14115 ab:aaba=b,bbaaba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 14115 ab:aaba=b,bbaaba=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=a [09m33s] # 14116 solved: rounds:3,rules:2,peak:15,longest:20,steps:7,word:12,work:6138,nodes:68,pairs:63,completionMax:531us [09m33s] 14116 ab:aaba=b,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14116 ab:aaba=b,bbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14117 solved: rounds:4,rules:3,peak:16,longest:10,steps:28,word:15,work:14877,nodes:80,pairs:88,completionMax:744us [09m33s] 14117 ab:aaba=b,bbabaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaa [09m33s] from: 14117 ab:aaba=b,bbabaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa a=a,b=b [09m33s] # 14118 solved: rounds:3,rules:2,peak:10,longest:12,steps:15,word:9,work:2229,nodes:36,pairs:50,completionMax:140us [09m33s] 14118 ab:aaba=b,bbabab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14118 ab:aaba=b,bbabab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14119 solved: rounds:4,rules:3,peak:23,longest:17,steps:23,word:18,work:34667,nodes:112,pairs:279,completionMax:1697us [09m33s] 14119 ab:aaba=b,bbabba=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaa,bbbb=aaaaaaaaaa [09m33s] from: 14119 ab:aaba=b,bbabba=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa to: 14092 ab:aaba=b,abbabb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa a=a,b=b [09m33s] # 14120 solved: rounds:4,rules:2,peak:12,longest:15,steps:8,word:9,work:3853,nodes:40,pairs:31,completionMax:241us [09m33s] 14120 ab:aaba=b,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14120 ab:aaba=b,bbabbb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14121 solved: rounds:4,rules:3,peak:13,longest:10,steps:34,word:18,work:14535,nodes:56,pairs:90,completionMax:676us [09m33s] 14121 ab:aaba=b,bbbaaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a/b - - ab:aaaaaaaaa=1,ab=baaaa,bbb=aaaaaa [09m33s] from: 14121 ab:aaba=b,bbbaaa=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa a=a,b=b [09m33s] # 14122 solved: rounds:2,rules:2,peak:3,longest:12,steps:2,word:6,work:129,nodes:24,pairs:8,completionMax:38us [09m33s] 14122 ab:aaba=b,bbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14122 ab:aaba=b,bbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14123 solved: rounds:3,rules:2,peak:11,longest:13,steps:4,word:6,work:4959,nodes:66,pairs:71,completionMax:337us [09m33s] 14123 ab:aaba=b,bbbaba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14123 ab:aaba=b,bbbaba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14124 solved: rounds:3,rules:2,peak:12,longest:15,steps:36,word:18,work:12408,nodes:66,pairs:72,completionMax:352us [09m33s] 14124 ab:aaba=b,bbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14124 ab:aaba=b,bbbabb=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14125 solved: rounds:3,rules:2,peak:6,longest:12,steps:2,word:6,work:567,nodes:38,pairs:20,completionMax:77us [09m33s] 14125 ab:aaba=b,bbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [09m33s] from: 14125 ab:aaba=b,bbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [09m33s] # 14126 solved: rounds:4,rules:2,peak:19,longest:27,steps:42,word:27,work:32742,nodes:104,pairs:95,completionMax:909us [09m33s] 14126 ab:aaba=b,bbbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14126 ab:aaba=b,bbbbab=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14127 solved: rounds:3,rules:2,peak:7,longest:16,steps:2,word:9,work:742,nodes:40,pairs:19,completionMax:113us [09m33s] 14127 ab:aaba=b,bbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14127 ab:aaba=b,bbbbba=1 finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [09m33s] # 14128 solved: rounds:7,rules:3,peak:27,longest:66,steps:132,word:126,work:499192,nodes:556,pairs:446,completionMax:17841us [09m33s] 14128 ab:aaba=b,bbbbbb=1 finite:378;center:1,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbbb a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,bbbbbb=1 [09m33s] # 14129 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:9,work:575,nodes:24,pairs:23,completionMax:84us [09m33s] 14129 ab:aabb=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14129 ab:aabb=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=b [09m33s] # 14130 solved: rounds:2,rules:2,peak:3,longest:9,steps:1,word:3,work:19,nodes:18,pairs:3,completionMax:15us [09m33s] 14130 ab:aabb=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14130 ab:aabb=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14131 solved: rounds:4,rules:2,peak:7,longest:9,steps:4,word:6,work:870,nodes:30,pairs:43,completionMax:129us [09m33s] 14131 ab:aabb=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14131 ab:aabb=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14132 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:72,nodes:16,pairs:7,completionMax:28us [09m33s] 14132 ab:aabb=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14132 ab:aabb=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14133 solved: rounds:3,rules:2,peak:10,longest:14,steps:8,word:6,work:2145,nodes:58,pairs:34,completionMax:218us [09m33s] 14133 ab:aabb=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14133 ab:aabb=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14134 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 14134 ab:aabb=a,aaabab=1 infinite ab - - ab:aabb=a,aaabab=1 [09m33s] # 14135 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:71,nodes:16,pairs:7,completionMax:22us [09m33s] 14135 ab:aabb=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14135 ab:aabb=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14136 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:2,completionMax:6us [09m33s] 14136 ab:aabb=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14136 ab:aabb=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14137 solved: rounds:3,rules:2,peak:6,longest:12,steps:3,word:6,work:834,nodes:42,pairs:20,completionMax:101us [09m33s] 14137 ab:aabb=a,aabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14137 ab:aabb=a,aabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14138 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:3,work:248,nodes:14,pairs:18,completionMax:40us [09m33s] 14138 ab:aabb=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14138 ab:aabb=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14139 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:234,nodes:18,pairs:22,completionMax:52us [09m33s] 14139 ab:aabb=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14139 ab:aabb=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14140 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:2us [09m33s] 14140 ab:aabb=a,aababb=1 infinite ab - - ab:aabb=a,aababb=1 [09m33s] # 14141 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:70,nodes:16,pairs:7,completionMax:22us [09m33s] 14141 ab:aabb=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14141 ab:aabb=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14142 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:2,completionMax:5us [09m33s] 14142 ab:aabb=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14142 ab:aabb=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14143 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:8,completionMax:19us [09m33s] 14143 ab:aabb=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14143 ab:aabb=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14144 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:2us [09m33s] 14144 ab:aabb=a,aabbbb=1 infinite ab - - ab:abb=1 [09m33s] # 14145 solved: rounds:3,rules:2,peak:5,longest:12,steps:3,word:6,work:509,nodes:40,pairs:11,completionMax:57us [09m33s] 14145 ab:aabb=a,abaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14145 ab:aabb=a,abaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14146 solved: rounds:3,rules:2,peak:9,longest:10,steps:4,word:9,work:779,nodes:34,pairs:37,completionMax:102us [09m33s] 14146 ab:aabb=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14146 ab:aabb=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14147 solved: rounds:5,rules:2,peak:7,longest:6,steps:4,word:3,work:752,nodes:24,pairs:31,completionMax:96us [09m33s] 14147 ab:aabb=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14147 ab:aabb=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14148 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:8,completionMax:20us [09m33s] 14148 ab:aabb=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14148 ab:aabb=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14149 solved: rounds:3,rules:2,peak:8,longest:6,steps:17,word:6,work:1057,nodes:24,pairs:38,completionMax:102us [09m33s] 14149 ab:aabb=a,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14149 ab:aabb=a,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14150 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:3us [09m33s] 14150 ab:aabb=a,ababab=1 infinite ab - - ab:aabb=a,ababab=1 [09m33s] # 14151 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:117,nodes:18,pairs:7,completionMax:21us [09m33s] 14151 ab:aabb=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14151 ab:aabb=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14152 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 14152 ab:aabb=a,ababbb=1 infinite ab - - ab:aabb=a,ababbb=1 [09m33s] # 14153 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:3,work:294,nodes:24,pairs:15,completionMax:38us [09m33s] 14153 ab:aabb=a,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14153 ab:aabb=a,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14154 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:412,nodes:24,pairs:34,completionMax:65us [09m33s] 14154 ab:aabb=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14154 ab:aabb=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14155 solved: rounds:4,rules:2,peak:7,longest:6,steps:2,word:0,work:271,nodes:24,pairs:22,completionMax:51us [09m33s] 14155 ab:aabb=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14155 ab:aabb=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14156 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:16,pairs:0,completionMax:2us [09m33s] 14156 ab:aabb=a,abbabb=1 infinite ab - - ab:aabb=a,abbabb=1 [09m33s] # 14157 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:169,nodes:20,pairs:15,completionMax:27us [09m33s] 14157 ab:aabb=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14157 ab:aabb=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14158 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:367,nodes:24,pairs:7,completionMax:59us [09m33s] 14158 ab:aabb=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14158 ab:aabb=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14159 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:106,nodes:24,pairs:7,completionMax:25us [09m33s] 14159 ab:aabb=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14159 ab:aabb=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14160 solved: rounds:3,rules:2,peak:4,longest:6,steps:4,word:0,work:48,nodes:16,pairs:7,completionMax:20us [09m33s] 14160 ab:aabb=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14160 ab:aabb=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14161 solved: rounds:3,rules:2,peak:6,longest:10,steps:2,word:3,work:300,nodes:38,pairs:19,completionMax:77us [09m33s] 14161 ab:aabb=a,baaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14161 ab:aabb=a,baaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14162 solved: rounds:4,rules:2,peak:8,longest:8,steps:7,word:6,work:790,nodes:24,pairs:29,completionMax:98us [09m33s] 14162 ab:aabb=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14162 ab:aabb=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14163 solved: rounds:4,rules:2,peak:8,longest:6,steps:7,word:3,work:1236,nodes:30,pairs:27,completionMax:83us [09m33s] 14163 ab:aabb=a,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14163 ab:aabb=a,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14164 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:122,nodes:14,pairs:14,completionMax:39us [09m33s] 14164 ab:aabb=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14164 ab:aabb=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14165 solved: rounds:4,rules:2,peak:8,longest:6,steps:5,word:3,work:727,nodes:26,pairs:28,completionMax:100us [09m33s] 14165 ab:aabb=a,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14165 ab:aabb=a,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14166 solved: rounds:4,rules:2,peak:13,longest:7,steps:4,word:0,work:2054,nodes:32,pairs:49,completionMax:198us [09m33s] 14166 ab:aabb=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14166 ab:aabb=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14167 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:121,nodes:14,pairs:14,completionMax:31us [09m33s] 14167 ab:aabb=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14167 ab:aabb=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14168 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:49,nodes:12,pairs:2,completionMax:9us [09m33s] 14168 ab:aabb=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14168 ab:aabb=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14169 solved: rounds:3,rules:2,peak:11,longest:6,steps:17,word:6,work:2384,nodes:30,pairs:48,completionMax:167us [09m33s] 14169 ab:aabb=a,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14169 ab:aabb=a,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14170 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:543,nodes:24,pairs:26,completionMax:62us [09m33s] 14170 ab:aabb=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14170 ab:aabb=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14171 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:0,work:765,nodes:32,pairs:25,completionMax:78us [09m33s] 14171 ab:aabb=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14171 ab:aabb=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14172 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:663,nodes:26,pairs:10,completionMax:62us [09m33s] 14172 ab:aabb=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14172 ab:aabb=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14173 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:155,nodes:20,pairs:17,completionMax:36us [09m33s] 14173 ab:aabb=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14173 ab:aabb=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14174 solved: rounds:5,rules:2,peak:9,longest:7,steps:3,word:0,work:1387,nodes:30,pairs:54,completionMax:235us [09m33s] 14174 ab:aabb=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14174 ab:aabb=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14175 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:173,nodes:24,pairs:10,completionMax:30us [09m33s] 14175 ab:aabb=a,babbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14175 ab:aabb=a,babbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14176 solved: rounds:4,rules:2,peak:4,longest:6,steps:5,word:0,work:179,nodes:20,pairs:9,completionMax:29us [09m33s] 14176 ab:aabb=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14176 ab:aabb=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14177 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:3,work:943,nodes:30,pairs:40,completionMax:91us [09m33s] 14177 ab:aabb=a,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14177 ab:aabb=a,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14178 solved: rounds:3,rules:2,peak:12,longest:6,steps:4,word:0,work:1110,nodes:30,pairs:28,completionMax:87us [09m33s] 14178 ab:aabb=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14178 ab:aabb=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14179 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:0,work:608,nodes:30,pairs:40,completionMax:69us [09m33s] 14179 ab:aabb=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14179 ab:aabb=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14180 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:78,nodes:14,pairs:4,completionMax:17us [09m33s] 14180 ab:aabb=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14180 ab:aabb=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14181 solved: rounds:3,rules:2,peak:12,longest:6,steps:4,word:0,work:1452,nodes:32,pairs:53,completionMax:132us [09m33s] 14181 ab:aabb=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14181 ab:aabb=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14182 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:1605,nodes:34,pairs:18,completionMax:95us [09m33s] 14182 ab:aabb=a,bbabab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14182 ab:aabb=a,bbabab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14183 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:102,nodes:20,pairs:5,completionMax:15us [09m33s] 14183 ab:aabb=a,bbabba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14183 ab:aabb=a,bbabba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14184 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:228,nodes:18,pairs:14,completionMax:27us [09m33s] 14184 ab:aabb=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14184 ab:aabb=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14185 solved: rounds:3,rules:2,peak:10,longest:6,steps:5,word:0,work:875,nodes:24,pairs:34,completionMax:85us [09m33s] 14185 ab:aabb=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14185 ab:aabb=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14186 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:587,nodes:28,pairs:24,completionMax:74us [09m33s] 14186 ab:aabb=a,bbbaab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14186 ab:aabb=a,bbbaab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14187 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:288,nodes:24,pairs:10,completionMax:29us [09m33s] 14187 ab:aabb=a,bbbaba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14187 ab:aabb=a,bbbaba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14188 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:1126,nodes:28,pairs:50,completionMax:94us [09m33s] 14188 ab:aabb=a,bbbabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14188 ab:aabb=a,bbbabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14189 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:206,nodes:22,pairs:12,completionMax:30us [09m33s] 14189 ab:aabb=a,bbbbaa=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14189 ab:aabb=a,bbbbaa=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14190 solved: rounds:3,rules:2,peak:13,longest:6,steps:7,word:0,work:4178,nodes:40,pairs:61,completionMax:330us [09m33s] 14190 ab:aabb=a,bbbbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14190 ab:aabb=a,bbbbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14191 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:238,nodes:20,pairs:13,completionMax:35us [09m33s] 14191 ab:aabb=a,bbbbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14191 ab:aabb=a,bbbbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14192 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:59,nodes:24,pairs:4,completionMax:21us [09m33s] 14192 ab:aabb=a,bbbbbb=1 infinite ab - - ab:abb=aaa,aaaa=a,bbbbbb=1 [09m33s] # 14193 solved: rounds:8,rules:2,peak:5,longest:12,steps:9,word:9,work:1176,nodes:24,pairs:23,completionMax:133us [09m33s] 14193 ab:abab=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14193 ab:abab=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=b [09m33s] # 14194 solved: rounds:3,rules:2,peak:3,longest:9,steps:1,word:3,work:32,nodes:18,pairs:5,completionMax:22us [09m33s] 14194 ab:abab=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14194 ab:abab=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14195 solved: rounds:1,rules:2,peak:4,longest:9,steps:3,word:6,work:103,nodes:24,pairs:4,completionMax:24us [09m33s] 14195 ab:abab=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14195 ab:abab=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14196 solved: rounds:6,rules:2,peak:6,longest:6,steps:4,word:3,work:262,nodes:16,pairs:18,completionMax:50us [09m33s] 14196 ab:abab=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14196 ab:abab=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14197 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:3,work:127,nodes:22,pairs:9,completionMax:31us [09m33s] 14197 ab:abab=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14197 ab:abab=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14198 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:252,nodes:14,pairs:20,completionMax:47us [09m33s] 14198 ab:abab=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14198 ab:abab=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14199 solved: rounds:3,rules:2,peak:10,longest:6,steps:10,word:6,work:1178,nodes:32,pairs:26,completionMax:101us [09m33s] 14199 ab:abab=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14199 ab:abab=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14200 solved: rounds:5,rules:2,peak:3,longest:6,steps:3,word:0,work:88,nodes:16,pairs:10,completionMax:20us [09m33s] 14200 ab:abab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14200 ab:abab=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14201 solved: rounds:2,rules:2,peak:5,longest:9,steps:8,word:6,work:568,nodes:26,pairs:15,completionMax:40us [09m33s] 14201 ab:abab=a,aabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14201 ab:abab=a,aabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14202 solved: rounds:6,rules:2,peak:5,longest:6,steps:4,word:3,work:359,nodes:20,pairs:22,completionMax:49us [09m33s] 14202 ab:abab=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14202 ab:abab=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14203 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:251,nodes:14,pairs:20,completionMax:37us [09m33s] 14203 ab:abab=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14203 ab:abab=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14204 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:10,pairs:6,completionMax:18us [09m33s] 14204 ab:abab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14204 ab:abab=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14205 solved: rounds:2,rules:2,peak:11,longest:6,steps:24,word:6,work:2267,nodes:32,pairs:24,completionMax:118us [09m33s] 14205 ab:abab=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14205 ab:abab=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14206 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:237,nodes:16,pairs:16,completionMax:40us [09m33s] 14206 ab:abab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14206 ab:abab=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14207 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:637,nodes:24,pairs:21,completionMax:77us [09m33s] 14207 ab:abab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14207 ab:abab=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14208 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:74,nodes:16,pairs:6,completionMax:19us [09m33s] 14208 ab:abab=a,aabbbb=1 infinite ab - - ab:aba=aab,abb=1 [09m33s] from: 14208 ab:abab=a,aabbbb=1 infinite to: 1284 ab:aba=aab,abb=1 infinite a=a,b=b [09m33s] # 14209 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:6,work:276,nodes:34,pairs:11,completionMax:46us [09m33s] 14209 ab:abab=a,abaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14209 ab:abab=a,abaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14210 solved: rounds:3,rules:2,peak:7,longest:23,steps:5,word:15,work:1622,nodes:56,pairs:41,completionMax:166us [09m33s] 14210 ab:abab=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14210 ab:abab=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14211 solved: rounds:2,rules:2,peak:7,longest:6,steps:15,word:3,work:1147,nodes:20,pairs:37,completionMax:102us [09m33s] 14211 ab:abab=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14211 ab:abab=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14212 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:214,nodes:18,pairs:8,completionMax:27us [09m33s] 14212 ab:abab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14212 ab:abab=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14213 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:250,nodes:14,pairs:20,completionMax:43us [09m33s] 14213 ab:abab=a,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14213 ab:abab=a,ababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14214 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:10,pairs:6,completionMax:14us [09m33s] 14214 ab:abab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14214 ab:abab=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14215 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:35,nodes:8,pairs:5,completionMax:9us [09m33s] 14215 ab:abab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14215 ab:abab=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14216 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:53,nodes:8,pairs:1,completionMax:11us [09m33s] 14216 ab:abab=a,ababbb=1 infinite ab - - ab:aba=aab,abb=1 [09m33s] from: 14216 ab:abab=a,ababbb=1 infinite to: 1284 ab:aba=aab,abb=1 infinite a=a,b=b [09m33s] # 14217 solved: rounds:5,rules:2,peak:7,longest:6,steps:5,word:3,work:775,nodes:30,pairs:37,completionMax:116us [09m33s] 14217 ab:abab=a,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14217 ab:abab=a,abbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14218 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:1029,nodes:26,pairs:30,completionMax:77us [09m33s] 14218 ab:abab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14218 ab:abab=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14219 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:327,nodes:22,pairs:19,completionMax:34us [09m33s] 14219 ab:abab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14219 ab:abab=a,abbaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14220 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:76,nodes:16,pairs:6,completionMax:11us [09m33s] 14220 ab:abab=a,abbabb=1 infinite ab - - ab:aba=aab,aabb=a,abbabb=1 [09m33s] # 14221 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:556,nodes:26,pairs:32,completionMax:57us [09m33s] 14221 ab:abab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14221 ab:abab=a,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14222 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:566,nodes:26,pairs:26,completionMax:51us [09m33s] 14222 ab:abab=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14222 ab:abab=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14223 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:442,nodes:24,pairs:25,completionMax:43us [09m33s] 14223 ab:abab=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14223 ab:abab=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14224 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:134,nodes:14,pairs:11,completionMax:29us [09m33s] 14224 ab:abab=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14224 ab:abab=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14225 solved: rounds:3,rules:2,peak:6,longest:10,steps:1,word:3,work:334,nodes:32,pairs:20,completionMax:84us [09m33s] 14225 ab:abab=a,baaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14225 ab:abab=a,baaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14226 solved: rounds:6,rules:2,peak:8,longest:6,steps:4,word:3,work:799,nodes:24,pairs:45,completionMax:124us [09m33s] 14226 ab:abab=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14226 ab:abab=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14227 solved: rounds:4,rules:2,peak:7,longest:6,steps:4,word:3,work:540,nodes:22,pairs:33,completionMax:109us [09m33s] 14227 ab:abab=a,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14227 ab:abab=a,baaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14228 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:1076,nodes:26,pairs:16,completionMax:100us [09m33s] 14228 ab:abab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14228 ab:abab=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14229 solved: rounds:5,rules:2,peak:8,longest:6,steps:5,word:3,work:642,nodes:26,pairs:28,completionMax:106us [09m33s] 14229 ab:abab=a,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14229 ab:abab=a,baabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14230 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:188,nodes:14,pairs:20,completionMax:44us [09m33s] 14230 ab:abab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14230 ab:abab=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14231 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:798,nodes:26,pairs:28,completionMax:71us [09m33s] 14231 ab:abab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14231 ab:abab=a,baabba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14232 solved: rounds:3,rules:2,peak:7,longest:6,steps:7,word:0,work:803,nodes:26,pairs:17,completionMax:49us [09m33s] 14232 ab:abab=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14232 ab:abab=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14233 solved: rounds:5,rules:2,peak:6,longest:6,steps:4,word:3,work:414,nodes:22,pairs:25,completionMax:77us [09m33s] 14233 ab:abab=a,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14233 ab:abab=a,babaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14234 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:513,nodes:22,pairs:19,completionMax:52us [09m33s] 14234 ab:abab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14234 ab:abab=a,babaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14235 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:187,nodes:14,pairs:20,completionMax:49us [09m33s] 14235 ab:abab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14235 ab:abab=a,bababa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14236 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:36,nodes:12,pairs:6,completionMax:13us [09m33s] 14236 ab:abab=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14236 ab:abab=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14237 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:582,nodes:28,pairs:23,completionMax:89us [09m33s] 14237 ab:abab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14237 ab:abab=a,babbaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14238 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:427,nodes:22,pairs:32,completionMax:57us [09m33s] 14238 ab:abab=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14238 ab:abab=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14239 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:315,nodes:24,pairs:16,completionMax:59us [09m33s] 14239 ab:abab=a,babbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14239 ab:abab=a,babbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14240 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:338,nodes:20,pairs:16,completionMax:45us [09m33s] 14240 ab:abab=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14240 ab:abab=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14241 solved: rounds:3,rules:2,peak:10,longest:6,steps:10,word:9,work:1457,nodes:28,pairs:61,completionMax:214us [09m33s] 14241 ab:abab=a,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14241 ab:abab=a,bbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14242 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:652,nodes:24,pairs:47,completionMax:87us [09m33s] 14242 ab:abab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14242 ab:abab=a,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14243 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:415,nodes:22,pairs:24,completionMax:83us [09m33s] 14243 ab:abab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14243 ab:abab=a,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14244 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:0,work:1119,nodes:32,pairs:27,completionMax:88us [09m33s] 14244 ab:abab=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14244 ab:abab=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14245 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:183,nodes:22,pairs:18,completionMax:80us [09m33s] 14245 ab:abab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14245 ab:abab=a,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14246 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:157,nodes:16,pairs:11,completionMax:62us [09m33s] 14246 ab:abab=a,bbabab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14246 ab:abab=a,bbabab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14247 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:134,nodes:20,pairs:10,completionMax:56us [09m33s] 14247 ab:abab=a,bbabba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14247 ab:abab=a,bbabba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14248 solved: rounds:2,rules:2,peak:11,longest:6,steps:7,word:0,work:1843,nodes:24,pairs:29,completionMax:131us [09m33s] 14248 ab:abab=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14248 ab:abab=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14249 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:952,nodes:32,pairs:33,completionMax:104us [09m33s] 14249 ab:abab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14249 ab:abab=a,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14250 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:564,nodes:22,pairs:40,completionMax:81us [09m33s] 14250 ab:abab=a,bbbaab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14250 ab:abab=a,bbbaab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14251 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:234,nodes:20,pairs:16,completionMax:41us [09m33s] 14251 ab:abab=a,bbbaba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14251 ab:abab=a,bbbaba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14252 solved: rounds:3,rules:2,peak:14,longest:6,steps:6,word:0,work:2423,nodes:34,pairs:82,completionMax:242us [09m33s] 14252 ab:abab=a,bbbabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14252 ab:abab=a,bbbabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14253 solved: rounds:3,rules:2,peak:6,longest:6,steps:8,word:0,work:536,nodes:28,pairs:19,completionMax:53us [09m33s] 14253 ab:abab=a,bbbbaa=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14253 ab:abab=a,bbbbaa=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14254 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:552,nodes:20,pairs:37,completionMax:89us [09m33s] 14254 ab:abab=a,bbbbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14254 ab:abab=a,bbbbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14255 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:859,nodes:28,pairs:37,completionMax:81us [09m33s] 14255 ab:abab=a,bbbbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14255 ab:abab=a,bbbbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14256 solved: rounds:4,rules:4,peak:6,longest:6,steps:5,word:0,work:396,nodes:26,pairs:17,completionMax:66us [09m33s] 14256 ab:abab=a,bbbbbb=1 finite:42;idempotents:1,aaa,bab,bba,bbbaab,bbbbaa,bbbbbaaab ab - - ab:aba=aab,abb=aaa,aaaa=a,bbbbbb=1 [09m33s] # 14257 solved: rounds:7,rules:2,peak:5,longest:12,steps:9,word:9,work:905,nodes:24,pairs:14,completionMax:58us [09m33s] 14257 ab:abba=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14257 ab:abba=a,aaaaaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b10;saturation:a:a12=1;cancellative;smith:12;group:a-bb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbbbb,b=b [09m33s] # 14258 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:3,work:198,nodes:24,pairs:11,completionMax:54us [09m33s] 14258 ab:abba=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14258 ab:abba=a,aaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14259 solved: rounds:3,rules:2,peak:8,longest:13,steps:16,word:6,work:1207,nodes:40,pairs:22,completionMax:115us [09m33s] 14259 ab:abba=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14259 ab:abba=a,aaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14260 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:3,work:135,nodes:16,pairs:10,completionMax:29us [09m33s] 14260 ab:abba=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14260 ab:abba=a,aaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14261 solved: rounds:4,rules:2,peak:7,longest:9,steps:5,word:3,work:1079,nodes:26,pairs:27,completionMax:94us [09m33s] 14261 ab:abba=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaa=1,b=aaaa [09m33s] from: 14261 ab:abba=a,aaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b7;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaa,b=a [09m33s] # 14262 solved: rounds:5,rules:2,peak:5,longest:6,steps:5,word:3,work:373,nodes:16,pairs:19,completionMax:46us [09m33s] 14262 ab:abba=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14262 ab:abba=a,aaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14263 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:108,nodes:14,pairs:10,completionMax:27us [09m33s] 14263 ab:abba=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14263 ab:abba=a,aaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14264 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:29,nodes:16,pairs:5,completionMax:14us [09m33s] 14264 ab:abba=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14264 ab:abba=a,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14265 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:231,nodes:16,pairs:16,completionMax:40us [09m33s] 14265 ab:abba=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14265 ab:abba=a,aabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14266 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:3,work:381,nodes:24,pairs:20,completionMax:73us [09m33s] 14266 ab:abba=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14266 ab:abba=a,aababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14267 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:76,nodes:16,pairs:8,completionMax:26us [09m33s] 14267 ab:abba=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14267 ab:abba=a,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14268 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:107,nodes:14,pairs:10,completionMax:32us [09m33s] 14268 ab:abba=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14268 ab:abba=a,aabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14269 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:102,nodes:12,pairs:11,completionMax:38us [09m33s] 14269 ab:abba=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14269 ab:abba=a,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14270 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:146,nodes:20,pairs:9,completionMax:26us [09m33s] 14270 ab:abba=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14270 ab:abba=a,aabbba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14271 solved: rounds:1,rules:1,peak:3,longest:6,steps:1,word:0,work:23,nodes:16,pairs:1,completionMax:9us [09m33s] 14271 ab:abba=a,aabbbb=1 infinite ab - - ab:abb=1 [09m33s] from: 14271 ab:abba=a,aabbbb=1 infinite to: 14144 ab:aabb=a,aabbbb=1 infinite a=a,b=b [09m33s] # 14272 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:3,work:839,nodes:24,pairs:44,completionMax:122us [09m33s] 14272 ab:abba=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14272 ab:abba=a,abaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14273 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:3,work:454,nodes:24,pairs:20,completionMax:54us [09m33s] 14273 ab:abba=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14273 ab:abba=a,abaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14274 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:128,nodes:14,pairs:12,completionMax:28us [09m33s] 14274 ab:abba=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14274 ab:abba=a,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14275 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:331,nodes:20,pairs:14,completionMax:44us [09m33s] 14275 ab:abba=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14275 ab:abba=a,ababab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14276 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:87,nodes:10,pairs:8,completionMax:20us [09m33s] 14276 ab:abba=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14276 ab:abba=a,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14277 solved: rounds:1,rules:1,peak:3,longest:6,steps:1,word:0,work:23,nodes:14,pairs:1,completionMax:10us [09m33s] 14277 ab:abba=a,ababbb=1 infinite ab - - ab:abb=1 [09m33s] from: 14277 ab:abba=a,ababbb=1 infinite to: 14144 ab:aabb=a,aabbbb=1 infinite a=a,b=b [09m33s] # 14278 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:12,pairs:11,completionMax:36us [09m33s] 14278 ab:abba=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14278 ab:abba=a,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14279 solved: rounds:0,rules:1,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:4us [09m33s] 14279 ab:abba=a,abbabb=1 infinite ab - - ab:abb=1 [09m33s] from: 14279 ab:abba=a,abbabb=1 infinite to: 14144 ab:aabb=a,aabbbb=1 infinite a=a,b=b [09m33s] # 14280 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:98,nodes:18,pairs:7,completionMax:25us [09m33s] 14280 ab:abba=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14280 ab:abba=a,abbbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14281 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:71,nodes:16,pairs:4,completionMax:15us [09m33s] 14281 ab:abba=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14281 ab:abba=a,abbbba=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14282 solved: rounds:4,rules:2,peak:3,longest:6,steps:2,word:0,work:56,nodes:12,pairs:8,completionMax:15us [09m33s] 14282 ab:abba=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14282 ab:abba=a,abbbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14283 solved: rounds:6,rules:2,peak:5,longest:6,steps:5,word:3,work:494,nodes:24,pairs:19,completionMax:47us [09m33s] 14283 ab:abba=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [09m33s] from: 14283 ab:abba=a,baaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [09m33s] # 14284 solved: rounds:4,rules:2,peak:9,longest:6,steps:2,word:0,work:483,nodes:24,pairs:41,completionMax:101us [09m33s] 14284 ab:abba=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14284 ab:abba=a,baaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14285 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:457,nodes:24,pairs:18,completionMax:58us [09m33s] 14285 ab:abba=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14285 ab:abba=a,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14286 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:390,nodes:24,pairs:13,completionMax:46us [09m33s] 14286 ab:abba=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14286 ab:abba=a,baabbb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14287 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:194,nodes:22,pairs:9,completionMax:45us [09m33s] 14287 ab:abba=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14287 ab:abba=a,bababb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14288 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:4,completionMax:15us [09m33s] 14288 ab:abba=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14288 ab:abba=a,babbab=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14289 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:314,nodes:20,pairs:20,completionMax:54us [09m33s] 14289 ab:abba=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14289 ab:abba=a,babbbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14290 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:191,nodes:22,pairs:7,completionMax:32us [09m33s] 14290 ab:abba=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab ab - - ab:ba=ab,abb=1 [09m33s] from: 14290 ab:abba=a,bbaabb=1 infinite;commutative:ab:ab2=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-bb,b-ab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=b [09m33s] # 14291 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:381,nodes:18,pairs:20,completionMax:59us [09m33s] 14291 ab:abba=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14291 ab:abba=a,bbabbb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14292 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:8,nodes:18,pairs:0,completionMax:5us [09m33s] 14292 ab:abba=a,bbbbbb=1 infinite ab - - ab:abba=a,bbbbbb=1 [09m33s] # 14293 solved: rounds:7,rules:18,peak:43,longest:25,steps:249,word:29,work:539499,nodes:544,pairs:978,completionMax:15851us [09m33s] 14293 ab:abba=b,aaaaaa=1 infinite cd/b/a bbb=c,abababa=d frequency:3/1,7/0 abcd:dc=cd,cccddd=c,ccdddd=d,bccddd=b,cb=bc,cdb=dbc,cddb=ddbc,dddb=bddd,dbdb=bbcdd,ddbb=bdbcdddd,bbb=c,ca=ac,da=abdbbdbcdddd,ba=abdbb,aac=bbdbb,aad=bbdbbcdddd,aab=bbd,aaaaaa=1 [09m33s] # 14294 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:381,nodes:22,pairs:24,completionMax:52us [09m33s] 14294 ab:abba=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14294 ab:abba=b,aaaaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14295 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:0,work:1236,nodes:36,pairs:53,completionMax:170us [09m33s] 14295 ab:abba=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14295 ab:abba=b,aaaaba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14296 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:257,nodes:24,pairs:14,completionMax:38us [09m33s] 14296 ab:abba=b,aaaabb=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14296 ab:abba=b,aaaabb=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14297 solved: rounds:3,rules:2,peak:11,longest:6,steps:6,word:0,work:2069,nodes:36,pairs:56,completionMax:169us [09m33s] 14297 ab:abba=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14297 ab:abba=b,aaabaa=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14298 solved: rounds:2,rules:7,peak:9,longest:8,steps:4,word:0,work:1211,nodes:42,pairs:13,completionMax:69us [09m33s] 14298 ab:abba=b,aaabab=1 infinite;group:a-aabab,b-aaaba ab - - ab:baa=aab,abba=b,baba=abab,bbba=abbb,aaabb=ba,aaabab=1,aababb=bba [09m33s] # 14299 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:48,nodes:12,pairs:3,completionMax:10us [09m33s] 14299 ab:abba=b,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14299 ab:abba=b,aaabba=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14300 solved: rounds:4,rules:5,peak:14,longest:9,steps:6,word:3,work:4957,nodes:54,pairs:75,completionMax:453us [09m33s] 14300 ab:abba=b,aaabbb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aabaa,bab=aba,baab=a [09m33s] # 14301 solved: rounds:3,rules:10,peak:14,longest:8,steps:6,word:0,work:4495,nodes:58,pairs:40,completionMax:234us [09m33s] 14301 ab:abba=b,aabaab=1 infinite;group:a-abaab,b-aabaa ab - - ab:abba=b,baaa=aaab,baba=aabb,bbaa=abab,bbba=abbb,aabab=ba,baaba=abaab,aaaabb=baa,aabaab=1,abaabb=bba [09m33s] # 14302 solved: rounds:3,rules:7,peak:10,longest:6,steps:4,word:0,work:1930,nodes:44,pairs:30,completionMax:144us [09m33s] 14302 ab:abba=b,aababa=1 infinite;group:a-aabab,b-aaaba ab - - ab:baa=aab,abba=b,baba=abab,bbba=abbb,aaabb=ba,aaabab=1,aababb=bba [09m33s] from: 14302 ab:abba=b,aababa=1 infinite;group:a-aabab,b-aaaba to: 14298 ab:abba=b,aaabab=1 infinite;group:a-aabab,b-aaaba a=a,b=b [09m33s] # 14303 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:0,work:1283,nodes:36,pairs:46,completionMax:140us [09m33s] 14303 ab:abba=b,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14303 ab:abba=b,aababb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14304 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:56,nodes:10,pairs:5,completionMax:11us [09m33s] 14304 ab:abba=b,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14304 ab:abba=b,aabbaa=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14305 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:34,nodes:8,pairs:5,completionMax:10us [09m33s] 14305 ab:abba=b,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14305 ab:abba=b,aabbab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14306 solved: rounds:4,rules:5,peak:16,longest:8,steps:7,word:3,work:8918,nodes:54,pairs:195,completionMax:1167us [09m33s] 14306 ab:abba=b,aabbba=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aabaa,bab=aba,baab=a [09m33s] from: 14306 ab:abba=b,aabbba=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa to: 14300 ab:abba=b,aaabbb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa a=a,b=b [09m33s] # 14307 solved: rounds:3,rules:2,peak:13,longest:10,steps:12,word:6,work:5377,nodes:42,pairs:59,completionMax:353us [09m33s] 14307 ab:abba=b,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14307 ab:abba=b,aabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14308 solved: rounds:2,rules:7,peak:9,longest:6,steps:5,word:0,work:1380,nodes:40,pairs:26,completionMax:105us [09m33s] 14308 ab:abba=b,abaaab=1 infinite;group:a-aabab,b-aaaba ab - - ab:baa=aab,abba=b,baba=abab,bbba=abbb,aaabb=ba,aaabab=1,aababb=bba [09m33s] from: 14308 ab:abba=b,abaaab=1 infinite;group:a-aabab,b-aaaba to: 14298 ab:abba=b,aaabab=1 infinite;group:a-aabab,b-aaaba a=a,b=b [09m33s] # 14309 solved: rounds:5,rules:10,peak:13,longest:7,steps:5,word:0,work:4570,nodes:58,pairs:48,completionMax:299us [09m33s] 14309 ab:abba=b,abaaba=1 infinite;group:a-abaab,b-aabaa ab - - ab:abba=b,baaa=aaab,baba=aabb,bbaa=abab,bbba=abbb,aabab=ba,baaba=abaab,aaaabb=baa,aabaab=1,abaabb=bba [09m33s] from: 14309 ab:abba=b,abaaba=1 infinite;group:a-abaab,b-aabaa to: 14301 ab:abba=b,aabaab=1 infinite;group:a-abaab,b-aabaa a=a,b=b [09m33s] # 14310 solved: rounds:3,rules:2,peak:11,longest:6,steps:8,word:0,work:2110,nodes:36,pairs:57,completionMax:182us [09m33s] 14310 ab:abba=b,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14310 ab:abba=b,abaabb=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14311 solved: rounds:3,rules:5,peak:10,longest:8,steps:4,word:6,work:2069,nodes:42,pairs:39,completionMax:221us [09m33s] 14311 ab:abba=b,ababab=1 finite:24;center:1,bbb;group:a-bbabbbbb,b-bbbbb b/a - - ab:bbbbbb=1,bbba=abbb,aa=bbabbbbb,aba=babbbb,abba=b [09m33s] # 14312 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:35,nodes:8,pairs:5,completionMax:13us [09m33s] 14312 ab:abba=b,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14312 ab:abba=b,ababba=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14313 solved: rounds:5,rules:2,peak:10,longest:6,steps:5,word:3,work:1554,nodes:28,pairs:83,completionMax:304us [09m33s] 14313 ab:abba=b,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14313 ab:abba=b,ababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14314 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:233,nodes:16,pairs:7,completionMax:40us [09m33s] 14314 ab:abba=b,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14314 ab:abba=b,abbaab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14315 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [09m33s] 14315 ab:abba=b,abbabb=1 infinite;group:a-bbabb,b-bb ab - - ab:bbb=1,abba=b [09m33s] from: 14315 ab:abba=b,abbabb=1 infinite;group:a-bbabb,b-bb to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=b,b=a [09m33s] # 14316 solved: rounds:4,rules:2,peak:9,longest:6,steps:7,word:3,work:1111,nodes:22,pairs:49,completionMax:295us [09m33s] 14316 ab:abba=b,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14316 ab:abba=b,abbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14317 solved: rounds:5,rules:2,peak:8,longest:6,steps:5,word:3,work:1430,nodes:24,pairs:51,completionMax:182us [09m33s] 14317 ab:abba=b,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14317 ab:abba=b,abbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14318 solved: rounds:7,rules:2,peak:11,longest:9,steps:6,word:6,work:2142,nodes:28,pairs:51,completionMax:221us [09m33s] 14318 ab:abba=b,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14318 ab:abba=b,abbbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14319 solved: rounds:2,rules:2,peak:6,longest:6,steps:8,word:0,work:898,nodes:22,pairs:23,completionMax:66us [09m33s] 14319 ab:abba=b,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [09m33s] from: 14319 ab:abba=b,baaaab=1 infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [09m33s] # 14320 solved: rounds:3,rules:5,peak:10,longest:6,steps:6,word:3,work:2622,nodes:38,pairs:56,completionMax:257us [09m33s] 14320 ab:abba=b,baaabb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa a/b - - ab:aaaaaa=1,aaab=baaa,bb=aabaa,bab=aba,baab=a [09m33s] from: 14320 ab:abba=b,baaabb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa to: 14300 ab:abba=b,aaabbb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa a=a,b=b [09m33s] # 14321 solved: rounds:3,rules:2,peak:14,longest:6,steps:5,word:0,work:1903,nodes:32,pairs:96,completionMax:251us [09m33s] 14321 ab:abba=b,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [09m33s] from: 14321 ab:abba=b,baabab=1 finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [09m33s] # 14322 solved: rounds:2,rules:2,peak:14,longest:6,steps:7,word:3,work:2290,nodes:32,pairs:25,completionMax:155us [09m33s] 14322 ab:abba=b,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14322 ab:abba=b,baabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14323 solved: rounds:3,rules:2,peak:6,longest:10,steps:48,word:9,work:2738,nodes:24,pairs:30,completionMax:147us [09m33s] 14323 ab:abba=b,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14323 ab:abba=b,bababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14324 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [09m33s] 14324 ab:abba=b,babbab=1 infinite;group:a-bbabb,b-bb ab - - ab:bbb=1,abba=b [09m33s] from: 14324 ab:abba=b,babbab=1 infinite;group:a-bbabb,b-bb to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=b,b=a [09m33s] # 14325 solved: rounds:5,rules:2,peak:8,longest:9,steps:9,word:6,work:1662,nodes:26,pairs:32,completionMax:171us [09m33s] 14325 ab:abba=b,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14325 ab:abba=b,babbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14326 solved: rounds:2,rules:2,peak:12,longest:9,steps:29,word:9,work:5645,nodes:38,pairs:50,completionMax:406us [09m33s] 14326 ab:abba=b,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [09m33s] from: 14326 ab:abba=b,bbaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [09m33s] # 14327 solved: rounds:5,rules:2,peak:7,longest:9,steps:6,word:6,work:1010,nodes:20,pairs:37,completionMax:185us [09m33s] 14327 ab:abba=b,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [09m33s] from: 14327 ab:abba=b,bbabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [09m33s] # 14328 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:59,nodes:18,pairs:1,completionMax:16us [09m33s] 14328 ab:abba=b,bbbbbb=1 infinite;group:a-bbabbbbb,b-bbbbb ab - - ab:abba=b,bbba=abbb,bbbbbb=1 [09m33s] # 14329 solved: rounds:0,rules:1,peak:2,longest:4,steps:3,word:0,work:60,nodes:8,pairs:0,completionMax:6us [09m33s] 14329 ab:aaaa=a,aaaaa=a infinite ab - - ab:aa=a [09m33s] from: 14329 ab:aaaa=a,aaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [09m33s] # 14330 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [09m33s] 14330 ab:aaaa=a,aaaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [09m33s] from: 14330 ab:aaaa=a,aaaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [09m33s] # 14331 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:8,pairs:0,completionMax:3us [09m33s] 14331 ab:aaaa=a,aaaab=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 14331 ab:aaaa=a,aaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 14332 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:3us [09m33s] 14332 ab:aaaa=a,aaaab=b infinite ab - - ab:ab=b,aaaa=a [09m33s] from: 14332 ab:aaaa=a,aaaab=b infinite to: 2052 ab:aab=b,aaaa=a infinite a=a,b=b [09m33s] # 14333 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:83,nodes:12,pairs:2,completionMax:12us [09m33s] 14333 ab:aaaa=a,aaaba=a infinite ab - - ab:aba=aa,aaaa=a [09m33s] from: 14333 ab:aaaa=a,aaaba=a infinite to: 5222 ab:aba=aa,aaaa=a infinite a=a,b=b [09m33s] # 14334 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:249,nodes:18,pairs:16,completionMax:42us [09m33s] 14334 ab:aaaa=a,aaaba=b infinite ab - - ab:ba=b,aaaa=a,aaab=b [09m33s] # 14335 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:32,nodes:12,pairs:2,completionMax:6us [09m33s] 14335 ab:aaaa=a,aaabb=a infinite ab - - ab:abb=aa,aaaa=a [09m33s] # 14336 solved: rounds:2,rules:3,peak:4,longest:5,steps:1,word:0,work:58,nodes:12,pairs:5,completionMax:15us [09m33s] 14336 ab:aaaa=a,aaabb=b infinite ab - - ab:bb=b,aaaa=a,aaab=b [09m33s] # 14337 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:340,nodes:16,pairs:9,completionMax:60us [09m33s] 14337 ab:aaaa=a,aabaa=a infinite ab - - ab:aba=aa,aaaa=a [09m33s] from: 14337 ab:aaaa=a,aabaa=a infinite to: 5222 ab:aba=aa,aaaa=a infinite a=a,b=b [09m33s] # 14338 solved: rounds:1,rules:3,peak:5,longest:5,steps:6,word:2,work:240,nodes:18,pairs:6,completionMax:38us [09m33s] 14338 ab:aaaa=a,aabaa=b infinite a/b - - ab:aaaa=a,baaa=b,ab=baa [09m33s] from: 14338 ab:aaaa=a,aabaa=b infinite to: 2104 ab:aba=b,aaaa=a infinite a=a,b=b [09m33s] # 14339 solved: rounds:3,rules:6,peak:7,longest:5,steps:3,word:2,work:166,nodes:21,pairs:12,completionMax:42us [09m33s] 14339 ab:aaaa=a,aabab=a infinite ac/b ab=c frequency:2/0 abc:aaa=cc,acc=a,cca=a,ccc=c,ab=c,cb=caac [09m33s] # 14340 solved: rounds:3,rules:5,peak:6,longest:5,steps:2,word:0,work:268,nodes:20,pairs:14,completionMax:46us [09m33s] 14340 ab:aaaa=a,aabab=b finite:16;idempotents:1,b,aaa,aaba,abaa,baaa ab - - ab:bb=b,bab=ab,aaaa=a,aaab=b,baab=aab [09m33s] # 14341 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:91,nodes:16,pairs:1,completionMax:14us [09m33s] 14341 ab:aaaa=a,aabba=a infinite ab - - ab:aaaa=a,abba=aaa [09m33s] # 14342 solved: rounds:5,rules:4,peak:10,longest:10,steps:11,word:3,work:2246,nodes:56,pairs:30,completionMax:202us [09m33s] 14342 ab:aaaa=a,aabba=b finite:25;idempotents:1,aaa,bbbbbbb;center:1,aaa,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaab=b,aaaa=a [09m33s] # 14343 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:29,nodes:16,pairs:1,completionMax:8us [09m33s] 14343 ab:aaaa=a,aabbb=a infinite ab - - ab:aaaa=a,abbb=aaa [09m33s] # 14344 solved: rounds:3,rules:3,peak:4,longest:7,steps:3,word:3,work:116,nodes:20,pairs:6,completionMax:29us [09m33s] 14344 ab:aaaa=a,aabbb=b finite:28;idempotents:1,aaa,bbaa,bbbba,bbbbbb,bbbbbbaaa b/a - - ab:bbbbbbb=b,ab=bbb,aaaa=a [09m33s] # 14345 solved: rounds:3,rules:3,peak:4,longest:5,steps:4,word:0,work:352,nodes:14,pairs:11,completionMax:42us [09m33s] 14345 ab:aaaa=a,abaab=a infinite ab - - ab:aba=aab,abb=aa,aaaa=a [09m33s] # 14346 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:0,work:360,nodes:20,pairs:7,completionMax:45us [09m33s] 14346 ab:aaaa=a,abaab=b finite:16;idempotents:1,b,aaa,aaba,abaa,baaa ab - - ab:bb=b,bab=ab,aaaa=a,aaab=b,baab=aab [09m33s] from: 14346 ab:aaaa=a,abaab=b finite:16;idempotents:1,b,aaa,aaba,abaa,baaa to: 14340 ab:aaaa=a,aabab=b finite:16;idempotents:1,b,aaa,aaba,abaa,baaa a=a,b=b [09m33s] # 14347 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:8us [09m33s] 14347 ab:aaaa=a,ababa=a infinite ab - - ab:aaaa=a,ababa=a [09m33s] # 14348 solved: rounds:4,rules:7,peak:7,longest:6,steps:5,word:2,work:650,nodes:24,pairs:14,completionMax:60us [09m33s] 14348 ab:aaaa=a,ababa=b finite:28;idempotents:1,aaa,bbbb;center:1,bb,aaa,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaab=b,aaaa=a [09m33s] # 14349 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [09m33s] 14349 ab:aaaa=a,ababb=a infinite ab - - ab:aaaa=a,ababb=a [09m33s] # 14350 solved: rounds:4,rules:5,peak:5,longest:6,steps:2,word:0,work:185,nodes:20,pairs:6,completionMax:34us [09m33s] 14350 ab:aaaa=a,ababb=b infinite ab - - ab:aaaa=a,aaab=b,babb=aab,babab=b,babaab=ab [09m33s] # 14351 solved: rounds:4,rules:4,peak:6,longest:7,steps:5,word:0,work:789,nodes:24,pairs:22,completionMax:68us [09m33s] 14351 ab:aaaa=a,abbab=a infinite ab - - ab:aba=aab,aaaa=a,abba=aabb,abbb=aaa [09m33s] # 14352 solved: rounds:4,rules:3,peak:5,longest:7,steps:3,word:3,work:266,nodes:22,pairs:13,completionMax:50us [09m33s] 14352 ab:aaaa=a,abbab=b finite:28;idempotents:1,aaa,bbaa,bbbba,bbbbbb,bbbbbbaaa b/a - - ab:bbbbbbb=b,ab=bbb,aaaa=a [09m33s] from: 14352 ab:aaaa=a,abbab=b finite:28;idempotents:1,aaa,bbaa,bbbba,bbbbbb,bbbbbbaaa to: 14344 ab:aaaa=a,aabbb=b finite:28;idempotents:1,aaa,bbaa,bbbba,bbbbbb,bbbbbbaaa a=a,b=b [09m33s] # 14353 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [09m33s] 14353 ab:aaaa=a,abbba=a infinite ab - - ab:aaaa=a,abbba=a [09m33s] # 14354 solved: rounds:6,rules:9,peak:12,longest:27,steps:17,word:19,work:13585,nodes:206,pairs:42,completionMax:658us [09m33s] 14354 ab:aaaa=a,abbba=b finite:148;idempotents:1,aaa,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,aaa,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb,aaaa=a [09m33s] # 14355 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [09m33s] 14355 ab:aaaa=a,abbbb=a infinite ab - - ab:aaaa=a,abbbb=a [09m33s] # 14356 solved: rounds:4,rules:3,peak:4,longest:10,steps:2,word:6,work:101,nodes:26,pairs:6,completionMax:31us [09m33s] 14356 ab:aaaa=a,abbbb=b finite:40;idempotents:1,aaa,bbba,bbbbbbaa,bbbbbbbbb,bbbbbbbbbaaa b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaaa=a [09m33s] # 14357 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:89,nodes:16,pairs:3,completionMax:13us [09m33s] 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 ab - - ab:ba=ab,abb=aa,aaaa=a [09m33s] # 14358 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:2us [09m33s] 14358 ab:aaaa=a,baaab=b infinite ab - - ab:aaaa=a,baaab=b [09m33s] # 14359 solved: rounds:4,rules:3,peak:23,longest:19,steps:13,word:19,work:42211,nodes:86,pairs:157,completionMax:1151us [09m33s] 14359 ab:aaaa=a,baabb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbb,aa=abbbbbb [09m33s] # 14360 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:3us [09m33s] 14360 ab:aaaa=a,baabb=b infinite ab - - ab:aaaa=a,baabb=b [09m33s] # 14361 solved: rounds:4,rules:3,peak:4,longest:5,steps:5,word:0,work:236,nodes:18,pairs:8,completionMax:26us [09m33s] 14361 ab:aaaa=a,babab=a infinite;commutative:ab:a4=a,ab3=a3;saturation:a:a9=1;noncancellative:bbb,aa,ab,aaab;smith:9 ab - - ab:ba=ab,aaaa=a,abbb=aaa [09m33s] # 14362 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:6us [09m33s] 14362 ab:aaaa=a,babab=b infinite ab - - ab:aaaa=a,babab=b [09m33s] # 14363 solved: rounds:9,rules:5,peak:59,longest:55,steps:27,word:60,work:839896,nodes:232,pairs:2707,completionMax:26496us [09m33s] 14363 ab:aaaa=a,babbb=a infinite reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbba=a,abbb=bbbbbbbbbbbbbbbbbbbbbbbbbbba,aba=bbbbbbbbbaa,abba=bbbbbbbbbbbbbbbbbbaa,aaaa=a [09m33s] # 14364 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:6us [09m33s] 14364 ab:aaaa=a,babbb=b infinite ab - - ab:aaaa=a,babbb=b [09m33s] # 14365 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:244,nodes:18,pairs:8,completionMax:32us [09m33s] 14365 ab:aaaa=a,bbabb=a infinite ab - - ab:bba=abb,aaaa=a,abbbb=a [09m33s] # 14366 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:179,nodes:20,pairs:5,completionMax:19us [09m33s] 14366 ab:aaaa=a,bbabb=b infinite ab - - ab:aaaa=a,bbab=babb,babbb=b [09m33s] # 14367 solved: rounds:1,rules:2,peak:2,longest:20,steps:4,word:16,work:484,nodes:40,pairs:4,completionMax:34us [09m33s] 14367 ab:aaaa=a,bbbbb=a finite:20;idempotents:1,bbbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=b5,a=b5;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:15 b/a - - ab:bbbbbbbbbbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] # 14368 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:6us [09m33s] 14368 ab:aaaa=a,bbbbb=b infinite ab - - ab:aaaa=a,bbbbb=b [09m33s] # 14369 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [09m33s] 14369 ab:aaaa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [09m33s] from: 14369 ab:aaaa=b,aaaaa=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 14370 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:3,work:101,nodes:10,pairs:0,completionMax:3us [09m33s] 14370 ab:aaaa=b,aaaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a4;saturation::;noncancellative:aaaa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aaaa [09m33s] from: 14370 ab:aaaa=b,aaaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a4;saturation::;noncancellative:aaaa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bbbb [09m33s] # 14371 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:21,nodes:16,pairs:0,completionMax:6us [09m33s] 14371 ab:aaaa=b,aaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaa [09m33s] from: 14371 ab:aaaa=b,aaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bb,b=b [09m33s] # 14372 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:70,nodes:16,pairs:0,completionMax:6us [09m33s] 14372 ab:aaaa=b,aaaab=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaaa [09m33s] from: 14372 ab:aaaa=b,aaaab=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbbb [09m33s] # 14373 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:20,nodes:16,pairs:0,completionMax:11us [09m33s] 14373 ab:aaaa=b,aaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaa [09m33s] from: 14373 ab:aaaa=b,aaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bb,b=b [09m33s] # 14374 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:69,nodes:16,pairs:0,completionMax:6us [09m33s] 14374 ab:aaaa=b,aaaba=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaaa [09m33s] from: 14374 ab:aaaa=b,aaaba=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbbb [09m33s] # 14375 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:34,nodes:22,pairs:0,completionMax:11us [09m33s] 14375 ab:aaaa=b,aaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14375 ab:aaaa=b,aaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14376 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:101,nodes:22,pairs:0,completionMax:11us [09m33s] 14376 ab:aaaa=b,aaabb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14376 ab:aaaa=b,aaabb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14377 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:19,nodes:16,pairs:0,completionMax:6us [09m33s] 14377 ab:aaaa=b,aabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaa [09m33s] from: 14377 ab:aaaa=b,aabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b2;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbb,bbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bb,b=b [09m33s] # 14378 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:3,work:68,nodes:16,pairs:0,completionMax:5us [09m33s] 14378 ab:aaaa=b,aabaa=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aaaa [09m33s] from: 14378 ab:aaaa=b,aabaa=b finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bbbb [09m33s] # 14379 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:33,nodes:22,pairs:0,completionMax:8us [09m33s] 14379 ab:aaaa=b,aabab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14379 ab:aaaa=b,aabab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14380 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:100,nodes:22,pairs:0,completionMax:7us [09m33s] 14380 ab:aaaa=b,aabab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14380 ab:aaaa=b,aabab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14381 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:32,nodes:22,pairs:0,completionMax:13us [09m33s] 14381 ab:aaaa=b,aabba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14381 ab:aaaa=b,aabba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14382 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:99,nodes:22,pairs:0,completionMax:9us [09m33s] 14382 ab:aaaa=b,aabba=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14382 ab:aaaa=b,aabba=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14383 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:49,nodes:28,pairs:0,completionMax:16us [09m33s] 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] # 14384 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:134,nodes:28,pairs:0,completionMax:8us [09m33s] 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] # 14385 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:32,nodes:22,pairs:0,completionMax:8us [09m33s] 14385 ab:aaaa=b,abaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14385 ab:aaaa=b,abaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14386 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:99,nodes:22,pairs:0,completionMax:7us [09m33s] 14386 ab:aaaa=b,abaab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14386 ab:aaaa=b,abaab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14387 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:31,nodes:22,pairs:0,completionMax:8us [09m33s] 14387 ab:aaaa=b,ababa=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14387 ab:aaaa=b,ababa=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14388 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:98,nodes:22,pairs:0,completionMax:9us [09m33s] 14388 ab:aaaa=b,ababa=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14388 ab:aaaa=b,ababa=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14389 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:48,nodes:28,pairs:0,completionMax:10us [09m33s] 14389 ab:aaaa=b,ababb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14389 ab:aaaa=b,ababb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbbb,b=b [09m33s] # 14390 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:133,nodes:28,pairs:0,completionMax:13us [09m33s] 14390 ab:aaaa=b,ababb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14390 ab:aaaa=b,ababb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 to: 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a=a,b=aaaa [09m33s] # 14391 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:47,nodes:28,pairs:0,completionMax:9us [09m33s] 14391 ab:aaaa=b,abbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14391 ab:aaaa=b,abbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbbb,b=b [09m33s] # 14392 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:132,nodes:28,pairs:0,completionMax:8us [09m33s] 14392 ab:aaaa=b,abbab=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14392 ab:aaaa=b,abbab=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 to: 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a=a,b=aaaa [09m33s] # 14393 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:46,nodes:28,pairs:0,completionMax:12us [09m33s] 14393 ab:aaaa=b,abbba=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14393 ab:aaaa=b,abbba=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbbb,b=b [09m33s] # 14394 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:131,nodes:28,pairs:0,completionMax:12us [09m33s] 14394 ab:aaaa=b,abbba=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14394 ab:aaaa=b,abbba=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 to: 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a=a,b=aaaa [09m33s] # 14395 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:66,nodes:34,pairs:0,completionMax:13us [09m33s] 14395 ab:aaaa=b,abbbb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a/b - - ab:aaaaaaaaaaaaaaaaa=a,b=aaaa [09m33s] # 14396 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:169,nodes:34,pairs:0,completionMax:15us [09m33s] 14396 ab:aaaa=b,abbbb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] # 14397 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:31,nodes:22,pairs:0,completionMax:7us [09m33s] 14397 ab:aaaa=b,baaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aaaa [09m33s] from: 14397 ab:aaaa=b,baaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaa,aaaaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bbbb [09m33s] # 14398 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:6,work:98,nodes:22,pairs:0,completionMax:7us [09m33s] 14398 ab:aaaa=b,baaab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14398 ab:aaaa=b,baaab=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a4;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaa [09m33s] # 14399 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:47,nodes:28,pairs:0,completionMax:7us [09m33s] 14399 ab:aaaa=b,baabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14399 ab:aaaa=b,baabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbbb,b=b [09m33s] # 14400 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:132,nodes:28,pairs:0,completionMax:10us [09m33s] 14400 ab:aaaa=b,baabb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14400 ab:aaaa=b,baabb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 to: 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a=a,b=aaaa [09m33s] # 14401 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:46,nodes:28,pairs:0,completionMax:11us [09m33s] 14401 ab:aaaa=b,babab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14401 ab:aaaa=b,babab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbbb,b=b [09m33s] # 14402 solved: rounds:0,rules:2,peak:2,longest:14,steps:3,word:9,work:131,nodes:28,pairs:0,completionMax:12us [09m33s] 14402 ab:aaaa=b,babab=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14402 ab:aaaa=b,babab=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 to: 14384 ab:aaaa=b,aabbb=b finite:14;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a4,b=a4;saturation:a:a10=1;noncancellative:aaaaaaaaaaaa,aa,aaaaa,aaaaaaa;smith:10 a=a,b=aaaa [09m33s] # 14403 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:65,nodes:34,pairs:0,completionMax:13us [09m33s] 14403 ab:aaaa=b,babbb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a/b - - ab:aaaaaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14403 ab:aaaa=b,babbb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 to: 14395 ab:aaaa=b,abbbb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a=a,b=aaaa [09m33s] # 14404 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:168,nodes:34,pairs:0,completionMax:12us [09m33s] 14404 ab:aaaa=b,babbb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14404 ab:aaaa=b,babbb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 to: 14396 ab:aaaa=b,abbbb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 a=a,b=aaaa [09m33s] # 14405 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:64,nodes:34,pairs:0,completionMax:12us [09m33s] 14405 ab:aaaa=b,bbabb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a/b - - ab:aaaaaaaaaaaaaaaaa=a,b=aaaa [09m33s] from: 14405 ab:aaaa=b,bbabb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 to: 14395 ab:aaaa=b,abbbb=a finite:17;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a=a,b=aaaa [09m33s] # 14406 solved: rounds:0,rules:2,peak:2,longest:17,steps:4,word:12,work:167,nodes:34,pairs:0,completionMax:13us [09m33s] 14406 ab:aaaa=b,bbabb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] from: 14406 ab:aaaa=b,bbabb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 to: 14396 ab:aaaa=b,abbbb=b finite:17;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:a17=a4,b=a4;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaaa,aaa,aaaaa,aaaaaaaa;smith:13 a=a,b=aaaa [09m33s] # 14407 solved: rounds:0,rules:2,peak:2,longest:20,steps:5,word:15,work:85,nodes:40,pairs:0,completionMax:16us [09m33s] 14407 ab:aaaa=b,bbbbb=a finite:20;idempotents:1,aaaaaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:b20=b,a=b5;saturation:a:a19=1;noncancellative:bbbbbbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:19 a/b - - ab:aaaaaaaaaaaaaaaaaaaa=a,b=aaaa [09m33s] # 14408 solved: rounds:0,rules:2,peak:2,longest:20,steps:5,word:15,work:206,nodes:40,pairs:0,completionMax:16us [09m33s] 14408 ab:aaaa=b,bbbbb=b finite:20;idempotents:1,aaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa;commutative:ab:a20=a4,b=a4;saturation:a:a16=1;noncancellative:aaaaaaaaaaaaaaaa,1,aaaaa,aaaaa;smith:16 a/b - - ab:aaaaaaaaaaaaaaaaaaaa=aaaa,b=aaaa [09m33s] # 14409 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:34,nodes:10,pairs:2,completionMax:8us [09m33s] 14409 ab:aaab=a,aaaaa=a infinite a/b - - ab:aaaaa=a,ab=aaa [09m33s] from: 14409 ab:aaab=a,aaaaa=a infinite to: 1590 ab:aaa=ab,abb=a infinite a=a,b=b [09m33s] # 14410 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:16,pairs:1,completionMax:7us [09m33s] 14410 ab:aaab=a,aaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaaa [09m33s] from: 14410 ab:aaab=a,aaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbb,b=b [09m33s] # 14411 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:8,pairs:3,completionMax:10us [09m33s] 14411 ab:aaab=a,aaaab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14411 ab:aaab=a,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14412 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:1,completionMax:5us [09m33s] 14412 ab:aaab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14412 ab:aaab=a,aaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14413 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:8,pairs:3,completionMax:5us [09m33s] 14413 ab:aaab=a,aaaba=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14413 ab:aaab=a,aaaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14414 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:4us [09m33s] 14414 ab:aaab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14414 ab:aaab=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14415 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:1,completionMax:5us [09m33s] 14415 ab:aaab=a,aaabb=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14415 ab:aaab=a,aaabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14416 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:2,completionMax:5us [09m33s] 14416 ab:aaab=a,aaabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14416 ab:aaab=a,aaabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14417 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:0,work:713,nodes:16,pairs:28,completionMax:53us [09m33s] 14417 ab:aaab=a,aabaa=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14417 ab:aaab=a,aabaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14418 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:6,work:375,nodes:22,pairs:9,completionMax:36us [09m33s] 14418 ab:aaab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14418 ab:aaab=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14419 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:12,pairs:3,completionMax:8us [09m33s] 14419 ab:aaab=a,aabab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14419 ab:aaab=a,aabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14420 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:0,work:22,nodes:12,pairs:6,completionMax:9us [09m33s] 14420 ab:aaab=a,aabab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14420 ab:aaab=a,aabab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14421 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:283,nodes:14,pairs:12,completionMax:36us [09m33s] 14421 ab:aaab=a,aabba=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14421 ab:aaab=a,aabba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14422 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:594,nodes:24,pairs:24,completionMax:57us [09m33s] 14422 ab:aaab=a,aabba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14422 ab:aaab=a,aabba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14423 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:2,work:29,nodes:14,pairs:3,completionMax:15us [09m33s] 14423 ab:aaab=a,aabbb=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 14423 ab:aaab=a,aabbb=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 14424 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:39,nodes:14,pairs:7,completionMax:14us [09m33s] 14424 ab:aaab=a,aabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14424 ab:aaab=a,aabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14425 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:448,nodes:14,pairs:20,completionMax:49us [09m33s] 14425 ab:aaab=a,abaaa=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14425 ab:aaab=a,abaaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14426 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:2,work:436,nodes:24,pairs:22,completionMax:47us [09m33s] 14426 ab:aaab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14426 ab:aaab=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14427 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:112,nodes:14,pairs:11,completionMax:23us [09m33s] 14427 ab:aaab=a,abaab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14427 ab:aaab=a,abaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14428 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:132,nodes:14,pairs:10,completionMax:18us [09m33s] 14428 ab:aaab=a,abaab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14428 ab:aaab=a,abaab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14429 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:317,nodes:16,pairs:12,completionMax:47us [09m33s] 14429 ab:aaab=a,ababa=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14429 ab:aaab=a,ababa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14430 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:0,work:627,nodes:24,pairs:27,completionMax:93us [09m33s] 14430 ab:aaab=a,ababa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14430 ab:aaab=a,ababa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14431 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:51,nodes:16,pairs:4,completionMax:15us [09m33s] 14431 ab:aaab=a,ababb=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 14431 ab:aaab=a,ababb=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 14432 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:34,nodes:16,pairs:5,completionMax:13us [09m33s] 14432 ab:aaab=a,ababb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14432 ab:aaab=a,ababb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14433 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:617,nodes:16,pairs:14,completionMax:71us [09m33s] 14433 ab:aaab=a,abbaa=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14433 ab:aaab=a,abbaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14434 solved: rounds:3,rules:2,peak:14,longest:5,steps:10,word:0,work:1812,nodes:28,pairs:39,completionMax:154us [09m33s] 14434 ab:aaab=a,abbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14434 ab:aaab=a,abbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14435 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:4,work:573,nodes:20,pairs:15,completionMax:62us [09m33s] 14435 ab:aaab=a,abbab=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 14435 ab:aaab=a,abbab=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 14436 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:1,work:747,nodes:24,pairs:40,completionMax:113us [09m33s] 14436 ab:aaab=a,abbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14436 ab:aaab=a,abbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14437 solved: rounds:5,rules:2,peak:7,longest:7,steps:5,word:4,work:621,nodes:20,pairs:12,completionMax:69us [09m33s] 14437 ab:aaab=a,abbba=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 14437 ab:aaab=a,abbba=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 14438 solved: rounds:3,rules:2,peak:12,longest:5,steps:5,word:1,work:966,nodes:24,pairs:25,completionMax:112us [09m33s] 14438 ab:aaab=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14438 ab:aaab=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14439 solved: rounds:4,rules:2,peak:3,longest:9,steps:1,word:5,work:47,nodes:18,pairs:4,completionMax:17us [09m33s] 14439 ab:aaab=a,abbbb=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa [09m33s] # 14440 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:61,nodes:14,pairs:5,completionMax:18us [09m33s] 14440 ab:aaab=a,abbbb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14440 ab:aaab=a,abbbb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14441 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:818,nodes:20,pairs:22,completionMax:87us [09m33s] 14441 ab:aaab=a,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14441 ab:aaab=a,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14442 solved: rounds:2,rules:4,peak:7,longest:5,steps:2,word:1,work:241,nodes:18,pairs:8,completionMax:39us [09m33s] 14442 ab:aaab=a,baaaa=b finite:9;idempotents:1,baa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=aaa,bb=baa [09m33s] # 14443 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:145,nodes:10,pairs:8,completionMax:27us [09m33s] 14443 ab:aaab=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 14443 ab:aaab=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 14444 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:65,nodes:10,pairs:5,completionMax:14us [09m33s] 14444 ab:aaab=a,baaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14444 ab:aaab=a,baaab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14445 solved: rounds:3,rules:3,peak:8,longest:5,steps:5,word:0,work:603,nodes:16,pairs:24,completionMax:69us [09m33s] 14445 ab:aaab=a,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 14445 ab:aaab=a,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 14446 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:147,nodes:16,pairs:14,completionMax:30us [09m33s] 14446 ab:aaab=a,baaba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14446 ab:aaab=a,baaba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14447 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:222,nodes:24,pairs:12,completionMax:46us [09m33s] 14447 ab:aaab=a,baabb=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 14447 ab:aaab=a,baabb=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=b,b=a [09m33s] # 14448 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:68,nodes:16,pairs:4,completionMax:17us [09m33s] 14448 ab:aaab=a,baabb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14448 ab:aaab=a,baabb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14449 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:501,nodes:22,pairs:22,completionMax:61us [09m33s] 14449 ab:aaab=a,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 14449 ab:aaab=a,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 14450 solved: rounds:3,rules:4,peak:11,longest:5,steps:5,word:0,work:1016,nodes:22,pairs:33,completionMax:99us [09m33s] 14450 ab:aaab=a,babaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14450 ab:aaab=a,babaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14451 solved: rounds:3,rules:3,peak:4,longest:6,steps:3,word:2,work:172,nodes:16,pairs:9,completionMax:29us [09m33s] 14451 ab:aaab=a,babab=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 14451 ab:aaab=a,babab=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=b,b=a [09m33s] # 14452 solved: rounds:6,rules:4,peak:4,longest:5,steps:3,word:0,work:105,nodes:20,pairs:7,completionMax:28us [09m33s] 14452 ab:aaab=a,babab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14452 ab:aaab=a,babab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14453 solved: rounds:3,rules:3,peak:7,longest:7,steps:9,word:4,work:1051,nodes:26,pairs:20,completionMax:103us [09m33s] 14453 ab:aaab=a,babba=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 14453 ab:aaab=a,babba=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=b,b=a [09m33s] # 14454 solved: rounds:3,rules:4,peak:11,longest:5,steps:3,word:0,work:1208,nodes:28,pairs:57,completionMax:172us [09m33s] 14454 ab:aaab=a,babba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14454 ab:aaab=a,babba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14455 solved: rounds:4,rules:3,peak:8,longest:12,steps:3,word:5,work:1732,nodes:50,pairs:32,completionMax:148us [09m33s] 14455 ab:aaab=a,babbb=a infinite;commutative:ab:ab4=a,a3=ab3;saturation:a:a8=1;noncancellative:bbb,aa,ab,a;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa [09m33s] # 14456 solved: rounds:4,rules:4,peak:4,longest:6,steps:3,word:4,work:202,nodes:22,pairs:11,completionMax:37us [09m33s] 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaa,bb=baaa [09m33s] # 14457 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:376,nodes:18,pairs:13,completionMax:41us [09m33s] 14457 ab:aaab=a,bbaaa=a infinite ab - - ab:ab=a,aaa=a,bba=a [09m33s] from: 14457 ab:aaab=a,bbaaa=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [09m33s] # 14458 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:689,nodes:26,pairs:28,completionMax:81us [09m33s] 14458 ab:aaab=a,bbaaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14458 ab:aaab=a,bbaaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14459 solved: rounds:3,rules:3,peak:7,longest:6,steps:2,word:2,work:418,nodes:26,pairs:20,completionMax:62us [09m33s] 14459 ab:aaab=a,bbaab=a infinite a/b - - ab:aaaaaa=a,ab=aaaa,bba=aa [09m33s] from: 14459 ab:aaab=a,bbaab=a infinite to: 5219 ab:aab=bb,bbba=b infinite a=b,b=a [09m33s] # 14460 solved: rounds:4,rules:4,peak:7,longest:5,steps:3,word:0,work:490,nodes:22,pairs:29,completionMax:78us [09m33s] 14460 ab:aaab=a,bbaab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14460 ab:aaab=a,bbaab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14461 solved: rounds:4,rules:3,peak:12,longest:7,steps:3,word:2,work:1839,nodes:38,pairs:25,completionMax:152us [09m33s] 14461 ab:aaab=a,bbaba=a infinite a/b - - ab:aaaaaa=a,ab=aaaa,bba=aa [09m33s] from: 14461 ab:aaab=a,bbaba=a infinite to: 5219 ab:aab=bb,bbba=b infinite a=b,b=a [09m33s] # 14462 solved: rounds:3,rules:4,peak:10,longest:5,steps:3,word:0,work:929,nodes:30,pairs:40,completionMax:150us [09m33s] 14462 ab:aaab=a,bbaba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14462 ab:aaab=a,bbaba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14463 solved: rounds:3,rules:3,peak:8,longest:9,steps:3,word:7,work:901,nodes:34,pairs:21,completionMax:91us [09m33s] 14463 ab:aaab=a,bbabb=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bba=aaaaa [09m33s] # 14464 solved: rounds:3,rules:4,peak:14,longest:6,steps:4,word:2,work:2396,nodes:42,pairs:41,completionMax:256us [09m33s] 14464 ab:aaab=a,bbabb=b finite:11;idempotents:1,baa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 14464 ab:aaab=a,bbabb=b finite:11;idempotents:1,baa,aaaaa to: 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 14465 solved: rounds:4,rules:3,peak:9,longest:7,steps:4,word:4,work:1314,nodes:30,pairs:27,completionMax:140us [09m33s] 14465 ab:aaab=a,bbbaa=a infinite a/b - - ab:aaaaaa=a,ab=aaaa,bbba=aaaaa [09m33s] # 14466 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:0,work:1406,nodes:28,pairs:35,completionMax:149us [09m33s] 14466 ab:aaab=a,bbbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14466 ab:aaab=a,bbbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14467 solved: rounds:3,rules:3,peak:9,longest:9,steps:3,word:5,work:1127,nodes:38,pairs:34,completionMax:142us [09m33s] 14467 ab:aaab=a,bbbab=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbba=aaa [09m33s] # 14468 solved: rounds:5,rules:4,peak:12,longest:7,steps:4,word:4,work:2262,nodes:40,pairs:44,completionMax:192us [09m33s] 14468 ab:aaab=a,bbbab=b finite:11;idempotents:1,baa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 14468 ab:aaab=a,bbbab=b finite:11;idempotents:1,baa,aaaaa to: 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 14469 solved: rounds:5,rules:3,peak:7,longest:11,steps:4,word:5,work:880,nodes:36,pairs:13,completionMax:104us [09m33s] 14469 ab:aaab=a,bbbba=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbbba=a [09m33s] # 14470 solved: rounds:3,rules:4,peak:10,longest:6,steps:4,word:2,work:1211,nodes:30,pairs:36,completionMax:140us [09m33s] 14470 ab:aaab=a,bbbba=b finite:11;idempotents:1,baa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 14470 ab:aaab=a,bbbba=b finite:11;idempotents:1,baa,aaaaa to: 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 14471 solved: rounds:1,rules:2,peak:2,longest:16,steps:2,word:8,work:231,nodes:32,pairs:3,completionMax:23us [09m33s] 14471 ab:aaab=a,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] from: 14471 ab:aaab=a,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 to: 12194 ab:aaaa=ab,bbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbb,b=b [09m33s] # 14472 solved: rounds:5,rules:3,peak:4,longest:9,steps:4,word:5,work:139,nodes:26,pairs:5,completionMax:40us [09m33s] 14472 ab:aaab=a,bbbbb=b finite:45;idempotents:1,baa,bbbb,bbaaaa,aaaaaaaa,bbbaaaaaa,bbbbaaaaaaaa a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbbbb=b [09m33s] # 14473 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:49,nodes:10,pairs:3,completionMax:14us [09m33s] 14473 ab:aaab=b,aaaaa=a infinite ab - - ab:ab=b,aaaaa=a [09m33s] # 14474 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:4,work:113,nodes:16,pairs:1,completionMax:11us [09m33s] 14474 ab:aaab=b,aaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaaaa [09m33s] from: 14474 ab:aaab=b,aaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbbbb [09m33s] # 14475 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:7us [09m33s] 14475 ab:aaab=b,aaaab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14475 ab:aaab=b,aaaab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14476 solved: rounds:0,rules:1,peak:2,longest:4,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:2us [09m33s] 14476 ab:aaab=b,aaaab=b infinite ab - - ab:ab=b [09m33s] from: 14476 ab:aaab=b,aaaab=b infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [09m33s] # 14477 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:46,nodes:10,pairs:2,completionMax:30us [09m33s] 14477 ab:aaab=b,aaaba=a finite:7;idempotents:1,b,aaa ab - - ab:ba=a,bb=b,aaaa=a,aaab=b [09m33s] # 14478 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:2us [09m33s] 14478 ab:aaab=b,aaaba=b infinite ab - - ab:ba=b,aaab=b [09m33s] from: 14478 ab:aaab=b,aaaba=b infinite to: 948 ab:ab=a,bbba=a infinite a=b,b=a [09m33s] # 14479 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:50,nodes:14,pairs:3,completionMax:7us [09m33s] 14479 ab:aaab=b,aaabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14479 ab:aaab=b,aaabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14480 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [09m33s] 14480 ab:aaab=b,aaabb=b infinite ab - - ab:bb=b,aaab=b [09m33s] from: 14480 ab:aaab=b,aaabb=b infinite to: 892 ab:aa=a,abbb=a infinite anti:a=b,b=a [09m33s] # 14481 solved: rounds:2,rules:4,peak:8,longest:5,steps:2,word:0,work:429,nodes:16,pairs:19,completionMax:48us [09m33s] 14481 ab:aaab=b,aabaa=a finite:7;idempotents:1,b,aaa ab - - ab:ba=a,bb=b,aaaa=a,aaab=b [09m33s] from: 14481 ab:aaab=b,aabaa=a finite:7;idempotents:1,b,aaa to: 14477 ab:aaab=b,aaaba=a finite:7;idempotents:1,b,aaa a=a,b=b [09m33s] # 14482 solved: rounds:2,rules:2,peak:3,longest:7,steps:7,word:2,work:154,nodes:16,pairs:6,completionMax:18us [09m33s] 14482 ab:aaab=b,aabaa=b infinite a/b - - ab:baaaaaa=b,ab=baa [09m33s] from: 14482 ab:aaab=b,aabaa=b infinite to: 5175 ab:aab=ba,baaa=b infinite anti:a=a,b=b [09m33s] # 14483 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:62,nodes:16,pairs:5,completionMax:15us [09m33s] 14483 ab:aaab=b,aabab=a infinite ab - - ab:bab=aa,aaaa=a,aaab=b,baaa=b [09m33s] # 14484 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:128,nodes:16,pairs:5,completionMax:18us [09m33s] 14484 ab:aaab=b,aabab=b infinite ab - - ab:bb=b,bab=ab,aaab=b,baab=aab [09m33s] # 14485 solved: rounds:2,rules:4,peak:8,longest:7,steps:4,word:2,work:934,nodes:36,pairs:11,completionMax:128us [09m33s] 14485 ab:aaab=b,aabba=a finite:13;idempotents:1,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,bbbbbba=a,aa=bba [09m33s] # 14486 solved: rounds:6,rules:3,peak:8,longest:10,steps:10,word:3,work:1531,nodes:58,pairs:15,completionMax:158us [09m33s] 14486 ab:aaab=b,aabba=b infinite b/a - - ab:bbbbbbbb=b,ba=abbbb,aaab=b [09m33s] from: 14486 ab:aaab=b,aabba=b infinite to: 5186 ab:aab=ba,bbba=a infinite a=b,b=a [09m33s] # 14487 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:5,work:90,nodes:22,pairs:7,completionMax:24us [09m33s] 14487 ab:aaab=b,aabbb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14487 ab:aaab=b,aabbb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14488 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:1,work:30,nodes:16,pairs:2,completionMax:14us [09m33s] 14488 ab:aaab=b,aabbb=b infinite b/a - - ab:bbbbbbb=b,ab=bbb [09m33s] from: 14488 ab:aaab=b,aabbb=b infinite to: 5056 ab:aaa=ab,abbb=a infinite anti:a=b,b=a [09m33s] # 14489 solved: rounds:3,rules:4,peak:10,longest:5,steps:2,word:0,work:752,nodes:20,pairs:25,completionMax:69us [09m33s] 14489 ab:aaab=b,abaaa=a finite:7;idempotents:1,b,aaa ab - - ab:ba=a,bb=b,aaaa=a,aaab=b [09m33s] from: 14489 ab:aaab=b,abaaa=a finite:7;idempotents:1,b,aaa to: 14477 ab:aaab=b,aaaba=a finite:7;idempotents:1,b,aaa a=a,b=b [09m33s] # 14490 solved: rounds:3,rules:2,peak:5,longest:10,steps:14,word:9,work:443,nodes:22,pairs:12,completionMax:34us [09m33s] 14490 ab:aaab=b,abaaa=b infinite a/b - - ab:baaaaaaaaa=b,ab=baaaaaa [09m33s] # 14491 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:3,work:318,nodes:22,pairs:18,completionMax:49us [09m33s] 14491 ab:aaab=b,abaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14491 ab:aaab=b,abaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14492 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:246,nodes:20,pairs:9,completionMax:29us [09m33s] 14492 ab:aaab=b,abaab=b infinite ab - - ab:bb=b,bab=ab,aaab=b,baab=aab [09m33s] from: 14492 ab:aaab=b,abaab=b infinite to: 14484 ab:aaab=b,aabab=b infinite a=a,b=b [09m33s] # 14493 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:189,nodes:20,pairs:8,completionMax:31us [09m33s] 14493 ab:aaab=b,ababa=a infinite ab - - ab:aaaa=a,aaab=b,baba=aaa,babb=aab [09m33s] # 14494 solved: rounds:6,rules:6,peak:9,longest:8,steps:6,word:2,work:2316,nodes:46,pairs:20,completionMax:173us [09m33s] 14494 ab:aaab=b,ababa=b infinite b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaab=b [09m33s] # 14495 solved: rounds:5,rules:2,peak:9,longest:15,steps:27,word:15,work:3044,nodes:48,pairs:33,completionMax:208us [09m33s] 14495 ab:aaab=b,ababb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14495 ab:aaab=b,ababb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14496 solved: rounds:3,rules:4,peak:4,longest:6,steps:2,word:0,work:168,nodes:20,pairs:5,completionMax:31us [09m33s] 14496 ab:aaab=b,ababb=b infinite ab - - ab:aaab=b,babb=aab,babab=b,babaab=ab [09m33s] # 14497 solved: rounds:3,rules:4,peak:8,longest:7,steps:3,word:3,work:958,nodes:26,pairs:23,completionMax:108us [09m33s] 14497 ab:aaab=b,abbaa=a finite:13;idempotents:1,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,bbbbbba=a,aa=bba [09m33s] from: 14497 ab:aaab=b,abbaa=a finite:13;idempotents:1,bbbba,bbbbbb to: 14485 ab:aaab=b,aabba=a finite:13;idempotents:1,bbbba,bbbbbb a=a,b=b [09m33s] # 14498 solved: rounds:5,rules:4,peak:8,longest:10,steps:11,word:5,work:1896,nodes:46,pairs:13,completionMax:127us [09m33s] 14498 ab:aaab=b,abbaa=b infinite b/a - - ab:bbbbbbbb=b,bab=abbb,baa=aabbbb,aaab=b [09m33s] # 14499 solved: rounds:5,rules:2,peak:7,longest:10,steps:8,word:5,work:1452,nodes:24,pairs:41,completionMax:149us [09m33s] 14499 ab:aaab=b,abbab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14499 ab:aaab=b,abbab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14500 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:217,nodes:20,pairs:7,completionMax:27us [09m33s] 14500 ab:aaab=b,abbab=b infinite b/a - - ab:bbbbbbb=b,ab=bbb [09m33s] from: 14500 ab:aaab=b,abbab=b infinite to: 5056 ab:aaa=ab,abbb=a infinite anti:a=b,b=a [09m33s] # 14501 solved: rounds:3,rules:4,peak:7,longest:10,steps:4,word:10,work:649,nodes:32,pairs:16,completionMax:76us [09m33s] 14501 ab:aaab=b,abbba=a finite:19;idempotents:1,bbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,bbbbbbbbba=a,aa=bbbbbba [09m33s] # 14502 solved: rounds:6,rules:8,peak:10,longest:28,steps:18,word:19,work:14287,nodes:172,pairs:37,completionMax:633us [09m33s] 14502 ab:aaab=b,abbba=b infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb [09m33s] # 14503 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:89,nodes:20,pairs:9,completionMax:17us [09m33s] 14503 ab:aaab=b,abbbb=a infinite ab - - ab:aaaa=a,aaab=b,baaa=b,bbbb=aaa [09m33s] # 14504 solved: rounds:3,rules:2,peak:3,longest:10,steps:1,word:5,work:49,nodes:22,pairs:4,completionMax:13us [09m33s] 14504 ab:aaab=b,abbbb=b infinite b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb [09m33s] # 14505 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:208,nodes:16,pairs:10,completionMax:26us [09m33s] 14505 ab:aaab=b,baaaa=a finite:7;idempotents:1,b,aaa ab - - ab:ba=a,bb=b,aaaa=a,aaab=b [09m33s] from: 14505 ab:aaab=b,baaaa=a finite:7;idempotents:1,b,aaa to: 14477 ab:aaab=b,aaaba=a finite:7;idempotents:1,b,aaa a=a,b=b [09m33s] # 14506 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:87,nodes:16,pairs:3,completionMax:8us [09m33s] 14506 ab:aaab=b,baaaa=b infinite ab - - ab:bab=bb,aaab=b,baab=bb,baaaa=b [09m33s] # 14507 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:3,completionMax:8us [09m33s] 14507 ab:aaab=b,baaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14507 ab:aaab=b,baaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14508 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [09m33s] 14508 ab:aaab=b,baaab=b infinite ab - - ab:bb=b,aaab=b [09m33s] from: 14508 ab:aaab=b,baaab=b infinite to: 892 ab:aa=a,abbb=a infinite anti:a=b,b=a [09m33s] # 14509 solved: rounds:3,rules:4,peak:11,longest:7,steps:12,word:2,work:3974,nodes:34,pairs:52,completionMax:190us [09m33s] 14509 ab:aaab=b,baaba=a finite:13;idempotents:1,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,bbbbbba=a,aa=bba [09m33s] from: 14509 ab:aaab=b,baaba=a finite:13;idempotents:1,bbbba,bbbbbb to: 14485 ab:aaab=b,aabba=a finite:13;idempotents:1,bbbba,bbbbbb a=a,b=b [09m33s] # 14510 solved: rounds:4,rules:5,peak:6,longest:5,steps:3,word:0,work:459,nodes:18,pairs:19,completionMax:37us [09m33s] 14510 ab:aaab=b,baaba=b infinite ab - - ab:bb=b,bab=ba,aaab=b,baaa=b,baab=baa [09m33s] # 14511 solved: rounds:4,rules:2,peak:7,longest:12,steps:22,word:10,work:1590,nodes:40,pairs:17,completionMax:111us [09m33s] 14511 ab:aaab=b,baabb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14511 ab:aaab=b,baabb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14512 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:2us [09m33s] 14512 ab:aaab=b,baabb=b infinite ab - - ab:aaab=b,baabb=b [09m33s] # 14513 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:215,nodes:16,pairs:5,completionMax:24us [09m33s] 14513 ab:aaab=b,babaa=a infinite ab - - ab:aaaa=a,aaab=b,baba=aaa,babb=aab [09m33s] from: 14513 ab:aaab=b,babaa=a infinite to: 14493 ab:aaab=b,ababa=a infinite a=a,b=b [09m33s] # 14514 solved: rounds:5,rules:5,peak:9,longest:7,steps:4,word:2,work:1233,nodes:22,pairs:38,completionMax:110us [09m33s] 14514 ab:aaab=b,babaa=b infinite a/b - - ab:baaaaaa=b,aaab=b,bb=b,bab=baaaa,baab=baa [09m33s] # 14515 solved: rounds:4,rules:2,peak:7,longest:15,steps:9,word:10,work:2194,nodes:40,pairs:35,completionMax:159us [09m33s] 14515 ab:aaab=b,babab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14515 ab:aaab=b,babab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14516 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:3us [09m33s] 14516 ab:aaab=b,babab=b infinite ab - - ab:aaab=b,babab=b [09m33s] # 14517 solved: rounds:5,rules:4,peak:9,longest:10,steps:6,word:10,work:2112,nodes:24,pairs:41,completionMax:186us [09m33s] 14517 ab:aaab=b,babba=a finite:19;idempotents:1,bbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,bbbbbbbbba=a,aa=bbbbbba [09m33s] from: 14517 ab:aaab=b,babba=a finite:19;idempotents:1,bbba,bbbbbbbbb to: 14501 ab:aaab=b,abbba=a finite:19;idempotents:1,bbba,bbbbbbbbb a=a,b=b [09m33s] # 14518 solved: rounds:4,rules:3,peak:7,longest:8,steps:4,word:2,work:804,nodes:30,pairs:12,completionMax:97us [09m33s] 14518 ab:aaab=b,babba=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aaab=b [09m33s] # 14519 solved: rounds:6,rules:4,peak:19,longest:30,steps:37,word:29,work:28363,nodes:188,pairs:143,completionMax:1673us [09m33s] 14519 ab:aaab=b,babbb=a finite:85;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,bbbbbbbbbbbbbbbbbbbbbbbbbbbba=a,ab=bbbbbbbbba,aaa=bbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] # 14520 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:5us [09m33s] 14520 ab:aaab=b,babbb=b infinite ab - - ab:aaab=b,babbb=b [09m33s] # 14521 solved: rounds:2,rules:4,peak:6,longest:7,steps:4,word:3,work:347,nodes:24,pairs:9,completionMax:56us [09m33s] 14521 ab:aaab=b,bbaaa=a finite:13;idempotents:1,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,bbbbbba=a,aa=bba [09m33s] from: 14521 ab:aaab=b,bbaaa=a finite:13;idempotents:1,bbbba,bbbbbb to: 14485 ab:aaab=b,aabba=a finite:13;idempotents:1,bbbba,bbbbbb a=a,b=b [09m33s] # 14522 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:0,work:282,nodes:16,pairs:7,completionMax:31us [09m33s] 14522 ab:aaab=b,bbaaa=b infinite ab - - ab:bb=b,aaab=b,baaa=b [09m33s] # 14523 solved: rounds:4,rules:2,peak:13,longest:10,steps:11,word:10,work:4052,nodes:42,pairs:69,completionMax:363us [09m33s] 14523 ab:aaab=b,bbaab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14523 ab:aaab=b,bbaab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14524 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:1us [09m33s] 14524 ab:aaab=b,bbaab=b infinite ab - - ab:aaab=b,bbaab=b [09m33s] # 14525 solved: rounds:5,rules:4,peak:16,longest:11,steps:25,word:10,work:6409,nodes:40,pairs:42,completionMax:306us [09m33s] 14525 ab:aaab=b,bbaba=a finite:19;idempotents:1,bbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,bbbbbbbbba=a,aa=bbbbbba [09m33s] from: 14525 ab:aaab=b,bbaba=a finite:19;idempotents:1,bbba,bbbbbbbbb to: 14501 ab:aaab=b,abbba=a finite:19;idempotents:1,bbba,bbbbbbbbb a=a,b=b [09m33s] # 14526 solved: rounds:5,rules:5,peak:7,longest:7,steps:2,word:0,work:703,nodes:30,pairs:17,completionMax:71us [09m33s] 14526 ab:aaab=b,bbaba=b infinite ab - - ab:aaab=b,baaa=b,bbab=baa,babab=b,baabab=ba [09m33s] # 14527 solved: rounds:3,rules:4,peak:9,longest:7,steps:7,word:1,work:1380,nodes:30,pairs:11,completionMax:93us [09m33s] 14527 ab:aaab=b,bbabb=a infinite b/a - - ab:bbbbb=b,abbbb=a,bba=abb,aaa=bbbb [09m33s] # 14528 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:197,nodes:20,pairs:5,completionMax:16us [09m33s] 14528 ab:aaab=b,bbabb=b infinite ab - - ab:aaab=b,bbab=babb,babbb=b [09m33s] # 14529 solved: rounds:3,rules:4,peak:7,longest:10,steps:4,word:10,work:636,nodes:28,pairs:17,completionMax:95us [09m33s] 14529 ab:aaab=b,bbbaa=a finite:19;idempotents:1,bbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,bbbbbbbbba=a,aa=bbbbbba [09m33s] from: 14529 ab:aaab=b,bbbaa=a finite:19;idempotents:1,bbba,bbbbbbbbb to: 14501 ab:aaab=b,abbba=a finite:19;idempotents:1,bbba,bbbbbbbbb a=a,b=b [09m33s] # 14530 solved: rounds:4,rules:4,peak:7,longest:8,steps:2,word:2,work:603,nodes:30,pairs:10,completionMax:80us [09m33s] 14530 ab:aaab=b,bbbaa=b infinite b/a - - ab:bbbbbbb=b,bab=bbbb,baa=bbbbb,aaab=b [09m33s] # 14531 solved: rounds:5,rules:4,peak:12,longest:31,steps:46,word:57,work:24572,nodes:174,pairs:72,completionMax:1127us [09m33s] 14531 ab:aaab=b,bbbab=a finite:85;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,abbbbbbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbb,aaa=bbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] from: 14531 ab:aaab=b,bbbab=a finite:85;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 14519 ab:aaab=b,babbb=a finite:85;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 14532 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:2us [09m33s] 14532 ab:aaab=b,bbbab=b infinite ab - - ab:aaab=b,bbbab=b [09m33s] # 14533 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:63,nodes:16,pairs:2,completionMax:13us [09m33s] 14533 ab:aaab=b,bbbba=a infinite ab - - ab:aaaa=a,aaab=b,bbbba=a,bbbbb=b [09m33s] # 14534 solved: rounds:5,rules:3,peak:7,longest:11,steps:4,word:10,work:757,nodes:32,pairs:12,completionMax:107us [09m33s] 14534 ab:aaab=b,bbbba=b infinite b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aaab=b [09m33s] # 14535 solved: rounds:1,rules:2,peak:2,longest:16,steps:2,word:8,work:100,nodes:32,pairs:3,completionMax:17us [09m33s] 14535 ab:aaab=b,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b,a=b5;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:15 b/a - - ab:bbbbbbbbbbbbbbbb=b,a=bbbbb [09m33s] from: 14535 ab:aaab=b,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b,a=b5;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:15 to: 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a=bbbbb,b=b [09m33s] # 14536 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:16,pairs:0,completionMax:3us [09m33s] 14536 ab:aaab=b,bbbbb=b infinite ab - - ab:aaab=b,bbbbb=b [09m33s] # 14537 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:1,work:89,nodes:14,pairs:1,completionMax:11us [09m33s] 14537 ab:aaba=a,aaaaa=a infinite a/b - - ab:aaaaa=a,aba=aaaa [09m33s] # 14538 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:8us [09m33s] 14538 ab:aaba=a,aaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaaa [09m33s] from: 14538 ab:aaba=a,aaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbb,b=b [09m33s] # 14539 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:164,nodes:12,pairs:7,completionMax:17us [09m33s] 14539 ab:aaba=a,aaaab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14539 ab:aaba=a,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14540 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:1,work:146,nodes:14,pairs:6,completionMax:20us [09m33s] 14540 ab:aaba=a,aaaab=b finite:9;idempotents:1,aab,aaaa a/b - - ab:aaaaa=a,ba=aaa,aaaab=b,bb=aab [09m33s] from: 14540 ab:aaba=a,aaaab=b finite:9;idempotents:1,aab,aaaa to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=b,b=a [09m33s] # 14541 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:43,nodes:8,pairs:3,completionMax:6us [09m33s] 14541 ab:aaba=a,aaaba=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 14541 ab:aaba=a,aaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 14542 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:1,completionMax:7us [09m33s] 14542 ab:aaba=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14542 ab:aaba=a,aaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14543 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:1us [09m33s] 14543 ab:aaba=a,aaabb=a infinite ab - - ab:aaba=a,aaabb=a [09m33s] # 14544 solved: rounds:4,rules:4,peak:4,longest:5,steps:1,word:0,work:61,nodes:12,pairs:5,completionMax:20us [09m33s] 14544 ab:aaba=a,aaabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [09m33s] from: 14544 ab:aaba=a,aaabb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14545 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:42,nodes:8,pairs:3,completionMax:9us [09m33s] 14545 ab:aaba=a,aabaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 14545 ab:aaba=a,aabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 14546 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:11us [09m33s] 14546 ab:aaba=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14546 ab:aaba=a,aabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14547 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:1,completionMax:6us [09m33s] 14547 ab:aaba=a,aabab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14547 ab:aaba=a,aabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14548 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:51,nodes:8,pairs:3,completionMax:8us [09m33s] 14548 ab:aaba=a,aabab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [09m33s] from: 14548 ab:aaba=a,aabab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14549 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:10,pairs:0,completionMax:2us [09m33s] 14549 ab:aaba=a,aabba=a infinite ab - - ab:aaba=a,aabba=a [09m33s] # 14550 solved: rounds:4,rules:2,peak:8,longest:5,steps:4,word:0,work:458,nodes:18,pairs:22,completionMax:47us [09m33s] 14550 ab:aaba=a,aabba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14550 ab:aaba=a,aabba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14551 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [09m33s] 14551 ab:aaba=a,aabbb=a infinite ab - - ab:aaba=a,aabbb=a [09m33s] # 14552 solved: rounds:5,rules:4,peak:4,longest:5,steps:2,word:0,work:72,nodes:10,pairs:5,completionMax:15us [09m33s] 14552 ab:aaba=a,aabbb=b finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [09m33s] from: 14552 ab:aaba=a,aabbb=b finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14553 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:389,nodes:14,pairs:14,completionMax:34us [09m33s] 14553 ab:aaba=a,abaaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 14553 ab:aaba=a,abaaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 14554 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:5,work:343,nodes:24,pairs:19,completionMax:50us [09m33s] 14554 ab:aaba=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaa=a,b=aa [09m33s] from: 14554 ab:aaba=a,abaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [09m33s] # 14555 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:146,nodes:14,pairs:14,completionMax:26us [09m33s] 14555 ab:aaba=a,abaab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 14555 ab:aaba=a,abaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 14556 solved: rounds:3,rules:4,peak:6,longest:5,steps:3,word:0,work:275,nodes:14,pairs:20,completionMax:47us [09m33s] 14556 ab:aaba=a,abaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [09m33s] from: 14556 ab:aaba=a,abaab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14557 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:109,nodes:14,pairs:4,completionMax:23us [09m33s] 14557 ab:aaba=a,ababa=a infinite ab - - ab:aaa=a,aba=aa [09m33s] from: 14557 ab:aaba=a,ababa=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [09m33s] # 14558 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:797,nodes:22,pairs:63,completionMax:126us [09m33s] 14558 ab:aaba=a,ababa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14558 ab:aaba=a,ababa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14559 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:55,nodes:14,pairs:2,completionMax:16us [09m33s] 14559 ab:aaba=a,ababb=a infinite ab - - ab:abb=aa,aaba=a,abaa=a [09m33s] # 14560 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:102,nodes:14,pairs:9,completionMax:33us [09m33s] 14560 ab:aaba=a,ababb=b finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [09m33s] from: 14560 ab:aaba=a,ababb=b finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14561 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:136,nodes:14,pairs:3,completionMax:14us [09m33s] 14561 ab:aaba=a,abbaa=a infinite ab - - ab:aaba=a,abaa=a,abba=aba [09m33s] # 14562 solved: rounds:3,rules:2,peak:14,longest:5,steps:6,word:0,work:1320,nodes:26,pairs:29,completionMax:101us [09m33s] 14562 ab:aaba=a,abbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14562 ab:aaba=a,abbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14563 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:4,work:471,nodes:16,pairs:18,completionMax:64us [09m33s] 14563 ab:aaba=a,abbab=a infinite a/b - - ab:aaaaaa=a,ab=aaaa [09m33s] from: 14563 ab:aaba=a,abbab=a infinite to: 5205 ab:aab=bb,abbb=b infinite anti:a=b,b=a [09m33s] # 14564 solved: rounds:5,rules:4,peak:5,longest:5,steps:3,word:0,work:268,nodes:20,pairs:14,completionMax:41us [09m33s] 14564 ab:aaba=a,abbab=b finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [09m33s] from: 14564 ab:aaba=a,abbab=b finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14565 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:2us [09m33s] 14565 ab:aaba=a,abbba=a infinite ab - - ab:aaba=a,abbba=a [09m33s] # 14566 solved: rounds:3,rules:2,peak:10,longest:5,steps:4,word:1,work:1480,nodes:22,pairs:50,completionMax:123us [09m33s] 14566 ab:aaba=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14566 ab:aaba=a,abbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14567 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [09m33s] 14567 ab:aaba=a,abbbb=a infinite ab - - ab:aaba=a,abbbb=a [09m33s] # 14568 solved: rounds:5,rules:4,peak:6,longest:6,steps:3,word:2,work:372,nodes:20,pairs:17,completionMax:65us [09m33s] 14568 ab:aaba=a,abbbb=b finite:11;idempotents:1,aab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaa,aaaaab=b,bb=aaab [09m33s] # 14569 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:418,nodes:18,pairs:14,completionMax:45us [09m33s] 14569 ab:aaba=a,baaaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 14569 ab:aaba=a,baaaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 14570 solved: rounds:3,rules:4,peak:8,longest:5,steps:2,word:1,work:604,nodes:24,pairs:19,completionMax:87us [09m33s] 14570 ab:aaba=a,baaaa=b finite:9;idempotents:1,baa,aaaa a/b - - ab:aaaaa=a,baaaa=b,ab=aaa,bb=baa [09m33s] from: 14570 ab:aaba=a,baaaa=b finite:9;idempotents:1,baa,aaaa to: 14442 ab:aaab=a,baaaa=b finite:9;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 14571 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:177,nodes:18,pairs:15,completionMax:68us [09m33s] 14571 ab:aaba=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 14571 ab:aaba=a,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 14572 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:187,nodes:18,pairs:13,completionMax:49us [09m33s] 14572 ab:aaba=a,baaab=b infinite ab - - ab:aa=a,aba=a,bab=b [09m33s] from: 14572 ab:aaba=a,baaab=b infinite to: 2099 ab:aba=a,baab=b infinite a=a,b=b [09m33s] # 14573 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:10,pairs:1,completionMax:8us [09m33s] 14573 ab:aaba=a,baaba=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 14573 ab:aaba=a,baaba=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 14574 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:74,nodes:10,pairs:4,completionMax:14us [09m33s] 14574 ab:aaba=a,baaba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14574 ab:aaba=a,baaba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14575 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:2,work:161,nodes:18,pairs:8,completionMax:37us [09m33s] 14575 ab:aaba=a,baabb=a infinite a/b - - ab:aaaaaa=a,ba=aaaa,abb=aa [09m33s] from: 14575 ab:aaba=a,baabb=a infinite to: 5219 ab:aab=bb,bbba=b infinite anti:a=b,b=a [09m33s] # 14576 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:82,nodes:16,pairs:3,completionMax:15us [09m33s] 14576 ab:aaba=a,baabb=b infinite ab - - ab:bb=b,aaba=a,baab=b [09m33s] # 14577 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:257,nodes:20,pairs:14,completionMax:29us [09m33s] 14577 ab:aaba=a,babaa=a infinite ab - - ab:ba=a,aaa=a [09m33s] from: 14577 ab:aaba=a,babaa=a infinite to: 1693 ab:abb=bb,bbb=b infinite a=b,b=a [09m33s] # 14578 solved: rounds:3,rules:4,peak:8,longest:5,steps:4,word:0,work:437,nodes:22,pairs:24,completionMax:47us [09m33s] 14578 ab:aaba=a,babaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14578 ab:aaba=a,babaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14579 solved: rounds:3,rules:3,peak:7,longest:6,steps:5,word:4,work:898,nodes:26,pairs:26,completionMax:72us [09m33s] 14579 ab:aaba=a,babab=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaa,ab=aaaa [09m33s] from: 14579 ab:aaba=a,babab=a infinite;commutative:ab:a6=a,ab=a4;saturation:a:a5=1;noncancellative:bb,a,aaaa,aaaaa;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=b,b=a [09m33s] # 14580 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:0,work:198,nodes:20,pairs:11,completionMax:32us [09m33s] 14580 ab:aaba=a,babab=b infinite ab - - ab:aaa=a,aba=aa,baab=b [09m33s] # 14581 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:2,work:493,nodes:24,pairs:13,completionMax:58us [09m33s] 14581 ab:aaba=a,babba=a infinite a/b - - ab:aaaaaa=a,ba=aaaa [09m33s] from: 14581 ab:aaba=a,babba=a infinite to: 5205 ab:aab=bb,abbb=b infinite a=b,b=a [09m33s] # 14582 solved: rounds:4,rules:4,peak:10,longest:5,steps:3,word:0,work:1027,nodes:26,pairs:30,completionMax:84us [09m33s] 14582 ab:aaba=a,babba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14582 ab:aaba=a,babba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14583 solved: rounds:3,rules:3,peak:8,longest:9,steps:2,word:5,work:813,nodes:36,pairs:20,completionMax:74us [09m33s] 14583 ab:aaba=a,babbb=a infinite a/b - - ab:aaaaaaaaa=a,ba=aaaaaaa,abbb=aaa [09m33s] from: 14583 ab:aaba=a,babbb=a infinite to: 14467 ab:aaab=a,bbbab=a infinite anti:a=a,b=b [09m33s] # 14584 solved: rounds:6,rules:7,peak:8,longest:9,steps:3,word:7,work:613,nodes:32,pairs:10,completionMax:100us [09m33s] 14584 ab:aaba=a,babbb=b infinite b/a - - ab:babbb=b,bbab=babb,aab=abbb,abbba=a,abbbbba=aa,baa=bbba,aaa=abbbbbbba [09m33s] # 14585 solved: rounds:2,rules:6,peak:7,longest:5,steps:1,word:1,work:117,nodes:27,pairs:7,completionMax:30us [09m33s] 14585 ab:aaba=a,bbaaa=a infinite ac/b ba=c frequency:2/1 abc:aac=a,aca=a,cac=c,cca=c,ba=c,bc=acc [09m33s] # 14586 solved: rounds:3,rules:4,peak:8,longest:5,steps:5,word:0,work:370,nodes:20,pairs:15,completionMax:59us [09m33s] 14586 ab:aaba=a,bbaaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14586 ab:aaba=a,bbaaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14587 solved: rounds:2,rules:3,peak:8,longest:8,steps:4,word:2,work:836,nodes:28,pairs:11,completionMax:76us [09m33s] 14587 ab:aaba=a,bbaab=a infinite a/b - - ab:aaaaaa=a,ab=aaaa,bba=aa [09m33s] from: 14587 ab:aaba=a,bbaab=a infinite to: 5219 ab:aab=bb,bbba=b infinite a=b,b=a [09m33s] # 14588 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:76,nodes:16,pairs:3,completionMax:19us [09m33s] 14588 ab:aaba=a,bbaab=b infinite ab - - ab:bb=b,aaba=a,baab=b [09m33s] from: 14588 ab:aaba=a,bbaab=b infinite to: 14576 ab:aaba=a,baabb=b infinite a=a,b=b [09m33s] # 14589 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:16,pairs:0,completionMax:5us [09m33s] 14589 ab:aaba=a,bbaba=a infinite ab - - ab:aaba=a,bbaba=a [09m33s] # 14590 solved: rounds:3,rules:4,peak:6,longest:5,steps:2,word:0,work:240,nodes:20,pairs:16,completionMax:48us [09m33s] 14590 ab:aaba=a,bbaba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14590 ab:aaba=a,bbaba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14591 solved: rounds:2,rules:18,peak:18,longest:5,steps:4,word:0,work:1324,nodes:76,pairs:39,completionMax:121us [09m33s] 14591 ab:aaba=a,bbabb=a infinite reversed:d/acb bb=c,abab=d frequency:2/0,4/0 abcd:add=dad,cd=dc,dbd=dc,adad=d,ab=ad,adb=ac,cb=bc,bb=c,aada=a,cada=db,dbada=db,aac=caa,adac=db,aadc=caad,cac=a,cadc=ad,dbac=adaa,dbadc=adaad [09m33s] # 14592 solved: rounds:6,rules:7,peak:7,longest:9,steps:4,word:7,work:719,nodes:28,pairs:11,completionMax:68us [09m33s] 14592 ab:aaba=a,bbabb=b infinite b/a - - ab:babbb=b,bbab=babb,aab=abbb,abbba=a,abbbbba=aa,baa=bbba,aaa=abbbbbbba [09m33s] from: 14592 ab:aaba=a,bbabb=b infinite to: 14584 ab:aaba=a,babbb=b infinite a=a,b=b [09m33s] # 14593 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:61,nodes:18,pairs:2,completionMax:17us [09m33s] 14593 ab:aaba=a,bbbaa=a infinite ab - - ab:aaba=a,abaa=a,bbba=aba [09m33s] # 14594 solved: rounds:6,rules:4,peak:7,longest:5,steps:3,word:0,work:632,nodes:20,pairs:22,completionMax:95us [09m33s] 14594 ab:aaba=a,bbbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [09m33s] from: 14594 ab:aaba=a,bbbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [09m33s] # 14595 solved: rounds:4,rules:3,peak:13,longest:9,steps:10,word:10,work:5945,nodes:60,pairs:32,completionMax:332us [09m33s] 14595 ab:aaba=a,bbbab=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaaaaaa,bbba=aaa [09m33s] from: 14595 ab:aaba=a,bbbab=a infinite to: 14467 ab:aaab=a,bbbab=a infinite a=a,b=b [09m33s] # 14596 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:4us [09m33s] 14596 ab:aaba=a,bbbab=b infinite ab - - ab:aaba=a,bbbab=b [09m33s] # 14597 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:16,pairs:0,completionMax:2us [09m33s] 14597 ab:aaba=a,bbbba=a infinite ab - - ab:aaba=a,bbbba=a [09m33s] # 14598 solved: rounds:5,rules:4,peak:7,longest:6,steps:7,word:2,work:1447,nodes:22,pairs:33,completionMax:147us [09m33s] 14598 ab:aaba=a,bbbba=b finite:11;idempotents:1,baa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaa,bb=baaa [09m33s] from: 14598 ab:aaba=a,bbbba=b finite:11;idempotents:1,baa,aaaaa to: 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa a=a,b=b [09m33s] # 14599 solved: rounds:1,rules:2,peak:2,longest:16,steps:3,word:12,work:271,nodes:32,pairs:3,completionMax:25us [09m33s] 14599 ab:aaba=a,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] from: 14599 ab:aaba=a,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 to: 12194 ab:aaaa=ab,bbbb=a finite:16;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b5,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbb,b=b [09m33s] # 14600 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:5us [09m33s] 14600 ab:aaba=a,bbbbb=b infinite ab - - ab:aaba=a,bbbbb=b [09m33s] # 14601 solved: rounds:2,rules:3,peak:6,longest:5,steps:5,word:3,work:508,nodes:22,pairs:14,completionMax:59us [09m33s] 14601 ab:aaba=b,aaaaa=a infinite reversed:a/b - - ab:aaaaa=a,aaaab=b,ba=aab [09m33s] # 14602 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:8,work:162,nodes:16,pairs:2,completionMax:14us [09m33s] 14602 ab:aaba=b,aaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaaaa [09m33s] from: 14602 ab:aaba=b,aaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbbbb [09m33s] # 14603 solved: rounds:2,rules:2,peak:5,longest:5,steps:6,word:2,work:340,nodes:20,pairs:20,completionMax:50us [09m33s] 14603 ab:aaba=b,aaaab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14603 ab:aaba=b,aaaab=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14604 solved: rounds:1,rules:2,peak:3,longest:5,steps:6,word:3,work:106,nodes:16,pairs:3,completionMax:12us [09m33s] 14604 ab:aaba=b,aaaab=b infinite reversed:a/b - - ab:aaaab=b,ba=aab [09m33s] from: 14604 ab:aaba=b,aaaab=b infinite to: 1639 ab:aab=ba,baa=b infinite a=a,b=b [09m33s] # 14605 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:2,work:93,nodes:10,pairs:4,completionMax:20us [09m33s] 14605 ab:aaba=b,aaaba=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14605 ab:aaba=b,aaaba=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14606 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:8,pairs:2,completionMax:6us [09m33s] 14606 ab:aaba=b,aaaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [09m33s] from: 14606 ab:aaba=b,aaaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [09m33s] # 14607 solved: rounds:3,rules:2,peak:9,longest:7,steps:4,word:2,work:1227,nodes:40,pairs:46,completionMax:158us [09m33s] 14607 ab:aaba=b,aaabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14607 ab:aaba=b,aaabb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14608 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:978,nodes:28,pairs:48,completionMax:125us [09m33s] 14608 ab:aaba=b,aaabb=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 14608 ab:aaba=b,aaabb=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 14609 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:4,work:226,nodes:14,pairs:4,completionMax:36us [09m33s] 14609 ab:aaba=b,aabaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14609 ab:aaba=b,aabaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14610 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:10,pairs:2,completionMax:6us [09m33s] 14610 ab:aaba=b,aabaa=b infinite ab - - ab:ba=b,aab=b [09m33s] from: 14610 ab:aaba=b,aabaa=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [09m33s] # 14611 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:63,nodes:14,pairs:3,completionMax:8us [09m33s] 14611 ab:aaba=b,aabab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14611 ab:aaba=b,aabab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14612 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:774,nodes:24,pairs:5,completionMax:28us [09m33s] 14612 ab:aaba=b,aabab=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14612 ab:aaba=b,aabab=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14613 solved: rounds:3,rules:2,peak:11,longest:11,steps:25,word:134,work:5642,nodes:34,pairs:88,completionMax:395us [09m33s] 14613 ab:aaba=b,aabba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14613 ab:aaba=b,aabba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14614 solved: rounds:3,rules:3,peak:12,longest:7,steps:9,word:6,work:3026,nodes:28,pairs:88,completionMax:207us [09m33s] 14614 ab:aaba=b,aabba=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14614 ab:aaba=b,aabba=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14615 solved: rounds:3,rules:2,peak:10,longest:18,steps:17,word:15,work:5924,nodes:52,pairs:54,completionMax:310us [09m33s] 14615 ab:aaba=b,aabbb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14615 ab:aaba=b,aabbb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14616 solved: rounds:3,rules:3,peak:9,longest:11,steps:3,word:2,work:1315,nodes:36,pairs:18,completionMax:119us [09m33s] 14616 ab:aaba=b,aabbb=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14616 ab:aaba=b,aabbb=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14617 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:4,work:797,nodes:28,pairs:10,completionMax:62us [09m33s] 14617 ab:aaba=b,abaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14617 ab:aaba=b,abaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14618 solved: rounds:2,rules:2,peak:3,longest:6,steps:6,word:3,work:171,nodes:14,pairs:8,completionMax:16us [09m33s] 14618 ab:aaba=b,abaaa=b infinite a/b - - ab:baaaaa=b,ab=baa [09m33s] from: 14618 ab:aaba=b,abaaa=b infinite to: 12271 ab:aaab=ba,aaba=b infinite a=a,b=b [09m33s] # 14619 solved: rounds:2,rules:2,peak:6,longest:7,steps:7,word:2,work:723,nodes:26,pairs:20,completionMax:56us [09m33s] 14619 ab:aaba=b,abaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14619 ab:aaba=b,abaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14620 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:625,nodes:20,pairs:27,completionMax:74us [09m33s] 14620 ab:aaba=b,abaab=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 14620 ab:aaba=b,abaab=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 14621 solved: rounds:3,rules:2,peak:8,longest:8,steps:3,word:2,work:877,nodes:32,pairs:27,completionMax:125us [09m33s] 14621 ab:aaba=b,ababa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14621 ab:aaba=b,ababa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14622 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:1018,nodes:22,pairs:37,completionMax:94us [09m33s] 14622 ab:aaba=b,ababa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 14622 ab:aaba=b,ababa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 14623 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:10,work:686,nodes:36,pairs:18,completionMax:88us [09m33s] 14623 ab:aaba=b,ababb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14623 ab:aaba=b,ababb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14624 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:269,nodes:22,pairs:15,completionMax:59us [09m33s] 14624 ab:aaba=b,ababb=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14624 ab:aaba=b,ababb=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=b,b=a [09m33s] # 14625 solved: rounds:3,rules:2,peak:11,longest:7,steps:3,word:2,work:1103,nodes:28,pairs:28,completionMax:124us [09m33s] 14625 ab:aaba=b,abbaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14625 ab:aaba=b,abbaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14626 solved: rounds:3,rules:3,peak:15,longest:5,steps:6,word:0,work:2675,nodes:30,pairs:34,completionMax:132us [09m33s] 14626 ab:aaba=b,abbaa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 ab - - ab:ba=ab,bb=b,aaab=b [09m33s] from: 14626 ab:aaba=b,abbaa=b infinite;commutative:ab:b2=b,a3b=b;saturation:a:a3=1;noncancellative:b,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=b,b=a [09m33s] # 14627 solved: rounds:4,rules:2,peak:10,longest:10,steps:8,word:5,work:1378,nodes:30,pairs:37,completionMax:110us [09m33s] 14627 ab:aaba=b,abbab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14627 ab:aaba=b,abbab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14628 solved: rounds:2,rules:3,peak:8,longest:7,steps:5,word:2,work:966,nodes:30,pairs:18,completionMax:64us [09m33s] 14628 ab:aaba=b,abbab=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14628 ab:aaba=b,abbab=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=b,b=a [09m33s] # 14629 solved: rounds:4,rules:2,peak:9,longest:10,steps:7,word:5,work:802,nodes:26,pairs:24,completionMax:79us [09m33s] 14629 ab:aaba=b,abbba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14629 ab:aaba=b,abbba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14630 solved: rounds:4,rules:3,peak:10,longest:15,steps:5,word:14,work:4323,nodes:52,pairs:31,completionMax:192us [09m33s] 14630 ab:aaba=b,abbba=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 b/a - - ab:bbbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14630 ab:aaba=b,abbba=b infinite;commutative:ab:b3=ab,a3b=b;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=b,b=a [09m33s] # 14631 solved: rounds:6,rules:4,peak:10,longest:32,steps:45,word:105,work:25706,nodes:100,pairs:48,completionMax:1044us [09m33s] 14631 ab:aaba=b,abbbb=a finite:61;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,baaaaaaaaaaaaaaa=b,ab=baaaaaaa,bbbb=aaaaaaaaaaaaaaa [09m33s] # 14632 solved: rounds:3,rules:3,peak:8,longest:13,steps:3,word:5,work:1283,nodes:42,pairs:14,completionMax:116us [09m33s] 14632 ab:aaba=b,abbbb=b infinite;commutative:ab:b4=a2b,a3b=b;saturation:a:a9=1;noncancellative:bbb,aa,ab,b;smith:9 b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb [09m33s] # 14633 solved: rounds:2,rules:2,peak:7,longest:5,steps:6,word:2,work:741,nodes:18,pairs:28,completionMax:296us [09m33s] 14633 ab:aaba=b,baaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [09m33s] from: 14633 ab:aaba=b,baaaa=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [09m33s] # 14634 solved: rounds:4,rules:2,peak:6,longest:10,steps:18,word:23,work:1519,nodes:36,pairs:13,completionMax:102us [09m33s] 14634 ab:aaba=b,baaaa=b infinite reversed:a/b - - ab:aaaaaaaab=b,ba=aaaaaab [09m33s] # 14635 solved: rounds:3,rules:2,peak:13,longest:14,steps:10,word:9,work:6269,nodes:66,pairs:90,completionMax:497us [09m33s] 14635 ab:aaba=b,baaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14635 ab:aaba=b,baaab=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14636 solved: rounds:2,rules:3,peak:9,longest:9,steps:6,word:6,work:845,nodes:28,pairs:17,completionMax:57us [09m33s] 14636 ab:aaba=b,baaab=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14636 ab:aaba=b,baaab=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14637 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:64,nodes:14,pairs:3,completionMax:12us [09m33s] 14637 ab:aaba=b,baaba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14637 ab:aaba=b,baaba=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14638 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:773,nodes:24,pairs:5,completionMax:41us [09m33s] 14638 ab:aaba=b,baaba=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14638 ab:aaba=b,baaba=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14639 solved: rounds:3,rules:2,peak:12,longest:13,steps:4,word:10,work:2231,nodes:46,pairs:33,completionMax:141us [09m33s] 14639 ab:aaba=b,baabb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14639 ab:aaba=b,baabb=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14640 solved: rounds:3,rules:3,peak:8,longest:10,steps:3,word:2,work:1329,nodes:42,pairs:18,completionMax:124us [09m33s] 14640 ab:aaba=b,baabb=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14640 ab:aaba=b,baabb=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14641 solved: rounds:2,rules:2,peak:8,longest:7,steps:4,word:2,work:875,nodes:28,pairs:25,completionMax:118us [09m33s] 14641 ab:aaba=b,babaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14641 ab:aaba=b,babaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14642 solved: rounds:3,rules:3,peak:13,longest:7,steps:4,word:6,work:2375,nodes:30,pairs:71,completionMax:270us [09m33s] 14642 ab:aaba=b,babaa=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14642 ab:aaba=b,babaa=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14643 solved: rounds:3,rules:2,peak:9,longest:10,steps:8,word:10,work:1776,nodes:20,pairs:59,completionMax:232us [09m33s] 14643 ab:aaba=b,babab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14643 ab:aaba=b,babab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14644 solved: rounds:3,rules:3,peak:8,longest:7,steps:3,word:2,work:1434,nodes:40,pairs:36,completionMax:163us [09m33s] 14644 ab:aaba=b,babab=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14644 ab:aaba=b,babab=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14645 solved: rounds:3,rules:2,peak:14,longest:16,steps:12,word:15,work:5766,nodes:48,pairs:41,completionMax:324us [09m33s] 14645 ab:aaba=b,babba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14645 ab:aaba=b,babba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14646 solved: rounds:4,rules:3,peak:9,longest:9,steps:5,word:2,work:1514,nodes:28,pairs:19,completionMax:114us [09m33s] 14646 ab:aaba=b,babba=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14646 ab:aaba=b,babba=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14647 solved: rounds:2,rules:4,peak:10,longest:6,steps:10,word:0,work:1661,nodes:28,pairs:22,completionMax:139us [09m33s] 14647 ab:aaba=b,babbb=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 ab - - ab:ba=ab,aaaa=a,aaab=b,bbbb=aaa [09m33s] # 14648 solved: rounds:3,rules:3,peak:6,longest:10,steps:4,word:10,work:701,nodes:30,pairs:11,completionMax:101us [09m33s] 14648 ab:aaba=b,babbb=b infinite b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aab=bbbb [09m33s] # 14649 solved: rounds:3,rules:2,peak:11,longest:8,steps:4,word:3,work:1583,nodes:34,pairs:33,completionMax:124us [09m33s] 14649 ab:aaba=b,bbaaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 b/a - - ab:bbbbbbb=b,a=bb [09m33s] from: 14649 ab:aaba=b,bbaaa=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b,a=b2;saturation:a:a6=1;noncancellative:bbbbbb,1,bbb,bbb;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=aa,b=a [09m33s] # 14650 solved: rounds:3,rules:3,peak:13,longest:7,steps:8,word:6,work:2420,nodes:34,pairs:61,completionMax:238us [09m33s] 14650 ab:aaba=b,bbaaa=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aaaab,bb=b [09m33s] from: 14650 ab:aaba=b,bbaaa=b infinite to: 896 ab:aa=a,babb=a infinite anti:a=b,b=a [09m33s] # 14651 solved: rounds:2,rules:2,peak:5,longest:10,steps:4,word:5,work:413,nodes:26,pairs:16,completionMax:60us [09m33s] 14651 ab:aaba=b,bbaab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14651 ab:aaba=b,bbaab=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14652 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:2,work:196,nodes:20,pairs:8,completionMax:29us [09m33s] 14652 ab:aaba=b,bbaab=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14652 ab:aaba=b,bbaab=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14653 solved: rounds:3,rules:2,peak:10,longest:10,steps:10,word:10,work:4723,nodes:42,pairs:72,completionMax:352us [09m33s] 14653 ab:aaba=b,bbaba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14653 ab:aaba=b,bbaba=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14654 solved: rounds:3,rules:3,peak:9,longest:11,steps:10,word:2,work:1436,nodes:38,pairs:25,completionMax:133us [09m33s] 14654 ab:aaba=b,bbaba=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14654 ab:aaba=b,bbaba=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14655 solved: rounds:3,rules:4,peak:13,longest:5,steps:5,word:0,work:2888,nodes:34,pairs:47,completionMax:209us [09m33s] 14655 ab:aaba=b,bbabb=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 ab - - ab:ba=ab,aaaa=a,aaab=b,bbbb=aaa [09m33s] from: 14655 ab:aaba=b,bbabb=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 to: 14647 ab:aaba=b,babbb=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 a=a,b=b [09m33s] # 14656 solved: rounds:3,rules:3,peak:10,longest:10,steps:5,word:10,work:2399,nodes:34,pairs:47,completionMax:420us [09m33s] 14656 ab:aaba=b,bbabb=b infinite b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aab=bbbb [09m33s] from: 14656 ab:aaba=b,bbabb=b infinite to: 14648 ab:aaba=b,babbb=b infinite a=a,b=b [09m33s] # 14657 solved: rounds:3,rules:2,peak:9,longest:10,steps:4,word:10,work:1196,nodes:30,pairs:22,completionMax:100us [09m33s] 14657 ab:aaba=b,bbbaa=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbb=b,a=bbbbbb [09m33s] from: 14657 ab:aaba=b,bbbaa=a finite:10;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b,a=b6;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaaa,b=a [09m33s] # 14658 solved: rounds:3,rules:3,peak:8,longest:7,steps:3,word:2,work:893,nodes:24,pairs:15,completionMax:76us [09m33s] 14658 ab:aaba=b,bbbaa=b infinite b/a - - ab:bbbbbbb=b,ba=bbb,aab=bbbbb [09m33s] from: 14658 ab:aaba=b,bbbaa=b infinite to: 5068 ab:aaa=ab,bbab=a infinite a=b,b=a [09m33s] # 14659 solved: rounds:4,rules:4,peak:21,longest:8,steps:7,word:0,work:7021,nodes:62,pairs:78,completionMax:714us [09m33s] 14659 ab:aaba=b,bbbab=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 ab - - ab:ba=ab,aaaa=a,aaab=b,bbbb=aaa [09m33s] from: 14659 ab:aaba=b,bbbab=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 to: 14647 ab:aaba=b,babbb=a finite:13;idempotents:1,aaa;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a4=a,a3b=b,b4=a3;saturation:ab:b3=1,a4=1;noncancellative:aaa,1,ab,ab;smith:12 a=a,b=b [09m33s] # 14660 solved: rounds:4,rules:3,peak:11,longest:10,steps:6,word:10,work:2094,nodes:42,pairs:53,completionMax:188us [09m33s] 14660 ab:aaba=b,bbbab=b infinite b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aab=bbbb [09m33s] from: 14660 ab:aaba=b,bbbab=b infinite to: 14648 ab:aaba=b,babbb=b infinite a=a,b=b [09m33s] # 14661 solved: rounds:5,rules:4,peak:25,longest:18,steps:34,word:23,work:50323,nodes:118,pairs:165,completionMax:2360us [09m33s] 14661 ab:aaba=b,bbbba=a finite:61;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,baaaaaaaaaaaaaaa=b,ab=baaaaaaa,bbbb=aaaaaaaaaaaaaaa [09m33s] from: 14661 ab:aaba=b,bbbba=a finite:61;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa to: 14631 ab:aaba=b,abbbb=a finite:61;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa a=a,b=b [09m33s] # 14662 solved: rounds:4,rules:3,peak:8,longest:12,steps:4,word:10,work:1444,nodes:34,pairs:21,completionMax:164us [09m33s] 14662 ab:aaba=b,bbbba=b infinite b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aab=bbbb [09m33s] from: 14662 ab:aaba=b,bbbba=b infinite to: 14648 ab:aaba=b,babbb=b infinite a=a,b=b [09m33s] # 14663 solved: rounds:1,rules:2,peak:2,longest:16,steps:2,word:8,work:119,nodes:32,pairs:3,completionMax:39us [09m33s] 14663 ab:aaba=b,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b,a=b5;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:15 b/a - - ab:bbbbbbbbbbbbbbbb=b,a=bbbbb [09m33s] from: 14663 ab:aaba=b,bbbbb=a finite:16;idempotents:1,bbbbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=b,a=b5;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:15 to: 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a=bbbbb,b=b [09m33s] # 14664 solved: rounds:4,rules:3,peak:11,longest:34,steps:100,word:81,work:78651,nodes:172,pairs:47,completionMax:1326us [09m33s] 14664 ab:aaba=b,bbbbb=b infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaab=b,ba=aaaaaaaaaaaaaaaaaaaaaaaaaaaab,bbbbb=b [09m33s] # 14665 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:32,nodes:14,pairs:1,completionMax:6us [09m33s] 14665 ab:aabb=a,aaaaa=a infinite a/b - - ab:aaaaa=a,abb=aaaa [09m33s] # 14666 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:47,nodes:24,pairs:2,completionMax:19us [09m33s] 14666 ab:aabb=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaaaa [09m33s] from: 14666 ab:aabb=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbbbbb,b=b [09m33s] # 14667 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:25,nodes:12,pairs:2,completionMax:10us [09m33s] 14667 ab:aabb=a,aaaab=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14667 ab:aabb=a,aaaab=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14668 solved: rounds:3,rules:2,peak:7,longest:15,steps:7,word:10,work:1198,nodes:40,pairs:23,completionMax:178us [09m33s] 14668 ab:aabb=a,aaaab=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14668 ab:aabb=a,aaaab=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14669 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:12,pairs:0,completionMax:3us [09m33s] 14669 ab:aabb=a,aaaba=a infinite ab - - ab:aabb=a,aaaba=a [09m33s] # 14670 solved: rounds:4,rules:2,peak:8,longest:12,steps:42,word:12,work:2271,nodes:38,pairs:20,completionMax:127us [09m33s] 14670 ab:aabb=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14670 ab:aabb=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14671 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:8,pairs:2,completionMax:6us [09m33s] 14671 ab:aabb=a,aaabb=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 14671 ab:aabb=a,aaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 14672 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:31,nodes:12,pairs:2,completionMax:8us [09m33s] 14672 ab:aabb=a,aaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14672 ab:aabb=a,aaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14673 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:1,work:274,nodes:14,pairs:9,completionMax:30us [09m33s] 14673 ab:aabb=a,aabaa=a infinite a/b - - ab:abaaa=a,aaba=abaa,abb=abaa [09m33s] # 14674 solved: rounds:2,rules:2,peak:7,longest:9,steps:4,word:10,work:770,nodes:32,pairs:23,completionMax:140us [09m33s] 14674 ab:aabb=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14674 ab:aabb=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14675 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [09m33s] 14675 ab:aabb=a,aabab=a infinite ab - - ab:aabb=a,aabab=a [09m33s] # 14676 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:0us [09m33s] 14676 ab:aabb=a,aabab=b infinite ab - - ab:aabb=a,aabab=b [09m33s] # 14677 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:8,pairs:2,completionMax:7us [09m33s] 14677 ab:aabb=a,aabba=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 14677 ab:aabb=a,aabba=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 14678 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:30,nodes:12,pairs:2,completionMax:15us [09m33s] 14678 ab:aabb=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14678 ab:aabb=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14679 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:1,completionMax:4us [09m33s] 14679 ab:aabb=a,aabbb=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14679 ab:aabb=a,aabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14680 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:2,completionMax:6us [09m33s] 14680 ab:aabb=a,aabbb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14680 ab:aabb=a,aabbb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14681 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:1,work:224,nodes:16,pairs:3,completionMax:23us [09m33s] 14681 ab:aabb=a,abaaa=a infinite a/b - - ab:abaaa=a,aaba=abaa,abb=abaa [09m33s] from: 14681 ab:aabb=a,abaaa=a infinite to: 14673 ab:aabb=a,aabaa=a infinite a=a,b=b [09m33s] # 14682 solved: rounds:3,rules:2,peak:11,longest:9,steps:5,word:10,work:1658,nodes:36,pairs:53,completionMax:436us [09m33s] 14682 ab:aabb=a,abaaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14682 ab:aabb=a,abaaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14683 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:137,nodes:16,pairs:9,completionMax:20us [09m33s] 14683 ab:aabb=a,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14683 ab:aabb=a,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14684 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:1,work:439,nodes:18,pairs:14,completionMax:36us [09m33s] 14684 ab:aabb=a,abaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14684 ab:aabb=a,abaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14685 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:4us [09m33s] 14685 ab:aabb=a,ababa=a infinite ab - - ab:aabb=a,ababa=a [09m33s] # 14686 solved: rounds:3,rules:2,peak:10,longest:9,steps:33,word:148,work:13709,nodes:26,pairs:83,completionMax:462us [09m33s] 14686 ab:aabb=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14686 ab:aabb=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14687 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [09m33s] 14687 ab:aabb=a,ababb=a infinite ab - - ab:aabb=a,ababb=a [09m33s] # 14688 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:0us [09m33s] 14688 ab:aabb=a,ababb=b infinite ab - - ab:aabb=a,ababb=b [09m33s] # 14689 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:281,nodes:14,pairs:13,completionMax:42us [09m33s] 14689 ab:aabb=a,abbaa=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 14689 ab:aabb=a,abbaa=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 14690 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:3,work:354,nodes:26,pairs:18,completionMax:40us [09m33s] 14690 ab:aabb=a,abbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14690 ab:aabb=a,abbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14691 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:0,work:737,nodes:16,pairs:11,completionMax:47us [09m33s] 14691 ab:aabb=a,abbab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14691 ab:aabb=a,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14692 solved: rounds:2,rules:2,peak:6,longest:5,steps:5,word:1,work:348,nodes:20,pairs:10,completionMax:45us [09m33s] 14692 ab:aabb=a,abbab=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14692 ab:aabb=a,abbab=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14693 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:52,nodes:14,pairs:1,completionMax:7us [09m33s] 14693 ab:aabb=a,abbba=a infinite ab - - ab:aba=aa,aabb=a,abbba=a [09m33s] # 14694 solved: rounds:2,rules:2,peak:11,longest:5,steps:4,word:1,work:733,nodes:26,pairs:14,completionMax:70us [09m33s] 14694 ab:aabb=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14694 ab:aabb=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14695 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:16,nodes:14,pairs:2,completionMax:7us [09m33s] 14695 ab:aabb=a,abbbb=a infinite ab - - ab:aaa=a,abb=aa [09m33s] from: 14695 ab:aabb=a,abbbb=a infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [09m33s] # 14696 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:30,nodes:14,pairs:6,completionMax:9us [09m33s] 14696 ab:aabb=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14696 ab:aabb=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14697 solved: rounds:3,rules:3,peak:7,longest:8,steps:2,word:2,work:882,nodes:28,pairs:18,completionMax:77us [09m33s] 14697 ab:aabb=a,baaaa=a infinite a/b - - ab:aaaaaa=a,ba=aaa,abb=aaaaa [09m33s] from: 14697 ab:aabb=a,baaaa=a infinite to: 5066 ab:aaa=ab,bbaa=a infinite anti:a=a,b=b [09m33s] # 14698 solved: rounds:4,rules:4,peak:8,longest:9,steps:4,word:5,work:996,nodes:34,pairs:33,completionMax:114us [09m33s] 14698 ab:aabb=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,abbbbbbbb=a,ba=bbbbbbb,aa=abbbbbb [09m33s] # 14699 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:556,nodes:20,pairs:20,completionMax:63us [09m33s] 14699 ab:aabb=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 14699 ab:aabb=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 14700 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:1,work:160,nodes:22,pairs:8,completionMax:36us [09m33s] 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] # 14701 solved: rounds:3,rules:4,peak:8,longest:5,steps:3,word:0,work:820,nodes:26,pairs:28,completionMax:94us [09m33s] 14701 ab:aabb=a,baaba=a infinite ab - - ab:aa=a,aba=ba,abb=a,bba=a [09m33s] from: 14701 ab:aabb=a,baaba=a infinite to: 12442 ab:aabb=aa,baba=a infinite a=a,b=b [09m33s] # 14702 solved: rounds:3,rules:4,peak:10,longest:6,steps:5,word:2,work:1927,nodes:26,pairs:42,completionMax:185us [09m33s] 14702 ab:aabb=a,baaba=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14702 ab:aabb=a,baaba=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14703 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:104,nodes:10,pairs:5,completionMax:26us [09m33s] 14703 ab:aabb=a,baabb=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 14703 ab:aabb=a,baabb=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 14704 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:64,nodes:12,pairs:4,completionMax:17us [09m33s] 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] # 14705 solved: rounds:3,rules:4,peak:11,longest:5,steps:5,word:0,work:1165,nodes:28,pairs:29,completionMax:125us [09m33s] 14705 ab:aabb=a,babaa=a infinite ab - - ab:aa=a,aba=ba,abb=a,bba=a [09m33s] from: 14705 ab:aabb=a,babaa=a infinite to: 12442 ab:aabb=aa,baba=a infinite a=a,b=b [09m33s] # 14706 solved: rounds:4,rules:4,peak:13,longest:7,steps:11,word:2,work:4341,nodes:44,pairs:56,completionMax:280us [09m33s] 14706 ab:aabb=a,babaa=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14706 ab:aabb=a,babaa=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14707 solved: rounds:3,rules:3,peak:7,longest:5,steps:7,word:0,work:678,nodes:18,pairs:13,completionMax:46us [09m33s] 14707 ab:aabb=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14707 ab:aabb=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14708 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:24,nodes:18,pairs:1,completionMax:5us [09m33s] 14708 ab:aabb=a,babab=b infinite ab - - ab:aabb=a,aabab=a,babab=b [09m33s] # 14709 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:608,nodes:18,pairs:16,completionMax:52us [09m33s] 14709 ab:aabb=a,babba=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 14709 ab:aabb=a,babba=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 14710 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:216,nodes:20,pairs:13,completionMax:40us [09m33s] 14710 ab:aabb=a,babba=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14710 ab:aabb=a,babba=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14711 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:853,nodes:24,pairs:32,completionMax:86us [09m33s] 14711 ab:aabb=a,babbb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 14711 ab:aabb=a,babbb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 14712 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:65,nodes:16,pairs:4,completionMax:14us [09m33s] 14712 ab:aabb=a,babbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14712 ab:aabb=a,babbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14713 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:845,nodes:28,pairs:36,completionMax:96us [09m33s] 14713 ab:aabb=a,bbaaa=a infinite ab - - ab:aa=a,abb=a,bba=a [09m33s] from: 14713 ab:aabb=a,bbaaa=a infinite to: 2077 ab:aab=b,bbaa=b infinite anti:a=b,b=a [09m33s] # 14714 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:3,work:653,nodes:30,pairs:21,completionMax:77us [09m33s] 14714 ab:aabb=a,bbaaa=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14714 ab:aabb=a,bbaaa=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14715 solved: rounds:3,rules:3,peak:9,longest:5,steps:5,word:0,work:1275,nodes:24,pairs:26,completionMax:87us [09m33s] 14715 ab:aabb=a,bbaab=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 14715 ab:aabb=a,bbaab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 14716 solved: rounds:3,rules:4,peak:8,longest:5,steps:3,word:0,work:482,nodes:24,pairs:26,completionMax:69us [09m33s] 14716 ab:aabb=a,bbaab=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14716 ab:aabb=a,bbaab=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14717 solved: rounds:6,rules:3,peak:11,longest:6,steps:4,word:0,work:2007,nodes:38,pairs:35,completionMax:179us [09m33s] 14717 ab:aabb=a,bbaba=a infinite ab - - ab:aba=aa,bba=abb,aabb=a [09m33s] # 14718 solved: rounds:3,rules:4,peak:9,longest:5,steps:3,word:0,work:885,nodes:26,pairs:49,completionMax:112us [09m33s] 14718 ab:aabb=a,bbaba=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14718 ab:aabb=a,bbaba=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14719 solved: rounds:3,rules:3,peak:9,longest:7,steps:6,word:2,work:1219,nodes:26,pairs:31,completionMax:72us [09m33s] 14719 ab:aabb=a,bbabb=a infinite b/a - - ab:abbbb=a,bba=abb,aa=abb [09m33s] from: 14719 ab:aabb=a,bbabb=a infinite to: 5215 ab:aab=bb,bbaa=b infinite a=b,b=a [09m33s] # 14720 solved: rounds:3,rules:4,peak:7,longest:5,steps:4,word:0,work:464,nodes:22,pairs:25,completionMax:45us [09m33s] 14720 ab:aabb=a,bbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14720 ab:aabb=a,bbabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14721 solved: rounds:3,rules:4,peak:8,longest:5,steps:4,word:0,work:1041,nodes:24,pairs:24,completionMax:89us [09m33s] 14721 ab:aabb=a,bbbaa=a infinite ab - - ab:aa=a,aba=a,abb=a,bbba=a [09m33s] # 14722 solved: rounds:3,rules:4,peak:12,longest:5,steps:3,word:0,work:1007,nodes:28,pairs:39,completionMax:122us [09m33s] 14722 ab:aabb=a,bbbaa=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14722 ab:aabb=a,bbbaa=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14723 solved: rounds:4,rules:3,peak:17,longest:16,steps:6,word:10,work:9824,nodes:48,pairs:98,completionMax:467us [09m33s] 14723 ab:aabb=a,bbbab=a infinite reversed:b/a - - ab:bbbbbbbbbbbba=a,ab=bbbbbbbbba,aa=bbbbbba [09m33s] # 14724 solved: rounds:4,rules:4,peak:11,longest:5,steps:5,word:0,work:1592,nodes:26,pairs:56,completionMax:159us [09m33s] 14724 ab:aabb=a,bbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14724 ab:aabb=a,bbbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14725 solved: rounds:4,rules:3,peak:7,longest:5,steps:2,word:0,work:449,nodes:26,pairs:8,completionMax:58us [09m33s] 14725 ab:aabb=a,bbbba=a infinite ab - - ab:aaa=a,abb=aa,bbbba=a [09m33s] # 14726 solved: rounds:3,rules:4,peak:12,longest:5,steps:5,word:0,work:1736,nodes:30,pairs:71,completionMax:147us [09m33s] 14726 ab:aabb=a,bbbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14726 ab:aabb=a,bbbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14727 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:141,nodes:24,pairs:2,completionMax:13us [09m33s] 14727 ab:aabb=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] from: 14727 ab:aabb=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=bbbbb,b=b [09m33s] # 14728 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:0,work:101,nodes:22,pairs:6,completionMax:23us [09m33s] 14728 ab:aabb=a,bbbbb=b infinite ab - - ab:aaa=a,abb=aa,bbbbb=b [09m33s] # 14729 solved: rounds:3,rules:3,peak:4,longest:5,steps:5,word:1,work:170,nodes:18,pairs:5,completionMax:30us [09m33s] 14729 ab:abab=a,aaaaa=a infinite reversed:a/b - - ab:aaaaa=a,aba=aab,abb=aaaa [09m33s] # 14730 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:51,nodes:24,pairs:2,completionMax:14us [09m33s] 14730 ab:abab=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaaaa [09m33s] from: 14730 ab:abab=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbbbbb,b=b [09m33s] # 14731 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:1,work:155,nodes:14,pairs:8,completionMax:29us [09m33s] 14731 ab:abab=a,aaaab=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14731 ab:abab=a,aaaab=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14732 solved: rounds:5,rules:2,peak:7,longest:9,steps:10,word:5,work:1346,nodes:20,pairs:28,completionMax:110us [09m33s] 14732 ab:abab=a,aaaab=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14732 ab:abab=a,aaaab=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14733 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:70,nodes:14,pairs:5,completionMax:18us [09m33s] 14733 ab:abab=a,aaaba=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14733 ab:abab=a,aaaba=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14734 solved: rounds:3,rules:2,peak:7,longest:9,steps:6,word:10,work:715,nodes:20,pairs:39,completionMax:95us [09m33s] 14734 ab:abab=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14734 ab:abab=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14735 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:125,nodes:14,pairs:5,completionMax:18us [09m33s] 14735 ab:abab=a,aaabb=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14735 ab:abab=a,aaabb=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14736 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:1,work:41,nodes:14,pairs:4,completionMax:13us [09m33s] 14736 ab:abab=a,aaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14736 ab:abab=a,aaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14737 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:2,work:146,nodes:16,pairs:5,completionMax:19us [09m33s] 14737 ab:abab=a,aabaa=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14737 ab:abab=a,aabaa=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14738 solved: rounds:3,rules:2,peak:12,longest:9,steps:32,word:7,work:6429,nodes:42,pairs:34,completionMax:245us [09m33s] 14738 ab:abab=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14738 ab:abab=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14739 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:66,nodes:8,pairs:5,completionMax:11us [09m33s] 14739 ab:abab=a,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14739 ab:abab=a,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14740 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:35,nodes:12,pairs:2,completionMax:9us [09m33s] 14740 ab:abab=a,aabab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14740 ab:abab=a,aabab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14741 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:209,nodes:14,pairs:6,completionMax:30us [09m33s] 14741 ab:abab=a,aabba=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14741 ab:abab=a,aabba=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14742 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:3,work:451,nodes:28,pairs:14,completionMax:43us [09m33s] 14742 ab:abab=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14742 ab:abab=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14743 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:90,nodes:14,pairs:7,completionMax:15us [09m33s] 14743 ab:abab=a,aabbb=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14743 ab:abab=a,aabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14744 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:1,work:95,nodes:14,pairs:8,completionMax:24us [09m33s] 14744 ab:abab=a,aabbb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14744 ab:abab=a,aabbb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14745 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:218,nodes:14,pairs:12,completionMax:41us [09m33s] 14745 ab:abab=a,abaaa=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14745 ab:abab=a,abaaa=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14746 solved: rounds:4,rules:2,peak:10,longest:9,steps:13,word:5,work:2288,nodes:22,pairs:35,completionMax:143us [09m33s] 14746 ab:abab=a,abaaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14746 ab:abab=a,abaaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14747 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:308,nodes:14,pairs:13,completionMax:29us [09m33s] 14747 ab:abab=a,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14747 ab:abab=a,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14748 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:280,nodes:16,pairs:20,completionMax:75us [09m33s] 14748 ab:abab=a,abaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14748 ab:abab=a,abaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14749 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:8,pairs:5,completionMax:14us [09m33s] 14749 ab:abab=a,ababa=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14749 ab:abab=a,ababa=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14750 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:34,nodes:12,pairs:2,completionMax:9us [09m33s] 14750 ab:abab=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14750 ab:abab=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14751 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:8,pairs:2,completionMax:5us [09m33s] 14751 ab:abab=a,ababb=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14751 ab:abab=a,ababb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14752 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:1,work:35,nodes:8,pairs:3,completionMax:14us [09m33s] 14752 ab:abab=a,ababb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14752 ab:abab=a,ababb=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14753 solved: rounds:2,rules:3,peak:7,longest:5,steps:5,word:0,work:443,nodes:16,pairs:10,completionMax:67us [09m33s] 14753 ab:abab=a,abbaa=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14753 ab:abab=a,abbaa=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14754 solved: rounds:2,rules:2,peak:9,longest:6,steps:8,word:3,work:882,nodes:26,pairs:23,completionMax:90us [09m33s] 14754 ab:abab=a,abbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14754 ab:abab=a,abbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14755 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:202,nodes:14,pairs:15,completionMax:42us [09m33s] 14755 ab:abab=a,abbab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14755 ab:abab=a,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14756 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:1,work:555,nodes:18,pairs:20,completionMax:82us [09m33s] 14756 ab:abab=a,abbab=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14756 ab:abab=a,abbab=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14757 solved: rounds:4,rules:2,peak:6,longest:5,steps:5,word:0,work:609,nodes:14,pairs:17,completionMax:47us [09m33s] 14757 ab:abab=a,abbba=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14757 ab:abab=a,abbba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14758 solved: rounds:2,rules:2,peak:12,longest:5,steps:7,word:2,work:1485,nodes:22,pairs:28,completionMax:132us [09m33s] 14758 ab:abab=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14758 ab:abab=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14759 solved: rounds:3,rules:3,peak:5,longest:5,steps:5,word:0,work:262,nodes:16,pairs:15,completionMax:28us [09m33s] 14759 ab:abab=a,abbbb=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [09m33s] from: 14759 ab:abab=a,abbbb=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [09m33s] # 14760 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:206,nodes:12,pairs:11,completionMax:27us [09m33s] 14760 ab:abab=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14760 ab:abab=a,abbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14761 solved: rounds:4,rules:3,peak:6,longest:7,steps:5,word:2,work:542,nodes:26,pairs:11,completionMax:62us [09m33s] 14761 ab:abab=a,baaaa=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 14761 ab:abab=a,baaaa=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=a,b=b [09m33s] # 14762 solved: rounds:6,rules:4,peak:8,longest:9,steps:6,word:10,work:1900,nodes:34,pairs:36,completionMax:149us [09m33s] 14762 ab:abab=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,abbbbbbbb=a,ba=bbbbbbb,aa=abbbbbb [09m33s] from: 14762 ab:abab=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb to: 14698 ab:aabb=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb a=a,b=b [09m33s] # 14763 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:749,nodes:22,pairs:23,completionMax:56us [09m33s] 14763 ab:abab=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 14763 ab:abab=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 14764 solved: rounds:3,rules:4,peak:5,longest:6,steps:4,word:1,work:341,nodes:22,pairs:14,completionMax:58us [09m33s] 14764 ab:abab=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14764 ab:abab=a,baaab=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14765 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:477,nodes:20,pairs:22,completionMax:58us [09m33s] 14765 ab:abab=a,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 14765 ab:abab=a,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 14766 solved: rounds:3,rules:4,peak:6,longest:6,steps:3,word:2,work:328,nodes:22,pairs:16,completionMax:54us [09m33s] 14766 ab:abab=a,baaba=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14766 ab:abab=a,baaba=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14767 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1391,nodes:24,pairs:46,completionMax:123us [09m33s] 14767 ab:abab=a,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14767 ab:abab=a,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14768 solved: rounds:4,rules:4,peak:5,longest:5,steps:3,word:0,work:199,nodes:22,pairs:9,completionMax:31us [09m33s] 14768 ab:abab=a,baabb=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14768 ab:abab=a,baabb=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14769 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:333,nodes:18,pairs:13,completionMax:44us [09m33s] 14769 ab:abab=a,babaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 14769 ab:abab=a,babaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 14770 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:2,work:248,nodes:30,pairs:11,completionMax:41us [09m33s] 14770 ab:abab=a,babaa=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14770 ab:abab=a,babaa=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14771 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:106,nodes:10,pairs:8,completionMax:18us [09m33s] 14771 ab:abab=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14771 ab:abab=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14772 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:59,nodes:10,pairs:4,completionMax:12us [09m33s] 14772 ab:abab=a,babab=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14772 ab:abab=a,babab=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14773 solved: rounds:3,rules:3,peak:5,longest:5,steps:6,word:0,work:367,nodes:20,pairs:20,completionMax:54us [09m33s] 14773 ab:abab=a,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14773 ab:abab=a,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14774 solved: rounds:2,rules:4,peak:9,longest:5,steps:3,word:0,work:546,nodes:26,pairs:27,completionMax:79us [09m33s] 14774 ab:abab=a,babba=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14774 ab:abab=a,babba=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14775 solved: rounds:3,rules:3,peak:5,longest:5,steps:5,word:0,work:474,nodes:18,pairs:16,completionMax:54us [09m33s] 14775 ab:abab=a,babbb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [09m33s] from: 14775 ab:abab=a,babbb=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [09m33s] # 14776 solved: rounds:3,rules:4,peak:6,longest:5,steps:3,word:0,work:206,nodes:18,pairs:14,completionMax:39us [09m33s] 14776 ab:abab=a,babbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14776 ab:abab=a,babbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14777 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:0,work:634,nodes:22,pairs:15,completionMax:67us [09m33s] 14777 ab:abab=a,bbaaa=a infinite ab - - ab:aa=a,aba=ab,abb=a,bba=a [09m33s] from: 14777 ab:abab=a,bbaaa=a infinite to: 5266 ab:aba=ab,bbaa=a infinite a=a,b=b [09m33s] # 14778 solved: rounds:3,rules:4,peak:7,longest:6,steps:2,word:2,work:371,nodes:22,pairs:24,completionMax:56us [09m33s] 14778 ab:abab=a,bbaaa=b finite:11;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 14778 ab:abab=a,bbaaa=b finite:11;idempotents:1,baaa,aaaaa to: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 14779 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:995,nodes:22,pairs:21,completionMax:81us [09m33s] 14779 ab:abab=a,bbaab=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 14779 ab:abab=a,bbaab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 14780 solved: rounds:2,rules:4,peak:7,longest:5,steps:3,word:0,work:463,nodes:22,pairs:16,completionMax:43us [09m33s] 14780 ab:abab=a,bbaab=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14780 ab:abab=a,bbaab=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14781 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:490,nodes:20,pairs:13,completionMax:53us [09m33s] 14781 ab:abab=a,bbaba=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 14781 ab:abab=a,bbaba=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 14782 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:0,work:223,nodes:16,pairs:14,completionMax:28us [09m33s] 14782 ab:abab=a,bbaba=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14782 ab:abab=a,bbaba=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14783 solved: rounds:3,rules:4,peak:8,longest:5,steps:6,word:0,work:872,nodes:24,pairs:18,completionMax:82us [09m33s] 14783 ab:abab=a,bbabb=a infinite ab - - ab:aaa=a,aba=aab,abb=aa,bba=aa [09m33s] from: 14783 ab:abab=a,bbabb=a infinite to: 5211 ab:aab=bb,baba=b infinite a=b,b=a [09m33s] # 14784 solved: rounds:3,rules:4,peak:4,longest:5,steps:3,word:0,work:174,nodes:16,pairs:14,completionMax:21us [09m33s] 14784 ab:abab=a,bbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14784 ab:abab=a,bbabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14785 solved: rounds:4,rules:3,peak:10,longest:5,steps:5,word:0,work:1695,nodes:24,pairs:21,completionMax:116us [09m33s] 14785 ab:abab=a,bbbaa=a infinite ab - - ab:aa=a,ab=a,bbba=a [09m33s] from: 14785 ab:abab=a,bbbaa=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [09m33s] # 14786 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:0,work:1079,nodes:32,pairs:37,completionMax:140us [09m33s] 14786 ab:abab=a,bbbaa=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ba=b,abb=a,bbb=b [09m33s] from: 14786 ab:abab=a,bbbaa=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb a=a,b=b [09m33s] # 14787 solved: rounds:3,rules:3,peak:11,longest:13,steps:6,word:16,work:3437,nodes:34,pairs:48,completionMax:209us [09m33s] 14787 ab:abab=a,bbbab=a infinite reversed:b/a - - ab:bbbbbbbbbbbba=a,ab=bbbbbbbbba,aa=bbbbbba [09m33s] from: 14787 ab:abab=a,bbbab=a infinite to: 14723 ab:aabb=a,bbbab=a infinite a=a,b=b [09m33s] # 14788 solved: rounds:2,rules:4,peak:11,longest:5,steps:5,word:0,work:855,nodes:20,pairs:21,completionMax:117us [09m33s] 14788 ab:abab=a,bbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14788 ab:abab=a,bbbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14789 solved: rounds:5,rules:4,peak:7,longest:5,steps:5,word:0,work:719,nodes:24,pairs:19,completionMax:68us [09m33s] 14789 ab:abab=a,bbbba=a infinite ab - - ab:aaa=a,aba=aab,abb=aa,bbbba=a [09m33s] # 14790 solved: rounds:3,rules:4,peak:10,longest:5,steps:4,word:0,work:820,nodes:22,pairs:27,completionMax:68us [09m33s] 14790 ab:abab=a,bbbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [09m33s] from: 14790 ab:abab=a,bbbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14791 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:8,work:157,nodes:24,pairs:2,completionMax:16us [09m33s] 14791 ab:abab=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] from: 14791 ab:abab=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=bbbbb,b=b [09m33s] # 14792 solved: rounds:4,rules:4,peak:6,longest:5,steps:4,word:0,work:283,nodes:22,pairs:12,completionMax:47us [09m33s] 14792 ab:abab=a,bbbbb=b finite:25;idempotents:1,aa,bab,bba,bbbb,bbbaab,bbbbaa ab - - ab:aaa=a,aba=aab,abb=aa,bbbbb=b [09m33s] # 14793 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:5us [09m33s] 14793 ab:abba=a,aaaaa=a infinite ab - - ab:abba=a,aaaaa=a [09m33s] # 14794 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:4,work:53,nodes:24,pairs:2,completionMax:16us [09m33s] 14794 ab:abba=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaaaa [09m33s] from: 14794 ab:abba=a,aaaaa=b finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b9;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbbbbb,b=b [09m33s] # 14795 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:2,work:391,nodes:18,pairs:8,completionMax:57us [09m33s] 14795 ab:abba=a,aaaab=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 14795 ab:abba=a,aaaab=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 14796 solved: rounds:5,rules:4,peak:8,longest:9,steps:2,word:5,work:878,nodes:26,pairs:25,completionMax:120us [09m33s] 14796 ab:abba=a,aaaab=b finite:17;idempotents:1,bba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,bbbbbbbba=a,aa=bbbbbba [09m33s] # 14797 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:3us [09m33s] 14797 ab:abba=a,aaaba=a infinite ab - - ab:abba=a,aaaba=a [09m33s] # 14798 solved: rounds:2,rules:2,peak:11,longest:11,steps:14,word:5,work:1761,nodes:40,pairs:14,completionMax:123us [09m33s] 14798 ab:abba=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14798 ab:abba=a,aaaba=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14799 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:168,nodes:14,pairs:4,completionMax:25us [09m33s] 14799 ab:abba=a,aaabb=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 14799 ab:abba=a,aaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 14800 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:2,work:205,nodes:20,pairs:10,completionMax:39us [09m33s] 14800 ab:abba=a,aaabb=b finite:11;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,aaaaab=b,bb=aab [09m33s] # 14801 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:180,nodes:16,pairs:2,completionMax:21us [09m33s] 14801 ab:abba=a,aabaa=a infinite ab - - ab:abaa=aaba,abba=a,aaaba=a [09m33s] # 14802 solved: rounds:4,rules:2,peak:9,longest:9,steps:7,word:5,work:896,nodes:28,pairs:33,completionMax:106us [09m33s] 14802 ab:abba=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbbbb [09m33s] from: 14802 ab:abba=a,aabaa=b finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbbbb,b=b [09m33s] # 14803 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:357,nodes:14,pairs:12,completionMax:45us [09m33s] 14803 ab:abba=a,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14803 ab:abba=a,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14804 solved: rounds:4,rules:4,peak:8,longest:6,steps:3,word:2,work:916,nodes:30,pairs:39,completionMax:108us [09m33s] 14804 ab:abba=a,aabab=b finite:11;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,aaaaab=b,bb=aab [09m33s] from: 14804 ab:abba=a,aabab=b finite:11;idempotents:1,aaab,aaaaa to: 14800 ab:abba=a,aaabb=b finite:11;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 14805 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:3us [09m33s] 14805 ab:abba=a,aabba=a infinite ab - - ab:aa=a,abba=a [09m33s] from: 14805 ab:abba=a,aabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [09m33s] # 14806 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:37,nodes:12,pairs:2,completionMax:8us [09m33s] 14806 ab:abba=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14806 ab:abba=a,aabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14807 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [09m33s] 14807 ab:abba=a,aabbb=a infinite ab - - ab:abba=a,aabbb=a [09m33s] # 14808 solved: rounds:4,rules:4,peak:4,longest:5,steps:1,word:0,work:66,nodes:14,pairs:6,completionMax:23us [09m33s] 14808 ab:abba=a,aabbb=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ab=b,bba=a,bbb=b [09m33s] from: 14808 ab:abba=a,aabbb=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb anti:a=a,b=b [09m33s] # 14809 solved: rounds:3,rules:3,peak:7,longest:5,steps:2,word:0,work:496,nodes:16,pairs:20,completionMax:42us [09m33s] 14809 ab:abba=a,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 14809 ab:abba=a,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 14810 solved: rounds:4,rules:4,peak:9,longest:6,steps:5,word:2,work:1573,nodes:22,pairs:34,completionMax:96us [09m33s] 14810 ab:abba=a,abaab=b finite:11;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,aaaaab=b,bb=aab [09m33s] from: 14810 ab:abba=a,abaab=b finite:11;idempotents:1,aaab,aaaaa to: 14800 ab:abba=a,aaabb=b finite:11;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 14811 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:12,pairs:0,completionMax:5us [09m33s] 14811 ab:abba=a,ababa=a infinite ab - - ab:abba=a,ababa=a [09m33s] # 14812 solved: rounds:3,rules:2,peak:6,longest:7,steps:17,word:4,work:717,nodes:26,pairs:13,completionMax:81us [09m33s] 14812 ab:abba=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a/b - - ab:aaaaaa=a,b=aa [09m33s] from: 14812 ab:abba=a,ababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbb,b=b [09m33s] # 14813 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:67,nodes:12,pairs:3,completionMax:17us [09m33s] 14813 ab:abba=a,ababb=a infinite ab - - ab:aba=aa,aabb=a,abba=a [09m33s] # 14814 solved: rounds:3,rules:4,peak:6,longest:5,steps:2,word:0,work:231,nodes:12,pairs:11,completionMax:51us [09m33s] 14814 ab:abba=a,ababb=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ab=b,bba=a,bbb=b [09m33s] from: 14814 ab:abba=a,ababb=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb anti:a=a,b=b [09m33s] # 14815 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:8us [09m33s] 14815 ab:abba=a,abbab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 14815 ab:abba=a,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 14816 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:50,nodes:8,pairs:3,completionMax:13us [09m33s] 14816 ab:abba=a,abbab=b finite:5;idempotents:1,a,bb ab - - ab:aa=a,ab=b,bba=a,bbb=b [09m33s] from: 14816 ab:abba=a,abbab=b finite:5;idempotents:1,a,bb to: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb anti:a=a,b=b [09m33s] # 14817 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:36,nodes:10,pairs:0,completionMax:3us [09m33s] 14817 ab:abba=a,abbba=a infinite ab - - ab:abba=a,abbba=a [09m33s] # 14818 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:232,nodes:16,pairs:16,completionMax:42us [09m33s] 14818 ab:abba=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 b/a - - ab:bbb=b,a=bb [09m33s] from: 14818 ab:abba=a,abbba=b finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b,a=b2;saturation:a:a2=1;noncancellative:bb,1,b,b;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=aa,b=a [09m33s] # 14819 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:3us [09m33s] 14819 ab:abba=a,abbbb=a infinite ab - - ab:abba=a,abbbb=a [09m33s] # 14820 solved: rounds:4,rules:4,peak:4,longest:5,steps:1,word:0,work:67,nodes:10,pairs:6,completionMax:19us [09m33s] 14820 ab:abba=a,abbbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [09m33s] from: 14820 ab:abba=a,abbbb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [09m33s] # 14821 solved: rounds:4,rules:3,peak:9,longest:5,steps:4,word:0,work:1322,nodes:24,pairs:40,completionMax:126us [09m33s] 14821 ab:abba=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 14821 ab:abba=a,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 14822 solved: rounds:3,rules:7,peak:8,longest:9,steps:3,word:7,work:620,nodes:32,pairs:11,completionMax:85us [09m33s] 14822 ab:abba=a,baaab=b infinite a/b - - ab:abaaa=a,aaba=abaa,bba=baaa,baaab=b,baaaaab=bb,abb=aaab,bbb=baaaaaaab [09m33s] from: 14822 ab:abba=a,baaab=b infinite to: 14584 ab:aaba=a,babbb=b infinite a=b,b=a [09m33s] # 14823 solved: rounds:4,rules:3,peak:6,longest:5,steps:2,word:0,work:321,nodes:20,pairs:16,completionMax:54us [09m33s] 14823 ab:abba=a,baabb=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 14823 ab:abba=a,baabb=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 14824 solved: rounds:2,rules:3,peak:5,longest:5,steps:2,word:0,work:138,nodes:20,pairs:7,completionMax:20us [09m33s] 14824 ab:abba=a,baabb=b infinite ab - - ab:aa=a,abba=a,babb=b [09m33s] # 14825 solved: rounds:3,rules:3,peak:10,longest:5,steps:9,word:0,work:1368,nodes:22,pairs:32,completionMax:79us [09m33s] 14825 ab:abba=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 14825 ab:abba=a,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 14826 solved: rounds:3,rules:3,peak:8,longest:5,steps:2,word:0,work:614,nodes:22,pairs:27,completionMax:56us [09m33s] 14826 ab:abba=a,babab=b infinite ab - - ab:bab=bb,bbb=b,abba=a [09m33s] # 14827 solved: rounds:3,rules:3,peak:6,longest:13,steps:9,word:8,work:1329,nodes:36,pairs:13,completionMax:66us [09m33s] 14827 ab:abba=a,babbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=abbbbbb [09m33s] from: 14827 ab:abba=a,babbb=a infinite to: 14723 ab:aabb=a,bbbab=a infinite anti:a=a,b=b [09m33s] # 14828 solved: rounds:4,rules:3,peak:4,longest:5,steps:2,word:0,work:112,nodes:16,pairs:5,completionMax:23us [09m33s] 14828 ab:abba=a,babbb=b infinite ab - - ab:bb=b,aba=a,bab=b [09m33s] from: 14828 ab:abba=a,babbb=b infinite to: 2101 ab:aba=a,babb=b infinite a=a,b=b [09m33s] # 14829 solved: rounds:1,rules:3,peak:5,longest:5,steps:3,word:1,work:188,nodes:18,pairs:4,completionMax:20us [09m33s] 14829 ab:abba=a,bbabb=a infinite b/a - - ab:abbbb=a,bba=abb,aa=abb [09m33s] from: 14829 ab:abba=a,bbabb=a infinite to: 5215 ab:aab=bb,bbaa=b infinite a=b,b=a [09m33s] # 14830 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:179,nodes:16,pairs:15,completionMax:35us [09m33s] 14830 ab:abba=a,bbabb=b infinite ab - - ab:bb=b,aba=a,bab=b [09m33s] from: 14830 ab:abba=a,bbabb=b infinite to: 2101 ab:aba=a,babb=b infinite a=a,b=b [09m33s] # 14831 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:8,work:161,nodes:24,pairs:2,completionMax:18us [09m33s] 14831 ab:abba=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbb=bbbbb,a=bbbbb [09m33s] from: 14831 ab:abba=a,bbbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b5;saturation:a:a7=1;noncancellative:bbb,bbbbbbbbbb,bbbbbb,bbbbbbbbb;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=bbbbb,b=b [09m33s] # 14832 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:3us [09m33s] 14832 ab:abba=a,bbbbb=b infinite ab - - ab:abba=a,bbbbb=b [09m33s] # 14833 solved: rounds:7,rules:9,peak:15,longest:16,steps:16,word:8,work:13854,nodes:132,pairs:63,completionMax:669us [09m33s] 14833 ab:abba=b,aaaaa=a finite:101;idempotents:1,aaaa,bbbbbbbbbbbb;center:1,bbb,aaaa,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,abba=b,baa=ababb,bbaba=aab,aaab=bba,ababa=babbbbbbbbbb,aaaaa=a [09m33s] # 14834 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:12,work:190,nodes:24,pairs:3,completionMax:28us [09m33s] 14834 ab:abba=b,aaaaa=b finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaa=aaaaa,b=aaaaa [09m33s] from: 14834 ab:abba=b,aaaaa=b finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=b,b=bbbbb [09m33s] # 14835 solved: rounds:3,rules:2,peak:10,longest:5,steps:3,word:0,work:949,nodes:24,pairs:51,completionMax:130us [09m33s] 14835 ab:abba=b,aaaab=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14835 ab:abba=b,aaaab=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14836 solved: rounds:7,rules:8,peak:16,longest:17,steps:16,word:13,work:20333,nodes:156,pairs:68,completionMax:834us [09m33s] 14836 ab:abba=b,aaaab=b infinite b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,abba=b,baa=ababb,bbaba=aab,aaab=bba,ababa=babbbbbbbbbb [09m33s] # 14837 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:0,work:1731,nodes:30,pairs:52,completionMax:180us [09m33s] 14837 ab:abba=b,aaaba=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14837 ab:abba=b,aaaba=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14838 solved: rounds:4,rules:3,peak:16,longest:6,steps:5,word:0,work:4169,nodes:48,pairs:98,completionMax:334us [09m33s] 14838 ab:abba=b,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [09m33s] from: 14838 ab:abba=b,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [09m33s] # 14839 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:422,nodes:18,pairs:16,completionMax:52us [09m33s] 14839 ab:abba=b,aaabb=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14839 ab:abba=b,aaabb=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14840 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:986,nodes:22,pairs:50,completionMax:99us [09m33s] 14840 ab:abba=b,aaabb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14840 ab:abba=b,aaabb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14841 solved: rounds:3,rules:2,peak:10,longest:5,steps:7,word:0,work:1084,nodes:28,pairs:77,completionMax:156us [09m33s] 14841 ab:abba=b,aabaa=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [09m33s] from: 14841 ab:abba=b,aabaa=a finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [09m33s] # 14842 solved: rounds:4,rules:3,peak:13,longest:11,steps:11,word:8,work:4829,nodes:48,pairs:31,completionMax:213us [09m33s] 14842 ab:abba=b,aabaa=b infinite b/a - - ab:bbbbbbb=b,ba=abbbbb,aab=bbbb [09m33s] from: 14842 ab:abba=b,aabaa=b infinite to: 5285 ab:aba=bb,abba=b infinite a=a,b=b [09m33s] # 14843 solved: rounds:3,rules:4,peak:12,longest:6,steps:5,word:2,work:1545,nodes:34,pairs:37,completionMax:164us [09m33s] 14843 ab:abba=b,aabab=a finite:7;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,abbb=a,ba=abb,aa=bbb [09m33s] # 14844 solved: rounds:3,rules:3,peak:10,longest:5,steps:5,word:0,work:1646,nodes:28,pairs:49,completionMax:154us [09m33s] 14844 ab:abba=b,aabab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14844 ab:abba=b,aabab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14845 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:1,work:42,nodes:8,pairs:3,completionMax:8us [09m33s] 14845 ab:abba=b,aabba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14845 ab:abba=b,aabba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14846 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:104,nodes:8,pairs:8,completionMax:20us [09m33s] 14846 ab:abba=b,aabba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14846 ab:abba=b,aabba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14847 solved: rounds:3,rules:2,peak:13,longest:13,steps:40,word:8,work:4805,nodes:46,pairs:48,completionMax:264us [09m33s] 14847 ab:abba=b,aabbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14847 ab:abba=b,aabbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14848 solved: rounds:3,rules:3,peak:6,longest:5,steps:5,word:0,work:485,nodes:26,pairs:18,completionMax:51us [09m33s] 14848 ab:abba=b,aabbb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 14848 ab:abba=b,aabbb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 14849 solved: rounds:3,rules:2,peak:16,longest:5,steps:5,word:2,work:2772,nodes:28,pairs:74,completionMax:203us [09m33s] 14849 ab:abba=b,abaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [09m33s] from: 14849 ab:abba=b,abaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [09m33s] # 14850 solved: rounds:4,rules:3,peak:9,longest:5,steps:6,word:0,work:1199,nodes:22,pairs:23,completionMax:78us [09m33s] 14850 ab:abba=b,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14850 ab:abba=b,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14851 solved: rounds:4,rules:4,peak:7,longest:5,steps:5,word:2,work:612,nodes:24,pairs:24,completionMax:91us [09m33s] 14851 ab:abba=b,ababa=a finite:7;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,abbb=a,ba=abb,aa=bbb [09m33s] from: 14851 ab:abba=b,ababa=a finite:7;idempotents:1,bbb;center:1,bbb to: 14843 ab:abba=b,aabab=a finite:7;idempotents:1,bbb;center:1,bbb a=a,b=b [09m33s] # 14852 solved: rounds:3,rules:3,peak:8,longest:5,steps:5,word:0,work:941,nodes:26,pairs:27,completionMax:92us [09m33s] 14852 ab:abba=b,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14852 ab:abba=b,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14853 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:4,work:414,nodes:22,pairs:21,completionMax:49us [09m33s] 14853 ab:abba=b,ababb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14853 ab:abba=b,ababb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14854 solved: rounds:4,rules:3,peak:5,longest:7,steps:6,word:3,work:502,nodes:30,pairs:15,completionMax:66us [09m33s] 14854 ab:abba=b,ababb=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [09m33s] from: 14854 ab:abba=b,ababb=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [09m33s] # 14855 solved: rounds:2,rules:2,peak:2,longest:6,steps:1,word:2,work:40,nodes:12,pairs:5,completionMax:18us [09m33s] 14855 ab:abba=b,abbab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14855 ab:abba=b,abbab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14856 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:51,nodes:10,pairs:2,completionMax:10us [09m33s] 14856 ab:abba=b,abbab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 14856 ab:abba=b,abbab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 14857 solved: rounds:4,rules:2,peak:7,longest:8,steps:13,word:6,work:1590,nodes:24,pairs:39,completionMax:138us [09m33s] 14857 ab:abba=b,abbba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14857 ab:abba=b,abbba=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14858 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:586,nodes:24,pairs:29,completionMax:48us [09m33s] 14858 ab:abba=b,abbba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 14858 ab:abba=b,abbba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 14859 solved: rounds:4,rules:2,peak:9,longest:9,steps:7,word:5,work:2591,nodes:26,pairs:70,completionMax:214us [09m33s] 14859 ab:abba=b,abbbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaaa,aaaaaaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaaaaa [09m33s] from: 14859 ab:abba=b,abbbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaaa,aaaaaaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bbbbbb [09m33s] # 14860 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:1,work:245,nodes:18,pairs:11,completionMax:39us [09m33s] 14860 ab:abba=b,abbbb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14860 ab:abba=b,abbbb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 14861 solved: rounds:5,rules:7,peak:18,longest:10,steps:8,word:10,work:11443,nodes:78,pairs:77,completionMax:700us [09m33s] 14861 ab:abba=b,baaab=a finite:49;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=a,baaaaaaaa=b,aaaab=baaaa,bb=aaabaaa,baab=aba,baaab=a,abab=babaaaaaaa [09m33s] # 14862 solved: rounds:4,rules:3,peak:9,longest:5,steps:5,word:0,work:1163,nodes:24,pairs:42,completionMax:96us [09m33s] 14862 ab:abba=b,baaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 14862 ab:abba=b,baaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 14863 solved: rounds:2,rules:2,peak:10,longest:6,steps:21,word:6,work:1376,nodes:22,pairs:21,completionMax:88us [09m33s] 14863 ab:abba=b,baabb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14863 ab:abba=b,baabb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14864 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:369,nodes:20,pairs:21,completionMax:72us [09m33s] 14864 ab:abba=b,baabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [09m33s] from: 14864 ab:abba=b,baabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [09m33s] # 14865 solved: rounds:3,rules:2,peak:14,longest:7,steps:13,word:7,work:5295,nodes:44,pairs:54,completionMax:320us [09m33s] 14865 ab:abba=b,babab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [09m33s] from: 14865 ab:abba=b,babab=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [09m33s] # 14866 solved: rounds:3,rules:3,peak:6,longest:5,steps:5,word:2,work:492,nodes:20,pairs:16,completionMax:53us [09m33s] 14866 ab:abba=b,babab=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [09m33s] from: 14866 ab:abba=b,babab=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [09m33s] # 14867 solved: rounds:4,rules:2,peak:9,longest:9,steps:12,word:5,work:2011,nodes:22,pairs:32,completionMax:147us [09m33s] 14867 ab:abba=b,babbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaaa,aaaaaaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aaaaaa [09m33s] from: 14867 ab:abba=b,babbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a6;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaaa,aaaaaaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bbbbbb [09m33s] # 14868 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:1,work:201,nodes:20,pairs:10,completionMax:37us [09m33s] 14868 ab:abba=b,babbb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14868 ab:abba=b,babbb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 14869 solved: rounds:3,rules:4,peak:7,longest:13,steps:17,word:8,work:1024,nodes:50,pairs:13,completionMax:86us [09m33s] 14869 ab:abba=b,bbabb=a finite:25;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,abbbbbbbbbbbb=a,ba=abbbbb,aa=bbb [09m33s] # 14870 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:1,work:116,nodes:16,pairs:10,completionMax:25us [09m33s] 14870 ab:abba=b,bbabb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbb,ba=bbb [09m33s] from: 14870 ab:abba=b,bbabb=b infinite;commutative:ab:b6=b,ab=b3;saturation:a:a5=1;noncancellative:bb,a,bbb,bbbbb;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=b,b=a [09m33s] # 14871 solved: rounds:7,rules:2,peak:5,longest:12,steps:9,word:8,work:939,nodes:24,pairs:20,completionMax:86us [09m33s] 14871 ab:abba=b,bbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaaaaaaaa [09m33s] from: 14871 ab:abba=b,bbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b5;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbb,b=b [09m33s] # 14872 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:1,work:592,nodes:22,pairs:5,completionMax:41us [09m33s] 14872 ab:abba=b,bbbbb=b infinite;commutative:ab:b5=b,a2b=b4;saturation:a:a8=1;noncancellative:bbb,aa,ab,abbbb;smith:8 b/a - - ab:bbbbb=b,ba=ab,aab=bbbb [09m33s] # 14873 solved: rounds:1,rules:1,peak:2,longest:3,steps:4,word:0,work:41,nodes:6,pairs:4,completionMax:9us [09m33s] 14873 ab:aaa=aa,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [09m33s] from: 14873 ab:aaa=aa,aaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [09m33s] # 14874 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:49,nodes:6,pairs:4,completionMax:13us [09m33s] 14874 ab:aaa=aa,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 14874 ab:aaa=aa,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 14875 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:67,nodes:8,pairs:7,completionMax:15us [09m33s] 14875 ab:aaa=aa,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 14875 ab:aaa=aa,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 14876 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:49,nodes:8,pairs:4,completionMax:16us [09m33s] 14876 ab:aaa=aa,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14876 ab:aaa=aa,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14877 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:94,nodes:10,pairs:10,completionMax:20us [09m33s] 14877 ab:aaa=aa,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 14877 ab:aaa=aa,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 14878 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:56,nodes:10,pairs:5,completionMax:10us [09m33s] 14878 ab:aaa=aa,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14878 ab:aaa=aa,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14879 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:72,nodes:10,pairs:7,completionMax:17us [09m33s] 14879 ab:aaa=aa,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14879 ab:aaa=aa,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14880 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:49,nodes:10,pairs:4,completionMax:15us [09m33s] 14880 ab:aaa=aa,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14880 ab:aaa=aa,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14881 solved: rounds:2,rules:2,peak:3,longest:6,steps:3,word:0,work:67,nodes:12,pairs:6,completionMax:15us [09m33s] 14881 ab:aaa=aa,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14881 ab:aaa=aa,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14882 solved: rounds:2,rules:2,peak:3,longest:6,steps:3,word:0,work:89,nodes:12,pairs:8,completionMax:16us [09m33s] 14882 ab:aaa=aa,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14882 ab:aaa=aa,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14883 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:57,nodes:12,pairs:5,completionMax:12us [09m33s] 14883 ab:aaa=aa,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14883 ab:aaa=aa,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14884 solved: rounds:2,rules:2,peak:3,longest:6,steps:3,word:0,work:109,nodes:12,pairs:10,completionMax:16us [09m33s] 14884 ab:aaa=aa,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14884 ab:aaa=aa,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14885 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:59,nodes:12,pairs:5,completionMax:12us [09m33s] 14885 ab:aaa=aa,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14885 ab:aaa=aa,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14886 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:77,nodes:12,pairs:7,completionMax:12us [09m33s] 14886 ab:aaa=aa,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14886 ab:aaa=aa,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14887 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:49,nodes:12,pairs:4,completionMax:12us [09m33s] 14887 ab:aaa=aa,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14887 ab:aaa=aa,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14888 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:143,nodes:12,pairs:8,completionMax:28us [09m33s] 14888 ab:aaa=aa,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14888 ab:aaa=aa,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14889 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:217,nodes:20,pairs:10,completionMax:25us [09m33s] 14889 ab:aaa=aa,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14889 ab:aaa=aa,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14890 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:59,nodes:14,pairs:3,completionMax:9us [09m33s] 14890 ab:aaa=aa,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14890 ab:aaa=aa,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14891 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:74,nodes:14,pairs:5,completionMax:12us [09m33s] 14891 ab:aaa=aa,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14891 ab:aaa=aa,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14892 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:177,nodes:22,pairs:10,completionMax:42us [09m33s] 14892 ab:aaa=aa,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14892 ab:aaa=aa,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14893 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:63,nodes:14,pairs:4,completionMax:14us [09m33s] 14893 ab:aaa=aa,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14893 ab:aaa=aa,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14894 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:340,nodes:20,pairs:19,completionMax:76us [09m33s] 14894 ab:aaa=aa,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14894 ab:aaa=aa,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14895 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:64,nodes:14,pairs:4,completionMax:19us [09m33s] 14895 ab:aaa=aa,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14895 ab:aaa=aa,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14896 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:132,nodes:20,pairs:5,completionMax:21us [09m33s] 14896 ab:aaa=aa,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14896 ab:aaa=aa,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14897 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:142,nodes:22,pairs:8,completionMax:21us [09m33s] 14897 ab:aaa=aa,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14897 ab:aaa=aa,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14898 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:56,nodes:14,pairs:3,completionMax:21us [09m33s] 14898 ab:aaa=aa,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 14898 ab:aaa=aa,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 14899 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:160,nodes:12,pairs:25,completionMax:46us [09m33s] 14899 ab:aaa=aa,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 14899 ab:aaa=aa,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 14900 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:379,nodes:20,pairs:16,completionMax:56us [09m33s] 14900 ab:aaa=aa,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14900 ab:aaa=aa,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14901 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:0,work:920,nodes:32,pairs:48,completionMax:108us [09m33s] 14901 ab:aaa=aa,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 14901 ab:aaa=aa,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 14902 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:657,nodes:28,pairs:23,completionMax:85us [09m33s] 14902 ab:aaa=aa,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14902 ab:aaa=aa,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14903 solved: rounds:5,rules:2,peak:7,longest:8,steps:6,word:0,work:1306,nodes:34,pairs:29,completionMax:95us [09m33s] 14903 ab:aaa=aa,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14903 ab:aaa=aa,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14904 solved: rounds:5,rules:2,peak:6,longest:7,steps:3,word:0,work:670,nodes:24,pairs:23,completionMax:80us [09m33s] 14904 ab:aaa=aa,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14904 ab:aaa=aa,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14905 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:0,work:419,nodes:22,pairs:10,completionMax:54us [09m33s] 14905 ab:aaa=aa,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 14905 ab:aaa=aa,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 14906 solved: rounds:3,rules:2,peak:7,longest:6,steps:5,word:0,work:625,nodes:28,pairs:32,completionMax:60us [09m33s] 14906 ab:aaa=aa,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 14906 ab:aaa=aa,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 14907 solved: rounds:5,rules:2,peak:8,longest:7,steps:6,word:0,work:1957,nodes:40,pairs:45,completionMax:150us [09m33s] 14907 ab:aaa=aa,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 14907 ab:aaa=aa,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 14908 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:18,nodes:16,pairs:0,completionMax:6us [09m33s] 14908 ab:aaa=aa,bbbbbb=1 infinite ab - - ab:aaa=aa,bbbbbb=1 [09m33s] # 14909 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:9us [09m33s] 14909 ab:aaa=ab,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 14909 ab:aaa=ab,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bb [09m33s] # 14910 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:1,work:13,nodes:14,pairs:1,completionMax:11us [09m33s] 14910 ab:aaa=ab,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14910 ab:aaa=ab,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14911 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:1,work:12,nodes:14,pairs:1,completionMax:10us [09m33s] 14911 ab:aaa=ab,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14911 ab:aaa=ab,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14912 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:20,nodes:16,pairs:1,completionMax:11us [09m33s] 14912 ab:aaa=ab,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14912 ab:aaa=ab,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14913 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:1,work:11,nodes:14,pairs:1,completionMax:9us [09m33s] 14913 ab:aaa=ab,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14913 ab:aaa=ab,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14914 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:19,nodes:16,pairs:1,completionMax:9us [09m33s] 14914 ab:aaa=ab,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14914 ab:aaa=ab,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14915 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:18,nodes:16,pairs:1,completionMax:13us [09m33s] 14915 ab:aaa=ab,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14915 ab:aaa=ab,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14916 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:27,nodes:18,pairs:1,completionMax:10us [09m33s] 14916 ab:aaa=ab,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14916 ab:aaa=ab,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14917 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:1,work:10,nodes:14,pairs:1,completionMax:5us [09m33s] 14917 ab:aaa=ab,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14917 ab:aaa=ab,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14918 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:18,nodes:16,pairs:1,completionMax:9us [09m33s] 14918 ab:aaa=ab,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14918 ab:aaa=ab,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14919 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:17,nodes:16,pairs:1,completionMax:10us [09m33s] 14919 ab:aaa=ab,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14919 ab:aaa=ab,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14920 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:26,nodes:18,pairs:1,completionMax:10us [09m33s] 14920 ab:aaa=ab,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14920 ab:aaa=ab,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14921 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:16,nodes:16,pairs:1,completionMax:8us [09m33s] 14921 ab:aaa=ab,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14921 ab:aaa=ab,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14922 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:25,nodes:18,pairs:1,completionMax:8us [09m33s] 14922 ab:aaa=ab,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14922 ab:aaa=ab,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14923 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:24,nodes:18,pairs:1,completionMax:9us [09m33s] 14923 ab:aaa=ab,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14923 ab:aaa=ab,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14924 solved: rounds:1,rules:2,peak:3,longest:10,steps:4,word:4,work:34,nodes:20,pairs:1,completionMax:10us [09m33s] 14924 ab:aaa=ab,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14924 ab:aaa=ab,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14925 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:1,work:9,nodes:14,pairs:1,completionMax:7us [09m33s] 14925 ab:aaa=ab,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14925 ab:aaa=ab,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14926 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:17,nodes:16,pairs:1,completionMax:6us [09m33s] 14926 ab:aaa=ab,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14926 ab:aaa=ab,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14927 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:16,nodes:16,pairs:1,completionMax:7us [09m33s] 14927 ab:aaa=ab,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14927 ab:aaa=ab,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14928 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:25,nodes:18,pairs:1,completionMax:10us [09m33s] 14928 ab:aaa=ab,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14928 ab:aaa=ab,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14929 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:15,nodes:16,pairs:1,completionMax:9us [09m33s] 14929 ab:aaa=ab,ababaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14929 ab:aaa=ab,ababaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14930 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:24,nodes:18,pairs:1,completionMax:10us [09m33s] 14930 ab:aaa=ab,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14930 ab:aaa=ab,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14931 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:23,nodes:18,pairs:1,completionMax:11us [09m33s] 14931 ab:aaa=ab,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14931 ab:aaa=ab,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14932 solved: rounds:1,rules:2,peak:3,longest:10,steps:4,word:4,work:33,nodes:20,pairs:1,completionMax:12us [09m33s] 14932 ab:aaa=ab,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14932 ab:aaa=ab,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14933 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:2,work:14,nodes:16,pairs:1,completionMax:7us [09m33s] 14933 ab:aaa=ab,abbaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14933 ab:aaa=ab,abbaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14934 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:23,nodes:18,pairs:1,completionMax:9us [09m33s] 14934 ab:aaa=ab,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14934 ab:aaa=ab,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14935 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:22,nodes:18,pairs:1,completionMax:11us [09m33s] 14935 ab:aaa=ab,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14935 ab:aaa=ab,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14936 solved: rounds:1,rules:2,peak:3,longest:10,steps:4,word:4,work:32,nodes:20,pairs:1,completionMax:10us [09m33s] 14936 ab:aaa=ab,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14936 ab:aaa=ab,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14937 solved: rounds:1,rules:2,peak:3,longest:9,steps:3,word:3,work:21,nodes:18,pairs:1,completionMax:9us [09m33s] 14937 ab:aaa=ab,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14937 ab:aaa=ab,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14938 solved: rounds:1,rules:2,peak:3,longest:10,steps:4,word:4,work:31,nodes:20,pairs:1,completionMax:8us [09m33s] 14938 ab:aaa=ab,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14938 ab:aaa=ab,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14939 solved: rounds:1,rules:2,peak:3,longest:10,steps:4,word:4,work:30,nodes:20,pairs:1,completionMax:10us [09m33s] 14939 ab:aaa=ab,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14939 ab:aaa=ab,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14940 solved: rounds:1,rules:2,peak:3,longest:11,steps:5,word:5,work:41,nodes:22,pairs:1,completionMax:11us [09m33s] 14940 ab:aaa=ab,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14940 ab:aaa=ab,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14941 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:1,work:65,nodes:26,pairs:3,completionMax:26us [09m33s] 14941 ab:aaa=ab,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 14941 ab:aaa=ab,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 14942 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:1,work:80,nodes:30,pairs:3,completionMax:31us [09m33s] 14942 ab:aaa=ab,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14942 ab:aaa=ab,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14943 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:1,work:79,nodes:30,pairs:3,completionMax:26us [09m33s] 14943 ab:aaa=ab,baaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14943 ab:aaa=ab,baaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14944 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:95,nodes:34,pairs:3,completionMax:34us [09m33s] 14944 ab:aaa=ab,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14944 ab:aaa=ab,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14945 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:1,work:78,nodes:30,pairs:3,completionMax:25us [09m33s] 14945 ab:aaa=ab,baabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14945 ab:aaa=ab,baabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14946 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:94,nodes:34,pairs:3,completionMax:30us [09m33s] 14946 ab:aaa=ab,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14946 ab:aaa=ab,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14947 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:93,nodes:34,pairs:3,completionMax:29us [09m33s] 14947 ab:aaa=ab,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14947 ab:aaa=ab,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14948 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:110,nodes:38,pairs:3,completionMax:31us [09m33s] 14948 ab:aaa=ab,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14948 ab:aaa=ab,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14949 solved: rounds:2,rules:2,peak:4,longest:9,steps:1,word:1,work:77,nodes:30,pairs:3,completionMax:34us [09m33s] 14949 ab:aaa=ab,babaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14949 ab:aaa=ab,babaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14950 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:93,nodes:34,pairs:3,completionMax:37us [09m33s] 14950 ab:aaa=ab,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14950 ab:aaa=ab,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14951 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:92,nodes:34,pairs:3,completionMax:32us [09m33s] 14951 ab:aaa=ab,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14951 ab:aaa=ab,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14952 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:109,nodes:38,pairs:3,completionMax:37us [09m33s] 14952 ab:aaa=ab,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14952 ab:aaa=ab,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14953 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:91,nodes:34,pairs:3,completionMax:27us [09m33s] 14953 ab:aaa=ab,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14953 ab:aaa=ab,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14954 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:108,nodes:38,pairs:3,completionMax:42us [09m33s] 14954 ab:aaa=ab,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14954 ab:aaa=ab,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14955 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:107,nodes:38,pairs:3,completionMax:40us [09m33s] 14955 ab:aaa=ab,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14955 ab:aaa=ab,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14956 solved: rounds:2,rules:2,peak:4,longest:12,steps:4,word:4,work:125,nodes:42,pairs:3,completionMax:41us [09m33s] 14956 ab:aaa=ab,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14956 ab:aaa=ab,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14957 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:99,nodes:28,pairs:4,completionMax:37us [09m33s] 14957 ab:aaa=ab,bbaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 14957 ab:aaa=ab,bbaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 14958 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:118,nodes:32,pairs:4,completionMax:36us [09m33s] 14958 ab:aaa=ab,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14958 ab:aaa=ab,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14959 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:117,nodes:32,pairs:4,completionMax:35us [09m33s] 14959 ab:aaa=ab,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14959 ab:aaa=ab,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14960 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:2,work:137,nodes:36,pairs:4,completionMax:37us [09m33s] 14960 ab:aaa=ab,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14960 ab:aaa=ab,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14961 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:116,nodes:32,pairs:4,completionMax:29us [09m33s] 14961 ab:aaa=ab,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14961 ab:aaa=ab,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14962 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:2,work:136,nodes:36,pairs:4,completionMax:48us [09m33s] 14962 ab:aaa=ab,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14962 ab:aaa=ab,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14963 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:2,work:135,nodes:36,pairs:4,completionMax:30us [09m33s] 14963 ab:aaa=ab,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14963 ab:aaa=ab,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14964 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:3,work:156,nodes:40,pairs:4,completionMax:40us [09m33s] 14964 ab:aaa=ab,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14964 ab:aaa=ab,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14965 solved: rounds:2,rules:2,peak:4,longest:10,steps:3,word:3,work:147,nodes:30,pairs:5,completionMax:40us [09m33s] 14965 ab:aaa=ab,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 14965 ab:aaa=ab,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 14966 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:172,nodes:34,pairs:5,completionMax:37us [09m33s] 14966 ab:aaa=ab,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14966 ab:aaa=ab,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14967 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:171,nodes:34,pairs:5,completionMax:40us [09m33s] 14967 ab:aaa=ab,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14967 ab:aaa=ab,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14968 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:3,work:197,nodes:38,pairs:5,completionMax:37us [09m33s] 14968 ab:aaa=ab,bbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14968 ab:aaa=ab,bbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14969 solved: rounds:2,rules:2,peak:4,longest:11,steps:4,word:4,work:209,nodes:32,pairs:6,completionMax:45us [09m33s] 14969 ab:aaa=ab,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 14969 ab:aaa=ab,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 14970 solved: rounds:2,rules:2,peak:4,longest:12,steps:4,word:4,work:242,nodes:36,pairs:6,completionMax:54us [09m33s] 14970 ab:aaa=ab,bbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14970 ab:aaa=ab,bbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14971 solved: rounds:2,rules:2,peak:4,longest:12,steps:5,word:5,work:285,nodes:34,pairs:7,completionMax:46us [09m33s] 14971 ab:aaa=ab,bbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 14971 ab:aaa=ab,bbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 14972 solved: rounds:1,rules:3,peak:3,longest:13,steps:5,word:5,work:81,nodes:36,pairs:1,completionMax:16us [09m33s] 14972 ab:aaa=ab,bbbbbb=1 finite:78;idempotents:1,bbbbbaa,bbbbaaaa,bbbaaaaaa,bbaaaaaaaa,baaaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=a,ab=aaa,bbbbbb=1 [09m33s] # 14973 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:59,nodes:12,pairs:2,completionMax:9us [09m33s] 14973 ab:aaa=bb,aaaaaa=1 infinite;group:a-aabb,b-bbb ab - - ab:aaa=bb,bba=abb,bbbb=1 [09m33s] from: 14973 ab:aaa=bb,aaaaaa=1 infinite;group:a-aabb,b-bbb to: 1475 ab:aaa=bb,bbbb=1 infinite;group:a-aabb,b-bbb a=a,b=b [09m33s] # 14974 solved: rounds:2,rules:2,peak:3,longest:13,steps:1,word:7,work:28,nodes:26,pairs:4,completionMax:21us [09m33s] 14974 ab:aaa=bb,aaaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 14974 ab:aaa=bb,aaaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 14975 solved: rounds:3,rules:2,peak:6,longest:13,steps:14,word:7,work:1578,nodes:36,pairs:14,completionMax:88us [09m33s] 14975 ab:aaa=bb,aaaaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 14975 ab:aaa=bb,aaaaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 14976 solved: rounds:5,rules:2,peak:5,longest:14,steps:7,word:9,work:559,nodes:28,pairs:19,completionMax:62us [09m33s] 14976 ab:aaa=bb,aaaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14976 ab:aaa=bb,aaaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14977 solved: rounds:3,rules:2,peak:6,longest:13,steps:4,word:7,work:710,nodes:34,pairs:14,completionMax:70us [09m33s] 14977 ab:aaa=bb,aaabaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaa [09m33s] from: 14977 ab:aaa=bb,aaabaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b5;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbb,b=b [09m33s] # 14978 solved: rounds:5,rules:2,peak:5,longest:14,steps:7,word:9,work:492,nodes:28,pairs:16,completionMax:63us [09m33s] 14978 ab:aaa=bb,aaabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14978 ab:aaa=bb,aaabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14979 solved: rounds:2,rules:2,peak:4,longest:14,steps:4,word:9,work:178,nodes:30,pairs:8,completionMax:38us [09m33s] 14979 ab:aaa=bb,aaabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14979 ab:aaa=bb,aaabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14980 solved: rounds:2,rules:2,peak:3,longest:15,steps:1,word:8,work:36,nodes:30,pairs:4,completionMax:22us [09m33s] 14980 ab:aaa=bb,aaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14980 ab:aaa=bb,aaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14981 solved: rounds:3,rules:3,peak:6,longest:22,steps:28,word:15,work:2108,nodes:56,pairs:13,completionMax:184us [09m33s] 14981 ab:aaa=bb,aabaab=1 finite:42;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaa,bb=aaa [09m33s] # 14982 solved: rounds:4,rules:2,peak:9,longest:14,steps:10,word:9,work:2029,nodes:36,pairs:31,completionMax:119us [09m33s] 14982 ab:aaa=bb,aababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14982 ab:aaa=bb,aababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14983 solved: rounds:2,rules:2,peak:8,longest:15,steps:7,word:16,work:1629,nodes:46,pairs:18,completionMax:137us [09m33s] 14983 ab:aaa=bb,aababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14983 ab:aaa=bb,aababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14984 solved: rounds:2,rules:2,peak:6,longest:14,steps:14,word:18,work:1897,nodes:48,pairs:26,completionMax:118us [09m33s] 14984 ab:aaa=bb,aabbaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14984 ab:aaa=bb,aabbaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14985 solved: rounds:2,rules:2,peak:3,longest:15,steps:1,word:8,work:35,nodes:30,pairs:4,completionMax:23us [09m33s] 14985 ab:aaa=bb,aabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14985 ab:aaa=bb,aabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14986 solved: rounds:3,rules:2,peak:7,longest:15,steps:4,word:8,work:1315,nodes:42,pairs:32,completionMax:129us [09m33s] 14986 ab:aaa=bb,aabbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14986 ab:aaa=bb,aabbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14987 solved: rounds:2,rules:2,peak:3,longest:16,steps:2,word:10,work:149,nodes:32,pairs:9,completionMax:32us [09m33s] 14987 ab:aaa=bb,aabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 14987 ab:aaa=bb,aabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 14988 solved: rounds:3,rules:2,peak:4,longest:14,steps:5,word:9,work:215,nodes:28,pairs:8,completionMax:37us [09m33s] 14988 ab:aaa=bb,abaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14988 ab:aaa=bb,abaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 14989 solved: rounds:2,rules:3,peak:5,longest:21,steps:10,word:15,work:1266,nodes:50,pairs:9,completionMax:68us [09m33s] 14989 ab:aaa=bb,abaaba=1 finite:42;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaa,bb=aaa [09m33s] from: 14989 ab:aaa=bb,abaaba=1 finite:42;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaa to: 14981 ab:aaa=bb,aabaab=1 finite:42;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaa a=a,b=b [09m33s] # 14990 solved: rounds:2,rules:2,peak:7,longest:15,steps:6,word:16,work:1161,nodes:46,pairs:11,completionMax:70us [09m33s] 14990 ab:aaa=bb,abaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14990 ab:aaa=bb,abaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14991 solved: rounds:4,rules:5,peak:9,longest:24,steps:26,word:15,work:13057,nodes:138,pairs:21,completionMax:421us [09m33s] 14991 ab:aaa=bb,ababab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aabbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,baa=ababbbbb,baba=aabbbbbbbbbbbbbbbbb,aaa=bb [09m33s] # 14992 solved: rounds:2,rules:2,peak:7,longest:15,steps:6,word:16,work:1160,nodes:46,pairs:11,completionMax:67us [09m33s] 14992 ab:aaa=bb,ababba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14992 ab:aaa=bb,ababba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14993 solved: rounds:3,rules:3,peak:7,longest:24,steps:18,word:24,work:3433,nodes:66,pairs:19,completionMax:177us [09m33s] 14993 ab:aaa=bb,ababbb=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaa,bb=aaa [09m33s] # 14994 solved: rounds:2,rules:2,peak:3,longest:15,steps:1,word:8,work:34,nodes:30,pairs:4,completionMax:25us [09m33s] 14994 ab:aaa=bb,abbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 14994 ab:aaa=bb,abbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 14995 solved: rounds:2,rules:2,peak:4,longest:16,steps:6,word:5,work:480,nodes:34,pairs:9,completionMax:44us [09m33s] 14995 ab:aaa=bb,abbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 14995 ab:aaa=bb,abbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 14996 solved: rounds:3,rules:3,peak:6,longest:24,steps:18,word:24,work:3158,nodes:66,pairs:16,completionMax:142us [09m33s] 14996 ab:aaa=bb,abbbab=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaa,bb=aaa [09m33s] from: 14996 ab:aaa=bb,abbbab=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa to: 14993 ab:aaa=bb,ababbb=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa a=a,b=b [09m33s] # 14997 solved: rounds:2,rules:2,peak:4,longest:16,steps:5,word:5,work:315,nodes:34,pairs:11,completionMax:36us [09m33s] 14997 ab:aaa=bb,abbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 14997 ab:aaa=bb,abbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 14998 solved: rounds:2,rules:2,peak:3,longest:17,steps:2,word:9,work:43,nodes:34,pairs:4,completionMax:21us [09m33s] 14998 ab:aaa=bb,abbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 14998 ab:aaa=bb,abbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbbb,b=b [09m33s] # 14999 solved: rounds:5,rules:2,peak:5,longest:14,steps:7,word:9,work:493,nodes:28,pairs:16,completionMax:70us [09m33s] 14999 ab:aaa=bb,baaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbbbb [09m33s] from: 14999 ab:aaa=bb,baaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b10;saturation:a:a14=1;cancellative;smith:14;group:a-bbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbb,b=b [09m33s] # 15000 solved: rounds:2,rules:2,peak:3,longest:15,steps:1,word:8,work:52,nodes:30,pairs:5,completionMax:17us [09m33s] 15000 ab:aaa=bb,baaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 15000 ab:aaa=bb,baaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 15001 solved: rounds:4,rules:2,peak:9,longest:15,steps:13,word:16,work:6661,nodes:54,pairs:48,completionMax:253us [09m33s] 15001 ab:aaa=bb,baabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaa [09m33s] from: 15001 ab:aaa=bb,baabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a9;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaa [09m33s] # 15002 solved: rounds:3,rules:2,peak:11,longest:22,steps:13,word:15,work:3957,nodes:88,pairs:25,completionMax:297us [09m33s] 15002 ab:aaa=bb,baabbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 15002 ab:aaa=bb,baabbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 15003 solved: rounds:3,rules:3,peak:7,longest:24,steps:40,word:17,work:2829,nodes:50,pairs:25,completionMax:130us [09m33s] 15003 ab:aaa=bb,bababb=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaa,bb=aaa [09m33s] from: 15003 ab:aaa=bb,bababb=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa to: 14993 ab:aaa=bb,ababbb=1 finite:48;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaa a=a,b=b [09m33s] # 15004 solved: rounds:3,rules:2,peak:8,longest:16,steps:15,word:10,work:4263,nodes:64,pairs:36,completionMax:214us [09m33s] 15004 ab:aaa=bb,babbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 15004 ab:aaa=bb,babbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 15005 solved: rounds:2,rules:2,peak:3,longest:17,steps:2,word:9,work:62,nodes:34,pairs:5,completionMax:19us [09m33s] 15005 ab:aaa=bb,babbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 15005 ab:aaa=bb,babbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbbb,b=b [09m33s] # 15006 solved: rounds:2,rules:2,peak:5,longest:16,steps:14,word:15,work:1180,nodes:42,pairs:14,completionMax:54us [09m33s] 15006 ab:aaa=bb,bbaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 15006 ab:aaa=bb,bbaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b6;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaa,b=a [09m33s] # 15007 solved: rounds:2,rules:2,peak:3,longest:17,steps:2,word:9,work:42,nodes:34,pairs:4,completionMax:28us [09m33s] 15007 ab:aaa=bb,bbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 15007 ab:aaa=bb,bbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b12;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbbb,b=b [09m33s] # 15008 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:66,nodes:16,pairs:2,completionMax:8us [09m33s] 15008 ab:aaa=bb,bbbbbb=1 infinite;group:a-aabbbb,b-bbbbb ab - - ab:aaa=bb,bba=abb,bbbbbb=1 [09m33s] # 15009 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:14,nodes:12,pairs:2,completionMax:8us [09m33s] 15009 ab:aab=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [09m33s] from: 15009 ab:aab=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [09m33s] # 15010 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:10,pairs:2,completionMax:5us [09m33s] 15010 ab:aab=aa,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15010 ab:aab=aa,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15011 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:5us [09m33s] 15011 ab:aab=aa,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15011 ab:aab=aa,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15012 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:20,nodes:8,pairs:2,completionMax:7us [09m33s] 15012 ab:aab=aa,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15012 ab:aab=aa,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15013 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:16,nodes:10,pairs:2,completionMax:9us [09m33s] 15013 ab:aab=aa,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15013 ab:aab=aa,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15014 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:19,nodes:8,pairs:2,completionMax:4us [09m33s] 15014 ab:aab=aa,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15014 ab:aab=aa,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15015 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:8,pairs:2,completionMax:8us [09m33s] 15015 ab:aab=aa,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15015 ab:aab=aa,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15016 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:20,nodes:6,pairs:2,completionMax:5us [09m33s] 15016 ab:aab=aa,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15016 ab:aab=aa,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15017 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:15,nodes:10,pairs:2,completionMax:6us [09m33s] 15017 ab:aab=aa,aabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15017 ab:aab=aa,aabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15018 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:8,pairs:2,completionMax:11us [09m33s] 15018 ab:aab=aa,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15018 ab:aab=aa,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15019 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:8,pairs:2,completionMax:5us [09m33s] 15019 ab:aab=aa,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15019 ab:aab=aa,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15020 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:19,nodes:6,pairs:2,completionMax:4us [09m33s] 15020 ab:aab=aa,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15020 ab:aab=aa,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15021 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:16,nodes:8,pairs:2,completionMax:4us [09m33s] 15021 ab:aab=aa,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15021 ab:aab=aa,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15022 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:18,nodes:6,pairs:2,completionMax:3us [09m33s] 15022 ab:aab=aa,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15022 ab:aab=aa,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15023 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:17,nodes:6,pairs:2,completionMax:3us [09m33s] 15023 ab:aab=aa,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15023 ab:aab=aa,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15024 solved: rounds:1,rules:2,peak:2,longest:3,steps:4,word:0,work:18,nodes:6,pairs:2,completionMax:3us [09m33s] 15024 ab:aab=aa,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15024 ab:aab=aa,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15025 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:94,nodes:20,pairs:7,completionMax:28us [09m33s] 15025 ab:aab=aa,abaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15025 ab:aab=aa,abaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15026 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:84,nodes:16,pairs:7,completionMax:19us [09m33s] 15026 ab:aab=aa,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15026 ab:aab=aa,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15027 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:83,nodes:16,pairs:7,completionMax:16us [09m33s] 15027 ab:aab=aa,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15027 ab:aab=aa,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15028 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:72,nodes:12,pairs:7,completionMax:24us [09m33s] 15028 ab:aab=aa,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15028 ab:aab=aa,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15029 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:101,nodes:18,pairs:8,completionMax:27us [09m33s] 15029 ab:aab=aa,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15029 ab:aab=aa,ababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15030 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:92,nodes:16,pairs:8,completionMax:26us [09m33s] 15030 ab:aab=aa,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15030 ab:aab=aa,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15031 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:195,nodes:20,pairs:8,completionMax:40us [09m33s] 15031 ab:aab=aa,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15031 ab:aab=aa,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15032 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:75,nodes:14,pairs:8,completionMax:21us [09m33s] 15032 ab:aab=aa,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15032 ab:aab=aa,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15033 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:100,nodes:18,pairs:8,completionMax:25us [09m33s] 15033 ab:aab=aa,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15033 ab:aab=aa,abbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15034 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:87,nodes:14,pairs:8,completionMax:19us [09m33s] 15034 ab:aab=aa,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15034 ab:aab=aa,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15035 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:180,nodes:22,pairs:8,completionMax:36us [09m33s] 15035 ab:aab=aa,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15035 ab:aab=aa,abbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15036 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:76,nodes:14,pairs:8,completionMax:22us [09m33s] 15036 ab:aab=aa,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15036 ab:aab=aa,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15037 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:104,nodes:16,pairs:9,completionMax:23us [09m33s] 15037 ab:aab=aa,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15037 ab:aab=aa,abbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15038 solved: rounds:2,rules:2,peak:7,longest:6,steps:7,word:0,work:216,nodes:20,pairs:8,completionMax:40us [09m33s] 15038 ab:aab=aa,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15038 ab:aab=aa,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15039 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:166,nodes:22,pairs:7,completionMax:23us [09m33s] 15039 ab:aab=aa,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15039 ab:aab=aa,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15040 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:66,nodes:14,pairs:4,completionMax:12us [09m33s] 15040 ab:aab=aa,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15040 ab:aab=aa,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15041 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:108,nodes:24,pairs:4,completionMax:22us [09m33s] 15041 ab:aab=aa,baaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15041 ab:aab=aa,baaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15042 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:97,nodes:20,pairs:4,completionMax:14us [09m33s] 15042 ab:aab=aa,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15042 ab:aab=aa,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15043 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:96,nodes:20,pairs:4,completionMax:14us [09m33s] 15043 ab:aab=aa,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15043 ab:aab=aa,baaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15044 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:84,nodes:16,pairs:4,completionMax:14us [09m33s] 15044 ab:aab=aa,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15044 ab:aab=aa,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15045 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:95,nodes:20,pairs:4,completionMax:22us [09m33s] 15045 ab:aab=aa,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15045 ab:aab=aa,baabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15046 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:83,nodes:16,pairs:4,completionMax:12us [09m33s] 15046 ab:aab=aa,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15046 ab:aab=aa,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15047 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:82,nodes:16,pairs:4,completionMax:11us [09m33s] 15047 ab:aab=aa,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15047 ab:aab=aa,baabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15048 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:65,nodes:12,pairs:4,completionMax:19us [09m33s] 15048 ab:aab=aa,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15048 ab:aab=aa,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15049 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:109,nodes:22,pairs:5,completionMax:20us [09m33s] 15049 ab:aab=aa,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15049 ab:aab=aa,babaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15050 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:95,nodes:18,pairs:5,completionMax:24us [09m33s] 15050 ab:aab=aa,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15050 ab:aab=aa,babaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15051 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:188,nodes:20,pairs:7,completionMax:37us [09m33s] 15051 ab:aab=aa,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15051 ab:aab=aa,bababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15052 solved: rounds:3,rules:2,peak:7,longest:6,steps:10,word:0,work:470,nodes:20,pairs:27,completionMax:74us [09m33s] 15052 ab:aab=aa,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15052 ab:aab=aa,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15053 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:109,nodes:20,pairs:6,completionMax:19us [09m33s] 15053 ab:aab=aa,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15053 ab:aab=aa,babbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15054 solved: rounds:3,rules:2,peak:11,longest:7,steps:5,word:0,work:1914,nodes:28,pairs:36,completionMax:181us [09m33s] 15054 ab:aab=aa,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15054 ab:aab=aa,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15055 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:218,nodes:22,pairs:9,completionMax:43us [09m33s] 15055 ab:aab=aa,babbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15055 ab:aab=aa,babbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15056 solved: rounds:3,rules:2,peak:7,longest:6,steps:13,word:0,work:465,nodes:18,pairs:25,completionMax:59us [09m33s] 15056 ab:aab=aa,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15056 ab:aab=aa,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15057 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:106,nodes:22,pairs:5,completionMax:19us [09m33s] 15057 ab:aab=aa,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15057 ab:aab=aa,bbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15058 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:93,nodes:18,pairs:5,completionMax:23us [09m33s] 15058 ab:aab=aa,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15058 ab:aab=aa,bbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15059 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:92,nodes:18,pairs:5,completionMax:19us [09m33s] 15059 ab:aab=aa,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15059 ab:aab=aa,bbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15060 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:14,pairs:5,completionMax:11us [09m33s] 15060 ab:aab=aa,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15060 ab:aab=aa,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15061 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:104,nodes:20,pairs:6,completionMax:13us [09m33s] 15061 ab:aab=aa,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15061 ab:aab=aa,bbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15062 solved: rounds:3,rules:2,peak:12,longest:8,steps:5,word:0,work:1555,nodes:28,pairs:33,completionMax:95us [09m33s] 15062 ab:aab=aa,bbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15062 ab:aab=aa,bbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15063 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:139,nodes:18,pairs:6,completionMax:21us [09m33s] 15063 ab:aab=aa,bbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15063 ab:aab=aa,bbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15064 solved: rounds:3,rules:2,peak:9,longest:6,steps:11,word:0,work:992,nodes:22,pairs:56,completionMax:79us [09m33s] 15064 ab:aab=aa,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15064 ab:aab=aa,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15065 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:102,nodes:20,pairs:6,completionMax:15us [09m33s] 15065 ab:aab=aa,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15065 ab:aab=aa,bbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15066 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:83,nodes:16,pairs:6,completionMax:13us [09m33s] 15066 ab:aab=aa,bbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15066 ab:aab=aa,bbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15067 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:134,nodes:18,pairs:6,completionMax:22us [09m33s] 15067 ab:aab=aa,bbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15067 ab:aab=aa,bbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15068 solved: rounds:3,rules:2,peak:11,longest:7,steps:10,word:0,work:3185,nodes:34,pairs:63,completionMax:146us [09m33s] 15068 ab:aab=aa,bbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15068 ab:aab=aa,bbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15069 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:92,nodes:18,pairs:7,completionMax:25us [09m33s] 15069 ab:aab=aa,bbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15069 ab:aab=aa,bbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15070 solved: rounds:4,rules:2,peak:18,longest:8,steps:9,word:0,work:11428,nodes:40,pairs:87,completionMax:498us [09m33s] 15070 ab:aab=aa,bbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15070 ab:aab=aa,bbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15071 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:140,nodes:16,pairs:10,completionMax:26us [09m33s] 15071 ab:aab=aa,bbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15071 ab:aab=aa,bbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15072 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:15,nodes:16,pairs:0,completionMax:5us [09m33s] 15072 ab:aab=aa,bbbbbb=1 infinite ab - - ab:aab=aa,bbbbbb=1 [09m33s] # 15073 solved: rounds:1,rules:2,peak:3,longest:6,steps:4,word:0,work:42,nodes:12,pairs:2,completionMax:10us [09m33s] 15073 ab:aab=ab,aaaaaa=1 infinite ab - - ab:ab=b,aaaaaa=1 [09m33s] # 15074 solved: rounds:2,rules:2,peak:2,longest:3,steps:4,word:0,work:20,nodes:6,pairs:2,completionMax:4us [09m33s] 15074 ab:aab=ab,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15074 ab:aab=ab,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15075 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:29,nodes:8,pairs:5,completionMax:10us [09m33s] 15075 ab:aab=ab,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15075 ab:aab=ab,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15076 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:18,nodes:8,pairs:2,completionMax:8us [09m33s] 15076 ab:aab=ab,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15076 ab:aab=ab,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15077 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:52,nodes:12,pairs:7,completionMax:16us [09m33s] 15077 ab:aab=ab,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15077 ab:aab=ab,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15078 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:19,nodes:10,pairs:3,completionMax:10us [09m33s] 15078 ab:aab=ab,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15078 ab:aab=ab,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15079 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:10,pairs:5,completionMax:11us [09m33s] 15079 ab:aab=ab,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15079 ab:aab=ab,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15080 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:14,nodes:10,pairs:2,completionMax:4us [09m33s] 15080 ab:aab=ab,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15080 ab:aab=ab,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15081 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:71,nodes:14,pairs:8,completionMax:11us [09m33s] 15081 ab:aab=ab,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15081 ab:aab=ab,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15082 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:20,nodes:10,pairs:3,completionMax:5us [09m33s] 15082 ab:aab=ab,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15082 ab:aab=ab,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15083 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:44,nodes:12,pairs:7,completionMax:8us [09m33s] 15083 ab:aab=ab,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15083 ab:aab=ab,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15084 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:17,nodes:12,pairs:3,completionMax:5us [09m33s] 15084 ab:aab=ab,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15084 ab:aab=ab,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15085 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:68,nodes:16,pairs:7,completionMax:11us [09m33s] 15085 ab:aab=ab,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15085 ab:aab=ab,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15086 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:4,completionMax:6us [09m33s] 15086 ab:aab=ab,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15086 ab:aab=ab,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15087 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:30,nodes:12,pairs:5,completionMax:6us [09m33s] 15087 ab:aab=ab,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15087 ab:aab=ab,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15088 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:11,nodes:12,pairs:2,completionMax:8us [09m33s] 15088 ab:aab=ab,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15088 ab:aab=ab,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15089 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:96,nodes:16,pairs:9,completionMax:24us [09m33s] 15089 ab:aab=ab,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15089 ab:aab=ab,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15090 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:23,nodes:10,pairs:3,completionMax:9us [09m33s] 15090 ab:aab=ab,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15090 ab:aab=ab,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15091 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:46,nodes:12,pairs:7,completionMax:13us [09m33s] 15091 ab:aab=ab,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15091 ab:aab=ab,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15092 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:19,nodes:12,pairs:3,completionMax:7us [09m33s] 15092 ab:aab=ab,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15092 ab:aab=ab,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15093 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:88,nodes:18,pairs:8,completionMax:18us [09m33s] 15093 ab:aab=ab,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15093 ab:aab=ab,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15094 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:27,nodes:14,pairs:4,completionMax:9us [09m33s] 15094 ab:aab=ab,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15094 ab:aab=ab,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15095 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:45,nodes:14,pairs:6,completionMax:15us [09m33s] 15095 ab:aab=ab,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15095 ab:aab=ab,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15096 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:16,nodes:14,pairs:3,completionMax:10us [09m33s] 15096 ab:aab=ab,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15096 ab:aab=ab,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15097 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:97,nodes:18,pairs:8,completionMax:17us [09m33s] 15097 ab:aab=ab,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15097 ab:aab=ab,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15098 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:12,pairs:4,completionMax:10us [09m33s] 15098 ab:aab=ab,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15098 ab:aab=ab,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15099 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:49,nodes:14,pairs:6,completionMax:12us [09m33s] 15099 ab:aab=ab,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15099 ab:aab=ab,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15100 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:17,nodes:14,pairs:3,completionMax:10us [09m33s] 15100 ab:aab=ab,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15100 ab:aab=ab,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15101 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:84,nodes:20,pairs:7,completionMax:16us [09m33s] 15101 ab:aab=ab,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15101 ab:aab=ab,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15102 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:22,nodes:14,pairs:4,completionMax:6us [09m33s] 15102 ab:aab=ab,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15102 ab:aab=ab,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15103 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:32,nodes:14,pairs:5,completionMax:7us [09m33s] 15103 ab:aab=ab,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15103 ab:aab=ab,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15104 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:9,nodes:14,pairs:2,completionMax:8us [09m33s] 15104 ab:aab=ab,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15104 ab:aab=ab,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15105 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:151,nodes:16,pairs:10,completionMax:21us [09m33s] 15105 ab:aab=ab,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15105 ab:aab=ab,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15106 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:74,nodes:10,pairs:8,completionMax:24us [09m33s] 15106 ab:aab=ab,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15106 ab:aab=ab,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15107 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:12,pairs:6,completionMax:12us [09m33s] 15107 ab:aab=ab,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15107 ab:aab=ab,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15108 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:241,nodes:16,pairs:15,completionMax:31us [09m33s] 15108 ab:aab=ab,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15108 ab:aab=ab,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15109 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:113,nodes:16,pairs:8,completionMax:21us [09m33s] 15109 ab:aab=ab,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15109 ab:aab=ab,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15110 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:128,nodes:14,pairs:10,completionMax:26us [09m33s] 15110 ab:aab=ab,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15110 ab:aab=ab,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15111 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:110,nodes:16,pairs:9,completionMax:23us [09m33s] 15111 ab:aab=ab,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15111 ab:aab=ab,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15112 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:499,nodes:24,pairs:22,completionMax:48us [09m33s] 15112 ab:aab=ab,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15112 ab:aab=ab,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15113 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:142,nodes:18,pairs:9,completionMax:20us [09m33s] 15113 ab:aab=ab,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15113 ab:aab=ab,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15114 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:130,nodes:14,pairs:10,completionMax:22us [09m33s] 15114 ab:aab=ab,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15114 ab:aab=ab,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15115 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:78,nodes:16,pairs:7,completionMax:17us [09m33s] 15115 ab:aab=ab,bababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15115 ab:aab=ab,bababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15116 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:408,nodes:22,pairs:22,completionMax:56us [09m33s] 15116 ab:aab=ab,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15116 ab:aab=ab,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15117 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:129,nodes:20,pairs:8,completionMax:18us [09m33s] 15117 ab:aab=ab,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15117 ab:aab=ab,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15118 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:593,nodes:28,pairs:18,completionMax:64us [09m33s] 15118 ab:aab=ab,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15118 ab:aab=ab,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15119 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:131,nodes:20,pairs:9,completionMax:19us [09m33s] 15119 ab:aab=ab,babbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15119 ab:aab=ab,babbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15120 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:893,nodes:32,pairs:27,completionMax:61us [09m33s] 15120 ab:aab=ab,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15120 ab:aab=ab,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15121 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:158,nodes:16,pairs:10,completionMax:23us [09m33s] 15121 ab:aab=ab,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15121 ab:aab=ab,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15122 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:163,nodes:12,pairs:14,completionMax:31us [09m33s] 15122 ab:aab=ab,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15122 ab:aab=ab,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15123 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:65,nodes:14,pairs:6,completionMax:14us [09m33s] 15123 ab:aab=ab,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15123 ab:aab=ab,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15124 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:392,nodes:22,pairs:13,completionMax:50us [09m33s] 15124 ab:aab=ab,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15124 ab:aab=ab,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15125 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:142,nodes:18,pairs:9,completionMax:26us [09m33s] 15125 ab:aab=ab,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15125 ab:aab=ab,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15126 solved: rounds:4,rules:2,peak:8,longest:6,steps:3,word:0,work:667,nodes:22,pairs:30,completionMax:93us [09m33s] 15126 ab:aab=ab,bbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15126 ab:aab=ab,bbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15127 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:67,nodes:16,pairs:6,completionMax:16us [09m33s] 15127 ab:aab=ab,bbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15127 ab:aab=ab,bbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15128 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:791,nodes:32,pairs:17,completionMax:79us [09m33s] 15128 ab:aab=ab,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15128 ab:aab=ab,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15129 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:155,nodes:16,pairs:10,completionMax:28us [09m33s] 15129 ab:aab=ab,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15129 ab:aab=ab,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15130 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:416,nodes:22,pairs:20,completionMax:66us [09m33s] 15130 ab:aab=ab,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15130 ab:aab=ab,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15131 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:68,nodes:16,pairs:6,completionMax:15us [09m33s] 15131 ab:aab=ab,bbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15131 ab:aab=ab,bbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15132 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:0,work:2833,nodes:38,pairs:27,completionMax:160us [09m33s] 15132 ab:aab=ab,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15132 ab:aab=ab,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15133 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:145,nodes:16,pairs:10,completionMax:23us [09m33s] 15133 ab:aab=ab,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15133 ab:aab=ab,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15134 solved: rounds:4,rules:2,peak:8,longest:7,steps:3,word:0,work:1105,nodes:32,pairs:29,completionMax:76us [09m33s] 15134 ab:aab=ab,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15134 ab:aab=ab,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15135 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:113,nodes:16,pairs:7,completionMax:20us [09m33s] 15135 ab:aab=ab,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15135 ab:aab=ab,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15136 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:15,nodes:16,pairs:1,completionMax:10us [09m33s] 15136 ab:aab=ab,bbbbbb=1 infinite ab - - ab:aa=a,bbbbbb=1 [09m33s] from: 15136 ab:aab=ab,bbbbbb=1 infinite to: 2755 ab:aa=a,bbbbbb=1 infinite a=a,b=b [09m33s] # 15137 solved: rounds:0,rules:2,peak:2,longest:6,steps:7,word:2,work:37,nodes:12,pairs:0,completionMax:6us [09m33s] 15137 ab:aab=ba,aaaaaa=1 infinite reversed:a/b - - ab:aaaaaa=1,ba=aab [09m33s] # 15138 solved: rounds:2,rules:2,peak:6,longest:4,steps:3,word:0,work:156,nodes:16,pairs:8,completionMax:29us [09m33s] 15138 ab:aab=ba,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15138 ab:aab=ba,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15139 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:154,nodes:16,pairs:16,completionMax:34us [09m33s] 15139 ab:aab=ba,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15139 ab:aab=ba,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15140 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:52,nodes:10,pairs:8,completionMax:20us [09m33s] 15140 ab:aab=ba,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15140 ab:aab=ba,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15141 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:321,nodes:24,pairs:25,completionMax:37us [09m33s] 15141 ab:aab=ba,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15141 ab:aab=ba,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15142 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:391,nodes:22,pairs:18,completionMax:64us [09m33s] 15142 ab:aab=ba,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15142 ab:aab=ba,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15143 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:193,nodes:14,pairs:10,completionMax:29us [09m33s] 15143 ab:aab=ba,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15143 ab:aab=ba,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15144 solved: rounds:3,rules:2,peak:11,longest:5,steps:4,word:0,work:671,nodes:22,pairs:45,completionMax:130us [09m33s] 15144 ab:aab=ba,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15144 ab:aab=ba,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15145 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:187,nodes:18,pairs:17,completionMax:36us [09m33s] 15145 ab:aab=ba,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15145 ab:aab=ba,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15146 solved: rounds:3,rules:3,peak:10,longest:5,steps:3,word:1,work:569,nodes:28,pairs:26,completionMax:73us [09m33s] 15146 ab:aab=ba,aabaab=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 15146 ab:aab=ba,aabaab=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 15147 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:347,nodes:24,pairs:29,completionMax:67us [09m33s] 15147 ab:aab=ba,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15147 ab:aab=ba,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15148 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:695,nodes:22,pairs:41,completionMax:75us [09m33s] 15148 ab:aab=ba,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15148 ab:aab=ba,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15149 solved: rounds:3,rules:2,peak:16,longest:6,steps:4,word:0,work:1682,nodes:34,pairs:92,completionMax:153us [09m33s] 15149 ab:aab=ba,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15149 ab:aab=ba,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15150 solved: rounds:3,rules:2,peak:5,longest:5,steps:7,word:0,work:247,nodes:18,pairs:11,completionMax:21us [09m33s] 15150 ab:aab=ba,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15150 ab:aab=ba,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15151 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:119,nodes:16,pairs:12,completionMax:21us [09m33s] 15151 ab:aab=ba,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15151 ab:aab=ba,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15152 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:252,nodes:20,pairs:13,completionMax:22us [09m33s] 15152 ab:aab=ba,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15152 ab:aab=ba,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15153 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:426,nodes:30,pairs:28,completionMax:38us [09m33s] 15153 ab:aab=ba,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15153 ab:aab=ba,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15154 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:0,work:195,nodes:14,pairs:10,completionMax:24us [09m33s] 15154 ab:aab=ba,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15154 ab:aab=ba,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15155 solved: rounds:3,rules:3,peak:13,longest:5,steps:4,word:1,work:1633,nodes:32,pairs:83,completionMax:221us [09m33s] 15155 ab:aab=ba,abaaba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 15155 ab:aab=ba,abaaba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 15156 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:61,nodes:16,pairs:7,completionMax:19us [09m33s] 15156 ab:aab=ba,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15156 ab:aab=ba,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15157 solved: rounds:2,rules:2,peak:15,longest:7,steps:5,word:0,work:1240,nodes:36,pairs:37,completionMax:144us [09m33s] 15157 ab:aab=ba,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15157 ab:aab=ba,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15158 solved: rounds:4,rules:3,peak:11,longest:9,steps:6,word:4,work:2252,nodes:44,pairs:52,completionMax:170us [09m33s] 15158 ab:aab=ba,ababab=1 finite:21;group:a-aaaaaa,b-bb a/b - - ab:aaaaaaa=1,ab=baaaa,bbb=1 [09m33s] # 15159 solved: rounds:2,rules:2,peak:12,longest:7,steps:6,word:0,work:906,nodes:32,pairs:25,completionMax:97us [09m33s] 15159 ab:aab=ba,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15159 ab:aab=ba,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15160 solved: rounds:4,rules:3,peak:9,longest:7,steps:8,word:2,work:1758,nodes:46,pairs:44,completionMax:165us [09m33s] 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] # 15161 solved: rounds:2,rules:2,peak:13,longest:6,steps:6,word:0,work:1100,nodes:36,pairs:31,completionMax:145us [09m33s] 15161 ab:aab=ba,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15161 ab:aab=ba,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15162 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:0,work:412,nodes:30,pairs:18,completionMax:64us [09m33s] 15162 ab:aab=ba,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15162 ab:aab=ba,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15163 solved: rounds:3,rules:2,peak:9,longest:7,steps:9,word:0,work:929,nodes:34,pairs:35,completionMax:97us [09m33s] 15163 ab:aab=ba,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15163 ab:aab=ba,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15164 solved: rounds:4,rules:3,peak:14,longest:7,steps:8,word:3,work:3712,nodes:56,pairs:61,completionMax:349us [09m33s] 15164 ab:aab=ba,abbabb=1 finite:20;group:a-aaaa,b-bbb a/b - - ab:aaaaa=1,ab=baaa,bbbb=1 [09m33s] # 15165 solved: rounds:2,rules:2,peak:10,longest:7,steps:5,word:0,work:700,nodes:34,pairs:29,completionMax:82us [09m33s] 15165 ab:aab=ba,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15165 ab:aab=ba,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15166 solved: rounds:3,rules:3,peak:8,longest:7,steps:4,word:1,work:1209,nodes:36,pairs:34,completionMax:134us [09m33s] 15166 ab:aab=ba,abbbab=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] from: 15166 ab:aab=ba,abbbab=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a=a,b=b [09m33s] # 15167 solved: rounds:2,rules:2,peak:8,longest:7,steps:4,word:0,work:508,nodes:38,pairs:19,completionMax:72us [09m33s] 15167 ab:aab=ba,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15167 ab:aab=ba,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15168 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:597,nodes:30,pairs:34,completionMax:84us [09m33s] 15168 ab:aab=ba,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15168 ab:aab=ba,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15169 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:218,nodes:20,pairs:18,completionMax:36us [09m33s] 15169 ab:aab=ba,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15169 ab:aab=ba,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15170 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:350,nodes:24,pairs:29,completionMax:67us [09m33s] 15170 ab:aab=ba,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15170 ab:aab=ba,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15171 solved: rounds:3,rules:2,peak:16,longest:6,steps:4,word:0,work:1684,nodes:34,pairs:92,completionMax:220us [09m33s] 15171 ab:aab=ba,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15171 ab:aab=ba,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15172 solved: rounds:3,rules:2,peak:5,longest:5,steps:7,word:0,work:249,nodes:18,pairs:11,completionMax:31us [09m33s] 15172 ab:aab=ba,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15172 ab:aab=ba,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15173 solved: rounds:3,rules:3,peak:11,longest:6,steps:4,word:1,work:1062,nodes:36,pairs:43,completionMax:171us [09m33s] 15173 ab:aab=ba,baabaa=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 15173 ab:aab=ba,baabaa=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 15174 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:58,nodes:12,pairs:8,completionMax:19us [09m33s] 15174 ab:aab=ba,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15174 ab:aab=ba,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15175 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:2015,nodes:32,pairs:76,completionMax:220us [09m33s] 15175 ab:aab=ba,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15175 ab:aab=ba,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15176 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:523,nodes:24,pairs:22,completionMax:43us [09m33s] 15176 ab:aab=ba,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15176 ab:aab=ba,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15177 solved: rounds:3,rules:2,peak:12,longest:6,steps:6,word:0,work:2363,nodes:36,pairs:46,completionMax:162us [09m33s] 15177 ab:aab=ba,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15177 ab:aab=ba,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15178 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:122,nodes:16,pairs:12,completionMax:27us [09m33s] 15178 ab:aab=ba,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15178 ab:aab=ba,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15179 solved: rounds:4,rules:3,peak:20,longest:9,steps:15,word:4,work:8771,nodes:68,pairs:117,completionMax:674us [09m33s] 15179 ab:aab=ba,bababa=1 finite:21;group:a-aaaaaa,b-bb a/b - - ab:aaaaaaa=1,ab=baaaa,bbb=1 [09m33s] from: 15179 ab:aab=ba,bababa=1 finite:21;group:a-aaaaaa,b-bb to: 15158 ab:aab=ba,ababab=1 finite:21;group:a-aaaaaa,b-bb a=a,b=b [09m33s] # 15180 solved: rounds:3,rules:3,peak:13,longest:6,steps:5,word:1,work:2330,nodes:34,pairs:67,completionMax:298us [09m33s] 15180 ab:aab=ba,bababb=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] from: 15180 ab:aab=ba,bababb=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a=a,b=b [09m33s] # 15181 solved: rounds:3,rules:2,peak:15,longest:7,steps:15,word:0,work:5018,nodes:42,pairs:135,completionMax:466us [09m33s] 15181 ab:aab=ba,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15181 ab:aab=ba,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15182 solved: rounds:4,rules:3,peak:8,longest:9,steps:14,word:5,work:2274,nodes:54,pairs:35,completionMax:160us [09m33s] 15182 ab:aab=ba,babbab=1 finite:20;group:a-aaaa,b-bbb a/b - - ab:aaaaa=1,ab=baaa,bbbb=1 [09m33s] from: 15182 ab:aab=ba,babbab=1 finite:20;group:a-aaaa,b-bbb to: 15164 ab:aab=ba,abbabb=1 finite:20;group:a-aaaa,b-bbb a=a,b=b [09m33s] # 15183 solved: rounds:3,rules:3,peak:5,longest:6,steps:10,word:2,work:513,nodes:24,pairs:14,completionMax:43us [09m33s] 15183 ab:aab=ba,babbba=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] from: 15183 ab:aab=ba,babbba=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a=a,b=b [09m33s] # 15184 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:287,nodes:24,pairs:13,completionMax:36us [09m33s] 15184 ab:aab=ba,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15184 ab:aab=ba,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15185 solved: rounds:3,rules:2,peak:10,longest:7,steps:4,word:0,work:650,nodes:38,pairs:45,completionMax:107us [09m33s] 15185 ab:aab=ba,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15185 ab:aab=ba,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15186 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:2017,nodes:32,pairs:76,completionMax:207us [09m33s] 15186 ab:aab=ba,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15186 ab:aab=ba,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15187 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:410,nodes:30,pairs:34,completionMax:63us [09m33s] 15187 ab:aab=ba,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15187 ab:aab=ba,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15188 solved: rounds:4,rules:2,peak:9,longest:6,steps:7,word:0,work:1200,nodes:30,pairs:48,completionMax:105us [09m33s] 15188 ab:aab=ba,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15188 ab:aab=ba,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15189 solved: rounds:3,rules:2,peak:13,longest:7,steps:4,word:0,work:1445,nodes:40,pairs:60,completionMax:166us [09m33s] 15189 ab:aab=ba,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15189 ab:aab=ba,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15190 solved: rounds:4,rules:3,peak:7,longest:7,steps:8,word:2,work:886,nodes:32,pairs:22,completionMax:77us [09m33s] 15190 ab:aab=ba,bbabab=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] from: 15190 ab:aab=ba,bbabab=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a=a,b=b [09m33s] # 15191 solved: rounds:4,rules:3,peak:11,longest:7,steps:14,word:5,work:4502,nodes:48,pairs:94,completionMax:411us [09m33s] 15191 ab:aab=ba,bbabba=1 finite:20;group:a-aaaa,b-bbb a/b - - ab:aaaaa=1,ab=baaa,bbbb=1 [09m33s] from: 15191 ab:aab=ba,bbabba=1 finite:20;group:a-aaaa,b-bbb to: 15164 ab:aab=ba,abbabb=1 finite:20;group:a-aaaa,b-bbb a=a,b=b [09m33s] # 15192 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:713,nodes:30,pairs:25,completionMax:93us [09m33s] 15192 ab:aab=ba,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15192 ab:aab=ba,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15193 solved: rounds:3,rules:2,peak:13,longest:7,steps:6,word:0,work:1374,nodes:40,pairs:67,completionMax:206us [09m33s] 15193 ab:aab=ba,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15193 ab:aab=ba,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15194 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:65,nodes:14,pairs:8,completionMax:17us [09m33s] 15194 ab:aab=ba,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15194 ab:aab=ba,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15195 solved: rounds:3,rules:3,peak:10,longest:8,steps:5,word:1,work:1452,nodes:44,pairs:59,completionMax:204us [09m33s] 15195 ab:aab=ba,bbbaba=1 finite:12;center:1,bb;group:a-aa,b-bbb a/b - - ab:aaa=1,ab=baa,bbbb=1 [09m33s] from: 15195 ab:aab=ba,bbbaba=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb a=a,b=b [09m33s] # 15196 solved: rounds:3,rules:2,peak:12,longest:7,steps:10,word:0,work:1613,nodes:36,pairs:59,completionMax:145us [09m33s] 15196 ab:aab=ba,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15196 ab:aab=ba,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15197 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:0,work:441,nodes:34,pairs:34,completionMax:92us [09m33s] 15197 ab:aab=ba,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15197 ab:aab=ba,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15198 solved: rounds:4,rules:2,peak:12,longest:7,steps:6,word:0,work:3737,nodes:54,pairs:99,completionMax:217us [09m33s] 15198 ab:aab=ba,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15198 ab:aab=ba,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15199 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:70,nodes:16,pairs:8,completionMax:32us [09m33s] 15199 ab:aab=ba,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15199 ab:aab=ba,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15200 solved: rounds:1,rules:3,peak:3,longest:64,steps:65,word:62,work:3410,nodes:138,pairs:1,completionMax:406us [09m33s] 15200 ab:aab=ba,bbbbbb=1 finite:384;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=a,ba=aab,bbbbbb=1 [09m33s] # 15201 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:38,nodes:18,pairs:2,completionMax:15us [09m33s] 15201 ab:aab=bb,aaaaaa=1 infinite ab - - ab:aab=bb,bbbb=b,aaaaaa=1 [09m33s] # 15202 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:30,nodes:14,pairs:3,completionMax:15us [09m33s] 15202 ab:aab=bb,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15202 ab:aab=bb,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15203 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:1,work:550,nodes:26,pairs:27,completionMax:85us [09m33s] 15203 ab:aab=bb,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15203 ab:aab=bb,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15204 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:37,nodes:16,pairs:3,completionMax:14us [09m33s] 15204 ab:aab=bb,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15204 ab:aab=bb,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15205 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:1,work:778,nodes:26,pairs:24,completionMax:80us [09m33s] 15205 ab:aab=bb,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15205 ab:aab=bb,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15206 solved: rounds:3,rules:2,peak:11,longest:12,steps:4,word:2,work:2917,nodes:48,pairs:73,completionMax:291us [09m33s] 15206 ab:aab=bb,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15206 ab:aab=bb,aaabab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15207 solved: rounds:3,rules:2,peak:7,longest:8,steps:5,word:1,work:612,nodes:28,pairs:25,completionMax:68us [09m33s] 15207 ab:aab=bb,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15207 ab:aab=bb,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15208 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:2,work:44,nodes:18,pairs:3,completionMax:15us [09m33s] 15208 ab:aab=bb,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15208 ab:aab=bb,aaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15209 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:2,work:1063,nodes:38,pairs:18,completionMax:96us [09m33s] 15209 ab:aab=bb,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15209 ab:aab=bb,aabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15210 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:2,work:299,nodes:32,pairs:12,completionMax:44us [09m33s] 15210 ab:aab=bb,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15210 ab:aab=bb,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15211 solved: rounds:3,rules:2,peak:9,longest:11,steps:4,word:2,work:1218,nodes:48,pairs:16,completionMax:110us [09m33s] 15211 ab:aab=bb,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15211 ab:aab=bb,aababa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15212 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:1,work:189,nodes:22,pairs:9,completionMax:35us [09m33s] 15212 ab:aab=bb,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15212 ab:aab=bb,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15213 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:1,work:1026,nodes:28,pairs:17,completionMax:54us [09m33s] 15213 ab:aab=bb,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15213 ab:aab=bb,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15214 solved: rounds:3,rules:2,peak:10,longest:13,steps:4,word:2,work:1835,nodes:48,pairs:35,completionMax:109us [09m33s] 15214 ab:aab=bb,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15214 ab:aab=bb,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15215 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:2,work:1200,nodes:36,pairs:31,completionMax:92us [09m33s] 15215 ab:aab=bb,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15215 ab:aab=bb,aabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15216 solved: rounds:2,rules:2,peak:3,longest:10,steps:3,word:3,work:51,nodes:20,pairs:3,completionMax:11us [09m33s] 15216 ab:aab=bb,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15216 ab:aab=bb,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15217 solved: rounds:3,rules:2,peak:6,longest:12,steps:8,word:1,work:846,nodes:40,pairs:13,completionMax:56us [09m33s] 15217 ab:aab=bb,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15217 ab:aab=bb,abaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15218 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:1,work:157,nodes:22,pairs:9,completionMax:24us [09m33s] 15218 ab:aab=bb,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15218 ab:aab=bb,abaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15219 solved: rounds:3,rules:2,peak:7,longest:8,steps:6,word:2,work:776,nodes:26,pairs:17,completionMax:64us [09m33s] 15219 ab:aab=bb,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15219 ab:aab=bb,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15220 solved: rounds:3,rules:2,peak:8,longest:13,steps:7,word:2,work:1325,nodes:46,pairs:26,completionMax:130us [09m33s] 15220 ab:aab=bb,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15220 ab:aab=bb,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15221 solved: rounds:3,rules:2,peak:10,longest:42,steps:6,word:35,work:52719,nodes:102,pairs:40,completionMax:1288us [09m33s] 15221 ab:aab=bb,ababaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15221 ab:aab=bb,ababaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15222 solved: rounds:3,rules:2,peak:7,longest:13,steps:3,word:11,work:761,nodes:32,pairs:29,completionMax:80us [09m33s] 15222 ab:aab=bb,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15222 ab:aab=bb,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15223 solved: rounds:4,rules:2,peak:11,longest:9,steps:11,word:2,work:4695,nodes:46,pairs:38,completionMax:181us [09m33s] 15223 ab:aab=bb,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15223 ab:aab=bb,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15224 solved: rounds:3,rules:2,peak:7,longest:10,steps:7,word:2,work:1005,nodes:42,pairs:28,completionMax:115us [09m33s] 15224 ab:aab=bb,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15224 ab:aab=bb,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15225 solved: rounds:3,rules:2,peak:8,longest:13,steps:7,word:1,work:1940,nodes:44,pairs:17,completionMax:143us [09m33s] 15225 ab:aab=bb,abbaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15225 ab:aab=bb,abbaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15226 solved: rounds:4,rules:2,peak:7,longest:9,steps:6,word:2,work:1290,nodes:30,pairs:36,completionMax:98us [09m33s] 15226 ab:aab=bb,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15226 ab:aab=bb,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15227 solved: rounds:3,rules:2,peak:10,longest:11,steps:11,word:2,work:2829,nodes:56,pairs:69,completionMax:298us [09m33s] 15227 ab:aab=bb,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15227 ab:aab=bb,abbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15228 solved: rounds:3,rules:2,peak:13,longest:14,steps:4,word:2,work:3868,nodes:56,pairs:76,completionMax:375us [09m33s] 15228 ab:aab=bb,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15228 ab:aab=bb,abbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15229 solved: rounds:3,rules:2,peak:6,longest:9,steps:4,word:2,work:1068,nodes:30,pairs:20,completionMax:64us [09m33s] 15229 ab:aab=bb,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15229 ab:aab=bb,abbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15230 solved: rounds:4,rules:2,peak:12,longest:20,steps:3,word:12,work:4443,nodes:70,pairs:69,completionMax:339us [09m33s] 15230 ab:aab=bb,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15230 ab:aab=bb,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15231 solved: rounds:3,rules:2,peak:6,longest:10,steps:5,word:3,work:848,nodes:32,pairs:22,completionMax:89us [09m33s] 15231 ab:aab=bb,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15231 ab:aab=bb,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15232 solved: rounds:2,rules:2,peak:3,longest:11,steps:4,word:4,work:58,nodes:22,pairs:3,completionMax:17us [09m33s] 15232 ab:aab=bb,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15232 ab:aab=bb,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15233 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:30,nodes:14,pairs:3,completionMax:13us [09m33s] 15233 ab:aab=bb,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15233 ab:aab=bb,baaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15234 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:2,work:167,nodes:30,pairs:6,completionMax:36us [09m33s] 15234 ab:aab=bb,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15234 ab:aab=bb,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15235 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:49,nodes:16,pairs:5,completionMax:16us [09m33s] 15235 ab:aab=bb,baaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15235 ab:aab=bb,baaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15236 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:2,work:190,nodes:34,pairs:6,completionMax:25us [09m33s] 15236 ab:aab=bb,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15236 ab:aab=bb,baaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15237 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:44,nodes:16,pairs:4,completionMax:10us [09m33s] 15237 ab:aab=bb,baabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15237 ab:aab=bb,baabaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15238 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:224,nodes:32,pairs:7,completionMax:31us [09m33s] 15238 ab:aab=bb,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15238 ab:aab=bb,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15239 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:2,work:58,nodes:18,pairs:5,completionMax:12us [09m33s] 15239 ab:aab=bb,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15239 ab:aab=bb,baabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15240 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:2,work:213,nodes:38,pairs:6,completionMax:31us [09m33s] 15240 ab:aab=bb,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15240 ab:aab=bb,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15241 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:2,work:43,nodes:16,pairs:4,completionMax:13us [09m33s] 15241 ab:aab=bb,babaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15241 ab:aab=bb,babaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15242 solved: rounds:2,rules:2,peak:4,longest:11,steps:3,word:3,work:219,nodes:32,pairs:7,completionMax:33us [09m33s] 15242 ab:aab=bb,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15242 ab:aab=bb,babaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15243 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:2,work:72,nodes:18,pairs:5,completionMax:14us [09m33s] 15243 ab:aab=bb,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15243 ab:aab=bb,bababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15244 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:3,work:244,nodes:36,pairs:7,completionMax:33us [09m33s] 15244 ab:aab=bb,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15244 ab:aab=bb,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15245 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:2,work:54,nodes:18,pairs:5,completionMax:14us [09m33s] 15245 ab:aab=bb,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15245 ab:aab=bb,babbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15246 solved: rounds:2,rules:2,peak:4,longest:12,steps:3,word:3,work:252,nodes:36,pairs:7,completionMax:46us [09m33s] 15246 ab:aab=bb,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15246 ab:aab=bb,babbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15247 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:2,work:67,nodes:20,pairs:5,completionMax:17us [09m33s] 15247 ab:aab=bb,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15247 ab:aab=bb,babbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15248 solved: rounds:2,rules:2,peak:4,longest:13,steps:3,word:3,work:236,nodes:42,pairs:6,completionMax:44us [09m33s] 15248 ab:aab=bb,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15248 ab:aab=bb,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15249 solved: rounds:3,rules:2,peak:7,longest:12,steps:6,word:2,work:1554,nodes:48,pairs:19,completionMax:110us [09m33s] 15249 ab:aab=bb,bbaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15249 ab:aab=bb,bbaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15250 solved: rounds:2,rules:2,peak:5,longest:9,steps:3,word:1,work:185,nodes:22,pairs:9,completionMax:30us [09m33s] 15250 ab:aab=bb,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15250 ab:aab=bb,bbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15251 solved: rounds:3,rules:2,peak:7,longest:14,steps:14,word:2,work:1285,nodes:46,pairs:17,completionMax:80us [09m33s] 15251 ab:aab=bb,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15251 ab:aab=bb,bbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15252 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:2,work:191,nodes:26,pairs:9,completionMax:30us [09m33s] 15252 ab:aab=bb,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15252 ab:aab=bb,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15253 solved: rounds:3,rules:2,peak:8,longest:14,steps:8,word:3,work:2322,nodes:54,pairs:22,completionMax:116us [09m33s] 15253 ab:aab=bb,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15253 ab:aab=bb,bbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15254 solved: rounds:2,rules:2,peak:6,longest:10,steps:4,word:3,work:457,nodes:38,pairs:11,completionMax:51us [09m33s] 15254 ab:aab=bb,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15254 ab:aab=bb,bbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15255 solved: rounds:3,rules:2,peak:8,longest:13,steps:3,word:3,work:1436,nodes:60,pairs:22,completionMax:99us [09m33s] 15255 ab:aab=bb,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15255 ab:aab=bb,bbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15256 solved: rounds:2,rules:2,peak:6,longest:11,steps:6,word:3,work:1063,nodes:44,pairs:22,completionMax:95us [09m33s] 15256 ab:aab=bb,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15256 ab:aab=bb,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15257 solved: rounds:4,rules:2,peak:9,longest:13,steps:10,word:2,work:5736,nodes:58,pairs:45,completionMax:265us [09m33s] 15257 ab:aab=bb,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15257 ab:aab=bb,bbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15258 solved: rounds:3,rules:2,peak:7,longest:10,steps:2,word:2,work:576,nodes:42,pairs:36,completionMax:78us [09m33s] 15258 ab:aab=bb,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15258 ab:aab=bb,bbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15259 solved: rounds:4,rules:2,peak:17,longest:17,steps:13,word:22,work:13313,nodes:76,pairs:69,completionMax:604us [09m33s] 15259 ab:aab=bb,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15259 ab:aab=bb,bbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15260 solved: rounds:3,rules:2,peak:11,longest:15,steps:4,word:3,work:2837,nodes:56,pairs:55,completionMax:180us [09m33s] 15260 ab:aab=bb,bbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15260 ab:aab=bb,bbbabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15261 solved: rounds:3,rules:2,peak:6,longest:10,steps:4,word:3,work:1129,nodes:32,pairs:20,completionMax:68us [09m33s] 15261 ab:aab=bb,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15261 ab:aab=bb,bbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15262 solved: rounds:3,rules:2,peak:10,longest:15,steps:4,word:3,work:1919,nodes:52,pairs:33,completionMax:110us [09m33s] 15262 ab:aab=bb,bbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15262 ab:aab=bb,bbbbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15263 solved: rounds:3,rules:2,peak:6,longest:11,steps:5,word:4,work:893,nodes:34,pairs:22,completionMax:85us [09m33s] 15263 ab:aab=bb,bbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15263 ab:aab=bb,bbbbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15264 solved: rounds:2,rules:2,peak:3,longest:12,steps:5,word:5,work:65,nodes:24,pairs:3,completionMax:16us [09m33s] 15264 ab:aab=bb,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [09m33s] from: 15264 ab:aab=bb,bbbbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [09m33s] # 15265 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:45,nodes:16,pairs:4,completionMax:16us [09m33s] 15265 ab:aba=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [09m33s] from: 15265 ab:aba=aa,aaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [09m33s] # 15266 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:0,work:105,nodes:14,pairs:5,completionMax:23us [09m33s] 15266 ab:aba=aa,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15266 ab:aba=aa,aaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15267 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:47,nodes:14,pairs:4,completionMax:17us [09m33s] 15267 ab:aba=aa,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15267 ab:aba=aa,aaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15268 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:28,nodes:14,pairs:3,completionMax:14us [09m33s] 15268 ab:aba=aa,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15268 ab:aba=aa,aaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15269 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:46,nodes:14,pairs:4,completionMax:15us [09m33s] 15269 ab:aba=aa,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [09m33s] from: 15269 ab:aba=aa,aaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [09m33s] # 15270 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:92,nodes:12,pairs:5,completionMax:28us [09m33s] 15270 ab:aba=aa,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15270 ab:aba=aa,aaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15271 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:82,nodes:16,pairs:7,completionMax:16us [09m33s] 15271 ab:aba=aa,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15271 ab:aba=aa,aaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15272 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:30,nodes:14,pairs:3,completionMax:8us [09m33s] 15272 ab:aba=aa,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15272 ab:aba=aa,aaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15273 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:91,nodes:12,pairs:5,completionMax:24us [09m33s] 15273 ab:aba=aa,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15273 ab:aba=aa,aabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15274 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:46,nodes:12,pairs:4,completionMax:10us [09m33s] 15274 ab:aba=aa,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15274 ab:aba=aa,aababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15275 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:29,nodes:12,pairs:3,completionMax:11us [09m33s] 15275 ab:aba=aa,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15275 ab:aba=aa,aababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15276 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:87,nodes:16,pairs:8,completionMax:18us [09m33s] 15276 ab:aba=aa,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15276 ab:aba=aa,aabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15277 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:98,nodes:16,pairs:6,completionMax:17us [09m33s] 15277 ab:aba=aa,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15277 ab:aba=aa,aabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15278 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:84,nodes:16,pairs:7,completionMax:14us [09m33s] 15278 ab:aba=aa,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15278 ab:aba=aa,aabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15279 solved: rounds:3,rules:2,peak:3,longest:6,steps:3,word:0,work:30,nodes:14,pairs:3,completionMax:7us [09m33s] 15279 ab:aba=aa,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15279 ab:aba=aa,aabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15280 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:90,nodes:12,pairs:5,completionMax:18us [09m33s] 15280 ab:aba=aa,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15280 ab:aba=aa,abaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15281 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:12,pairs:4,completionMax:19us [09m33s] 15281 ab:aba=aa,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15281 ab:aba=aa,abaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15282 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:12,pairs:3,completionMax:11us [09m33s] 15282 ab:aba=aa,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15282 ab:aba=aa,abaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15283 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:10,pairs:5,completionMax:21us [09m33s] 15283 ab:aba=aa,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15283 ab:aba=aa,ababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15284 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:72,nodes:14,pairs:7,completionMax:19us [09m33s] 15284 ab:aba=aa,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15284 ab:aba=aa,ababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15285 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:29,nodes:12,pairs:3,completionMax:12us [09m33s] 15285 ab:aba=aa,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15285 ab:aba=aa,ababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15286 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:169,nodes:20,pairs:11,completionMax:39us [09m33s] 15286 ab:aba=aa,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15286 ab:aba=aa,abbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15287 solved: rounds:3,rules:2,peak:3,longest:6,steps:3,word:0,work:38,nodes:12,pairs:4,completionMax:10us [09m33s] 15287 ab:aba=aa,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15287 ab:aba=aa,abbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15288 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:166,nodes:18,pairs:10,completionMax:38us [09m33s] 15288 ab:aba=aa,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15288 ab:aba=aa,abbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15289 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:96,nodes:14,pairs:7,completionMax:19us [09m33s] 15289 ab:aba=aa,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15289 ab:aba=aa,abbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15290 solved: rounds:3,rules:2,peak:3,longest:6,steps:4,word:0,work:28,nodes:12,pairs:3,completionMax:9us [09m33s] 15290 ab:aba=aa,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15290 ab:aba=aa,abbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15291 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:401,nodes:24,pairs:25,completionMax:84us [09m33s] 15291 ab:aba=aa,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 15291 ab:aba=aa,baaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [09m33s] # 15292 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:0,work:546,nodes:24,pairs:26,completionMax:87us [09m33s] 15292 ab:aba=aa,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15292 ab:aba=aa,baaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15293 solved: rounds:3,rules:2,peak:7,longest:5,steps:2,word:0,work:312,nodes:20,pairs:22,completionMax:51us [09m33s] 15293 ab:aba=aa,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 15293 ab:aba=aa,baabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 15294 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:435,nodes:24,pairs:22,completionMax:60us [09m33s] 15294 ab:aba=aa,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15294 ab:aba=aa,baabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15295 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:422,nodes:20,pairs:28,completionMax:88us [09m33s] 15295 ab:aba=aa,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15295 ab:aba=aa,bababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15296 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:649,nodes:28,pairs:16,completionMax:105us [09m33s] 15296 ab:aba=aa,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15296 ab:aba=aa,babbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15297 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:394,nodes:24,pairs:36,completionMax:56us [09m33s] 15297 ab:aba=aa,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15297 ab:aba=aa,babbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15298 solved: rounds:3,rules:2,peak:11,longest:7,steps:6,word:0,work:1619,nodes:42,pairs:56,completionMax:116us [09m33s] 15298 ab:aba=aa,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 15298 ab:aba=aa,bbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 15299 solved: rounds:3,rules:2,peak:12,longest:6,steps:7,word:0,work:2241,nodes:38,pairs:81,completionMax:167us [09m33s] 15299 ab:aba=aa,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15299 ab:aba=aa,bbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15300 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:7,nodes:16,pairs:0,completionMax:4us [09m33s] 15300 ab:aba=aa,bbbbbb=1 infinite ab - - ab:aba=aa,bbbbbb=1 [09m33s] # 15301 solved: rounds:1,rules:2,peak:3,longest:6,steps:5,word:0,work:43,nodes:16,pairs:2,completionMax:9us [09m33s] 15301 ab:aba=ab,aaaaaa=1 infinite ab - - ab:ba=b,aaaaaa=1 [09m33s] from: 15301 ab:aba=ab,aaaaaa=1 infinite to: 2855 ab:ab=a,bbbbbb=1 infinite a=b,b=a [09m33s] # 15302 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:71,nodes:16,pairs:8,completionMax:18us [09m33s] 15302 ab:aba=ab,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15302 ab:aba=ab,aaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15303 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:63,nodes:14,pairs:7,completionMax:17us [09m33s] 15303 ab:aba=ab,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15303 ab:aba=ab,aaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15304 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:136,nodes:16,pairs:9,completionMax:19us [09m33s] 15304 ab:aba=ab,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15304 ab:aba=ab,aaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15305 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:55,nodes:12,pairs:6,completionMax:9us [09m33s] 15305 ab:aba=ab,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15305 ab:aba=ab,aaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15306 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:124,nodes:14,pairs:8,completionMax:13us [09m33s] 15306 ab:aba=ab,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15306 ab:aba=ab,aaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15307 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:300,nodes:18,pairs:14,completionMax:38us [09m33s] 15307 ab:aba=ab,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15307 ab:aba=ab,aaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15308 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:356,nodes:18,pairs:11,completionMax:40us [09m33s] 15308 ab:aba=ab,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15308 ab:aba=ab,aaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15309 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:47,nodes:10,pairs:5,completionMax:10us [09m33s] 15309 ab:aba=ab,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15309 ab:aba=ab,aabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15310 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:112,nodes:12,pairs:7,completionMax:15us [09m33s] 15310 ab:aba=ab,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15310 ab:aba=ab,aabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15311 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:237,nodes:16,pairs:14,completionMax:36us [09m33s] 15311 ab:aba=ab,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15311 ab:aba=ab,aababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15312 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:323,nodes:16,pairs:11,completionMax:35us [09m33s] 15312 ab:aba=ab,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15312 ab:aba=ab,aababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15313 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:293,nodes:18,pairs:14,completionMax:31us [09m33s] 15313 ab:aba=ab,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15313 ab:aba=ab,aabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15314 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:68,nodes:20,pairs:6,completionMax:19us [09m33s] 15314 ab:aba=ab,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15314 ab:aba=ab,aabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15315 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:287,nodes:22,pairs:14,completionMax:42us [09m33s] 15315 ab:aba=ab,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15315 ab:aba=ab,aabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15316 solved: rounds:3,rules:2,peak:9,longest:6,steps:2,word:0,work:521,nodes:20,pairs:13,completionMax:72us [09m33s] 15316 ab:aba=ab,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15316 ab:aba=ab,aabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15317 solved: rounds:1,rules:2,peak:3,longest:3,steps:4,word:0,work:28,nodes:6,pairs:3,completionMax:5us [09m33s] 15317 ab:aba=ab,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15317 ab:aba=ab,abaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15318 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:0,work:26,nodes:6,pairs:3,completionMax:9us [09m33s] 15318 ab:aba=ab,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15318 ab:aba=ab,abaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15319 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:10,pairs:12,completionMax:26us [09m33s] 15319 ab:aba=ab,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15319 ab:aba=ab,abaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15320 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:65,nodes:12,pairs:7,completionMax:21us [09m33s] 15320 ab:aba=ab,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15320 ab:aba=ab,abaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15321 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:179,nodes:14,pairs:11,completionMax:32us [09m33s] 15321 ab:aba=ab,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15321 ab:aba=ab,ababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15322 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:60,nodes:16,pairs:6,completionMax:18us [09m33s] 15322 ab:aba=ab,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15322 ab:aba=ab,ababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15323 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:204,nodes:16,pairs:12,completionMax:33us [09m33s] 15323 ab:aba=ab,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15323 ab:aba=ab,ababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15324 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:70,nodes:14,pairs:7,completionMax:15us [09m33s] 15324 ab:aba=ab,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15324 ab:aba=ab,ababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15325 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:200,nodes:16,pairs:11,completionMax:30us [09m33s] 15325 ab:aba=ab,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15325 ab:aba=ab,abbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15326 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:83,nodes:18,pairs:7,completionMax:16us [09m33s] 15326 ab:aba=ab,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15326 ab:aba=ab,abbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15327 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:63,nodes:16,pairs:6,completionMax:16us [09m33s] 15327 ab:aba=ab,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15327 ab:aba=ab,abbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15328 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:0,work:409,nodes:28,pairs:19,completionMax:50us [09m33s] 15328 ab:aba=ab,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15328 ab:aba=ab,abbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15329 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:231,nodes:18,pairs:12,completionMax:46us [09m33s] 15329 ab:aba=ab,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15329 ab:aba=ab,abbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15330 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:69,nodes:20,pairs:6,completionMax:20us [09m33s] 15330 ab:aba=ab,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15330 ab:aba=ab,abbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15331 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:258,nodes:20,pairs:13,completionMax:45us [09m33s] 15331 ab:aba=ab,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15331 ab:aba=ab,abbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15332 solved: rounds:2,rules:2,peak:5,longest:6,steps:1,word:0,work:75,nodes:16,pairs:7,completionMax:22us [09m33s] 15332 ab:aba=ab,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15332 ab:aba=ab,abbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15333 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:166,nodes:16,pairs:11,completionMax:26us [09m33s] 15333 ab:aba=ab,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 15333 ab:aba=ab,baaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 15334 solved: rounds:1,rules:2,peak:4,longest:6,steps:4,word:0,work:87,nodes:16,pairs:4,completionMax:15us [09m33s] 15334 ab:aba=ab,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15334 ab:aba=ab,baaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15335 solved: rounds:1,rules:2,peak:4,longest:5,steps:3,word:0,work:69,nodes:14,pairs:4,completionMax:11us [09m33s] 15335 ab:aba=ab,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15335 ab:aba=ab,baaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15336 solved: rounds:2,rules:2,peak:7,longest:6,steps:6,word:0,work:400,nodes:18,pairs:16,completionMax:51us [09m33s] 15336 ab:aba=ab,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15336 ab:aba=ab,baaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15337 solved: rounds:1,rules:2,peak:4,longest:4,steps:3,word:0,work:53,nodes:12,pairs:4,completionMax:11us [09m33s] 15337 ab:aba=ab,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15337 ab:aba=ab,baabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15338 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:309,nodes:16,pairs:16,completionMax:46us [09m33s] 15338 ab:aba=ab,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15338 ab:aba=ab,baabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15339 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:146,nodes:18,pairs:10,completionMax:23us [09m33s] 15339 ab:aba=ab,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15339 ab:aba=ab,baabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15340 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:303,nodes:20,pairs:18,completionMax:49us [09m33s] 15340 ab:aba=ab,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15340 ab:aba=ab,baabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15341 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:39,nodes:10,pairs:4,completionMax:9us [09m33s] 15341 ab:aba=ab,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15341 ab:aba=ab,babaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15342 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:207,nodes:14,pairs:15,completionMax:31us [09m33s] 15342 ab:aba=ab,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15342 ab:aba=ab,babaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15343 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:89,nodes:16,pairs:10,completionMax:21us [09m33s] 15343 ab:aba=ab,bababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15343 ab:aba=ab,bababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15344 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:203,nodes:18,pairs:17,completionMax:39us [09m33s] 15344 ab:aba=ab,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15344 ab:aba=ab,bababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15345 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:103,nodes:18,pairs:9,completionMax:23us [09m33s] 15345 ab:aba=ab,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15345 ab:aba=ab,babbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15346 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:0,work:58,nodes:20,pairs:4,completionMax:12us [09m33s] 15346 ab:aba=ab,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15346 ab:aba=ab,babbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15347 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:97,nodes:20,pairs:10,completionMax:29us [09m33s] 15347 ab:aba=ab,babbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15347 ab:aba=ab,babbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15348 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:240,nodes:22,pairs:16,completionMax:29us [09m33s] 15348 ab:aba=ab,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15348 ab:aba=ab,babbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15349 solved: rounds:3,rules:2,peak:3,longest:6,steps:3,word:0,work:29,nodes:16,pairs:4,completionMax:10us [09m33s] 15349 ab:aba=ab,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 15349 ab:aba=ab,bbaaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 15350 solved: rounds:2,rules:2,peak:3,longest:6,steps:3,word:0,work:57,nodes:16,pairs:6,completionMax:12us [09m33s] 15350 ab:aba=ab,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15350 ab:aba=ab,bbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15351 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:42,nodes:14,pairs:5,completionMax:15us [09m33s] 15351 ab:aba=ab,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15351 ab:aba=ab,bbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15352 solved: rounds:2,rules:2,peak:10,longest:6,steps:4,word:0,work:759,nodes:30,pairs:21,completionMax:70us [09m33s] 15352 ab:aba=ab,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15352 ab:aba=ab,bbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15353 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:4,completionMax:12us [09m33s] 15353 ab:aba=ab,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15353 ab:aba=ab,bbabaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15354 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:401,nodes:24,pairs:12,completionMax:41us [09m33s] 15354 ab:aba=ab,bbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15354 ab:aba=ab,bbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15355 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:34,nodes:16,pairs:5,completionMax:15us [09m33s] 15355 ab:aba=ab,bbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15355 ab:aba=ab,bbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15356 solved: rounds:3,rules:2,peak:10,longest:6,steps:3,word:0,work:850,nodes:36,pairs:23,completionMax:113us [09m33s] 15356 ab:aba=ab,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15356 ab:aba=ab,bbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15357 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:29,nodes:16,pairs:4,completionMax:15us [09m33s] 15357 ab:aba=ab,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [09m33s] from: 15357 ab:aba=ab,bbbaaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [09m33s] # 15358 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:44,nodes:16,pairs:5,completionMax:14us [09m33s] 15358 ab:aba=ab,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15358 ab:aba=ab,bbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15359 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:30,nodes:14,pairs:4,completionMax:10us [09m33s] 15359 ab:aba=ab,bbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15359 ab:aba=ab,bbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15360 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:470,nodes:26,pairs:18,completionMax:70us [09m33s] 15360 ab:aba=ab,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15360 ab:aba=ab,bbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15361 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:27,nodes:16,pairs:4,completionMax:18us [09m33s] 15361 ab:aba=ab,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [09m33s] from: 15361 ab:aba=ab,bbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [09m33s] # 15362 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:27,nodes:16,pairs:4,completionMax:14us [09m33s] 15362 ab:aba=ab,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15362 ab:aba=ab,bbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15363 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:0,work:23,nodes:16,pairs:4,completionMax:16us [09m33s] 15363 ab:aba=ab,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [09m33s] from: 15363 ab:aba=ab,bbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [09m33s] # 15364 solved: rounds:3,rules:7,peak:7,longest:7,steps:2,word:0,work:510,nodes:24,pairs:11,completionMax:47us [09m33s] 15364 ab:aba=ab,bbbbbb=1 finite:42;idempotents:1,a,babbbbb,bbabbbb,bbbabbb,bbbbabb,bbbbbab ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbba=abbbb,bbbbbb=1,abbbbba=abbbbb [09m33s] # 15365 solved: rounds:7,rules:15,peak:45,longest:20,steps:52,word:29,work:218984,nodes:544,pairs:990,completionMax:10959us [09m33s] 15365 ab:aba=bb,aaaaaa=1 infinite b/d/c/a aa=c,aaaaabaaaaabaaaaabaaaaabaaaaabaaaaa=d custom:0 abcd:dbb=b,bd=db,ddb=d,bcdb=bc,bbbc=cbbb,dc=bbcddd,dbc=cdb,bccdb=bcc,bcbc=ccbbbbb,bbcc=cbcdd,ccc=1,ba=accbb,da=abcddd,ca=ac,aa=c [09m33s] # 15366 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:2,work:25,nodes:14,pairs:3,completionMax:16us [09m33s] 15366 ab:aba=bb,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15366 ab:aba=bb,aaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15367 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:2,work:432,nodes:28,pairs:13,completionMax:49us [09m33s] 15367 ab:aba=bb,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15367 ab:aba=bb,aaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15368 solved: rounds:3,rules:2,peak:7,longest:10,steps:6,word:2,work:917,nodes:40,pairs:18,completionMax:81us [09m33s] 15368 ab:aba=bb,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15368 ab:aba=bb,aaaabb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15369 solved: rounds:3,rules:2,peak:7,longest:10,steps:9,word:2,work:2018,nodes:38,pairs:22,completionMax:114us [09m33s] 15369 ab:aba=bb,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa a/b - - ab:aaaaaaa=1,b=aa [09m33s] from: 15369 ab:aba=bb,aaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b4;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbb,b=b [09m33s] # 15370 solved: rounds:3,rules:3,peak:6,longest:12,steps:26,word:19,work:1585,nodes:34,pairs:15,completionMax:80us [09m33s] 15370 ab:aba=bb,aaabab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 15370 ab:aba=bb,aaabab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 15371 solved: rounds:3,rules:2,peak:11,longest:13,steps:6,word:10,work:3303,nodes:56,pairs:54,completionMax:213us [09m33s] 15371 ab:aba=bb,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15371 ab:aba=bb,aaabba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15372 solved: rounds:4,rules:5,peak:23,longest:33,steps:22,word:21,work:120021,nodes:184,pairs:554,completionMax:10939us [09m33s] 15372 ab:aba=bb,aaabbb=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,aaab=baaa,bb=aba,bab=aaaaaaaaaaaaaa,baab=aabaaaaaaaaaaa [09m33s] # 15373 solved: rounds:3,rules:2,peak:9,longest:9,steps:3,word:2,work:1785,nodes:42,pairs:75,completionMax:232us [09m33s] 15373 ab:aba=bb,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15373 ab:aba=bb,aabaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15374 solved: rounds:3,rules:3,peak:5,longest:16,steps:16,word:12,work:1174,nodes:60,pairs:20,completionMax:91us [09m33s] 15374 ab:aba=bb,aababa=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 15374 ab:aba=bb,aababa=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 15375 solved: rounds:4,rules:2,peak:7,longest:13,steps:18,word:2,work:2240,nodes:44,pairs:22,completionMax:148us [09m33s] 15375 ab:aba=bb,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15375 ab:aba=bb,aababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15376 solved: rounds:3,rules:2,peak:8,longest:13,steps:11,word:3,work:2120,nodes:44,pairs:20,completionMax:166us [09m33s] 15376 ab:aba=bb,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15376 ab:aba=bb,aabbaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15377 solved: rounds:3,rules:2,peak:11,longest:10,steps:11,word:2,work:4806,nodes:44,pairs:47,completionMax:203us [09m33s] 15377 ab:aba=bb,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15377 ab:aba=bb,aabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15378 solved: rounds:5,rules:5,peak:17,longest:21,steps:24,word:21,work:34663,nodes:124,pairs:100,completionMax:1157us [09m33s] 15378 ab:aba=bb,aabbba=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,aaab=baaa,bb=aba,bab=aaaaaaaaaaaaaa,baab=aabaaaaaaaaaaa [09m33s] from: 15378 ab:aba=bb,aabbba=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa to: 15372 ab:aba=bb,aaabbb=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa a=a,b=b [09m33s] # 15379 solved: rounds:5,rules:2,peak:13,longest:13,steps:19,word:12,work:16737,nodes:60,pairs:77,completionMax:786us [09m33s] 15379 ab:aba=bb,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15379 ab:aba=bb,aabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15380 solved: rounds:4,rules:3,peak:8,longest:13,steps:25,word:19,work:2208,nodes:48,pairs:25,completionMax:147us [09m33s] 15380 ab:aba=bb,abaaab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,ba=abbbbb,aa=bbbbbbbbb [09m33s] from: 15380 ab:aba=bb,abaaab=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=a,b=b [09m33s] # 15381 solved: rounds:3,rules:2,peak:7,longest:10,steps:5,word:3,work:904,nodes:40,pairs:18,completionMax:139us [09m33s] 15381 ab:aba=bb,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15381 ab:aba=bb,abaaba=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15382 solved: rounds:3,rules:2,peak:7,longest:12,steps:11,word:3,work:2219,nodes:46,pairs:26,completionMax:126us [09m33s] 15382 ab:aba=bb,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15382 ab:aba=bb,abaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15383 solved: rounds:3,rules:2,peak:12,longest:11,steps:19,word:3,work:9279,nodes:74,pairs:47,completionMax:366us [09m33s] 15383 ab:aba=bb,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15383 ab:aba=bb,ababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15384 solved: rounds:3,rules:2,peak:6,longest:12,steps:12,word:2,work:843,nodes:40,pairs:17,completionMax:90us [09m33s] 15384 ab:aba=bb,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15384 ab:aba=bb,ababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15385 solved: rounds:3,rules:2,peak:12,longest:12,steps:20,word:3,work:10109,nodes:60,pairs:47,completionMax:375us [09m33s] 15385 ab:aba=bb,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15385 ab:aba=bb,ababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15386 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:2,work:136,nodes:22,pairs:8,completionMax:42us [09m33s] 15386 ab:aba=bb,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15386 ab:aba=bb,abbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15387 solved: rounds:4,rules:3,peak:7,longest:15,steps:25,word:20,work:1756,nodes:34,pairs:26,completionMax:124us [09m33s] 15387 ab:aba=bb,abbabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbbbbb [09m33s] # 15388 solved: rounds:3,rules:2,peak:12,longest:10,steps:7,word:3,work:3150,nodes:66,pairs:89,completionMax:854us [09m33s] 15388 ab:aba=bb,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15388 ab:aba=bb,abbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15389 solved: rounds:3,rules:2,peak:8,longest:14,steps:18,word:3,work:2997,nodes:56,pairs:18,completionMax:201us [09m33s] 15389 ab:aba=bb,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15389 ab:aba=bb,abbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15390 solved: rounds:4,rules:2,peak:6,longest:11,steps:20,word:2,work:3029,nodes:42,pairs:25,completionMax:185us [09m33s] 15390 ab:aba=bb,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15390 ab:aba=bb,abbbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15391 solved: rounds:4,rules:2,peak:6,longest:8,steps:10,word:2,work:930,nodes:36,pairs:19,completionMax:116us [09m33s] 15391 ab:aba=bb,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [09m33s] from: 15391 ab:aba=bb,baaaab=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [09m33s] # 15392 solved: rounds:4,rules:5,peak:14,longest:21,steps:14,word:11,work:13932,nodes:128,pairs:57,completionMax:719us [09m33s] 15392 ab:aba=bb,baaabb=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=1,aaab=baaa,bb=aba,bab=aaaaaaaaaaaaaa,baab=aabaaaaaaaaaaa [09m33s] from: 15392 ab:aba=bb,baaabb=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa to: 15372 ab:aba=bb,aaabbb=1 finite:72;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaa,b-abaaaa a=a,b=b [09m33s] # 15393 solved: rounds:4,rules:2,peak:7,longest:9,steps:11,word:2,work:3035,nodes:34,pairs:28,completionMax:110us [09m33s] 15393 ab:aba=bb,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [09m33s] from: 15393 ab:aba=bb,baabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [09m33s] # 15394 solved: rounds:4,rules:2,peak:12,longest:10,steps:12,word:2,work:5628,nodes:46,pairs:43,completionMax:290us [09m33s] 15394 ab:aba=bb,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15394 ab:aba=bb,baabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15395 solved: rounds:2,rules:2,peak:6,longest:10,steps:5,word:3,work:873,nodes:44,pairs:23,completionMax:120us [09m33s] 15395 ab:aba=bb,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15395 ab:aba=bb,bababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15396 solved: rounds:2,rules:3,peak:8,longest:15,steps:7,word:10,work:1796,nodes:42,pairs:16,completionMax:125us [09m33s] 15396 ab:aba=bb,babbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbbbbb [09m33s] from: 15396 ab:aba=bb,babbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbb,b-bbbbbbbbbbbbbb to: 15387 ab:aba=bb,abbabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 15397 solved: rounds:3,rules:2,peak:7,longest:12,steps:19,word:3,work:2619,nodes:38,pairs:28,completionMax:135us [09m33s] 15397 ab:aba=bb,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15397 ab:aba=bb,babbbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15398 solved: rounds:3,rules:2,peak:13,longest:12,steps:11,word:3,work:4211,nodes:76,pairs:53,completionMax:330us [09m33s] 15398 ab:aba=bb,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [09m33s] from: 15398 ab:aba=bb,bbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [09m33s] # 15399 solved: rounds:3,rules:2,peak:16,longest:11,steps:7,word:3,work:6835,nodes:76,pairs:138,completionMax:1145us [09m33s] 15399 ab:aba=bb,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [09m33s] from: 15399 ab:aba=bb,bbabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [09m33s] # 15400 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:57,nodes:16,pairs:1,completionMax:16us [09m33s] 15400 ab:aba=bb,bbbbbb=1 infinite;group:a-babbbb,b-bbbbb ab - - ab:aba=bb,bbba=abbb,bbbbbb=1 [09m33s] # 15401 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:0,work:57,nodes:6,pairs:0,completionMax:6us [09m33s] 15401 ab:aaa=aa,aaaaa=a infinite ab - - ab:aa=a [09m33s] from: 15401 ab:aaa=aa,aaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [09m33s] # 15402 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:27,nodes:6,pairs:0,completionMax:4us [09m33s] 15402 ab:aaa=aa,aaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 15402 ab:aaa=aa,aaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 15403 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:70,nodes:6,pairs:4,completionMax:10us [09m33s] 15403 ab:aaa=aa,aaaab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15403 ab:aaa=aa,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15404 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:44,nodes:6,pairs:1,completionMax:7us [09m33s] 15404 ab:aaa=aa,aaaab=b infinite ab - - ab:ab=b,aaa=aa [09m33s] from: 15404 ab:aaa=aa,aaaab=b infinite to: 1577 ab:aaa=aa,aab=b infinite a=a,b=b [09m33s] # 15405 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:104,nodes:8,pairs:5,completionMax:16us [09m33s] 15405 ab:aaa=aa,aaaba=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 15405 ab:aaa=aa,aaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 15406 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:165,nodes:14,pairs:6,completionMax:31us [09m33s] 15406 ab:aaa=aa,aaaba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b,aaa=aa [09m33s] from: 15406 ab:aaa=aa,aaaba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 1579 ab:aaa=aa,aba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [09m33s] # 15407 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:71,nodes:8,pairs:4,completionMax:19us [09m33s] 15407 ab:aaa=aa,aaabb=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 15407 ab:aaa=aa,aaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 15408 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:57,nodes:8,pairs:3,completionMax:13us [09m33s] 15408 ab:aaa=aa,aaabb=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [09m33s] from: 15408 ab:aaa=aa,aaabb=b finite:6;idempotents:1,b,aa,ba,baa to: 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa a=a,b=b [09m33s] # 15409 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:136,nodes:10,pairs:8,completionMax:38us [09m33s] 15409 ab:aaa=aa,aabaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 15409 ab:aaa=aa,aabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 15410 solved: rounds:1,rules:3,peak:4,longest:5,steps:3,word:0,work:128,nodes:12,pairs:6,completionMax:28us [09m33s] 15410 ab:aaa=aa,aabaa=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b,aaa=aa [09m33s] from: 15410 ab:aaa=aa,aabaa=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 1579 ab:aaa=aa,aba=b infinite;commutative:ab:ab=b,a3=a2;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [09m33s] # 15411 solved: rounds:4,rules:3,peak:3,longest:5,steps:2,word:0,work:123,nodes:10,pairs:9,completionMax:41us [09m33s] 15411 ab:aaa=aa,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15411 ab:aaa=aa,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15412 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:66,nodes:10,pairs:4,completionMax:13us [09m33s] 15412 ab:aaa=aa,aabab=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [09m33s] from: 15412 ab:aaa=aa,aabab=b finite:6;idempotents:1,b,aa,ba,baa to: 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa a=a,b=b [09m33s] # 15413 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:112,nodes:10,pairs:5,completionMax:12us [09m33s] 15413 ab:aaa=aa,aabba=a infinite ab - - ab:aa=a,abba=a [09m33s] from: 15413 ab:aaa=aa,aabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [09m33s] # 15414 solved: rounds:2,rules:4,peak:6,longest:5,steps:4,word:0,work:257,nodes:18,pairs:10,completionMax:32us [09m33s] 15414 ab:aaa=aa,aabba=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b,aaa=aa [09m33s] from: 15414 ab:aaa=aa,aabba=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: to: 5033 ab:aaa=aa,abba=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [09m33s] # 15415 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:72,nodes:10,pairs:4,completionMax:16us [09m33s] 15415 ab:aaa=aa,aabbb=a infinite ab - - ab:aa=a,abbb=a [09m33s] from: 15415 ab:aaa=aa,aabbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [09m33s] # 15416 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:59,nodes:10,pairs:3,completionMax:8us [09m33s] 15416 ab:aaa=aa,aabbb=b finite:9;idempotents:1,aa,bb,bba,bbaa ab - - ab:ab=b,aaa=aa,bbb=b [09m33s] from: 15416 ab:aaa=aa,aabbb=b finite:9;idempotents:1,aa,bb,bba,bbaa to: 5035 ab:aaa=aa,abbb=b finite:9;idempotents:1,aa,bb,bba,bbaa a=a,b=b [09m33s] # 15417 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:616,nodes:16,pairs:31,completionMax:71us [09m33s] 15417 ab:aaa=aa,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15417 ab:aaa=aa,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15418 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:176,nodes:12,pairs:7,completionMax:23us [09m33s] 15418 ab:aaa=aa,abaab=b finite:6;idempotents:1,b,aa,ba,baa ab - - ab:ab=b,bb=b,aaa=aa [09m33s] from: 15418 ab:aaa=aa,abaab=b finite:6;idempotents:1,b,aa,ba,baa to: 1581 ab:aaa=aa,abb=b finite:6;idempotents:1,b,aa,ba,baa a=a,b=b [09m33s] # 15419 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:45,nodes:12,pairs:0,completionMax:5us [09m33s] 15419 ab:aaa=aa,ababa=a infinite ab - - ab:aaa=aa,ababa=a [09m33s] # 15420 solved: rounds:3,rules:4,peak:7,longest:5,steps:3,word:0,work:294,nodes:18,pairs:14,completionMax:45us [09m33s] 15420 ab:aaa=aa,ababa=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b,aaa=aa [09m33s] from: 15420 ab:aaa=aa,ababa=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: to: 5033 ab:aaa=aa,abba=b finite:4;idempotents:1,b,aa;center:1,a,b,aa;commutative:ab:b2=b,ab=b,a3=a2;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [09m33s] # 15421 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:12,pairs:0,completionMax:3us [09m33s] 15421 ab:aaa=aa,ababb=a infinite ab - - ab:aaa=aa,ababb=a [09m33s] # 15422 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:76,nodes:12,pairs:4,completionMax:13us [09m33s] 15422 ab:aaa=aa,ababb=b finite:9;idempotents:1,aa,bb,bba,bbaa ab - - ab:ab=b,aaa=aa,bbb=b [09m33s] from: 15422 ab:aaa=aa,ababb=b finite:9;idempotents:1,aa,bb,bba,bbaa to: 5035 ab:aaa=aa,abbb=b finite:9;idempotents:1,aa,bb,bba,bbaa a=a,b=b [09m33s] # 15423 solved: rounds:5,rules:4,peak:8,longest:6,steps:6,word:0,work:1780,nodes:22,pairs:24,completionMax:117us [09m33s] 15423 ab:aaa=aa,abbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15423 ab:aaa=aa,abbab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15424 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:195,nodes:18,pairs:7,completionMax:24us [09m33s] 15424 ab:aaa=aa,abbab=b finite:9;idempotents:1,aa,bb,bba,bbaa ab - - ab:ab=b,aaa=aa,bbb=b [09m33s] from: 15424 ab:aaa=aa,abbab=b finite:9;idempotents:1,aa,bb,bba,bbaa to: 5035 ab:aaa=aa,abbb=b finite:9;idempotents:1,aa,bb,bba,bbaa a=a,b=b [09m33s] # 15425 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:45,nodes:12,pairs:0,completionMax:3us [09m33s] 15425 ab:aaa=aa,abbba=a infinite ab - - ab:aaa=aa,abbba=a [09m33s] # 15426 solved: rounds:3,rules:4,peak:7,longest:5,steps:3,word:0,work:277,nodes:22,pairs:11,completionMax:46us [09m33s] 15426 ab:aaa=aa,abbba=b finite:5;idempotents:1,aa,bb;center:1,a,b,aa,bb;commutative:ab:ab=b,b3=b,a3=a2;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,aaa=aa,bbb=b [09m33s] # 15427 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:12,pairs:0,completionMax:3us [09m33s] 15427 ab:aaa=aa,abbbb=a infinite ab - - ab:aaa=aa,abbbb=a [09m33s] # 15428 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:71,nodes:12,pairs:3,completionMax:15us [09m33s] 15428 ab:aaa=aa,abbbb=b finite:12;idempotents:1,aa,bbb,bbba,bbbaa ab - - ab:ab=b,aaa=aa,bbbb=b [09m33s] # 15429 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:0,work:310,nodes:12,pairs:23,completionMax:48us [09m33s] 15429 ab:aaa=aa,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15429 ab:aaa=aa,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15430 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:12,pairs:0,completionMax:3us [09m33s] 15430 ab:aaa=aa,baaab=b infinite ab - - ab:aaa=aa,baab=b [09m33s] from: 15430 ab:aaa=aa,baaab=b infinite to: 5037 ab:aaa=aa,baab=b infinite a=a,b=b [09m33s] # 15431 solved: rounds:5,rules:3,peak:10,longest:7,steps:10,word:5,work:1797,nodes:28,pairs:29,completionMax:139us [09m33s] 15431 ab:aaa=aa,baabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [09m33s] from: 15431 ab:aaa=aa,baabb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [09m33s] # 15432 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:14,pairs:0,completionMax:3us [09m33s] 15432 ab:aaa=aa,baabb=b infinite ab - - ab:aaa=aa,baabb=b [09m33s] # 15433 solved: rounds:3,rules:6,peak:7,longest:6,steps:5,word:0,work:795,nodes:22,pairs:12,completionMax:60us [09m33s] 15433 ab:aaa=aa,babab=a infinite ab - - ab:aaa=aa,baa=aab,aaba=aab,aabba=aabb,aabbb=aa,babab=a [09m33s] # 15434 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:14,pairs:0,completionMax:3us [09m33s] 15434 ab:aaa=aa,babab=b infinite ab - - ab:aaa=aa,babab=b [09m33s] # 15435 solved: rounds:6,rules:15,peak:22,longest:9,steps:7,word:1,work:16672,nodes:88,pairs:68,completionMax:545us [09m33s] 15435 ab:aaa=aa,babbb=a infinite reversed:a/b - - ab:aaa=aa,abaa=baa,ababa=baba,baaba=baba,abbaa=bbaa,babba=aabbb,baabba=aabbb,abbaba=bbaba,bbbaa=aabbba,babbb=a,baabbba=aa,bbbaba=aabbbba,aabbbbba=bbaabbb,baabbbba=aaba,aabbbbbb=baba [09m33s] # 15436 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:14,pairs:0,completionMax:8us [09m33s] 15436 ab:aaa=aa,babbb=b infinite ab - - ab:aaa=aa,babbb=b [09m33s] 15437 ab:aaa=aa,bbabb=a hard definitely-infinite [09m33s] # 15438 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:189,nodes:18,pairs:5,completionMax:23us [09m33s] 15438 ab:aaa=aa,bbabb=b infinite ab - - ab:aaa=aa,bbab=babb,babbb=b [09m33s] # 15439 solved: rounds:1,rules:2,peak:2,longest:15,steps:4,word:16,work:641,nodes:30,pairs:3,completionMax:32us [09m33s] 15439 ab:aaa=aa,bbbbb=a finite:15;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b10,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbbbbbbbb,bbbbbbbbbbbb;smith:5 b/a - - ab:bbbbbbbbbbbbbbb=bbbbbbbbbb,a=bbbbb [09m33s] # 15440 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:14,pairs:0,completionMax:16us [09m33s] 15440 ab:aaa=aa,bbbbb=b infinite ab - - ab:aaa=aa,bbbbb=b [09m33s] # 15441 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:17,nodes:10,pairs:0,completionMax:3us [09m33s] 15441 ab:aaa=ab,aaaaa=a infinite a/b - - ab:aaaaa=a,ab=aaa [09m33s] from: 15441 ab:aaa=ab,aaaaa=a infinite to: 1590 ab:aaa=ab,abb=a infinite a=a,b=b [09m33s] # 15442 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:12,pairs:1,completionMax:8us [09m33s] 15442 ab:aaa=ab,aaaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaaaa [09m33s] from: 15442 ab:aaa=ab,aaaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a5;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbbbb [09m33s] # 15443 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:25,nodes:12,pairs:0,completionMax:4us [09m33s] 15443 ab:aaa=ab,aaaab=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 15443 ab:aaa=ab,aaaab=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 15444 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:1,work:47,nodes:14,pairs:1,completionMax:9us [09m33s] 15444 ab:aaa=ab,aaaab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [09m33s] from: 15444 ab:aaa=ab,aaaab=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [09m33s] # 15445 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:24,nodes:12,pairs:0,completionMax:4us [09m33s] 15445 ab:aaa=ab,aaaba=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 15445 ab:aaa=ab,aaaba=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 15446 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:1,work:46,nodes:14,pairs:1,completionMax:7us [09m33s] 15446 ab:aaa=ab,aaaba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [09m33s] from: 15446 ab:aaa=ab,aaaba=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [09m33s] # 15447 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:33,nodes:14,pairs:0,completionMax:7us [09m33s] 15447 ab:aaa=ab,aaabb=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15447 ab:aaa=ab,aaabb=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15448 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:1,completionMax:9us [09m33s] 15448 ab:aaa=ab,aaabb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15448 ab:aaa=ab,aaabb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15449 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:23,nodes:12,pairs:0,completionMax:6us [09m33s] 15449 ab:aaa=ab,aabaa=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 15449 ab:aaa=ab,aabaa=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 15450 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:1,work:45,nodes:14,pairs:1,completionMax:7us [09m33s] 15450 ab:aaa=ab,aabaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [09m33s] from: 15450 ab:aaa=ab,aabaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [09m33s] # 15451 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:32,nodes:14,pairs:0,completionMax:7us [09m33s] 15451 ab:aaa=ab,aabab=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15451 ab:aaa=ab,aabab=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15452 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:57,nodes:16,pairs:1,completionMax:8us [09m33s] 15452 ab:aaa=ab,aabab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15452 ab:aaa=ab,aabab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15453 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:31,nodes:14,pairs:0,completionMax:4us [09m33s] 15453 ab:aaa=ab,aabba=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15453 ab:aaa=ab,aabba=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15454 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:56,nodes:16,pairs:1,completionMax:6us [09m33s] 15454 ab:aaa=ab,aabba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15454 ab:aaa=ab,aabba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15455 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:41,nodes:16,pairs:0,completionMax:7us [09m33s] 15455 ab:aaa=ab,aabbb=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa [09m33s] # 15456 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:3,work:69,nodes:18,pairs:1,completionMax:9us [09m33s] 15456 ab:aaa=ab,aabbb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaaaaaa [09m33s] from: 15456 ab:aaa=ab,aabbb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbbbbbb [09m33s] # 15457 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:22,nodes:12,pairs:0,completionMax:5us [09m33s] 15457 ab:aaa=ab,abaaa=a infinite a/b - - ab:aaaaaa=a,ab=aaa [09m33s] from: 15457 ab:aaa=ab,abaaa=a infinite to: 5048 ab:aaa=ab,aabb=a infinite a=a,b=b [09m33s] # 15458 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:1,work:44,nodes:14,pairs:1,completionMax:8us [09m33s] 15458 ab:aaa=ab,abaaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aaaaaa [09m33s] from: 15458 ab:aaa=ab,abaaa=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a6;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aaaaaa [09m33s] # 15459 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:31,nodes:14,pairs:0,completionMax:5us [09m33s] 15459 ab:aaa=ab,abaab=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15459 ab:aaa=ab,abaab=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15460 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:56,nodes:16,pairs:1,completionMax:8us [09m33s] 15460 ab:aaa=ab,abaab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15460 ab:aaa=ab,abaab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15461 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:30,nodes:14,pairs:0,completionMax:6us [09m33s] 15461 ab:aaa=ab,ababa=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15461 ab:aaa=ab,ababa=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15462 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:55,nodes:16,pairs:1,completionMax:7us [09m33s] 15462 ab:aaa=ab,ababa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15462 ab:aaa=ab,ababa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15463 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:40,nodes:16,pairs:0,completionMax:8us [09m33s] 15463 ab:aaa=ab,ababb=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa [09m33s] from: 15463 ab:aaa=ab,ababb=a infinite to: 15455 ab:aaa=ab,aabbb=a infinite a=a,b=b [09m33s] # 15464 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:3,work:68,nodes:18,pairs:1,completionMax:10us [09m33s] 15464 ab:aaa=ab,ababb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaaaaaa [09m33s] from: 15464 ab:aaa=ab,ababb=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbbbbbb [09m33s] # 15465 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:29,nodes:14,pairs:0,completionMax:5us [09m33s] 15465 ab:aaa=ab,abbaa=a infinite a/b - - ab:aaaaaaa=a,ab=aaa [09m33s] from: 15465 ab:aaa=ab,abbaa=a infinite to: 5056 ab:aaa=ab,abbb=a infinite a=a,b=b [09m33s] # 15466 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:2,work:54,nodes:16,pairs:1,completionMax:7us [09m33s] 15466 ab:aaa=ab,abbaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15466 ab:aaa=ab,abbaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a7;saturation:a:a5=1;noncancellative:aa,aaaaaaa,aaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaaaaaa [09m33s] # 15467 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:39,nodes:16,pairs:0,completionMax:7us [09m33s] 15467 ab:aaa=ab,abbab=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa [09m33s] from: 15467 ab:aaa=ab,abbab=a infinite to: 15455 ab:aaa=ab,aabbb=a infinite a=a,b=b [09m33s] # 15468 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:3,work:67,nodes:18,pairs:1,completionMax:8us [09m33s] 15468 ab:aaa=ab,abbab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaaaaaa [09m33s] from: 15468 ab:aaa=ab,abbab=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbbbbbb [09m33s] # 15469 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:38,nodes:16,pairs:0,completionMax:6us [09m33s] 15469 ab:aaa=ab,abbba=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa [09m33s] from: 15469 ab:aaa=ab,abbba=a infinite to: 15455 ab:aaa=ab,aabbb=a infinite a=a,b=b [09m33s] # 15470 solved: rounds:1,rules:2,peak:2,longest:9,steps:3,word:3,work:66,nodes:18,pairs:1,completionMax:8us [09m33s] 15470 ab:aaa=ab,abbba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aaaaaaaa [09m33s] from: 15470 ab:aaa=ab,abbba=b finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a8;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaa,aaaaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bbbbbbbb [09m33s] # 15471 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:49,nodes:18,pairs:0,completionMax:8us [09m33s] 15471 ab:aaa=ab,abbbb=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaa [09m33s] # 15472 solved: rounds:1,rules:2,peak:2,longest:10,steps:4,word:4,work:80,nodes:20,pairs:1,completionMax:12us [09m33s] 15472 ab:aaa=ab,abbbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a9;saturation:a:a7=1;noncancellative:aa,aaaaaaaaa,aaa,aaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaaaaaaaa [09m33s] from: 15472 ab:aaa=ab,abbbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a9;saturation:a:a7=1;noncancellative:aa,aaaaaaaaa,aaa,aaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaaaaaaa [09m33s] # 15473 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:229,nodes:22,pairs:6,completionMax:48us [09m33s] 15473 ab:aaa=ab,baaaa=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15473 ab:aaa=ab,baaaa=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 to: 5060 ab:aaa=ab,baab=a infinite;commutative:ab:a6=a,ab=a3;saturation:a:a5=1;noncancellative:aa,b,aaa,aaaaa;smith:5 a=a,b=b [09m33s] # 15474 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:1,work:119,nodes:22,pairs:2,completionMax:17us [09m33s] 15474 ab:aaa=ab,baaaa=b finite:11;idempotents:1,baa,aaaa a/b - - ab:aaaaaaa=aaa,baaaa=b,ab=aaa,bb=baa [09m33s] from: 15474 ab:aaa=ab,baaaa=b finite:11;idempotents:1,baa,aaaa to: 5061 ab:aaa=ab,baab=b finite:11;idempotents:1,baa,aaaa a=a,b=b [09m33s] # 15475 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:1,work:256,nodes:26,pairs:7,completionMax:61us [09m33s] 15475 ab:aaa=ab,baaab=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15475 ab:aaa=ab,baaab=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15476 solved: rounds:1,rules:4,peak:4,longest:8,steps:1,word:1,work:129,nodes:26,pairs:2,completionMax:28us [09m33s] 15476 ab:aaa=ab,baaab=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 15476 ab:aaa=ab,baaab=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 15477 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:1,work:255,nodes:26,pairs:7,completionMax:50us [09m33s] 15477 ab:aaa=ab,baaba=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15477 ab:aaa=ab,baaba=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15478 solved: rounds:1,rules:4,peak:4,longest:8,steps:1,word:1,work:128,nodes:26,pairs:2,completionMax:17us [09m33s] 15478 ab:aaa=ab,baaba=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 15478 ab:aaa=ab,baaba=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 15479 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:295,nodes:30,pairs:8,completionMax:50us [09m33s] 15479 ab:aaa=ab,baabb=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 a/b - - ab:aaaaaaaa=a,ba=aaa,ab=aaa [09m33s] # 15480 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:2,work:149,nodes:30,pairs:2,completionMax:15us [09m33s] 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] # 15481 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:1,work:254,nodes:26,pairs:7,completionMax:37us [09m33s] 15481 ab:aaa=ab,babaa=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15481 ab:aaa=ab,babaa=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 5064 ab:aaa=ab,babb=a infinite;commutative:ab:a3=ab,ab3=a;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15482 solved: rounds:1,rules:4,peak:4,longest:8,steps:1,word:1,work:127,nodes:26,pairs:2,completionMax:13us [09m33s] 15482 ab:aaa=ab,babaa=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 15482 ab:aaa=ab,babaa=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 15483 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:294,nodes:30,pairs:8,completionMax:49us [09m33s] 15483 ab:aaa=ab,babab=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 a/b - - ab:aaaaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15483 ab:aaa=ab,babab=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 to: 15479 ab:aaa=ab,baabb=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 a=a,b=b [09m33s] # 15484 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:2,work:148,nodes:30,pairs:2,completionMax:23us [09m33s] 15484 ab:aaa=ab,babab=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] from: 15484 ab:aaa=ab,babab=b finite:15;idempotents:1,baaaa,aaaaaa to: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a=a,b=b [09m33s] # 15485 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:293,nodes:30,pairs:8,completionMax:53us [09m33s] 15485 ab:aaa=ab,babba=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 a/b - - ab:aaaaaaaa=a,ba=aaa,ab=aaa [09m33s] from: 15485 ab:aaa=ab,babba=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 to: 15479 ab:aaa=ab,baabb=a infinite;commutative:ab:a8=a,ab=a3;saturation:a:a7=1;noncancellative:aa,b,aaa,aaaaa;smith:7 a=a,b=b [09m33s] # 15486 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:2,work:147,nodes:30,pairs:2,completionMax:24us [09m33s] 15486 ab:aaa=ab,babba=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] from: 15486 ab:aaa=ab,babba=b finite:15;idempotents:1,baaaa,aaaaaa to: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a=a,b=b [09m33s] # 15487 solved: rounds:3,rules:3,peak:5,longest:10,steps:3,word:3,work:334,nodes:34,pairs:9,completionMax:67us [09m33s] 15487 ab:aaa=ab,babbb=a infinite;commutative:ab:a3=ab,ab4=a;saturation:a:a8=1;noncancellative:aa,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa [09m33s] # 15488 solved: rounds:5,rules:4,peak:10,longest:9,steps:3,word:3,work:1614,nodes:42,pairs:42,completionMax:180us [09m33s] 15488 ab:aaa=ab,babbb=b finite:17;idempotents:1,abbb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=ab [09m33s] # 15489 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:2,work:317,nodes:24,pairs:5,completionMax:43us [09m33s] 15489 ab:aaa=ab,bbaaa=a infinite a/b - - ab:aaaaaaa=a,ab=aaa,bba=aaaaa [09m33s] from: 15489 ab:aaa=ab,bbaaa=a infinite to: 5068 ab:aaa=ab,bbab=a infinite a=a,b=b [09m33s] # 15490 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:1,work:163,nodes:26,pairs:4,completionMax:33us [09m33s] 15490 ab:aaa=ab,bbaaa=b finite:13;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaa=aaa,baaaaa=b,ab=aaa,bb=baa [09m33s] from: 15490 ab:aaa=ab,bbaaa=b finite:13;idempotents:1,baaa,aaaaa to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=a,b=b [09m33s] # 15491 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:318,nodes:28,pairs:6,completionMax:53us [09m33s] 15491 ab:aaa=ab,bbaab=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa,bba=aaaaa [09m33s] # 15492 solved: rounds:2,rules:4,peak:4,longest:9,steps:1,word:1,work:188,nodes:30,pairs:4,completionMax:31us [09m33s] 15492 ab:aaa=ab,bbaab=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] from: 15492 ab:aaa=ab,bbaab=b finite:15;idempotents:1,baaaa,aaaaaa to: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a=a,b=b [09m33s] # 15493 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:2,work:317,nodes:28,pairs:6,completionMax:47us [09m33s] 15493 ab:aaa=ab,bbaba=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa,bba=aaaaa [09m33s] from: 15493 ab:aaa=ab,bbaba=a infinite to: 15491 ab:aaa=ab,bbaab=a infinite a=a,b=b [09m33s] # 15494 solved: rounds:2,rules:4,peak:4,longest:9,steps:1,word:1,work:187,nodes:30,pairs:4,completionMax:31us [09m33s] 15494 ab:aaa=ab,bbaba=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] from: 15494 ab:aaa=ab,bbaba=b finite:15;idempotents:1,baaaa,aaaaaa to: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a=a,b=b [09m33s] # 15495 solved: rounds:3,rules:3,peak:5,longest:10,steps:2,word:2,work:343,nodes:32,pairs:7,completionMax:55us [09m33s] 15495 ab:aaa=ab,bbabb=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaa,bba=aaaaa [09m33s] # 15496 solved: rounds:4,rules:4,peak:13,longest:9,steps:5,word:6,work:3186,nodes:52,pairs:24,completionMax:201us [09m33s] 15496 ab:aaa=ab,bbabb=b finite:17;idempotents:1,abbb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=ab [09m33s] from: 15496 ab:aaa=ab,bbabb=b finite:17;idempotents:1,abbb,bbbbbbb to: 15488 ab:aaa=ab,babbb=b finite:17;idempotents:1,abbb,bbbbbbb a=a,b=b [09m33s] # 15497 solved: rounds:3,rules:3,peak:4,longest:9,steps:3,word:3,work:261,nodes:26,pairs:3,completionMax:40us [09m33s] 15497 ab:aaa=ab,bbbaa=a infinite a/b - - ab:aaaaaaaa=a,ab=aaa,bbba=aaaaaaa [09m33s] # 15498 solved: rounds:2,rules:4,peak:4,longest:9,steps:2,word:2,work:211,nodes:30,pairs:5,completionMax:25us [09m33s] 15498 ab:aaa=ab,bbbaa=b finite:15;idempotents:1,baaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=aaa,bb=baa [09m33s] from: 15498 ab:aaa=ab,bbbaa=b finite:15;idempotents:1,baaaa,aaaaaa to: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa a=a,b=b [09m33s] # 15499 solved: rounds:3,rules:3,peak:5,longest:10,steps:3,word:3,work:422,nodes:30,pairs:5,completionMax:41us [09m33s] 15499 ab:aaa=ab,bbbab=a infinite a/b - - ab:aaaaaaaaa=a,ab=aaa,bbba=aaaaaaa [09m33s] # 15500 solved: rounds:4,rules:4,peak:10,longest:8,steps:3,word:6,work:1114,nodes:28,pairs:47,completionMax:122us [09m33s] 15500 ab:aaa=ab,bbbab=b finite:17;idempotents:1,abbb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=ab [09m33s] from: 15500 ab:aaa=ab,bbbab=b finite:17;idempotents:1,abbb,bbbbbbb to: 15488 ab:aaa=ab,babbb=b finite:17;idempotents:1,abbb,bbbbbbb a=a,b=b [09m33s] # 15501 solved: rounds:1,rules:3,peak:3,longest:10,steps:3,word:3,work:93,nodes:28,pairs:1,completionMax:13us [09m33s] 15501 ab:aaa=ab,bbbba=a infinite a/b - - ab:aaaaaaaaaa=aa,ab=aaa,bbbba=a [09m33s] # 15502 solved: rounds:3,rules:4,peak:6,longest:8,steps:2,word:3,work:417,nodes:22,pairs:17,completionMax:61us [09m33s] 15502 ab:aaa=ab,bbbba=b finite:17;idempotents:1,abbb,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=bbbbb,aab=abbbbb,aaa=ab [09m33s] from: 15502 ab:aaa=ab,bbbba=b finite:17;idempotents:1,abbb,bbbbbbb to: 15488 ab:aaa=ab,babbb=b finite:17;idempotents:1,abbb,bbbbbbb a=a,b=b [09m33s] # 15503 solved: rounds:1,rules:2,peak:2,longest:15,steps:3,word:12,work:302,nodes:30,pairs:3,completionMax:27us [09m33s] 15503 ab:aaa=ab,bbbbb=a finite:15;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b6,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbbbbbbb=bbbbbb,a=bbbbb [09m33s] # 15504 solved: rounds:1,rules:3,peak:3,longest:11,steps:4,word:4,work:121,nodes:30,pairs:1,completionMax:13us [09m33s] 15504 ab:aaa=ab,bbbbb=b finite:55;idempotents:1,bbbb,bbaaaa,baaaaaa,aaaaaaaa,bbbbaaaaaaaa,bbbaaaaaaaaaa a/b - - ab:aaaaaaaaaaa=aaa,ab=aaa,bbbbb=b [09m33s] # 15505 solved: rounds:2,rules:2,peak:6,longest:10,steps:2,word:10,work:482,nodes:20,pairs:23,completionMax:54us [09m33s] 15505 ab:aaa=bb,aaaaa=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 b/a - - ab:bbbbbbbbbb=bb,a=bbbbbb [09m33s] from: 15505 ab:aaa=bb,aaaaa=a finite:10;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b2,a=b6;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbbbb,bbbbbbb;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=aaaaaa,b=a [09m33s] # 15506 solved: rounds:1,rules:2,peak:2,longest:10,steps:1,word:4,work:82,nodes:20,pairs:2,completionMax:10us [09m33s] 15506 ab:aaa=bb,aaaaa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaaaa [09m33s] from: 15506 ab:aaa=bb,aaaaa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a5;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaaaaa,aaaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaaaa [09m33s] # 15507 solved: rounds:2,rules:4,peak:5,longest:10,steps:2,word:5,work:224,nodes:26,pairs:8,completionMax:31us [09m33s] 15507 ab:aaa=bb,aaaab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaa [09m33s] from: 15507 ab:aaa=bb,aaaab=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 15508 solved: rounds:5,rules:4,peak:8,longest:13,steps:7,word:10,work:1301,nodes:40,pairs:18,completionMax:99us [09m33s] 15508 ab:aaa=bb,aaaab=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aaa=bb [09m33s] from: 15508 ab:aaa=bb,aaaab=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 to: 5087 ab:aaa=bb,abbb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 a=a,b=b [09m33s] # 15509 solved: rounds:3,rules:4,peak:6,longest:10,steps:3,word:5,work:447,nodes:26,pairs:9,completionMax:44us [09m33s] 15509 ab:aaa=bb,aaaba=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaa [09m33s] from: 15509 ab:aaa=bb,aaaba=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 15510 solved: rounds:4,rules:4,peak:6,longest:9,steps:8,word:10,work:956,nodes:26,pairs:15,completionMax:72us [09m33s] 15510 ab:aaa=bb,aaaba=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aaa=bb [09m33s] from: 15510 ab:aaa=bb,aaaba=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 to: 5087 ab:aaa=bb,abbb=b finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a3=b2,ab3=b,b5=a2b;saturation:a:a8=1;noncancellative:abb,1,ab,ab;smith:8 a=a,b=b [09m33s] # 15511 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:125,nodes:24,pairs:3,completionMax:17us [09m33s] 15511 ab:aaa=bb,aaabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbb [09m33s] from: 15511 ab:aaa=bb,aaabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbb,b=b [09m33s] # 15512 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:102,nodes:24,pairs:2,completionMax:15us [09m33s] 15512 ab:aaa=bb,aaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [09m33s] from: 15512 ab:aaa=bb,aaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [09m33s] # 15513 solved: rounds:3,rules:4,peak:10,longest:10,steps:3,word:5,work:2237,nodes:36,pairs:41,completionMax:170us [09m33s] 15513 ab:aaa=bb,aabaa=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a/b - - ab:aaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aaa [09m33s] from: 15513 ab:aaa=bb,aabaa=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=a,b=b [09m33s] # 15514 solved: rounds:4,rules:4,peak:5,longest:15,steps:20,word:12,work:911,nodes:54,pairs:9,completionMax:79us [09m33s] 15514 ab:aaa=bb,aabaa=b finite:27;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=aaa,baaaaaaaaaaaa=b,ab=baaaaa,bb=aaa [09m33s] # 15515 solved: rounds:3,rules:3,peak:8,longest:17,steps:12,word:25,work:4180,nodes:72,pairs:32,completionMax:255us [09m33s] 15515 ab:aaa=bb,aabab=a finite:32;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=baaaaaaaaaaa,bb=aaa [09m33s] # 15516 solved: rounds:3,rules:2,peak:8,longest:12,steps:5,word:6,work:1631,nodes:38,pairs:31,completionMax:107us [09m33s] 15516 ab:aaa=bb,aabab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [09m33s] from: 15516 ab:aaa=bb,aabab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [09m33s] # 15517 solved: rounds:3,rules:2,peak:5,longest:12,steps:8,word:6,work:707,nodes:28,pairs:11,completionMax:47us [09m33s] 15517 ab:aaa=bb,aabba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbb [09m33s] from: 15517 ab:aaa=bb,aabba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbb,b=b [09m33s] # 15518 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:101,nodes:24,pairs:2,completionMax:13us [09m33s] 15518 ab:aaa=bb,aabba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [09m33s] from: 15518 ab:aaa=bb,aabba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [09m33s] # 15519 solved: rounds:2,rules:2,peak:5,longest:13,steps:7,word:14,work:622,nodes:36,pairs:12,completionMax:64us [09m33s] 15519 ab:aaa=bb,aabbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15519 ab:aaa=bb,aabbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15520 solved: rounds:2,rules:4,peak:5,longest:11,steps:3,word:6,work:211,nodes:26,pairs:8,completionMax:43us [09m33s] 15520 ab:aaa=bb,aabbb=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bb [09m33s] # 15521 solved: rounds:2,rules:2,peak:7,longest:13,steps:11,word:6,work:1215,nodes:42,pairs:17,completionMax:81us [09m33s] 15521 ab:aaa=bb,abaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbb [09m33s] from: 15521 ab:aaa=bb,abaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbb,b=b [09m33s] # 15522 solved: rounds:3,rules:2,peak:11,longest:17,steps:12,word:10,work:5011,nodes:56,pairs:44,completionMax:261us [09m33s] 15522 ab:aaa=bb,abaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [09m33s] from: 15522 ab:aaa=bb,abaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [09m33s] # 15523 solved: rounds:4,rules:5,peak:8,longest:18,steps:10,word:20,work:4203,nodes:46,pairs:40,completionMax:299us [09m33s] 15523 ab:aaa=bb,ababa=a infinite a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,abaaa=baaaaaaaaaaaaaa,aaab=baaa,bb=aaa,ababa=a [09m33s] # 15524 solved: rounds:4,rules:6,peak:6,longest:21,steps:7,word:14,work:2383,nodes:78,pairs:16,completionMax:108us [09m33s] 15524 ab:aaa=bb,ababa=b finite:75;idempotents:1,aaaaaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=aaa,baaaaaaaaaaaaaaaaaa=b,aaab=baaa,bb=aaa,bab=aabaaaaaaaaaaaaaa,baab=abaaaaaaa [09m33s] # 15525 solved: rounds:4,rules:2,peak:12,longest:17,steps:18,word:14,work:5101,nodes:62,pairs:25,completionMax:269us [09m33s] 15525 ab:aaa=bb,ababb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15525 ab:aaa=bb,ababb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15526 solved: rounds:3,rules:4,peak:7,longest:18,steps:14,word:15,work:2833,nodes:74,pairs:11,completionMax:175us [09m33s] 15526 ab:aaa=bb,ababb=b finite:33;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,baaaaaaaaaaaaaaa=b,ab=baaaaaaaaaaa,bb=aaa [09m33s] # 15527 solved: rounds:3,rules:2,peak:10,longest:20,steps:18,word:14,work:5765,nodes:60,pairs:19,completionMax:200us [09m33s] 15527 ab:aaa=bb,abbab=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15527 ab:aaa=bb,abbab=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15528 solved: rounds:3,rules:4,peak:5,longest:11,steps:3,word:6,work:329,nodes:26,pairs:10,completionMax:40us [09m33s] 15528 ab:aaa=bb,abbab=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bb [09m33s] from: 15528 ab:aaa=bb,abbab=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 to: 15520 ab:aaa=bb,aabbb=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 a=a,b=b [09m33s] # 15529 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:14,work:2350,nodes:64,pairs:19,completionMax:184us [09m33s] 15529 ab:aaa=bb,abbba=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15529 ab:aaa=bb,abbba=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15530 solved: rounds:4,rules:4,peak:8,longest:18,steps:14,word:15,work:3871,nodes:68,pairs:12,completionMax:226us [09m33s] 15530 ab:aaa=bb,abbba=b finite:33;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,baaaaaaaaaaaaaaa=b,ab=baaaaaaaaaaa,bb=aaa [09m33s] from: 15530 ab:aaa=bb,abbba=b finite:33;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa to: 15526 ab:aaa=bb,ababb=b finite:33;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa a=a,b=b [09m33s] # 15531 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:146,nodes:22,pairs:3,completionMax:25us [09m33s] 15531 ab:aaa=bb,abbbb=a infinite ab - - ab:aaa=bb,bba=abb,abbbb=a,bbbbbb=bb [09m33s] # 15532 solved: rounds:1,rules:2,peak:2,longest:14,steps:2,word:6,work:121,nodes:28,pairs:2,completionMax:27us [09m33s] 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaaaaaa [09m33s] # 15533 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:126,nodes:24,pairs:3,completionMax:12us [09m33s] 15533 ab:aaa=bb,baaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbb [09m33s] from: 15533 ab:aaa=bb,baaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbb,b=b [09m33s] # 15534 solved: rounds:3,rules:2,peak:4,longest:12,steps:3,word:5,work:250,nodes:24,pairs:11,completionMax:41us [09m33s] 15534 ab:aaa=bb,baaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaaaaa [09m33s] from: 15534 ab:aaa=bb,baaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a6;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaaaaa [09m33s] # 15535 solved: rounds:3,rules:2,peak:11,longest:17,steps:7,word:14,work:3451,nodes:56,pairs:25,completionMax:201us [09m33s] 15535 ab:aaa=bb,baabb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15535 ab:aaa=bb,baabb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15536 solved: rounds:4,rules:4,peak:6,longest:13,steps:9,word:6,work:1020,nodes:54,pairs:21,completionMax:97us [09m33s] 15536 ab:aaa=bb,baabb=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bb [09m33s] from: 15536 ab:aaa=bb,baabb=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 to: 15520 ab:aaa=bb,aabbb=b finite:13;idempotents:1,bbbbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a3=b2,a2b3=b,b5=ab;saturation:a:a10=1;noncancellative:bbbb,a,ab,aab;smith:10 a=a,b=b [09m33s] # 15537 solved: rounds:4,rules:2,peak:9,longest:16,steps:7,word:14,work:2883,nodes:54,pairs:39,completionMax:235us [09m33s] 15537 ab:aaa=bb,babab=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 b/a - - ab:bbbbbbbbbbbbb=bb,a=bbbbbbbb [09m33s] from: 15537 ab:aaa=bb,babab=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b8;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbbbb,bbbbbbbbb;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=bbbbbbbb,b=b [09m33s] # 15538 solved: rounds:3,rules:5,peak:9,longest:26,steps:10,word:20,work:6246,nodes:96,pairs:33,completionMax:249us [09m33s] 15538 ab:aaa=bb,babab=b infinite a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,abaaa=baaaaaaaaaaaaaa,aaab=baaa,bb=aaa,babab=b [09m33s] # 15539 solved: rounds:2,rules:3,peak:6,longest:22,steps:13,word:18,work:1200,nodes:46,pairs:17,completionMax:78us [09m33s] 15539 ab:aaa=bb,babbb=a finite:14;idempotents:1,aaaaaa;center:1,a,b,aa,ba,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa,baaaaaa;commutative:ab:a7=a,b2=a3;saturation:ab:b3=a2,a4=1;noncancellative:aaaaaa,1,ab,ab;smith:12 a/b - - ab:aaaaaaa=a,ab=ba,bb=aaa [09m33s] # 15540 solved: rounds:3,rules:2,peak:6,longest:18,steps:3,word:17,work:901,nodes:34,pairs:22,completionMax:83us [09m33s] 15540 ab:aaa=bb,babbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15540 ab:aaa=bb,babbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaaaaaa [09m33s] # 15541 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:203,nodes:22,pairs:8,completionMax:50us [09m33s] 15541 ab:aaa=bb,bbabb=a infinite ab - - ab:aaa=bb,bba=abb,abbbb=a,bbbbbb=bb [09m33s] from: 15541 ab:aaa=bb,bbabb=a infinite to: 15531 ab:aaa=bb,abbbb=a infinite a=a,b=b [09m33s] # 15542 solved: rounds:1,rules:2,peak:2,longest:14,steps:2,word:6,work:120,nodes:28,pairs:2,completionMax:17us [09m33s] 15542 ab:aaa=bb,bbabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaaaaaa [09m33s] from: 15542 ab:aaa=bb,bbabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaaaaaa [09m33s] # 15543 solved: rounds:1,rules:2,peak:2,longest:15,steps:2,word:8,work:148,nodes:30,pairs:3,completionMax:17us [09m33s] 15543 ab:aaa=bb,bbbbb=a finite:15;idempotents:1,bbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b2,a=b5;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:13 b/a - - ab:bbbbbbbbbbbbbbb=bb,a=bbbbb [09m33s] # 15544 solved: rounds:2,rules:4,peak:4,longest:9,steps:3,word:2,work:316,nodes:30,pairs:3,completionMax:28us [09m33s] 15544 ab:aaa=bb,bbbbb=b infinite a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,aaab=baaa,bb=aaa [09m33s] # 15545 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:30,nodes:10,pairs:1,completionMax:8us [09m33s] 15545 ab:aab=aa,aaaaa=a infinite ab - - ab:ab=a,aaaaa=a [09m33s] from: 15545 ab:aab=aa,aaaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [09m33s] # 15546 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:28,nodes:14,pairs:1,completionMax:7us [09m33s] 15546 ab:aab=aa,aaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaa [09m33s] from: 15546 ab:aab=aa,aaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaa [09m33s] # 15547 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:1,completionMax:5us [09m33s] 15547 ab:aab=aa,aaaab=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 15547 ab:aab=aa,aaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 15548 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:12,pairs:1,completionMax:6us [09m33s] 15548 ab:aab=aa,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15548 ab:aab=aa,aaaab=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15549 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:1,completionMax:5us [09m33s] 15549 ab:aab=aa,aaaba=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 15549 ab:aab=aa,aaaba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 15550 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:28,nodes:12,pairs:1,completionMax:4us [09m33s] 15550 ab:aab=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15550 ab:aab=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15551 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:6,pairs:1,completionMax:8us [09m33s] 15551 ab:aab=aa,aaabb=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15551 ab:aab=aa,aaabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15552 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:10,pairs:1,completionMax:6us [09m33s] 15552 ab:aab=aa,aaabb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15552 ab:aab=aa,aaabb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15553 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:28,nodes:8,pairs:1,completionMax:7us [09m33s] 15553 ab:aab=aa,aabaa=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 15553 ab:aab=aa,aabaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 15554 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:27,nodes:12,pairs:1,completionMax:6us [09m33s] 15554 ab:aab=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15554 ab:aab=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15555 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:6,pairs:1,completionMax:5us [09m33s] 15555 ab:aab=aa,aabab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15555 ab:aab=aa,aabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15556 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:1,completionMax:6us [09m33s] 15556 ab:aab=aa,aabab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15556 ab:aab=aa,aabab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15557 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:6,pairs:1,completionMax:5us [09m33s] 15557 ab:aab=aa,aabba=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15557 ab:aab=aa,aabba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15558 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:26,nodes:10,pairs:1,completionMax:5us [09m33s] 15558 ab:aab=aa,aabba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15558 ab:aab=aa,aabba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15559 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:27,nodes:6,pairs:2,completionMax:5us [09m33s] 15559 ab:aab=aa,aabbb=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15559 ab:aab=aa,aabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15560 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:8,pairs:1,completionMax:6us [09m33s] 15560 ab:aab=aa,aabbb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [09m33s] from: 15560 ab:aab=aa,aabbb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [09m33s] # 15561 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:151,nodes:16,pairs:4,completionMax:26us [09m33s] 15561 ab:aab=aa,abaaa=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 15561 ab:aab=aa,abaaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 15562 solved: rounds:2,rules:2,peak:6,longest:9,steps:3,word:7,work:465,nodes:18,pairs:20,completionMax:56us [09m33s] 15562 ab:aab=aa,abaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15562 ab:aab=aa,abaaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15563 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:127,nodes:12,pairs:4,completionMax:19us [09m33s] 15563 ab:aab=aa,abaab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15563 ab:aab=aa,abaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15564 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:4,work:370,nodes:18,pairs:18,completionMax:49us [09m33s] 15564 ab:aab=aa,abaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15564 ab:aab=aa,abaab=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15565 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:77,nodes:14,pairs:1,completionMax:10us [09m33s] 15565 ab:aab=aa,ababa=a infinite ab - - ab:aab=aa,aaaa=aa,ababa=a [09m33s] # 15566 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:4,work:416,nodes:22,pairs:14,completionMax:50us [09m33s] 15566 ab:aab=aa,ababa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15566 ab:aab=aa,ababa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15567 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:59,nodes:12,pairs:1,completionMax:7us [09m33s] 15567 ab:aab=aa,ababb=a infinite ab - - ab:aaa=aa,aab=aa,ababb=a [09m33s] # 15568 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:1,work:70,nodes:12,pairs:4,completionMax:19us [09m33s] 15568 ab:aab=aa,ababb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [09m33s] from: 15568 ab:aab=aa,ababb=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [09m33s] # 15569 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:140,nodes:14,pairs:4,completionMax:24us [09m33s] 15569 ab:aab=aa,abbaa=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15569 ab:aab=aa,abbaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15570 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:4,work:411,nodes:20,pairs:19,completionMax:54us [09m33s] 15570 ab:aab=aa,abbaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15570 ab:aab=aa,abbaa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15571 solved: rounds:3,rules:2,peak:9,longest:6,steps:6,word:0,work:1168,nodes:20,pairs:52,completionMax:126us [09m33s] 15571 ab:aab=aa,abbab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15571 ab:aab=aa,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15572 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:255,nodes:20,pairs:9,completionMax:29us [09m33s] 15572 ab:aab=aa,abbab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [09m33s] from: 15572 ab:aab=aa,abbab=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [09m33s] # 15573 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:83,nodes:12,pairs:1,completionMax:8us [09m33s] 15573 ab:aab=aa,abbba=a infinite ab - - ab:aaa=aa,aab=aa,abbba=a [09m33s] # 15574 solved: rounds:2,rules:2,peak:5,longest:5,steps:9,word:2,work:454,nodes:24,pairs:13,completionMax:56us [09m33s] 15574 ab:aab=aa,abbba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [09m33s] from: 15574 ab:aab=aa,abbba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [09m33s] # 15575 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:9,nodes:12,pairs:0,completionMax:2us [09m33s] 15575 ab:aab=aa,abbbb=a infinite ab - - ab:aab=aa,abbbb=a [09m33s] # 15576 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:51,nodes:12,pairs:3,completionMax:13us [09m33s] 15576 ab:aab=aa,abbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a/b - - ab:aaa=aa,b=aa [09m33s] from: 15576 ab:aab=aa,abbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=a,b=aa [09m33s] # 15577 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:286,nodes:20,pairs:10,completionMax:52us [09m33s] 15577 ab:aab=aa,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [09m33s] from: 15577 ab:aab=aa,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [09m33s] # 15578 solved: rounds:1,rules:5,peak:5,longest:6,steps:1,word:0,work:126,nodes:20,pairs:3,completionMax:15us [09m33s] 15578 ab:aab=aa,baaaa=b finite:14;idempotents:1,b,aaaa,abaaa ab - - ab:bb=b,aab=aa,bab=ba,baaaa=b,aaaaaa=aa [09m33s] # 15579 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:178,nodes:16,pairs:7,completionMax:28us [09m33s] 15579 ab:aab=aa,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 15579 ab:aab=aa,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 15580 solved: rounds:1,rules:5,peak:5,longest:5,steps:1,word:0,work:117,nodes:16,pairs:3,completionMax:15us [09m33s] 15580 ab:aab=aa,baaab=b finite:11;idempotents:1,b,aaa,abaa ab - - ab:bb=b,aab=aa,bab=ba,baaa=b,aaaaa=aa [09m33s] from: 15580 ab:aab=aa,baaab=b finite:11;idempotents:1,b,aaa,abaa to: 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa a=a,b=b [09m33s] # 15581 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:177,nodes:16,pairs:7,completionMax:28us [09m33s] 15581 ab:aab=aa,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 15581 ab:aab=aa,baaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 15582 solved: rounds:1,rules:5,peak:5,longest:5,steps:1,word:0,work:116,nodes:16,pairs:3,completionMax:14us [09m33s] 15582 ab:aab=aa,baaba=b finite:11;idempotents:1,b,aaa,abaa ab - - ab:bb=b,aab=aa,bab=ba,baaa=b,aaaaa=aa [09m33s] from: 15582 ab:aab=aa,baaba=b finite:11;idempotents:1,b,aaa,abaa to: 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa a=a,b=b [09m33s] # 15583 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:248,nodes:12,pairs:6,completionMax:30us [09m33s] 15583 ab:aab=aa,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15583 ab:aab=aa,baabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15584 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:110,nodes:12,pairs:3,completionMax:9us [09m33s] 15584 ab:aab=aa,baabb=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [09m33s] from: 15584 ab:aab=aa,baabb=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [09m33s] # 15585 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:0,work:346,nodes:18,pairs:10,completionMax:51us [09m33s] 15585 ab:aab=aa,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 15585 ab:aab=aa,babaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 15586 solved: rounds:2,rules:5,peak:5,longest:5,steps:1,word:0,work:165,nodes:18,pairs:6,completionMax:22us [09m33s] 15586 ab:aab=aa,babaa=b finite:11;idempotents:1,b,aaa,abaa ab - - ab:bb=b,aab=aa,bab=ba,baaa=b,aaaaa=aa [09m33s] from: 15586 ab:aab=aa,babaa=b finite:11;idempotents:1,b,aaa,abaa to: 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa a=a,b=b [09m33s] # 15587 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:154,nodes:16,pairs:3,completionMax:15us [09m33s] 15587 ab:aab=aa,babab=a infinite ab - - ab:aab=aa,baa=aa,aaaa=aaa,babab=a [09m33s] # 15588 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:53,nodes:16,pairs:1,completionMax:9us [09m33s] 15588 ab:aab=aa,babab=b infinite ab - - ab:aab=aa,aaaa=aa,babab=b [09m33s] # 15589 solved: rounds:6,rules:3,peak:6,longest:5,steps:6,word:0,work:929,nodes:18,pairs:17,completionMax:70us [09m33s] 15589 ab:aab=aa,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15589 ab:aab=aa,babba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15590 solved: rounds:2,rules:5,peak:6,longest:5,steps:2,word:0,work:233,nodes:20,pairs:7,completionMax:27us [09m33s] 15590 ab:aab=aa,babba=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [09m33s] from: 15590 ab:aab=aa,babba=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [09m33s] # 15591 solved: rounds:3,rules:5,peak:5,longest:5,steps:3,word:0,work:144,nodes:14,pairs:6,completionMax:15us [09m33s] 15591 ab:aab=aa,babbb=a infinite ab - - ab:aab=aa,baa=aa,baba=aa,babba=aa,babbb=a [09m33s] # 15592 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:61,nodes:14,pairs:1,completionMax:4us [09m33s] 15592 ab:aab=aa,babbb=b infinite ab - - ab:aaa=aa,aab=aa,babbb=b [09m33s] # 15593 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:190,nodes:18,pairs:7,completionMax:21us [09m33s] 15593 ab:aab=aa,bbaaa=a infinite ab - - ab:ab=a,aaa=a,bba=a [09m33s] from: 15593 ab:aab=aa,bbaaa=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [09m33s] # 15594 solved: rounds:2,rules:5,peak:5,longest:5,steps:1,word:0,work:162,nodes:20,pairs:6,completionMax:33us [09m33s] 15594 ab:aab=aa,bbaaa=b finite:11;idempotents:1,b,aaa,abaa ab - - ab:bb=b,aab=aa,bab=ba,baaa=b,aaaaa=aa [09m33s] from: 15594 ab:aab=aa,bbaaa=b finite:11;idempotents:1,b,aaa,abaa to: 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa a=a,b=b [09m33s] # 15595 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:262,nodes:14,pairs:6,completionMax:22us [09m33s] 15595 ab:aab=aa,bbaab=a infinite ab - - ab:aa=a,ab=a,bba=a [09m33s] from: 15595 ab:aab=aa,bbaab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [09m33s] # 15596 solved: rounds:2,rules:5,peak:5,longest:4,steps:1,word:0,work:146,nodes:16,pairs:6,completionMax:19us [09m33s] 15596 ab:aab=aa,bbaab=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [09m33s] from: 15596 ab:aab=aa,bbaab=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [09m33s] # 15597 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:96,nodes:16,pairs:1,completionMax:7us [09m33s] 15597 ab:aab=aa,bbaba=a infinite ab - - ab:aab=aa,aaaa=aaa,bbaba=a [09m33s] # 15598 solved: rounds:2,rules:5,peak:6,longest:5,steps:2,word:0,work:213,nodes:18,pairs:6,completionMax:24us [09m33s] 15598 ab:aab=aa,bbaba=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [09m33s] from: 15598 ab:aab=aa,bbaba=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [09m33s] 15599 ab:aab=aa,bbabb=a hard definitely-infinite [09m33s] # 15600 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:0,work:257,nodes:18,pairs:6,completionMax:39us [09m33s] 15600 ab:aab=aa,bbabb=b infinite ab - - ab:aaa=aa,aab=aa,bbab=babb,babbb=b [09m33s] # 15601 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:0,work:274,nodes:16,pairs:6,completionMax:41us [09m33s] 15601 ab:aab=aa,bbbaa=a infinite ab - - ab:aa=a,ab=a,bbba=a [09m33s] from: 15601 ab:aab=aa,bbbaa=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [09m33s] # 15602 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:162,nodes:18,pairs:7,completionMax:44us [09m33s] 15602 ab:aab=aa,bbbaa=b finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=aa,baa=b,bab=ba,aaaa=aa [09m33s] from: 15602 ab:aab=aa,bbbaa=b finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=a,b=b [09m33s] # 15603 solved: rounds:3,rules:7,peak:7,longest:6,steps:5,word:0,work:1071,nodes:26,pairs:6,completionMax:91us [09m33s] 15603 ab:aab=aa,bbbab=a infinite ab - - ab:aab=aa,ababa=abaa,ababb=abab,bbbaa=abbab,bbbab=a,abbaba=abbaa,abbabb=abbab [09m33s] # 15604 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:59,nodes:14,pairs:1,completionMax:12us [09m33s] 15604 ab:aab=aa,bbbab=b infinite ab - - ab:aaa=aa,aab=aa,bbbab=b [09m33s] # 15605 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:17,nodes:14,pairs:0,completionMax:3us [09m33s] 15605 ab:aab=aa,bbbba=a infinite ab - - ab:aab=aa,bbbba=a [09m33s] # 15606 solved: rounds:3,rules:4,peak:6,longest:5,steps:3,word:0,work:255,nodes:16,pairs:9,completionMax:29us [09m33s] 15606 ab:aab=aa,bbbba=b finite:5;idempotents:1,b,aa,ab ab - - ab:ba=b,bb=b,aaa=aa,aab=aa [09m33s] from: 15606 ab:aab=aa,bbbba=b finite:5;idempotents:1,b,aa,ab to: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab a=a,b=b [09m33s] # 15607 solved: rounds:1,rules:2,peak:2,longest:11,steps:10,word:8,work:1242,nodes:22,pairs:2,completionMax:18us [09m33s] 15607 ab:aab=aa,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b10,a=b5;saturation::;noncancellative:b,1,bbbbbbbbbb,bbbbbbbbbb;smith: b/a - - ab:bbbbbbbbbbb=bbbbbbbbbb,a=bbbbb [09m33s] # 15608 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:25,nodes:14,pairs:0,completionMax:3us [09m33s] 15608 ab:aab=aa,bbbbb=b infinite ab - - ab:aab=aa,bbbbb=b [09m33s] # 15609 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:30,nodes:10,pairs:0,completionMax:3us [09m33s] 15609 ab:aab=ab,aaaaa=a infinite ab - - ab:aab=ab,aaaaa=a [09m33s] # 15610 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:4,work:296,nodes:14,pairs:1,completionMax:9us [09m33s] 15610 ab:aab=ab,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaaaa [09m33s] from: 15610 ab:aab=ab,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbbbb [09m33s] # 15611 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:6,pairs:1,completionMax:3us [09m33s] 15611 ab:aab=ab,aaaab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15611 ab:aab=ab,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15612 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:0,work:16,nodes:6,pairs:0,completionMax:4us [09m33s] 15612 ab:aab=ab,aaaab=b infinite ab - - ab:ab=b [09m33s] from: 15612 ab:aab=ab,aaaab=b infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [09m33s] # 15613 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:40,nodes:8,pairs:1,completionMax:7us [09m33s] 15613 ab:aab=ab,aaaba=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 15613 ab:aab=ab,aaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 15614 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:46,nodes:12,pairs:4,completionMax:10us [09m33s] 15614 ab:aab=ab,aaaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [09m33s] from: 15614 ab:aab=ab,aaaba=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [09m33s] # 15615 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:8,pairs:1,completionMax:5us [09m33s] 15615 ab:aab=ab,aaabb=a infinite ab - - ab:aa=a,abb=a [09m33s] from: 15615 ab:aab=ab,aaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [09m33s] # 15616 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:22,nodes:8,pairs:2,completionMax:7us [09m33s] 15616 ab:aab=ab,aaabb=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 15616 ab:aab=ab,aaabb=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 15617 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:105,nodes:10,pairs:4,completionMax:24us [09m33s] 15617 ab:aab=ab,aabaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 15617 ab:aab=ab,aabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 15618 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:16,pairs:5,completionMax:17us [09m33s] 15618 ab:aab=ab,aabaa=b infinite ab - - ab:ab=b,baa=b [09m33s] from: 15618 ab:aab=ab,aabaa=b infinite to: 1677 ab:aba=ba,baa=b infinite a=a,b=b [09m33s] # 15619 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:22us [09m33s] 15619 ab:aab=ab,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15619 ab:aab=ab,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15620 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:10,pairs:4,completionMax:7us [09m33s] 15620 ab:aab=ab,aabab=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 15620 ab:aab=ab,aabab=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 15621 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:42,nodes:10,pairs:1,completionMax:9us [09m33s] 15621 ab:aab=ab,aabba=a infinite ab - - ab:aa=a,abba=a [09m33s] from: 15621 ab:aab=ab,aabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [09m33s] # 15622 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:185,nodes:16,pairs:13,completionMax:35us [09m33s] 15622 ab:aab=ab,aabba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15622 ab:aab=ab,aabba=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15623 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:10,pairs:1,completionMax:5us [09m33s] 15623 ab:aab=ab,aabbb=a infinite ab - - ab:aa=a,abbb=a [09m33s] from: 15623 ab:aab=ab,aabbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [09m33s] # 15624 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:2,completionMax:10us [09m33s] 15624 ab:aab=ab,aabbb=b infinite ab - - ab:ab=b,bbb=b [09m33s] from: 15624 ab:aab=ab,aabbb=b infinite to: 1693 ab:abb=bb,bbb=b infinite a=a,b=b [09m33s] # 15625 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:126,nodes:12,pairs:5,completionMax:34us [09m33s] 15625 ab:aab=ab,abaaa=a infinite ab - - ab:aa=a,aba=a [09m33s] from: 15625 ab:aab=ab,abaaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [09m33s] # 15626 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:100,nodes:20,pairs:5,completionMax:20us [09m33s] 15626 ab:aab=ab,abaaa=b infinite ab - - ab:ab=b,baaa=b [09m33s] # 15627 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:88,nodes:10,pairs:7,completionMax:13us [09m33s] 15627 ab:aab=ab,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15627 ab:aab=ab,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15628 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:33,nodes:10,pairs:4,completionMax:8us [09m33s] 15628 ab:aab=ab,abaab=b infinite ab - - ab:ab=b,bb=b [09m33s] from: 15628 ab:aab=ab,abaab=b infinite to: 282 ab:ab=b,bb=ab infinite a=a,b=b [09m33s] # 15629 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:45,nodes:12,pairs:1,completionMax:10us [09m33s] 15629 ab:aab=ab,ababa=a infinite ab - - ab:aa=a,ababa=a [09m33s] from: 15629 ab:aab=ab,ababa=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [09m33s] # 15630 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:116,nodes:16,pairs:10,completionMax:23us [09m33s] 15630 ab:aab=ab,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15630 ab:aab=ab,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15631 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:6us [09m33s] 15631 ab:aab=ab,ababb=a infinite ab - - ab:aa=a,ababb=a [09m33s] from: 15631 ab:aab=ab,ababb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [09m33s] # 15632 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:12,pairs:3,completionMax:8us [09m33s] 15632 ab:aab=ab,ababb=b infinite ab - - ab:ab=b,bbb=b [09m33s] from: 15632 ab:aab=ab,ababb=b infinite to: 1693 ab:abb=bb,bbb=b infinite a=a,b=b [09m33s] # 15633 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:124,nodes:12,pairs:4,completionMax:17us [09m33s] 15633 ab:aab=ab,abbaa=a infinite ab - - ab:aa=a,abba=a [09m33s] from: 15633 ab:aab=ab,abbaa=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [09m33s] # 15634 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:213,nodes:18,pairs:8,completionMax:22us [09m33s] 15634 ab:aab=ab,abbaa=b infinite ab - - ab:ab=b,bb=b,baa=b [09m33s] from: 15634 ab:aab=ab,abbaa=b infinite to: 12591 ab:abba=ba,bbaa=b infinite a=a,b=b [09m33s] # 15635 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:717,nodes:16,pairs:27,completionMax:52us [09m33s] 15635 ab:aab=ab,abbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15635 ab:aab=ab,abbab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15636 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:12,pairs:4,completionMax:8us [09m33s] 15636 ab:aab=ab,abbab=b infinite ab - - ab:ab=b,bbb=b [09m33s] from: 15636 ab:aab=ab,abbab=b infinite to: 1693 ab:abb=bb,bbb=b infinite a=a,b=b [09m33s] # 15637 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:45,nodes:12,pairs:1,completionMax:7us [09m33s] 15637 ab:aab=ab,abbba=a infinite ab - - ab:aa=a,abbba=a [09m33s] from: 15637 ab:aab=ab,abbba=a infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [09m33s] # 15638 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:0,work:245,nodes:20,pairs:17,completionMax:45us [09m33s] 15638 ab:aab=ab,abbba=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [09m33s] from: 15638 ab:aab=ab,abbba=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 15639 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:12,pairs:1,completionMax:4us [09m33s] 15639 ab:aab=ab,abbbb=a infinite ab - - ab:aa=a,abbbb=a [09m33s] from: 15639 ab:aab=ab,abbbb=a infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [09m33s] # 15640 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:12,pairs:2,completionMax:8us [09m33s] 15640 ab:aab=ab,abbbb=b infinite ab - - ab:ab=b,bbbb=b [09m33s] # 15641 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:184,nodes:14,pairs:6,completionMax:20us [09m33s] 15641 ab:aab=ab,baaaa=a infinite ab - - ab:aa=a,ba=a [09m33s] from: 15641 ab:aab=ab,baaaa=a infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [09m33s] # 15642 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:49,nodes:14,pairs:2,completionMax:5us [09m33s] 15642 ab:aab=ab,baaaa=b infinite ab - - ab:aab=ab,bab=bb,baaaa=b [09m33s] # 15643 solved: rounds:3,rules:3,peak:7,longest:3,steps:3,word:0,work:313,nodes:12,pairs:9,completionMax:29us [09m33s] 15643 ab:aab=ab,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15643 ab:aab=ab,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15644 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:2us [09m33s] 15644 ab:aab=ab,baaab=b infinite ab - - ab:aab=ab,bab=b [09m33s] from: 15644 ab:aab=ab,baaab=b infinite to: 1629 ab:aab=ab,bab=b infinite a=a,b=b [09m33s] # 15645 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:403,nodes:18,pairs:16,completionMax:65us [09m33s] 15645 ab:aab=ab,baaba=a infinite ab - - ab:aa=a,aba=ba,bba=a [09m33s] from: 15645 ab:aab=ab,baaba=a infinite to: 888 ab:aa=a,abab=a infinite anti:a=a,b=b [09m33s] # 15646 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:146,nodes:14,pairs:8,completionMax:17us [09m33s] 15646 ab:aab=ab,baaba=b infinite ab - - ab:ba=b,bb=b,aab=ab [09m33s] from: 15646 ab:aab=ab,baaba=b infinite to: 1631 ab:aab=ab,bba=b infinite a=a,b=b [09m33s] # 15647 solved: rounds:3,rules:3,peak:10,longest:7,steps:5,word:6,work:1419,nodes:22,pairs:45,completionMax:107us [09m33s] 15647 ab:aab=ab,baabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [09m33s] from: 15647 ab:aab=ab,baabb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [09m33s] # 15648 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:1us [09m33s] 15648 ab:aab=ab,baabb=b infinite ab - - ab:aab=ab,babb=b [09m33s] from: 15648 ab:aab=ab,baabb=b infinite to: 5149 ab:aab=ab,babb=b infinite a=a,b=b [09m33s] # 15649 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:0,work:268,nodes:16,pairs:11,completionMax:34us [09m33s] 15649 ab:aab=ab,babaa=a infinite ab - - ab:aa=a,aba=ba,bba=a [09m33s] from: 15649 ab:aab=ab,babaa=a infinite to: 888 ab:aa=a,abab=a infinite anti:a=a,b=b [09m33s] # 15650 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:0,work:258,nodes:16,pairs:5,completionMax:26us [09m33s] 15650 ab:aab=ab,babaa=b infinite ab - - ab:bb=b,aab=ab,baa=b,bab=b [09m33s] from: 15650 ab:aab=ab,babaa=b infinite to: 5151 ab:aab=ab,bbaa=b infinite a=a,b=b [09m33s] # 15651 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:0,work:587,nodes:18,pairs:18,completionMax:50us [09m33s] 15651 ab:aab=ab,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15651 ab:aab=ab,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15652 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [09m33s] 15652 ab:aab=ab,babab=b infinite ab - - ab:aab=ab,babab=b [09m33s] # 15653 solved: rounds:4,rules:4,peak:6,longest:5,steps:2,word:0,work:473,nodes:18,pairs:17,completionMax:63us [09m33s] 15653 ab:aab=ab,babba=a infinite ab - - ab:aa=a,aba=ba,abba=bba,bbba=a [09m33s] from: 15653 ab:aab=ab,babba=a infinite to: 2878 ab:aa=a,abbab=a infinite anti:a=a,b=b [09m33s] # 15654 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:154,nodes:18,pairs:9,completionMax:20us [09m33s] 15654 ab:aab=ab,babba=b infinite ab - - ab:ba=b,aab=ab,bbb=b [09m33s] from: 15654 ab:aab=ab,babba=b infinite to: 5155 ab:aab=ab,bbba=b infinite a=a,b=b [09m33s] # 15655 solved: rounds:4,rules:3,peak:16,longest:13,steps:6,word:16,work:7250,nodes:32,pairs:156,completionMax:593us [09m33s] 15655 ab:aab=ab,babbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [09m33s] from: 15655 ab:aab=ab,babbb=a infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [09m33s] # 15656 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [09m33s] 15656 ab:aab=ab,babbb=b infinite ab - - ab:aab=ab,babbb=b [09m33s] # 15657 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:180,nodes:14,pairs:5,completionMax:25us [09m33s] 15657 ab:aab=ab,bbaaa=a infinite ab - - ab:aa=a,bba=a [09m33s] from: 15657 ab:aab=ab,bbaaa=a infinite to: 241 ab:aa=a,abb=a infinite anti:a=a,b=b [09m33s] # 15658 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:211,nodes:16,pairs:7,completionMax:26us [09m33s] 15658 ab:aab=ab,bbaaa=b infinite ab - - ab:bb=b,aab=ab,bab=b,baaa=b [09m33s] # 15659 solved: rounds:5,rules:3,peak:11,longest:7,steps:10,word:5,work:1435,nodes:22,pairs:34,completionMax:118us [09m33s] 15659 ab:aab=ab,bbaab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aa=a [09m33s] from: 15659 ab:aab=ab,bbaab=a infinite to: 896 ab:aa=a,babb=a infinite anti:a=a,b=b [09m33s] # 15660 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:2us [09m33s] 15660 ab:aab=ab,bbaab=b infinite ab - - ab:aab=ab,bbab=b [09m33s] from: 15660 ab:aab=ab,bbaab=b infinite to: 5153 ab:aab=ab,bbab=b infinite a=a,b=b [09m33s] # 15661 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:58,nodes:14,pairs:1,completionMax:5us [09m33s] 15661 ab:aab=ab,bbaba=a infinite ab - - ab:aaa=aa,aab=ab,bbaba=a [09m33s] # 15662 solved: rounds:4,rules:3,peak:6,longest:5,steps:2,word:0,work:271,nodes:16,pairs:12,completionMax:38us [09m33s] 15662 ab:aab=ab,bbaba=b infinite ab - - ab:ba=b,aab=ab,bbb=b [09m33s] from: 15662 ab:aab=ab,bbaba=b infinite to: 5155 ab:aab=ab,bbba=b infinite a=a,b=b [09m33s] # 15663 solved: rounds:4,rules:3,peak:8,longest:5,steps:4,word:0,work:1126,nodes:20,pairs:19,completionMax:88us [09m33s] 15663 ab:aab=ab,bbabb=a infinite ab - - ab:aa=a,bba=abb,abbbb=a [09m33s] from: 15663 ab:aab=ab,bbabb=a infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [09m33s] # 15664 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:197,nodes:18,pairs:5,completionMax:14us [09m33s] 15664 ab:aab=ab,bbabb=b infinite ab - - ab:aab=ab,bbab=babb,babbb=b [09m33s] # 15665 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:157,nodes:14,pairs:5,completionMax:20us [09m33s] 15665 ab:aab=ab,bbbaa=a infinite ab - - ab:aa=a,bbba=a [09m33s] from: 15665 ab:aab=ab,bbbaa=a infinite to: 892 ab:aa=a,abbb=a infinite anti:a=a,b=b [09m33s] # 15666 solved: rounds:3,rules:4,peak:6,longest:5,steps:2,word:0,work:270,nodes:18,pairs:11,completionMax:49us [09m33s] 15666 ab:aab=ab,bbbaa=b infinite ab - - ab:aab=ab,baa=b,bab=bb,bbb=b [09m33s] # 15667 solved: rounds:3,rules:3,peak:12,longest:19,steps:36,word:24,work:11215,nodes:58,pairs:40,completionMax:277us [09m33s] 15667 ab:aab=ab,bbbab=a infinite reversed:b/a - - ab:bbbbbbbbbbbba=a,ab=bbbbbbbbba,aa=a [09m33s] from: 15667 ab:aab=ab,bbbab=a infinite to: 2890 ab:aa=a,babbb=a infinite anti:a=a,b=b [09m33s] # 15668 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:2us [09m33s] 15668 ab:aab=ab,bbbab=b infinite ab - - ab:aab=ab,bbbab=b [09m33s] # 15669 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:58,nodes:14,pairs:1,completionMax:13us [09m33s] 15669 ab:aab=ab,bbbba=a infinite ab - - ab:aaa=aa,aab=ab,bbbba=a [09m33s] # 15670 solved: rounds:4,rules:3,peak:6,longest:5,steps:1,word:0,work:257,nodes:16,pairs:9,completionMax:53us [09m33s] 15670 ab:aab=ab,bbbba=b infinite ab - - ab:ba=b,aab=ab,bbbb=b [09m33s] # 15671 solved: rounds:1,rules:2,peak:2,longest:11,steps:2,word:4,work:174,nodes:22,pairs:2,completionMax:17us [09m33s] 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbbb=bbbbbb,a=bbbbb [09m33s] # 15672 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:4us [09m33s] 15672 ab:aab=ab,bbbbb=b infinite ab - - ab:aab=ab,bbbbb=b [09m33s] # 15673 solved: rounds:0,rules:2,peak:2,longest:5,steps:6,word:2,work:40,nodes:10,pairs:0,completionMax:6us [09m33s] 15673 ab:aab=ba,aaaaa=a infinite reversed:a/b - - ab:aaaaa=a,ba=aab [09m33s] # 15674 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:4,work:295,nodes:14,pairs:1,completionMax:11us [09m33s] 15674 ab:aab=ba,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaaaa [09m33s] from: 15674 ab:aab=ba,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbbbb [09m33s] # 15675 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:321,nodes:14,pairs:12,completionMax:43us [09m33s] 15675 ab:aab=ba,aaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15675 ab:aab=ba,aaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15676 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:1,work:33,nodes:12,pairs:0,completionMax:3us [09m33s] 15676 ab:aab=ba,aaaab=b infinite reversed:a/b - - ab:aaaab=b,ba=aab [09m33s] from: 15676 ab:aab=ba,aaaab=b infinite to: 1639 ab:aab=ba,baa=b infinite a=a,b=b [09m33s] # 15677 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:1570,nodes:22,pairs:30,completionMax:116us [09m33s] 15677 ab:aab=ba,aaaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15677 ab:aab=ba,aaaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15678 solved: rounds:2,rules:2,peak:4,longest:7,steps:7,word:3,work:226,nodes:24,pairs:6,completionMax:22us [09m33s] 15678 ab:aab=ba,aaaba=b infinite a/b - - ab:baaaaa=b,ab=baaa [09m33s] from: 15678 ab:aab=ba,aaaba=b infinite to: 5167 ab:aab=ba,abaa=b infinite a=a,b=b [09m33s] # 15679 solved: rounds:5,rules:3,peak:7,longest:4,steps:3,word:0,work:411,nodes:14,pairs:20,completionMax:73us [09m33s] 15679 ab:aab=ba,aaabb=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15679 ab:aab=ba,aaabb=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15680 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:281,nodes:16,pairs:11,completionMax:33us [09m33s] 15680 ab:aab=ba,aaabb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15680 ab:aab=ba,aaabb=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15681 solved: rounds:2,rules:3,peak:8,longest:4,steps:4,word:0,work:436,nodes:18,pairs:17,completionMax:41us [09m33s] 15681 ab:aab=ba,aabaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15681 ab:aab=ba,aabaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15682 solved: rounds:0,rules:2,peak:2,longest:7,steps:7,word:2,work:58,nodes:16,pairs:0,completionMax:4us [09m33s] 15682 ab:aab=ba,aabaa=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aab [09m33s] from: 15682 ab:aab=ba,aabaa=b infinite to: 5175 ab:aab=ba,baaa=b infinite a=a,b=b [09m33s] # 15683 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:490,nodes:22,pairs:10,completionMax:82us [09m33s] 15683 ab:aab=ba,aabab=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [09m33s] from: 15683 ab:aab=ba,aabab=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [09m33s] # 15684 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:77,nodes:12,pairs:6,completionMax:17us [09m33s] 15684 ab:aab=ba,aabab=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15684 ab:aab=ba,aabab=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15685 solved: rounds:2,rules:3,peak:9,longest:5,steps:5,word:0,work:590,nodes:16,pairs:13,completionMax:64us [09m33s] 15685 ab:aab=ba,aabba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15685 ab:aab=ba,aabba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15686 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:156,nodes:14,pairs:5,completionMax:23us [09m33s] 15686 ab:aab=ba,aabba=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15686 ab:aab=ba,aabba=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15687 solved: rounds:3,rules:3,peak:7,longest:4,steps:5,word:0,work:470,nodes:18,pairs:20,completionMax:49us [09m33s] 15687 ab:aab=ba,aabbb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15687 ab:aab=ba,aabbb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15688 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:569,nodes:16,pairs:11,completionMax:35us [09m33s] 15688 ab:aab=ba,aabbb=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15688 ab:aab=ba,aabbb=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15689 solved: rounds:3,rules:3,peak:11,longest:5,steps:6,word:0,work:1856,nodes:26,pairs:34,completionMax:86us [09m33s] 15689 ab:aab=ba,abaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15689 ab:aab=ba,abaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15690 solved: rounds:2,rules:2,peak:4,longest:9,steps:10,word:4,work:332,nodes:32,pairs:6,completionMax:29us [09m33s] 15690 ab:aab=ba,abaaa=b infinite a/b - - ab:baaaaaaa=b,ab=baaaa [09m33s] # 15691 solved: rounds:4,rules:3,peak:11,longest:6,steps:3,word:0,work:1259,nodes:22,pairs:52,completionMax:115us [09m33s] 15691 ab:aab=ba,abaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15691 ab:aab=ba,abaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15692 solved: rounds:2,rules:3,peak:8,longest:4,steps:9,word:0,work:637,nodes:20,pairs:18,completionMax:51us [09m33s] 15692 ab:aab=ba,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15692 ab:aab=ba,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15693 solved: rounds:5,rules:3,peak:9,longest:6,steps:4,word:1,work:1734,nodes:32,pairs:45,completionMax:183us [09m33s] 15693 ab:aab=ba,ababa=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [09m33s] from: 15693 ab:aab=ba,ababa=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [09m33s] # 15694 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:0,work:581,nodes:20,pairs:19,completionMax:57us [09m33s] 15694 ab:aab=ba,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15694 ab:aab=ba,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15695 solved: rounds:4,rules:3,peak:10,longest:5,steps:5,word:0,work:1491,nodes:24,pairs:53,completionMax:130us [09m33s] 15695 ab:aab=ba,ababb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15695 ab:aab=ba,ababb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15696 solved: rounds:3,rules:3,peak:7,longest:5,steps:5,word:1,work:670,nodes:26,pairs:24,completionMax:58us [09m33s] 15696 ab:aab=ba,ababb=b infinite a/b - - ab:baaa=b,ab=baa,bbb=b [09m33s] # 15697 solved: rounds:3,rules:3,peak:13,longest:6,steps:4,word:0,work:2520,nodes:30,pairs:25,completionMax:131us [09m33s] 15697 ab:aab=ba,abbaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15697 ab:aab=ba,abbaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15698 solved: rounds:3,rules:3,peak:18,longest:6,steps:7,word:0,work:4732,nodes:42,pairs:59,completionMax:232us [09m33s] 15698 ab:aab=ba,abbaa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15698 ab:aab=ba,abbaa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15699 solved: rounds:4,rules:3,peak:9,longest:5,steps:6,word:0,work:1355,nodes:26,pairs:35,completionMax:109us [09m33s] 15699 ab:aab=ba,abbab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15699 ab:aab=ba,abbab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15700 solved: rounds:2,rules:3,peak:10,longest:5,steps:4,word:0,work:774,nodes:24,pairs:15,completionMax:71us [09m33s] 15700 ab:aab=ba,abbab=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [09m33s] from: 15700 ab:aab=ba,abbab=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 15701 solved: rounds:5,rules:3,peak:9,longest:6,steps:5,word:0,work:1394,nodes:30,pairs:45,completionMax:130us [09m33s] 15701 ab:aab=ba,abbba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15701 ab:aab=ba,abbba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15702 solved: rounds:3,rules:3,peak:11,longest:6,steps:5,word:1,work:1624,nodes:32,pairs:47,completionMax:201us [09m33s] 15702 ab:aab=ba,abbba=b infinite a/b - - ab:baaa=b,ab=baa,bbb=b [09m33s] from: 15702 ab:aab=ba,abbba=b infinite to: 15696 ab:aab=ba,ababb=b infinite a=a,b=b [09m33s] # 15703 solved: rounds:1,rules:3,peak:3,longest:17,steps:18,word:14,work:402,nodes:42,pairs:1,completionMax:24us [09m33s] 15703 ab:aab=ba,abbbb=a infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaa=aa,ba=aab,abbbb=a [09m33s] # 15704 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:703,nodes:26,pairs:7,completionMax:40us [09m33s] 15704 ab:aab=ba,abbbb=b infinite;commutative:ab:ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:ab=b,ba=b,bbbb=b [09m33s] from: 15704 ab:aab=ba,abbbb=b infinite;commutative:ab:ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=b,b=a [09m33s] # 15705 solved: rounds:2,rules:3,peak:8,longest:5,steps:6,word:0,work:538,nodes:22,pairs:17,completionMax:41us [09m33s] 15705 ab:aab=ba,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15705 ab:aab=ba,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15706 solved: rounds:0,rules:2,peak:2,longest:9,steps:9,word:4,work:91,nodes:20,pairs:0,completionMax:4us [09m33s] 15706 ab:aab=ba,baaaa=b infinite reversed:a/b - - ab:aaaaaaaab=b,ba=aab [09m33s] # 15707 solved: rounds:2,rules:3,peak:9,longest:5,steps:5,word:0,work:592,nodes:16,pairs:13,completionMax:60us [09m33s] 15707 ab:aab=ba,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15707 ab:aab=ba,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15708 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:158,nodes:14,pairs:5,completionMax:22us [09m33s] 15708 ab:aab=ba,baaab=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15708 ab:aab=ba,baaab=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15709 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1122,nodes:32,pairs:37,completionMax:109us [09m33s] 15709 ab:aab=ba,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15709 ab:aab=ba,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15710 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:0,work:1166,nodes:22,pairs:19,completionMax:113us [09m33s] 15710 ab:aab=ba,baaba=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15710 ab:aab=ba,baaba=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15711 solved: rounds:3,rules:3,peak:12,longest:5,steps:4,word:0,work:2694,nodes:30,pairs:81,completionMax:315us [09m33s] 15711 ab:aab=ba,baabb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15711 ab:aab=ba,baabb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15712 solved: rounds:4,rules:3,peak:6,longest:5,steps:5,word:0,work:742,nodes:18,pairs:20,completionMax:75us [09m33s] 15712 ab:aab=ba,baabb=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15712 ab:aab=ba,baabb=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15713 solved: rounds:3,rules:3,peak:12,longest:6,steps:5,word:2,work:1990,nodes:44,pairs:45,completionMax:257us [09m33s] 15713 ab:aab=ba,babaa=a infinite a/b - - ab:aaaa=a,ab=baa,bba=a [09m33s] from: 15713 ab:aab=ba,babaa=a infinite to: 1642 ab:aab=ba,bba=a infinite a=a,b=b [09m33s] # 15714 solved: rounds:3,rules:3,peak:11,longest:6,steps:5,word:0,work:1423,nodes:24,pairs:24,completionMax:103us [09m33s] 15714 ab:aab=ba,babaa=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15714 ab:aab=ba,babaa=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15715 solved: rounds:4,rules:3,peak:10,longest:5,steps:4,word:0,work:914,nodes:20,pairs:30,completionMax:98us [09m33s] 15715 ab:aab=ba,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15715 ab:aab=ba,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15716 solved: rounds:3,rules:3,peak:5,longest:9,steps:9,word:6,work:411,nodes:44,pairs:6,completionMax:40us [09m33s] 15716 ab:aab=ba,babab=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aab,bbb=b [09m33s] # 15717 solved: rounds:2,rules:3,peak:9,longest:6,steps:3,word:0,work:695,nodes:20,pairs:13,completionMax:70us [09m33s] 15717 ab:aab=ba,babba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15717 ab:aab=ba,babba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15718 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:0,work:808,nodes:26,pairs:26,completionMax:93us [09m33s] 15718 ab:aab=ba,babba=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15718 ab:aab=ba,babba=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15719 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:0,work:719,nodes:26,pairs:17,completionMax:69us [09m33s] 15719 ab:aab=ba,babbb=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [09m33s] from: 15719 ab:aab=ba,babbb=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [09m33s] # 15720 solved: rounds:3,rules:3,peak:7,longest:5,steps:2,word:0,work:446,nodes:22,pairs:19,completionMax:61us [09m33s] 15720 ab:aab=ba,babbb=b infinite ab - - ab:ba=b,aab=b,bbbb=b [09m33s] from: 15720 ab:aab=ba,babbb=b infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=b,b=a [09m33s] # 15721 solved: rounds:3,rules:3,peak:11,longest:6,steps:6,word:0,work:1926,nodes:36,pairs:29,completionMax:207us [09m33s] 15721 ab:aab=ba,bbaaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15721 ab:aab=ba,bbaaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15722 solved: rounds:3,rules:3,peak:11,longest:6,steps:4,word:0,work:1432,nodes:32,pairs:68,completionMax:218us [09m33s] 15722 ab:aab=ba,bbaaa=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15722 ab:aab=ba,bbaaa=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15723 solved: rounds:5,rules:3,peak:7,longest:11,steps:9,word:3,work:1466,nodes:42,pairs:14,completionMax:167us [09m33s] 15723 ab:aab=ba,bbaab=a infinite a/b - - ab:aaaaaaaa=a,ab=baaaa,bbba=a [09m33s] from: 15723 ab:aab=ba,bbaab=a infinite to: 5186 ab:aab=ba,bbba=a infinite a=a,b=b [09m33s] # 15724 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:71,nodes:14,pairs:4,completionMax:13us [09m33s] 15724 ab:aab=ba,bbaab=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15724 ab:aab=ba,bbaab=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15725 solved: rounds:3,rules:3,peak:13,longest:7,steps:4,word:0,work:2531,nodes:40,pairs:60,completionMax:224us [09m33s] 15725 ab:aab=ba,bbaba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15725 ab:aab=ba,bbaba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15726 solved: rounds:3,rules:3,peak:5,longest:15,steps:12,word:11,work:558,nodes:56,pairs:5,completionMax:41us [09m33s] 15726 ab:aab=ba,bbaba=b infinite reversed:a/b - - ab:aaaaaab=b,ba=aab,bbb=b [09m33s] from: 15726 ab:aab=ba,bbaba=b infinite to: 15716 ab:aab=ba,babab=b infinite a=a,b=b [09m33s] # 15727 solved: rounds:3,rules:3,peak:9,longest:7,steps:7,word:2,work:1455,nodes:34,pairs:22,completionMax:116us [09m33s] 15727 ab:aab=ba,bbabb=a infinite a/b - - ab:aaaa=a,ab=baa,bbbba=a [09m33s] # 15728 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:849,nodes:22,pairs:28,completionMax:84us [09m33s] 15728 ab:aab=ba,bbabb=b infinite ab - - ab:ba=b,aab=b,bbbb=b [09m33s] from: 15728 ab:aab=ba,bbabb=b infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=b,b=a [09m33s] # 15729 solved: rounds:3,rules:3,peak:11,longest:6,steps:5,word:0,work:1911,nodes:36,pairs:35,completionMax:164us [09m33s] 15729 ab:aab=ba,bbbaa=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15729 ab:aab=ba,bbbaa=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15730 solved: rounds:3,rules:3,peak:10,longest:6,steps:3,word:0,work:783,nodes:26,pairs:42,completionMax:92us [09m33s] 15730 ab:aab=ba,bbbaa=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15730 ab:aab=ba,bbbaa=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15731 solved: rounds:4,rules:3,peak:16,longest:7,steps:7,word:0,work:7399,nodes:56,pairs:170,completionMax:560us [09m33s] 15731 ab:aab=ba,bbbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [09m33s] from: 15731 ab:aab=ba,bbbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [09m33s] # 15732 solved: rounds:3,rules:3,peak:12,longest:6,steps:5,word:0,work:1650,nodes:28,pairs:31,completionMax:163us [09m33s] 15732 ab:aab=ba,bbbab=b infinite ab - - ab:ba=b,aab=b,bbbb=b [09m33s] from: 15732 ab:aab=ba,bbbab=b infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=b,b=a [09m33s] # 15733 solved: rounds:7,rules:3,peak:9,longest:19,steps:26,word:11,work:7271,nodes:110,pairs:29,completionMax:499us [09m33s] 15733 ab:aab=ba,bbbba=a infinite a/b - - ab:aaaaaaaaaaaaaaaa=a,ab=baaaaaaaa,bbbba=a [09m33s] # 15734 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:74,nodes:16,pairs:4,completionMax:17us [09m33s] 15734 ab:aab=ba,bbbba=b infinite ab - - ab:ba=b,aab=b,bbbb=b [09m33s] from: 15734 ab:aab=ba,bbbba=b infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=b,b=a [09m33s] # 15735 solved: rounds:1,rules:2,peak:2,longest:11,steps:2,word:4,work:176,nodes:22,pairs:2,completionMax:15us [09m33s] 15735 ab:aab=ba,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbbb=bbbbbb,a=bbbbb [09m33s] from: 15735 ab:aab=ba,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbbb,b=b [09m33s] # 15736 solved: rounds:1,rules:3,peak:3,longest:33,steps:33,word:30,work:1053,nodes:74,pairs:1,completionMax:25us [09m33s] 15736 ab:aab=ba,bbbbb=b infinite reversed:a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaab=aab,ba=aab,bbbbb=b [09m33s] # 15737 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:80,nodes:20,pairs:2,completionMax:15us [09m33s] 15737 ab:aab=bb,aaaaa=a infinite ab - - ab:aab=bb,abbb=ab,bbbb=bb,aaaaa=a [09m33s] # 15738 solved: rounds:1,rules:2,peak:2,longest:10,steps:3,word:8,work:283,nodes:20,pairs:2,completionMax:13us [09m33s] 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaaaa [09m33s] # 15739 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:48,nodes:14,pairs:2,completionMax:21us [09m33s] 15739 ab:aab=bb,aaaab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [09m33s] from: 15739 ab:aab=bb,aaaab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [09m33s] # 15740 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:10,pairs:0,completionMax:2us [09m33s] 15740 ab:aab=bb,aaaab=b infinite ab - - ab:aab=bb,bbb=b [09m33s] from: 15740 ab:aab=bb,aaaab=b infinite to: 1657 ab:aab=bb,bbb=b infinite a=a,b=b [09m33s] # 15741 solved: rounds:4,rules:3,peak:9,longest:8,steps:3,word:1,work:957,nodes:34,pairs:25,completionMax:123us [09m33s] 15741 ab:aab=bb,aaaba=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15741 ab:aab=bb,aaaba=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 15742 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:415,nodes:18,pairs:21,completionMax:61us [09m33s] 15742 ab:aab=bb,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [09m33s] from: 15742 ab:aab=bb,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [09m33s] # 15743 solved: rounds:2,rules:4,peak:5,longest:7,steps:1,word:1,work:187,nodes:22,pairs:8,completionMax:37us [09m33s] 15743 ab:aab=bb,aaabb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15743 ab:aab=bb,aaabb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15744 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:32,nodes:14,pairs:3,completionMax:10us [09m33s] 15744 ab:aab=bb,aaabb=b infinite b/a - - ab:bbbbbb=b,ab=bbbb [09m33s] from: 15744 ab:aab=bb,aaabb=b infinite to: 5205 ab:aab=bb,abbb=b infinite a=a,b=b [09m33s] # 15745 solved: rounds:3,rules:3,peak:6,longest:7,steps:3,word:1,work:520,nodes:28,pairs:18,completionMax:57us [09m33s] 15745 ab:aab=bb,aabaa=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15745 ab:aab=bb,aabaa=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 15746 solved: rounds:3,rules:3,peak:7,longest:7,steps:3,word:1,work:579,nodes:28,pairs:13,completionMax:45us [09m33s] 15746 ab:aab=bb,aabaa=b infinite a/b - - ab:baaaa=b,aab=baa,bb=baa [09m33s] from: 15746 ab:aab=bb,aabaa=b infinite to: 5215 ab:aab=bb,bbaa=b infinite a=a,b=b [09m33s] # 15747 solved: rounds:3,rules:4,peak:8,longest:13,steps:2,word:8,work:1283,nodes:40,pairs:23,completionMax:87us [09m33s] 15747 ab:aab=bb,aabab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15747 ab:aab=bb,aabab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15748 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:12,pairs:0,completionMax:2us [09m33s] 15748 ab:aab=bb,aabab=b infinite ab - - ab:aab=bb,bbab=b [09m33s] from: 15748 ab:aab=bb,aabab=b infinite to: 5217 ab:aab=bb,bbab=b infinite a=a,b=b [09m33s] # 15749 solved: rounds:4,rules:3,peak:7,longest:9,steps:2,word:1,work:603,nodes:34,pairs:13,completionMax:50us [09m33s] 15749 ab:aab=bb,aabba=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15749 ab:aab=bb,aabba=a finite:14;idempotents:1,aaaab,aaaaaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a=a,b=b [09m33s] # 15750 solved: rounds:4,rules:3,peak:6,longest:7,steps:2,word:2,work:361,nodes:20,pairs:8,completionMax:56us [09m33s] 15750 ab:aab=bb,aabba=b infinite b/a - - ab:bbbbbb=b,ba=bbbb,aab=bb [09m33s] from: 15750 ab:aab=bb,aabba=b infinite to: 5219 ab:aab=bb,bbba=b infinite a=a,b=b [09m33s] # 15751 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:54,nodes:18,pairs:2,completionMax:8us [09m33s] 15751 ab:aab=bb,aabbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15751 ab:aab=bb,aabbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15752 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [09m33s] 15752 ab:aab=bb,aabbb=b infinite ab - - ab:aab=bb,bbbb=b [09m33s] from: 15752 ab:aab=bb,aabbb=b infinite to: 5221 ab:aab=bb,bbbb=b infinite a=a,b=b [09m33s] # 15753 solved: rounds:4,rules:3,peak:4,longest:6,steps:1,word:1,work:121,nodes:16,pairs:7,completionMax:31us [09m33s] 15753 ab:aab=bb,abaaa=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15753 ab:aab=bb,abaaa=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 15754 solved: rounds:5,rules:3,peak:7,longest:13,steps:9,word:8,work:1487,nodes:36,pairs:14,completionMax:104us [09m33s] 15754 ab:aab=bb,abaaa=b infinite a/b - - ab:baaaaaaaaaaaa=b,ab=baaaaaaaaa,bb=baaaaaa [09m33s] from: 15754 ab:aab=bb,abaaa=b infinite to: 14723 ab:aabb=a,bbbab=a infinite anti:a=b,b=a [09m33s] # 15755 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:1,work:265,nodes:20,pairs:14,completionMax:46us [09m33s] 15755 ab:aab=bb,abaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15755 ab:aab=bb,abaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15756 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:2,work:33,nodes:14,pairs:3,completionMax:8us [09m33s] 15756 ab:aab=bb,abaab=b infinite b/a - - ab:bbbbbb=b,ab=bbbb [09m33s] from: 15756 ab:aab=bb,abaab=b infinite to: 5205 ab:aab=bb,abbb=b infinite a=a,b=b [09m33s] # 15757 solved: rounds:3,rules:4,peak:5,longest:9,steps:1,word:1,work:304,nodes:30,pairs:9,completionMax:33us [09m33s] 15757 ab:aab=bb,ababa=a finite:34;idempotents:1,abab,baba,aaaab,aaaba,aaaaaa,aaaaaaabab a/b - - ab:aaaaaaaa=aa,baa=aaaa,bb=aab,ababa=a [09m33s] # 15758 solved: rounds:4,rules:3,peak:6,longest:7,steps:5,word:4,work:697,nodes:24,pairs:18,completionMax:58us [09m33s] 15758 ab:aab=bb,ababa=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15758 ab:aab=bb,ababa=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15759 solved: rounds:4,rules:2,peak:6,longest:12,steps:3,word:6,work:925,nodes:38,pairs:16,completionMax:64us [09m33s] 15759 ab:aab=bb,ababb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15759 ab:aab=bb,ababb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15760 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:283,nodes:24,pairs:6,completionMax:20us [09m33s] 15760 ab:aab=bb,ababb=b infinite ab - - ab:aab=bb,bab=abb,bbbb=b [09m33s] # 15761 solved: rounds:3,rules:3,peak:9,longest:12,steps:8,word:1,work:2241,nodes:46,pairs:37,completionMax:146us [09m33s] 15761 ab:aab=bb,abbaa=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15761 ab:aab=bb,abbaa=a finite:14;idempotents:1,aaaab,aaaaaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a=a,b=b [09m33s] # 15762 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:4,work:1352,nodes:30,pairs:34,completionMax:96us [09m33s] 15762 ab:aab=bb,abbaa=b infinite b/a - - ab:bbbbbb=b,ab=bbbb,baa=bb [09m33s] from: 15762 ab:aab=bb,abbaa=b infinite to: 5219 ab:aab=bb,bbba=b infinite anti:a=a,b=b [09m33s] # 15763 solved: rounds:4,rules:2,peak:11,longest:9,steps:5,word:6,work:1978,nodes:32,pairs:69,completionMax:152us [09m33s] 15763 ab:aab=bb,abbab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15763 ab:aab=bb,abbab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15764 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:463,nodes:24,pairs:13,completionMax:44us [09m33s] 15764 ab:aab=bb,abbab=b infinite ab - - ab:aab=bb,bab=abb,bbbb=b [09m33s] from: 15764 ab:aab=bb,abbab=b infinite to: 15760 ab:aab=bb,ababb=b infinite a=a,b=b [09m33s] # 15765 solved: rounds:4,rules:3,peak:8,longest:10,steps:2,word:2,work:1018,nodes:38,pairs:28,completionMax:119us [09m33s] 15765 ab:aab=bb,abbba=a finite:16;idempotents:1,aaaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaa,bb=aab [09m33s] # 15766 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:0,work:638,nodes:22,pairs:28,completionMax:54us [09m33s] 15766 ab:aab=bb,abbba=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 ab - - ab:ba=ab,aab=bb,bbbb=b [09m33s] from: 15766 ab:aab=bb,abbba=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=b,b=a [09m33s] # 15767 solved: rounds:2,rules:4,peak:5,longest:9,steps:3,word:3,work:218,nodes:26,pairs:7,completionMax:40us [09m33s] 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] # 15768 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:36,nodes:18,pairs:3,completionMax:9us [09m33s] 15768 ab:aab=bb,abbbb=b infinite b/a - - ab:bbbbbbbb=b,ab=bbbbb [09m33s] # 15769 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:39,nodes:14,pairs:3,completionMax:11us [09m33s] 15769 ab:aab=bb,baaaa=a finite:12;idempotents:1,aaab,aaaaa a/b - - ab:aaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15769 ab:aab=bb,baaaa=a finite:12;idempotents:1,aaab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=a,b=b [09m33s] # 15770 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:114,nodes:22,pairs:2,completionMax:11us [09m33s] 15770 ab:aab=bb,baaaa=b infinite ab - - ab:aab=bb,bbbb=bb,baaaa=b,babbb=bab [09m33s] # 15771 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:7,work:235,nodes:18,pairs:13,completionMax:30us [09m33s] 15771 ab:aab=bb,baaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15771 ab:aab=bb,baaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15772 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:2us [09m33s] 15772 ab:aab=bb,baaab=b infinite ab - - ab:aab=bb,babb=b [09m33s] from: 15772 ab:aab=bb,baaab=b infinite to: 5213 ab:aab=bb,babb=b infinite a=a,b=b [09m33s] # 15773 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:1,work:63,nodes:16,pairs:5,completionMax:19us [09m33s] 15773 ab:aab=bb,baaba=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15773 ab:aab=bb,baaba=a finite:14;idempotents:1,aaaab,aaaaaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a=a,b=b [09m33s] # 15774 solved: rounds:4,rules:3,peak:6,longest:7,steps:2,word:2,work:362,nodes:20,pairs:8,completionMax:45us [09m33s] 15774 ab:aab=bb,baaba=b infinite b/a - - ab:bbbbbb=b,ba=bbbb,aab=bb [09m33s] from: 15774 ab:aab=bb,baaba=b infinite to: 5219 ab:aab=bb,bbba=b infinite a=a,b=b [09m33s] # 15775 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:55,nodes:18,pairs:2,completionMax:10us [09m33s] 15775 ab:aab=bb,baabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15775 ab:aab=bb,baabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15776 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:12,pairs:0,completionMax:4us [09m33s] 15776 ab:aab=bb,baabb=b infinite ab - - ab:aab=bb,bbbb=b [09m33s] from: 15776 ab:aab=bb,baabb=b infinite to: 5221 ab:aab=bb,bbbb=b infinite a=a,b=b [09m33s] # 15777 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:1,work:56,nodes:16,pairs:4,completionMax:15us [09m33s] 15777 ab:aab=bb,babaa=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15777 ab:aab=bb,babaa=a finite:14;idempotents:1,aaaab,aaaaaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a=a,b=b [09m33s] # 15778 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:101,nodes:18,pairs:2,completionMax:13us [09m33s] 15778 ab:aab=bb,babaa=b infinite ab - - ab:aab=bb,babaa=b,babbb=bb,bababb=bab [09m33s] # 15779 solved: rounds:4,rules:2,peak:6,longest:9,steps:6,word:6,work:414,nodes:18,pairs:19,completionMax:57us [09m33s] 15779 ab:aab=bb,babab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15779 ab:aab=bb,babab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15780 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [09m33s] 15780 ab:aab=bb,babab=b infinite ab - - ab:aab=bb,babab=b [09m33s] # 15781 solved: rounds:2,rules:3,peak:3,longest:8,steps:1,word:1,work:74,nodes:18,pairs:5,completionMax:19us [09m33s] 15781 ab:aab=bb,babba=a finite:16;idempotents:1,aaaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15781 ab:aab=bb,babba=a finite:16;idempotents:1,aaaaab,aaaaaaa to: 15765 ab:aab=bb,abbba=a finite:16;idempotents:1,aaaaab,aaaaaaa a=a,b=b [09m33s] # 15782 solved: rounds:3,rules:4,peak:8,longest:6,steps:5,word:0,work:1117,nodes:24,pairs:20,completionMax:72us [09m33s] 15782 ab:aab=bb,babba=b infinite ba - - ab:bab=bba,baa=bb,aab=bb,bbbb=b [09m33s] # 15783 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:9,work:291,nodes:26,pairs:13,completionMax:36us [09m33s] 15783 ab:aab=bb,babbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15783 ab:aab=bb,babbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a=a,b=b [09m33s] # 15784 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [09m33s] 15784 ab:aab=bb,babbb=b infinite ab - - ab:aab=bb,babbb=b [09m33s] # 15785 solved: rounds:3,rules:3,peak:6,longest:9,steps:4,word:1,work:737,nodes:36,pairs:20,completionMax:131us [09m33s] 15785 ab:aab=bb,bbaaa=a finite:14;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15785 ab:aab=bb,bbaaa=a finite:14;idempotents:1,aaaab,aaaaaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa a=a,b=b [09m33s] # 15786 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:2,work:315,nodes:24,pairs:4,completionMax:45us [09m33s] 15786 ab:aab=bb,bbaaa=b infinite b/a - - ab:bbbbbb=b,bab=bbbbb,aab=bb,baaa=bbbbb [09m33s] # 15787 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:56,nodes:18,pairs:2,completionMax:12us [09m33s] 15787 ab:aab=bb,bbaab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15787 ab:aab=bb,bbaab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15788 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [09m33s] 15788 ab:aab=bb,bbaab=b infinite ab - - ab:aab=bb,bbbb=b [09m33s] from: 15788 ab:aab=bb,bbaab=b infinite to: 5221 ab:aab=bb,bbbb=b infinite a=a,b=b [09m33s] # 15789 solved: rounds:3,rules:3,peak:5,longest:10,steps:1,word:1,work:247,nodes:32,pairs:10,completionMax:49us [09m33s] 15789 ab:aab=bb,bbaba=a finite:16;idempotents:1,aaaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15789 ab:aab=bb,bbaba=a finite:16;idempotents:1,aaaaab,aaaaaaa to: 15765 ab:aab=bb,abbba=a finite:16;idempotents:1,aaaaab,aaaaaaa a=a,b=b [09m33s] # 15790 solved: rounds:5,rules:4,peak:10,longest:7,steps:6,word:0,work:3134,nodes:40,pairs:54,completionMax:212us [09m33s] 15790 ab:aab=bb,bbaba=b infinite ba - - ab:bab=bba,baa=bb,aab=bb,bbbb=b [09m33s] from: 15790 ab:aab=bb,bbaba=b infinite to: 15782 ab:aab=bb,babba=b infinite a=a,b=b [09m33s] # 15791 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:2,work:239,nodes:24,pairs:12,completionMax:47us [09m33s] 15791 ab:aab=bb,bbabb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15791 ab:aab=bb,bbabb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a=a,b=b [09m33s] # 15792 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:207,nodes:18,pairs:5,completionMax:18us [09m33s] 15792 ab:aab=bb,bbabb=b infinite ab - - ab:aab=bb,bbab=babb,babbb=b [09m33s] # 15793 solved: rounds:4,rules:3,peak:13,longest:12,steps:18,word:2,work:9588,nodes:60,pairs:71,completionMax:426us [09m33s] 15793 ab:aab=bb,bbbaa=a finite:16;idempotents:1,aaaaab,aaaaaaa a/b - - ab:aaaaaaaa=a,ba=aaa,bb=aab [09m33s] from: 15793 ab:aab=bb,bbbaa=a finite:16;idempotents:1,aaaaab,aaaaaaa to: 15765 ab:aab=bb,abbba=a finite:16;idempotents:1,aaaaab,aaaaaaa a=a,b=b [09m33s] # 15794 solved: rounds:2,rules:3,peak:7,longest:7,steps:5,word:2,work:941,nodes:30,pairs:10,completionMax:63us [09m33s] 15794 ab:aab=bb,bbbaa=b infinite a/b - - ab:baaaaaa=b,aab=baa,bb=baa [09m33s] # 15795 solved: rounds:4,rules:4,peak:12,longest:13,steps:3,word:2,work:2616,nodes:50,pairs:48,completionMax:247us [09m33s] 15795 ab:aab=bb,bbbab=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15795 ab:aab=bb,bbbab=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a=a,b=b [09m33s] # 15796 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:1us [09m33s] 15796 ab:aab=bb,bbbab=b infinite ab - - ab:aab=bb,bbbab=b [09m33s] # 15797 solved: rounds:4,rules:3,peak:7,longest:11,steps:3,word:3,work:730,nodes:38,pairs:15,completionMax:80us [09m33s] 15797 ab:aab=bb,bbbba=a finite:18;idempotents:1,aaaaaab,aaaaaaaa a/b - - ab:aaaaaaaaa=a,ba=aaa,bb=aab [09m33s] # 15798 solved: rounds:4,rules:3,peak:6,longest:9,steps:2,word:3,work:418,nodes:24,pairs:8,completionMax:57us [09m33s] 15798 ab:aab=bb,bbbba=b infinite b/a - - ab:bbbbbbbb=b,ba=bbbbb,aab=bb [09m33s] # 15799 solved: rounds:1,rules:2,peak:2,longest:11,steps:1,word:4,work:62,nodes:22,pairs:2,completionMax:11us [09m33s] 15799 ab:aab=bb,bbbbb=a finite:11;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b2,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbbb=bb,a=bbbbb [09m33s] from: 15799 ab:aab=bb,bbbbb=a finite:11;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b2,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=aaaaa,b=a [09m33s] # 15800 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:5us [09m33s] 15800 ab:aab=bb,bbbbb=b infinite ab - - ab:aab=bb,bbbbb=b [09m33s] # 15801 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:12,pairs:0,completionMax:4us [09m33s] 15801 ab:aba=aa,aaaaa=a infinite ab - - ab:aba=aa,aaaaa=a [09m33s] # 15802 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:35,nodes:14,pairs:1,completionMax:8us [09m33s] 15802 ab:aba=aa,aaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaa [09m33s] from: 15802 ab:aba=aa,aaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaa [09m33s] # 15803 solved: rounds:3,rules:2,peak:5,longest:5,steps:1,word:0,work:196,nodes:12,pairs:8,completionMax:34us [09m33s] 15803 ab:aba=aa,aaaab=a infinite ab - - ab:ab=a,aaaa=a [09m33s] from: 15803 ab:aba=aa,aaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [09m33s] # 15804 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:3,work:198,nodes:16,pairs:8,completionMax:32us [09m33s] 15804 ab:aba=aa,aaaab=b finite:10;idempotents:1,b,aaaa a/b - - ab:aaaaaa=aa,ba=aaaaa,aaaab=b,bb=b [09m33s] # 15805 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:4us [09m33s] 15805 ab:aba=aa,aaaba=a infinite ab - - ab:aba=aa,aaaa=a [09m33s] from: 15805 ab:aba=aa,aaaba=a infinite to: 5222 ab:aba=aa,aaaa=a infinite a=a,b=b [09m33s] # 15806 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:12,pairs:1,completionMax:6us [09m33s] 15806 ab:aba=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15806 ab:aba=aa,aaaba=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15807 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [09m33s] 15807 ab:aba=aa,aaabb=a infinite ab - - ab:aba=aa,aaabb=a [09m33s] # 15808 solved: rounds:4,rules:4,peak:5,longest:5,steps:2,word:2,work:173,nodes:12,pairs:9,completionMax:31us [09m33s] 15808 ab:aba=aa,aaabb=b finite:8;idempotents:1,b,aaa a/b - - ab:aaaaa=aa,ba=aaaa,aaab=b,bb=b [09m33s] from: 15808 ab:aba=aa,aaabb=b finite:8;idempotents:1,b,aaa to: 5225 ab:aba=aa,aaab=b finite:8;idempotents:1,b,aaa a=a,b=b [09m33s] # 15809 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:5us [09m33s] 15809 ab:aba=aa,aabaa=a infinite ab - - ab:aba=aa,aaaa=a [09m33s] from: 15809 ab:aba=aa,aabaa=a infinite to: 5222 ab:aba=aa,aaaa=a infinite a=a,b=b [09m33s] # 15810 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:35,nodes:12,pairs:1,completionMax:6us [09m33s] 15810 ab:aba=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 a/b - - ab:aaaaaa=aa,b=aaaa [09m33s] from: 15810 ab:aba=aa,aabaa=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [09m33s] # 15811 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:176,nodes:10,pairs:9,completionMax:31us [09m33s] 15811 ab:aba=aa,aabab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15811 ab:aba=aa,aabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15812 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:2,work:177,nodes:14,pairs:8,completionMax:28us [09m33s] 15812 ab:aba=aa,aabab=b finite:8;idempotents:1,b,aaa a/b - - ab:aaaaa=aa,ba=aaaa,aaab=b,bb=b [09m33s] from: 15812 ab:aba=aa,aabab=b finite:8;idempotents:1,b,aaa to: 5225 ab:aba=aa,aaab=b finite:8;idempotents:1,b,aaa a=a,b=b [09m33s] # 15813 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:4us [09m33s] 15813 ab:aba=aa,aabba=a infinite ab - - ab:aba=aa,aabba=a [09m33s] # 15814 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:493,nodes:18,pairs:12,completionMax:63us [09m33s] 15814 ab:aba=aa,aabba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15814 ab:aba=aa,aabba=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15815 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [09m33s] 15815 ab:aba=aa,aabbb=a infinite ab - - ab:aba=aa,aabbb=a [09m33s] # 15816 solved: rounds:4,rules:4,peak:5,longest:5,steps:2,word:1,work:153,nodes:12,pairs:9,completionMax:28us [09m33s] 15816 ab:aba=aa,aabbb=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [09m33s] from: 15816 ab:aba=aa,aabbb=b finite:6;idempotents:1,b,aa to: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a=a,b=b [09m33s] # 15817 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:175,nodes:10,pairs:9,completionMax:30us [09m33s] 15817 ab:aba=aa,abaab=a infinite ab - - ab:ab=a,aaa=a [09m33s] from: 15817 ab:aba=aa,abaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [09m33s] # 15818 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:2,work:176,nodes:14,pairs:8,completionMax:27us [09m33s] 15818 ab:aba=aa,abaab=b finite:8;idempotents:1,b,aaa a/b - - ab:aaaaa=aa,ba=aaaa,aaab=b,bb=b [09m33s] from: 15818 ab:aba=aa,abaab=b finite:8;idempotents:1,b,aaa to: 5225 ab:aba=aa,aaab=b finite:8;idempotents:1,b,aaa a=a,b=b [09m33s] # 15819 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:38,nodes:8,pairs:0,completionMax:10us [09m33s] 15819 ab:aba=aa,ababa=a infinite ab - - ab:aaa=a,aba=aa [09m33s] from: 15819 ab:aba=aa,ababa=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [09m33s] # 15820 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:34,nodes:10,pairs:1,completionMax:6us [09m33s] 15820 ab:aba=aa,ababa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [09m33s] from: 15820 ab:aba=aa,ababa=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [09m33s] # 15821 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:2us [09m33s] 15821 ab:aba=aa,ababb=a infinite ab - - ab:aba=aa,aabb=a [09m33s] from: 15821 ab:aba=aa,ababb=a infinite to: 5228 ab:aba=aa,aabb=a infinite a=a,b=b [09m33s] # 15822 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:1,work:154,nodes:10,pairs:10,completionMax:24us [09m33s] 15822 ab:aba=aa,ababb=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [09m33s] from: 15822 ab:aba=aa,ababb=b finite:6;idempotents:1,b,aa to: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a=a,b=b [09m33s] # 15823 solved: rounds:2,rules:2,peak:7,longest:5,steps:6,word:0,work:397,nodes:12,pairs:8,completionMax:51us [09m33s] 15823 ab:aba=aa,abbab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15823 ab:aba=aa,abbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15824 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:2,work:347,nodes:20,pairs:13,completionMax:66us [09m33s] 15824 ab:aba=aa,abbab=b finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [09m33s] from: 15824 ab:aba=aa,abbab=b finite:6;idempotents:1,b,aa to: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a=a,b=b [09m33s] # 15825 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:3us [09m33s] 15825 ab:aba=aa,abbba=a infinite ab - - ab:aba=aa,abbba=a [09m33s] # 15826 solved: rounds:2,rules:2,peak:5,longest:5,steps:11,word:2,work:467,nodes:14,pairs:10,completionMax:28us [09m33s] 15826 ab:aba=aa,abbba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [09m33s] from: 15826 ab:aba=aa,abbba=b finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [09m33s] # 15827 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [09m33s] 15827 ab:aba=aa,abbbb=a infinite ab - - ab:aba=aa,abbbb=a [09m33s] # 15828 solved: rounds:3,rules:3,peak:3,longest:5,steps:2,word:0,work:59,nodes:10,pairs:5,completionMax:12us [09m33s] 15828 ab:aba=aa,abbbb=b finite:4;idempotents:1,b,ba ba - - ab:bb=b,ab=b,aa=ba [09m33s] from: 15828 ab:aba=aa,abbbb=b finite:4;idempotents:1,b,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab anti:a=a,b=b [09m33s] # 15829 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:783,nodes:20,pairs:31,completionMax:102us [09m33s] 15829 ab:aba=aa,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [09m33s] from: 15829 ab:aba=aa,baaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [09m33s] # 15830 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:182,nodes:20,pairs:5,completionMax:29us [09m33s] 15830 ab:aba=aa,baaab=b infinite ab - - ab:aba=aa,aaaaa=aa,aaaab=ab,baaaa=ba,baaab=b [09m33s] # 15831 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:660,nodes:22,pairs:28,completionMax:90us [09m33s] 15831 ab:aba=aa,baabb=a infinite ab - - ab:aa=a,ba=a,abb=a [09m33s] from: 15831 ab:aba=aa,baabb=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [09m33s] # 15832 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:39,nodes:20,pairs:1,completionMax:5us [09m33s] 15832 ab:aba=aa,baabb=b infinite ab - - ab:aba=aa,aaabb=ab,baabb=b [09m33s] # 15833 solved: rounds:4,rules:3,peak:8,longest:4,steps:4,word:0,work:826,nodes:16,pairs:42,completionMax:76us [09m33s] 15833 ab:aba=aa,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15833 ab:aba=aa,babab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15834 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:157,nodes:16,pairs:5,completionMax:19us [09m33s] 15834 ab:aba=aa,babab=b infinite ab - - ab:aba=aa,aaaa=aa,aaab=ab,baaa=ba,baab=b [09m33s] from: 15834 ab:aba=aa,babab=b infinite to: 5237 ab:aba=aa,baab=b infinite a=a,b=b [09m33s] # 15835 solved: rounds:2,rules:6,peak:6,longest:5,steps:2,word:0,work:230,nodes:20,pairs:8,completionMax:28us [09m33s] 15835 ab:aba=aa,babbb=a infinite ab - - ab:aba=aa,baa=aa,aabba=aaa,aabbb=aa,babba=aa,babbb=a [09m33s] # 15836 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:39,nodes:20,pairs:1,completionMax:7us [09m33s] 15836 ab:aba=aa,babbb=b infinite ab - - ab:aba=aa,aabbb=ab,babbb=b [09m33s] 15837 ab:aba=aa,bbabb=a hard definitely-infinite [09m33s] # 15838 solved: rounds:3,rules:5,peak:6,longest:7,steps:6,word:2,work:978,nodes:30,pairs:14,completionMax:68us [09m33s] 15838 ab:aba=aa,bbabb=b infinite b/a - - ab:babbb=b,bbab=babb,aabbb=ab,aba=aa,bbaa=babba [09m33s] # 15839 solved: rounds:1,rules:2,peak:2,longest:11,steps:10,word:12,work:1282,nodes:22,pairs:2,completionMax:24us [09m33s] 15839 ab:aba=aa,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b10,a=b5;saturation::;noncancellative:b,1,bbbbbbbbbb,bbbbbbbbbb;smith: b/a - - ab:bbbbbbbbbbb=bbbbbbbbbb,a=bbbbb [09m33s] from: 15839 ab:aba=aa,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b10,a=b5;saturation::;noncancellative:b,1,bbbbbbbbbb,bbbbbbbbbb;smith: to: 15607 ab:aab=aa,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b10,a=b5;saturation::;noncancellative:b,1,bbbbbbbbbb,bbbbbbbbbb;smith: a=bbbbb,b=b [09m33s] # 15840 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [09m33s] 15840 ab:aba=aa,bbbbb=b infinite ab - - ab:aba=aa,bbbbb=b [09m33s] # 15841 solved: rounds:1,rules:5,peak:5,longest:5,steps:4,word:0,work:98,nodes:18,pairs:6,completionMax:17us [09m33s] 15841 ab:aba=ab,aaaaa=a infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaaaa=a,aaaac=c [09m33s] # 15842 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:7,work:325,nodes:14,pairs:1,completionMax:12us [09m33s] 15842 ab:aba=ab,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaaaa [09m33s] from: 15842 ab:aba=ab,aaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a5;saturation::;noncancellative:aaaaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbbbb [09m33s] # 15843 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:111,nodes:12,pairs:7,completionMax:19us [09m33s] 15843 ab:aba=ab,aaaab=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15843 ab:aba=ab,aaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15844 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:39,nodes:14,pairs:2,completionMax:12us [09m33s] 15844 ab:aba=ab,aaaab=b infinite ab - - ab:ba=b,aaaab=b [09m33s] from: 15844 ab:aba=ab,aaaab=b infinite to: 2996 ab:ab=a,bbbba=a infinite a=b,b=a [09m33s] # 15845 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:98,nodes:10,pairs:6,completionMax:14us [09m33s] 15845 ab:aba=ab,aaaba=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15845 ab:aba=ab,aaaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15846 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:37,nodes:12,pairs:2,completionMax:6us [09m33s] 15846 ab:aba=ab,aaaba=b infinite ab - - ab:ba=b,aaab=b [09m33s] from: 15846 ab:aba=ab,aaaba=b infinite to: 948 ab:ab=a,bbba=a infinite a=b,b=a [09m33s] # 15847 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:180,nodes:14,pairs:7,completionMax:20us [09m33s] 15847 ab:aba=ab,aaabb=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15847 ab:aba=ab,aaabb=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15848 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:245,nodes:16,pairs:5,completionMax:31us [09m33s] 15848 ab:aba=ab,aaabb=b infinite ab - - ab:ba=b,bb=b,aaab=b [09m33s] # 15849 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:87,nodes:8,pairs:5,completionMax:18us [09m33s] 15849 ab:aba=ab,aabaa=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15849 ab:aba=ab,aabaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15850 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:33,nodes:10,pairs:2,completionMax:7us [09m33s] 15850 ab:aba=ab,aabaa=b infinite ab - - ab:ba=b,aab=b [09m33s] from: 15850 ab:aba=ab,aabaa=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [09m33s] # 15851 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:165,nodes:12,pairs:6,completionMax:27us [09m33s] 15851 ab:aba=ab,aabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15851 ab:aba=ab,aabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15852 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:232,nodes:14,pairs:5,completionMax:21us [09m33s] 15852 ab:aba=ab,aabab=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15852 ab:aba=ab,aabab=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15853 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:0,work:328,nodes:16,pairs:16,completionMax:48us [09m33s] 15853 ab:aba=ab,aabba=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15853 ab:aba=ab,aabba=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15854 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:495,nodes:22,pairs:25,completionMax:69us [09m33s] 15854 ab:aba=ab,aabba=b infinite ab - - ab:ba=b,bb=b,aab=b [09m33s] from: 15854 ab:aba=ab,aabba=b infinite to: 1641 ab:aab=ba,bab=b infinite a=a,b=b [09m33s] # 15855 solved: rounds:3,rules:4,peak:7,longest:5,steps:2,word:0,work:362,nodes:16,pairs:7,completionMax:42us [09m33s] 15855 ab:aba=ab,aabbb=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15855 ab:aba=ab,aabbb=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15856 solved: rounds:4,rules:3,peak:8,longest:5,steps:3,word:0,work:514,nodes:18,pairs:11,completionMax:73us [09m33s] 15856 ab:aba=ab,aabbb=b infinite ab - - ab:ba=b,aab=b,bbb=b [09m33s] from: 15856 ab:aba=ab,aabbb=b infinite to: 5181 ab:aab=ba,babb=b infinite a=a,b=b [09m33s] # 15857 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:36,nodes:6,pairs:2,completionMax:6us [09m33s] 15857 ab:aba=ab,abaaa=a infinite ab - - ab:aa=a,ab=a [09m33s] from: 15857 ab:aba=ab,abaaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [09m33s] # 15858 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:29,nodes:6,pairs:2,completionMax:4us [09m33s] 15858 ab:aba=ab,abaaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [09m33s] from: 15858 ab:aba=ab,abaaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [09m33s] # 15859 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:41,nodes:6,pairs:1,completionMax:4us [09m33s] 15859 ab:aba=ab,abaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15859 ab:aba=ab,abaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15860 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:65,nodes:8,pairs:3,completionMax:11us [09m33s] 15860 ab:aba=ab,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15860 ab:aba=ab,abaab=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15861 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:68,nodes:8,pairs:4,completionMax:10us [09m33s] 15861 ab:aba=ab,ababa=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15861 ab:aba=ab,ababa=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15862 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:199,nodes:12,pairs:17,completionMax:26us [09m33s] 15862 ab:aba=ab,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15862 ab:aba=ab,ababa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15863 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:96,nodes:8,pairs:3,completionMax:13us [09m33s] 15863 ab:aba=ab,ababb=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15863 ab:aba=ab,ababb=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15864 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:123,nodes:12,pairs:7,completionMax:29us [09m33s] 15864 ab:aba=ab,ababb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [09m33s] from: 15864 ab:aba=ab,ababb=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 15865 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:315,nodes:14,pairs:13,completionMax:30us [09m33s] 15865 ab:aba=ab,abbaa=a infinite ab - - ab:aa=a,aba=ab,abb=a [09m33s] from: 15865 ab:aba=ab,abbaa=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [09m33s] # 15866 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:366,nodes:14,pairs:10,completionMax:36us [09m33s] 15866 ab:aba=ab,abbaa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:ab=b,ba=b,bb=b [09m33s] from: 15866 ab:aba=ab,abbaa=b infinite;commutative:ab:b2=b,ab=b;saturation::;noncancellative:b,1,b,b;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=b,b=a [09m33s] # 15867 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:245,nodes:14,pairs:14,completionMax:40us [09m33s] 15867 ab:aba=ab,abbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15867 ab:aba=ab,abbab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15868 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:315,nodes:16,pairs:11,completionMax:40us [09m33s] 15868 ab:aba=ab,abbab=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [09m33s] from: 15868 ab:aba=ab,abbab=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 15869 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:0,work:280,nodes:12,pairs:10,completionMax:23us [09m33s] 15869 ab:aba=ab,abbba=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [09m33s] from: 15869 ab:aba=ab,abbba=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [09m33s] # 15870 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:0,work:364,nodes:16,pairs:15,completionMax:38us [09m33s] 15870 ab:aba=ab,abbba=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:ab=b,ba=b,bbb=b [09m33s] from: 15870 ab:aba=ab,abbba=b infinite;commutative:ab:ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=b,b=a [09m33s] # 15871 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:195,nodes:10,pairs:4,completionMax:28us [09m33s] 15871 ab:aba=ab,abbbb=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [09m33s] from: 15871 ab:aba=ab,abbbb=a infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [09m33s] # 15872 solved: rounds:3,rules:3,peak:5,longest:5,steps:1,word:0,work:120,nodes:14,pairs:7,completionMax:25us [09m33s] 15872 ab:aba=ab,abbbb=b infinite;commutative:ab:ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:ab=b,ba=b,bbbb=b [09m33s] from: 15872 ab:aba=ab,abbbb=b infinite;commutative:ab:ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=b,b=a [09m33s] # 15873 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:277,nodes:18,pairs:7,completionMax:29us [09m33s] 15873 ab:aba=ab,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [09m33s] from: 15873 ab:aba=ab,baaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [09m33s] # 15874 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:37,nodes:16,pairs:2,completionMax:8us [09m33s] 15874 ab:aba=ab,baaaa=b infinite ab - - ab:aba=ab,bba=bb,baaaa=b [09m33s] # 15875 solved: rounds:1,rules:3,peak:5,longest:5,steps:5,word:0,work:157,nodes:14,pairs:4,completionMax:18us [09m33s] 15875 ab:aba=ab,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15875 ab:aba=ab,baaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15876 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:113,nodes:14,pairs:6,completionMax:22us [09m33s] 15876 ab:aba=ab,baaab=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 15876 ab:aba=ab,baaab=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 15877 solved: rounds:1,rules:3,peak:5,longest:4,steps:4,word:0,work:130,nodes:12,pairs:4,completionMax:18us [09m33s] 15877 ab:aba=ab,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15877 ab:aba=ab,baaba=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15878 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:103,nodes:12,pairs:6,completionMax:15us [09m33s] 15878 ab:aba=ab,baaba=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 15878 ab:aba=ab,baaba=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 15879 solved: rounds:2,rules:3,peak:7,longest:5,steps:4,word:0,work:380,nodes:22,pairs:13,completionMax:44us [09m33s] 15879 ab:aba=ab,baabb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15879 ab:aba=ab,baabb=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15880 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:168,nodes:16,pairs:7,completionMax:23us [09m33s] 15880 ab:aba=ab,baabb=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15880 ab:aba=ab,baabb=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15881 solved: rounds:1,rules:3,peak:5,longest:3,steps:3,word:0,work:107,nodes:10,pairs:4,completionMax:13us [09m33s] 15881 ab:aba=ab,babaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [09m33s] from: 15881 ab:aba=ab,babaa=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 15882 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:91,nodes:10,pairs:6,completionMax:18us [09m33s] 15882 ab:aba=ab,babaa=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 15882 ab:aba=ab,babaa=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 15883 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:317,nodes:18,pairs:13,completionMax:48us [09m33s] 15883 ab:aba=ab,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15883 ab:aba=ab,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15884 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:153,nodes:14,pairs:7,completionMax:24us [09m33s] 15884 ab:aba=ab,babab=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15884 ab:aba=ab,babab=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15885 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:461,nodes:18,pairs:21,completionMax:71us [09m33s] 15885 ab:aba=ab,babba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [09m33s] from: 15885 ab:aba=ab,babba=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [09m33s] # 15886 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:333,nodes:18,pairs:13,completionMax:49us [09m33s] 15886 ab:aba=ab,babba=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15886 ab:aba=ab,babba=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15887 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:423,nodes:24,pairs:14,completionMax:48us [09m33s] 15887 ab:aba=ab,babbb=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [09m33s] from: 15887 ab:aba=ab,babbb=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [09m33s] # 15888 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:431,nodes:18,pairs:13,completionMax:66us [09m33s] 15888 ab:aba=ab,babbb=b infinite ab - - ab:ba=b,bbbb=b [09m33s] from: 15888 ab:aba=ab,babbb=b infinite to: 920 ab:ab=a,aaaa=a infinite a=b,b=a [09m33s] # 15889 solved: rounds:4,rules:4,peak:5,longest:5,steps:3,word:0,work:399,nodes:20,pairs:13,completionMax:39us [09m33s] 15889 ab:aba=ab,bbaaa=a infinite ab - - ab:aa=a,aba=ab,abb=a,bba=a [09m33s] from: 15889 ab:aba=ab,bbaaa=a infinite to: 5266 ab:aba=ab,bbaa=a infinite a=a,b=b [09m33s] # 15890 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:49,nodes:14,pairs:5,completionMax:14us [09m33s] 15890 ab:aba=ab,bbaaa=b infinite ab - - ab:ba=b,bb=b [09m33s] from: 15890 ab:aba=ab,bbaaa=b infinite to: 1671 ab:aba=ab,bab=b infinite a=a,b=b [09m33s] # 15891 solved: rounds:2,rules:3,peak:5,longest:7,steps:5,word:3,work:377,nodes:18,pairs:7,completionMax:32us [09m33s] 15891 ab:aba=ab,bbaab=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aa=a [09m33s] from: 15891 ab:aba=ab,bbaab=a infinite to: 896 ab:aa=a,babb=a infinite anti:a=a,b=b [09m33s] # 15892 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:48,nodes:14,pairs:3,completionMax:10us [09m33s] 15892 ab:aba=ab,bbaab=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15892 ab:aba=ab,bbaab=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15893 solved: rounds:3,rules:3,peak:5,longest:7,steps:10,word:5,work:248,nodes:16,pairs:7,completionMax:28us [09m33s] 15893 ab:aba=ab,bbaba=a infinite reversed:b/a - - ab:bbbbbba=a,ab=bbbba,aa=a [09m33s] from: 15893 ab:aba=ab,bbaba=a infinite to: 896 ab:aa=a,babb=a infinite anti:a=a,b=b [09m33s] # 15894 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:46,nodes:12,pairs:3,completionMax:11us [09m33s] 15894 ab:aba=ab,bbaba=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15894 ab:aba=ab,bbaba=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15895 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:1090,nodes:26,pairs:24,completionMax:74us [09m33s] 15895 ab:aba=ab,bbabb=a infinite ab - - ab:aa=a,aba=ab,bba=abb,abbbb=a [09m33s] # 15896 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:643,nodes:26,pairs:15,completionMax:56us [09m33s] 15896 ab:aba=ab,bbabb=b infinite ab - - ab:ba=b,bbbb=b [09m33s] from: 15896 ab:aba=ab,bbabb=b infinite to: 920 ab:ab=a,aaaa=a infinite a=b,b=a [09m33s] # 15897 solved: rounds:5,rules:5,peak:8,longest:6,steps:5,word:0,work:1020,nodes:22,pairs:20,completionMax:69us [09m33s] 15897 ab:aba=ab,bbbaa=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a,bbba=a [09m33s] # 15898 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:48,nodes:14,pairs:4,completionMax:11us [09m33s] 15898 ab:aba=ab,bbbaa=b infinite ab - - ab:ba=b,bbb=b [09m33s] from: 15898 ab:aba=ab,bbbaa=b infinite to: 259 ab:ab=a,aaa=a infinite a=b,b=a [09m33s] # 15899 solved: rounds:4,rules:3,peak:6,longest:13,steps:21,word:23,work:862,nodes:28,pairs:10,completionMax:58us [09m33s] 15899 ab:aba=ab,bbbab=a infinite reversed:b/a - - ab:bbbbbbbbbbbba=a,ab=bbbbbbbbba,aa=a [09m33s] from: 15899 ab:aba=ab,bbbab=a infinite to: 2890 ab:aa=a,babbb=a infinite anti:a=a,b=b [09m33s] # 15900 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:48,nodes:14,pairs:3,completionMax:15us [09m33s] 15900 ab:aba=ab,bbbab=b infinite ab - - ab:ba=b,bbbb=b [09m33s] from: 15900 ab:aba=ab,bbbab=b infinite to: 920 ab:ab=a,aaaa=a infinite a=b,b=a [09m33s] # 15901 solved: rounds:3,rules:6,peak:6,longest:6,steps:2,word:3,work:360,nodes:20,pairs:14,completionMax:35us [09m33s] 15901 ab:aba=ab,bbbba=a infinite b/a - - ab:abbbbb=ab,bbbba=a,aa=abbbb,aba=ab,abba=abb,abbba=abbb [09m33s] # 15902 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:0,work:49,nodes:14,pairs:4,completionMax:17us [09m33s] 15902 ab:aba=ab,bbbba=b infinite ab - - ab:ba=b,bbbb=b [09m33s] from: 15902 ab:aba=ab,bbbba=b infinite to: 920 ab:ab=a,aaaa=a infinite a=b,b=a [09m33s] # 15903 solved: rounds:1,rules:2,peak:2,longest:11,steps:2,word:8,work:192,nodes:22,pairs:2,completionMax:16us [09m33s] 15903 ab:aba=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbbb=bbbbbb,a=bbbbb [09m33s] from: 15903 ab:aba=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbbb,b=b [09m33s] # 15904 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:259,nodes:20,pairs:4,completionMax:18us [09m33s] 15904 ab:aba=ab,bbbbb=b infinite ab - - ab:aba=ab,abba=abb,abbba=abbb,bbbbb=b,abbbba=abbbb [09m33s] # 15905 solved: rounds:6,rules:15,peak:18,longest:23,steps:19,word:10,work:51146,nodes:198,pairs:94,completionMax:1676us [09m33s] 15905 ab:aba=bb,aaaaa=a infinite b/a - - ab:bbbbbbbbbbbbbbbb=bbbb,babbbbbbbbbbbbbbb=babbb,bbba=abbb,aba=bb,baabbbbbbbbbbbbbbb=baabbb,babbabbb=aabbbbbbbb,bbaabbb=abbabbbbbbbbbbbbb,aaabbbb=babbbbbbbbbbbbbb,baaabbb=bbabbbbbbbbbbbbb,baabbabbb=aabbabbbbbbbb,bbaaabb=abbb,aaaabb=bb,aaabbabbb=baabbb,bbaaaa=bb,aaaaa=a [09m33s] # 15906 solved: rounds:1,rules:2,peak:2,longest:10,steps:3,word:8,work:279,nodes:20,pairs:2,completionMax:15us [09m33s] 15906 ab:aba=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaaaa [09m33s] from: 15906 ab:aba=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaaaa [09m33s] # 15907 solved: rounds:3,rules:2,peak:12,longest:7,steps:4,word:8,work:1885,nodes:32,pairs:69,completionMax:249us [09m33s] 15907 ab:aba=bb,aaaab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [09m33s] from: 15907 ab:aba=bb,aaaab=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [09m33s] # 15908 solved: rounds:5,rules:10,peak:15,longest:17,steps:20,word:19,work:20461,nodes:130,pairs:51,completionMax:652us [09m33s] 15908 ab:aba=bb,aaaab=b infinite reversed:b/a - - ab:bbbbbbbbbbbbbb=bb,bbbbbbbbbbbbba=ba,bbbbbbbbbbbbabb=abb,abbb=bbba,aba=bb,abbab=bbbbbaa,aabb=bbbbbbbbbbabba,baaa=bbbbbbbbbbbab,abbaab=bbbbbabbaa,aaaab=b [09m33s] # 15909 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:4,work:677,nodes:28,pairs:11,completionMax:61us [09m33s] 15909 ab:aba=bb,aaaba=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [09m33s] from: 15909 ab:aba=bb,aaaba=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [09m33s] # 15910 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:676,nodes:24,pairs:24,completionMax:76us [09m33s] 15910 ab:aba=bb,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 ab - - ab:ba=ab,aab=bb,bbb=b [09m33s] from: 15910 ab:aba=bb,aaaba=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=a,b=b [09m33s] # 15911 solved: rounds:3,rules:4,peak:10,longest:8,steps:3,word:2,work:1447,nodes:34,pairs:27,completionMax:161us [09m33s] 15911 ab:aba=bb,aaabb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15911 ab:aba=bb,aaabb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15912 solved: rounds:3,rules:3,peak:9,longest:7,steps:2,word:2,work:831,nodes:34,pairs:38,completionMax:125us [09m33s] 15912 ab:aba=bb,aaabb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15912 ab:aba=bb,aaabb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15913 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:2,work:451,nodes:22,pairs:21,completionMax:74us [09m33s] 15913 ab:aba=bb,aabaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbb [09m33s] from: 15913 ab:aba=bb,aabaa=a finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaa,b=a [09m33s] # 15914 solved: rounds:3,rules:3,peak:7,longest:7,steps:6,word:4,work:1007,nodes:28,pairs:18,completionMax:98us [09m33s] 15914 ab:aba=bb,aabaa=b infinite b/a - - ab:bbbbbbb=b,ba=abbbbb,aab=bbbb [09m33s] from: 15914 ab:aba=bb,aabaa=b infinite to: 5285 ab:aba=bb,abba=b infinite a=a,b=b [09m33s] # 15915 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:87,nodes:16,pairs:2,completionMax:11us [09m33s] 15915 ab:aba=bb,aabab=a infinite ab - - ab:aba=bb,abbb=a,bbba=a,bbbbb=bb [09m33s] from: 15915 ab:aba=bb,aabab=a infinite to: 5286 ab:aba=bb,abbb=a infinite a=a,b=b [09m33s] # 15916 solved: rounds:2,rules:3,peak:6,longest:6,steps:2,word:2,work:212,nodes:16,pairs:10,completionMax:45us [09m33s] 15916 ab:aba=bb,aabab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15916 ab:aba=bb,aabab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15917 solved: rounds:4,rules:4,peak:14,longest:9,steps:5,word:3,work:3858,nodes:44,pairs:103,completionMax:288us [09m33s] 15917 ab:aba=bb,aabba=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15917 ab:aba=bb,aabba=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15918 solved: rounds:4,rules:3,peak:13,longest:12,steps:5,word:6,work:4940,nodes:62,pairs:45,completionMax:290us [09m33s] 15918 ab:aba=bb,aabba=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15918 ab:aba=bb,aabba=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15919 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:6,work:469,nodes:34,pairs:11,completionMax:47us [09m33s] 15919 ab:aba=bb,aabbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15919 ab:aba=bb,aabbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15920 solved: rounds:3,rules:3,peak:9,longest:6,steps:7,word:0,work:1597,nodes:38,pairs:23,completionMax:111us [09m33s] 15920 ab:aba=bb,aabbb=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 ab - - ab:ba=ab,aab=bb,bbbb=b [09m33s] from: 15920 ab:aba=bb,aabbb=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=b,b=a [09m33s] # 15921 solved: rounds:3,rules:4,peak:8,longest:7,steps:5,word:2,work:874,nodes:32,pairs:19,completionMax:70us [09m33s] 15921 ab:aba=bb,abaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a/b - - ab:aaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15921 ab:aba=bb,abaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 a=a,b=b [09m33s] # 15922 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:2,work:218,nodes:18,pairs:10,completionMax:37us [09m33s] 15922 ab:aba=bb,abaab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15922 ab:aba=bb,abaab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15923 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:86,nodes:16,pairs:2,completionMax:14us [09m33s] 15923 ab:aba=bb,ababa=a infinite ab - - ab:aba=bb,abbb=a,bbba=a,bbbbb=bb [09m33s] from: 15923 ab:aba=bb,ababa=a infinite to: 5286 ab:aba=bb,abbb=a infinite a=a,b=b [09m33s] # 15924 solved: rounds:2,rules:3,peak:7,longest:6,steps:2,word:2,work:337,nodes:18,pairs:8,completionMax:40us [09m33s] 15924 ab:aba=bb,ababa=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15924 ab:aba=bb,ababa=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15925 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:60,nodes:18,pairs:2,completionMax:14us [09m33s] 15925 ab:aba=bb,ababb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15925 ab:aba=bb,ababb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15926 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:2,work:229,nodes:21,pairs:16,completionMax:49us [09m33s] 15926 ab:aba=bb,ababb=b infinite bc/a ba=c frequency:2/1 abc:bbb=cc,bcc=b,ccb=b,ccc=c,ab=bbcb,ac=bb,ba=c,ca=cbbc [09m33s] from: 15926 ab:aba=bb,ababb=b infinite to: 5293 ab:aba=bb,bbbb=b infinite a=a,b=b,c=c [09m33s] # 15927 solved: rounds:2,rules:2,peak:7,longest:9,steps:3,word:3,work:539,nodes:32,pairs:24,completionMax:98us [09m33s] 15927 ab:aba=bb,abbab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15927 ab:aba=bb,abbab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15928 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:0,work:1119,nodes:26,pairs:31,completionMax:137us [09m33s] 15928 ab:aba=bb,abbab=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 ab - - ab:ba=ab,aab=bb,bbbb=b [09m33s] from: 15928 ab:aba=bb,abbab=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=b,b=a [09m33s] # 15929 solved: rounds:3,rules:2,peak:8,longest:27,steps:8,word:20,work:3454,nodes:70,pairs:33,completionMax:240us [09m33s] 15929 ab:aba=bb,abbba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15929 ab:aba=bb,abbba=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15930 solved: rounds:3,rules:3,peak:7,longest:6,steps:5,word:0,work:1168,nodes:28,pairs:33,completionMax:93us [09m33s] 15930 ab:aba=bb,abbba=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 ab - - ab:ba=ab,aab=bb,bbbb=b [09m33s] from: 15930 ab:aba=bb,abbba=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=b,b=a [09m33s] # 15931 solved: rounds:4,rules:4,peak:10,longest:9,steps:4,word:2,work:1644,nodes:52,pairs:48,completionMax:171us [09m33s] 15931 ab:aba=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15931 ab:aba=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a=a,b=b [09m33s] # 15932 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:3,work:266,nodes:20,pairs:10,completionMax:44us [09m33s] 15932 ab:aba=bb,abbbb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbb=b,ab=bbbbb,ba=bbbbb [09m33s] # 15933 solved: rounds:3,rules:5,peak:9,longest:8,steps:6,word:2,work:1773,nodes:46,pairs:23,completionMax:106us [09m33s] 15933 ab:aba=bb,baaab=a finite:20;idempotents:1,aaaaaa;center:1,aa,aaaa,aaaaaa a/b - - ab:aaaaaaa=a,abaaaaaa=ab,aab=baa,bb=aba,bab=aaaaa [09m33s] # 15934 solved: rounds:3,rules:3,peak:15,longest:9,steps:3,word:4,work:3058,nodes:44,pairs:41,completionMax:226us [09m33s] 15934 ab:aba=bb,baaab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 b/a - - ab:bbbbbb=b,ab=bbbb,ba=bbbb [09m33s] from: 15934 ab:aba=bb,baaab=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 to: 5287 ab:aba=bb,abbb=b infinite;commutative:ab:b6=b,ab=b4;saturation:a:a5=1;noncancellative:aa,b,bbbb,bbbbb;smith:5 a=a,b=b [09m33s] # 15935 solved: rounds:2,rules:2,peak:8,longest:16,steps:7,word:13,work:1796,nodes:46,pairs:18,completionMax:114us [09m33s] 15935 ab:aba=bb,baabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15935 ab:aba=bb,baabb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15936 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:0,work:2413,nodes:38,pairs:71,completionMax:247us [09m33s] 15936 ab:aba=bb,baabb=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 ab - - ab:ba=ab,aab=bb,bbbb=b [09m33s] from: 15936 ab:aba=bb,baabb=b infinite;commutative:ab:a2b=b2,b4=b;saturation:a:a6=1;noncancellative:aa,b,ab,abb;smith:6 to: 14357 ab:aaaa=a,baaab=a infinite;commutative:ab:ab2=a2,a4=a;saturation:a:a6=1;noncancellative:bb,a,ab,aab;smith:6 a=b,b=a [09m33s] # 15937 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:61,nodes:18,pairs:2,completionMax:9us [09m33s] 15937 ab:aba=bb,babab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbb [09m33s] from: 15937 ab:aba=bb,babab=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbb,b=b [09m33s] # 15938 solved: rounds:3,rules:8,peak:9,longest:4,steps:3,word:2,work:230,nodes:21,pairs:16,completionMax:50us [09m33s] 15938 ab:aba=bb,babab=b infinite bc/a ba=c frequency:2/1 abc:bbb=cc,bcc=b,ccb=b,ccc=c,ab=bbcb,ac=bb,ba=c,ca=cbbc [09m33s] from: 15938 ab:aba=bb,babab=b infinite to: 5293 ab:aba=bb,bbbb=b infinite a=a,b=b,c=c [09m33s] # 15939 solved: rounds:2,rules:4,peak:6,longest:9,steps:3,word:3,work:807,nodes:28,pairs:30,completionMax:80us [09m33s] 15939 ab:aba=bb,babbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a/b - - ab:aaaaaaaaa=a,ba=aaa,ab=aaa,bb=aaaa [09m33s] from: 15939 ab:aba=bb,babbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 a=a,b=b [09m33s] # 15940 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:3,work:197,nodes:18,pairs:9,completionMax:27us [09m33s] 15940 ab:aba=bb,babbb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbb=b,ab=bbbbb,ba=bbbbb [09m33s] from: 15940 ab:aba=bb,babbb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 to: 15932 ab:aba=bb,abbbb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 a=a,b=b [09m33s] # 15941 solved: rounds:4,rules:4,peak:7,longest:19,steps:26,word:19,work:4304,nodes:78,pairs:15,completionMax:212us [09m33s] 15941 ab:aba=bb,bbabb=a finite:26;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=bb,abbbbbbbbbbbb=a,ba=abbbbb,aa=bbbbbbbbb [09m33s] # 15942 solved: rounds:3,rules:3,peak:9,longest:9,steps:5,word:6,work:1713,nodes:28,pairs:26,completionMax:132us [09m33s] 15942 ab:aba=bb,bbabb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 b/a - - ab:bbbbbbbb=b,ab=bbbbb,ba=bbbbb [09m33s] from: 15942 ab:aba=bb,bbabb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 to: 15932 ab:aba=bb,abbbb=b infinite;commutative:ab:b8=b,ab=b5;saturation:a:a7=1;noncancellative:aa,b,bbbbb,bbbbbb;smith:7 a=a,b=b [09m33s] # 15943 solved: rounds:1,rules:2,peak:2,longest:11,steps:1,word:4,work:68,nodes:22,pairs:2,completionMax:9us [09m33s] 15943 ab:aba=bb,bbbbb=a finite:11;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b2,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 b/a - - ab:bbbbbbbbbbb=bb,a=bbbbb [09m33s] from: 15943 ab:aba=bb,bbbbb=a finite:11;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b2,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=aaaaa,b=a [09m33s] # 15944 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:369,nodes:18,pairs:11,completionMax:32us [09m33s] 15944 ab:aba=bb,bbbbb=b infinite;commutative:ab:a2b=b2,b5=b;saturation:a:a8=1;noncancellative:aa,b,ab,abb;smith:8 ab - - ab:ba=ab,aab=bb,bbbbb=b [09m33s] # 15945 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:24,nodes:6,pairs:0,completionMax:2us [09m33s] 15945 ab:aaa=aa,aaaa=aa infinite ab - - ab:aaa=aa [09m33s] # 15946 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:6,pairs:0,completionMax:3us [09m33s] 15946 ab:aaa=aa,aaaa=ab infinite ab - - ab:ab=aa,aaa=aa [09m33s] from: 15946 ab:aaa=aa,aaaa=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [09m33s] # 15947 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:142,nodes:12,pairs:5,completionMax:16us [09m33s] 15947 ab:aaa=aa,aaaa=bb infinite ba - - ab:aa=bb,bba=bb,abb=bb,bbbb=bb [09m33s] from: 15947 ab:aaa=aa,aaaa=bb infinite to: 2270 ab:bb=aa,aaa=aa infinite a=a,b=b [09m33s] # 15948 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:6,pairs:0,completionMax:3us [09m33s] 15948 ab:aaa=aa,aaab=aa infinite ab - - ab:aaa=aa,aab=aa [09m33s] from: 15948 ab:aaa=aa,aaab=aa infinite to: 5294 ab:aaa=aa,aab=aa infinite a=a,b=b [09m33s] # 15949 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:6,pairs:0,completionMax:4us [09m33s] 15949 ab:aaa=aa,aaab=ab infinite ab - - ab:aaa=aa,aab=ab [09m33s] from: 15949 ab:aaa=aa,aaab=ab infinite to: 5295 ab:aaa=aa,aab=ab infinite a=a,b=b [09m33s] # 15950 solved: rounds:0,rules:2,peak:2,longest:3,steps:6,word:2,work:58,nodes:6,pairs:0,completionMax:5us [09m33s] 15950 ab:aaa=aa,aaab=ba infinite reversed:a/b - - ab:aaa=aa,ba=aab [09m33s] from: 15950 ab:aaa=aa,aaab=ba infinite to: 5296 ab:aaa=aa,aab=ba infinite a=a,b=b [09m33s] # 15951 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:93,nodes:12,pairs:1,completionMax:5us [09m33s] 15951 ab:aaa=aa,aaab=bb infinite a/b - - ab:aaa=aa,bb=aab,baab=aab [09m33s] from: 15951 ab:aaa=aa,aaab=bb infinite to: 5297 ab:aaa=aa,aab=bb infinite a=a,b=b [09m33s] # 15952 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:65,nodes:8,pairs:0,completionMax:3us [09m33s] 15952 ab:aaa=aa,aaba=aa infinite ab - - ab:aaa=aa,aaba=aa [09m33s] # 15953 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:123,nodes:12,pairs:7,completionMax:13us [09m33s] 15953 ab:aaa=aa,aaba=ab infinite acb ab=c frequency:2/1 abc:ac=c,ab=c,ca=c,cb=cc,aaa=aa [09m33s] # 15954 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:143,nodes:18,pairs:6,completionMax:19us [09m33s] 15954 ab:aaa=aa,aaba=ba infinite acb ba=c frequency:2/1 abc:ac=c,ba=c,bc=cc,aaa=aa,caa=ca [09m33s] # 15955 solved: rounds:2,rules:4,peak:4,longest:6,steps:11,word:2,work:554,nodes:20,pairs:3,completionMax:26us [09m33s] 15955 ab:aaa=aa,aaba=bb infinite a/b - - ab:aaa=aa,bb=aaba,abaaba=baaba,aabab=baaba [09m33s] # 15956 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:38,nodes:8,pairs:0,completionMax:3us [09m33s] 15956 ab:aaa=aa,aabb=aa infinite ab - - ab:aaa=aa,aabb=aa [09m33s] # 15957 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:71,nodes:8,pairs:3,completionMax:9us [09m33s] 15957 ab:aaa=aa,aabb=ab infinite ab - - ab:aaa=aa,aab=ab,abb=ab [09m33s] # 15958 solved: rounds:3,rules:4,peak:5,longest:4,steps:6,word:0,work:375,nodes:16,pairs:9,completionMax:28us [09m33s] 15958 ab:aaa=aa,aabb=ba infinite ab - - ab:aaa=aa,aba=ba,bba=baa,aabb=ba [09m33s] # 15959 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:44,nodes:10,pairs:1,completionMax:6us [09m33s] 15959 ab:aaa=aa,aabb=bb infinite ab - - ab:aaa=aa,abb=bb [09m33s] from: 15959 ab:aaa=aa,aabb=bb infinite to: 5304 ab:aaa=aa,abb=bb infinite a=a,b=b [09m33s] # 15960 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:1,work:96,nodes:10,pairs:1,completionMax:6us [09m33s] 15960 ab:aaa=aa,abab=aa infinite a/b - - ab:aaa=aa,aab=abaa,abab=aa [09m33s] # 15961 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:34,nodes:10,pairs:0,completionMax:2us [09m33s] 15961 ab:aaa=aa,abab=ab infinite ab - - ab:aaa=aa,abab=ab [09m33s] # 15962 solved: rounds:3,rules:5,peak:9,longest:5,steps:6,word:0,work:2487,nodes:26,pairs:57,completionMax:160us [09m33s] 15962 ab:aaa=aa,abab=ba infinite ab - - ab:aaa=aa,aba=ba,bab=ba,bba=baa,baab=baa [09m33s] # 15963 solved: rounds:2,rules:6,peak:6,longest:5,steps:3,word:0,work:350,nodes:28,pairs:4,completionMax:29us [09m33s] 15963 ab:aaa=aa,abab=bb infinite ab - - ab:aaa=aa,aabb=abb,abab=bb,bbab=abbb,abbbb=bbbb,babbb=bbbb [09m33s] # 15964 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:60,nodes:10,pairs:0,completionMax:4us [09m33s] 15964 ab:aaa=aa,abba=aa infinite ab - - ab:aaa=aa,abba=aa [09m33s] # 15965 solved: rounds:2,rules:3,peak:6,longest:5,steps:5,word:0,work:439,nodes:14,pairs:8,completionMax:30us [09m33s] 15965 ab:aaa=aa,abba=ab infinite ab - - ab:aaa=aa,aba=ab,abb=ab [09m33s] # 15966 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:369,nodes:22,pairs:9,completionMax:33us [09m33s] 15966 ab:aaa=aa,abba=bb infinite ab - - ab:aaa=aa,abb=bb,bba=bb [09m33s] # 15967 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:2us [09m33s] 15967 ab:aaa=aa,abbb=aa infinite ab - - ab:aaa=aa,abbb=aa [09m33s] # 15968 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:10,pairs:0,completionMax:2us [09m33s] 15968 ab:aaa=aa,abbb=ab infinite ab - - ab:aaa=aa,abbb=ab [09m33s] # 15969 solved: rounds:1,rules:3,peak:3,longest:29,steps:31,word:52,work:896,nodes:60,pairs:1,completionMax:31us [09m33s] 15969 ab:aaa=aa,abbb=ba infinite b/a - - ab:ba=abbb,aabbbbbbbbbbbbbbbbbbbbbbbbbbb=aabbbbbbbbb,aaa=aa [09m33s] # 15970 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:99,nodes:12,pairs:3,completionMax:18us [09m33s] 15970 ab:aaa=aa,abbb=bb infinite ab - - ab:aaa=aa,abb=bb,bbb=bb [09m33s] # 15971 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:258,nodes:12,pairs:4,completionMax:16us [09m33s] 15971 ab:aaa=aa,baab=aa infinite ab - - ab:aaa=aa,baa=aab,aaba=aab,aabb=aa [09m33s] # 15972 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:90,nodes:12,pairs:2,completionMax:13us [09m33s] 15972 ab:aaa=aa,baab=ab infinite ab - - ab:aaa=aa,aab=ab,bab=ab [09m33s] # 15973 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:12,pairs:0,completionMax:2us [09m33s] 15973 ab:aaa=aa,baab=bb infinite ab - - ab:aaa=aa,baab=bb [09m33s] # 15974 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:240,nodes:22,pairs:3,completionMax:21us [09m33s] 15974 ab:aaa=aa,babb=aa infinite a/b - - ab:aaa=aa,ababaa=babaa,aabb=babaa,babb=aa [09m33s] # 15975 solved: rounds:3,rules:7,peak:7,longest:6,steps:6,word:0,work:757,nodes:24,pairs:10,completionMax:48us [09m33s] 15975 ab:aaa=aa,babb=ab infinite ab - - ab:aaa=aa,baab=aabb,babb=ab,aabab=aabb,aabbb=aab,babab=aab,aabbab=aab [09m33s] # 15976 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:83,nodes:16,pairs:1,completionMax:5us [09m33s] 15976 ab:aaa=aa,babb=ba infinite ab - - ab:aaa=aa,babb=ba,baabb=baa [09m33s] # 15977 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:12,pairs:0,completionMax:3us [09m33s] 15977 ab:aaa=aa,babb=bb infinite ab - - ab:aaa=aa,babb=bb [09m33s] # 15978 solved: rounds:1,rules:4,peak:4,longest:8,steps:2,word:4,work:326,nodes:24,pairs:5,completionMax:28us [09m33s] 15978 ab:aaa=aa,bbbb=aa infinite b/a - - ab:bbbbbbbb=bbbb,abbbb=bbbb,bbbba=bbbb,aa=bbbb [09m33s] # 15979 solved: rounds:1,rules:3,peak:3,longest:10,steps:3,word:4,work:300,nodes:24,pairs:1,completionMax:16us [09m33s] 15979 ab:aaa=aa,bbbb=ab finite:30;idempotents:1,aa,bbbbbbbbb,bbbbbbbbba,bbbbbbbbbaa b/a - - ab:bbbbbbbbbb=bbbbbbb,ab=bbbb,aaa=aa [09m33s] # 15980 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:34,nodes:12,pairs:0,completionMax:4us [09m33s] 15980 ab:aaa=aa,bbbb=bb infinite ab - - ab:aaa=aa,bbbb=bb [09m33s] # 15981 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:1,work:31,nodes:8,pairs:0,completionMax:3us [09m33s] 15981 ab:aaa=ab,aaaa=aa infinite a/b - - ab:aaaa=aa,ab=aaa [09m33s] from: 15981 ab:aaa=ab,aaaa=aa infinite to: 5311 ab:aaa=ab,aab=aa infinite a=a,b=b [09m33s] # 15982 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:74,nodes:8,pairs:0,completionMax:3us [09m33s] 15982 ab:aaa=ab,aaaa=ab infinite a/b - - ab:aaaa=aaa,ab=aaa [09m33s] from: 15982 ab:aaa=ab,aaaa=ab infinite to: 5312 ab:aaa=ab,aab=ab infinite a=a,b=b [09m33s] # 15983 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:2,work:174,nodes:12,pairs:1,completionMax:10us [09m33s] 15983 ab:aaa=ab,aaaa=ba infinite a/b - - ab:aaaaa=aaaa,ba=aaaa,ab=aaa [09m33s] from: 15983 ab:aaa=ab,aaaa=ba infinite to: 5313 ab:aaa=ab,aab=ba infinite a=a,b=b [09m33s] # 15984 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:26,nodes:12,pairs:1,completionMax:5us [09m33s] 15984 ab:aaa=ab,aaaa=bb infinite a/b - - ab:baaaa=aaaaaa,ab=aaa,bb=aaaa [09m33s] from: 15984 ab:aaa=ab,aaaa=bb infinite to: 5314 ab:aaa=ab,aab=bb infinite a=a,b=b [09m33s] # 15985 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:32,nodes:10,pairs:0,completionMax:4us [09m33s] 15985 ab:aaa=ab,aaab=aa infinite a/b - - ab:aaaaa=aa,ab=aaa [09m33s] from: 15985 ab:aaa=ab,aaab=aa infinite to: 5319 ab:aaa=ab,abb=aa infinite a=a,b=b [09m33s] # 15986 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:65,nodes:10,pairs:0,completionMax:4us [09m33s] 15986 ab:aaa=ab,aaab=ab infinite a/b - - ab:aaaaa=aaa,ab=aaa [09m33s] from: 15986 ab:aaa=ab,aaab=ab infinite to: 5320 ab:aaa=ab,abb=ab infinite a=a,b=b [09m33s] # 15987 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:139,nodes:14,pairs:1,completionMax:8us [09m33s] 15987 ab:aaa=ab,aaab=ba infinite a/b - - ab:aaaaaa=aaaa,ba=aaaaa,ab=aaa [09m33s] from: 15987 ab:aaa=ab,aaab=ba infinite to: 5321 ab:aaa=ab,abb=ba infinite a=a,b=b [09m33s] # 15988 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:1,work:518,nodes:22,pairs:2,completionMax:19us [09m33s] 15988 ab:aaa=ab,aaab=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a/b - - ab:aaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaa [09m33s] from: 15988 ab:aaa=ab,aaab=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa to: 5322 ab:aaa=ab,abb=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a=a,b=b [09m33s] # 15989 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:31,nodes:10,pairs:0,completionMax:7us [09m33s] 15989 ab:aaa=ab,aaba=aa infinite a/b - - ab:aaaaa=aa,ab=aaa [09m33s] from: 15989 ab:aaa=ab,aaba=aa infinite to: 5319 ab:aaa=ab,abb=aa infinite a=a,b=b [09m33s] # 15990 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:64,nodes:10,pairs:0,completionMax:6us [09m33s] 15990 ab:aaa=ab,aaba=ab infinite a/b - - ab:aaaaa=aaa,ab=aaa [09m33s] from: 15990 ab:aaa=ab,aaba=ab infinite to: 5320 ab:aaa=ab,abb=ab infinite a=a,b=b [09m33s] # 15991 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:138,nodes:14,pairs:1,completionMax:11us [09m33s] 15991 ab:aaa=ab,aaba=ba infinite a/b - - ab:aaaaaa=aaaa,ba=aaaaa,ab=aaa [09m33s] from: 15991 ab:aaa=ab,aaba=ba infinite to: 5321 ab:aaa=ab,abb=ba infinite a=a,b=b [09m33s] # 15992 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:1,work:517,nodes:22,pairs:2,completionMax:18us [09m33s] 15992 ab:aaa=ab,aaba=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a/b - - ab:aaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaa [09m33s] from: 15992 ab:aaa=ab,aaba=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa to: 5322 ab:aaa=ab,abb=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a=a,b=b [09m33s] # 15993 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:41,nodes:12,pairs:0,completionMax:5us [09m33s] 15993 ab:aaa=ab,aabb=aa infinite a/b - - ab:aaaaaa=aa,ab=aaa [09m33s] # 15994 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:56,nodes:12,pairs:0,completionMax:5us [09m33s] 15994 ab:aaa=ab,aabb=ab infinite a/b - - ab:aaaaaa=aaa,ab=aaa [09m33s] # 15995 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:4,work:122,nodes:16,pairs:1,completionMax:8us [09m33s] 15995 ab:aaa=ab,aabb=ba infinite a/b - - ab:aaaaaaa=aaaa,ba=aaaaaa,ab=aaa [09m33s] # 15996 solved: rounds:2,rules:4,peak:5,longest:7,steps:3,word:2,work:598,nodes:26,pairs:3,completionMax:25us [09m33s] 15996 ab:aaa=ab,aabb=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaaa [09m33s] # 15997 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:30,nodes:10,pairs:0,completionMax:3us [09m33s] 15997 ab:aaa=ab,abaa=aa infinite a/b - - ab:aaaaa=aa,ab=aaa [09m33s] from: 15997 ab:aaa=ab,abaa=aa infinite to: 5319 ab:aaa=ab,abb=aa infinite a=a,b=b [09m33s] # 15998 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:1,work:63,nodes:10,pairs:0,completionMax:4us [09m33s] 15998 ab:aaa=ab,abaa=ab infinite a/b - - ab:aaaaa=aaa,ab=aaa [09m33s] from: 15998 ab:aaa=ab,abaa=ab infinite to: 5320 ab:aaa=ab,abb=ab infinite a=a,b=b [09m33s] # 15999 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:137,nodes:14,pairs:1,completionMax:8us [09m33s] 15999 ab:aaa=ab,abaa=ba infinite a/b - - ab:aaaaaa=aaaa,ba=aaaaa,ab=aaa [09m33s] from: 15999 ab:aaa=ab,abaa=ba infinite to: 5321 ab:aaa=ab,abb=ba infinite a=a,b=b [09m33s] # 16000 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:1,work:516,nodes:22,pairs:2,completionMax:14us [09m33s] 16000 ab:aaa=ab,abaa=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a/b - - ab:aaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaa [09m33s] from: 16000 ab:aaa=ab,abaa=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa to: 5322 ab:aaa=ab,abb=bb finite:11;idempotents:1,aaaaa;center:1,aaaaa,baaaa a=a,b=b [09m33s] # 16001 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:40,nodes:12,pairs:0,completionMax:7us [09m33s] 16001 ab:aaa=ab,abab=aa infinite a/b - - ab:aaaaaa=aa,ab=aaa [09m33s] from: 16001 ab:aaa=ab,abab=aa infinite to: 15993 ab:aaa=ab,aabb=aa infinite a=a,b=b [09m33s] # 16002 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:55,nodes:12,pairs:0,completionMax:6us [09m33s] 16002 ab:aaa=ab,abab=ab infinite a/b - - ab:aaaaaa=aaa,ab=aaa [09m33s] from: 16002 ab:aaa=ab,abab=ab infinite to: 15994 ab:aaa=ab,aabb=ab infinite a=a,b=b [09m33s] # 16003 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:4,work:121,nodes:16,pairs:1,completionMax:12us [09m33s] 16003 ab:aaa=ab,abab=ba infinite a/b - - ab:aaaaaaa=aaaa,ba=aaaaaa,ab=aaa [09m33s] from: 16003 ab:aaa=ab,abab=ba infinite to: 15995 ab:aaa=ab,aabb=ba infinite a=a,b=b [09m33s] # 16004 solved: rounds:2,rules:4,peak:5,longest:7,steps:3,word:2,work:597,nodes:26,pairs:3,completionMax:30us [09m33s] 16004 ab:aaa=ab,abab=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaaa [09m33s] from: 16004 ab:aaa=ab,abab=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa to: 15996 ab:aaa=ab,aabb=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a=a,b=b [09m33s] # 16005 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:39,nodes:12,pairs:0,completionMax:6us [09m33s] 16005 ab:aaa=ab,abba=aa infinite a/b - - ab:aaaaaa=aa,ab=aaa [09m33s] from: 16005 ab:aaa=ab,abba=aa infinite to: 15993 ab:aaa=ab,aabb=aa infinite a=a,b=b [09m33s] # 16006 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:54,nodes:12,pairs:0,completionMax:4us [09m33s] 16006 ab:aaa=ab,abba=ab infinite a/b - - ab:aaaaaa=aaa,ab=aaa [09m33s] from: 16006 ab:aaa=ab,abba=ab infinite to: 15994 ab:aaa=ab,aabb=ab infinite a=a,b=b [09m33s] # 16007 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:4,work:120,nodes:16,pairs:1,completionMax:12us [09m33s] 16007 ab:aaa=ab,abba=ba infinite a/b - - ab:aaaaaaa=aaaa,ba=aaaaaa,ab=aaa [09m33s] from: 16007 ab:aaa=ab,abba=ba infinite to: 15995 ab:aaa=ab,aabb=ba infinite a=a,b=b [09m33s] # 16008 solved: rounds:2,rules:4,peak:5,longest:7,steps:3,word:2,work:596,nodes:26,pairs:3,completionMax:30us [09m33s] 16008 ab:aaa=ab,abba=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaaaa=aaaaa,ab=aaa,bb=aaaaaa [09m33s] from: 16008 ab:aaa=ab,abba=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa to: 15996 ab:aaa=ab,aabb=bb finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a=a,b=b [09m33s] # 16009 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:50,nodes:14,pairs:0,completionMax:10us [09m33s] 16009 ab:aaa=ab,abbb=aa infinite a/b - - ab:aaaaaaa=aa,ab=aaa [09m33s] # 16010 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:67,nodes:14,pairs:0,completionMax:7us [09m33s] 16010 ab:aaa=ab,abbb=ab infinite a/b - - ab:aaaaaaa=aaa,ab=aaa [09m33s] # 16011 solved: rounds:1,rules:3,peak:3,longest:8,steps:3,word:5,work:125,nodes:18,pairs:1,completionMax:13us [09m33s] 16011 ab:aaa=ab,abbb=ba infinite a/b - - ab:aaaaaaaa=aaaa,ba=aaaaaaa,ab=aaa [09m33s] # 16012 solved: rounds:2,rules:4,peak:5,longest:8,steps:3,word:3,work:621,nodes:30,pairs:5,completionMax:36us [09m33s] 16012 ab:aaa=ab,abbb=bb finite:13;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aaaaa,baaaaa=aaaaaaa,ab=aaa,bb=aaaaaaa [09m33s] # 16013 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:1,work:242,nodes:18,pairs:3,completionMax:28us [09m33s] 16013 ab:aaa=ab,baaa=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,ab=aaa [09m33s] from: 16013 ab:aaa=ab,baaa=aa infinite to: 5327 ab:aaa=ab,bab=aa infinite a=a,b=b [09m33s] # 16014 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:147,nodes:18,pairs:1,completionMax:12us [09m33s] 16014 ab:aaa=ab,baaa=ab infinite a/b - - ab:aaaaaa=aaaa,baaa=aaa,ab=aaa [09m33s] from: 16014 ab:aaa=ab,baaa=ab infinite to: 5328 ab:aaa=ab,bab=ab infinite a=a,b=b [09m33s] # 16015 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:152,nodes:18,pairs:1,completionMax:13us [09m33s] 16015 ab:aaa=ab,baaa=ba infinite a/b - - ab:aaaaaa=aaaa,baaa=ba,ab=aaa [09m33s] from: 16015 ab:aaa=ab,baaa=ba infinite to: 5329 ab:aaa=ab,bab=ba infinite a=a,b=b [09m33s] # 16016 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:236,nodes:14,pairs:2,completionMax:13us [09m33s] 16016 ab:aaa=ab,baaa=bb finite:12;idempotents:1,aaaaa,baaaaa a/b - - ab:aaaaaa=aaaaa,ab=aaa,bb=baaa [09m33s] from: 16016 ab:aaa=ab,baaa=bb finite:12;idempotents:1,aaaaa,baaaaa to: 5330 ab:aaa=ab,bab=bb finite:12;idempotents:1,aaaaa,baaaaa a=a,b=b [09m33s] # 16017 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:408,nodes:22,pairs:5,completionMax:49us [09m33s] 16017 ab:aaa=ab,baab=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,ab=aaa [09m33s] # 16018 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:1,work:431,nodes:22,pairs:3,completionMax:41us [09m33s] 16018 ab:aaa=ab,baab=ab infinite a/b - - ab:aaaaaa=aaa,baaa=aaaaa,ab=aaa [09m33s] # 16019 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:1,work:146,nodes:22,pairs:1,completionMax:12us [09m33s] 16019 ab:aaa=ab,baab=ba infinite a/b - - ab:aaaaaaa=aaaa,baaaa=ba,ab=aaa [09m33s] # 16020 solved: rounds:1,rules:3,peak:3,longest:7,steps:3,word:3,work:179,nodes:16,pairs:2,completionMax:9us [09m33s] 16020 ab:aaa=ab,baab=bb finite:14;idempotents:1,aaaaaa,baaaaaa a/b - - ab:aaaaaaa=aaaaa,ab=aaa,bb=baaaa [09m33s] # 16021 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:407,nodes:22,pairs:5,completionMax:29us [09m33s] 16021 ab:aaa=ab,baba=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,ab=aaa [09m33s] from: 16021 ab:aaa=ab,baba=aa infinite to: 16017 ab:aaa=ab,baab=aa infinite a=a,b=b [09m33s] # 16022 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:1,work:430,nodes:22,pairs:3,completionMax:40us [09m33s] 16022 ab:aaa=ab,baba=ab infinite a/b - - ab:aaaaaa=aaa,baaa=aaaaa,ab=aaa [09m33s] from: 16022 ab:aaa=ab,baba=ab infinite to: 16018 ab:aaa=ab,baab=ab infinite a=a,b=b [09m33s] # 16023 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:1,work:145,nodes:22,pairs:1,completionMax:13us [09m33s] 16023 ab:aaa=ab,baba=ba infinite a/b - - ab:aaaaaaa=aaaa,baaaa=ba,ab=aaa [09m33s] from: 16023 ab:aaa=ab,baba=ba infinite to: 16019 ab:aaa=ab,baab=ba infinite a=a,b=b [09m33s] # 16024 solved: rounds:1,rules:3,peak:3,longest:7,steps:3,word:3,work:178,nodes:16,pairs:2,completionMax:12us [09m33s] 16024 ab:aaa=ab,baba=bb finite:14;idempotents:1,aaaaaa,baaaaaa a/b - - ab:aaaaaaa=aaaaa,ab=aaa,bb=baaaa [09m33s] from: 16024 ab:aaa=ab,baba=bb finite:14;idempotents:1,aaaaaa,baaaaaa to: 16020 ab:aaa=ab,baab=bb finite:14;idempotents:1,aaaaaa,baaaaaa a=a,b=b [09m33s] # 16025 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:2,work:419,nodes:26,pairs:6,completionMax:55us [09m33s] 16025 ab:aaa=ab,babb=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaa,ab=aaa [09m33s] # 16026 solved: rounds:3,rules:3,peak:5,longest:8,steps:2,word:2,work:655,nodes:26,pairs:7,completionMax:43us [09m33s] 16026 ab:aaa=ab,babb=ab infinite a/b - - ab:aaaaaaa=aaa,baaa=aaaaa,ab=aaa [09m33s] # 16027 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:144,nodes:26,pairs:1,completionMax:23us [09m33s] 16027 ab:aaa=ab,babb=ba infinite a/b - - ab:aaaaaaaa=aaaa,baaaaa=ba,ab=aaa [09m33s] # 16028 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:4,work:158,nodes:18,pairs:2,completionMax:9us [09m33s] 16028 ab:aaa=ab,babb=bb finite:16;idempotents:1,aaaaaa,baaaaaaa a/b - - ab:aaaaaaaa=aaaaa,ab=aaa,bb=baaaaa [09m33s] # 16029 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:1,work:86,nodes:20,pairs:1,completionMax:11us [09m33s] 16029 ab:aaa=ab,bbaa=aa infinite a/b - - ab:aaaaaaa=aaa,ab=aaa,bbaa=aa [09m33s] # 16030 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:1,work:118,nodes:20,pairs:1,completionMax:13us [09m33s] 16030 ab:aaa=ab,bbaa=ab infinite a/b - - ab:aaaaaaa=aaaa,ab=aaa,bbaa=aaa [09m33s] # 16031 solved: rounds:5,rules:4,peak:5,longest:7,steps:2,word:1,work:412,nodes:30,pairs:5,completionMax:53us [09m33s] 16031 ab:aaa=ab,bbaa=ba infinite a/b - - ab:aaaaaaa=aaaa,baaaa=ba,ab=aaa,bba=baaa [09m33s] # 16032 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:272,nodes:20,pairs:2,completionMax:15us [09m33s] 16032 ab:aaa=ab,bbaa=bb finite:16;idempotents:1,bb,aaaaaa,baaaaaa a/b - - ab:aaaaaaa=aaaaa,ab=aaa,bbaa=bb,bbb=bb [09m33s] # 16033 solved: rounds:3,rules:3,peak:4,longest:8,steps:2,word:2,work:339,nodes:24,pairs:3,completionMax:28us [09m33s] 16033 ab:aaa=ab,bbab=aa infinite a/b - - ab:aaaaaaa=aa,ab=aaa,bbaa=aaaaaa [09m33s] # 16034 solved: rounds:1,rules:3,peak:3,longest:8,steps:1,word:1,work:135,nodes:24,pairs:1,completionMax:10us [09m33s] 16034 ab:aaa=ab,bbab=ab infinite a/b - - ab:aaaaaaaa=aaaa,ab=aaa,bbaaa=aaa [09m33s] # 16035 solved: rounds:5,rules:4,peak:5,longest:8,steps:2,word:1,work:423,nodes:34,pairs:6,completionMax:42us [09m33s] 16035 ab:aaa=ab,bbab=ba infinite a/b - - ab:aaaaaaaa=aaaa,baaaaa=ba,ab=aaa,bba=baaa [09m33s] # 16036 solved: rounds:1,rules:4,peak:4,longest:8,steps:4,word:2,work:302,nodes:24,pairs:2,completionMax:21us [09m33s] 16036 ab:aaa=ab,bbab=bb finite:19;idempotents:1,bbaa,aaaaaa,baaaaaaa a/b - - ab:aaaaaaaa=aaaaa,ab=aaa,bbaaa=bb,bbb=bbaa [09m33s] # 16037 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:89,nodes:22,pairs:1,completionMax:12us [09m33s] 16037 ab:aaa=ab,bbba=aa infinite a/b - - ab:aaaaaaaa=aaa,ab=aaa,bbba=aa [09m33s] # 16038 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:109,nodes:22,pairs:1,completionMax:14us [09m33s] 16038 ab:aaa=ab,bbba=ab infinite a/b - - ab:aaaaaaaa=aaaa,ab=aaa,bbba=aaa [09m33s] # 16039 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:109,nodes:22,pairs:1,completionMax:11us [09m33s] 16039 ab:aaa=ab,bbba=ba infinite a/b - - ab:aaaaaaaa=aaaa,ab=aaa,bbba=ba [09m33s] # 16040 solved: rounds:2,rules:4,peak:4,longest:8,steps:3,word:2,work:353,nodes:24,pairs:5,completionMax:32us [09m33s] 16040 ab:aaa=ab,bbba=bb finite:19;idempotents:1,bbaa,aaaaaa,baaaaaaa a/b - - ab:aaaaaaaa=aaaaa,ab=aaa,bbaaa=bb,bbb=bbaa [09m33s] from: 16040 ab:aaa=ab,bbba=bb finite:19;idempotents:1,bbaa,aaaaaa,baaaaaaa to: 16036 ab:aaa=ab,bbab=bb finite:19;idempotents:1,bbaa,aaaaaa,baaaaaaa a=a,b=b [09m33s] # 16041 solved: rounds:1,rules:4,peak:4,longest:9,steps:4,word:3,work:183,nodes:26,pairs:4,completionMax:22us [09m33s] 16041 ab:aaa=ab,bbbb=aa finite:15;idempotents:1,aaaaaa;center:1,aa,aaa,aaaa,bbba,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaa,ab=aaa,bbbb=aa [09m33s] # 16042 solved: rounds:1,rules:4,peak:4,longest:9,steps:4,word:3,work:254,nodes:28,pairs:4,completionMax:21us [09m33s] 16042 ab:aaa=ab,bbbb=ab finite:18;idempotents:1,aaaaa;center:1,aaa,aaaa,aaaaa,bbbaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,baaa=aaaaa,ab=aaa,bbbb=aaa [09m33s] # 16043 solved: rounds:1,rules:5,peak:5,longest:9,steps:3,word:3,work:300,nodes:36,pairs:4,completionMax:30us [09m33s] 16043 ab:aaa=ab,bbbb=ba finite:18;idempotents:1,baaa,aaaaa a/b - - ab:aaaaaaaaa=aaaa,baaaaaaa=baa,ab=aaa,bba=baaa,bbbb=ba [09m33s] # 16044 solved: rounds:1,rules:3,peak:3,longest:9,steps:3,word:3,work:163,nodes:24,pairs:1,completionMax:17us [09m33s] 16044 ab:aaa=ab,bbbb=bb finite:36;idempotents:1,bb,baaaaaa,aaaaaaaa,bbbaaaaaa,bbaaaaaaaa a/b - - ab:aaaaaaaaa=aaaaa,ab=aaa,bbbb=bb [09m33s] # 16045 solved: rounds:1,rules:4,peak:5,longest:6,steps:7,word:2,work:420,nodes:20,pairs:7,completionMax:29us [09m33s] 16045 ab:aaa=bb,aaaa=aa infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aa=bbbb [09m33s] from: 16045 ab:aaa=bb,aaaa=aa infinite to: 5345 ab:aaa=bb,abb=aa infinite a=a,b=b [09m33s] # 16046 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:2,work:230,nodes:20,pairs:2,completionMax:17us [09m33s] 16046 ab:aaa=bb,aaaa=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=aaaaaa,ab=aaaa,bb=aaa [09m33s] from: 16046 ab:aaa=bb,aaaa=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa to: 5346 ab:aaa=bb,abb=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a=a,b=b [09m33s] # 16047 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:102,nodes:14,pairs:3,completionMax:9us [09m33s] 16047 ab:aaa=bb,aaaa=bb infinite ab - - ab:aaa=bb,abb=bb,bba=bb,bbbb=bb [09m33s] from: 16047 ab:aaa=bb,aaaa=bb infinite to: 5348 ab:aaa=bb,abb=bb infinite a=a,b=b [09m33s] # 16048 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:3,work:273,nodes:20,pairs:7,completionMax:32us [09m33s] 16048 ab:aaa=bb,aaab=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aaa [09m33s] from: 16048 ab:aaa=bb,aaab=aa infinite to: 5352 ab:aaa=bb,bbb=aa infinite a=a,b=b [09m33s] # 16049 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:123,nodes:18,pairs:3,completionMax:16us [09m33s] 16049 ab:aaa=bb,aaab=ab finite:11;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbb,ab=bbb,bba=bbbb,aaa=bb [09m33s] # 16050 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:126,nodes:20,pairs:3,completionMax:13us [09m33s] 16050 ab:aaa=bb,aaab=ba finite:11;idempotents:1,bbbb;center:1,bb,aab,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbb,abb=bbbb,ba=bbb,aaa=bb [09m33s] from: 16050 ab:aaa=bb,aaab=ba finite:11;idempotents:1,bbbb;center:1,bb,aab,bbb,bbbb,bbbbb,bbbbbb to: 5335 ab:aaa=ab,bbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,bba,aaaa,aaaaa,aaaaaa a=b,b=a [09m33s] # 16051 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:1,work:158,nodes:18,pairs:2,completionMax:12us [09m33s] 16051 ab:aaa=bb,aaab=bb infinite a/b - - ab:aaaaaa=aaa,baaa=aaa,aaab=aaa,bb=aaa [09m33s] from: 16051 ab:aaa=bb,aaab=bb infinite to: 5308 ab:aaa=aa,bbb=aa infinite a=b,b=a [09m33s] # 16052 solved: rounds:3,rules:5,peak:7,longest:8,steps:3,word:3,work:888,nodes:32,pairs:13,completionMax:65us [09m33s] 16052 ab:aaa=bb,aaba=aa infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aaba=aa,aaab=aaaaaaa,bb=aaa [09m33s] # 16053 solved: rounds:3,rules:4,peak:7,longest:10,steps:9,word:8,work:2031,nodes:40,pairs:28,completionMax:127us [09m33s] 16053 ab:aaa=bb,aaba=ab finite:19;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=aaaa,baaaaaaaaa=baaa,ab=baaaaa,bb=aaa [09m33s] # 16054 solved: rounds:2,rules:4,peak:7,longest:7,steps:3,word:2,work:569,nodes:24,pairs:20,completionMax:85us [09m33s] 16054 ab:aaa=bb,aaba=ba finite:11;idempotents:1,bbbb;center:1,bb,aab,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbb,abb=bbbb,ba=bbb,aaa=bb [09m33s] from: 16054 ab:aaa=bb,aaba=ba finite:11;idempotents:1,bbbb;center:1,bb,aab,bbb,bbbb,bbbbb,bbbbbb to: 5335 ab:aaa=ab,bbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,bba,aaaa,aaaaa,aaaaaa a=b,b=a [09m33s] # 16055 solved: rounds:3,rules:5,peak:6,longest:7,steps:3,word:1,work:641,nodes:28,pairs:4,completionMax:45us [09m33s] 16055 ab:aaa=bb,aaba=bb infinite reversed:a/b - - ab:aaaaaaa=aaaa,aaaab=aaaa,aaba=aaa,baaa=aaab,bb=aaa [09m33s] # 16056 solved: rounds:3,rules:9,peak:10,longest:5,steps:6,word:1,work:747,nodes:36,pairs:18,completionMax:57us [09m33s] 16056 ab:aaa=bb,aabb=aa infinite c/a/b aa=c frequency:2/0 abc:cccc=c,ac=ccc,ca=ccc,aa=c,cbccc=cb,cba=cbcc,cccb=bccc,abc=ccbc,bb=ccc [09m33s] # 16057 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:218,nodes:24,pairs:2,completionMax:16us [09m33s] 16057 ab:aaa=bb,aabb=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,baaa=aaaaaaa,ab=aaaaa,bb=aaa [09m33s] # 16058 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:217,nodes:20,pairs:2,completionMax:20us [09m33s] 16058 ab:aaa=bb,aabb=ba finite:12;idempotents:1,aaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,ba=aaaaa,aaab=aaaaaaa,bb=aaa [09m33s] # 16059 solved: rounds:1,rules:4,peak:5,longest:6,steps:3,word:2,work:215,nodes:20,pairs:4,completionMax:23us [09m33s] 16059 ab:aaa=bb,aabb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aaa=bb [09m33s] # 16060 solved: rounds:2,rules:5,peak:6,longest:10,steps:10,word:6,work:1904,nodes:24,pairs:17,completionMax:95us [09m33s] 16060 ab:aaa=bb,abab=aa finite:16;idempotents:1,aaa;center:1,aaa,baa,aaaa,baaa,aaaaa,baaaa,baaaaa a/b - - ab:aaaaaa=aaa,abaa=baaa,aab=baaaaa,bb=aaa,abab=aa [09m33s] # 16061 solved: rounds:4,rules:7,peak:9,longest:9,steps:4,word:3,work:1648,nodes:48,pairs:13,completionMax:113us [09m33s] 16061 ab:aaa=bb,abab=ab infinite b/a - - ab:bbbbbbbbb=bbbb,abbbb=bbbbbbbb,babbb=bbb,bba=abb,abab=ab,aaa=bb,abaabb=aabb [09m33s] # 16062 solved: rounds:2,rules:4,peak:11,longest:9,steps:3,word:3,work:2797,nodes:42,pairs:15,completionMax:147us [09m33s] 16062 ab:aaa=bb,abab=ba finite:12;idempotents:1,aaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,ba=aaaaa,aaab=aaaaaaa,bb=aaa [09m33s] from: 16062 ab:aaa=bb,abab=ba finite:12;idempotents:1,aaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 16058 ab:aaa=bb,aabb=ba finite:12;idempotents:1,aaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [09m33s] # 16063 solved: rounds:3,rules:6,peak:9,longest:11,steps:8,word:4,work:3206,nodes:60,pairs:15,completionMax:132us [09m33s] 16063 ab:aaa=bb,abab=bb infinite a/b - - ab:aaaaaaaaaaa=aaaaa,baaaaaaaaa=baaa,abaaa=baaaaaaaa,aaab=baaa,bb=aaa,abab=aaa [09m33s] # 16064 solved: rounds:3,rules:9,peak:10,longest:5,steps:6,word:1,work:746,nodes:36,pairs:18,completionMax:89us [09m33s] 16064 ab:aaa=bb,abba=aa infinite c/a/b aa=c frequency:2/0 abc:cccc=c,ac=ccc,ca=ccc,aa=c,cbccc=cb,cba=cbcc,cccb=bccc,abc=ccbc,bb=ccc [09m33s] from: 16064 ab:aaa=bb,abba=aa infinite to: 16056 ab:aaa=bb,aabb=aa infinite a=a,b=b,c=c [09m33s] # 16065 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:217,nodes:24,pairs:2,completionMax:22us [09m33s] 16065 ab:aaa=bb,abba=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,baaa=aaaaaaa,ab=aaaaa,bb=aaa [09m33s] from: 16065 ab:aaa=bb,abba=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 16057 ab:aaa=bb,aabb=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [09m33s] # 16066 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:1,work:388,nodes:24,pairs:15,completionMax:44us [09m33s] 16066 ab:aaa=bb,abba=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aaa=bb [09m33s] from: 16066 ab:aaa=bb,abba=bb infinite to: 16059 ab:aaa=bb,aabb=bb infinite a=a,b=b [09m33s] # 16067 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:4,work:351,nodes:24,pairs:8,completionMax:26us [09m33s] 16067 ab:aaa=bb,abbb=aa infinite a/b - - ab:aaaaaaaaa=aa,baa=aaaaaaa,aab=aaaaaaa,bb=aaa [09m33s] # 16068 solved: rounds:2,rules:5,peak:5,longest:7,steps:3,word:1,work:577,nodes:32,pairs:6,completionMax:29us [09m33s] 16068 ab:aaa=bb,abbb=ab infinite a/b - - ab:aaaaaaa=aaaa,baaaaaa=baaa,abaaa=ab,aaab=baaa,bb=aaa [09m33s] # 16069 solved: rounds:3,rules:4,peak:6,longest:29,steps:49,word:24,work:4574,nodes:72,pairs:48,completionMax:139us [09m33s] 16069 ab:aaa=bb,abbb=ba finite:13;idempotents:1,bbbb;center:1,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb b/a - - ab:bbbbb=bbb,abbbb=abb,ba=abbb,aaa=bb [09m33s] # 16070 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:3,work:349,nodes:22,pairs:8,completionMax:22us [09m33s] 16070 ab:aaa=bb,abbb=bb infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aaab=aaaaaaa,bb=aaa [09m33s] # 16071 solved: rounds:2,rules:4,peak:6,longest:9,steps:9,word:4,work:1601,nodes:32,pairs:20,completionMax:82us [09m33s] 16071 ab:aaa=bb,baab=aa infinite a/b - - ab:aaaaa=aa,abaa=baaa,aab=baa,bb=aaa [09m33s] # 16072 solved: rounds:2,rules:4,peak:7,longest:9,steps:3,word:6,work:983,nodes:28,pairs:16,completionMax:72us [09m33s] 16072 ab:aaa=bb,baab=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaa,baaa=aaaaaaa,ab=aaaaa,bb=aaa [09m33s] from: 16072 ab:aaa=bb,baab=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 16057 ab:aaa=bb,aabb=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [09m33s] # 16073 solved: rounds:3,rules:6,peak:7,longest:7,steps:5,word:2,work:750,nodes:32,pairs:11,completionMax:43us [09m33s] 16073 ab:aaa=bb,baab=bb infinite b/a - - ab:bbbbbbb=bbb,abbb=bbbbb,babb=bbbbb,bba=abb,baab=bb,aaa=bb [09m33s] # 16074 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:4,work:370,nodes:22,pairs:9,completionMax:33us [09m33s] 16074 ab:aaa=bb,babb=aa infinite a/b - - ab:aaaaaaaaa=aa,baa=aaaaaaa,aab=aaaaaaa,bb=aaa [09m33s] from: 16074 ab:aaa=bb,babb=aa infinite to: 16067 ab:aaa=bb,abbb=aa infinite a=a,b=b [09m33s] # 16075 solved: rounds:3,rules:4,peak:6,longest:19,steps:33,word:13,work:6302,nodes:62,pairs:50,completionMax:273us [09m33s] 16075 ab:aaa=bb,babb=ab finite:13;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa a/b - - ab:aaaaaaa=aaaa,baaaaaa=baaa,ab=baaaa,bb=aaa [09m33s] # 16076 solved: rounds:2,rules:5,peak:5,longest:7,steps:3,word:1,work:576,nodes:32,pairs:6,completionMax:40us [09m33s] 16076 ab:aaa=bb,babb=ba infinite reversed:a/b - - ab:aaaaaaa=aaaa,aaaaaab=aaab,aaaba=ba,baaa=aaab,bb=aaa [09m33s] from: 16076 ab:aaa=bb,babb=ba infinite to: 16068 ab:aaa=bb,abbb=ab infinite anti:a=a,b=b [09m33s] # 16077 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:3,work:355,nodes:22,pairs:9,completionMax:40us [09m33s] 16077 ab:aaa=bb,babb=bb infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aaab=aaaaaaa,bb=aaa [09m33s] from: 16077 ab:aaa=bb,babb=bb infinite to: 16070 ab:aaa=bb,abbb=bb infinite a=a,b=b [09m33s] # 16078 solved: rounds:1,rules:4,peak:4,longest:10,steps:2,word:5,work:276,nodes:24,pairs:6,completionMax:27us [09m33s] 16078 ab:aaa=bb,bbbb=aa infinite b/a - - ab:bbbbbbbbbb=bb,abb=bbbbbbbb,bba=bbbbbbbb,aa=bbbb [09m33s] # 16079 solved: rounds:1,rules:4,peak:4,longest:11,steps:2,word:4,work:239,nodes:28,pairs:2,completionMax:25us [09m33s] 16079 ab:aaa=bb,bbbb=ab finite:14;idempotents:1,aaaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaa=aaaa,baaa=aaaaaaaa,ab=aaaaaa,bb=aaa [09m33s] # 16080 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:74,nodes:12,pairs:2,completionMax:7us [09m33s] 16080 ab:aaa=bb,bbbb=bb infinite ab - - ab:aaa=bb,bba=abb,bbbb=bb [09m33s] # 16081 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:8,pairs:0,completionMax:4us [09m33s] 16081 ab:aab=aa,aaaa=aa infinite ab - - ab:aab=aa,aaaa=aa [09m33s] # 16082 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:2,work:38,nodes:10,pairs:1,completionMax:5us [09m33s] 16082 ab:aab=aa,aaaa=ab infinite a/b - - ab:aaaaa=aa,ab=aaaa [09m33s] # 16083 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:85,nodes:14,pairs:1,completionMax:10us [09m33s] 16083 ab:aab=aa,aaaa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaa,aab=aa [09m33s] # 16084 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:172,nodes:20,pairs:4,completionMax:25us [09m33s] 16084 ab:aab=aa,aaaa=bb infinite a/b - - ab:aaaaaa=aa,baa=aa,aab=aa,bb=aaaa [09m33s] # 16085 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:40,nodes:6,pairs:0,completionMax:3us [09m33s] 16085 ab:aab=aa,aaab=aa infinite ab - - ab:aaa=aa,aab=aa [09m33s] from: 16085 ab:aab=aa,aaab=aa infinite to: 5294 ab:aaa=aa,aab=aa infinite a=a,b=b [09m33s] # 16086 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:35,nodes:8,pairs:1,completionMax:7us [09m33s] 16086 ab:aab=aa,aaab=ab infinite a/b - - ab:aaaa=aa,ab=aaa [09m33s] from: 16086 ab:aab=aa,aaab=ab infinite to: 5311 ab:aaa=ab,aab=aa infinite a=a,b=b [09m33s] # 16087 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:87,nodes:12,pairs:1,completionMax:11us [09m33s] 16087 ab:aab=aa,aaab=ba infinite a/b - - ab:aaaaa=aaa,ba=aaa,aab=aa [09m33s] # 16088 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:144,nodes:16,pairs:3,completionMax:23us [09m33s] 16088 ab:aab=aa,aaab=bb infinite a/b - - ab:aaaaa=aa,baa=aa,aab=aa,bb=aaa [09m33s] from: 16088 ab:aab=aa,aaab=bb infinite to: 5338 ab:aaa=bb,aab=aa infinite a=a,b=b [09m33s] # 16089 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:6,pairs:0,completionMax:3us [09m33s] 16089 ab:aab=aa,aaba=aa infinite ab - - ab:aaa=aa,aab=aa [09m33s] from: 16089 ab:aab=aa,aaba=aa infinite to: 5294 ab:aaa=aa,aab=aa infinite a=a,b=b [09m33s] # 16090 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:34,nodes:8,pairs:1,completionMax:7us [09m33s] 16090 ab:aab=aa,aaba=ab infinite a/b - - ab:aaaa=aa,ab=aaa [09m33s] from: 16090 ab:aab=aa,aaba=ab infinite to: 5311 ab:aaa=ab,aab=aa infinite a=a,b=b [09m33s] # 16091 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:86,nodes:12,pairs:1,completionMax:10us [09m33s] 16091 ab:aab=aa,aaba=ba infinite a/b - - ab:aaaaa=aaa,ba=aaa,aab=aa [09m33s] from: 16091 ab:aab=aa,aaba=ba infinite to: 16087 ab:aab=aa,aaab=ba infinite a=a,b=b [09m33s] # 16092 solved: rounds:2,rules:4,peak:5,longest:5,steps:1,word:0,work:143,nodes:16,pairs:3,completionMax:22us [09m33s] 16092 ab:aab=aa,aaba=bb infinite a/b - - ab:aaaaa=aa,baa=aa,aab=aa,bb=aaa [09m33s] from: 16092 ab:aab=aa,aaba=bb infinite to: 5338 ab:aaa=bb,aab=aa infinite a=a,b=b [09m33s] # 16093 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [09m33s] 16093 ab:aab=aa,aabb=aa infinite ab - - ab:aab=aa [09m33s] # 16094 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:36,nodes:6,pairs:1,completionMax:4us [09m33s] 16094 ab:aab=aa,aabb=ab infinite ab - - ab:ab=aa,aaa=aa [09m33s] from: 16094 ab:aab=aa,aabb=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [09m33s] # 16095 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:101,nodes:10,pairs:1,completionMax:7us [09m33s] 16095 ab:aab=aa,aabb=ba infinite ab - - ab:ba=aa,aab=aa,aaaa=aaa [09m33s] # 16096 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:85,nodes:12,pairs:2,completionMax:10us [09m33s] 16096 ab:aab=aa,aabb=bb infinite ab - - ab:bb=aa,aab=aa,baa=aa,aaaa=aa [09m33s] from: 16096 ab:aab=aa,aabb=bb infinite to: 2270 ab:bb=aa,aaa=aa infinite a=b,b=a [09m33s] # 16097 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:142,nodes:12,pairs:2,completionMax:11us [09m33s] 16097 ab:aab=aa,abaa=aa infinite ab - - ab:aab=aa,aaaa=aaa,abaa=aa [09m33s] # 16098 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:184,nodes:12,pairs:4,completionMax:14us [09m33s] 16098 ab:aab=aa,abaa=ab infinite ab - - ab:aab=aa,abb=ab,aaaa=aa,abaa=ab,abab=aba [09m33s] # 16099 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:2,work:417,nodes:18,pairs:13,completionMax:34us [09m33s] 16099 ab:aab=aa,abaa=ba infinite a/b - - ab:aaaaa=aaa,ba=aaa,aab=aa [09m33s] from: 16099 ab:aab=aa,abaa=ba infinite to: 16087 ab:aab=aa,aaab=ba infinite a=a,b=b [09m33s] # 16100 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:130,nodes:18,pairs:2,completionMax:11us [09m33s] 16100 ab:aab=aa,abaa=bb infinite a/b - - ab:aaaaa=aa,aab=aa,bb=abaa,babaa=abaa [09m33s] # 16101 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:50,nodes:10,pairs:1,completionMax:10us [09m33s] 16101 ab:aab=aa,abab=aa infinite ab - - ab:aab=aa,abaa=aaa,abab=aa [09m33s] # 16102 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:66,nodes:10,pairs:1,completionMax:8us [09m33s] 16102 ab:aab=aa,abab=ab infinite ab - - ab:aaa=aa,aab=aa,abab=ab [09m33s] # 16103 solved: rounds:2,rules:3,peak:5,longest:4,steps:7,word:1,work:533,nodes:14,pairs:12,completionMax:49us [09m33s] 16103 ab:aab=aa,abab=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,aab=aa [09m33s] from: 16103 ab:aab=aa,abab=ba infinite to: 5355 ab:aab=aa,aba=ba infinite a=a,b=b [09m33s] # 16104 solved: rounds:3,rules:5,peak:9,longest:6,steps:9,word:6,work:3288,nodes:26,pairs:52,completionMax:204us [09m33s] 16104 ab:aab=aa,abab=bb finite:12;idempotents:1,bbb;center:1,bba,bbb,bbba reversed:b/a - - ab:bbbb=bbb,bbab=bbba,abb=bbba,aa=bbb,abab=bb [09m33s] # 16105 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:3us [09m33s] 16105 ab:aab=aa,abba=aa infinite ab - - ab:aab=aa,abba=aa [09m33s] # 16106 solved: rounds:2,rules:4,peak:7,longest:5,steps:5,word:0,work:568,nodes:14,pairs:13,completionMax:54us [09m33s] 16106 ab:aab=aa,abba=ab infinite ab - - ab:aaa=aa,aab=aa,aba=ab,abb=ab [09m33s] from: 16106 ab:aab=aa,abba=ab infinite to: 5354 ab:aab=aa,aba=ab infinite a=a,b=b [09m33s] # 16107 solved: rounds:2,rules:3,peak:6,longest:5,steps:11,word:2,work:746,nodes:16,pairs:10,completionMax:34us [09m33s] 16107 ab:aab=aa,abba=ba infinite a/b - - ab:aaaa=aaa,ba=aaa,aab=aa [09m33s] from: 16107 ab:aab=aa,abba=ba infinite to: 5355 ab:aab=aa,aba=ba infinite a=a,b=b [09m33s] # 16108 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:0,work:629,nodes:24,pairs:20,completionMax:64us [09m33s] 16108 ab:aab=aa,abba=bb infinite ab - - ab:bb=aa,aab=aa,baa=aa,aaaa=aa [09m33s] from: 16108 ab:aab=aa,abba=bb infinite to: 2270 ab:bb=aa,aaa=aa infinite a=b,b=a [09m33s] # 16109 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:57,nodes:10,pairs:1,completionMax:8us [09m33s] 16109 ab:aab=aa,abbb=aa infinite ab - - ab:aaa=aa,aab=aa,abbb=aa [09m33s] # 16110 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:9,nodes:10,pairs:0,completionMax:1us [09m33s] 16110 ab:aab=aa,abbb=ab infinite ab - - ab:aab=aa,abbb=ab [09m33s] # 16111 solved: rounds:0,rules:2,peak:2,longest:4,steps:13,word:8,work:95,nodes:8,pairs:0,completionMax:4us [09m33s] 16111 ab:aab=aa,abbb=ba infinite b/a - - ab:ba=abbb,aab=aa [09m33s] # 16112 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:142,nodes:10,pairs:5,completionMax:16us [09m33s] 16112 ab:aab=aa,abbb=bb infinite ab - - ab:bb=aa,aaa=aa,aab=aa,baa=aa [09m33s] from: 16112 ab:aab=aa,abbb=bb infinite to: 5360 ab:aab=aa,abb=bb infinite a=a,b=b [09m33s] # 16113 solved: rounds:4,rules:3,peak:4,longest:5,steps:4,word:0,work:570,nodes:16,pairs:4,completionMax:35us [09m33s] 16113 ab:aab=aa,baaa=aa infinite ab - - ab:aaa=aa,aab=aa,baa=aa [09m33s] # 16114 solved: rounds:4,rules:3,peak:4,longest:7,steps:3,word:4,work:402,nodes:22,pairs:7,completionMax:34us [09m33s] 16114 ab:aab=aa,baaa=ab infinite a/b - - ab:aaaa=aa,baa=aa,ab=aaa [09m33s] # 16115 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:127,nodes:16,pairs:2,completionMax:10us [09m33s] 16115 ab:aab=aa,baaa=ba infinite ab - - ab:aab=aa,bab=ba,baaa=ba,aaaaa=aaa [09m33s] # 16116 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:2,work:56,nodes:12,pairs:2,completionMax:8us [09m33s] 16116 ab:aab=aa,baaa=bb infinite a/b - - ab:aaaaa=aa,aab=aa,bb=baaa [09m33s] # 16117 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [09m33s] 16117 ab:aab=aa,baab=aa infinite ab - - ab:aab=aa,baa=aa [09m33s] from: 16117 ab:aab=aa,baab=aa infinite to: 5361 ab:aab=aa,baa=aa infinite a=a,b=b [09m33s] # 16118 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:586,nodes:16,pairs:8,completionMax:47us [09m33s] 16118 ab:aab=aa,baab=ab infinite ab - - ab:ab=aa,aaa=aa,baa=aa [09m33s] from: 16118 ab:aab=aa,baab=ab infinite to: 5362 ab:aab=aa,baa=ab infinite a=a,b=b [09m33s] # 16119 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:155,nodes:12,pairs:3,completionMax:11us [09m33s] 16119 ab:aab=aa,baab=ba infinite ab - - ab:aab=aa,baa=ba,bab=ba,aaaa=aaa [09m33s] from: 16119 ab:aab=aa,baab=ba infinite to: 5363 ab:aab=aa,baa=ba infinite a=a,b=b [09m33s] # 16120 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:1,work:52,nodes:10,pairs:2,completionMax:10us [09m33s] 16120 ab:aab=aa,baab=bb infinite a/b - - ab:aaaa=aa,aab=aa,bb=baa [09m33s] from: 16120 ab:aab=aa,baab=bb infinite to: 5364 ab:aab=aa,baa=bb infinite a=a,b=b [09m33s] # 16121 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:36,nodes:14,pairs:1,completionMax:7us [09m33s] 16121 ab:aab=aa,baba=aa infinite ab - - ab:aab=aa,baaa=aaa,baba=aa [09m33s] # 16122 solved: rounds:3,rules:3,peak:10,longest:4,steps:4,word:0,work:1297,nodes:20,pairs:13,completionMax:94us [09m33s] 16122 ab:aab=aa,baba=ab infinite ab - - ab:ab=aa,aaa=aa,baa=aa [09m33s] from: 16122 ab:aab=aa,baba=ab infinite to: 5362 ab:aab=aa,baa=ab infinite a=a,b=b [09m33s] # 16123 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:104,nodes:14,pairs:1,completionMax:10us [09m33s] 16123 ab:aab=aa,baba=ba infinite ab - - ab:aab=aa,aaaa=aaa,baba=ba [09m33s] # 16124 solved: rounds:3,rules:6,peak:8,longest:5,steps:8,word:2,work:1518,nodes:22,pairs:20,completionMax:99us [09m33s] 16124 ab:aab=aa,baba=bb finite:20;idempotents:1,aa,baa,bbb,abaaa,ababb b/a - - ab:bbbb=bbb,babbb=babb,bba=babb,aab=aa,baba=bb,aaaa=aa [09m33s] # 16125 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:197,nodes:16,pairs:2,completionMax:12us [09m33s] 16125 ab:aab=aa,babb=aa infinite ab - - ab:aab=aa,aaaa=aaa,babb=aa,babaa=aaa [09m33s] # 16126 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:129,nodes:14,pairs:6,completionMax:13us [09m33s] 16126 ab:aab=aa,babb=ab infinite ab - - ab:aab=aa,baa=aa,babb=ab,babab=aa [09m33s] # 16127 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:12,pairs:0,completionMax:2us [09m33s] 16127 ab:aab=aa,babb=ba infinite ab - - ab:aab=aa,babb=ba [09m33s] # 16128 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:59,nodes:12,pairs:1,completionMax:8us [09m33s] 16128 ab:aab=aa,babb=bb infinite ab - - ab:aaa=aa,aab=aa,babb=bb [09m33s] # 16129 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:3us [09m33s] 16129 ab:aab=aa,bbaa=aa infinite ab - - ab:aab=aa,bbaa=aa [09m33s] # 16130 solved: rounds:3,rules:3,peak:8,longest:4,steps:3,word:0,work:822,nodes:18,pairs:9,completionMax:58us [09m33s] 16130 ab:aab=aa,bbaa=ab infinite ab - - ab:ab=aa,aaa=aa,bbaa=aa [09m33s] # 16131 solved: rounds:4,rules:5,peak:6,longest:4,steps:3,word:0,work:366,nodes:18,pairs:6,completionMax:34us [09m33s] 16131 ab:aab=aa,bbaa=ba infinite ab - - ab:aab=aa,baa=ba,bab=ba,bba=ba,aaaa=aaa [09m33s] # 16132 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:202,nodes:14,pairs:3,completionMax:14us [09m33s] 16132 ab:aab=aa,bbaa=bb infinite ab - - ab:aab=aa,bbb=bb,aaaa=aa,bbaa=bb,bbab=bba [09m33s] # 16133 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:202,nodes:16,pairs:2,completionMax:11us [09m33s] 16133 ab:aab=aa,bbab=aa infinite ab - - ab:aab=aa,aaaa=aaa,bbab=aa,bbaaa=aaa [09m33s] # 16134 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:1,completionMax:8us [09m33s] 16134 ab:aab=aa,bbab=ab infinite ab - - ab:aab=aa,bbaa=aa,bbab=ab [09m33s] # 16135 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:174,nodes:18,pairs:3,completionMax:28us [09m33s] 16135 ab:aab=aa,bbab=ba infinite ab - - ab:aab=aa,bbaa=baa,bbab=ba,babaa=baaa,babab=baa [09m33s] # 16136 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:1,completionMax:6us [09m33s] 16136 ab:aab=aa,bbab=bb infinite ab - - ab:aaa=aa,aab=aa,bbab=bb [09m33s] # 16137 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:102,nodes:14,pairs:1,completionMax:7us [09m33s] 16137 ab:aab=aa,bbba=aa infinite ab - - ab:aab=aa,aaaa=aaa,bbba=aa [09m33s] # 16138 solved: rounds:1,rules:2,peak:2,longest:11,steps:11,word:16,work:167,nodes:24,pairs:1,completionMax:8us [09m33s] 16138 ab:aab=aa,bbba=ab infinite reversed:b/a - - ab:ab=bbba,bbbbbbbbbaa=aa [09m33s] # 16139 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:12,pairs:0,completionMax:3us [09m33s] 16139 ab:aab=aa,bbba=ba infinite ab - - ab:aab=aa,bbba=ba [09m33s] # 16140 solved: rounds:3,rules:4,peak:6,longest:4,steps:3,word:0,work:399,nodes:14,pairs:8,completionMax:27us [09m33s] 16140 ab:aab=aa,bbba=bb infinite ab - - ab:aaa=aa,aab=aa,bba=bb,bbb=bb [09m33s] from: 16140 ab:aab=aa,bbba=bb infinite to: 5372 ab:aab=aa,bba=bb infinite a=a,b=b [09m33s] # 16141 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:128,nodes:16,pairs:4,completionMax:9us [09m33s] 16141 ab:aab=aa,bbbb=aa infinite ab - - ab:aab=aa,baa=aa,aaaa=aa,bbbb=aa [09m33s] # 16142 solved: rounds:2,rules:4,peak:4,longest:8,steps:7,word:2,work:1146,nodes:18,pairs:3,completionMax:30us [09m33s] 16142 ab:aab=aa,bbbb=ab finite:15;idempotents:1,bbbbbbb;center:1,bbbbbba,bbbbbbb b/a - - ab:bbbbbbbb=bbbbbbb,ab=bbbb,bbbbbbba=bbbbbbb,aa=bbbbbbb [09m33s] # 16143 solved: rounds:1,rules:4,peak:4,longest:8,steps:7,word:4,work:658,nodes:20,pairs:2,completionMax:17us [09m33s] 16143 ab:aab=aa,bbbb=ba finite:17;idempotents:1,aa,bbbbbbb,abbbbbbb b/a - - ab:bbbbbbbb=bbbbbbb,ba=bbbb,aab=aa,aaa=aa [09m33s] # 16144 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:31,nodes:12,pairs:0,completionMax:2us [09m33s] 16144 ab:aab=aa,bbbb=bb infinite ab - - ab:aab=aa,bbbb=bb [09m33s] # 16145 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:40,nodes:8,pairs:0,completionMax:5us [09m33s] 16145 ab:aab=ab,aaaa=aa infinite ab - - ab:aab=ab,aaaa=aa [09m33s] # 16146 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:2,work:142,nodes:10,pairs:1,completionMax:6us [09m33s] 16146 ab:aab=ab,aaaa=ab infinite a/b - - ab:aaaaa=aaaa,ab=aaaa [09m33s] # 16147 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:2,work:343,nodes:14,pairs:1,completionMax:13us [09m33s] 16147 ab:aab=ab,aaaa=ba infinite a/b - - ab:aaaaaa=aaaaa,ba=aaaa,aab=ab [09m33s] # 16148 solved: rounds:1,rules:4,peak:5,longest:5,steps:6,word:2,work:308,nodes:16,pairs:5,completionMax:24us [09m33s] 16148 ab:aab=ab,aaaa=bb finite:11;idempotents:1,bbbb;center:1,bb,bbb,baaa,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aaaa=bb [09m33s] # 16149 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:6,pairs:1,completionMax:4us [09m33s] 16149 ab:aab=ab,aaab=aa infinite ab - - ab:ab=aa,aaa=aa [09m33s] from: 16149 ab:aab=ab,aaab=aa infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [09m33s] # 16150 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [09m33s] 16150 ab:aab=ab,aaab=ab infinite ab - - ab:aab=ab [09m33s] # 16151 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:1us [09m33s] 16151 ab:aab=ab,aaab=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=ab [09m33s] from: 16151 ab:aab=ab,aaab=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 2264 ab:ba=ab,aab=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 a=a,b=b [09m33s] # 16152 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:42,nodes:8,pairs:1,completionMax:5us [09m33s] 16152 ab:aab=ab,aaab=bb infinite ba - - ab:ab=bb,bbb=bb [09m33s] # 16153 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:91,nodes:8,pairs:2,completionMax:7us [09m33s] 16153 ab:aab=ab,aaba=aa infinite ab - - ab:aaa=aa,aab=ab,aba=aa [09m33s] from: 16153 ab:aab=ab,aaba=aa infinite to: 5373 ab:aab=ab,aba=aa infinite a=a,b=b [09m33s] # 16154 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:53,nodes:12,pairs:5,completionMax:14us [09m33s] 16154 ab:aab=ab,aaba=ab infinite acb ab=c frequency:2/1 abc:ac=c,ab=c,ca=c,cb=cc [09m33s] from: 16154 ab:aab=ab,aaba=ab infinite to: 5374 ab:aab=ab,aba=ab infinite a=a,b=b,c=c [09m33s] # 16155 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:93,nodes:18,pairs:6,completionMax:16us [09m33s] 16155 ab:aab=ab,aaba=ba infinite acb ba=c frequency:2/1 abc:ac=c,ba=c,bc=cc,aab=ab,cab=cb [09m33s] from: 16155 ab:aab=ab,aaba=ba infinite to: 5375 ab:aab=ab,aba=ba infinite a=a,b=b,c=c [09m33s] # 16156 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:178,nodes:12,pairs:1,completionMax:10us [09m33s] 16156 ab:aab=ab,aaba=bb infinite reversed:a/b - - ab:aab=ab,bb=aba,baba=abab [09m33s] from: 16156 ab:aab=ab,aaba=bb infinite to: 5376 ab:aab=ab,aba=bb infinite a=a,b=b [09m33s] # 16157 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:8,pairs:1,completionMax:6us [09m33s] 16157 ab:aab=ab,aabb=aa infinite ab - - ab:aaa=aa,aab=ab,abb=aa [09m33s] from: 16157 ab:aab=ab,aabb=aa infinite to: 5377 ab:aab=ab,abb=aa infinite a=a,b=b [09m33s] # 16158 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:1us [09m33s] 16158 ab:aab=ab,aabb=ab infinite ab - - ab:aab=ab,abb=ab [09m33s] from: 16158 ab:aab=ab,aabb=ab infinite to: 5378 ab:aab=ab,abb=ab infinite a=a,b=b [09m33s] # 16159 solved: rounds:1,rules:3,peak:3,longest:6,steps:8,word:3,work:122,nodes:16,pairs:1,completionMax:8us [09m33s] 16159 ab:aab=ab,aabb=ba infinite b/a - - ab:abbbbb=abbb,ba=abb,aab=ab [09m33s] from: 16159 ab:aab=ab,aabb=ba infinite to: 5379 ab:aab=ab,abb=ba infinite a=a,b=b [09m33s] # 16160 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:2us [09m33s] 16160 ab:aab=ab,aabb=bb infinite ab - - ab:aab=ab,abb=bb [09m33s] # 16161 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:154,nodes:10,pairs:3,completionMax:15us [09m33s] 16161 ab:aab=ab,abaa=aa infinite ab - - ab:aaa=aa,aab=ab,abaa=aa,abab=ab [09m33s] # 16162 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:80,nodes:15,pairs:6,completionMax:13us [09m33s] 16162 ab:aab=ab,abaa=ab infinite acb ab=c frequency:2/0 abc:ac=c,ab=c,cb=cc,caa=c [09m33s] # 16163 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:95,nodes:18,pairs:8,completionMax:16us [09m33s] 16163 ab:aab=ab,abaa=ba infinite acb ba=c frequency:2/1 abc:ac=c,ca=c,ba=c,bc=cc,aab=ab [09m33s] # 16164 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:2,work:302,nodes:18,pairs:4,completionMax:15us [09m33s] 16164 ab:aab=ab,abaa=bb infinite reversed:a/b - - ab:aab=ab,bb=abaa,babaa=abab,babab=abab [09m33s] # 16165 solved: rounds:2,rules:4,peak:6,longest:4,steps:3,word:0,work:320,nodes:10,pairs:8,completionMax:30us [09m33s] 16165 ab:aab=ab,abab=aa infinite ab - - ab:aaa=aa,aab=ab,aba=ab,abb=aa [09m33s] # 16166 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [09m33s] 16166 ab:aab=ab,abab=ab infinite ab - - ab:aab=ab,abab=ab [09m33s] # 16167 solved: rounds:2,rules:5,peak:6,longest:4,steps:4,word:0,work:412,nodes:16,pairs:12,completionMax:51us [09m33s] 16167 ab:aab=ab,abab=ba infinite ab - - ab:aab=ab,aba=ba,baa=ba,bab=ba,bba=ba [09m33s] # 16168 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:68,nodes:16,pairs:2,completionMax:8us [09m33s] 16168 ab:aab=ab,abab=bb infinite ab - - ab:aab=ab,abb=bb,abab=bb,bbab=bbb [09m33s] # 16169 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:94,nodes:10,pairs:2,completionMax:8us [09m33s] 16169 ab:aab=ab,abba=aa infinite ab - - ab:aaa=aa,aab=ab,abba=aa [09m33s] # 16170 solved: rounds:2,rules:3,peak:7,longest:5,steps:5,word:0,work:467,nodes:14,pairs:10,completionMax:29us [09m33s] 16170 ab:aab=ab,abba=ab infinite ab - - ab:aab=ab,aba=ab,abb=ab [09m33s] # 16171 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:294,nodes:16,pairs:10,completionMax:23us [09m33s] 16171 ab:aab=ab,abba=ba infinite ab - - ab:aab=ab,aba=ba,bba=ba [09m33s] # 16172 solved: rounds:2,rules:3,peak:5,longest:5,steps:2,word:0,work:163,nodes:20,pairs:4,completionMax:27us [09m33s] 16172 ab:aab=ab,abba=bb infinite ab - - ab:aab=ab,abb=bb,bba=bb [09m33s] # 16173 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:10,pairs:1,completionMax:7us [09m33s] 16173 ab:aab=ab,abbb=aa infinite ab - - ab:aaa=aa,aab=ab,abbb=aa [09m33s] # 16174 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:10,pairs:0,completionMax:2us [09m33s] 16174 ab:aab=ab,abbb=ab infinite ab - - ab:aab=ab,abbb=ab [09m33s] # 16175 solved: rounds:1,rules:3,peak:3,longest:11,steps:14,word:8,work:214,nodes:26,pairs:1,completionMax:15us [09m33s] 16175 ab:aab=ab,abbb=ba infinite b/a - - ab:abbbbbbbbbb=abbbb,ba=abbb,aab=ab [09m33s] # 16176 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:2,completionMax:14us [09m33s] 16176 ab:aab=ab,abbb=bb infinite ab - - ab:aab=ab,abb=bb,bbb=bb [09m33s] # 16177 solved: rounds:3,rules:4,peak:5,longest:4,steps:3,word:0,work:353,nodes:14,pairs:5,completionMax:39us [09m33s] 16177 ab:aab=ab,baaa=aa infinite ab - - ab:aaa=aa,aab=ab,baa=aa,bab=ab [09m33s] # 16178 solved: rounds:1,rules:2,peak:2,longest:7,steps:10,word:4,work:131,nodes:16,pairs:1,completionMax:14us [09m33s] 16178 ab:aab=ab,baaa=ab infinite a/b - - ab:baaaaaa=baaa,ab=baaa [09m33s] # 16179 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [09m33s] 16179 ab:aab=ab,baaa=ba infinite ab - - ab:aab=ab,baaa=ba [09m33s] # 16180 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:195,nodes:16,pairs:2,completionMax:19us [09m33s] 16180 ab:aab=ab,baaa=bb infinite ba - - ab:bab=bbb,aab=ab,bbbb=bbb,baaa=bb [09m33s] # 16181 solved: rounds:4,rules:3,peak:4,longest:5,steps:12,word:4,work:655,nodes:16,pairs:5,completionMax:44us [09m33s] 16181 ab:aab=ab,baab=aa infinite a/b - - ab:aaa=aa,ab=baa,bbaa=aa [09m33s] from: 16181 ab:aab=ab,baab=aa infinite to: 5383 ab:aab=ab,bab=aa infinite a=a,b=b [09m33s] # 16182 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:2us [09m33s] 16182 ab:aab=ab,baab=ab infinite ab - - ab:aab=ab,bab=ab [09m33s] from: 16182 ab:aab=ab,baab=ab infinite to: 5384 ab:aab=ab,bab=ab infinite a=a,b=b [09m33s] # 16183 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:58,nodes:10,pairs:1,completionMax:5us [09m33s] 16183 ab:aab=ab,baab=ba infinite ab - - ab:aab=ab,baa=ba,bab=ba [09m33s] from: 16183 ab:aab=ab,baab=ba infinite to: 5385 ab:aab=ab,bab=ba infinite a=a,b=b [09m33s] # 16184 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:1us [09m33s] 16184 ab:aab=ab,baab=bb infinite ab - - ab:aab=ab,bab=bb [09m33s] from: 16184 ab:aab=ab,baab=bb infinite to: 5386 ab:aab=ab,bab=bb infinite a=a,b=b [09m33s] # 16185 solved: rounds:4,rules:5,peak:7,longest:4,steps:3,word:0,work:1081,nodes:20,pairs:19,completionMax:119us [09m33s] 16185 ab:aab=ab,baba=aa infinite ba - - ab:aba=baa,aab=ab,aaa=aa,bbab=ab,bbaa=aa [09m33s] # 16186 solved: rounds:2,rules:4,peak:7,longest:4,steps:5,word:0,work:647,nodes:18,pairs:14,completionMax:35us [09m33s] 16186 ab:aab=ab,baba=ab infinite ab - - ab:aab=ab,aba=ab,abb=ab,bab=ab [09m33s] # 16187 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [09m33s] 16187 ab:aab=ab,baba=ba infinite ab - - ab:aab=ab,baba=ba [09m33s] # 16188 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:190,nodes:18,pairs:5,completionMax:18us [09m33s] 16188 ab:aab=ab,baba=bb infinite ab - - ab:aab=ab,baba=bb,babb=bbb,bbab=bbb,bbba=bbb [09m33s] # 16189 solved: rounds:4,rules:5,peak:11,longest:7,steps:6,word:2,work:3365,nodes:40,pairs:48,completionMax:156us [09m33s] 16189 ab:aab=ab,babb=aa infinite reversed:b/a - - ab:bbbab=ab,abbb=bbab,aa=babb,abba=abb,abab=bab [09m33s] # 16190 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:359,nodes:14,pairs:10,completionMax:21us [09m33s] 16190 ab:aab=ab,babb=ab infinite ab - - ab:aab=ab,bab=abb,abbb=ab [09m33s] # 16191 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:46,nodes:12,pairs:1,completionMax:8us [09m33s] 16191 ab:aab=ab,babb=ba infinite ab - - ab:aab=ab,baa=ba,babb=ba [09m33s] # 16192 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:3us [09m33s] 16192 ab:aab=ab,babb=bb infinite ab - - ab:aab=ab,babb=bb [09m33s] # 16193 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:169,nodes:14,pairs:2,completionMax:14us [09m33s] 16193 ab:aab=ab,bbaa=aa infinite ab - - ab:aab=ab,aaaa=aaa,bbaa=aa,bbab=ab [09m33s] # 16194 solved: rounds:4,rules:6,peak:6,longest:4,steps:3,word:0,work:454,nodes:18,pairs:9,completionMax:42us [09m33s] 16194 ab:aab=ab,bbaa=ab infinite ab - - ab:aab=ab,abb=ab,abaa=ab,abab=ab,bbaa=ab,bbab=ab [09m33s] # 16195 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:44,nodes:12,pairs:1,completionMax:6us [09m33s] 16195 ab:aab=ab,bbaa=ba infinite ab - - ab:aab=ab,bbaa=ba,bbab=bab [09m33s] # 16196 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:44,nodes:12,pairs:2,completionMax:7us [09m33s] 16196 ab:aab=ab,bbaa=bb infinite ab - - ab:aab=ab,bbaa=bb,bbab=bbb [09m33s] # 16197 solved: rounds:4,rules:4,peak:11,longest:11,steps:5,word:6,work:3095,nodes:46,pairs:47,completionMax:213us [09m33s] 16197 ab:aab=ab,bbab=aa infinite reversed:b/a - - ab:bbbbbbab=ab,abb=bbbbab,aa=bbab,aba=ab [09m33s] # 16198 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:3us [09m33s] 16198 ab:aab=ab,bbab=ab infinite ab - - ab:aab=ab,bbab=ab [09m33s] # 16199 solved: rounds:5,rules:4,peak:9,longest:5,steps:4,word:0,work:978,nodes:20,pairs:16,completionMax:53us [09m33s] 16199 ab:aab=ab,bbab=ba infinite ba - - ab:bab=bba,baa=ba,aab=ab,bbba=ba [09m33s] # 16200 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:1us [09m33s] 16200 ab:aab=ab,bbab=bb infinite ab - - ab:aab=ab,bbab=bb [09m33s] # 16201 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:119,nodes:14,pairs:1,completionMax:10us [09m33s] 16201 ab:aab=ab,bbba=aa infinite ab - - ab:aab=ab,aaaa=aaa,bbba=aa [09m33s] # 16202 solved: rounds:3,rules:3,peak:4,longest:13,steps:12,word:16,work:561,nodes:46,pairs:5,completionMax:37us [09m33s] 16202 ab:aab=ab,bbba=ab infinite reversed:b/a - - ab:bbbbbbbbba=bbba,ab=bbba,bbbaa=bbba [09m33s] # 16203 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [09m33s] 16203 ab:aab=ab,bbba=ba infinite ab - - ab:aab=ab,bbba=ba [09m33s] # 16204 solved: rounds:4,rules:3,peak:5,longest:4,steps:3,word:0,work:402,nodes:14,pairs:9,completionMax:39us [09m33s] 16204 ab:aab=ab,bbba=bb infinite ab - - ab:aab=ab,bba=bb,bbb=bb [09m33s] # 16205 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:360,nodes:20,pairs:3,completionMax:31us [09m33s] 16205 ab:aab=ab,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,bbba,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbbbb,ab=bbbbb,bbbba=bbbbbbbb,aa=bbbb [09m33s] # 16206 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:2,work:97,nodes:16,pairs:1,completionMax:14us [09m33s] 16206 ab:aab=ab,bbbb=ab infinite b/a - - ab:bbbbbbb=bbbb,ab=bbbb [09m33s] # 16207 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:167,nodes:20,pairs:1,completionMax:20us [09m33s] 16207 ab:aab=ab,bbbb=ba infinite b/a - - ab:bbbbbbbb=bbbbb,ba=bbbb,aab=ab [09m33s] # 16208 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [09m33s] 16208 ab:aab=ab,bbbb=bb infinite ab - - ab:aab=ab,bbbb=bb [09m33s] # 16209 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:53,nodes:8,pairs:0,completionMax:4us [09m33s] 16209 ab:aab=ba,aaaa=aa infinite reversed:a/b - - ab:aaaa=aa,ba=aab [09m33s] # 16210 solved: rounds:2,rules:3,peak:3,longest:6,steps:5,word:3,work:292,nodes:14,pairs:2,completionMax:11us [09m33s] 16210 ab:aab=ba,aaaa=ab infinite a/b - - ab:aaaaaa=aaaaa,ba=aaaaa,ab=aaaa [09m33s] # 16211 solved: rounds:1,rules:3,peak:3,longest:6,steps:5,word:4,work:348,nodes:14,pairs:2,completionMax:12us [09m33s] 16211 ab:aab=ba,aaaa=ba infinite a/b - - ab:aaaaaa=aaaaa,ba=aaaa,aab=aaaa [09m33s] # 16212 solved: rounds:2,rules:4,peak:5,longest:8,steps:19,word:4,work:1785,nodes:26,pairs:3,completionMax:41us [09m33s] 16212 ab:aab=ba,aaaa=bb finite:11;idempotents:1,aaaaa;center:1,aaaa,aaab,aaaaa,aaaab reversed:a/b - - ab:aaaaaa=aaaaa,aaaaab=aaaab,ba=aab,bb=aaaa [09m33s] # 16213 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:636,nodes:18,pairs:15,completionMax:77us [09m33s] 16213 ab:aab=ba,aaab=aa infinite ab - - ab:ba=aa,aaa=aa,aab=aa [09m33s] from: 16213 ab:aab=ba,aaab=aa infinite to: 5390 ab:aab=ba,aba=aa infinite a=a,b=b [09m33s] # 16214 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:1,work:35,nodes:10,pairs:0,completionMax:3us [09m33s] 16214 ab:aab=ba,aaab=ab infinite reversed:a/b - - ab:aaab=ab,ba=aab [09m33s] from: 16214 ab:aab=ba,aaab=ab infinite to: 5391 ab:aab=ba,aba=ab infinite a=a,b=b [09m33s] # 16215 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:70,nodes:10,pairs:0,completionMax:4us [09m33s] 16215 ab:aab=ba,aaab=ba infinite reversed:a/b - - ab:aaab=aab,ba=aab [09m33s] from: 16215 ab:aab=ba,aaab=ba infinite to: 5392 ab:aab=ba,aba=ba infinite a=a,b=b [09m33s] # 16216 solved: rounds:1,rules:3,peak:4,longest:8,steps:17,word:5,work:657,nodes:18,pairs:2,completionMax:21us [09m33s] 16216 ab:aab=ba,aaab=bb infinite reversed:a/b - - ab:aaaaaab=aaaaab,ba=aab,bb=aaab [09m33s] from: 16216 ab:aab=ba,aaab=bb infinite to: 5393 ab:aab=ba,aba=bb infinite a=a,b=b [09m33s] # 16217 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:595,nodes:18,pairs:10,completionMax:54us [09m33s] 16217 ab:aab=ba,aaba=aa infinite ab - - ab:ba=aa,aaa=aa,aab=aa [09m33s] from: 16217 ab:aab=ba,aaba=aa infinite to: 5390 ab:aab=ba,aba=aa infinite a=a,b=b [09m33s] # 16218 solved: rounds:1,rules:2,peak:2,longest:5,steps:5,word:1,work:41,nodes:12,pairs:1,completionMax:8us [09m33s] 16218 ab:aab=ba,aaba=ab infinite a/b - - ab:baaaa=ba,ab=baa [09m33s] from: 16218 ab:aab=ba,aaba=ab infinite to: 5396 ab:aab=ba,baa=ab infinite a=a,b=b [09m33s] # 16219 solved: rounds:0,rules:2,peak:2,longest:5,steps:6,word:2,work:67,nodes:12,pairs:0,completionMax:3us [09m33s] 16219 ab:aab=ba,aaba=ba infinite reversed:a/b - - ab:aaaab=aab,ba=aab [09m33s] from: 16219 ab:aab=ba,aaba=ba infinite to: 5380 ab:aab=ab,baa=ab infinite anti:a=a,b=b [09m33s] # 16220 solved: rounds:1,rules:3,peak:3,longest:9,steps:15,word:7,work:355,nodes:20,pairs:2,completionMax:15us [09m33s] 16220 ab:aab=ba,aaba=bb infinite reversed:a/b - - ab:aaaaaaaab=aaaaaab,ba=aab,bb=aaaab [09m33s] from: 16220 ab:aab=ba,aaba=bb infinite to: 5397 ab:aab=ba,baa=bb infinite a=a,b=b [09m33s] # 16221 solved: rounds:1,rules:3,peak:3,longest:6,steps:8,word:3,work:142,nodes:18,pairs:1,completionMax:14us [09m33s] 16221 ab:aab=ba,aabb=aa infinite reversed:a/b - - ab:aaaaaa=aaa,ba=aab,aabb=aa [09m33s] from: 16221 ab:aab=ba,aabb=aa infinite to: 5398 ab:aab=ba,bab=aa infinite a=a,b=b [09m33s] # 16222 solved: rounds:3,rules:3,peak:5,longest:3,steps:3,word:0,work:236,nodes:14,pairs:9,completionMax:20us [09m33s] 16222 ab:aab=ba,aabb=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16222 ab:aab=ba,aabb=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16223 solved: rounds:1,rules:3,peak:3,longest:7,steps:10,word:3,work:177,nodes:20,pairs:1,completionMax:11us [09m33s] 16223 ab:aab=ba,aabb=ba infinite reversed:a/b - - ab:aaaaaab=aaaab,ba=aab,aabb=aab [09m33s] from: 16223 ab:aab=ba,aabb=ba infinite to: 5400 ab:aab=ba,bab=ba infinite a=a,b=b [09m33s] # 16224 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:3,work:50,nodes:10,pairs:0,completionMax:3us [09m33s] 16224 ab:aab=ba,aabb=bb infinite reversed:a/b - - ab:ba=aab,aabb=bb [09m33s] from: 16224 ab:aab=ba,aabb=bb infinite to: 5401 ab:aab=ba,bab=bb infinite a=a,b=b [09m33s] # 16225 solved: rounds:3,rules:3,peak:10,longest:5,steps:8,word:0,work:1938,nodes:26,pairs:53,completionMax:155us [09m33s] 16225 ab:aab=ba,abaa=aa infinite ab - - ab:ba=aa,aaa=aa,aab=aa [09m33s] from: 16225 ab:aab=ba,abaa=aa infinite to: 5390 ab:aab=ba,aba=aa infinite a=a,b=b [09m33s] # 16226 solved: rounds:0,rules:2,peak:2,longest:6,steps:6,word:2,work:50,nodes:14,pairs:0,completionMax:5us [09m33s] 16226 ab:aab=ba,abaa=ab infinite reversed:a/b - - ab:aaaaab=ab,ba=aab [09m33s] # 16227 solved: rounds:0,rules:2,peak:2,longest:6,steps:6,word:2,work:57,nodes:14,pairs:0,completionMax:5us [09m33s] 16227 ab:aab=ba,abaa=ba infinite reversed:a/b - - ab:aaaaab=aab,ba=aab [09m33s] # 16228 solved: rounds:1,rules:3,peak:4,longest:10,steps:23,word:9,work:1153,nodes:22,pairs:2,completionMax:19us [09m33s] 16228 ab:aab=ba,abaa=bb infinite reversed:a/b - - ab:aaaaaaaab=aaaaaaab,ba=aab,bb=aaaaab [09m33s] # 16229 solved: rounds:3,rules:3,peak:6,longest:6,steps:13,word:3,work:1150,nodes:28,pairs:7,completionMax:66us [09m33s] 16229 ab:aab=ba,abab=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabb=aa [09m33s] from: 16229 ab:aab=ba,abab=aa infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=a,b=b [09m33s] # 16230 solved: rounds:3,rules:3,peak:4,longest:6,steps:8,word:3,work:284,nodes:20,pairs:4,completionMax:20us [09m33s] 16230 ab:aab=ba,abab=ab infinite reversed:a/b - - ab:aaab=ab,ba=aab,abb=ab [09m33s] # 16231 solved: rounds:3,rules:3,peak:4,longest:5,steps:8,word:2,work:339,nodes:18,pairs:4,completionMax:22us [09m33s] 16231 ab:aab=ba,abab=ba infinite reversed:a/b - - ab:aaab=aab,ba=aab,aabb=aab [09m33s] from: 16231 ab:aab=ba,abab=ba infinite to: 13234 ab:baa=abb,bab=ba infinite anti:a=b,b=a [09m33s] # 16232 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:3,work:55,nodes:12,pairs:0,completionMax:3us [09m33s] 16232 ab:aab=ba,abab=bb infinite reversed:a/b - - ab:ba=aab,aaabb=bb [09m33s] # 16233 solved: rounds:3,rules:3,peak:5,longest:7,steps:8,word:4,work:532,nodes:24,pairs:7,completionMax:47us [09m33s] 16233 ab:aab=ba,abba=aa infinite reversed:a/b - - ab:aaaaa=aa,ba=aab,aabb=aa [09m33s] # 16234 solved: rounds:3,rules:3,peak:4,longest:7,steps:8,word:4,work:319,nodes:24,pairs:5,completionMax:19us [09m33s] 16234 ab:aab=ba,abba=ab infinite reversed:a/b - - ab:aaab=ab,ba=aab,abb=ab [09m33s] from: 16234 ab:aab=ba,abba=ab infinite to: 16230 ab:aab=ba,abab=ab infinite a=a,b=b [09m33s] # 16235 solved: rounds:3,rules:3,peak:5,longest:7,steps:10,word:4,work:624,nodes:26,pairs:6,completionMax:31us [09m33s] 16235 ab:aab=ba,abba=ba infinite reversed:a/b - - ab:aaab=aab,ba=aab,aabb=aab [09m33s] from: 16235 ab:aab=ba,abba=ba infinite to: 13234 ab:baa=abb,bab=ba infinite anti:a=b,b=a [09m33s] # 16236 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:70,nodes:16,pairs:0,completionMax:4us [09m33s] 16236 ab:aab=ba,abba=bb infinite reversed:a/b - - ab:ba=aab,aaaaabb=bb [09m33s] # 16237 solved: rounds:3,rules:3,peak:5,longest:10,steps:26,word:6,work:1802,nodes:32,pairs:9,completionMax:57us [09m33s] 16237 ab:aab=ba,abbb=aa infinite reversed:a/b - - ab:aaaa=aaa,ba=aab,abbb=aa [09m33s] # 16238 solved: rounds:1,rules:3,peak:3,longest:10,steps:10,word:6,work:160,nodes:26,pairs:1,completionMax:9us [09m33s] 16238 ab:aab=ba,abbb=ab infinite reversed:a/b - - ab:aaaaaaaaab=aaab,ba=aab,abbb=ab [09m33s] # 16239 solved: rounds:1,rules:3,peak:4,longest:12,steps:18,word:9,work:793,nodes:28,pairs:2,completionMax:33us [09m33s] 16239 ab:aab=ba,abbb=ba infinite b/a - - ab:abbbbbbbb=abbbbbb,ba=abbb,aab=abbb [09m33s] # 16240 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:7,work:481,nodes:24,pairs:6,completionMax:25us [09m33s] 16240 ab:aab=ba,abbb=bb infinite reversed:a/b - - ab:ba=aab,abb=bb,bbb=bb [09m33s] # 16241 solved: rounds:3,rules:3,peak:11,longest:4,steps:3,word:0,work:1200,nodes:26,pairs:30,completionMax:92us [09m33s] 16241 ab:aab=ba,baaa=aa infinite ab - - ab:ba=aa,aaa=aa,aab=aa [09m33s] from: 16241 ab:aab=ba,baaa=aa infinite to: 5390 ab:aab=ba,aba=aa infinite a=a,b=b [09m33s] # 16242 solved: rounds:1,rules:2,peak:2,longest:7,steps:8,word:2,work:69,nodes:16,pairs:1,completionMax:16us [09m33s] 16242 ab:aab=ba,baaa=ab infinite a/b - - ab:baaaaaa=ba,ab=baaa [09m33s] # 16243 solved: rounds:0,rules:2,peak:2,longest:7,steps:7,word:3,work:72,nodes:16,pairs:0,completionMax:4us [09m33s] 16243 ab:aab=ba,baaa=ba infinite reversed:a/b - - ab:aaaaaab=aab,ba=aab [09m33s] # 16244 solved: rounds:1,rules:3,peak:3,longest:11,steps:19,word:11,work:574,nodes:24,pairs:2,completionMax:15us [09m33s] 16244 ab:aab=ba,baaa=bb infinite reversed:a/b - - ab:aaaaaaaaaab=aaaaaaaab,ba=aab,bb=aaaaaab [09m33s] # 16245 solved: rounds:3,rules:3,peak:6,longest:6,steps:14,word:3,work:1381,nodes:28,pairs:33,completionMax:98us [09m33s] 16245 ab:aab=ba,baab=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabb=aa [09m33s] from: 16245 ab:aab=ba,baab=aa infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=a,b=b [09m33s] # 16246 solved: rounds:2,rules:3,peak:6,longest:4,steps:6,word:0,work:505,nodes:18,pairs:12,completionMax:37us [09m33s] 16246 ab:aab=ba,baab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16246 ab:aab=ba,baab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16247 solved: rounds:2,rules:3,peak:3,longest:6,steps:6,word:3,work:216,nodes:20,pairs:3,completionMax:16us [09m33s] 16247 ab:aab=ba,baab=ba infinite reversed:a/b - - ab:aaaab=aab,ba=aab,aabb=aab [09m33s] from: 16247 ab:aab=ba,baab=ba infinite to: 5388 ab:aab=ab,bba=ab infinite a=b,b=a [09m33s] # 16248 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:70,nodes:14,pairs:0,completionMax:3us [09m33s] 16248 ab:aab=ba,baab=bb infinite reversed:a/b - - ab:ba=aab,aaaabb=bb [09m33s] from: 16248 ab:aab=ba,baab=bb infinite to: 5370 ab:aab=aa,bba=ab infinite a=b,b=a [09m33s] # 16249 solved: rounds:3,rules:3,peak:7,longest:8,steps:13,word:5,work:1626,nodes:34,pairs:13,completionMax:86us [09m33s] 16249 ab:aab=ba,baba=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabb=aa [09m33s] from: 16249 ab:aab=ba,baba=aa infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=a,b=b [09m33s] # 16250 solved: rounds:2,rules:3,peak:7,longest:4,steps:6,word:0,work:824,nodes:22,pairs:17,completionMax:48us [09m33s] 16250 ab:aab=ba,baba=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16250 ab:aab=ba,baba=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16251 solved: rounds:3,rules:3,peak:4,longest:8,steps:10,word:5,work:523,nodes:28,pairs:5,completionMax:31us [09m33s] 16251 ab:aab=ba,baba=ba infinite reversed:a/b - - ab:aaaab=aab,ba=aab,aabb=aab [09m33s] from: 16251 ab:aab=ba,baba=ba infinite to: 5388 ab:aab=ab,bba=ab infinite a=b,b=a [09m33s] # 16252 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:5,work:86,nodes:18,pairs:0,completionMax:5us [09m33s] 16252 ab:aab=ba,baba=bb infinite reversed:a/b - - ab:ba=aab,aaaaaabb=bb [09m33s] # 16253 solved: rounds:1,rules:3,peak:3,longest:10,steps:11,word:6,work:235,nodes:28,pairs:1,completionMax:18us [09m33s] 16253 ab:aab=ba,babb=aa infinite reversed:a/b - - ab:aaaaaaaaaa=aaa,ba=aab,aabbb=aa [09m33s] # 16254 solved: rounds:2,rules:3,peak:11,longest:5,steps:7,word:0,work:1722,nodes:24,pairs:14,completionMax:73us [09m33s] 16254 ab:aab=ba,babb=ab infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:ba=ab,aab=ab,abbb=ab [09m33s] # 16255 solved: rounds:1,rules:3,peak:3,longest:11,steps:11,word:6,work:201,nodes:30,pairs:1,completionMax:9us [09m33s] 16255 ab:aab=ba,babb=ba infinite reversed:a/b - - ab:aaaaaaaaaab=aaaab,ba=aab,aabbb=aab [09m33s] # 16256 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:7,work:470,nodes:26,pairs:6,completionMax:33us [09m33s] 16256 ab:aab=ba,babb=bb infinite reversed:a/b - - ab:ba=aab,aabb=bb,bbb=bb [09m33s] # 16257 solved: rounds:3,rules:3,peak:4,longest:10,steps:8,word:7,work:592,nodes:30,pairs:9,completionMax:49us [09m33s] 16257 ab:aab=ba,bbaa=aa infinite reversed:a/b - - ab:aaaaa=aa,ba=aab,aabb=aa [09m33s] from: 16257 ab:aab=ba,bbaa=aa infinite to: 16233 ab:aab=ba,abba=aa infinite a=a,b=b [09m33s] # 16258 solved: rounds:3,rules:3,peak:12,longest:5,steps:5,word:0,work:2757,nodes:28,pairs:21,completionMax:120us [09m33s] 16258 ab:aab=ba,bbaa=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16258 ab:aab=ba,bbaa=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16259 solved: rounds:3,rules:3,peak:4,longest:10,steps:10,word:7,work:571,nodes:32,pairs:5,completionMax:26us [09m33s] 16259 ab:aab=ba,bbaa=ba infinite reversed:a/b - - ab:aaaab=aab,ba=aab,aabb=aab [09m33s] from: 16259 ab:aab=ba,bbaa=ba infinite to: 5388 ab:aab=ab,bba=ab infinite a=b,b=a [09m33s] # 16260 solved: rounds:0,rules:2,peak:2,longest:10,steps:9,word:7,work:120,nodes:22,pairs:0,completionMax:6us [09m33s] 16260 ab:aab=ba,bbaa=bb infinite reversed:a/b - - ab:ba=aab,aaaaaaaabb=bb [09m33s] # 16261 solved: rounds:2,rules:3,peak:7,longest:10,steps:17,word:6,work:2037,nodes:42,pairs:11,completionMax:78us [09m33s] 16261 ab:aab=ba,bbab=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabbb=aa [09m33s] # 16262 solved: rounds:4,rules:3,peak:8,longest:5,steps:6,word:1,work:1408,nodes:26,pairs:32,completionMax:123us [09m33s] 16262 ab:aab=ba,bbab=ab infinite a/b - - ab:baaaa=ba,ab=baa,bbba=ba [09m33s] # 16263 solved: rounds:3,rules:3,peak:5,longest:11,steps:13,word:6,work:620,nodes:44,pairs:6,completionMax:39us [09m33s] 16263 ab:aab=ba,bbab=ba infinite reversed:a/b - - ab:aaaab=aab,ba=aab,aabbb=aab [09m33s] # 16264 solved: rounds:2,rules:3,peak:4,longest:10,steps:11,word:7,work:490,nodes:30,pairs:5,completionMax:24us [09m33s] 16264 ab:aab=ba,bbab=bb infinite reversed:a/b - - ab:ba=aab,aaaabb=bb,bbb=bb [09m33s] # 16265 solved: rounds:3,rules:3,peak:7,longest:11,steps:26,word:7,work:3550,nodes:46,pairs:14,completionMax:146us [09m33s] 16265 ab:aab=ba,bbba=aa infinite reversed:a/b - - ab:aaa=aa,ba=aab,aabbb=aa [09m33s] from: 16265 ab:aab=ba,bbba=aa infinite to: 16261 ab:aab=ba,bbab=aa infinite a=a,b=b [09m33s] # 16266 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:0,work:683,nodes:22,pairs:21,completionMax:44us [09m33s] 16266 ab:aab=ba,bbba=ab infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:ba=ab,aab=ab,abbb=ab [09m33s] from: 16266 ab:aab=ba,bbba=ab infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 16254 ab:aab=ba,babb=ab infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 16267 solved: rounds:4,rules:3,peak:4,longest:11,steps:11,word:7,work:575,nodes:42,pairs:5,completionMax:29us [09m33s] 16267 ab:aab=ba,bbba=ba infinite reversed:a/b - - ab:aaaaaaaab=aab,ba=aab,aabbb=aab [09m33s] # 16268 solved: rounds:2,rules:3,peak:4,longest:11,steps:11,word:7,work:595,nodes:38,pairs:6,completionMax:23us [09m33s] 16268 ab:aab=ba,bbba=bb infinite reversed:a/b - - ab:ba=aab,aaaabb=bb,bbb=bb [09m33s] from: 16268 ab:aab=ba,bbba=bb infinite to: 16264 ab:aab=ba,bbab=bb infinite a=a,b=b [09m33s] # 16269 solved: rounds:2,rules:4,peak:4,longest:9,steps:2,word:6,work:321,nodes:26,pairs:5,completionMax:35us [09m33s] 16269 ab:aab=ba,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,abbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbbbb,abbbb=bbbbbbbb,ba=bbbbb,aa=bbbb [09m33s] # 16270 solved: rounds:2,rules:3,peak:3,longest:8,steps:3,word:5,work:193,nodes:18,pairs:2,completionMax:15us [09m33s] 16270 ab:aab=ba,bbbb=ab infinite b/a - - ab:bbbbbbbb=bbbbb,ab=bbbb,ba=bbbbbbb [09m33s] # 16271 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:4,work:191,nodes:20,pairs:1,completionMax:13us [09m33s] 16271 ab:aab=ba,bbbb=ba infinite b/a - - ab:bbbbbbbb=bbbbb,ba=bbbb,aab=bbbb [09m33s] # 16272 solved: rounds:1,rules:3,peak:3,longest:18,steps:17,word:15,work:430,nodes:40,pairs:1,completionMax:20us [09m33s] 16272 ab:aab=ba,bbbb=bb infinite reversed:a/b - - ab:ba=aab,aaaaaaaaaaaaaaaabb=aaaabb,bbbb=bb [09m33s] # 16273 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:64,nodes:12,pairs:2,completionMax:8us [09m33s] 16273 ab:aab=bb,aaaa=aa infinite ab - - ab:aab=bb,bbb=bb,aaaa=aa [09m33s] # 16274 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:3,work:800,nodes:24,pairs:2,completionMax:25us [09m33s] 16274 ab:aab=bb,aaaa=ab finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,baaaaa=aaaaaa,ab=aaaa,bb=aaaaa [09m33s] # 16275 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:2,work:756,nodes:16,pairs:2,completionMax:27us [09m33s] 16275 ab:aab=bb,aaaa=ba finite:12;idempotents:1,aaaab,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,ba=aaaa,aaaaab=aaaab,bb=aab [09m33s] # 16276 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:57,nodes:14,pairs:1,completionMax:10us [09m33s] 16276 ab:aab=bb,aaaa=bb infinite a/b - - ab:baaaa=aaaaaa,aab=aaaa,bb=aaaa [09m33s] # 16277 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:337,nodes:18,pairs:12,completionMax:47us [09m33s] 16277 ab:aab=bb,aaab=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] from: 16277 ab:aab=bb,aaab=aa infinite to: 5408 ab:aab=bb,abb=aa infinite a=a,b=b [09m33s] # 16278 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:6us [09m33s] 16278 ab:aab=bb,aaab=ab infinite ab - - ab:aab=bb,abb=ab,bbb=bb [09m33s] # 16279 solved: rounds:3,rules:3,peak:5,longest:6,steps:14,word:2,work:1226,nodes:22,pairs:5,completionMax:40us [09m33s] 16279 ab:aab=bb,aaab=ba infinite b/a - - ab:bbbb=bbb,ba=abb,aab=bb [09m33s] from: 16279 ab:aab=bb,aaab=ba infinite to: 5394 ab:aab=ba,abb=aa infinite anti:a=b,b=a [09m33s] # 16280 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:4us [09m33s] 16280 ab:aab=bb,aaab=bb infinite ab - - ab:aab=bb,abb=bb,bbb=bb [09m33s] # 16281 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:1,work:372,nodes:22,pairs:11,completionMax:32us [09m33s] 16281 ab:aab=bb,aaba=aa infinite a/b - - ab:aaaaaa=aaa,baa=aaaa,aaba=aa,bb=aab [09m33s] from: 16281 ab:aab=bb,aaba=aa infinite to: 5414 ab:aab=bb,bba=aa infinite a=a,b=b [09m33s] # 16282 solved: rounds:4,rules:3,peak:6,longest:6,steps:14,word:3,work:1385,nodes:28,pairs:34,completionMax:100us [09m33s] 16282 ab:aab=bb,aaba=ab infinite reversed:b/a - - ab:bbb=bb,ab=bba,bbaa=bb [09m33s] from: 16282 ab:aab=bb,aaba=ab infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=b,b=a [09m33s] # 16283 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:119,nodes:12,pairs:1,completionMax:6us [09m33s] 16283 ab:aab=bb,aaba=ba infinite ab - - ab:aab=bb,bba=ba,bbbb=bbb [09m33s] # 16284 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:100,nodes:12,pairs:1,completionMax:4us [09m33s] 16284 ab:aab=bb,aaba=bb infinite ab - - ab:aab=bb,bba=bb,bbbb=bbb [09m33s] # 16285 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:1,work:272,nodes:20,pairs:8,completionMax:30us [09m33s] 16285 ab:aab=bb,aabb=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] from: 16285 ab:aab=bb,aabb=aa infinite to: 5345 ab:aaa=bb,abb=aa infinite a=b,b=a [09m33s] # 16286 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:32,nodes:12,pairs:1,completionMax:8us [09m33s] 16286 ab:aab=bb,aabb=ab infinite b/a - - ab:bbbbb=bb,ab=bbb [09m33s] from: 16286 ab:aab=bb,aabb=ab infinite to: 5319 ab:aaa=ab,abb=aa infinite anti:a=b,b=a [09m33s] # 16287 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:68,nodes:16,pairs:1,completionMax:10us [09m33s] 16287 ab:aab=bb,aabb=ba infinite b/a - - ab:bbbbbb=bbb,ba=bbb,aab=bb [09m33s] from: 16287 ab:aab=bb,aabb=ba infinite to: 5331 ab:aaa=ab,bba=aa infinite a=b,b=a [09m33s] # 16288 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:10,pairs:0,completionMax:2us [09m33s] 16288 ab:aab=bb,aabb=bb infinite ab - - ab:aab=bb,bbb=bb [09m33s] # 16289 solved: rounds:2,rules:5,peak:8,longest:6,steps:2,word:2,work:600,nodes:24,pairs:15,completionMax:43us [09m33s] 16289 ab:aab=bb,abaa=aa infinite b/a - - ab:bbbbb=bb,abb=bbbb,aab=bb,aaa=bbaa,abaa=aa [09m33s] # 16290 solved: rounds:2,rules:5,peak:5,longest:6,steps:4,word:1,work:460,nodes:26,pairs:5,completionMax:20us [09m33s] 16290 ab:aab=bb,abaa=ab infinite a/b - - ab:abaa=ab,aaaaab=aaab,bb=aab,baab=aaaab,baaaab=aaaab [09m33s] # 16291 solved: rounds:4,rules:5,peak:9,longest:5,steps:8,word:2,work:1835,nodes:24,pairs:14,completionMax:111us [09m33s] 16291 ab:aab=bb,abaa=ba infinite b/a - - ab:bbbb=bbb,bab=abbb,bba=ba,aab=bb,baa=aba [09m33s] # 16292 solved: rounds:2,rules:4,peak:4,longest:10,steps:17,word:19,work:2531,nodes:30,pairs:10,completionMax:69us [09m33s] 16292 ab:aab=bb,abaa=bb infinite a/b - - ab:abaaaaaaaa=abaaaaaa,aab=abaa,bb=abaa,babaa=abaaaaaa [09m33s] # 16293 solved: rounds:2,rules:6,peak:7,longest:7,steps:4,word:1,work:893,nodes:26,pairs:13,completionMax:70us [09m33s] 16293 ab:aab=bb,abab=aa finite:14;idempotents:1,aaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaa,baaa=aaaaa,abaa=aaaaa,aab=aaaa,bb=aaaa,abab=aa [09m33s] # 16294 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:45,nodes:16,pairs:1,completionMax:7us [09m33s] 16294 ab:aab=bb,abab=ab infinite ab - - ab:aab=bb,abab=ab,bbab=bb [09m33s] # 16295 solved: rounds:3,rules:3,peak:8,longest:8,steps:9,word:9,work:2378,nodes:30,pairs:21,completionMax:133us [09m33s] 16295 ab:aab=bb,abab=ba infinite reversed:a/b - - ab:aaaaaaab=aaaab,ba=aaaab,bb=aab [09m33s] # 16296 solved: rounds:3,rules:5,peak:5,longest:6,steps:7,word:2,work:830,nodes:16,pairs:10,completionMax:35us [09m33s] 16296 ab:aab=bb,abab=bb infinite reversed:b/a - - ab:bbbb=bbb,bbbab=bbab,abb=bbab,aab=bb,abab=bb [09m33s] # 16297 solved: rounds:4,rules:4,peak:8,longest:8,steps:3,word:1,work:1221,nodes:32,pairs:12,completionMax:85us [09m33s] 16297 ab:aab=bb,abba=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,aaba=aaaaa,bb=aab [09m33s] # 16298 solved: rounds:4,rules:5,peak:9,longest:6,steps:3,word:1,work:1182,nodes:28,pairs:13,completionMax:76us [09m33s] 16298 ab:aab=bb,abba=ab infinite b/a - - ab:bbbbb=bb,abbbb=ab,bba=bbbb,aab=bb,aba=abbb [09m33s] # 16299 solved: rounds:2,rules:6,peak:8,longest:6,steps:3,word:1,work:664,nodes:22,pairs:10,completionMax:65us [09m33s] 16299 ab:aab=bb,abba=ba infinite b/a - - ab:bbbbbb=bbb,abbb=bbbbb,bbbba=ba,aab=bb,aba=bbba,abba=ba [09m33s] # 16300 solved: rounds:5,rules:4,peak:8,longest:5,steps:5,word:0,work:1657,nodes:24,pairs:25,completionMax:82us [09m33s] 16300 ab:aab=bb,abba=bb infinite ab - - ab:aab=bb,bba=abb,bbb=bb,babb=abb [09m33s] # 16301 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:2,work:296,nodes:22,pairs:8,completionMax:35us [09m33s] 16301 ab:aab=bb,abbb=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] # 16302 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:42,nodes:16,pairs:1,completionMax:6us [09m33s] 16302 ab:aab=bb,abbb=ab infinite ab - - ab:aab=bb,abbb=ab,bbbb=bb [09m33s] # 16303 solved: rounds:3,rules:3,peak:6,longest:11,steps:24,word:6,work:2259,nodes:36,pairs:12,completionMax:112us [09m33s] 16303 ab:aab=bb,abbb=ba infinite b/a - - ab:bbbbb=bbb,ba=abbb,aab=bb [09m33s] # 16304 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:62,nodes:16,pairs:3,completionMax:10us [09m33s] 16304 ab:aab=bb,abbb=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,aab=bb [09m33s] # 16305 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:67,nodes:14,pairs:3,completionMax:14us [09m33s] 16305 ab:aab=bb,baaa=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,bb=aab [09m33s] # 16306 solved: rounds:1,rules:3,peak:3,longest:16,steps:22,word:11,work:554,nodes:34,pairs:1,completionMax:20us [09m33s] 16306 ab:aab=bb,baaa=ab infinite a/b - - ab:baaaaaaaaaaaaaaa=baaaaaaaaa,ab=baaa,bb=baaaaaa [09m33s] # 16307 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:167,nodes:18,pairs:2,completionMax:10us [09m33s] 16307 ab:aab=bb,baaa=ba infinite ab - - ab:aab=bb,baaa=ba,babb=bab,bbbb=bbb [09m33s] # 16308 solved: rounds:2,rules:4,peak:4,longest:13,steps:10,word:5,work:670,nodes:36,pairs:5,completionMax:31us [09m33s] 16308 ab:aab=bb,baaa=bb infinite a/b - - ab:baaaaaaaaaaaa=baaaaaaaaa,aab=baaa,bb=baaa,babaaa=baaaaaa [09m33s] # 16309 solved: rounds:1,rules:4,peak:6,longest:6,steps:2,word:1,work:282,nodes:18,pairs:4,completionMax:28us [09m33s] 16309 ab:aab=bb,baab=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] from: 16309 ab:aab=bb,baab=aa infinite to: 5345 ab:aaa=bb,abb=aa infinite a=b,b=a [09m33s] # 16310 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:33,nodes:12,pairs:1,completionMax:7us [09m33s] 16310 ab:aab=bb,baab=ab infinite b/a - - ab:bbbbb=bb,ab=bbb [09m33s] from: 16310 ab:aab=bb,baab=ab infinite to: 5319 ab:aaa=ab,abb=aa infinite anti:a=b,b=a [09m33s] # 16311 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:69,nodes:16,pairs:1,completionMax:10us [09m33s] 16311 ab:aab=bb,baab=ba infinite b/a - - ab:bbbbbb=bbb,ba=bbb,aab=bb [09m33s] from: 16311 ab:aab=bb,baab=ba infinite to: 5331 ab:aaa=ab,bba=aa infinite a=b,b=a [09m33s] # 16312 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:10,pairs:0,completionMax:3us [09m33s] 16312 ab:aab=bb,baab=bb infinite ab - - ab:aab=bb,bbb=bb [09m33s] from: 16312 ab:aab=bb,baab=bb infinite to: 16288 ab:aab=bb,aabb=bb infinite a=a,b=b [09m33s] # 16313 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:1,work:217,nodes:22,pairs:5,completionMax:29us [09m33s] 16313 ab:aab=bb,baba=aa finite:18;idempotents:1,aaaa,aaaaaab a/b - - ab:aaaaaaa=aaa,baa=aaaa,aaba=aaaaa,bb=aab,baba=aa [09m33s] # 16314 solved: rounds:4,rules:3,peak:7,longest:6,steps:4,word:2,work:867,nodes:24,pairs:16,completionMax:85us [09m33s] 16314 ab:aab=bb,baba=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bba=bbbb [09m33s] # 16315 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:62,nodes:14,pairs:1,completionMax:11us [09m33s] 16315 ab:aab=bb,baba=ba infinite ab - - ab:aab=bb,baba=ba,babbb=bbb [09m33s] # 16316 solved: rounds:2,rules:6,peak:7,longest:5,steps:5,word:0,work:1101,nodes:20,pairs:10,completionMax:46us [09m33s] 16316 ab:aab=bb,baba=bb infinite ba - - ab:aab=bb,bbbb=bbb,bbab=bbba,babb=bbba,baba=bb,bbbaa=bbb [09m33s] # 16317 solved: rounds:2,rules:4,peak:5,longest:9,steps:2,word:6,work:348,nodes:20,pairs:14,completionMax:34us [09m33s] 16317 ab:aab=bb,babb=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] from: 16317 ab:aab=bb,babb=aa infinite to: 16301 ab:aab=bb,abbb=aa infinite a=a,b=b [09m33s] # 16318 solved: rounds:2,rules:4,peak:4,longest:4,steps:5,word:0,work:299,nodes:18,pairs:3,completionMax:24us [09m33s] 16318 ab:aab=bb,babb=ab infinite ab - - ab:aab=bb,bab=abb,abbb=ab,bbbb=bb [09m33s] # 16319 solved: rounds:2,rules:5,peak:6,longest:5,steps:4,word:2,work:453,nodes:22,pairs:4,completionMax:32us [09m33s] 16319 ab:aab=bb,babb=ba infinite reversed:b/a - - ab:bbbbb=bbb,bbba=ba,bab=bba,baa=bbbb,aab=bb [09m33s] # 16320 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:2us [09m33s] 16320 ab:aab=bb,babb=bb infinite ab - - ab:aab=bb,babb=bb [09m33s] # 16321 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:321,nodes:24,pairs:11,completionMax:45us [09m33s] 16321 ab:aab=bb,bbaa=aa infinite a/b - - ab:aaaaaa=aa,baa=aaaa,bb=aab [09m33s] # 16322 solved: rounds:3,rules:3,peak:6,longest:5,steps:2,word:2,work:315,nodes:20,pairs:8,completionMax:39us [09m33s] 16322 ab:aab=bb,bbaa=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bbaa=bbb [09m33s] # 16323 solved: rounds:4,rules:5,peak:6,longest:6,steps:2,word:1,work:417,nodes:20,pairs:5,completionMax:52us [09m33s] 16323 ab:aab=bb,bbaa=ba infinite b/a - - ab:bbbbbb=bbb,bab=bbbb,bbbba=ba,aab=bb,baa=bbba [09m33s] # 16324 solved: rounds:2,rules:9,peak:9,longest:4,steps:2,word:0,work:286,nodes:24,pairs:13,completionMax:29us [09m33s] 16324 ab:aab=bb,bbaa=bb infinite acb bb=c frequency:2/0 abc:cb=cc,bc=cc,bb=c,aac=cc,aab=c,caa=c,cab=cac,ccc=cc,cacc=cac [09m33s] # 16325 solved: rounds:2,rules:4,peak:6,longest:7,steps:2,word:1,work:361,nodes:28,pairs:10,completionMax:57us [09m33s] 16325 ab:aab=bb,bbab=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaa,bb=aab,aabab=aa [09m33s] # 16326 solved: rounds:2,rules:4,peak:4,longest:4,steps:4,word:0,work:225,nodes:18,pairs:5,completionMax:26us [09m33s] 16326 ab:aab=bb,bbab=ab infinite ab - - ab:aab=bb,bab=abb,abbb=ab,bbbb=bb [09m33s] from: 16326 ab:aab=bb,bbab=ab infinite to: 16318 ab:aab=bb,babb=ab infinite a=a,b=b [09m33s] # 16327 solved: rounds:3,rules:5,peak:9,longest:5,steps:6,word:1,work:1237,nodes:28,pairs:20,completionMax:73us [09m33s] 16327 ab:aab=bb,bbab=ba infinite reversed:b/a - - ab:bbbbb=bbb,bbba=ba,bab=bba,baa=bbbb,aab=bb [09m33s] from: 16327 ab:aab=bb,bbab=ba infinite to: 16319 ab:aab=bb,babb=ba infinite a=a,b=b [09m33s] # 16328 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:2us [09m33s] 16328 ab:aab=bb,bbab=bb infinite ab - - ab:aab=bb,bbab=bb [09m33s] # 16329 solved: rounds:5,rules:4,peak:8,longest:9,steps:2,word:2,work:1174,nodes:36,pairs:32,completionMax:90us [09m33s] 16329 ab:aab=bb,bbba=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaa,aaba=aaaaa,bb=aab [09m33s] # 16330 solved: rounds:4,rules:3,peak:9,longest:11,steps:24,word:16,work:5208,nodes:52,pairs:16,completionMax:222us [09m33s] 16330 ab:aab=bb,bbba=ab infinite reversed:b/a - - ab:bbbb=bb,ab=bbba,bbaa=bbb [09m33s] # 16331 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:96,nodes:14,pairs:1,completionMax:7us [09m33s] 16331 ab:aab=bb,bbba=ba infinite ab - - ab:aab=bb,bbba=ba,bbbbb=bbb [09m33s] # 16332 solved: rounds:4,rules:3,peak:5,longest:6,steps:3,word:1,work:394,nodes:18,pairs:6,completionMax:44us [09m33s] 16332 ab:aab=bb,bbba=bb infinite b/a - - ab:bbbbb=bb,bba=bbbb,aab=bb [09m33s] # 16333 solved: rounds:2,rules:4,peak:5,longest:8,steps:3,word:3,work:292,nodes:24,pairs:8,completionMax:31us [09m33s] 16333 ab:aab=bb,bbbb=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaa,aab=aaaa,bb=aaaa [09m33s] # 16334 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:2,work:39,nodes:16,pairs:1,completionMax:13us [09m33s] 16334 ab:aab=bb,bbbb=ab infinite b/a - - ab:bbbbbbb=bb,ab=bbbb [09m33s] # 16335 solved: rounds:1,rules:3,peak:3,longest:8,steps:1,word:2,work:82,nodes:20,pairs:1,completionMax:12us [09m33s] 16335 ab:aab=bb,bbbb=ba infinite b/a - - ab:bbbbbbbb=bbb,ba=bbbb,aab=bb [09m33s] # 16336 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:4us [09m33s] 16336 ab:aab=bb,bbbb=bb infinite ab - - ab:aab=bb,bbbb=bb [09m33s] # 16337 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:38,nodes:10,pairs:0,completionMax:5us [09m33s] 16337 ab:aba=aa,aaaa=aa infinite ab - - ab:aba=aa,aaaa=aa [09m33s] # 16338 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:2,work:63,nodes:10,pairs:2,completionMax:8us [09m33s] 16338 ab:aba=aa,aaaa=ab infinite a/b - - ab:aaaaa=aa,ab=aaaa [09m33s] from: 16338 ab:aba=aa,aaaa=ab infinite to: 16082 ab:aab=aa,aaaa=ab infinite a=a,b=b [09m33s] # 16339 solved: rounds:2,rules:5,peak:5,longest:9,steps:2,word:2,work:520,nodes:30,pairs:3,completionMax:37us [09m33s] 16339 ab:aba=aa,aaaa=bb finite:20;idempotents:1,aaaaaaaa;center:1,aaaa,aaaaa,baaaa,baaab,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaaaa,baaaaa=aaaaa,aba=aa,aaaab=baaaa,bb=aaaa [09m33s] # 16340 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:292,nodes:10,pairs:7,completionMax:28us [09m33s] 16340 ab:aba=aa,aaab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=aa [09m33s] # 16341 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:65,nodes:10,pairs:1,completionMax:8us [09m33s] 16341 ab:aba=aa,aaab=ab infinite ab - - ab:aba=aa,aaaa=aa,aaab=ab [09m33s] # 16342 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:1,work:751,nodes:20,pairs:16,completionMax:76us [09m33s] 16342 ab:aba=aa,aaab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,aab=aa [09m33s] # 16343 solved: rounds:3,rules:6,peak:6,longest:8,steps:3,word:2,work:886,nodes:26,pairs:12,completionMax:57us [09m33s] 16343 ab:aba=aa,aaab=bb finite:20;idempotents:1,aaaaaa,aaaaaab a/b - - ab:aaaaaaaa=aaaaa,baaaa=aaaaaaa,aba=aa,aaaaaaab=aaaab,bb=aaab,baaab=aaaaaab [09m33s] # 16344 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:60,nodes:8,pairs:0,completionMax:5us [09m33s] 16344 ab:aba=aa,aaba=aa infinite ab - - ab:aaa=aa,aba=aa [09m33s] from: 16344 ab:aba=aa,aaba=aa infinite to: 5298 ab:aaa=aa,aba=aa infinite a=a,b=b [09m33s] # 16345 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:57,nodes:8,pairs:2,completionMax:9us [09m33s] 16345 ab:aba=aa,aaba=ab infinite a/b - - ab:aaaa=aa,ab=aaa [09m33s] from: 16345 ab:aba=aa,aaba=ab infinite to: 5311 ab:aaa=ab,aab=aa infinite a=a,b=b [09m33s] # 16346 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:48,nodes:10,pairs:1,completionMax:7us [09m33s] 16346 ab:aba=aa,aaba=ba infinite a/b - - ab:aaaa=aa,ba=aaa [09m33s] from: 16346 ab:aba=aa,aaba=ba infinite to: 5311 ab:aaa=ab,aab=aa infinite anti:a=a,b=b [09m33s] # 16347 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:1,work:358,nodes:24,pairs:3,completionMax:27us [09m33s] 16347 ab:aba=aa,aaba=bb finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaa,baaa,baab,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaaa=aaaa,aba=aa,aaab=baaa,bb=aaa [09m33s] from: 16347 ab:aba=aa,aaba=bb finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaa,baaa,baab,aaaaa,aaaaaa to: 5342 ab:aaa=bb,aba=aa finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaa,baaa,baab,aaaaa,aaaaaa a=a,b=b [09m33s] # 16348 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [09m33s] 16348 ab:aba=aa,aabb=aa infinite ab - - ab:aba=aa,aabb=aa [09m33s] # 16349 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [09m33s] 16349 ab:aba=aa,aabb=ab infinite ab - - ab:aba=aa,aabb=ab [09m33s] # 16350 solved: rounds:4,rules:3,peak:8,longest:5,steps:3,word:0,work:833,nodes:22,pairs:18,completionMax:69us [09m33s] 16350 ab:aba=aa,aabb=ba infinite ab - - ab:ba=aa,aaa=aa,aabb=aa [09m33s] # 16351 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:92,nodes:16,pairs:3,completionMax:14us [09m33s] 16351 ab:aba=aa,aabb=bb infinite ab - - ab:aba=aa,bbb=bb,aabb=bb [09m33s] # 16352 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:3us [09m33s] 16352 ab:aba=aa,abab=aa infinite ab - - ab:aab=aa,aba=aa [09m33s] from: 16352 ab:aba=aa,abab=aa infinite to: 5353 ab:aab=aa,aba=aa infinite a=a,b=b [09m33s] # 16353 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:91,nodes:8,pairs:2,completionMax:8us [09m33s] 16353 ab:aba=aa,abab=ab infinite ab - - ab:aaa=aa,aab=ab,aba=aa [09m33s] from: 16353 ab:aba=aa,abab=ab infinite to: 5373 ab:aab=ab,aba=aa infinite a=a,b=b [09m33s] # 16354 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:635,nodes:18,pairs:15,completionMax:55us [09m33s] 16354 ab:aba=aa,abab=ba infinite ab - - ab:ba=aa,aaa=aa,aab=aa [09m33s] from: 16354 ab:aba=aa,abab=ba infinite to: 5390 ab:aab=ba,aba=aa infinite a=a,b=b [09m33s] # 16355 solved: rounds:3,rules:6,peak:6,longest:6,steps:3,word:1,work:600,nodes:20,pairs:12,completionMax:46us [09m33s] 16355 ab:aba=aa,abab=bb finite:14;idempotents:1,aaaa,aaaab a/b - - ab:aaaaaa=aaaa,baaa=aaaaa,aba=aa,aaaaab=aaab,bb=aab,baab=aaaab [09m33s] from: 16355 ab:aba=aa,abab=bb finite:14;idempotents:1,aaaa,aaaab to: 5404 ab:aab=bb,aba=aa finite:14;idempotents:1,aaaa,aaaab a=a,b=b [09m33s] # 16356 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:8,pairs:0,completionMax:5us [09m33s] 16356 ab:aba=aa,abba=aa infinite ab - - ab:aba=aa,abba=aa [09m33s] # 16357 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:349,nodes:14,pairs:7,completionMax:30us [09m33s] 16357 ab:aba=aa,abba=ab infinite ab - - ab:ab=aa,aaa=aa [09m33s] from: 16357 ab:aba=aa,abba=ab infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [09m33s] # 16358 solved: rounds:2,rules:5,peak:7,longest:4,steps:3,word:0,work:796,nodes:22,pairs:13,completionMax:56us [09m33s] 16358 ab:aba=aa,abba=bb infinite ab - - ab:aba=aa,bba=abb,bbb=bb,aabb=bb,babb=abb [09m33s] # 16359 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [09m33s] 16359 ab:aba=aa,abbb=aa infinite ab - - ab:aba=aa,abbb=aa [09m33s] # 16360 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [09m33s] 16360 ab:aba=aa,abbb=ab infinite ab - - ab:aba=aa,abbb=ab [09m33s] # 16361 solved: rounds:1,rules:2,peak:2,longest:5,steps:7,word:8,work:152,nodes:12,pairs:2,completionMax:13us [09m33s] 16361 ab:aba=aa,abbb=ba infinite b/a - - ab:ba=abbb,aabbb=aa [09m33s] # 16362 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:65,nodes:10,pairs:3,completionMax:10us [09m33s] 16362 ab:aba=aa,abbb=bb infinite ab - - ab:aba=aa,abb=bb,bbb=bb [09m33s] # 16363 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:69,nodes:16,pairs:3,completionMax:13us [09m33s] 16363 ab:aba=aa,baab=aa infinite ab - - ab:aba=aa,aaab=aaa,baaa=aaa,baab=aa [09m33s] # 16364 solved: rounds:4,rules:5,peak:6,longest:4,steps:3,word:0,work:618,nodes:16,pairs:13,completionMax:58us [09m33s] 16364 ab:aba=aa,baab=ab infinite ab - - ab:aaa=aa,aab=ab,aba=aa,baa=aa,bab=ab [09m33s] # 16365 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:4,work:227,nodes:14,pairs:4,completionMax:29us [09m33s] 16365 ab:aba=aa,baab=bb infinite a/b - - ab:aba=aa,bba=baaa,baab=bb,abb=aaab,bbb=baaaab [09m33s] # 16366 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:387,nodes:22,pairs:5,completionMax:25us [09m33s] 16366 ab:aba=aa,babb=aa infinite ab - - ab:aba=aa,aabb=aaa,baaa=aaaa,babb=aa,aaaaa=aaaa [09m33s] # 16367 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:146,nodes:18,pairs:6,completionMax:22us [09m33s] 16367 ab:aba=aa,babb=ab infinite ab - - ab:aba=aa,aabb=aab,baaa=aaa,baab=aab,babb=ab [09m33s] # 16368 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:36,nodes:16,pairs:2,completionMax:5us [09m33s] 16368 ab:aba=aa,babb=ba infinite ab - - ab:aba=aa,aabb=aa,babb=ba [09m33s] # 16369 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:42,nodes:16,pairs:1,completionMax:8us [09m33s] 16369 ab:aba=aa,babb=bb infinite ab - - ab:aba=aa,aabb=abb,babb=bb [09m33s] # 16370 solved: rounds:2,rules:6,peak:6,longest:9,steps:8,word:2,work:2596,nodes:36,pairs:10,completionMax:74us [09m33s] 16370 ab:aba=aa,bbbb=aa infinite b/a - - ab:bbbbbbbbb=bbbbbbbb,abbbbb=abbbb,babbbb=abbbb,bbbba=abbbb,aa=bbbb,aba=bbbb [09m33s] # 16371 solved: rounds:1,rules:3,peak:3,longest:8,steps:7,word:4,work:566,nodes:18,pairs:3,completionMax:22us [09m33s] 16371 ab:aba=aa,bbbb=ab finite:16;idempotents:1,bbbbbbb,bbbbbbba b/a - - ab:bbbbbbbb=bbbbbbb,ab=bbbb,aa=bbbba [09m33s] # 16372 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:4us [09m33s] 16372 ab:aba=aa,bbbb=bb infinite ab - - ab:aba=aa,bbbb=bb [09m33s] # 16373 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:113,nodes:15,pairs:6,completionMax:18us [09m33s] 16373 ab:aba=ab,aaaa=aa infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaaa=aa,aaac=ac [09m33s] # 16374 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:4,work:201,nodes:10,pairs:2,completionMax:9us [09m33s] 16374 ab:aba=ab,aaaa=ab infinite a/b - - ab:aaaaa=aaaa,ab=aaaa [09m33s] from: 16374 ab:aba=ab,aaaa=ab infinite to: 16146 ab:aab=ab,aaaa=ab infinite a=a,b=b [09m33s] # 16375 solved: rounds:2,rules:3,peak:4,longest:9,steps:8,word:6,work:1092,nodes:20,pairs:3,completionMax:29us [09m33s] 16375 ab:aba=ab,aaaa=ba infinite a/b - - ab:aaaaaa=aaaaa,ba=aaaa,ab=aaaaa [09m33s] # 16376 solved: rounds:3,rules:4,peak:10,longest:5,steps:6,word:2,work:1331,nodes:26,pairs:16,completionMax:71us [09m33s] 16376 ab:aba=ab,aaaa=bb finite:11;idempotents:1,bbbb;center:1,bb,bbb,baaa,bbbb b/a - - ab:bbbbb=bbb,ab=bbb,bba=bbbb,aaaa=bb [09m33s] from: 16376 ab:aba=ab,aaaa=bb finite:11;idempotents:1,bbbb;center:1,bb,bbb,baaa,bbbb to: 16148 ab:aab=ab,aaaa=bb finite:11;idempotents:1,bbbb;center:1,bb,bbb,baaa,bbbb a=a,b=b [09m33s] # 16377 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:153,nodes:10,pairs:6,completionMax:24us [09m33s] 16377 ab:aba=ab,aaab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=ab,abb=ab [09m33s] from: 16377 ab:aba=ab,aaab=aa infinite to: 5354 ab:aab=aa,aba=ab infinite a=a,b=b [09m33s] # 16378 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:58,nodes:15,pairs:6,completionMax:15us [09m33s] 16378 ab:aba=ab,aaab=ab infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aac=c [09m33s] # 16379 solved: rounds:1,rules:2,peak:2,longest:5,steps:6,word:8,work:129,nodes:12,pairs:3,completionMax:11us [09m33s] 16379 ab:aba=ab,aaab=ba infinite reversed:a/b - - ab:aaaab=ab,ba=aaab [09m33s] # 16380 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:236,nodes:18,pairs:6,completionMax:23us [09m33s] 16380 ab:aba=ab,aaab=bb infinite ab - - ab:aba=ab,bba=bb,aaab=bb,abbb=abb,bbbb=bbb [09m33s] # 16381 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:118,nodes:8,pairs:3,completionMax:12us [09m33s] 16381 ab:aba=ab,aaba=aa infinite ab - - ab:aaa=aa,aab=aa,aba=ab,abb=ab [09m33s] from: 16381 ab:aba=ab,aaba=aa infinite to: 5354 ab:aab=aa,aba=ab infinite a=a,b=b [09m33s] # 16382 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:54,nodes:12,pairs:5,completionMax:10us [09m33s] 16382 ab:aba=ab,aaba=ab infinite acb ab=c frequency:2/1 abc:ac=c,ab=c,ca=c,cb=cc [09m33s] from: 16382 ab:aba=ab,aaba=ab infinite to: 5374 ab:aab=ab,aba=ab infinite a=a,b=b,c=c [09m33s] # 16383 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:3,work:87,nodes:10,pairs:3,completionMax:9us [09m33s] 16383 ab:aba=ab,aaba=ba infinite reversed:a/b - - ab:aaab=ab,ba=aab [09m33s] from: 16383 ab:aba=ab,aaba=ba infinite to: 5391 ab:aab=ba,aba=ab infinite a=a,b=b [09m33s] # 16384 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:230,nodes:16,pairs:6,completionMax:17us [09m33s] 16384 ab:aba=ab,aaba=bb infinite ab - - ab:aab=bb,aba=ab,bba=bb,abbb=abb,bbbb=bbb [09m33s] from: 16384 ab:aba=ab,aaba=bb infinite to: 5405 ab:aab=bb,aba=ab infinite a=a,b=b [09m33s] # 16385 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:194,nodes:12,pairs:3,completionMax:13us [09m33s] 16385 ab:aba=ab,aabb=aa infinite ab - - ab:aaa=aa,aba=ab,aabb=aa,abba=abb,abbb=ab [09m33s] # 16386 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:197,nodes:12,pairs:4,completionMax:27us [09m33s] 16386 ab:aba=ab,aabb=ab infinite ab - - ab:aab=ab,aba=ab,abb=ab [09m33s] from: 16386 ab:aba=ab,aabb=ab infinite to: 16170 ab:aab=ab,abba=ab infinite a=a,b=b [09m33s] # 16387 solved: rounds:5,rules:3,peak:8,longest:4,steps:5,word:1,work:725,nodes:20,pairs:15,completionMax:42us [09m33s] 16387 ab:aba=ab,aabb=ba infinite reversed:a/b - - ab:aaab=ab,ba=aab,abb=ab [09m33s] from: 16387 ab:aba=ab,aabb=ba infinite to: 16230 ab:aab=ba,abab=ab infinite a=a,b=b [09m33s] # 16388 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:0,work:74,nodes:16,pairs:5,completionMax:10us [09m33s] 16388 ab:aba=ab,aabb=bb infinite ab - - ab:aba=ab,bba=bb,aabb=bb [09m33s] # 16389 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:73,nodes:6,pairs:2,completionMax:9us [09m33s] 16389 ab:aba=ab,abaa=aa infinite ab - - ab:ab=aa,aaa=aa [09m33s] from: 16389 ab:aba=ab,abaa=aa infinite to: 2228 ab:ab=aa,aaa=aa infinite a=a,b=b [09m33s] # 16390 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:27,nodes:9,pairs:3,completionMax:8us [09m33s] 16390 ab:aba=ab,abaa=ab infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc [09m33s] # 16391 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:49,nodes:8,pairs:1,completionMax:7us [09m33s] 16391 ab:aba=ab,abaa=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:ba=ab,aab=ab [09m33s] from: 16391 ab:aba=ab,abaa=ba infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 2264 ab:ba=ab,aab=ab infinite;commutative:ab:a2b=ab;saturation:a:;noncancellative:a,1,ab,ab;smith:0 a=a,b=b [09m33s] # 16392 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:134,nodes:10,pairs:3,completionMax:11us [09m33s] 16392 ab:aba=ab,abaa=bb infinite ba - - ab:ab=bb,bba=bb,bbbb=bbb [09m33s] from: 16392 ab:aba=ab,abaa=bb infinite to: 16095 ab:aab=aa,aabb=ba infinite a=b,b=a [09m33s] # 16393 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:117,nodes:8,pairs:2,completionMax:9us [09m33s] 16393 ab:aba=ab,abab=aa infinite ab - - ab:aaa=aa,aab=ab,aba=ab,abb=aa [09m33s] from: 16393 ab:aba=ab,abab=aa infinite to: 16165 ab:aab=ab,abab=aa infinite a=a,b=b [09m33s] # 16394 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:0,completionMax:2us [09m33s] 16394 ab:aba=ab,abab=ab infinite ab - - ab:aba=ab,abb=ab [09m33s] # 16395 solved: rounds:3,rules:3,peak:5,longest:3,steps:4,word:0,work:220,nodes:10,pairs:5,completionMax:19us [09m33s] 16395 ab:aba=ab,abab=ba infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16395 ab:aba=ab,abab=ba infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16396 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:38,nodes:10,pairs:1,completionMax:5us [09m33s] 16396 ab:aba=ab,abab=bb infinite ab - - ab:aba=ab,abb=bb,bba=bb [09m33s] # 16397 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:180,nodes:10,pairs:5,completionMax:15us [09m33s] 16397 ab:aba=ab,abba=aa infinite ab - - ab:aaa=aa,aab=ab,aba=ab,abb=aa [09m33s] from: 16397 ab:aba=ab,abba=aa infinite to: 16165 ab:aab=ab,abab=aa infinite a=a,b=b [09m33s] # 16398 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:79,nodes:8,pairs:4,completionMax:7us [09m33s] 16398 ab:aba=ab,abba=ab infinite ab - - ab:aba=ab,abb=ab [09m33s] from: 16398 ab:aba=ab,abba=ab infinite to: 16394 ab:aba=ab,abab=ab infinite a=a,b=b [09m33s] # 16399 solved: rounds:3,rules:3,peak:5,longest:4,steps:4,word:0,work:438,nodes:14,pairs:20,completionMax:29us [09m33s] 16399 ab:aba=ab,abba=ba infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: ab - - ab:ba=ab,aab=ab,abb=ab [09m33s] from: 16399 ab:aba=ab,abba=ba infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: to: 5399 ab:aab=ba,bab=ab infinite;commutative:ab:ab2=ab,a2b=ab;saturation::;noncancellative:b,1,ab,ab;smith: a=a,b=b [09m33s] # 16400 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:88,nodes:14,pairs:5,completionMax:15us [09m33s] 16400 ab:aba=ab,abba=bb infinite ab - - ab:aba=ab,abb=bb,bba=bb [09m33s] from: 16400 ab:aba=ab,abba=bb infinite to: 16396 ab:aba=ab,abab=bb infinite a=a,b=b [09m33s] # 16401 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:219,nodes:10,pairs:5,completionMax:22us [09m33s] 16401 ab:aba=ab,abbb=aa infinite ab - - ab:aaa=aa,aab=ab,aba=ab,abba=abb,abbb=aa [09m33s] # 16402 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:71,nodes:8,pairs:1,completionMax:6us [09m33s] 16402 ab:aba=ab,abbb=ab infinite ab - - ab:aba=ab,abba=abb,abbb=ab [09m33s] # 16403 solved: rounds:4,rules:3,peak:7,longest:4,steps:3,word:0,work:679,nodes:18,pairs:12,completionMax:54us [09m33s] 16403 ab:aba=ab,abbb=ba infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:ba=ab,aab=ab,abbb=ab [09m33s] from: 16403 ab:aba=ab,abbb=ba infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 16254 ab:aab=ba,babb=ab infinite;commutative:ab:a2b=ab,ab3=ab;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [09m33s] # 16404 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:242,nodes:12,pairs:6,completionMax:20us [09m33s] 16404 ab:aba=ab,abbb=bb infinite ab - - ab:aba=ab,abb=bb,bba=bb,bbb=bb [09m33s] # 16405 solved: rounds:3,rules:3,peak:7,longest:4,steps:9,word:0,work:626,nodes:16,pairs:19,completionMax:53us [09m33s] 16405 ab:aba=ab,baaa=aa infinite ab - - ab:ab=aa,aaa=aa,baa=aa [09m33s] from: 16405 ab:aba=ab,baaa=aa infinite to: 5362 ab:aab=aa,baa=ab infinite a=a,b=b [09m33s] # 16406 solved: rounds:1,rules:2,peak:2,longest:5,steps:12,word:10,work:413,nodes:12,pairs:3,completionMax:16us [09m33s] 16406 ab:aba=ab,baaa=ab infinite a/b - - ab:baaaa=baaa,ab=baaa [09m33s] # 16407 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:101,nodes:18,pairs:7,completionMax:12us [09m33s] 16407 ab:aba=ab,baaa=ba infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,baaa=ba,baac=bc [09m33s] # 16408 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:266,nodes:16,pairs:6,completionMax:21us [09m33s] 16408 ab:aba=ab,baaa=bb infinite ab - - ab:aba=ab,abb=ab,baaa=bb,bbba=bbb,bbbb=bbb [09m33s] # 16409 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:1,work:447,nodes:14,pairs:8,completionMax:36us [09m33s] 16409 ab:aba=ab,baab=aa infinite a/b - - ab:aaa=aa,ab=baa,bbaa=aa [09m33s] from: 16409 ab:aba=ab,baab=aa infinite to: 5383 ab:aab=ab,bab=aa infinite a=a,b=b [09m33s] # 16410 solved: rounds:4,rules:4,peak:5,longest:5,steps:5,word:0,work:447,nodes:18,pairs:13,completionMax:43us [09m33s] 16410 ab:aba=ab,baab=ab infinite ab - - ab:aab=ab,aba=ab,abb=ab,bab=ab [09m33s] from: 16410 ab:aba=ab,baab=ab infinite to: 16186 ab:aab=ab,baba=ab infinite a=a,b=b [09m33s] # 16411 solved: rounds:1,rules:4,peak:5,longest:4,steps:3,word:0,work:215,nodes:12,pairs:4,completionMax:18us [09m33s] 16411 ab:aba=ab,baab=ba infinite ab - - ab:aba=ab,abb=ab,baa=ba,bab=ba [09m33s] from: 16411 ab:aba=ab,baab=ba infinite to: 5420 ab:aba=ab,bab=ba infinite a=a,b=b [09m33s] # 16412 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:41,nodes:14,pairs:2,completionMax:7us [09m33s] 16412 ab:aba=ab,baab=bb infinite ab - - ab:aba=ab,bba=bb,baab=bb [09m33s] # 16413 solved: rounds:2,rules:3,peak:7,longest:4,steps:4,word:1,work:454,nodes:16,pairs:9,completionMax:49us [09m33s] 16413 ab:aba=ab,baba=aa infinite a/b - - ab:aaa=aa,ab=baa,bbaa=aa [09m33s] from: 16413 ab:aba=ab,baba=aa infinite to: 5383 ab:aab=ab,bab=aa infinite a=a,b=b [09m33s] # 16414 solved: rounds:2,rules:5,peak:5,longest:4,steps:4,word:0,work:297,nodes:16,pairs:11,completionMax:20us [09m33s] 16414 ab:aba=ab,baba=ab infinite ab - - ab:aba=ab,abb=aab,bab=ab,aaab=aab,baab=aab [09m33s] from: 16414 ab:aba=ab,baba=ab infinite to: 5419 ab:aba=ab,bab=ab infinite a=a,b=b [09m33s] # 16415 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:118,nodes:10,pairs:4,completionMax:11us [09m33s] 16415 ab:aba=ab,baba=ba infinite ab - - ab:aba=ab,abb=ab,baa=ba,bab=ba [09m33s] from: 16415 ab:aba=ab,baba=ba infinite to: 5420 ab:aba=ab,bab=ba infinite a=a,b=b [09m33s] # 16416 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:35,nodes:12,pairs:2,completionMax:7us [09m33s] 16416 ab:aba=ab,baba=bb infinite ab - - ab:aba=ab,bab=bb,bba=bb [09m33s] # 16417 solved: rounds:3,rules:3,peak:8,longest:5,steps:11,word:2,work:961,nodes:20,pairs:19,completionMax:69us [09m33s] 16417 ab:aba=ab,babb=aa infinite a/b - - ab:aaa=aa,ab=baa,bbbaa=aa [09m33s] from: 16417 ab:aba=ab,babb=aa infinite to: 16261 ab:aab=ba,bbab=aa infinite anti:a=a,b=b [09m33s] # 16418 solved: rounds:3,rules:4,peak:6,longest:4,steps:4,word:0,work:333,nodes:16,pairs:5,completionMax:26us [09m33s] 16418 ab:aba=ab,babb=ab infinite ba - - ab:abb=bab,aba=ab,aab=ab,bbab=ab [09m33s] # 16419 solved: rounds:2,rules:5,peak:6,longest:5,steps:4,word:0,work:326,nodes:18,pairs:8,completionMax:30us [09m33s] 16419 ab:aba=ab,babb=ba infinite ab - - ab:aba=ab,baa=ba,abba=abb,abbb=ab,babb=ba [09m33s] # 16420 solved: rounds:2,rules:4,peak:6,longest:4,steps:3,word:0,work:342,nodes:16,pairs:4,completionMax:17us [09m33s] 16420 ab:aba=ab,babb=bb infinite ab - - ab:aba=ab,bba=bb,bbb=bb,babb=bb [09m33s] # 16421 solved: rounds:4,rules:6,peak:7,longest:6,steps:5,word:0,work:1157,nodes:22,pairs:13,completionMax:48us [09m33s] 16421 ab:aba=ab,bbaa=aa infinite ab - - ab:aab=ab,aba=ab,abb=aaa,aaaa=aaa,bbaa=aa,bbab=ab [09m33s] # 16422 solved: rounds:3,rules:4,peak:4,longest:4,steps:4,word:0,work:334,nodes:16,pairs:11,completionMax:17us [09m33s] 16422 ab:aba=ab,bbaa=ab infinite ab - - ab:aba=ab,abb=aab,aaab=aab,bbaa=ab [09m33s] # 16423 solved: rounds:2,rules:3,peak:4,longest:4,steps:4,word:0,work:154,nodes:14,pairs:5,completionMax:14us [09m33s] 16423 ab:aba=ab,bbaa=ba infinite ab - - ab:aba=ab,abb=ab,bbaa=ba [09m33s] # 16424 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:70,nodes:16,pairs:2,completionMax:12us [09m33s] 16424 ab:aba=ab,bbaa=bb infinite ab - - ab:aba=ab,abba=abb,bbaa=bb,bbba=bbb [09m33s] # 16425 solved: rounds:3,rules:4,peak:6,longest:8,steps:10,word:5,work:691,nodes:22,pairs:11,completionMax:61us [09m33s] 16425 ab:aba=ab,bbab=aa infinite reversed:b/a - - ab:bbbbbbab=ab,abb=bbbbab,aa=bbab,aba=ab [09m33s] from: 16425 ab:aba=ab,bbab=aa infinite to: 16197 ab:aab=ab,bbab=aa infinite a=a,b=b [09m33s] # 16426 solved: rounds:3,rules:6,peak:8,longest:6,steps:6,word:2,work:1140,nodes:22,pairs:12,completionMax:87us [09m33s] 16426 ab:aba=ab,bbab=ab infinite b/a - - ab:abbbb=abb,bbab=ab,aab=abbb,aba=ab,abba=abb,abbba=abbb [09m33s] # 16427 solved: rounds:2,rules:5,peak:7,longest:4,steps:3,word:0,work:427,nodes:18,pairs:10,completionMax:42us [09m33s] 16427 ab:aba=ab,bbab=ba infinite ab - - ab:aba=ab,baa=ba,bba=bab,abbb=ab,babb=ba [09m33s] # 16428 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:79,nodes:12,pairs:4,completionMax:9us [09m33s] 16428 ab:aba=ab,bbab=bb infinite ab - - ab:aba=ab,bba=bb,bbb=bb [09m33s] # 16429 solved: rounds:4,rules:6,peak:7,longest:4,steps:3,word:0,work:503,nodes:18,pairs:8,completionMax:29us [09m33s] 16429 ab:aba=ab,bbba=aa infinite ab - - ab:aab=ab,aba=ab,aaaa=aaa,abba=abb,abbb=aaa,bbba=aa [09m33s] # 16430 solved: rounds:1,rules:3,peak:3,longest:13,steps:17,word:8,work:396,nodes:34,pairs:2,completionMax:15us [09m33s] 16430 ab:aba=ab,bbba=ab infinite reversed:b/a - - ab:bbbbbbbbbbbba=bbbbbba,ab=bbba,bbbaa=bbba [09m33s] # 16431 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:125,nodes:14,pairs:4,completionMax:11us [09m33s] 16431 ab:aba=ab,bbba=ba infinite ab - - ab:aba=ab,abba=abb,abbb=ab,bbba=ba [09m33s] # 16432 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:177,nodes:14,pairs:6,completionMax:16us [09m33s] 16432 ab:aba=ab,bbba=bb infinite ab - - ab:aba=ab,bba=bb,bbb=bb [09m33s] from: 16432 ab:aba=ab,bbba=bb infinite to: 16428 ab:aba=ab,bbab=bb infinite a=a,b=b [09m33s] # 16433 solved: rounds:3,rules:4,peak:10,longest:9,steps:4,word:6,work:2483,nodes:36,pairs:18,completionMax:113us [09m33s] 16433 ab:aba=ab,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,bbba,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbbbb,ab=bbbbb,bbbba=bbbbbbbb,aa=bbbb [09m33s] from: 16433 ab:aba=ab,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,bbba,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 16205 ab:aab=ab,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,bbba,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=a,b=b [09m33s] # 16434 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:4,work:261,nodes:18,pairs:3,completionMax:20us [09m33s] 16434 ab:aba=ab,bbbb=ab infinite b/a - - ab:bbbbbbbb=bbbbb,ab=bbbb,bbbba=bbbb [09m33s] # 16435 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:250,nodes:24,pairs:3,completionMax:15us [09m33s] 16435 ab:aba=ab,bbbb=ba infinite b/a - - ab:bbbbbbbb=bbbbb,abbbb=ab,ba=bbbb [09m33s] # 16436 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:153,nodes:16,pairs:3,completionMax:17us [09m33s] 16436 ab:aba=ab,bbbb=bb infinite ab - - ab:aba=ab,abba=abb,bbbb=bb,abbba=abbb [09m33s] # 16437 solved: rounds:4,rules:8,peak:9,longest:12,steps:25,word:1,work:11024,nodes:64,pairs:9,completionMax:246us [09m33s] 16437 ab:aba=bb,aaaa=aa infinite a/b - - ab:aaaa=aa,bb=aba,abab=baba,babaab=aabaaba,babaaab=aaabaaba,abaabaab=baabaaba,abaabaaab=baaabaaba,aaabaaabaaba=abaaabaaba [09m33s] # 16438 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:4,work:803,nodes:24,pairs:2,completionMax:23us [09m33s] 16438 ab:aba=bb,aaaa=ab finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,baaaaa=aaaaaa,ab=aaaa,bb=aaaaa [09m33s] from: 16438 ab:aba=bb,aaaa=ab finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa to: 16274 ab:aab=bb,aaaa=ab finite:12;idempotents:1,aaaaaa;center:1,aaaaa,baaaa,aaaaaa a=a,b=b [09m33s] # 16439 solved: rounds:2,rules:4,peak:4,longest:7,steps:3,word:2,work:219,nodes:22,pairs:2,completionMax:25us [09m33s] 16439 ab:aba=bb,aaaa=bb infinite a/b - - ab:baaaaa=aaaaaaa,aba=aaaa,aaaab=baaaa,bb=aaaa [09m33s] # 16440 solved: rounds:3,rules:5,peak:15,longest:8,steps:7,word:4,work:9425,nodes:54,pairs:32,completionMax:276us [09m33s] 16440 ab:aba=bb,aaab=aa finite:11;idempotents:1,bbbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bbbb,aba=bb [09m33s] from: 16440 ab:aba=bb,aaab=aa finite:11;idempotents:1,bbbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb to: 5410 ab:aab=bb,bab=aa finite:11;idempotents:1,aaaaaa;center:1,aa,aaa,aba,aaaa,aaaaa,aaaaaa a=b,b=a [09m33s] # 16441 solved: rounds:3,rules:8,peak:8,longest:7,steps:6,word:0,work:1198,nodes:36,pairs:9,completionMax:74us [09m33s] 16441 ab:aba=bb,aaab=ab infinite ab - - ab:aba=bb,aaab=ab,aabb=bb,bbba=abbb,bbaab=bbb,bbabb=abbb,abbbbb=babbb,bbbbbbb=bbbb [09m33s] # 16442 solved: rounds:2,rules:3,peak:4,longest:14,steps:23,word:13,work:1551,nodes:30,pairs:3,completionMax:40us [09m33s] 16442 ab:aba=bb,aaab=ba infinite reversed:a/b - - ab:aaaaaaaaab=aaaaaaab,ba=aaab,bb=aaaab [09m33s] # 16443 solved: rounds:2,rules:7,peak:8,longest:11,steps:18,word:5,work:4700,nodes:26,pairs:8,completionMax:73us [09m33s] 16443 ab:aba=bb,aaab=bb infinite reversed:a/b - - ab:aaaaaaaab=aaaaaaab,aba=aaab,bb=aaab,baaab=aaaaaab,baaaaab=aaaaaaab,baaaaaab=aaaaaaab,baaaaaaab=aaaaaaab [09m33s] # 16444 solved: rounds:2,rules:5,peak:5,longest:7,steps:3,word:4,work:379,nodes:18,pairs:13,completionMax:49us [09m33s] 16444 ab:aba=bb,aaba=aa finite:11;idempotents:1,bbbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bbbb,aba=bb [09m33s] from: 16444 ab:aba=bb,aaba=aa finite:11;idempotents:1,bbbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb to: 5410 ab:aab=bb,bab=aa finite:11;idempotents:1,aaaaaa;center:1,aa,aaa,aba,aaaa,aaaaa,aaaaaa a=b,b=a [09m33s] # 16445 solved: rounds:4,rules:3,peak:4,longest:5,steps:12,word:4,work:654,nodes:16,pairs:5,completionMax:31us [09m33s] 16445 ab:aba=bb,aaba=ab infinite reversed:b/a - - ab:bbb=bb,ab=bba,bbaa=bb [09m33s] from: 16445 ab:aba=bb,aaba=ab infinite to: 5383 ab:aab=ab,bab=aa infinite anti:a=b,b=a [09m33s] # 16446 solved: rounds:1,rules:3,peak:3,longest:6,steps:8,word:3,work:180,nodes:18,pairs:3,completionMax:13us [09m33s] 16446 ab:aba=bb,aaba=ba infinite b/a - - ab:bbbbbb=bbb,ba=abb,aabb=bb [09m33s] from: 16446 ab:aba=bb,aaba=ba infinite to: 5398 ab:aab=ba,bab=aa infinite anti:a=b,b=a [09m33s] # 16447 solved: rounds:1,rules:3,peak:3,longest:4,steps:8,word:1,work:195,nodes:10,pairs:1,completionMax:7us [09m33s] 16447 ab:aba=bb,aaba=bb infinite reversed:a/b - - ab:aaba=aba,bb=aba,baba=abab [09m33s] from: 16447 ab:aba=bb,aaba=bb infinite to: 5365 ab:aab=aa,bab=aa infinite anti:a=b,b=a [09m33s] # 16448 solved: rounds:3,rules:5,peak:6,longest:6,steps:3,word:1,work:515,nodes:24,pairs:10,completionMax:54us [09m33s] 16448 ab:aba=bb,aabb=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa a/b - - ab:aaaaaa=aa,baa=aaaa,aab=aaaa,bb=aba,abab=baba [09m33s] # 16449 solved: rounds:4,rules:3,peak:8,longest:7,steps:4,word:2,work:1132,nodes:26,pairs:10,completionMax:84us [09m33s] 16449 ab:aba=bb,aabb=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bba=bbbb [09m33s] from: 16449 ab:aba=bb,aabb=ab infinite to: 16314 ab:aab=bb,baba=ab infinite a=a,b=b [09m33s] # 16450 solved: rounds:3,rules:8,peak:8,longest:9,steps:5,word:4,work:1408,nodes:52,pairs:16,completionMax:72us [09m33s] 16450 ab:aba=bb,aabb=ba infinite reversed:b/a - - ab:bbbbbbbbb=bbb,bbbbbbbba=bba,bbbbbbbab=bab,abbb=bbba,baa=bbbbbab,aba=bb,abba=bbabb,aabb=ba [09m33s] # 16451 solved: rounds:2,rules:6,peak:6,longest:7,steps:6,word:0,work:877,nodes:32,pairs:7,completionMax:60us [09m33s] 16451 ab:aba=bb,aabb=bb infinite ab - - ab:aba=bb,aabb=bb,bbba=abbb,bbabb=abbb,abbbbb=babbb,bbbbbbb=bbbb [09m33s] # 16452 solved: rounds:2,rules:6,peak:7,longest:10,steps:9,word:4,work:1402,nodes:42,pairs:7,completionMax:77us [09m33s] 16452 ab:aba=bb,abab=aa finite:20;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,abbbbbbbb=abb,babb=abbbbbbb,bba=abbbb,aa=bbb,aba=bb [09m33s] from: 16452 ab:aba=bb,abab=aa finite:20;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb to: 5349 ab:aaa=bb,bab=aa finite:20;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a=b,b=a [09m33s] # 16453 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:280,nodes:14,pairs:6,completionMax:32us [09m33s] 16453 ab:aba=bb,abab=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bba=bbbb [09m33s] from: 16453 ab:aba=bb,abab=ab infinite to: 16314 ab:aab=bb,baba=ab infinite a=a,b=b [09m33s] # 16454 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:289,nodes:18,pairs:4,completionMax:27us [09m33s] 16454 ab:aba=bb,abab=ba infinite b/a - - ab:bbbbb=bb,abb=bbbb,ba=bbb [09m33s] from: 16454 ab:aba=bb,abab=ba infinite to: 5327 ab:aaa=ab,bab=aa infinite a=b,b=a [09m33s] # 16455 solved: rounds:2,rules:5,peak:5,longest:4,steps:4,word:0,work:298,nodes:18,pairs:3,completionMax:15us [09m33s] 16455 ab:aba=bb,abab=bb infinite ab - - ab:aba=bb,bba=abb,bbb=bb,aabb=bb,babb=abb [09m33s] # 16456 solved: rounds:4,rules:5,peak:13,longest:8,steps:9,word:2,work:3249,nodes:50,pairs:32,completionMax:207us [09m33s] 16456 ab:aba=bb,abba=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa a/b - - ab:aaaaaa=aa,baa=aaaa,aab=aaaa,bb=aba,abab=baba [09m33s] from: 16456 ab:aba=bb,abba=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa to: 16448 ab:aba=bb,aabb=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa a=a,b=b [09m33s] # 16457 solved: rounds:3,rules:3,peak:11,longest:5,steps:3,word:1,work:1136,nodes:30,pairs:22,completionMax:140us [09m33s] 16457 ab:aba=bb,abba=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bba=bbbb [09m33s] from: 16457 ab:aba=bb,abba=ab infinite to: 16314 ab:aab=bb,baba=ab infinite a=a,b=b [09m33s] # 16458 solved: rounds:2,rules:7,peak:7,longest:6,steps:5,word:0,work:1507,nodes:20,pairs:14,completionMax:58us [09m33s] 16458 ab:aba=bb,abba=bb infinite ba - - ab:aba=bb,abbb=bbba,abba=bb,bbbba=bbba,bbbab=bbba,bbbaa=bbbbb,bbbbbb=bbbbb [09m33s] # 16459 solved: rounds:2,rules:5,peak:5,longest:10,steps:3,word:7,work:410,nodes:22,pairs:13,completionMax:38us [09m33s] 16459 ab:aba=bb,abbb=aa finite:13;idempotents:1,bbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbbb,abb=bbbbb,bba=bbbbb,aa=bbbbbb,aba=bb [09m33s] # 16460 solved: rounds:4,rules:3,peak:4,longest:5,steps:9,word:4,work:601,nodes:18,pairs:5,completionMax:38us [09m33s] 16460 ab:aba=bb,abbb=ab infinite reversed:b/a - - ab:bbbb=bb,ab=bbba,bbaa=bbb [09m33s] from: 16460 ab:aba=bb,abbb=ab infinite to: 16330 ab:aab=bb,bbba=ab infinite a=a,b=b [09m33s] # 16461 solved: rounds:3,rules:3,peak:6,longest:11,steps:15,word:6,work:1898,nodes:46,pairs:17,completionMax:100us [09m33s] 16461 ab:aba=bb,abbb=ba infinite b/a - - ab:bbbb=bb,ba=abbb,aabb=bbb [09m33s] from: 16461 ab:aba=bb,abbb=ba infinite to: 16330 ab:aab=bb,bbba=ab infinite anti:a=a,b=b [09m33s] # 16462 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:1,work:290,nodes:16,pairs:5,completionMax:48us [09m33s] 16462 ab:aba=bb,abbb=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,bba=bbbb,aba=bb [09m33s] # 16463 solved: rounds:3,rules:5,peak:10,longest:9,steps:5,word:6,work:2092,nodes:36,pairs:33,completionMax:141us [09m33s] 16463 ab:aba=bb,baab=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa a/b - - ab:aaaaaa=aa,baa=aaaa,aab=aaaa,bb=aba,abab=baba [09m33s] from: 16463 ab:aba=bb,baab=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa to: 16448 ab:aba=bb,aabb=aa finite:12;idempotents:1,aaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa a=a,b=b [09m33s] # 16464 solved: rounds:4,rules:3,peak:7,longest:6,steps:3,word:2,work:773,nodes:22,pairs:20,completionMax:77us [09m33s] 16464 ab:aba=bb,baab=ab infinite b/a - - ab:bbbbb=bb,ab=bbb,bba=bbbb [09m33s] from: 16464 ab:aba=bb,baab=ab infinite to: 16314 ab:aab=bb,baba=ab infinite a=a,b=b [09m33s] # 16465 solved: rounds:3,rules:7,peak:7,longest:6,steps:8,word:3,work:1580,nodes:32,pairs:10,completionMax:80us [09m33s] 16465 ab:aba=bb,baab=bb infinite b/a - - ab:bbbbbb=bbb,abbbbb=abb,babb=abbbb,bba=abbbb,aabb=bbbbb,aba=bb,baab=bb [09m33s] # 16466 solved: rounds:3,rules:5,peak:11,longest:9,steps:5,word:4,work:3445,nodes:44,pairs:30,completionMax:191us [09m33s] 16466 ab:aba=bb,babb=aa finite:13;idempotents:1,bbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbbb,abb=bbbbb,bba=bbbbb,aa=bbbbbb,aba=bb [09m33s] from: 16466 ab:aba=bb,babb=aa finite:13;idempotents:1,bbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 16459 ab:aba=bb,abbb=aa finite:13;idempotents:1,bbbbb;center:1,bb,bab,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=a,b=b [09m33s] # 16467 solved: rounds:5,rules:3,peak:6,longest:9,steps:13,word:8,work:1367,nodes:30,pairs:16,completionMax:85us [09m33s] 16467 ab:aba=bb,babb=ab infinite reversed:b/a - - ab:bbbbbbbb=bb,ab=bbbbba,bbaa=bbbbb [09m33s] # 16468 solved: rounds:3,rules:3,peak:9,longest:5,steps:9,word:4,work:1380,nodes:20,pairs:33,completionMax:101us [09m33s] 16468 ab:aba=bb,babb=ba infinite b/a - - ab:bbbb=bb,ba=abbb,aabb=bbb [09m33s] from: 16468 ab:aba=bb,babb=ba infinite to: 16330 ab:aab=bb,bbba=ab infinite anti:a=a,b=b [09m33s] # 16469 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:238,nodes:16,pairs:7,completionMax:31us [09m33s] 16469 ab:aba=bb,babb=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,bba=bbbb,aba=bb [09m33s] from: 16469 ab:aba=bb,babb=bb infinite to: 16462 ab:aba=bb,abbb=bb infinite a=a,b=b [09m33s] # 16470 solved: rounds:4,rules:5,peak:8,longest:9,steps:11,word:3,work:3461,nodes:38,pairs:20,completionMax:168us [09m33s] 16470 ab:aba=bb,bbbb=aa finite:14;idempotents:1,aaaaaa;center:1,aa,aaa,aba,bab,aaaa,baba,aaaaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aa,baa=aaaa,aab=aaaa,bb=aba,abab=baba [09m33s] # 16471 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:2,work:383,nodes:18,pairs:4,completionMax:49us [09m33s] 16471 ab:aba=bb,bbbb=ab infinite b/a - - ab:bbbbbbb=bb,ab=bbbb,bba=bbbbb [09m33s] # 16472 solved: rounds:2,rules:5,peak:7,longest:5,steps:5,word:0,work:877,nodes:22,pairs:5,completionMax:40us [09m33s] 16472 ab:aba=bb,bbbb=bb infinite ab - - ab:aba=bb,bba=abb,aabb=bbb,babb=abbb,bbbb=bb [09m33s] # 16473 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:6,pairs:0,completionMax:2us [09m33s] 16473 ab:aaa=aa,aab=aaa infinite ab - - ab:aaa=aa,aab=aa [09m33s] from: 16473 ab:aaa=aa,aab=aaa infinite to: 5294 ab:aaa=aa,aab=aa infinite a=a,b=b [09m33s] # 16474 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:59,nodes:8,pairs:0,completionMax:3us [09m33s] 16474 ab:aaa=aa,aba=aaa infinite ab - - ab:aaa=aa,aba=aa [09m33s] from: 16474 ab:aaa=aa,aba=aaa infinite to: 5298 ab:aaa=aa,aba=aa infinite a=a,b=b [09m33s] # 16475 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:8,pairs:0,completionMax:2us [09m33s] 16475 ab:aaa=aa,abb=aaa infinite ab - - ab:aaa=aa,abb=aa [09m33s] from: 16475 ab:aaa=aa,abb=aaa infinite to: 5301 ab:aaa=aa,abb=aa infinite a=a,b=b [09m33s] # 16476 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:267,nodes:12,pairs:3,completionMax:20us [09m33s] 16476 ab:aaa=aa,bab=aaa infinite ab - - ab:aaa=aa,baa=aab,bab=aa,aaba=aab,aabb=aa [09m33s] from: 16476 ab:aaa=aa,bab=aaa infinite to: 5305 ab:aaa=aa,bab=aa infinite a=a,b=b [09m33s] # 16477 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:2,work:216,nodes:18,pairs:5,completionMax:29us [09m33s] 16477 ab:aaa=aa,bbb=aaa infinite b/a - - ab:bbbbbb=bbb,abbb=bbb,bbba=bbb,aa=bbb [09m33s] from: 16477 ab:aaa=aa,bbb=aaa infinite to: 5308 ab:aaa=aa,bbb=aa infinite a=a,b=b [09m33s] # 16478 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:75,nodes:8,pairs:0,completionMax:4us [09m33s] 16478 ab:aaa=ab,aab=aaa infinite a/b - - ab:aaaa=aaa,ab=aaa [09m33s] from: 16478 ab:aaa=ab,aab=aaa infinite to: 5312 ab:aaa=ab,aab=ab infinite a=a,b=b [09m33s] # 16479 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:1,work:74,nodes:8,pairs:0,completionMax:3us [09m33s] 16479 ab:aaa=ab,aba=aaa infinite a/b - - ab:aaaa=aaa,ab=aaa [09m33s] from: 16479 ab:aaa=ab,aba=aaa infinite to: 5312 ab:aaa=ab,aab=ab infinite a=a,b=b [09m33s] # 16480 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:2,work:65,nodes:10,pairs:0,completionMax:3us [09m33s] 16480 ab:aaa=ab,abb=aaa infinite a/b - - ab:aaaaa=aaa,ab=aaa [09m33s] from: 16480 ab:aaa=ab,abb=aaa infinite to: 5320 ab:aaa=ab,abb=ab infinite a=a,b=b [09m33s] # 16481 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:190,nodes:14,pairs:1,completionMax:8us [09m33s] 16481 ab:aaa=ab,baa=aaa infinite a/b - - ab:aaaaa=aaaa,baa=aaa,ab=aaa [09m33s] from: 16481 ab:aaa=ab,baa=aaa infinite to: 5324 ab:aaa=ab,baa=ab infinite a=a,b=b [09m33s] # 16482 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:148,nodes:18,pairs:1,completionMax:11us [09m33s] 16482 ab:aaa=ab,bab=aaa infinite a/b - - ab:aaaaaa=aaaa,baaa=aaa,ab=aaa [09m33s] from: 16482 ab:aaa=ab,bab=aaa infinite to: 5328 ab:aaa=ab,bab=ab infinite a=a,b=b [09m33s] # 16483 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:132,nodes:16,pairs:1,completionMax:15us [09m33s] 16483 ab:aaa=ab,bba=aaa infinite a/b - - ab:aaaaaa=aaaa,ab=aaa,bba=aaa [09m33s] from: 16483 ab:aaa=ab,bba=aaa infinite to: 5332 ab:aaa=ab,bba=ab infinite a=a,b=b [09m33s] # 16484 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:2,work:231,nodes:22,pairs:3,completionMax:20us [09m33s] 16484 ab:aaa=ab,bbb=aaa finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaa,bbaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaa,baaa=aaaaa,ab=aaa,bbb=aaa [09m33s] from: 16484 ab:aaa=ab,bbb=aaa finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaa,bbaa,aaaaa,aaaaaa to: 5336 ab:aaa=ab,bbb=ab finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaa,bbaa,aaaaa,aaaaaa a=a,b=b [09m33s] # 16485 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:342,nodes:16,pairs:2,completionMax:14us [09m33s] 16485 ab:aaa=bb,aab=aaa infinite a/b - - ab:aaaaa=aaaa,baaa=aaaa,aab=aaa,bb=aaa [09m33s] from: 16485 ab:aaa=bb,aab=aaa infinite to: 5341 ab:aaa=bb,aab=bb infinite a=a,b=b [09m33s] # 16486 solved: rounds:2,rules:5,peak:5,longest:7,steps:7,word:1,work:1092,nodes:24,pairs:3,completionMax:33us [09m33s] 16486 ab:aaa=bb,aba=aaa finite:15;idempotents:1,aaaaaa;center:1,aaa,bab,aaaa,baaa,baab,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaaa,baaaa=aaaaa,aba=aaa,aaab=baaa,bb=aaa [09m33s] from: 16486 ab:aaa=bb,aba=aaa finite:15;idempotents:1,aaaaaa;center:1,aaa,bab,aaaa,baaa,baab,aaaaa,aaaaaa to: 5344 ab:aaa=bb,aba=bb finite:15;idempotents:1,aaaaaa;center:1,aaa,bab,aaaa,baaa,baab,aaaaa,aaaaaa a=a,b=b [09m33s] # 16487 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:102,nodes:14,pairs:3,completionMax:16us [09m33s] 16487 ab:aaa=bb,abb=aaa infinite ab - - ab:aaa=bb,abb=bb,bba=bb,bbbb=bb [09m33s] from: 16487 ab:aaa=bb,abb=aaa infinite to: 5348 ab:aaa=bb,abb=bb infinite a=a,b=b [09m33s] # 16488 solved: rounds:3,rules:6,peak:6,longest:5,steps:3,word:0,work:367,nodes:24,pairs:6,completionMax:26us [09m33s] 16488 ab:aaa=bb,bab=aaa infinite ab - - ab:aaa=bb,bab=bb,bba=abb,abbb=bbb,baabb=bbb,bbbbb=bbb [09m33s] from: 16488 ab:aaa=bb,bab=aaa infinite to: 5351 ab:aaa=bb,bab=bb infinite a=a,b=b [09m33s] # 16489 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:1,work:158,nodes:18,pairs:2,completionMax:16us [09m33s] 16489 ab:aaa=bb,bbb=aaa infinite a/b - - ab:aaaaaa=aaa,baaa=aaa,aaab=aaa,bb=aaa [09m33s] from: 16489 ab:aaa=bb,bbb=aaa infinite to: 5308 ab:aaa=aa,bbb=aa infinite a=b,b=a [09m33s] # 16490 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:2us [09m33s] 16490 ab:aab=aa,aba=aab infinite ab - - ab:aab=aa,aba=aa [09m33s] from: 16490 ab:aab=aa,aba=aab infinite to: 5353 ab:aab=aa,aba=aa infinite a=a,b=b [09m33s] # 16491 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:48,nodes:10,pairs:1,completionMax:6us [09m33s] 16491 ab:aab=aa,abb=aaa infinite ab - - ab:aab=aa,abb=aaa,aaaa=aa [09m33s] # 16492 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:8,pairs:1,completionMax:6us [09m33s] 16492 ab:aab=aa,abb=aab infinite ab - - ab:aaa=aa,aab=aa,abb=aa [09m33s] from: 16492 ab:aab=aa,abb=aab infinite to: 5357 ab:aab=aa,abb=aa infinite a=a,b=b [09m33s] # 16493 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:4us [09m33s] 16493 ab:aab=aa,baa=aab infinite ab - - ab:aab=aa,baa=aa [09m33s] from: 16493 ab:aab=aa,baa=aab infinite to: 5361 ab:aab=aa,baa=aa infinite a=a,b=b [09m33s] # 16494 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:255,nodes:18,pairs:3,completionMax:22us [09m33s] 16494 ab:aab=aa,bab=aaa infinite ab - - ab:aab=aa,bab=aaa,baaa=aaa,aaaaa=aaa [09m33s] # 16495 solved: rounds:1,rules:3,peak:3,longest:4,steps:8,word:1,work:234,nodes:10,pairs:3,completionMax:11us [09m33s] 16495 ab:aab=aa,bab=aab infinite b/a - - ab:babb=bab,aa=bab,baba=abab [09m33s] from: 16495 ab:aab=aa,bab=aab infinite to: 5365 ab:aab=aa,bab=aa infinite a=a,b=b [09m33s] # 16496 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:100,nodes:12,pairs:1,completionMax:7us [09m33s] 16496 ab:aab=aa,bba=aab infinite ab - - ab:aab=aa,bba=aa,aaaa=aaa [09m33s] from: 16496 ab:aab=aa,bba=aab infinite to: 5369 ab:aab=aa,bba=aa infinite a=a,b=b [09m33s] # 16497 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:169,nodes:18,pairs:4,completionMax:23us [09m33s] 16497 ab:aab=aa,bbb=aaa infinite ab - - ab:aab=aa,baa=aa,bbb=aaa,aaaaa=aa [09m33s] # 16498 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:102,nodes:14,pairs:3,completionMax:10us [09m33s] 16498 ab:aab=aa,bbb=aab infinite ab - - ab:aab=aa,baa=aa,bbb=aa,aaaa=aa [09m33s] # 16499 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:53,nodes:12,pairs:5,completionMax:11us [09m33s] 16499 ab:aab=ab,aba=aab infinite acb ab=c frequency:2/1 abc:ac=c,ab=c,ca=c,cb=cc [09m33s] from: 16499 ab:aab=ab,aba=aab infinite to: 5374 ab:aab=ab,aba=ab infinite a=a,b=b,c=c [09m33s] # 16500 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:10,pairs:1,completionMax:9us [09m33s] 16500 ab:aab=ab,abb=aaa infinite ab - - ab:aab=ab,abb=aaa,aaaa=aaa [09m33s] # 16501 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:1us [09m33s] 16501 ab:aab=ab,abb=aab infinite ab - - ab:aab=ab,abb=ab [09m33s] from: 16501 ab:aab=ab,abb=aab infinite to: 5378 ab:aab=ab,abb=ab infinite a=a,b=b [09m33s] # 16502 solved: rounds:1,rules:2,peak:2,longest:5,steps:6,word:2,work:70,nodes:12,pairs:1,completionMax:6us [09m33s] 16502 ab:aab=ab,baa=aab infinite a/b - - ab:baaaa=baa,ab=baa [09m33s] from: 16502 ab:aab=ab,baa=aab infinite to: 5380 ab:aab=ab,baa=ab infinite a=a,b=b [09m33s] # 16503 solved: rounds:3,rules:3,peak:4,longest:6,steps:13,word:4,work:1334,nodes:20,pairs:6,completionMax:72us [09m33s] 16503 ab:aab=ab,bab=aaa infinite a/b - - ab:aaaa=aaa,ab=baaa,bbaaa=aaa [09m33s] # 16504 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:10,pairs:0,completionMax:2us [09m33s] 16504 ab:aab=ab,bab=aab infinite ab - - ab:aab=ab,bab=ab [09m33s] from: 16504 ab:aab=ab,bab=aab infinite to: 5384 ab:aab=ab,bab=ab infinite a=a,b=b [09m33s] # 16505 solved: rounds:3,rules:3,peak:3,longest:6,steps:6,word:3,work:219,nodes:20,pairs:4,completionMax:20us [09m33s] 16505 ab:aab=ab,bba=aab infinite reversed:b/a - - ab:bbbba=bba,ab=bba,bbaa=bba [09m33s] from: 16505 ab:aab=ab,bba=aab infinite to: 5388 ab:aab=ab,bba=ab infinite a=a,b=b [09m33s] # 16506 solved: rounds:1,rules:4,peak:5,longest:7,steps:4,word:4,work:377,nodes:18,pairs:4,completionMax:31us [09m33s] 16506 ab:aab=ab,bbb=aaa finite:13;idempotents:1,bbbbbb;center:1,bbb,bbaa,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbb,ab=bbbb,bbba=bbbbbb,aaa=bbb [09m33s] # 16507 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:64,nodes:12,pairs:1,completionMax:8us [09m33s] 16507 ab:aab=ab,bbb=aab infinite b/a - - ab:bbbbb=bbb,ab=bbb [09m33s] from: 16507 ab:aab=ab,bbb=aab infinite to: 5320 ab:aaa=ab,abb=ab infinite anti:a=b,b=a [09m33s] # 16508 solved: rounds:0,rules:2,peak:2,longest:4,steps:6,word:2,work:70,nodes:10,pairs:0,completionMax:3us [09m33s] 16508 ab:aab=ba,aba=aab infinite reversed:a/b - - ab:aaab=aab,ba=aab [09m33s] from: 16508 ab:aab=ba,aba=aab infinite to: 5392 ab:aab=ba,aba=ba infinite a=a,b=b [09m33s] # 16509 solved: rounds:3,rules:3,peak:6,longest:7,steps:13,word:3,work:2607,nodes:28,pairs:11,completionMax:72us [09m33s] 16509 ab:aab=ba,abb=aaa infinite reversed:a/b - - ab:aaaaa=aaaa,ba=aab,abb=aaa [09m33s] # 16510 solved: rounds:1,rules:3,peak:3,longest:6,steps:12,word:3,work:254,nodes:16,pairs:2,completionMax:11us [09m33s] 16510 ab:aab=ba,abb=aab infinite b/a - - ab:abbbbb=abbbb,ba=abb,aab=abb [09m33s] from: 16510 ab:aab=ba,abb=aab infinite to: 5395 ab:aab=ba,abb=ba infinite a=a,b=b [09m33s] # 16511 solved: rounds:0,rules:2,peak:2,longest:5,steps:6,word:2,work:68,nodes:12,pairs:0,completionMax:4us [09m33s] 16511 ab:aab=ba,baa=aab infinite reversed:a/b - - ab:aaaab=aab,ba=aab [09m33s] from: 16511 ab:aab=ba,baa=aab infinite to: 5380 ab:aab=ab,baa=ab infinite anti:a=a,b=b [09m33s] # 16512 solved: rounds:3,rules:3,peak:6,longest:7,steps:15,word:3,work:2428,nodes:30,pairs:17,completionMax:75us [09m33s] 16512 ab:aab=ba,bab=aaa infinite reversed:a/b - - ab:aaaaa=aaaa,ba=aab,aabb=aaa [09m33s] # 16513 solved: rounds:1,rules:3,peak:3,longest:7,steps:10,word:3,work:178,nodes:20,pairs:1,completionMax:8us [09m33s] 16513 ab:aab=ba,bab=aab infinite reversed:a/b - - ab:aaaaaab=aaaab,ba=aab,aabb=aab [09m33s] from: 16513 ab:aab=ba,bab=aab infinite to: 5400 ab:aab=ba,bab=ba infinite a=a,b=b [09m33s] # 16514 solved: rounds:2,rules:3,peak:3,longest:6,steps:6,word:3,work:216,nodes:20,pairs:3,completionMax:19us [09m33s] 16514 ab:aab=ba,bba=aab infinite reversed:a/b - - ab:aaaab=aab,ba=aab,aabb=aab [09m33s] from: 16514 ab:aab=ba,bba=aab infinite to: 5388 ab:aab=ab,bba=ab infinite a=b,b=a [09m33s] # 16515 solved: rounds:3,rules:4,peak:6,longest:11,steps:23,word:9,work:4670,nodes:36,pairs:31,completionMax:137us [09m33s] 16515 ab:aab=ba,bbb=aaa finite:13;idempotents:1,aaaa;center:1,aaa,aaaa,aaab,aabb,aaabb reversed:a/b - - ab:aaaaa=aaaa,aaaab=aaab,ba=aab,bbb=aaa [09m33s] # 16516 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:142,nodes:16,pairs:1,completionMax:11us [09m33s] 16516 ab:aab=ba,bbb=aab infinite b/a - - ab:bbbbbb=bbbb,ba=bbb,aab=bbb [09m33s] from: 16516 ab:aab=ba,bbb=aab infinite to: 5332 ab:aaa=ab,bba=ab infinite a=b,b=a [09m33s] # 16517 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:101,nodes:16,pairs:3,completionMax:14us [09m33s] 16517 ab:aab=bb,aba=aab infinite ab - - ab:aab=bb,aba=bb,bba=abb,babb=abbb [09m33s] from: 16517 ab:aab=bb,aba=aab infinite to: 5407 ab:aab=bb,aba=bb infinite a=a,b=b [09m33s] # 16518 solved: rounds:3,rules:5,peak:6,longest:5,steps:2,word:1,work:444,nodes:18,pairs:6,completionMax:40us [09m33s] 16518 ab:aab=bb,abb=aaa infinite a/b - - ab:aaaaa=aaa,baaa=aaa,aaab=aaa,bb=aab,baab=aaaa [09m33s] # 16519 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:6us [09m33s] 16519 ab:aab=bb,abb=aab infinite ab - - ab:aab=bb,abb=bb,bbb=bb [09m33s] from: 16519 ab:aab=bb,abb=aab infinite to: 16280 ab:aab=bb,aaab=bb infinite a=a,b=b [09m33s] # 16520 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:50,nodes:8,pairs:0,completionMax:4us [09m33s] 16520 ab:aab=bb,baa=aab infinite a/b - - ab:aab=baa,bb=baa [09m33s] from: 16520 ab:aab=bb,baa=aab infinite to: 5409 ab:aab=bb,baa=bb infinite a=a,b=b [09m33s] # 16521 solved: rounds:2,rules:6,peak:6,longest:8,steps:4,word:3,work:853,nodes:22,pairs:16,completionMax:54us [09m33s] 16521 ab:aab=bb,bab=aaa finite:17;idempotents:1,aaaaaa;center:1,aaaa,aaaaa,aabaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aaaaaa,baaa=aaaaa,aaab=aaaaaaa,bb=aab,bab=aaa,baab=aaaaaa [09m33s] # 16522 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [09m33s] 16522 ab:aab=bb,bab=aab infinite ab - - ab:aab=bb,bab=bb [09m33s] from: 16522 ab:aab=bb,bab=aab infinite to: 5413 ab:aab=bb,bab=bb infinite a=a,b=b [09m33s] # 16523 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:100,nodes:12,pairs:1,completionMax:9us [09m33s] 16523 ab:aab=bb,bba=aab infinite ab - - ab:aab=bb,bba=bb,bbbb=bbb [09m33s] from: 16523 ab:aab=bb,bba=aab infinite to: 16284 ab:aab=bb,aaba=bb infinite a=a,b=b [09m33s] # 16524 solved: rounds:1,rules:5,peak:5,longest:6,steps:4,word:2,work:287,nodes:18,pairs:4,completionMax:20us [09m33s] 16524 ab:aab=bb,bbb=aaa infinite b/a - - ab:bbbbbb=bbb,abb=bbbb,bbba=bbbbb,aab=bb,aaa=bbb [09m33s] # 16525 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:10,pairs:0,completionMax:4us [09m33s] 16525 ab:aab=bb,bbb=aab infinite ab - - ab:aab=bb,bbb=bb [09m33s] from: 16525 ab:aab=bb,bbb=aab infinite to: 16288 ab:aab=bb,aabb=bb infinite a=a,b=b [09m33s] # 16526 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:0,completionMax:3us [09m33s] 16526 ab:aba=aa,abb=aaa infinite ab - - ab:aba=aa,abb=aaa [09m33s] # 16527 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:6,pairs:0,completionMax:3us [09m33s] 16527 ab:aba=aa,abb=aba infinite ab - - ab:aba=aa,abb=aa [09m33s] 16528 ab:aba=aa,baa=aab hard definitely-infinite [09m33s] # 16529 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:3us [09m33s] 16529 ab:aba=aa,baa=aba infinite ab - - ab:aba=aa,baa=aa [09m33s] # 16530 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:1,work:225,nodes:16,pairs:7,completionMax:33us [09m33s] 16530 ab:aba=aa,bab=aaa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,aba=aa,aab=aaaa,bab=aaa [09m33s] # 16531 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:251,nodes:14,pairs:7,completionMax:20us [09m33s] 16531 ab:aba=aa,bab=aba infinite ab - - ab:aab=aaa,aba=aa,baa=aaa,bab=aa,aaaa=aaa [09m33s] from: 16531 ab:aba=aa,bab=aba infinite to: 5415 ab:aba=aa,bab=aa infinite a=a,b=b [09m33s] # 16532 solved: rounds:3,rules:6,peak:6,longest:7,steps:3,word:0,work:616,nodes:28,pairs:6,completionMax:38us [09m33s] 16532 ab:aba=aa,bbb=aaa infinite ab - - ab:aba=aa,bbb=aaa,baaa=aaab,aaaab=aaaa,aaabba=aaaa,aaaaaaa=aaaa [09m33s] # 16533 solved: rounds:3,rules:6,peak:6,longest:5,steps:3,word:0,work:383,nodes:22,pairs:6,completionMax:31us [09m33s] 16533 ab:aba=aa,bbb=aba infinite ab - - ab:aba=aa,baa=aab,bbb=aa,aaab=aaa,aaaaa=aaa,aabba=aaa [09m33s] # 16534 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:244,nodes:10,pairs:3,completionMax:16us [09m33s] 16534 ab:aba=ab,abb=aaa infinite ab - - ab:aab=ab,aba=ab,abb=aaa,aaaa=aaa [09m33s] # 16535 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:0,completionMax:2us [09m33s] 16535 ab:aba=ab,abb=aba infinite ab - - ab:aba=ab,abb=ab [09m33s] from: 16535 ab:aba=ab,abb=aba infinite to: 16394 ab:aba=ab,abab=ab infinite a=a,b=b [09m33s] # 16536 solved: rounds:3,rules:7,peak:7,longest:3,steps:2,word:1,work:118,nodes:18,pairs:9,completionMax:27us [09m33s] 16536 ab:aba=ab,baa=aab infinite ac/b ab=c frequency:2/2 abc:ca=c,aac=c,bc=acc,baa=ac,bac=acc,ab=c,cb=cc [09m33s] # 16537 solved: rounds:1,rules:2,peak:2,longest:4,steps:6,word:4,work:179,nodes:10,pairs:3,completionMax:10us [09m33s] 16537 ab:aba=ab,baa=aba infinite a/b - - ab:baaa=baa,ab=baa [09m33s] from: 16537 ab:aba=ab,baa=aba infinite to: 5392 ab:aab=ba,aba=ba infinite anti:a=a,b=b [09m33s] # 16538 solved: rounds:2,rules:3,peak:7,longest:5,steps:8,word:4,work:913,nodes:20,pairs:11,completionMax:52us [09m33s] 16538 ab:aba=ab,bab=aaa infinite a/b - - ab:aaaa=aaa,ab=baaa,bbaaa=aaa [09m33s] from: 16538 ab:aba=ab,bab=aaa infinite to: 16503 ab:aab=ab,bab=aaa infinite a=a,b=b [09m33s] # 16539 solved: rounds:2,rules:5,peak:5,longest:4,steps:4,word:0,work:296,nodes:16,pairs:11,completionMax:27us [09m33s] 16539 ab:aba=ab,bab=aba infinite ab - - ab:aba=ab,abb=aab,bab=ab,aaab=aab,baab=aab [09m33s] from: 16539 ab:aba=ab,bab=aba infinite to: 5419 ab:aba=ab,bab=ab infinite a=a,b=b [09m33s] # 16540 solved: rounds:3,rules:5,peak:6,longest:5,steps:4,word:1,work:512,nodes:16,pairs:7,completionMax:42us [09m33s] 16540 ab:aba=ab,bba=aaa infinite a/b - - ab:aaaaa=aaaa,aba=ab,aab=ab,bba=aaa,abb=aaaa [09m33s] # 16541 solved: rounds:1,rules:3,peak:3,longest:7,steps:10,word:3,work:224,nodes:20,pairs:2,completionMax:17us [09m33s] 16541 ab:aba=ab,bba=aba infinite reversed:b/a - - ab:bbbbbba=bbbba,ab=bba,bbaa=bba [09m33s] from: 16541 ab:aba=ab,bba=aba infinite to: 5400 ab:aab=ba,bab=ba infinite a=b,b=a [09m33s] # 16542 solved: rounds:3,rules:4,peak:9,longest:7,steps:4,word:4,work:1591,nodes:30,pairs:15,completionMax:107us [09m33s] 16542 ab:aba=ab,bbb=aaa finite:13;idempotents:1,bbbbbb;center:1,bbb,bbaa,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbb,ab=bbbb,bbba=bbbbbb,aaa=bbb [09m33s] from: 16542 ab:aba=ab,bbb=aaa finite:13;idempotents:1,bbbbbb;center:1,bbb,bbaa,bbbb,bbbbb,bbbbbb to: 16506 ab:aab=ab,bbb=aaa finite:13;idempotents:1,bbbbbb;center:1,bbb,bbaa,bbbb,bbbbb,bbbbbb a=a,b=b [09m33s] # 16543 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:181,nodes:14,pairs:3,completionMax:16us [09m33s] 16543 ab:aba=ab,bbb=aba infinite b/a - - ab:bbbbbb=bbbb,ab=bbb,bbba=bbb [09m33s] # 16544 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:57,nodes:15,pairs:5,completionMax:10us [09m33s] 16544 ab:aba=ba,baa=aba infinite acb ba=c frequency:2/1 abc:ac=c,ca=c,ba=c,bc=cc [09m33s] # 16545 solved: rounds:3,rules:7,peak:7,longest:6,steps:4,word:1,work:977,nodes:24,pairs:10,completionMax:46us [09m33s] 16545 ab:aba=bb,abb=aaa finite:20;idempotents:1,aaaa;center:1,aaaa,aaab,abab,aaaaa,abaaa reversed:a/b - - ab:aaaaaa=aaaa,aaaab=aaaa,aaba=aaa,baaaa=aaaa,bb=aba,baaab=aaaaa,baba=abab [09m33s] # 16546 solved: rounds:1,rules:3,peak:3,longest:4,steps:8,word:1,work:195,nodes:10,pairs:1,completionMax:7us [09m33s] 16546 ab:aba=bb,abb=aba infinite reversed:a/b - - ab:aaba=aba,bb=aba,baba=abab [09m33s] from: 16546 ab:aba=bb,abb=aba infinite to: 5365 ab:aab=aa,bab=aa infinite anti:a=b,b=a [09m33s] # 16547 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:105,nodes:12,pairs:1,completionMax:13us [09m33s] 16547 ab:aba=bb,baa=aab infinite a/b - - ab:aab=baa,bb=aba,abab=baba [09m33s] # 16548 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:132,nodes:14,pairs:3,completionMax:14us [09m33s] 16548 ab:aba=bb,baa=aba infinite ba - - ab:baa=bb,abb=bba,aba=bb,bbab=bbba [09m33s] # 16549 solved: rounds:4,rules:11,peak:15,longest:18,steps:14,word:6,work:23680,nodes:156,pairs:26,completionMax:799us [09m33s] 16549 ab:aba=bb,bab=aaa finite:75;idempotents:1,aaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=aaaaaaaaa,baaaaaaaaaaaaaa=baaaaaa,aabaaaaaaaaaaa=aabaaa,aaabaaaaaaaaaa=aaabaa,aaaab=baaaa,bb=aba,bab=aaa,baaba=aaab,baaabaaaaaaaa=baaab,abaab=baaa,abaaab=baaabaaaaaaa [09m33s] # 16550 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:251,nodes:14,pairs:7,completionMax:23us [09m33s] 16550 ab:aba=bb,bab=aba infinite ba - - ab:bba=bbb,bab=bb,abb=bbb,aba=bb,bbbb=bbb [09m33s] from: 16550 ab:aba=bb,bab=aba infinite to: 5415 ab:aba=aa,bab=aa infinite a=b,b=a [09m33s] # 16551 solved: rounds:3,rules:9,peak:9,longest:13,steps:5,word:5,work:3856,nodes:82,pairs:24,completionMax:167us [09m33s] 16551 ab:aba=bb,bbb=aaa finite:51;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=aaaaaaa,baaaaaaaaaaa=baaaaa,aabaaaaaaaaa=aabaaa,aaab=baaa,bb=aba,baba=aaa,baabaaa=aabaaaaaaaa,abab=aaa,abaaba=baaa [09m33s] # 16552 solved: rounds:2,rules:5,peak:5,longest:4,steps:4,word:0,work:298,nodes:18,pairs:3,completionMax:31us [09m33s] 16552 ab:aba=bb,bbb=aba infinite ab - - ab:aba=bb,bba=abb,bbb=bb,aabb=bb,babb=abb [09m33s] from: 16552 ab:aba=bb,bbb=aba infinite to: 16455 ab:aba=bb,abab=bb infinite a=a,b=b [09m33s] # 16553 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:356,nodes:14,pairs:2,completionMax:12us [09m33s] 16553 ab:abb=aa,bbb=abb infinite b/a - - ab:bbbbb=bbbb,abb=bbb,bbba=bbbb,aa=bbb [09m33s] # 16554 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:75,nodes:10,pairs:1,completionMax:6us [09m33s] 16554 ab:abb=ab,bbb=abb infinite b/a - - ab:bbbb=bbb,ab=bbb [09m33s] from: 16554 ab:abb=ab,bbb=abb infinite to: 5312 ab:aaa=ab,aab=ab infinite anti:a=b,b=a [09m33s] # 16555 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:208,nodes:14,pairs:1,completionMax:13us [09m33s] 16555 ab:abb=ba,bbb=abb infinite b/a - - ab:bbbbb=bbbb,abb=bbb,ba=bbb [09m33s] from: 16555 ab:abb=ba,bbb=abb infinite to: 5324 ab:aaa=ab,baa=ab infinite a=b,b=a [09m33s] # 16556 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:39,nodes:10,pairs:0,completionMax:4us [09m33s] 16556 ab:abb=bb,bbb=abb infinite ab - - ab:abb=bb,bbb=bb [09m33s] # 16557 solved: rounds:2,rules:5,peak:5,longest:7,steps:7,word:1,work:1103,nodes:24,pairs:3,completionMax:36us [09m33s] 16557 ab:bab=aa,bbb=bab finite:15;idempotents:1,bbbbbb;center:1,aba,bbb,abba,abbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbbb,abbbb=bbbbb,bab=bbb,bbba=abbb,aa=bbb [09m33s] from: 16557 ab:bab=aa,bbb=bab finite:15;idempotents:1,bbbbbb;center:1,aba,bbb,abba,abbb,bbbb,bbbbb,bbbbbb to: 5344 ab:aaa=bb,aba=bb finite:15;idempotents:1,aaaaaa;center:1,aaa,bab,aaaa,baaa,baab,aaaaa,aaaaaa a=b,b=a [09m33s] # 16558 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:2,work:120,nodes:10,pairs:2,completionMax:11us [09m33s] 16558 ab:bab=ab,bbb=bab infinite b/a - - ab:bbbb=bbb,ab=bbb [09m33s] from: 16558 ab:bab=ab,bbb=bab infinite to: 5312 ab:aaa=ab,aab=ab infinite anti:a=b,b=a [09m33s] # 16559 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:59,nodes:8,pairs:0,completionMax:4us [09m33s] 16559 ab:bab=bb,bbb=bab infinite ab - - ab:bab=bb,bbb=bb [09m33s] # 16560 solved: rounds:1,rules:1,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:6,completionMax:10us [09m33s] 16560 ab:aaaa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [09m33s] from: 16560 ab:aaaa=1,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [09m33s] # 16561 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:10,nodes:8,pairs:2,completionMax:7us [09m33s] 16561 ab:aaaa=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 16561 ab:aaaa=1,aaaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 16562 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:63,nodes:12,pairs:7,completionMax:14us [09m33s] 16562 ab:aaaa=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 16562 ab:aaaa=1,aaaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 16563 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:106,nodes:16,pairs:14,completionMax:43us [09m33s] 16563 ab:aaaa=1,aaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16563 ab:aaaa=1,aaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16564 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:9,nodes:12,pairs:2,completionMax:5us [09m33s] 16564 ab:aaaa=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 16564 ab:aaaa=1,aaaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 16565 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:234,nodes:16,pairs:11,completionMax:31us [09m33s] 16565 ab:aaaa=1,aaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16565 ab:aaaa=1,aaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16566 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:102,nodes:16,pairs:13,completionMax:25us [09m33s] 16566 ab:aaaa=1,aaaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16566 ab:aaaa=1,aaaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16567 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:2us [09m33s] 16567 ab:aaaa=1,aaaabbb=1 infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [09m33s] from: 16567 ab:aaaa=1,aaaabbb=1 infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [09m33s] # 16568 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:1,work:169,nodes:20,pairs:23,completionMax:54us [09m33s] 16568 ab:aaaa=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 16568 ab:aaaa=1,aaabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 16569 solved: rounds:6,rules:2,peak:8,longest:8,steps:9,word:5,work:957,nodes:20,pairs:31,completionMax:122us [09m33s] 16569 ab:aaaa=1,aaabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16569 ab:aaaa=1,aaabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16570 solved: rounds:8,rules:2,peak:5,longest:8,steps:6,word:5,work:498,nodes:20,pairs:30,completionMax:81us [09m33s] 16570 ab:aaaa=1,aaababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16570 ab:aaaa=1,aaababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16571 solved: rounds:6,rules:3,peak:14,longest:20,steps:36,word:18,work:18669,nodes:116,pairs:154,completionMax:1030us [09m33s] 16571 ab:aaaa=1,aaababb=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,ab=bbbbbbba,aaaa=1 [09m33s] from: 16571 ab:aaaa=1,aaababb=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb anti:a=b,b=a [09m33s] # 16572 solved: rounds:5,rules:2,peak:7,longest:8,steps:4,word:5,work:621,nodes:22,pairs:43,completionMax:141us [09m33s] 16572 ab:aaaa=1,aaabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16572 ab:aaaa=1,aaabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16573 solved: rounds:6,rules:3,peak:14,longest:17,steps:15,word:18,work:13435,nodes:78,pairs:84,completionMax:690us [09m33s] 16573 ab:aaaa=1,aaabbab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbb,aaaa=1 [09m33s] from: 16573 ab:aaaa=1,aaabbab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=b,b=a [09m33s] # 16574 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:105,nodes:20,pairs:11,completionMax:30us [09m33s] 16574 ab:aaaa=1,aaabbba=1 infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [09m33s] from: 16574 ab:aaaa=1,aaabbba=1 infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [09m33s] # 16575 solved: rounds:2,rules:2,peak:3,longest:16,steps:3,word:9,work:238,nodes:32,pairs:10,completionMax:35us [09m33s] 16575 ab:aaaa=1,aaabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16575 ab:aaaa=1,aaabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16576 solved: rounds:5,rules:2,peak:6,longest:8,steps:6,word:5,work:498,nodes:24,pairs:25,completionMax:87us [09m33s] 16576 ab:aaaa=1,aabaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16576 ab:aaaa=1,aabaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16577 solved: rounds:3,rules:2,peak:8,longest:8,steps:8,word:5,work:1200,nodes:34,pairs:52,completionMax:130us [09m33s] 16577 ab:aaaa=1,aabaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16577 ab:aaaa=1,aabaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16578 solved: rounds:4,rules:3,peak:6,longest:7,steps:4,word:0,work:452,nodes:26,pairs:15,completionMax:52us [09m33s] 16578 ab:aaaa=1,aabaabb=1 infinite;group:a-aaa,b-bb ab - - ab:baa=aab,bbb=1,aaaa=1 [09m33s] # 16579 solved: rounds:7,rules:2,peak:5,longest:8,steps:8,word:5,work:843,nodes:24,pairs:34,completionMax:79us [09m33s] 16579 ab:aaaa=1,aababaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16579 ab:aaaa=1,aababaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16580 solved: rounds:4,rules:3,peak:7,longest:7,steps:5,word:0,work:1025,nodes:26,pairs:44,completionMax:139us [09m33s] 16580 ab:aaaa=1,aababab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb ab - - ab:ba=ab,bbb=1,aaaa=1 [09m33s] from: 16580 ab:aaaa=1,aababab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbb [09m33s] # 16581 solved: rounds:5,rules:3,peak:15,longest:15,steps:26,word:15,work:14434,nodes:84,pairs:78,completionMax:512us [09m33s] 16581 ab:aaaa=1,aababba=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,ab=bbbbbbba,aaaa=1 [09m33s] from: 16581 ab:aaaa=1,aababba=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb anti:a=b,b=a [09m33s] # 16582 solved: rounds:7,rules:17,peak:38,longest:29,steps:11,word:22,work:298457,nodes:286,pairs:1622,completionMax:23608us [09m33s] 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=babbb,aba=bbbbab,abba=bbbbbbbbabbbbbbbbbbbbbb,abbba=bbbabbbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbba=bbabbbbbbbb,abbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbabbbbbb,abbbbbbbbbba=bbbbbbbbbabbbbb,abbbbbbbbbbba=bbbbbabbbbbbbbbb,abbbbbbbbbbbba=bbbbbbbbbbbbbbabb,abbbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbbabbbbbbbbb [09m33s] # 16583 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:0,work:245,nodes:22,pairs:9,completionMax:30us [09m33s] 16583 ab:aaaa=1,aabbaab=1 infinite;group:a-aaa,b-bb ab - - ab:baa=aab,bbb=1,aaaa=1 [09m33s] from: 16583 ab:aaaa=1,aabbaab=1 infinite;group:a-aaa,b-bb to: 16578 ab:aaaa=1,aabaabb=1 infinite;group:a-aaa,b-bb a=a,b=b [09m33s] # 16584 solved: rounds:7,rules:3,peak:7,longest:16,steps:21,word:15,work:4149,nodes:64,pairs:51,completionMax:205us [09m33s] 16584 ab:aaaa=1,aabbaba=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbb,aaaa=1 [09m33s] from: 16584 ab:aaaa=1,aabbaba=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=b,b=a [09m33s] # 16585 solved: rounds:3,rules:2,peak:6,longest:27,steps:11,word:12,work:2623,nodes:84,pairs:31,completionMax:261us [09m33s] 16585 ab:aaaa=1,aabbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16585 ab:aaaa=1,aabbabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16586 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:145,nodes:24,pairs:14,completionMax:34us [09m33s] 16586 ab:aaaa=1,aabbbaa=1 infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [09m33s] from: 16586 ab:aaaa=1,aabbbaa=1 infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [09m33s] # 16587 solved: rounds:7,rules:17,peak:34,longest:29,steps:9,word:22,work:158756,nodes:304,pairs:997,completionMax:15400us [09m33s] 16587 ab:aaaa=1,aabbbab=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=bbbab,aba=babbbb,abba=bbbbbbbbbbbbbbabbbbbbbb,abbba=bbbbabbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbba=bbbbbbbbabb,abbbbbbba=bbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbbbbba=bbbbbbabbbbbbb,abbbbbbbbbba=bbbbbabbbbbbbbb,abbbbbbbbbbba=bbbbbbbbbbabbbbb,abbbbbbbbbbbba=bbabbbbbbbbbbbbbb,abbbbbbbbbbbbba=bbbbbbbbbbbabbbbbb,abbbbbbbbbbbbbba=bbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbabbbbbbbbbb [09m33s] from: 16587 ab:aaaa=1,aabbbab=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 16588 solved: rounds:3,rules:2,peak:5,longest:16,steps:9,word:9,work:1691,nodes:44,pairs:22,completionMax:117us [09m33s] 16588 ab:aaaa=1,aabbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16588 ab:aaaa=1,aabbbba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16589 solved: rounds:2,rules:3,peak:3,longest:7,steps:6,word:0,work:205,nodes:24,pairs:10,completionMax:30us [09m33s] 16589 ab:aaaa=1,aabbbbb=1 infinite;group:a-aaa,b-aabbbb ab - - ab:baa=aab,aaaa=1,bbbbb=aa [09m33s] # 16590 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:108,nodes:16,pairs:14,completionMax:37us [09m33s] 16590 ab:aaaa=1,abaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16590 ab:aaaa=1,abaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16591 solved: rounds:6,rules:2,peak:6,longest:8,steps:6,word:5,work:900,nodes:32,pairs:36,completionMax:100us [09m33s] 16591 ab:aaaa=1,abaaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16591 ab:aaaa=1,abaaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16592 solved: rounds:5,rules:3,peak:14,longest:16,steps:27,word:33,work:11486,nodes:96,pairs:108,completionMax:643us [09m33s] 16592 ab:aaaa=1,abaaabb=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbb,aaaa=1 [09m33s] from: 16592 ab:aaaa=1,abaaabb=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=b,b=a [09m33s] # 16593 solved: rounds:2,rules:3,peak:5,longest:7,steps:8,word:0,work:559,nodes:28,pairs:12,completionMax:58us [09m33s] 16593 ab:aaaa=1,abaabab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb ab - - ab:ba=ab,bbb=1,aaaa=1 [09m33s] from: 16593 ab:aaaa=1,abaabab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbb [09m33s] # 16594 solved: rounds:4,rules:3,peak:7,longest:7,steps:4,word:0,work:556,nodes:30,pairs:29,completionMax:73us [09m33s] 16594 ab:aaaa=1,abaabba=1 infinite;group:a-aaa,b-bb ab - - ab:baa=aab,bbb=1,aaaa=1 [09m33s] from: 16594 ab:aaaa=1,abaabba=1 infinite;group:a-aaa,b-bb to: 16578 ab:aaaa=1,aabaabb=1 infinite;group:a-aaa,b-bb a=a,b=b [09m33s] # 16595 solved: rounds:8,rules:17,peak:34,longest:29,steps:14,word:22,work:283547,nodes:318,pairs:1716,completionMax:27385us [09m33s] 16595 ab:aaaa=1,abaabbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=bbbab,aba=babbbb,abba=bbbbbbbbbbbbbbabbbbbbbb,abbba=bbbbabbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbba=bbbbbbbbabb,abbbbbbba=bbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbbbbba=bbbbbbabbbbbbb,abbbbbbbbbba=bbbbbabbbbbbbbb,abbbbbbbbbbba=bbbbbbbbbbabbbbb,abbbbbbbbbbbba=bbabbbbbbbbbbbbbb,abbbbbbbbbbbbba=bbbbbbbbbbbabbbbbb,abbbbbbbbbbbbbba=bbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbabbbbbbbbbb [09m33s] from: 16595 ab:aaaa=1,abaabbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 16596 solved: rounds:2,rules:3,peak:5,longest:7,steps:9,word:0,work:697,nodes:28,pairs:15,completionMax:47us [09m33s] 16596 ab:aaaa=1,ababaab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb ab - - ab:ba=ab,bbb=1,aaaa=1 [09m33s] from: 16596 ab:aaaa=1,ababaab=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbb [09m33s] # 16597 solved: rounds:2,rules:3,peak:4,longest:7,steps:8,word:0,work:408,nodes:24,pairs:11,completionMax:41us [09m33s] 16597 ab:aaaa=1,abababa=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb ab - - ab:ba=ab,bbb=1,aaaa=1 [09m33s] from: 16597 ab:aaaa=1,abababa=1 finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbb [09m33s] # 16598 solved: rounds:5,rules:2,peak:10,longest:16,steps:19,word:12,work:6736,nodes:44,pairs:65,completionMax:396us [09m33s] 16598 ab:aaaa=1,abababb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16598 ab:aaaa=1,abababb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16599 solved: rounds:3,rules:2,peak:7,longest:20,steps:31,word:12,work:3574,nodes:66,pairs:23,completionMax:211us [09m33s] 16599 ab:aaaa=1,ababbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16599 ab:aaaa=1,ababbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16600 solved: rounds:7,rules:17,peak:38,longest:29,steps:11,word:22,work:298461,nodes:286,pairs:1623,completionMax:20287us [09m33s] 16600 ab:aaaa=1,ababbba=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=babbb,aba=bbbbab,abba=bbbbbbbbabbbbbbbbbbbbbb,abbba=bbbabbbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbba=bbabbbbbbbb,abbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbabbbbbb,abbbbbbbbbba=bbbbbbbbbabbbbb,abbbbbbbbbbba=bbbbbabbbbbbbbbb,abbbbbbbbbbbba=bbbbbbbbbbbbbbabb,abbbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbbabbbbbbbbb [09m33s] from: 16600 ab:aaaa=1,ababbba=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16601 solved: rounds:7,rules:7,peak:21,longest:109,steps:105,word:106,work:709073,nodes:794,pairs:171,completionMax:33736us [09m33s] 16601 ab:aaaa=1,ababbbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babba=aabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaa=abbabbbbbbbbbb,aaa=babbbb,baabba=aabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] # 16602 solved: rounds:5,rules:3,peak:12,longest:16,steps:21,word:12,work:8389,nodes:100,pairs:74,completionMax:444us [09m33s] 16602 ab:aaaa=1,abbaaab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,ab=bbbbbbba,aaaa=1 [09m33s] from: 16602 ab:aaaa=1,abbaaab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb anti:a=b,b=a [09m33s] # 16603 solved: rounds:2,rules:2,peak:6,longest:16,steps:9,word:9,work:1546,nodes:64,pairs:19,completionMax:117us [09m33s] 16603 ab:aaaa=1,abbaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16603 ab:aaaa=1,abbaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16604 solved: rounds:3,rules:2,peak:8,longest:21,steps:33,word:12,work:5792,nodes:66,pairs:23,completionMax:238us [09m33s] 16604 ab:aaaa=1,abbabab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16604 ab:aaaa=1,abbabab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16605 solved: rounds:4,rules:2,peak:4,longest:16,steps:11,word:6,work:1068,nodes:32,pairs:19,completionMax:75us [09m33s] 16605 ab:aaaa=1,abbabba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16605 ab:aaaa=1,abbabba=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16606 solved: rounds:5,rules:3,peak:14,longest:9,steps:12,word:0,work:6125,nodes:54,pairs:59,completionMax:430us [09m33s] 16606 ab:aaaa=1,abbabbb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb ab - - ab:ba=ab,aaaa=1,bbbbb=aa [09m33s] from: 16606 ab:aaaa=1,abbabbb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbb,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16607 solved: rounds:6,rules:17,peak:32,longest:29,steps:16,word:25,work:236851,nodes:298,pairs:1311,completionMax:15565us [09m33s] 16607 ab:aaaa=1,abbbaab=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=babbb,aba=bbbbab,abba=bbbbbbbbabbbbbbbbbbbbbb,abbba=bbbabbbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbba=bbabbbbbbbb,abbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbabbbbbb,abbbbbbbbbba=bbbbbbbbbabbbbb,abbbbbbbbbbba=bbbbbabbbbbbbbbb,abbbbbbbbbbbba=bbbbbbbbbbbbbbabb,abbbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbbabbbbbbbbb [09m33s] from: 16607 ab:aaaa=1,abbbaab=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16608 solved: rounds:3,rules:3,peak:6,longest:7,steps:11,word:0,work:1117,nodes:36,pairs:26,completionMax:78us [09m33s] 16608 ab:aaaa=1,abbbabb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb ab - - ab:ba=ab,aaaa=1,bbbbb=aa [09m33s] from: 16608 ab:aaaa=1,abbbabb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbb,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16609 solved: rounds:6,rules:7,peak:21,longest:65,steps:87,word:103,work:743682,nodes:290,pairs:223,completionMax:18889us [09m33s] 16609 ab:aaaa=1,abbbbab=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babba=aabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaa=abbabbbbbbbbbb,aaa=babbbb,baabba=aabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] from: 16609 ab:aaaa=1,abbbbab=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 16601 ab:aaaa=1,ababbbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16610 solved: rounds:3,rules:3,peak:8,longest:8,steps:6,word:0,work:1540,nodes:42,pairs:35,completionMax:144us [09m33s] 16610 ab:aaaa=1,abbbbba=1 infinite;group:a-aaa,b-aabbbb ab - - ab:baa=aab,aaaa=1,bbbbb=aa [09m33s] from: 16610 ab:aaaa=1,abbbbba=1 infinite;group:a-aaa,b-aabbbb to: 16589 ab:aaaa=1,aabbbbb=1 infinite;group:a-aaa,b-aabbbb a=a,b=b [09m33s] # 16611 solved: rounds:4,rules:2,peak:4,longest:24,steps:2,word:17,work:256,nodes:48,pairs:17,completionMax:79us [09m33s] 16611 ab:aaaa=1,abbbbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbb [09m33s] from: 16611 ab:aaaa=1,abbbbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=aaaaaaaaaaaaaaaaaa,b=a [09m33s] # 16612 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:235,nodes:16,pairs:11,completionMax:39us [09m33s] 16612 ab:aaaa=1,baaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [09m33s] from: 16612 ab:aaaa=1,baaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [09m33s] # 16613 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:12,pairs:0,completionMax:6us [09m33s] 16613 ab:aaaa=1,baaaabb=1 infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [09m33s] from: 16613 ab:aaaa=1,baaaabb=1 infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [09m33s] # 16614 solved: rounds:5,rules:3,peak:24,longest:19,steps:35,word:24,work:47225,nodes:158,pairs:176,completionMax:2236us [09m33s] 16614 ab:aaaa=1,baaabab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,ab=bbbbbbba,aaaa=1 [09m33s] from: 16614 ab:aaaa=1,baaabab=1 finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb anti:a=b,b=a [09m33s] # 16615 solved: rounds:4,rules:2,peak:6,longest:16,steps:5,word:9,work:1655,nodes:40,pairs:30,completionMax:100us [09m33s] 16615 ab:aaaa=1,baaabbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16615 ab:aaaa=1,baaabbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16616 solved: rounds:2,rules:3,peak:3,longest:7,steps:4,word:0,work:110,nodes:20,pairs:5,completionMax:19us [09m33s] 16616 ab:aaaa=1,baabaab=1 infinite;group:a-aaa,b-bb ab - - ab:baa=aab,bbb=1,aaaa=1 [09m33s] from: 16616 ab:aaaa=1,baabaab=1 infinite;group:a-aaa,b-bb to: 16578 ab:aaaa=1,aabaabb=1 infinite;group:a-aaa,b-bb a=a,b=b [09m33s] # 16617 solved: rounds:7,rules:17,peak:33,longest:29,steps:20,word:22,work:221058,nodes:252,pairs:1235,completionMax:16540us [09m33s] 16617 ab:aaaa=1,baababb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=babbb,aba=bbbbab,abba=bbbbbbbbabbbbbbbbbbbbbb,abbba=bbbabbbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbba=bbabbbbbbbb,abbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbabbbbbb,abbbbbbbbbba=bbbbbbbbbabbbbb,abbbbbbbbbbba=bbbbbabbbbbbbbbb,abbbbbbbbbbbba=bbbbbbbbbbbbbbabb,abbbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbbabbbbbbbbb [09m33s] from: 16617 ab:aaaa=1,baababb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16618 solved: rounds:4,rules:2,peak:13,longest:23,steps:16,word:15,work:10228,nodes:124,pairs:88,completionMax:651us [09m33s] 16618 ab:aaaa=1,baabbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16618 ab:aaaa=1,baabbab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16619 solved: rounds:4,rules:3,peak:5,longest:8,steps:6,word:0,work:1566,nodes:38,pairs:25,completionMax:87us [09m33s] 16619 ab:aaaa=1,baabbbb=1 infinite;group:a-aaa,b-aabbbb ab - - ab:baa=aab,aaaa=1,bbbbb=aa [09m33s] from: 16619 ab:aaaa=1,baabbbb=1 infinite;group:a-aaa,b-aabbbb to: 16589 ab:aaaa=1,aabbbbb=1 infinite;group:a-aaa,b-aabbbb a=a,b=b [09m33s] # 16620 solved: rounds:7,rules:17,peak:30,longest:29,steps:7,word:25,work:141485,nodes:260,pairs:1119,completionMax:17759us [09m33s] 16620 ab:aaaa=1,babaabb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=bbbab,aba=babbbb,abba=bbbbbbbbbbbbbbabbbbbbbb,abbba=bbbbabbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbba=bbbbbbbbabb,abbbbbbba=bbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbbbbba=bbbbbbabbbbbbb,abbbbbbbbbba=bbbbbabbbbbbbbb,abbbbbbbbbbba=bbbbbbbbbbabbbbb,abbbbbbbbbbbba=bbabbbbbbbbbbbbbb,abbbbbbbbbbbbba=bbbbbbbbbbbabbbbbb,abbbbbbbbbbbbbba=bbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbabbbbbbbbbb [09m33s] from: 16620 ab:aaaa=1,babaabb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb anti:a=a,b=b [09m33s] # 16621 solved: rounds:2,rules:2,peak:4,longest:16,steps:16,word:9,work:873,nodes:38,pairs:7,completionMax:41us [09m33s] 16621 ab:aaaa=1,bababab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16621 ab:aaaa=1,bababab=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16622 solved: rounds:8,rules:7,peak:33,longest:61,steps:72,word:103,work:1602596,nodes:358,pairs:629,completionMax:42360us [09m33s] 16622 ab:aaaa=1,bababbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babba=aabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaa=abbabbbbbbbbbb,aaa=babbbb,baabba=aabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] from: 16622 ab:aaaa=1,bababbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 16601 ab:aaaa=1,ababbbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16623 solved: rounds:3,rules:3,peak:5,longest:7,steps:9,word:0,work:1032,nodes:24,pairs:10,completionMax:56us [09m33s] 16623 ab:aaaa=1,babbabb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb ab - - ab:ba=ab,aaaa=1,bbbbb=aa [09m33s] from: 16623 ab:aaaa=1,babbabb=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbb,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16624 solved: rounds:3,rules:3,peak:9,longest:9,steps:7,word:0,work:3615,nodes:50,pairs:58,completionMax:232us [09m33s] 16624 ab:aaaa=1,babbbab=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb ab - - ab:ba=ab,aaaa=1,bbbbb=aa [09m33s] from: 16624 ab:aaaa=1,babbbab=1 finite:20;center:1,a,b,aa,ab,bb,aaa,aab,abb,bbb,aaab,aabb,abbb,bbbb,aaabb,aabbb,abbbb,aaabbb,aabbbb,aaabbbb;commutative:ab:a4=1,b5=a2;saturation:ab:b4=1,a5=b2;cancellative;smith:20;group:a-aaa,b-aabbbb to: 4212 ab:aaaaa=1,abbbb=1 finite:20;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb;commutative:ab:b20=1,a=b16;saturation:a:a20=1;cancellative;smith:20;group:a-bbbb,b-bbbbbbbbbbbbbbbbbbb a=bbbbb,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16625 solved: rounds:6,rules:2,peak:5,longest:24,steps:14,word:17,work:1861,nodes:48,pairs:14,completionMax:128us [09m33s] 16625 ab:aaaa=1,babbbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbb [09m33s] from: 16625 ab:aaaa=1,babbbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=aaaaaaaaaaaaaaaaaa,b=a [09m33s] # 16626 solved: rounds:3,rules:2,peak:9,longest:18,steps:7,word:9,work:5470,nodes:74,pairs:72,completionMax:446us [09m33s] 16626 ab:aaaa=1,bbaaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [09m33s] from: 16626 ab:aaaa=1,bbaaabb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [09m33s] # 16627 solved: rounds:3,rules:3,peak:7,longest:7,steps:4,word:0,work:1841,nodes:38,pairs:17,completionMax:113us [09m33s] 16627 ab:aaaa=1,bbaabbb=1 infinite;group:a-aaa,b-aabbbb ab - - ab:baa=aab,aaaa=1,bbbbb=aa [09m33s] from: 16627 ab:aaaa=1,bbaabbb=1 infinite;group:a-aaa,b-aabbbb to: 16589 ab:aaaa=1,aabbbbb=1 infinite;group:a-aaa,b-aabbbb a=a,b=b [09m33s] # 16628 solved: rounds:7,rules:7,peak:34,longest:113,steps:81,word:106,work:1858572,nodes:778,pairs:582,completionMax:68416us [09m33s] 16628 ab:aaaa=1,bbababb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babba=aabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaa=abbabbbbbbbbbb,aaa=babbbb,baabba=aabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [09m33s] from: 16628 ab:aaaa=1,bbababb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 16601 ab:aaaa=1,ababbbb=1 finite:480;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [09m33s] # 16629 solved: rounds:6,rules:2,peak:7,longest:24,steps:14,word:17,work:2361,nodes:48,pairs:23,completionMax:150us [09m33s] 16629 ab:aaaa=1,bbabbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbb [09m33s] from: 16629 ab:aaaa=1,bbabbbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=aaaaaaaaaaaaaaaaaa,b=a [09m33s] # 16630 solved: rounds:6,rules:2,peak:5,longest:24,steps:14,word:17,work:1529,nodes:48,pairs:22,completionMax:113us [09m33s] 16630 ab:aaaa=1,bbbabbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbbbbbb [09m33s] from: 16630 ab:aaaa=1,bbbabbb=1 finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b18;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=aaaaaaaaaaaaaaaaaa,b=a [09m33s] # 16631 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:20,pairs:0,completionMax:6us [09m33s] 16631 ab:aaaa=1,bbbbbbb=1 infinite;group:a-aaa,b-bbbbbb ab - - ab:aaaa=1,bbbbbbb=1 [09m33s] # 16632 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:3,work:12,nodes:14,pairs:3,completionMax:12us [09m33s] 16632 ab:aaab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 16632 ab:aaab=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 16633 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:3,completionMax:6us [09m33s] 16633 ab:aaab=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16633 ab:aaab=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16634 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:8,pairs:3,completionMax:5us [09m33s] 16634 ab:aaab=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16634 ab:aaab=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16635 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:3,completionMax:7us [09m33s] 16635 ab:aaab=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16635 ab:aaab=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16636 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:3,completionMax:9us [09m33s] 16636 ab:aaab=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16636 ab:aaab=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16637 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:3,completionMax:5us [09m33s] 16637 ab:aaab=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16637 ab:aaab=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16638 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:72,nodes:12,pairs:12,completionMax:24us [09m33s] 16638 ab:aaab=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16638 ab:aaab=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16639 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:16,nodes:10,pairs:3,completionMax:9us [09m33s] 16639 ab:aaab=1,aaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16639 ab:aaab=1,aaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16640 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:3,completionMax:6us [09m33s] 16640 ab:aaab=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16640 ab:aaab=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16641 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:3,completionMax:5us [09m33s] 16641 ab:aaab=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16641 ab:aaab=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16642 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:71,nodes:12,pairs:12,completionMax:19us [09m33s] 16642 ab:aaab=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16642 ab:aaab=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16643 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:15,nodes:10,pairs:3,completionMax:10us [09m33s] 16643 ab:aaab=1,aaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16643 ab:aaab=1,aaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16644 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:143,nodes:12,pairs:14,completionMax:30us [09m33s] 16644 ab:aaab=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16644 ab:aaab=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16645 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:63,nodes:12,pairs:8,completionMax:17us [09m33s] 16645 ab:aaab=1,aaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16645 ab:aaab=1,aaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16646 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:89,nodes:12,pairs:8,completionMax:25us [09m33s] 16646 ab:aaab=1,aaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16646 ab:aaab=1,aaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16647 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:62,nodes:20,pairs:5,completionMax:16us [09m33s] 16647 ab:aaab=1,aaabbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16647 ab:aaab=1,aaabbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16648 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:388,nodes:18,pairs:27,completionMax:56us [09m33s] 16648 ab:aaab=1,aabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16648 ab:aaab=1,aabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16649 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:3,completionMax:6us [09m33s] 16649 ab:aaab=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16649 ab:aaab=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16650 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:161,nodes:20,pairs:15,completionMax:23us [09m33s] 16650 ab:aaab=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16650 ab:aaab=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16651 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:2,work:42,nodes:16,pairs:3,completionMax:18us [09m33s] 16651 ab:aaab=1,aabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16651 ab:aaab=1,aabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16652 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:334,nodes:22,pairs:21,completionMax:36us [09m33s] 16652 ab:aaab=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16652 ab:aaab=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16653 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:1,work:61,nodes:20,pairs:8,completionMax:21us [09m33s] 16653 ab:aaab=1,aababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16653 ab:aaab=1,aababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16654 solved: rounds:3,rules:2,peak:5,longest:7,steps:13,word:2,work:597,nodes:20,pairs:22,completionMax:56us [09m33s] 16654 ab:aaab=1,aababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16654 ab:aaab=1,aababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16655 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:5,work:88,nodes:22,pairs:8,completionMax:32us [09m33s] 16655 ab:aaab=1,aababbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16655 ab:aaab=1,aababbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16656 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:0,work:403,nodes:22,pairs:19,completionMax:46us [09m33s] 16656 ab:aaab=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16656 ab:aaab=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16657 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:107,nodes:22,pairs:11,completionMax:32us [09m33s] 16657 ab:aaab=1,aabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16657 ab:aaab=1,aabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16658 solved: rounds:3,rules:2,peak:5,longest:7,steps:11,word:2,work:438,nodes:22,pairs:18,completionMax:53us [09m33s] 16658 ab:aaab=1,aabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16658 ab:aaab=1,aabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16659 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:266,nodes:28,pairs:20,completionMax:59us [09m33s] 16659 ab:aaab=1,aabbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16659 ab:aaab=1,aabbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16660 solved: rounds:2,rules:2,peak:5,longest:7,steps:10,word:3,work:459,nodes:22,pairs:18,completionMax:48us [09m33s] 16660 ab:aaab=1,aabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16660 ab:aaab=1,aabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16661 solved: rounds:4,rules:2,peak:6,longest:10,steps:2,word:5,work:326,nodes:30,pairs:24,completionMax:79us [09m33s] 16661 ab:aaab=1,aabbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16661 ab:aaab=1,aabbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16662 solved: rounds:4,rules:2,peak:9,longest:10,steps:25,word:10,work:1345,nodes:28,pairs:34,completionMax:124us [09m33s] 16662 ab:aaab=1,aabbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16662 ab:aaab=1,aabbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16663 solved: rounds:5,rules:2,peak:5,longest:13,steps:8,word:9,work:461,nodes:26,pairs:15,completionMax:44us [09m33s] 16663 ab:aaab=1,aabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16663 ab:aaab=1,aabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16664 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:457,nodes:22,pairs:25,completionMax:46us [09m33s] 16664 ab:aaab=1,abaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16664 ab:aaab=1,abaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16665 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:74,nodes:12,pairs:12,completionMax:15us [09m33s] 16665 ab:aaab=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16665 ab:aaab=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16666 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:73,nodes:12,pairs:12,completionMax:13us [09m33s] 16666 ab:aaab=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16666 ab:aaab=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16667 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:17,nodes:10,pairs:3,completionMax:7us [09m33s] 16667 ab:aaab=1,abaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16667 ab:aaab=1,abaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16668 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:701,nodes:24,pairs:47,completionMax:68us [09m33s] 16668 ab:aaab=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16668 ab:aaab=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16669 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:1,work:157,nodes:22,pairs:16,completionMax:27us [09m33s] 16669 ab:aaab=1,abaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16669 ab:aaab=1,abaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16670 solved: rounds:2,rules:2,peak:5,longest:7,steps:8,word:2,work:605,nodes:22,pairs:22,completionMax:60us [09m33s] 16670 ab:aaab=1,abaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16670 ab:aaab=1,abaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16671 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:5,work:99,nodes:24,pairs:8,completionMax:28us [09m33s] 16671 ab:aaab=1,abaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16671 ab:aaab=1,abaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16672 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:410,nodes:22,pairs:18,completionMax:62us [09m33s] 16672 ab:aaab=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16672 ab:aaab=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16673 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:1,work:239,nodes:20,pairs:20,completionMax:33us [09m33s] 16673 ab:aaab=1,ababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16673 ab:aaab=1,ababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16674 solved: rounds:2,rules:2,peak:4,longest:7,steps:9,word:2,work:476,nodes:26,pairs:14,completionMax:30us [09m33s] 16674 ab:aaab=1,abababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16674 ab:aaab=1,abababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16675 solved: rounds:4,rules:2,peak:5,longest:10,steps:2,word:5,work:169,nodes:24,pairs:13,completionMax:39us [09m33s] 16675 ab:aaab=1,abababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16675 ab:aaab=1,abababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16676 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:2,work:1038,nodes:32,pairs:34,completionMax:120us [09m33s] 16676 ab:aaab=1,ababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16676 ab:aaab=1,ababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16677 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:6,work:358,nodes:22,pairs:19,completionMax:42us [09m33s] 16677 ab:aaab=1,ababbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16677 ab:aaab=1,ababbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16678 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:1153,nodes:32,pairs:27,completionMax:120us [09m33s] 16678 ab:aaab=1,ababbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16678 ab:aaab=1,ababbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16679 solved: rounds:4,rules:2,peak:8,longest:13,steps:4,word:9,work:568,nodes:34,pairs:20,completionMax:74us [09m33s] 16679 ab:aaab=1,ababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16679 ab:aaab=1,ababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16680 solved: rounds:2,rules:2,peak:6,longest:7,steps:8,word:0,work:557,nodes:20,pairs:25,completionMax:59us [09m33s] 16680 ab:aaab=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16680 ab:aaab=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16681 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:18,nodes:10,pairs:3,completionMax:12us [09m33s] 16681 ab:aaab=1,abbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16681 ab:aaab=1,abbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16682 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:2,work:597,nodes:26,pairs:25,completionMax:98us [09m33s] 16682 ab:aaab=1,abbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16682 ab:aaab=1,abbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16683 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:6,work:428,nodes:28,pairs:20,completionMax:74us [09m33s] 16683 ab:aaab=1,abbaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16683 ab:aaab=1,abbaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16684 solved: rounds:2,rules:2,peak:8,longest:7,steps:8,word:3,work:984,nodes:26,pairs:32,completionMax:126us [09m33s] 16684 ab:aaab=1,abbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16684 ab:aaab=1,abbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16685 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:1077,nodes:32,pairs:25,completionMax:140us [09m33s] 16685 ab:aaab=1,abbabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16685 ab:aaab=1,abbabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16686 solved: rounds:4,rules:2,peak:7,longest:9,steps:7,word:5,work:688,nodes:26,pairs:22,completionMax:86us [09m33s] 16686 ab:aaab=1,abbabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16686 ab:aaab=1,abbabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16687 solved: rounds:4,rules:2,peak:9,longest:13,steps:5,word:9,work:1294,nodes:30,pairs:51,completionMax:188us [09m33s] 16687 ab:aaab=1,abbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16687 ab:aaab=1,abbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16688 solved: rounds:2,rules:2,peak:5,longest:7,steps:10,word:3,work:559,nodes:26,pairs:18,completionMax:47us [09m33s] 16688 ab:aaab=1,abbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16688 ab:aaab=1,abbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16689 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:10,work:600,nodes:28,pairs:37,completionMax:114us [09m33s] 16689 ab:aaab=1,abbbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16689 ab:aaab=1,abbbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16690 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:1236,nodes:32,pairs:31,completionMax:134us [09m33s] 16690 ab:aaab=1,abbbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16690 ab:aaab=1,abbbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16691 solved: rounds:5,rules:2,peak:9,longest:13,steps:9,word:9,work:1319,nodes:30,pairs:47,completionMax:168us [09m33s] 16691 ab:aaab=1,abbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16691 ab:aaab=1,abbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16692 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:1274,nodes:34,pairs:33,completionMax:140us [09m33s] 16692 ab:aaab=1,abbbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16692 ab:aaab=1,abbbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16693 solved: rounds:3,rules:2,peak:13,longest:13,steps:6,word:9,work:2527,nodes:46,pairs:42,completionMax:188us [09m33s] 16693 ab:aaab=1,abbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16693 ab:aaab=1,abbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16694 solved: rounds:5,rules:2,peak:8,longest:13,steps:9,word:9,work:1358,nodes:28,pairs:29,completionMax:94us [09m33s] 16694 ab:aaab=1,abbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16694 ab:aaab=1,abbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16695 solved: rounds:4,rules:2,peak:8,longest:18,steps:34,word:22,work:6339,nodes:50,pairs:53,completionMax:274us [09m33s] 16695 ab:aaab=1,abbbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16695 ab:aaab=1,abbbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16696 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:608,nodes:24,pairs:27,completionMax:66us [09m33s] 16696 ab:aaab=1,baaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16696 ab:aaab=1,baaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16697 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:146,nodes:12,pairs:14,completionMax:24us [09m33s] 16697 ab:aaab=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16697 ab:aaab=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16698 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:145,nodes:12,pairs:14,completionMax:18us [09m33s] 16698 ab:aaab=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16698 ab:aaab=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16699 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:65,nodes:12,pairs:8,completionMax:22us [09m33s] 16699 ab:aaab=1,baaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16699 ab:aaab=1,baaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16700 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:144,nodes:12,pairs:14,completionMax:30us [09m33s] 16700 ab:aaab=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16700 ab:aaab=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16701 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:64,nodes:12,pairs:8,completionMax:17us [09m33s] 16701 ab:aaab=1,baaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16701 ab:aaab=1,baaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16702 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:90,nodes:12,pairs:8,completionMax:18us [09m33s] 16702 ab:aaab=1,baaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16702 ab:aaab=1,baaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16703 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:63,nodes:20,pairs:5,completionMax:22us [09m33s] 16703 ab:aaab=1,baaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16703 ab:aaab=1,baaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16704 solved: rounds:2,rules:2,peak:6,longest:7,steps:10,word:0,work:772,nodes:22,pairs:21,completionMax:44us [09m33s] 16704 ab:aaab=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16704 ab:aaab=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16705 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:2,work:340,nodes:28,pairs:16,completionMax:37us [09m33s] 16705 ab:aaab=1,baabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16705 ab:aaab=1,baabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16706 solved: rounds:2,rules:2,peak:10,longest:7,steps:16,word:2,work:1781,nodes:32,pairs:32,completionMax:163us [09m33s] 16706 ab:aaab=1,baababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16706 ab:aaab=1,baababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16707 solved: rounds:2,rules:2,peak:9,longest:9,steps:3,word:6,work:988,nodes:36,pairs:11,completionMax:72us [09m33s] 16707 ab:aaab=1,baababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16707 ab:aaab=1,baababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16708 solved: rounds:2,rules:2,peak:8,longest:7,steps:16,word:3,work:1988,nodes:32,pairs:38,completionMax:150us [09m33s] 16708 ab:aaab=1,baabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16708 ab:aaab=1,baabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16709 solved: rounds:3,rules:2,peak:9,longest:9,steps:4,word:6,work:1124,nodes:26,pairs:56,completionMax:178us [09m33s] 16709 ab:aaab=1,baabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16709 ab:aaab=1,baabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16710 solved: rounds:3,rules:2,peak:11,longest:9,steps:4,word:5,work:1337,nodes:34,pairs:54,completionMax:200us [09m33s] 16710 ab:aaab=1,baabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16710 ab:aaab=1,baabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16711 solved: rounds:5,rules:2,peak:7,longest:13,steps:4,word:9,work:1003,nodes:30,pairs:32,completionMax:117us [09m33s] 16711 ab:aaab=1,baabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16711 ab:aaab=1,baabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16712 solved: rounds:2,rules:2,peak:6,longest:7,steps:10,word:0,work:864,nodes:22,pairs:24,completionMax:68us [09m33s] 16712 ab:aaab=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16712 ab:aaab=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16713 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:66,nodes:12,pairs:8,completionMax:19us [09m33s] 16713 ab:aaab=1,babaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16713 ab:aaab=1,babaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16714 solved: rounds:2,rules:2,peak:8,longest:7,steps:3,word:2,work:886,nodes:32,pairs:26,completionMax:107us [09m33s] 16714 ab:aaab=1,babaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16714 ab:aaab=1,babaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16715 solved: rounds:2,rules:2,peak:9,longest:9,steps:4,word:5,work:1074,nodes:42,pairs:12,completionMax:99us [09m33s] 16715 ab:aaab=1,babaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16715 ab:aaab=1,babaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16716 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:2,work:786,nodes:28,pairs:21,completionMax:67us [09m33s] 16716 ab:aaab=1,bababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16716 ab:aaab=1,bababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16717 solved: rounds:2,rules:2,peak:4,longest:9,steps:7,word:5,work:346,nodes:20,pairs:9,completionMax:31us [09m33s] 16717 ab:aaab=1,bababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16717 ab:aaab=1,bababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16718 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:1861,nodes:32,pairs:40,completionMax:146us [09m33s] 16718 ab:aaab=1,bababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16718 ab:aaab=1,bababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16719 solved: rounds:5,rules:2,peak:8,longest:13,steps:7,word:9,work:1088,nodes:32,pairs:42,completionMax:145us [09m33s] 16719 ab:aaab=1,bababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16719 ab:aaab=1,bababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16720 solved: rounds:2,rules:2,peak:5,longest:7,steps:11,word:2,work:588,nodes:28,pairs:22,completionMax:53us [09m33s] 16720 ab:aaab=1,babbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16720 ab:aaab=1,babbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16721 solved: rounds:3,rules:2,peak:9,longest:9,steps:24,word:10,work:3257,nodes:36,pairs:45,completionMax:234us [09m33s] 16721 ab:aaab=1,babbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16721 ab:aaab=1,babbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16722 solved: rounds:3,rules:2,peak:10,longest:12,steps:23,word:10,work:2884,nodes:38,pairs:39,completionMax:187us [09m33s] 16722 ab:aaab=1,babbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16722 ab:aaab=1,babbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16723 solved: rounds:5,rules:2,peak:7,longest:13,steps:8,word:9,work:1010,nodes:30,pairs:25,completionMax:119us [09m33s] 16723 ab:aaab=1,babbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16723 ab:aaab=1,babbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16724 solved: rounds:4,rules:2,peak:11,longest:12,steps:9,word:10,work:1891,nodes:34,pairs:36,completionMax:125us [09m33s] 16724 ab:aaab=1,babbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16724 ab:aaab=1,babbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16725 solved: rounds:5,rules:2,peak:10,longest:13,steps:7,word:9,work:2291,nodes:36,pairs:56,completionMax:150us [09m33s] 16725 ab:aaab=1,babbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16725 ab:aaab=1,babbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16726 solved: rounds:4,rules:2,peak:10,longest:13,steps:5,word:9,work:1803,nodes:40,pairs:56,completionMax:161us [09m33s] 16726 ab:aaab=1,babbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16726 ab:aaab=1,babbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16727 solved: rounds:6,rules:2,peak:7,longest:17,steps:8,word:13,work:1625,nodes:36,pairs:38,completionMax:135us [09m33s] 16727 ab:aaab=1,babbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16727 ab:aaab=1,babbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16728 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:336,nodes:20,pairs:21,completionMax:42us [09m33s] 16728 ab:aaab=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16728 ab:aaab=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16729 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:92,nodes:12,pairs:8,completionMax:19us [09m33s] 16729 ab:aaab=1,bbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16729 ab:aaab=1,bbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16730 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:91,nodes:12,pairs:8,completionMax:18us [09m33s] 16730 ab:aaab=1,bbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16730 ab:aaab=1,bbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16731 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:64,nodes:20,pairs:5,completionMax:16us [09m33s] 16731 ab:aaab=1,bbaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16731 ab:aaab=1,bbaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16732 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:2,work:585,nodes:28,pairs:25,completionMax:76us [09m33s] 16732 ab:aaab=1,bbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16732 ab:aaab=1,bbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16733 solved: rounds:2,rules:2,peak:7,longest:9,steps:4,word:5,work:536,nodes:36,pairs:13,completionMax:53us [09m33s] 16733 ab:aaab=1,bbaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16733 ab:aaab=1,bbaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16734 solved: rounds:2,rules:2,peak:9,longest:9,steps:4,word:5,work:1094,nodes:44,pairs:24,completionMax:83us [09m33s] 16734 ab:aaab=1,bbaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16734 ab:aaab=1,bbaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16735 solved: rounds:3,rules:2,peak:8,longest:13,steps:8,word:18,work:1346,nodes:32,pairs:35,completionMax:155us [09m33s] 16735 ab:aaab=1,bbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16735 ab:aaab=1,bbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16736 solved: rounds:2,rules:2,peak:6,longest:7,steps:10,word:3,work:481,nodes:28,pairs:20,completionMax:69us [09m33s] 16736 ab:aaab=1,bbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16736 ab:aaab=1,bbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16737 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:5,work:445,nodes:32,pairs:24,completionMax:72us [09m33s] 16737 ab:aaab=1,bbabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16737 ab:aaab=1,bbabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16738 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:5,work:656,nodes:32,pairs:30,completionMax:94us [09m33s] 16738 ab:aaab=1,bbababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16738 ab:aaab=1,bbababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16739 solved: rounds:5,rules:2,peak:8,longest:13,steps:9,word:9,work:1575,nodes:36,pairs:41,completionMax:153us [09m33s] 16739 ab:aaab=1,bbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16739 ab:aaab=1,bbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16740 solved: rounds:4,rules:2,peak:9,longest:12,steps:9,word:10,work:1611,nodes:32,pairs:31,completionMax:158us [09m33s] 16740 ab:aaab=1,bbabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16740 ab:aaab=1,bbabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16741 solved: rounds:5,rules:2,peak:8,longest:13,steps:9,word:9,work:1404,nodes:32,pairs:32,completionMax:137us [09m33s] 16741 ab:aaab=1,bbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16741 ab:aaab=1,bbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16742 solved: rounds:5,rules:2,peak:14,longest:13,steps:9,word:9,work:2952,nodes:40,pairs:38,completionMax:223us [09m33s] 16742 ab:aaab=1,bbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16742 ab:aaab=1,bbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16743 solved: rounds:6,rules:2,peak:7,longest:17,steps:11,word:13,work:1892,nodes:36,pairs:43,completionMax:200us [09m33s] 16743 ab:aaab=1,bbabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16743 ab:aaab=1,bbabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16744 solved: rounds:3,rules:2,peak:7,longest:7,steps:10,word:3,work:447,nodes:28,pairs:19,completionMax:66us [09m33s] 16744 ab:aaab=1,bbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16744 ab:aaab=1,bbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16745 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:65,nodes:20,pairs:5,completionMax:20us [09m33s] 16745 ab:aaab=1,bbbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16745 ab:aaab=1,bbbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16746 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:5,work:365,nodes:30,pairs:18,completionMax:53us [09m33s] 16746 ab:aaab=1,bbbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16746 ab:aaab=1,bbbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16747 solved: rounds:5,rules:2,peak:9,longest:13,steps:9,word:9,work:2103,nodes:30,pairs:66,completionMax:218us [09m33s] 16747 ab:aaab=1,bbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16747 ab:aaab=1,bbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16748 solved: rounds:3,rules:2,peak:6,longest:9,steps:9,word:15,work:960,nodes:28,pairs:37,completionMax:90us [09m33s] 16748 ab:aaab=1,bbbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16748 ab:aaab=1,bbbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16749 solved: rounds:5,rules:2,peak:10,longest:13,steps:7,word:9,work:1892,nodes:36,pairs:62,completionMax:241us [09m33s] 16749 ab:aaab=1,bbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16749 ab:aaab=1,bbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16750 solved: rounds:5,rules:2,peak:9,longest:13,steps:8,word:9,work:1411,nodes:34,pairs:54,completionMax:136us [09m33s] 16750 ab:aaab=1,bbbabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16750 ab:aaab=1,bbbabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16751 solved: rounds:6,rules:2,peak:8,longest:17,steps:12,word:13,work:2776,nodes:34,pairs:38,completionMax:186us [09m33s] 16751 ab:aaab=1,bbbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16751 ab:aaab=1,bbbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16752 solved: rounds:2,rules:2,peak:8,longest:15,steps:23,word:15,work:2592,nodes:44,pairs:18,completionMax:98us [09m33s] 16752 ab:aaab=1,bbbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16752 ab:aaab=1,bbbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16753 solved: rounds:5,rules:2,peak:7,longest:13,steps:6,word:9,work:939,nodes:26,pairs:42,completionMax:114us [09m33s] 16753 ab:aaab=1,bbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16753 ab:aaab=1,bbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16754 solved: rounds:5,rules:2,peak:8,longest:13,steps:8,word:9,work:1070,nodes:32,pairs:46,completionMax:132us [09m33s] 16754 ab:aaab=1,bbbbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16754 ab:aaab=1,bbbbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16755 solved: rounds:6,rules:2,peak:8,longest:17,steps:12,word:13,work:2463,nodes:34,pairs:40,completionMax:171us [09m33s] 16755 ab:aaab=1,bbbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16755 ab:aaab=1,bbbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16756 solved: rounds:5,rules:2,peak:9,longest:13,steps:16,word:9,work:2022,nodes:26,pairs:32,completionMax:148us [09m33s] 16756 ab:aaab=1,bbbbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16756 ab:aaab=1,bbbbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16757 solved: rounds:6,rules:2,peak:7,longest:17,steps:10,word:13,work:1746,nodes:34,pairs:46,completionMax:165us [09m33s] 16757 ab:aaab=1,bbbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16757 ab:aaab=1,bbbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16758 solved: rounds:6,rules:2,peak:7,longest:17,steps:8,word:13,work:1602,nodes:34,pairs:44,completionMax:147us [09m33s] 16758 ab:aaab=1,bbbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16758 ab:aaab=1,bbbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16759 solved: rounds:7,rules:2,peak:5,longest:21,steps:12,word:17,work:1666,nodes:42,pairs:24,completionMax:116us [09m33s] 16759 ab:aaab=1,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a18;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaaaa [09m33s] from: 16759 ab:aaab=1,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a18;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=b,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16760 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:111,nodes:18,pairs:9,completionMax:21us [09m33s] 16760 ab:aaba=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [09m33s] from: 16760 ab:aaba=1,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [09m33s] # 16761 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:186,nodes:18,pairs:18,completionMax:49us [09m33s] 16761 ab:aaba=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16761 ab:aaba=1,aaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16762 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:60,nodes:10,pairs:9,completionMax:20us [09m33s] 16762 ab:aaba=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16762 ab:aaba=1,aaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16763 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:0,work:184,nodes:20,pairs:19,completionMax:46us [09m33s] 16763 ab:aaba=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16763 ab:aaba=1,aaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16764 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:10,pairs:9,completionMax:18us [09m33s] 16764 ab:aaba=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16764 ab:aaba=1,aaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16765 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:22,nodes:8,pairs:3,completionMax:7us [09m33s] 16765 ab:aaba=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16765 ab:aaba=1,aaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16766 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:452,nodes:22,pairs:35,completionMax:73us [09m33s] 16766 ab:aaba=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16766 ab:aaba=1,aaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16767 solved: rounds:3,rules:2,peak:5,longest:7,steps:6,word:2,work:316,nodes:24,pairs:23,completionMax:48us [09m33s] 16767 ab:aaba=1,aaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16767 ab:aaba=1,aaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16768 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:58,nodes:10,pairs:9,completionMax:17us [09m33s] 16768 ab:aaba=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16768 ab:aaba=1,aaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16769 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:21,nodes:8,pairs:3,completionMax:9us [09m33s] 16769 ab:aaba=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16769 ab:aaba=1,aaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16770 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:30,nodes:10,pairs:5,completionMax:8us [09m33s] 16770 ab:aaba=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16770 ab:aaba=1,aaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16771 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:233,nodes:16,pairs:21,completionMax:53us [09m33s] 16771 ab:aaba=1,aaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16771 ab:aaba=1,aaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16772 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:623,nodes:26,pairs:36,completionMax:70us [09m33s] 16772 ab:aaba=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16772 ab:aaba=1,aaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16773 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:2,work:285,nodes:24,pairs:24,completionMax:50us [09m33s] 16773 ab:aaba=1,aaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16773 ab:aaba=1,aaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16774 solved: rounds:4,rules:2,peak:6,longest:7,steps:5,word:1,work:735,nodes:26,pairs:25,completionMax:55us [09m33s] 16774 ab:aaba=1,aaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16774 ab:aaba=1,aaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16775 solved: rounds:6,rules:2,peak:5,longest:9,steps:10,word:5,work:447,nodes:24,pairs:19,completionMax:62us [09m33s] 16775 ab:aaba=1,aaabbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16775 ab:aaba=1,aaabbbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16776 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:57,nodes:10,pairs:9,completionMax:16us [09m33s] 16776 ab:aaba=1,aabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16776 ab:aaba=1,aabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16777 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:20,nodes:8,pairs:3,completionMax:6us [09m33s] 16777 ab:aaba=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16777 ab:aaba=1,aabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16778 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:29,nodes:10,pairs:5,completionMax:9us [09m33s] 16778 ab:aaba=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16778 ab:aaba=1,aabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16779 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:232,nodes:16,pairs:21,completionMax:38us [09m33s] 16779 ab:aaba=1,aabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16779 ab:aaba=1,aabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16780 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:106,nodes:12,pairs:16,completionMax:21us [09m33s] 16780 ab:aaba=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16780 ab:aaba=1,aababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16781 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:27,nodes:12,pairs:6,completionMax:16us [09m33s] 16781 ab:aaba=1,aababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16781 ab:aaba=1,aababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16782 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:239,nodes:16,pairs:22,completionMax:52us [09m33s] 16782 ab:aaba=1,aababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16782 ab:aaba=1,aababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16783 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1298,nodes:48,pairs:28,completionMax:124us [09m33s] 16783 ab:aaba=1,aababbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16783 ab:aaba=1,aababbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16784 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:601,nodes:26,pairs:35,completionMax:100us [09m33s] 16784 ab:aaba=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16784 ab:aaba=1,aabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16785 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:2,work:323,nodes:24,pairs:17,completionMax:45us [09m33s] 16785 ab:aaba=1,aabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16785 ab:aaba=1,aabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16786 solved: rounds:3,rules:2,peak:7,longest:7,steps:10,word:3,work:1190,nodes:28,pairs:43,completionMax:117us [09m33s] 16786 ab:aaba=1,aabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16786 ab:aaba=1,aabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16787 solved: rounds:4,rules:2,peak:11,longest:9,steps:43,word:7,work:7210,nodes:44,pairs:84,completionMax:373us [09m33s] 16787 ab:aaba=1,aabbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16787 ab:aaba=1,aabbabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16788 solved: rounds:4,rules:2,peak:7,longest:7,steps:7,word:2,work:1682,nodes:34,pairs:46,completionMax:144us [09m33s] 16788 ab:aaba=1,aabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16788 ab:aaba=1,aabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16789 solved: rounds:5,rules:2,peak:6,longest:9,steps:4,word:5,work:509,nodes:26,pairs:21,completionMax:49us [09m33s] 16789 ab:aaba=1,aabbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16789 ab:aaba=1,aabbbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16790 solved: rounds:5,rules:2,peak:7,longest:12,steps:10,word:10,work:1390,nodes:32,pairs:37,completionMax:102us [09m33s] 16790 ab:aaba=1,aabbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16790 ab:aaba=1,aabbbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16791 solved: rounds:7,rules:2,peak:8,longest:13,steps:12,word:9,work:1406,nodes:32,pairs:33,completionMax:98us [09m33s] 16791 ab:aaba=1,aabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16791 ab:aaba=1,aabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16792 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:312,nodes:22,pairs:21,completionMax:44us [09m33s] 16792 ab:aaba=1,abaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16792 ab:aaba=1,abaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16793 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:0,work:209,nodes:22,pairs:22,completionMax:46us [09m33s] 16793 ab:aaba=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16793 ab:aaba=1,abaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16794 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:32,nodes:10,pairs:5,completionMax:7us [09m33s] 16794 ab:aaba=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16794 ab:aaba=1,abaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16795 solved: rounds:2,rules:2,peak:5,longest:7,steps:12,word:2,work:739,nodes:18,pairs:21,completionMax:56us [09m33s] 16795 ab:aaba=1,abaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16795 ab:aaba=1,abaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16796 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:31,nodes:10,pairs:5,completionMax:11us [09m33s] 16796 ab:aaba=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16796 ab:aaba=1,abaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16797 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:234,nodes:16,pairs:21,completionMax:52us [09m33s] 16797 ab:aaba=1,abaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16797 ab:aaba=1,abaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16798 solved: rounds:2,rules:2,peak:8,longest:7,steps:8,word:3,work:1211,nodes:30,pairs:29,completionMax:107us [09m33s] 16798 ab:aaba=1,abaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16798 ab:aaba=1,abaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16799 solved: rounds:5,rules:2,peak:6,longest:9,steps:4,word:5,work:471,nodes:20,pairs:23,completionMax:75us [09m33s] 16799 ab:aaba=1,abaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16799 ab:aaba=1,abaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16800 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:793,nodes:26,pairs:49,completionMax:89us [09m33s] 16800 ab:aaba=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16800 ab:aaba=1,ababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16801 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:2,work:375,nodes:24,pairs:22,completionMax:69us [09m33s] 16801 ab:aaba=1,ababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16801 ab:aaba=1,ababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16802 solved: rounds:4,rules:2,peak:5,longest:7,steps:5,word:1,work:313,nodes:24,pairs:16,completionMax:36us [09m33s] 16802 ab:aaba=1,abababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16802 ab:aaba=1,abababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16803 solved: rounds:4,rules:2,peak:6,longest:9,steps:5,word:5,work:532,nodes:24,pairs:23,completionMax:78us [09m33s] 16803 ab:aaba=1,abababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16803 ab:aaba=1,abababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16804 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:2,work:632,nodes:24,pairs:26,completionMax:70us [09m33s] 16804 ab:aaba=1,ababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16804 ab:aaba=1,ababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16805 solved: rounds:4,rules:2,peak:6,longest:9,steps:5,word:5,work:718,nodes:24,pairs:28,completionMax:76us [09m33s] 16805 ab:aaba=1,ababbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16805 ab:aaba=1,ababbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16806 solved: rounds:5,rules:2,peak:6,longest:9,steps:8,word:5,work:595,nodes:24,pairs:26,completionMax:56us [09m33s] 16806 ab:aaba=1,ababbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16806 ab:aaba=1,ababbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16807 solved: rounds:5,rules:2,peak:6,longest:13,steps:8,word:9,work:756,nodes:26,pairs:25,completionMax:63us [09m33s] 16807 ab:aaba=1,ababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16807 ab:aaba=1,ababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16808 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:732,nodes:24,pairs:27,completionMax:52us [09m33s] 16808 ab:aaba=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16808 ab:aaba=1,abbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16809 solved: rounds:2,rules:2,peak:7,longest:7,steps:7,word:2,work:832,nodes:26,pairs:29,completionMax:99us [09m33s] 16809 ab:aaba=1,abbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16809 ab:aaba=1,abbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16810 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:235,nodes:16,pairs:21,completionMax:56us [09m33s] 16810 ab:aaba=1,abbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16810 ab:aaba=1,abbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16811 solved: rounds:4,rules:2,peak:11,longest:17,steps:27,word:15,work:8963,nodes:62,pairs:28,completionMax:283us [09m33s] 16811 ab:aaba=1,abbaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16811 ab:aaba=1,abbaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16812 solved: rounds:2,rules:2,peak:10,longest:9,steps:14,word:3,work:2110,nodes:36,pairs:35,completionMax:160us [09m33s] 16812 ab:aaba=1,abbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16812 ab:aaba=1,abbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16813 solved: rounds:3,rules:2,peak:10,longest:13,steps:42,word:10,work:3034,nodes:50,pairs:41,completionMax:183us [09m33s] 16813 ab:aaba=1,abbabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16813 ab:aaba=1,abbabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16814 solved: rounds:3,rules:2,peak:10,longest:9,steps:10,word:20,work:2643,nodes:34,pairs:68,completionMax:172us [09m33s] 16814 ab:aaba=1,abbabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16814 ab:aaba=1,abbabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16815 solved: rounds:6,rules:2,peak:13,longest:13,steps:16,word:9,work:6118,nodes:60,pairs:70,completionMax:390us [09m33s] 16815 ab:aaba=1,abbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16815 ab:aaba=1,abbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16816 solved: rounds:5,rules:2,peak:7,longest:7,steps:6,word:1,work:946,nodes:28,pairs:36,completionMax:95us [09m33s] 16816 ab:aaba=1,abbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16816 ab:aaba=1,abbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16817 solved: rounds:4,rules:2,peak:6,longest:9,steps:7,word:5,work:767,nodes:26,pairs:30,completionMax:78us [09m33s] 16817 ab:aaba=1,abbbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16817 ab:aaba=1,abbbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16818 solved: rounds:4,rules:2,peak:10,longest:9,steps:44,word:7,work:4685,nodes:32,pairs:83,completionMax:297us [09m33s] 16818 ab:aaba=1,abbbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16818 ab:aaba=1,abbbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16819 solved: rounds:6,rules:2,peak:10,longest:13,steps:8,word:9,work:2543,nodes:36,pairs:60,completionMax:254us [09m33s] 16819 ab:aaba=1,abbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16819 ab:aaba=1,abbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16820 solved: rounds:6,rules:2,peak:7,longest:9,steps:5,word:5,work:1046,nodes:28,pairs:36,completionMax:113us [09m33s] 16820 ab:aaba=1,abbbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16820 ab:aaba=1,abbbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16821 solved: rounds:5,rules:2,peak:13,longest:20,steps:17,word:18,work:6489,nodes:48,pairs:116,completionMax:548us [09m33s] 16821 ab:aaba=1,abbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16821 ab:aaba=1,abbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16822 solved: rounds:7,rules:2,peak:11,longest:13,steps:10,word:9,work:3695,nodes:42,pairs:73,completionMax:305us [09m33s] 16822 ab:aaba=1,abbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16822 ab:aaba=1,abbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16823 solved: rounds:7,rules:2,peak:12,longest:17,steps:31,word:13,work:5821,nodes:48,pairs:76,completionMax:388us [09m33s] 16823 ab:aaba=1,abbbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16823 ab:aaba=1,abbbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16824 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:474,nodes:26,pairs:30,completionMax:69us [09m33s] 16824 ab:aaba=1,baaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [09m33s] from: 16824 ab:aaba=1,baaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [09m33s] # 16825 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:236,nodes:26,pairs:23,completionMax:45us [09m33s] 16825 ab:aaba=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16825 ab:aaba=1,baaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16826 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:109,nodes:12,pairs:16,completionMax:21us [09m33s] 16826 ab:aaba=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16826 ab:aaba=1,baaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16827 solved: rounds:3,rules:2,peak:6,longest:7,steps:9,word:2,work:893,nodes:32,pairs:20,completionMax:64us [09m33s] 16827 ab:aaba=1,baaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16827 ab:aaba=1,baaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16828 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:108,nodes:12,pairs:16,completionMax:21us [09m33s] 16828 ab:aaba=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16828 ab:aaba=1,baaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16829 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:29,nodes:12,pairs:6,completionMax:10us [09m33s] 16829 ab:aaba=1,baaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16829 ab:aaba=1,baaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16830 solved: rounds:3,rules:2,peak:6,longest:7,steps:6,word:2,work:662,nodes:30,pairs:25,completionMax:64us [09m33s] 16830 ab:aaba=1,baaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16830 ab:aaba=1,baaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16831 solved: rounds:3,rules:2,peak:10,longest:11,steps:7,word:10,work:1809,nodes:40,pairs:27,completionMax:123us [09m33s] 16831 ab:aaba=1,baaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16831 ab:aaba=1,baaabbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16832 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:107,nodes:12,pairs:16,completionMax:20us [09m33s] 16832 ab:aaba=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16832 ab:aaba=1,baabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16833 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:28,nodes:12,pairs:6,completionMax:12us [09m33s] 16833 ab:aaba=1,baabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16833 ab:aaba=1,baabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16834 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:240,nodes:16,pairs:22,completionMax:41us [09m33s] 16834 ab:aaba=1,baababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16834 ab:aaba=1,baababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16835 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1299,nodes:48,pairs:28,completionMax:91us [09m33s] 16835 ab:aaba=1,baababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16835 ab:aaba=1,baababb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16836 solved: rounds:2,rules:2,peak:7,longest:7,steps:7,word:3,work:1193,nodes:34,pairs:37,completionMax:88us [09m33s] 16836 ab:aaba=1,baabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16836 ab:aaba=1,baabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16837 solved: rounds:3,rules:2,peak:11,longest:15,steps:28,word:15,work:4351,nodes:50,pairs:32,completionMax:241us [09m33s] 16837 ab:aaba=1,baabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16837 ab:aaba=1,baabbab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16838 solved: rounds:4,rules:2,peak:6,longest:12,steps:8,word:10,work:1053,nodes:32,pairs:26,completionMax:120us [09m33s] 16838 ab:aaba=1,baabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16838 ab:aaba=1,baabbba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16839 solved: rounds:5,rules:2,peak:9,longest:13,steps:9,word:9,work:1847,nodes:32,pairs:28,completionMax:140us [09m33s] 16839 ab:aaba=1,baabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16839 ab:aaba=1,baabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16840 solved: rounds:2,rules:2,peak:6,longest:7,steps:8,word:0,work:345,nodes:26,pairs:26,completionMax:46us [09m33s] 16840 ab:aaba=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16840 ab:aaba=1,babaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16841 solved: rounds:3,rules:2,peak:5,longest:7,steps:6,word:2,work:324,nodes:20,pairs:17,completionMax:41us [09m33s] 16841 ab:aaba=1,babaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16841 ab:aaba=1,babaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16842 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:30,nodes:12,pairs:6,completionMax:10us [09m33s] 16842 ab:aaba=1,babaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16842 ab:aaba=1,babaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16843 solved: rounds:4,rules:2,peak:6,longest:12,steps:23,word:10,work:1687,nodes:30,pairs:24,completionMax:132us [09m33s] 16843 ab:aaba=1,babaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16843 ab:aaba=1,babaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16844 solved: rounds:2,rules:2,peak:6,longest:7,steps:10,word:2,work:816,nodes:22,pairs:32,completionMax:104us [09m33s] 16844 ab:aaba=1,bababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16844 ab:aaba=1,bababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16845 solved: rounds:5,rules:2,peak:4,longest:9,steps:5,word:5,work:349,nodes:26,pairs:16,completionMax:59us [09m33s] 16845 ab:aaba=1,bababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16845 ab:aaba=1,bababab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16846 solved: rounds:3,rules:2,peak:8,longest:9,steps:7,word:15,work:1124,nodes:24,pairs:55,completionMax:109us [09m33s] 16846 ab:aaba=1,bababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16846 ab:aaba=1,bababba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16847 solved: rounds:4,rules:2,peak:9,longest:13,steps:9,word:18,work:2557,nodes:26,pairs:47,completionMax:162us [09m33s] 16847 ab:aaba=1,bababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16847 ab:aaba=1,bababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16848 solved: rounds:2,rules:2,peak:6,longest:7,steps:15,word:2,work:809,nodes:28,pairs:25,completionMax:60us [09m33s] 16848 ab:aaba=1,babbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16848 ab:aaba=1,babbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16849 solved: rounds:3,rules:2,peak:9,longest:9,steps:6,word:10,work:1236,nodes:26,pairs:58,completionMax:126us [09m33s] 16849 ab:aaba=1,babbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16849 ab:aaba=1,babbaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16850 solved: rounds:3,rules:2,peak:8,longest:9,steps:7,word:15,work:1120,nodes:26,pairs:52,completionMax:141us [09m33s] 16850 ab:aaba=1,babbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16850 ab:aaba=1,babbaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16851 solved: rounds:5,rules:2,peak:7,longest:13,steps:9,word:9,work:1325,nodes:28,pairs:27,completionMax:105us [09m33s] 16851 ab:aaba=1,babbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16851 ab:aaba=1,babbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16852 solved: rounds:5,rules:2,peak:7,longest:9,steps:7,word:5,work:724,nodes:28,pairs:28,completionMax:110us [09m33s] 16852 ab:aaba=1,babbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16852 ab:aaba=1,babbbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16853 solved: rounds:5,rules:2,peak:8,longest:13,steps:8,word:9,work:1491,nodes:26,pairs:30,completionMax:113us [09m33s] 16853 ab:aaba=1,babbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16853 ab:aaba=1,babbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16854 solved: rounds:5,rules:2,peak:8,longest:13,steps:8,word:9,work:1235,nodes:28,pairs:26,completionMax:95us [09m33s] 16854 ab:aaba=1,babbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16854 ab:aaba=1,babbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16855 solved: rounds:6,rules:2,peak:7,longest:17,steps:10,word:13,work:2110,nodes:34,pairs:33,completionMax:132us [09m33s] 16855 ab:aaba=1,babbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16855 ab:aaba=1,babbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16856 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:229,nodes:24,pairs:16,completionMax:49us [09m33s] 16856 ab:aaba=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [09m33s] from: 16856 ab:aaba=1,bbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [09m33s] # 16857 solved: rounds:3,rules:2,peak:9,longest:7,steps:12,word:2,work:920,nodes:28,pairs:23,completionMax:138us [09m33s] 16857 ab:aaba=1,bbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16857 ab:aaba=1,bbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16858 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:242,nodes:16,pairs:22,completionMax:62us [09m33s] 16858 ab:aaba=1,bbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16858 ab:aaba=1,bbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16859 solved: rounds:5,rules:2,peak:7,longest:9,steps:11,word:5,work:1313,nodes:30,pairs:27,completionMax:137us [09m33s] 16859 ab:aaba=1,bbaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16859 ab:aaba=1,bbaaabb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16860 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:2,work:241,nodes:16,pairs:22,completionMax:46us [09m33s] 16860 ab:aaba=1,bbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16860 ab:aaba=1,bbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16861 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1300,nodes:48,pairs:28,completionMax:128us [09m33s] 16861 ab:aaba=1,bbaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16861 ab:aaba=1,bbaabab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16862 solved: rounds:5,rules:2,peak:6,longest:9,steps:6,word:5,work:890,nodes:28,pairs:26,completionMax:84us [09m33s] 16862 ab:aaba=1,bbaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16862 ab:aaba=1,bbaabba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16863 solved: rounds:3,rules:2,peak:14,longest:13,steps:37,word:18,work:20949,nodes:48,pairs:117,completionMax:804us [09m33s] 16863 ab:aaba=1,bbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16863 ab:aaba=1,bbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16864 solved: rounds:5,rules:2,peak:6,longest:7,steps:6,word:1,work:591,nodes:22,pairs:24,completionMax:70us [09m33s] 16864 ab:aaba=1,bbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16864 ab:aaba=1,bbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16865 solved: rounds:4,rules:2,peak:9,longest:9,steps:8,word:5,work:1101,nodes:28,pairs:28,completionMax:111us [09m33s] 16865 ab:aaba=1,bbabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16865 ab:aaba=1,bbabaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16866 solved: rounds:3,rules:2,peak:10,longest:15,steps:48,word:15,work:5365,nodes:50,pairs:27,completionMax:164us [09m33s] 16866 ab:aaba=1,bbababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16866 ab:aaba=1,bbababa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16867 solved: rounds:3,rules:2,peak:14,longest:13,steps:40,word:18,work:23304,nodes:50,pairs:122,completionMax:768us [09m33s] 16867 ab:aaba=1,bbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16867 ab:aaba=1,bbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16868 solved: rounds:5,rules:2,peak:7,longest:9,steps:5,word:5,work:850,nodes:26,pairs:25,completionMax:90us [09m33s] 16868 ab:aaba=1,bbabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16868 ab:aaba=1,bbabbaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16869 solved: rounds:7,rules:2,peak:5,longest:13,steps:8,word:9,work:1049,nodes:26,pairs:19,completionMax:62us [09m33s] 16869 ab:aaba=1,bbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16869 ab:aaba=1,bbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16870 solved: rounds:4,rules:2,peak:11,longest:14,steps:16,word:10,work:5821,nodes:48,pairs:70,completionMax:328us [09m33s] 16870 ab:aaba=1,bbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16870 ab:aaba=1,bbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16871 solved: rounds:8,rules:2,peak:10,longest:17,steps:10,word:13,work:6302,nodes:54,pairs:77,completionMax:363us [09m33s] 16871 ab:aaba=1,bbabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16871 ab:aaba=1,bbabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16872 solved: rounds:5,rules:2,peak:6,longest:7,steps:7,word:1,work:733,nodes:22,pairs:23,completionMax:81us [09m33s] 16872 ab:aaba=1,bbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [09m33s] from: 16872 ab:aaba=1,bbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [09m33s] # 16873 solved: rounds:3,rules:2,peak:7,longest:9,steps:7,word:15,work:897,nodes:26,pairs:39,completionMax:114us [09m33s] 16873 ab:aaba=1,bbbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16873 ab:aaba=1,bbbaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16874 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1301,nodes:48,pairs:28,completionMax:144us [09m33s] 16874 ab:aaba=1,bbbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16874 ab:aaba=1,bbbaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16875 solved: rounds:6,rules:2,peak:8,longest:13,steps:8,word:9,work:1713,nodes:32,pairs:27,completionMax:168us [09m33s] 16875 ab:aaba=1,bbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16875 ab:aaba=1,bbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16876 solved: rounds:6,rules:2,peak:6,longest:9,steps:5,word:5,work:698,nodes:24,pairs:27,completionMax:102us [09m33s] 16876 ab:aaba=1,bbbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16876 ab:aaba=1,bbbabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16877 solved: rounds:6,rules:2,peak:8,longest:13,steps:8,word:9,work:1636,nodes:28,pairs:36,completionMax:181us [09m33s] 16877 ab:aaba=1,bbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16877 ab:aaba=1,bbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16878 solved: rounds:6,rules:2,peak:10,longest:13,steps:15,word:9,work:3349,nodes:42,pairs:55,completionMax:251us [09m33s] 16878 ab:aaba=1,bbbabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16878 ab:aaba=1,bbbabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16879 solved: rounds:8,rules:2,peak:8,longest:17,steps:10,word:13,work:3882,nodes:34,pairs:41,completionMax:212us [09m33s] 16879 ab:aaba=1,bbbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16879 ab:aaba=1,bbbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16880 solved: rounds:6,rules:2,peak:6,longest:9,steps:4,word:5,work:572,nodes:22,pairs:23,completionMax:70us [09m33s] 16880 ab:aaba=1,bbbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [09m33s] from: 16880 ab:aaba=1,bbbbaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [09m33s] # 16881 solved: rounds:5,rules:2,peak:6,longest:13,steps:10,word:9,work:1101,nodes:26,pairs:27,completionMax:106us [09m33s] 16881 ab:aaba=1,bbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16881 ab:aaba=1,bbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16882 solved: rounds:6,rules:2,peak:9,longest:13,steps:15,word:9,work:1971,nodes:34,pairs:30,completionMax:142us [09m33s] 16882 ab:aaba=1,bbbbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16882 ab:aaba=1,bbbbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16883 solved: rounds:7,rules:2,peak:10,longest:17,steps:26,word:13,work:7769,nodes:44,pairs:60,completionMax:352us [09m33s] 16883 ab:aaba=1,bbbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16883 ab:aaba=1,bbbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16884 solved: rounds:6,rules:2,peak:6,longest:13,steps:8,word:9,work:1001,nodes:26,pairs:29,completionMax:81us [09m33s] 16884 ab:aaba=1,bbbbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [09m33s] from: 16884 ab:aaba=1,bbbbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [09m33s] # 16885 solved: rounds:7,rules:2,peak:10,longest:17,steps:20,word:13,work:3975,nodes:42,pairs:40,completionMax:228us [09m33s] 16885 ab:aaba=1,bbbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16885 ab:aaba=1,bbbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16886 solved: rounds:8,rules:2,peak:6,longest:17,steps:10,word:13,work:2733,nodes:34,pairs:48,completionMax:196us [09m33s] 16886 ab:aaba=1,bbbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [09m33s] from: 16886 ab:aaba=1,bbbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [09m33s] # 16887 solved: rounds:9,rules:2,peak:8,longest:21,steps:12,word:17,work:3695,nodes:42,pairs:25,completionMax:311us [09m33s] 16887 ab:aaba=1,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a18;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaaaa [09m33s] from: 16887 ab:aaba=1,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a18;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=b,b=bbbbbbbbbbbbbbbbbb [09m33s] # 16888 solved: rounds:4,rules:2,peak:6,longest:28,steps:23,word:20,work:3083,nodes:66,pairs:25,completionMax:166us [09m33s] 16888 ab:aabb=1,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 16888 ab:aabb=1,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbb,b=b [09m33s] # 16889 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:3,work:20,nodes:20,pairs:3,completionMax:12us [09m33s] 16889 ab:aabb=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16889 ab:aabb=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16890 solved: rounds:4,rules:2,peak:9,longest:13,steps:7,word:6,work:2684,nodes:48,pairs:58,completionMax:268us [09m33s] 16890 ab:aabb=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16890 ab:aabb=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16891 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:58,nodes:12,pairs:7,completionMax:11us [09m33s] 16891 ab:aabb=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16891 ab:aabb=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16892 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:6,work:1272,nodes:32,pairs:42,completionMax:103us [09m33s] 16892 ab:aabb=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16892 ab:aabb=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16893 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 16893 ab:aabb=1,aaaabab=1 infinite ab - - ab:aabb=1,aaaabab=1 [09m33s] # 16894 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:57,nodes:12,pairs:7,completionMax:11us [09m33s] 16894 ab:aabb=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16894 ab:aabb=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16895 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:2,completionMax:4us [09m33s] 16895 ab:aabb=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16895 ab:aabb=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16896 solved: rounds:2,rules:2,peak:5,longest:10,steps:5,word:3,work:727,nodes:28,pairs:19,completionMax:58us [09m33s] 16896 ab:aabb=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16896 ab:aabb=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16897 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:3,work:87,nodes:20,pairs:3,completionMax:15us [09m33s] 16897 ab:aabb=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16897 ab:aabb=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16898 solved: rounds:4,rules:2,peak:8,longest:7,steps:5,word:2,work:1452,nodes:32,pairs:63,completionMax:219us [09m33s] 16898 ab:aabb=1,aaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16898 ab:aabb=1,aaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16899 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [09m33s] 16899 ab:aabb=1,aaababb=1 infinite ab - - ab:aabb=1,aaababb=1 [09m33s] # 16900 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:56,nodes:12,pairs:7,completionMax:19us [09m33s] 16900 ab:aabb=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16900 ab:aabb=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16901 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:5,nodes:8,pairs:2,completionMax:5us [09m33s] 16901 ab:aabb=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16901 ab:aabb=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16902 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:69,nodes:12,pairs:9,completionMax:16us [09m33s] 16902 ab:aabb=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16902 ab:aabb=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16903 solved: rounds:2,rules:2,peak:5,longest:10,steps:5,word:6,work:957,nodes:34,pairs:23,completionMax:87us [09m33s] 16903 ab:aabb=1,aabaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16903 ab:aabb=1,aabaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16904 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:3,work:199,nodes:20,pairs:11,completionMax:43us [09m33s] 16904 ab:aabb=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16904 ab:aabb=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16905 solved: rounds:2,rules:2,peak:8,longest:9,steps:7,word:2,work:1240,nodes:32,pairs:28,completionMax:113us [09m33s] 16905 ab:aabb=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16905 ab:aabb=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16906 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:6us [09m33s] 16906 ab:aabb=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16906 ab:aabb=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16907 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:3,work:495,nodes:24,pairs:26,completionMax:86us [09m33s] 16907 ab:aabb=1,aababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16907 ab:aabb=1,aababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16908 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [09m33s] 16908 ab:aabb=1,aababab=1 infinite ab - - ab:aabb=1,aababab=1 [09m33s] # 16909 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:561,nodes:26,pairs:24,completionMax:67us [09m33s] 16909 ab:aabb=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16909 ab:aabb=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16910 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:55,nodes:12,pairs:7,completionMax:14us [09m33s] 16910 ab:aabb=1,aabbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16910 ab:aabb=1,aabbaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16911 solved: rounds:2,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:2,completionMax:6us [09m33s] 16911 ab:aabb=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16911 ab:aabb=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16912 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:68,nodes:12,pairs:9,completionMax:23us [09m33s] 16912 ab:aabb=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16912 ab:aabb=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16913 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:159,nodes:12,pairs:13,completionMax:23us [09m33s] 16913 ab:aabb=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16913 ab:aabb=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16914 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:99,nodes:12,pairs:8,completionMax:17us [09m33s] 16914 ab:aabb=1,aabbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16914 ab:aabb=1,aabbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16915 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:119,nodes:14,pairs:14,completionMax:20us [09m33s] 16915 ab:aabb=1,aabbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16915 ab:aabb=1,aabbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16916 solved: rounds:3,rules:2,peak:10,longest:17,steps:6,word:13,work:4312,nodes:60,pairs:26,completionMax:207us [09m33s] 16916 ab:aabb=1,abaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16916 ab:aabb=1,abaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16917 solved: rounds:2,rules:2,peak:8,longest:7,steps:6,word:3,work:698,nodes:26,pairs:14,completionMax:77us [09m33s] 16917 ab:aabb=1,abaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16917 ab:aabb=1,abaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16918 solved: rounds:3,rules:2,peak:12,longest:11,steps:16,word:5,work:2974,nodes:50,pairs:66,completionMax:269us [09m33s] 16918 ab:aabb=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16918 ab:aabb=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16919 solved: rounds:2,rules:2,peak:7,longest:7,steps:8,word:3,work:638,nodes:26,pairs:18,completionMax:92us [09m33s] 16919 ab:aabb=1,abaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16919 ab:aabb=1,abaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16920 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:0,work:533,nodes:26,pairs:18,completionMax:58us [09m33s] 16920 ab:aabb=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16920 ab:aabb=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16921 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:70,nodes:12,pairs:9,completionMax:23us [09m33s] 16921 ab:aabb=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16921 ab:aabb=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16922 solved: rounds:3,rules:2,peak:10,longest:14,steps:6,word:9,work:1995,nodes:48,pairs:32,completionMax:168us [09m33s] 16922 ab:aabb=1,ababaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16922 ab:aabb=1,ababaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16923 solved: rounds:2,rules:2,peak:10,longest:7,steps:3,word:0,work:379,nodes:22,pairs:13,completionMax:53us [09m33s] 16923 ab:aabb=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16923 ab:aabb=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16924 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:203,nodes:20,pairs:17,completionMax:35us [09m33s] 16924 ab:aabb=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16924 ab:aabb=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16925 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:239,nodes:22,pairs:17,completionMax:34us [09m33s] 16925 ab:aabb=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16925 ab:aabb=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16926 solved: rounds:3,rules:2,peak:9,longest:7,steps:5,word:0,work:1273,nodes:42,pairs:56,completionMax:115us [09m33s] 16926 ab:aabb=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16926 ab:aabb=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16927 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:3,work:581,nodes:24,pairs:20,completionMax:64us [09m33s] 16927 ab:aabb=1,abbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16927 ab:aabb=1,abbaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16928 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:121,nodes:20,pairs:14,completionMax:33us [09m33s] 16928 ab:aabb=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16928 ab:aabb=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16929 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:459,nodes:22,pairs:26,completionMax:60us [09m33s] 16929 ab:aabb=1,abbaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16929 ab:aabb=1,abbaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16930 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:558,nodes:24,pairs:35,completionMax:70us [09m33s] 16930 ab:aabb=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16930 ab:aabb=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16931 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:167,nodes:24,pairs:13,completionMax:25us [09m33s] 16931 ab:aabb=1,abbabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16931 ab:aabb=1,abbabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16932 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:438,nodes:26,pairs:24,completionMax:69us [09m33s] 16932 ab:aabb=1,abbbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16932 ab:aabb=1,abbbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16933 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:600,nodes:26,pairs:30,completionMax:63us [09m33s] 16933 ab:aabb=1,abbbaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16933 ab:aabb=1,abbbaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16934 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:346,nodes:24,pairs:18,completionMax:44us [09m33s] 16934 ab:aabb=1,abbbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16934 ab:aabb=1,abbbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16935 solved: rounds:3,rules:2,peak:6,longest:7,steps:8,word:3,work:670,nodes:24,pairs:24,completionMax:71us [09m33s] 16935 ab:aabb=1,abbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 16935 ab:aabb=1,abbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 16936 solved: rounds:2,rules:2,peak:6,longest:10,steps:4,word:3,work:451,nodes:40,pairs:15,completionMax:65us [09m33s] 16936 ab:aabb=1,baaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16936 ab:aabb=1,baaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16937 solved: rounds:3,rules:2,peak:14,longest:12,steps:7,word:9,work:3455,nodes:52,pairs:59,completionMax:259us [09m33s] 16937 ab:aabb=1,baaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16937 ab:aabb=1,baaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16938 solved: rounds:2,rules:2,peak:8,longest:7,steps:19,word:3,work:1851,nodes:36,pairs:29,completionMax:129us [09m33s] 16938 ab:aabb=1,baaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16938 ab:aabb=1,baaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16939 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:161,nodes:12,pairs:13,completionMax:24us [09m33s] 16939 ab:aabb=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16939 ab:aabb=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16940 solved: rounds:3,rules:2,peak:9,longest:7,steps:9,word:2,work:1150,nodes:36,pairs:43,completionMax:133us [09m33s] 16940 ab:aabb=1,baabaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16940 ab:aabb=1,baabaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16941 solved: rounds:2,rules:2,peak:11,longest:7,steps:4,word:0,work:977,nodes:32,pairs:26,completionMax:118us [09m33s] 16941 ab:aabb=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16941 ab:aabb=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16942 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:160,nodes:12,pairs:13,completionMax:34us [09m33s] 16942 ab:aabb=1,baabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16942 ab:aabb=1,baabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16943 solved: rounds:3,rules:2,peak:8,longest:7,steps:6,word:3,work:1037,nodes:34,pairs:31,completionMax:76us [09m33s] 16943 ab:aabb=1,babaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16943 ab:aabb=1,babaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16944 solved: rounds:2,rules:2,peak:10,longest:7,steps:5,word:0,work:811,nodes:34,pairs:27,completionMax:75us [09m33s] 16944 ab:aabb=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16944 ab:aabb=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16945 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:481,nodes:30,pairs:19,completionMax:43us [09m33s] 16945 ab:aabb=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16945 ab:aabb=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16946 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:399,nodes:30,pairs:22,completionMax:35us [09m33s] 16946 ab:aabb=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16946 ab:aabb=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16947 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:507,nodes:30,pairs:31,completionMax:48us [09m33s] 16947 ab:aabb=1,babbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16947 ab:aabb=1,babbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16948 solved: rounds:2,rules:2,peak:6,longest:7,steps:16,word:3,work:1009,nodes:26,pairs:21,completionMax:83us [09m33s] 16948 ab:aabb=1,bbaaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16948 ab:aabb=1,bbaaaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16949 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:518,nodes:24,pairs:26,completionMax:57us [09m33s] 16949 ab:aabb=1,bbaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16949 ab:aabb=1,bbaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16950 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:551,nodes:28,pairs:28,completionMax:74us [09m33s] 16950 ab:aabb=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16950 ab:aabb=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16951 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:344,nodes:26,pairs:19,completionMax:64us [09m33s] 16951 ab:aabb=1,bbbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16951 ab:aabb=1,bbbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16952 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:38,nodes:22,pairs:1,completionMax:16us [09m33s] 16952 ab:abab=1,aaaaaaa=1 infinite;group:a-aaaaaa,b-aba a/b - - ab:aaaaaaa=1,bab=aaaaaa [09m33s] # 16953 solved: rounds:3,rules:2,peak:3,longest:10,steps:1,word:3,work:29,nodes:20,pairs:4,completionMax:22us [09m33s] 16953 ab:abab=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16953 ab:abab=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16954 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:6,work:53,nodes:20,pairs:6,completionMax:23us [09m33s] 16954 ab:abab=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16954 ab:abab=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16955 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:2us [09m33s] 16955 ab:abab=1,aaaaabb=1 infinite ab - - ab:abab=1,aaaaabb=1 [09m33s] # 16956 solved: rounds:3,rules:2,peak:11,longest:11,steps:10,word:6,work:6982,nodes:68,pairs:91,completionMax:429us [09m33s] 16956 ab:abab=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16956 ab:abab=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16957 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:14,pairs:1,completionMax:10us [09m33s] 16957 ab:abab=1,aaaabab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 16957 ab:abab=1,aaaabab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 16958 solved: rounds:4,rules:3,peak:14,longest:17,steps:31,word:20,work:12472,nodes:94,pairs:87,completionMax:676us [09m33s] 16958 ab:abab=1,aaaabba=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [09m33s] from: 16958 ab:abab=1,aaaabba=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [09m33s] # 16959 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:2us [09m33s] 16959 ab:abab=1,aaaabbb=1 infinite ab - - ab:abab=1,aaaabbb=1 [09m33s] # 16960 solved: rounds:3,rules:2,peak:8,longest:12,steps:4,word:6,work:1497,nodes:42,pairs:29,completionMax:106us [09m33s] 16960 ab:abab=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16960 ab:abab=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16961 solved: rounds:4,rules:2,peak:4,longest:7,steps:5,word:2,work:222,nodes:18,pairs:10,completionMax:27us [09m33s] 16961 ab:abab=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16961 ab:abab=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16962 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:14,pairs:1,completionMax:7us [09m33s] 16962 ab:abab=1,aaababa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 16962 ab:abab=1,aaababa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 16963 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:10,pairs:4,completionMax:12us [09m33s] 16963 ab:abab=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16963 ab:abab=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16964 solved: rounds:4,rules:3,peak:13,longest:53,steps:32,word:33,work:35530,nodes:186,pairs:167,completionMax:1660us [09m33s] 16964 ab:abab=1,aaabbaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [09m33s] from: 16964 ab:abab=1,aaabbaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [09m33s] # 16965 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:4,nodes:18,pairs:1,completionMax:6us [09m33s] 16965 ab:abab=1,aaabbab=1 infinite ab - - ab:abab=1,aaabb=ab [09m33s] # 16966 solved: rounds:6,rules:6,peak:21,longest:13,steps:11,word:12,work:20082,nodes:100,pairs:187,completionMax:1162us [09m33s] 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a/b - - ab:aaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaa,baab=aaabaaaaaaa,abaaab=baaabaaa [09m33s] # 16967 solved: rounds:3,rules:2,peak:11,longest:15,steps:11,word:16,work:3199,nodes:54,pairs:33,completionMax:260us [09m33s] 16967 ab:abab=1,aabaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16967 ab:abab=1,aabaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16968 solved: rounds:3,rules:2,peak:7,longest:8,steps:5,word:4,work:744,nodes:30,pairs:15,completionMax:65us [09m33s] 16968 ab:abab=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16968 ab:abab=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16969 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:3,work:545,nodes:24,pairs:19,completionMax:61us [09m33s] 16969 ab:abab=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16969 ab:abab=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16970 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:18,pairs:0,completionMax:2us [09m33s] 16970 ab:abab=1,aabaabb=1 infinite ab - - ab:abab=1,aabaabb=1 [09m33s] # 16971 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:14,pairs:1,completionMax:9us [09m33s] 16971 ab:abab=1,aababaa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 16971 ab:abab=1,aababaa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 16972 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:14,nodes:10,pairs:4,completionMax:10us [09m33s] 16972 ab:abab=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16972 ab:abab=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16973 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:5,completionMax:10us [09m33s] 16973 ab:abab=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16973 ab:abab=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16974 solved: rounds:3,rules:3,peak:10,longest:60,steps:63,word:53,work:24617,nodes:146,pairs:56,completionMax:566us [09m33s] 16974 ab:abab=1,aabbaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [09m33s] from: 16974 ab:abab=1,aabbaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [09m33s] # 16975 solved: rounds:3,rules:3,peak:8,longest:7,steps:4,word:2,work:553,nodes:30,pairs:17,completionMax:66us [09m33s] 16975 ab:abab=1,aabbaab=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 16975 ab:abab=1,aabbaab=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 16976 solved: rounds:2,rules:2,peak:8,longest:7,steps:4,word:0,work:384,nodes:24,pairs:13,completionMax:46us [09m33s] 16976 ab:abab=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16976 ab:abab=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16977 solved: rounds:5,rules:6,peak:24,longest:12,steps:7,word:12,work:19226,nodes:100,pairs:120,completionMax:981us [09m33s] 16977 ab:abab=1,aabbbaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a/b - - ab:aaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaa,baab=aaabaaaaaaa,abaaab=baaabaaa [09m33s] from: 16977 ab:abab=1,aabbbaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=a,b=b [09m33s] # 16978 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:4,nodes:18,pairs:1,completionMax:6us [09m33s] 16978 ab:abab=1,aabbbab=1 infinite ab - - ab:abab=1,aabbb=ab [09m33s] # 16979 solved: rounds:5,rules:6,peak:18,longest:14,steps:8,word:12,work:12601,nodes:94,pairs:112,completionMax:850us [09m33s] 16979 ab:abab=1,aabbbba=1 finite:48;center:1,bbbb;group:a-bab,b-bbbbbbb b/a - - ab:bbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbb,abba=bbbabbbbbbb,babbba=abbbabbb [09m33s] from: 16979 ab:abab=1,aabbbba=1 finite:48;center:1,bbbb;group:a-bab,b-bbbbbbb to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=b,b=a [09m33s] # 16980 solved: rounds:2,rules:2,peak:4,longest:10,steps:2,word:6,work:215,nodes:30,pairs:11,completionMax:46us [09m33s] 16980 ab:abab=1,abaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 16980 ab:abab=1,abaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 16981 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:0,work:223,nodes:20,pairs:14,completionMax:34us [09m33s] 16981 ab:abab=1,abaaaab=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 16981 ab:abab=1,abaaaab=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 16982 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:2,work:306,nodes:22,pairs:22,completionMax:41us [09m33s] 16982 ab:abab=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16982 ab:abab=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16983 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:2,work:623,nodes:24,pairs:26,completionMax:56us [09m33s] 16983 ab:abab=1,abaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 16983 ab:abab=1,abaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 16984 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:8,pairs:5,completionMax:7us [09m33s] 16984 ab:abab=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16984 ab:abab=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16985 solved: rounds:2,rules:3,peak:7,longest:7,steps:5,word:3,work:376,nodes:22,pairs:12,completionMax:35us [09m33s] 16985 ab:abab=1,abaabba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 16985 ab:abab=1,abaabba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 16986 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:14,pairs:1,completionMax:8us [09m33s] 16986 ab:abab=1,ababaaa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 16986 ab:abab=1,ababaaa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 16987 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:13,nodes:10,pairs:4,completionMax:12us [09m33s] 16987 ab:abab=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16987 ab:abab=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16988 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:5,completionMax:11us [09m33s] 16988 ab:abab=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16988 ab:abab=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16989 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:94,nodes:12,pairs:12,completionMax:20us [09m33s] 16989 ab:abab=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16989 ab:abab=1,ababbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16990 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:96,nodes:14,pairs:12,completionMax:35us [09m33s] 16990 ab:abab=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16990 ab:abab=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16991 solved: rounds:3,rules:3,peak:5,longest:21,steps:25,word:63,work:3046,nodes:70,pairs:20,completionMax:147us [09m33s] 16991 ab:abab=1,abbaaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [09m33s] from: 16991 ab:abab=1,abbaaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [09m33s] # 16992 solved: rounds:3,rules:2,peak:10,longest:7,steps:4,word:0,work:624,nodes:24,pairs:29,completionMax:101us [09m33s] 16992 ab:abab=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16992 ab:abab=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16993 solved: rounds:2,rules:3,peak:8,longest:7,steps:5,word:3,work:493,nodes:28,pairs:18,completionMax:57us [09m33s] 16993 ab:abab=1,abbaaba=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 16993 ab:abab=1,abbaaba=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 16994 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:0,work:490,nodes:24,pairs:44,completionMax:72us [09m33s] 16994 ab:abab=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 16994 ab:abab=1,abbabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 16995 solved: rounds:3,rules:3,peak:9,longest:7,steps:5,word:1,work:718,nodes:24,pairs:22,completionMax:90us [09m33s] 16995 ab:abab=1,abbabba=1 finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [09m33s] from: 16995 ab:abab=1,abbabba=1 finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [09m33s] # 16996 solved: rounds:5,rules:6,peak:25,longest:13,steps:9,word:12,work:18444,nodes:110,pairs:122,completionMax:1065us [09m33s] 16996 ab:abab=1,abbbaaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a/b - - ab:aaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaa,baab=aaabaaaaaaa,abaaab=baaabaaa [09m33s] from: 16996 ab:abab=1,abbbaaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=a,b=b [09m33s] # 16997 solved: rounds:4,rules:2,peak:8,longest:7,steps:5,word:0,work:537,nodes:24,pairs:53,completionMax:122us [09m33s] 16997 ab:abab=1,abbbaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 16997 ab:abab=1,abbbaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 16998 solved: rounds:5,rules:6,peak:21,longest:11,steps:8,word:12,work:12380,nodes:72,pairs:123,completionMax:1001us [09m33s] 16998 ab:abab=1,abbbbaa=1 finite:48;center:1,bbbb;group:a-bab,b-bbbbbbb b/a - - ab:bbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbb,abba=bbbabbbbbbb,babbba=abbbabbb [09m33s] from: 16998 ab:abab=1,abbbbaa=1 finite:48;center:1,bbbb;group:a-bab,b-bbbbbbb to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=b,b=a [09m33s] # 16999 solved: rounds:4,rules:3,peak:10,longest:18,steps:18,word:20,work:4503,nodes:88,pairs:31,completionMax:334us [09m33s] 16999 ab:abab=1,abbbbba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbb,aa=bbbbbbbbbb [09m33s] from: 16999 ab:abab=1,abbbbba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=a,b=b [09m33s] # 17000 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:6,work:240,nodes:34,pairs:12,completionMax:72us [09m33s] 17000 ab:abab=1,baaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 17000 ab:abab=1,baaaaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 17001 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:123,nodes:26,pairs:15,completionMax:41us [09m33s] 17001 ab:abab=1,baaaaba=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 17001 ab:abab=1,baaaaba=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 17002 solved: rounds:3,rules:2,peak:9,longest:8,steps:28,word:4,work:2576,nodes:38,pairs:34,completionMax:174us [09m33s] 17002 ab:abab=1,baaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17002 ab:abab=1,baaabaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17003 solved: rounds:3,rules:2,peak:12,longest:7,steps:3,word:0,work:1086,nodes:38,pairs:72,completionMax:199us [09m33s] 17003 ab:abab=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17003 ab:abab=1,baaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17004 solved: rounds:5,rules:2,peak:12,longest:7,steps:10,word:2,work:3896,nodes:34,pairs:66,completionMax:299us [09m33s] 17004 ab:abab=1,baabaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17004 ab:abab=1,baabaaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17005 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:96,nodes:12,pairs:12,completionMax:32us [09m33s] 17005 ab:abab=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17005 ab:abab=1,baababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17006 solved: rounds:3,rules:3,peak:12,longest:7,steps:20,word:5,work:3768,nodes:38,pairs:62,completionMax:287us [09m33s] 17006 ab:abab=1,baabbaa=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 17006 ab:abab=1,baabbaa=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 17007 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:170,nodes:24,pairs:12,completionMax:34us [09m33s] 17007 ab:abab=1,babaaaa=1 infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [09m33s] from: 17007 ab:abab=1,babaaaa=1 infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [09m33s] # 17008 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:162,nodes:24,pairs:19,completionMax:39us [09m33s] 17008 ab:abab=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17008 ab:abab=1,babaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17009 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:95,nodes:12,pairs:12,completionMax:35us [09m33s] 17009 ab:abab=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17009 ab:abab=1,bababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17010 solved: rounds:3,rules:2,peak:9,longest:7,steps:6,word:0,work:518,nodes:22,pairs:30,completionMax:80us [09m33s] 17010 ab:abab=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17010 ab:abab=1,babbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17011 solved: rounds:3,rules:2,peak:9,longest:7,steps:3,word:0,work:573,nodes:24,pairs:46,completionMax:91us [09m33s] 17011 ab:abab=1,babbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17011 ab:abab=1,babbbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17012 solved: rounds:3,rules:3,peak:8,longest:16,steps:19,word:17,work:2930,nodes:82,pairs:25,completionMax:223us [09m33s] 17012 ab:abab=1,bbaaaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [09m33s] from: 17012 ab:abab=1,bbaaaaa=1 finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [09m33s] # 17013 solved: rounds:3,rules:3,peak:9,longest:7,steps:6,word:2,work:926,nodes:38,pairs:52,completionMax:163us [09m33s] 17013 ab:abab=1,bbaabaa=1 finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [09m33s] from: 17013 ab:abab=1,bbaabaa=1 finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [09m33s] # 17014 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:0,work:249,nodes:30,pairs:23,completionMax:43us [09m33s] 17014 ab:abab=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17014 ab:abab=1,bbabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17015 solved: rounds:5,rules:6,peak:30,longest:13,steps:12,word:11,work:41316,nodes:122,pairs:296,completionMax:3110us [09m33s] 17015 ab:abab=1,bbbaaaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a/b - - ab:aaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaa,baab=aaabaaaaaaa,abaaab=baaabaaa [09m33s] from: 17015 ab:abab=1,bbbaaaa=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=a,b=b [09m33s] # 17016 solved: rounds:4,rules:2,peak:6,longest:14,steps:18,word:10,work:2620,nodes:68,pairs:30,completionMax:172us [09m33s] 17016 ab:abba=1,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbb [09m33s] from: 17016 ab:abba=1,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbb,b=b [09m33s] # 17017 solved: rounds:2,rules:2,peak:5,longest:10,steps:2,word:6,work:308,nodes:24,pairs:15,completionMax:81us [09m33s] 17017 ab:abba=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 17017 ab:abba=1,aaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 17018 solved: rounds:4,rules:2,peak:9,longest:10,steps:5,word:6,work:2047,nodes:36,pairs:59,completionMax:519us [09m33s] 17018 ab:abba=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 17018 ab:abba=1,aaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 17019 solved: rounds:3,rules:2,peak:6,longest:8,steps:7,word:3,work:552,nodes:28,pairs:16,completionMax:98us [09m33s] 17019 ab:abba=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17019 ab:abba=1,aaaaabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17020 solved: rounds:3,rules:2,peak:10,longest:17,steps:6,word:6,work:3935,nodes:54,pairs:51,completionMax:333us [09m33s] 17020 ab:abba=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 17020 ab:abba=1,aaaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 17021 solved: rounds:3,rules:2,peak:10,longest:7,steps:5,word:2,work:983,nodes:32,pairs:59,completionMax:162us [09m33s] 17021 ab:abba=1,aaaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17021 ab:abba=1,aaaabab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17022 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:119,nodes:14,pairs:11,completionMax:31us [09m33s] 17022 ab:abba=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17022 ab:abba=1,aaaabba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17023 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:287,nodes:26,pairs:18,completionMax:55us [09m33s] 17023 ab:abba=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17023 ab:abba=1,aaaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17024 solved: rounds:3,rules:2,peak:8,longest:17,steps:8,word:6,work:3044,nodes:54,pairs:30,completionMax:226us [09m33s] 17024 ab:abba=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [09m33s] from: 17024 ab:abba=1,aaabaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [09m33s] # 17025 solved: rounds:3,rules:2,peak:9,longest:8,steps:19,word:4,work:1438,nodes:40,pairs:22,completionMax:115us [09m33s] 17025 ab:abba=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17025 ab:abba=1,aaabaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17026 solved: rounds:4,rules:2,peak:10,longest:7,steps:8,word:3,work:1748,nodes:30,pairs:51,completionMax:146us [09m33s] 17026 ab:abba=1,aaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17026 ab:abba=1,aaababa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17027 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:0,work:246,nodes:28,pairs:18,completionMax:35us [09m33s] 17027 ab:abba=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17027 ab:abba=1,aaababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17028 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:118,nodes:14,pairs:11,completionMax:22us [09m33s] 17028 ab:abba=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17028 ab:abba=1,aaabbaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17029 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:76,nodes:12,pairs:13,completionMax:24us [09m33s] 17029 ab:abba=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17029 ab:abba=1,aaabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17030 solved: rounds:3,rules:2,peak:5,longest:7,steps:4,word:0,work:310,nodes:28,pairs:20,completionMax:44us [09m33s] 17030 ab:abba=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17030 ab:abba=1,aaabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17031 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:175,nodes:28,pairs:11,completionMax:27us [09m33s] 17031 ab:abba=1,aaabbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17031 ab:abba=1,aaabbbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17032 solved: rounds:3,rules:2,peak:9,longest:8,steps:9,word:4,work:1567,nodes:38,pairs:33,completionMax:116us [09m33s] 17032 ab:abba=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17032 ab:abba=1,aabaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17033 solved: rounds:2,rules:2,peak:6,longest:7,steps:8,word:2,work:670,nodes:28,pairs:22,completionMax:60us [09m33s] 17033 ab:abba=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17033 ab:abba=1,aabaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17034 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:291,nodes:28,pairs:23,completionMax:51us [09m33s] 17034 ab:abba=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17034 ab:abba=1,aabaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17035 solved: rounds:3,rules:2,peak:11,longest:7,steps:12,word:4,work:2227,nodes:42,pairs:85,completionMax:261us [09m33s] 17035 ab:abba=1,aababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17035 ab:abba=1,aababaa=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17036 solved: rounds:2,rules:2,peak:8,longest:7,steps:6,word:0,work:441,nodes:28,pairs:21,completionMax:87us [09m33s] 17036 ab:abba=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17036 ab:abba=1,aababab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17037 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:77,nodes:12,pairs:13,completionMax:22us [09m33s] 17037 ab:abba=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17037 ab:abba=1,aababba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17038 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:271,nodes:28,pairs:21,completionMax:51us [09m33s] 17038 ab:abba=1,aababbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17038 ab:abba=1,aababbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17039 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:75,nodes:12,pairs:13,completionMax:25us [09m33s] 17039 ab:abba=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17039 ab:abba=1,aabbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17040 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:103,nodes:10,pairs:11,completionMax:20us [09m33s] 17040 ab:abba=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17040 ab:abba=1,aabbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17041 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:8,pairs:3,completionMax:9us [09m33s] 17041 ab:abba=1,aabbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17041 ab:abba=1,aabbabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17042 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:0,work:458,nodes:28,pairs:27,completionMax:82us [09m33s] 17042 ab:abba=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17042 ab:abba=1,aabbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17043 solved: rounds:3,rules:2,peak:12,longest:7,steps:3,word:0,work:996,nodes:32,pairs:116,completionMax:307us [09m33s] 17043 ab:abba=1,aabbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17043 ab:abba=1,aabbbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17044 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:316,nodes:24,pairs:14,completionMax:32us [09m33s] 17044 ab:abba=1,aabbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17044 ab:abba=1,aabbbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17045 solved: rounds:2,rules:2,peak:7,longest:9,steps:14,word:4,work:1096,nodes:32,pairs:14,completionMax:78us [09m33s] 17045 ab:abba=1,aabbbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17045 ab:abba=1,aabbbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17046 solved: rounds:3,rules:2,peak:9,longest:7,steps:9,word:4,work:1267,nodes:30,pairs:52,completionMax:129us [09m33s] 17046 ab:abba=1,abaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17046 ab:abba=1,abaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17047 solved: rounds:2,rules:2,peak:11,longest:8,steps:21,word:3,work:2450,nodes:46,pairs:36,completionMax:176us [09m33s] 17047 ab:abba=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17047 ab:abba=1,abaaaba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17048 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:366,nodes:28,pairs:33,completionMax:62us [09m33s] 17048 ab:abba=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17048 ab:abba=1,abaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17049 solved: rounds:2,rules:2,peak:13,longest:7,steps:3,word:0,work:782,nodes:26,pairs:21,completionMax:97us [09m33s] 17049 ab:abba=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17049 ab:abba=1,abaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17050 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:105,nodes:10,pairs:11,completionMax:30us [09m33s] 17050 ab:abba=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17050 ab:abba=1,abaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17051 solved: rounds:2,rules:2,peak:9,longest:7,steps:5,word:0,work:498,nodes:28,pairs:12,completionMax:72us [09m33s] 17051 ab:abba=1,abaabbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17051 ab:abba=1,abaabbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17052 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:0,work:510,nodes:22,pairs:24,completionMax:57us [09m33s] 17052 ab:abba=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17052 ab:abba=1,ababaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17053 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:273,nodes:22,pairs:26,completionMax:55us [09m33s] 17053 ab:abba=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17053 ab:abba=1,abababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17054 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:242,nodes:22,pairs:25,completionMax:59us [09m33s] 17054 ab:abba=1,abababb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17054 ab:abba=1,abababb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17055 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:19,nodes:8,pairs:3,completionMax:6us [09m33s] 17055 ab:abba=1,ababbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17055 ab:abba=1,ababbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17056 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:591,nodes:30,pairs:35,completionMax:94us [09m33s] 17056 ab:abba=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17056 ab:abba=1,ababbba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17057 solved: rounds:3,rules:2,peak:11,longest:11,steps:8,word:5,work:2916,nodes:38,pairs:57,completionMax:238us [09m33s] 17057 ab:abba=1,ababbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17057 ab:abba=1,ababbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17058 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:74,nodes:12,pairs:13,completionMax:26us [09m33s] 17058 ab:abba=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17058 ab:abba=1,abbaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17059 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:17,nodes:8,pairs:3,completionMax:7us [09m33s] 17059 ab:abba=1,abbaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17059 ab:abba=1,abbaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17060 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:53,nodes:12,pairs:12,completionMax:23us [09m33s] 17060 ab:abba=1,abbabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17060 ab:abba=1,abbabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17061 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:18,nodes:12,pairs:3,completionMax:8us [09m33s] 17061 ab:abba=1,abbabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17061 ab:abba=1,abbabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17062 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:303,nodes:16,pairs:9,completionMax:35us [09m33s] 17062 ab:abba=1,abbabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17062 ab:abba=1,abbabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17063 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:366,nodes:24,pairs:29,completionMax:66us [09m33s] 17063 ab:abba=1,abbbaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17063 ab:abba=1,abbbaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17064 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:3,work:437,nodes:22,pairs:24,completionMax:57us [09m33s] 17064 ab:abba=1,abbbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17064 ab:abba=1,abbbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17065 solved: rounds:3,rules:2,peak:9,longest:8,steps:10,word:4,work:1739,nodes:32,pairs:35,completionMax:155us [09m33s] 17065 ab:abba=1,abbbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17065 ab:abba=1,abbbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17066 solved: rounds:4,rules:2,peak:10,longest:8,steps:6,word:3,work:3485,nodes:32,pairs:111,completionMax:914us [09m33s] 17066 ab:abba=1,abbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17066 ab:abba=1,abbbbba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17067 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:3,work:169,nodes:24,pairs:10,completionMax:38us [09m33s] 17067 ab:abba=1,abbbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 17067 ab:abba=1,abbbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 17068 solved: rounds:4,rules:2,peak:6,longest:7,steps:9,word:2,work:964,nodes:28,pairs:30,completionMax:119us [09m33s] 17068 ab:abba=1,baaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [09m33s] from: 17068 ab:abba=1,baaaaab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [09m33s] # 17069 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:0,work:306,nodes:28,pairs:23,completionMax:117us [09m33s] 17069 ab:abba=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17069 ab:abba=1,baaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17070 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:572,nodes:28,pairs:31,completionMax:198us [09m33s] 17070 ab:abba=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17070 ab:abba=1,baaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17071 solved: rounds:2,rules:2,peak:8,longest:7,steps:6,word:0,work:451,nodes:28,pairs:24,completionMax:71us [09m33s] 17071 ab:abba=1,baaabbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17071 ab:abba=1,baaabbb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17072 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:0,work:551,nodes:30,pairs:34,completionMax:69us [09m33s] 17072 ab:abba=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [09m33s] from: 17072 ab:abba=1,baabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [09m33s] # 17073 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:252,nodes:26,pairs:24,completionMax:58us [09m33s] 17073 ab:abba=1,baababb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17073 ab:abba=1,baababb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17074 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:55,nodes:12,pairs:12,completionMax:20us [09m33s] 17074 ab:abba=1,baabbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17074 ab:abba=1,baabbab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17075 solved: rounds:3,rules:2,peak:12,longest:9,steps:22,word:4,work:3591,nodes:42,pairs:50,completionMax:236us [09m33s] 17075 ab:abba=1,baabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17075 ab:abba=1,baabbbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17076 solved: rounds:2,rules:2,peak:9,longest:7,steps:5,word:0,work:465,nodes:26,pairs:25,completionMax:78us [09m33s] 17076 ab:abba=1,babaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17076 ab:abba=1,babaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17077 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:264,nodes:26,pairs:19,completionMax:43us [09m33s] 17077 ab:abba=1,bababab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17077 ab:abba=1,bababab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17078 solved: rounds:4,rules:2,peak:6,longest:7,steps:13,word:2,work:1289,nodes:28,pairs:23,completionMax:99us [09m33s] 17078 ab:abba=1,bababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17078 ab:abba=1,bababbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17079 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:304,nodes:16,pairs:9,completionMax:31us [09m33s] 17079 ab:abba=1,babbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17079 ab:abba=1,babbabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17080 solved: rounds:4,rules:2,peak:6,longest:7,steps:12,word:2,work:1298,nodes:28,pairs:25,completionMax:83us [09m33s] 17080 ab:abba=1,babbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17080 ab:abba=1,babbbab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17081 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:3,work:148,nodes:22,pairs:12,completionMax:29us [09m33s] 17081 ab:abba=1,babbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 17081 ab:abba=1,babbbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 17082 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:178,nodes:24,pairs:23,completionMax:43us [09m33s] 17082 ab:abba=1,bbaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [09m33s] from: 17082 ab:abba=1,bbaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [09m33s] # 17083 solved: rounds:2,rules:2,peak:6,longest:7,steps:11,word:3,work:803,nodes:22,pairs:30,completionMax:66us [09m33s] 17083 ab:abba=1,bbaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17083 ab:abba=1,bbaabbb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17084 solved: rounds:2,rules:2,peak:6,longest:7,steps:7,word:3,work:644,nodes:24,pairs:27,completionMax:66us [09m33s] 17084 ab:abba=1,bbababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [09m33s] from: 17084 ab:abba=1,bbababb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [09m33s] # 17085 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:3,work:41,nodes:20,pairs:7,completionMax:16us [09m33s] 17085 ab:abba=1,bbabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 17085 ab:abba=1,bbabbbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 17086 solved: rounds:2,rules:2,peak:4,longest:10,steps:6,word:6,work:535,nodes:24,pairs:17,completionMax:42us [09m33s] 17086 ab:abba=1,bbbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [09m33s] from: 17086 ab:abba=1,bbbabbb=1 finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [09m33s] # 17087 solved: rounds:6,rules:2,peak:4,longest:14,steps:14,word:10,work:1116,nodes:28,pairs:20,completionMax:62us [09m33s] 17087 ab:abba=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [09m33s] from: 17087 ab:abba=1,bbbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [09m33s] # 17088 solved: rounds:1,rules:1,peak:2,longest:4,steps:3,word:0,work:49,nodes:8,pairs:3,completionMax:8us [09m33s] 17088 ab:aaaa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [09m33s] from: 17088 ab:aaaa=1,aaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [09m33s] # 17089 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [09m33s] 17089 ab:aaaa=1,aaaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [09m33s] from: 17089 ab:aaaa=1,aaaaaa=b finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [09m33s] # 17090 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:3us [09m33s] 17090 ab:aaaa=1,aaaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 17090 ab:aaaa=1,aaaaab=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 17091 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:13,nodes:8,pairs:0,completionMax:3us [09m33s] 17091 ab:aaaa=1,aaaaab=b infinite ab - - ab:ab=b,aaaa=1 [09m33s] from: 17091 ab:aaaa=1,aaaaab=b infinite to: 1492 ab:aab=ab,aaaa=1 infinite a=a,b=b [09m33s] # 17092 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:5us [09m33s] 17092 ab:aaaa=1,aaaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 17092 ab:aaaa=1,aaaaba=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 17093 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:10,nodes:10,pairs:0,completionMax:3us [09m33s] 17093 ab:aaaa=1,aaaaba=b infinite ab - - ab:ba=b,aaaa=1 [09m33s] from: 17093 ab:aaaa=1,aaaaba=b infinite to: 234 ab:ab=a,bbbb=1 infinite a=b,b=a [09m33s] # 17094 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:3,work:104,nodes:16,pairs:4,completionMax:12us [09m33s] 17094 ab:aaaa=1,aaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17094 ab:aaaa=1,aaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17095 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:2us [09m33s] 17095 ab:aaaa=1,aaaabb=b infinite ab - - ab:bb=b,aaaa=1 [09m33s] from: 17095 ab:aaaa=1,aaaabb=b infinite to: 208 ab:aa=a,bbbb=1 infinite a=b,b=a [09m33s] # 17096 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:162,nodes:16,pairs:14,completionMax:23us [09m33s] 17096 ab:aaaa=1,aaabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [09m33s] from: 17096 ab:aaaa=1,aaabaa=a finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [09m33s] # 17097 solved: rounds:1,rules:2,peak:3,longest:6,steps:8,word:2,work:204,nodes:12,pairs:7,completionMax:15us [09m33s] 17097 ab:aaaa=1,aaabaa=b infinite a/b - - ab:aaaa=1,ab=baa [09m33s] from: 17097 ab:aaaa=1,aaabaa=b infinite to: 1438 ab:babb=a,bbbb=1 infinite a=b,b=a [09m33s] # 17098 solved: rounds:4,rules:2,peak:9,longest:10,steps:18,word:2,work:7184,nodes:32,pairs:44,completionMax:184us [09m33s] 17098 ab:aaaa=1,aaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17098 ab:aaaa=1,aaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17099 solved: rounds:3,rules:5,peak:5,longest:6,steps:2,word:0,work:206,nodes:16,pairs:8,completionMax:27us [09m33s] 17099 ab:aaaa=1,aaabab=b finite:20;idempotents:1,b,aaaba,aabaa,abaaa ab - - ab:bb=b,bab=ab,aaaa=1,baab=aab,baaab=aaab [09m33s] # 17100 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:2,work:448,nodes:32,pairs:17,completionMax:78us [09m33s] 17100 ab:aaaa=1,aaabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17100 ab:aaaa=1,aaabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17101 solved: rounds:5,rules:3,peak:6,longest:18,steps:23,word:7,work:1780,nodes:68,pairs:14,completionMax:98us [09m33s] 17101 ab:aaaa=1,aaabba=b finite:64;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbbbbbb,aaaa=1 [09m33s] from: 17101 ab:aaaa=1,aaabba=b finite:64;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbb to: 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=b,b=a [09m33s] # 17102 solved: rounds:2,rules:3,peak:3,longest:6,steps:4,word:0,work:99,nodes:16,pairs:7,completionMax:20us [09m33s] 17102 ab:aaaa=1,aaabbb=a infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 17102 ab:aaaa=1,aaabbb=a infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 17103 solved: rounds:2,rules:3,peak:3,longest:9,steps:3,word:3,work:61,nodes:24,pairs:4,completionMax:21us [09m33s] 17103 ab:aaaa=1,aaabbb=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbb,aaaa=1 [09m33s] from: 17103 ab:aaaa=1,aaabbb=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa anti:a=b,b=a [09m33s] # 17104 solved: rounds:4,rules:2,peak:5,longest:8,steps:14,word:2,work:1305,nodes:20,pairs:30,completionMax:108us [09m33s] 17104 ab:aaaa=1,aabaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17104 ab:aaaa=1,aabaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17105 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:116,nodes:20,pairs:8,completionMax:21us [09m33s] 17105 ab:aaaa=1,aabaab=b infinite ab - - ab:bb=b,aaaa=1,baab=aab [09m33s] # 17106 solved: rounds:2,rules:2,peak:5,longest:8,steps:5,word:3,work:482,nodes:30,pairs:20,completionMax:73us [09m33s] 17106 ab:aaaa=1,aababa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17106 ab:aaaa=1,aababa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17107 solved: rounds:5,rules:4,peak:10,longest:10,steps:9,word:15,work:4139,nodes:50,pairs:56,completionMax:253us [09m33s] 17107 ab:aaaa=1,aababa=b finite:44;idempotents:1,bbbbb,abbbbbaaa reversed:b/a - - ab:bbbbbb=b,bab=bbbba,aab=bbbbaa,aaaa=1 [09m33s] from: 17107 ab:aaaa=1,aababa=b finite:44;idempotents:1,bbbbb,abbbbbaaa to: 11005 ab:abab=bba,bbbb=1 finite:44;idempotents:1,aaaaa,baaaaabbb a=b,b=a [09m33s] # 17108 solved: rounds:5,rules:3,peak:9,longest:6,steps:5,word:0,work:1125,nodes:26,pairs:37,completionMax:113us [09m33s] 17108 ab:aaaa=1,aababb=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 17108 ab:aaaa=1,aababb=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 17109 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:1,work:50,nodes:20,pairs:5,completionMax:12us [09m33s] 17109 ab:aaaa=1,aababb=b infinite b/a - - ab:aab=babb,babbabb=b,aaaa=1 [09m33s] # 17110 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:2,work:577,nodes:22,pairs:36,completionMax:92us [09m33s] 17110 ab:aaaa=1,aabbaa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17110 ab:aaaa=1,aabbaa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17111 solved: rounds:2,rules:3,peak:4,longest:6,steps:5,word:2,work:267,nodes:22,pairs:14,completionMax:30us [09m33s] 17111 ab:aaaa=1,aabbaa=b infinite b/a - - ab:bbbb=b,baa=aabb,aaaa=1 [09m33s] from: 17111 ab:aaaa=1,aabbaa=b infinite to: 10942 ab:aabb=bba,bbbb=1 infinite a=b,b=a [09m33s] # 17112 solved: rounds:5,rules:3,peak:7,longest:6,steps:8,word:0,work:1134,nodes:36,pairs:32,completionMax:80us [09m33s] 17112 ab:aaaa=1,aabbab=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 17112 ab:aaaa=1,aabbab=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 17113 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:65,nodes:20,pairs:4,completionMax:14us [09m33s] 17113 ab:aaaa=1,aabbab=b infinite ab - - ab:aaaa=1,bbab=aab,bbaaab=b [09m33s] # 17114 solved: rounds:3,rules:3,peak:6,longest:7,steps:4,word:0,work:621,nodes:26,pairs:38,completionMax:70us [09m33s] 17114 ab:aaaa=1,aabbba=a infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 17114 ab:aaaa=1,aabbba=a infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 17115 solved: rounds:4,rules:12,peak:26,longest:17,steps:6,word:11,work:35032,nodes:122,pairs:118,completionMax:1171us [09m33s] 17115 ab:aaaa=1,aabbba=b finite:148;idempotents:1,abbabb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,aab=bbba,baa=bbbbabbbbbbb,baba=bbbbbbabbbbbb,babba=bbbbbbb,babbba=bbbabbb,babbbba=bbabbbbb,babbbbba=bbbbbbbab,babbbbbba=bbbbbabbbb,babbbbbbba=bbbbbbbbabb,aaaa=1 [09m33s] from: 17115 ab:aaaa=1,aabbba=b finite:148;idempotents:1,abbabb,bbbbbbbb to: 10767 ab:aaab=bba,bbbb=1 finite:148;idempotents:1,baabaa,aaaaaaaa a=b,b=a [09m33s] # 17116 solved: rounds:4,rules:2,peak:4,longest:16,steps:2,word:11,work:198,nodes:32,pairs:17,completionMax:49us [09m33s] 17116 ab:aaaa=1,aabbbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [09m33s] from: 17116 ab:aaaa=1,aabbbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [09m33s] # 17117 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:1,work:50,nodes:20,pairs:5,completionMax:19us [09m33s] 17117 ab:aaaa=1,aabbbb=b infinite b/a - - ab:bbbbbbb=b,aab=bbbb,aaaa=1 [09m33s] from: 17117 ab:aaaa=1,aabbbb=b infinite to: 10651 ab:aaaa=abb,bbbb=1 infinite anti:a=b,b=a [09m33s] # 17118 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:439,nodes:34,pairs:13,completionMax:64us [09m33s] 17118 ab:aaaa=1,abaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17118 ab:aaaa=1,abaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17119 solved: rounds:3,rules:5,peak:6,longest:6,steps:2,word:0,work:453,nodes:24,pairs:15,completionMax:57us [09m33s] 17119 ab:aaaa=1,abaaab=b finite:20;idempotents:1,b,aaaba,aabaa,abaaa ab - - ab:bb=b,bab=ab,aaaa=1,baab=aab,baaab=aaab [09m33s] from: 17119 ab:aaaa=1,abaaab=b finite:20;idempotents:1,b,aaaba,aabaa,abaaa to: 17099 ab:aaaa=1,aaabab=b finite:20;idempotents:1,b,aaaba,aabaa,abaaa a=a,b=b [09m33s] # 17120 solved: rounds:4,rules:2,peak:7,longest:9,steps:16,word:3,work:2068,nodes:36,pairs:34,completionMax:112us [09m33s] 17120 ab:aaaa=1,abaaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [09m33s] from: 17120 ab:aaaa=1,abaaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [09m33s] # 17121 solved: rounds:5,rules:11,peak:15,longest:11,steps:11,word:5,work:12586,nodes:88,pairs:95,completionMax:598us [09m33s] 17121 ab:aaaa=1,abaaba=b finite:100;idempotents:1,bbbbbb;center:1,bbb,abab,bbbbbb,ababbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbba=abbb,baabbbbbb=baa,baba=abab,babba=aabb,bbaa=abbab,baaa=abaab,baaba=aaab,baabba=aabbabbbbb,aaaa=1 [09m33s] # 17122 solved: rounds:4,rules:3,peak:5,longest:6,steps:4,word:0,work:438,nodes:24,pairs:10,completionMax:56us [09m33s] 17122 ab:aaaa=1,abaabb=a infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [09m33s] from: 17122 ab:aaaa=1,abaabb=a infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [09m33s] # 17123 solved: rounds:5,rules:3,peak:8,longest:9,steps:6,word:3,work:1356,nodes:36,pairs:22,completionMax:109us [09m33s] 17123 ab:aaaa=1,abaabb=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbb,aaaa=1 [09m33s] from: 17123 ab:aaaa=1,abaabb=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa anti:a=b,b=a [09m33s] # 17124 solved: rounds:2,rules:3,peak:6,longest:6,steps:5,word:0,work:572,nodes:28,pairs:18,completionMax:57us [09m33s] 17124 ab:aaaa=1,ababab=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 17124 ab:aaaa=1,ababab=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [09m33s] # 17125 solved: rounds:2,rules:3,peak:5,longest:9,steps:11,word:3,work:533,nodes:26,pairs:13,completionMax:48us [09m33s] 17125 ab:aaaa=1,ababab=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbb,aaaa=1 [09m33s] from: 17125 ab:aaaa=1,ababab=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa anti:a=b,b=a [09m33s] # 17126 solved: rounds:4,rules:3,peak:5,longest:6,steps:8,word:0,work:591,nodes:24,pairs:21,completionMax:60us [09m33s] 17126 ab:aaaa=1,ababba=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [09m33s] from: 17126 ab:aaaa=1,ababba=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [11m11s] # 17127 solved: rounds:0,rules:61062,peak:2361965,longest:116,steps:0,word:0,work:0,nodes:4723928,pairs:0,completionMax:0us [11m11s] 17127 ab:aaaa=1,ababba=b finite:2361964;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,bbbbbbbbbbbbbbbbbbbbbbbbab=ab,abbbbbbbbbbbbbbbbbbbbbbbb=bbbbbbbbbbbbbbbbbbbbbbbba,bbbbbbbbbbbbbbbbbbbbbbbbaab=aab,abab=bbbabbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbbabb=bbbbbbbbbbbbbbbbbbbbbbbabba,abbabbbbbbbbbbbbbbbbbbbbb=bbbbbbbbbbbbbbbbbbbbbbaba,baaa=bbbabbbbbbbbbbbbbbbbbbbbbbbab,abbbbbbbbbbbbbbbbbbbbbbbaba=bbbbbbbbbbbbbbbbbbbbbb,abbbbbbbbbbbbbbbbbbbbabbbba=bbbbbbbbbbbbbbbbbbbbbabbabbb,abbbbbbbbbbbbbbbbabbbbbbbba=bbbbbbbbbbbbbbbbbabbabbbbbbb,abbbbbbbbbbbbabbbbbbbbbbbba=bbbbbbbbbbbbbabbabbbbbbbbbbb,abbbbbbbbabbbbbbbbbbbbbbbba=bbbbbbbbbabbabbbbbbbbbbbbbbb,abbbbabbbbbbbbbbbbbbbbbbbba=bbbbbabbabbbbbbbbbbbbbbbbbbb,aaab=babba,abbbbbbbbbbbbbbbbbbbbbbbaab=bbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbabbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbaba,abbbbbbbbbbbbbbbbbabbab=bbbbbbbbbbbbabbbbbbbaba,abaabb=bbbabbbbbbbbbbbbbbbbbbbbbbabba,abbabbbbbbbbbbbbbbbbbbbbabb=bbbbbbbbbbbbbbbbbbbbbbaabba,abbbbbbbbaabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbba,abbbbbbbbbbbbbbbbaabbbb=bbbbbbbbbbbbabbbbabbbba,abbbbabbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbba,abbbbbbbbbbbbabbbbabbbb=bbbbbbbbbbbbaabbbbbbbba,abbabbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbba,abbbbbbbbbbabbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbabbbbbbbabbbb=bbbbabbbbbbbbbbabbbbbbbbbbbbbbba,aabbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbba,abbbbbbbbabbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbba,abbbbbbbabbbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbabbbb=bbbbabbbbbbbabbbbbbbbbbbbbbbbba,abbbbbbbbbabbbbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbabbbb=bbbbabbbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbabbbbbbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbba,abbabbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbabbabbbbbbba,abbbbbbbbbbabbbbbbbbbbbbbbbabbbb=bbbbabbbbbbbbbbbbbbbbbbabbbbbbba,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbbba,aabbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbbbbbbbbabbbb=bbbbabbbbbbbbbbbbbbbabbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbbbba,abbbbbbbbbabbbbbbbbbbbbbbbbbbabbbb=bbbbabbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbb=bbbbbbbbbbbbabbbbbbbbaa,abbbbbabbabbbbb=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaba,abbbbbbbbbbbbbabbabbbbb=bbbbbbbbbbbbbbbbabbbaba,abbbbbbbbbbbbbbbbbbbbbabbabbbbb=bbbbbbbbbbbbbbbbabbbbbbbbbbbaba,abbbbbbbabbbbabbbbb=bbbbbbbaabbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbabbbbb=bbbbbbbbbbabbbbbbbbabbbbbbbbba,abbbbbbbbbbabbbbbbbbabbbbb=bbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbba,abbbabbbbbbbbbbabbbbb=bbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbb=bbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbb=bbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbba,abbbbabbbbbbbbbbbbbbbbbbabbbbb=bbbbbbabbbbbbbbbbbbbbbbbabbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbb=bbbbbbbbbabbbbbbbabbba,abbbbbbbbbbaabbbbbb=bbbbbbbbbaabbbbbbba,abbbbbbbbbbbbbbbbbabbbabbbbbb=bbbbbbbbbbbabbbbbbbbabbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbabbbbbb=bbbbbbbabbbbbbbbbbabbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbb=bbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbbbabbbbbb=bbbbbbbabbbabbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbb=bbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbbbbabbbbbb=bbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbb=bbbbbbbbbbbabbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbaabbbbbbb=bbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbba,abbbbbbbbbbabbbbabbbbbbb=bbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbabbbbbbb=bbbbbabbbbbbabbbbbbbbbbbbbbbbba,abbbbbabbbbbbbabbbbbbb=bbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbb=bbbbbbbbbabbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbabbbbbbbbbbbbbbbabbbbbbb=bbbbbbbbbbbabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbb=bbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbb=bbbbbbbbbabbbbabbbbbbbbba,abbbbaabbbbbbbb=bbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbba,abbbbbbbbbbbbaabbbbbbbb=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbba,abbbbbbbbbbbbbbbbbbbbaabbbbbbbb=bbbbbbbbbbbbbbbbabbbbabbbbbbbba,abbabbbabbbbbbbb=bbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbbbba,abbbbbbabbbabbbbbbbb=bbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbabbbabbbbbbbb=bbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbabbbbbbbb=bbbb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bbbbbbbbabbbabbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbabbbbbba,abbbbbbbbbbbbbbabbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbabbbbab=bbbbbbbbbbbabbbbbbbbabbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,aabbbbbabbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbbbba,abbbbbabbbbbabbbbbabbbbab=bbbaabbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbabbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbabbbbbbabbbbbba,abbbbbbbbabbbbbabbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbabbba,abbbbbbbbbbbbbbabbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbabbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbabbbbab=bbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbabbbbab=bbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbabbbbbbabbbbbabbbbab=bbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbba,abbbbbbbbbbbbabbbbbbabbbbbabbbbab=bbbbbbbabbbaabbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbbba,abbbbbbabbbbbbbabbbbbabbbbab=bbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbabbbbbba,abbbbbbbbbbbbbbabbbbbbbabbbbbabbbbab=bbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbabbbbab=bbabbbbbbabbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbabbbbbabbbbab=bbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbabbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbabbbbab=bbbabbbabbbbbbabbbbbbbabbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabba,abbbbbbabbbbbbbbbbbbabbbbbabbbbab=bbbaabbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbbbabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbbbbbabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbabbbbbbbbbbbbbbabbbbbabbbbab=bbbabbbbbbbbbbbbbbbbabbbabbbbbbaa,abbbbbbabbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbab=babbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabbbbba,aabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbba,abbbbbabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbbbbbbabba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbabbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbaabbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbabbbbbbbbabbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbabbbbbbbbbbbbba,abbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbba,abbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbba,abbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbbbbbbabbba,abbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbabbbbbabbbbbbabbbbbaa,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbaabbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbabbbbbbbbbbbbbabbbbbbbbbbabbbbbabbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbba,abbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbbbbbabbbaabbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbab=bbbabbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbabbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbabbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbabbbbbbabbbbab=bbbbbbabbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbabbbbbabbbbbbabbbbab=bbbbbbbbbbabbbabbbbbbbbbabbbabbba,abbbbbabbbbbabbbbbbabbbbab=bbbabbbabbbbbbbbbbbabbabbbbbbbbbba,abbbbbbbbbbbbbabbbbbabbbbbbabbbbab=bbbabbbabbbbbbbbbbbabbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbabbbbab=bbbabbbabbbbbbbbbbbabbabba,abbbabbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbba,abbbbbbabbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbabbbbbbbbabbbbbbba,abbbbbbbbbbbabbbbbbabbbbbbabbbbab=bbbbbbbbbbbaabbbabbbabbba,abbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbab=bbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbabbbbab=bbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbabbbbbbbbbabbbbbbabbbbab=bbabbbbbbabbbbbabbbbabbbbbbbbbbbbbba,abbbbbbbbbbbabbbbbbbbbabbbbbbabbbbab=bbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbab=bbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbabbbbbba,abbabbbbbbbbbbabbbbbbabbbbab=babbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbabbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbaa,abbbbabbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbabbbbbabbbbbbbbbbbaa,abbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbabbbaa,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaa,abbbbabbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbabbbbba,abbbbbabbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbabba,abbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbabbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbabbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbabbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbabbbbabbbbbbbbbbbbbbbbabbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbabbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbaabbbbbbba,abbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbabbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbba,abbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbaa,abbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbabbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbbbbbbbbbabbbabbabba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbaabbbbbbbbbbbbbbabbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbaabbbbbbbbbbbbbbbbbbbabbbbbabbba,aabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbabbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbba,abbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbabbbbbbabbbbbabbbbbbbbbbbbbbbbabbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbabbbbbbbba,abbbbbbaabbbbbbbabbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbabbbbbbbba,abbbbbbbbbbbbbbaabbbbbbbabbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbaa,abbbbbbbbbbbbbbbbbbbbbbaabbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaa,abbbbbbabbbbbbbbbbbbbbbbabbbbbbbabbbbab=bbabbbbbabbbbbbbbbbbbbbbabbbbaa,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbabbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbabbabbbbbbbbbabbbbbbbbbbbbbaa,abbbabbabbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbbbbbbbabbabbbbbbbbabbbbab=bbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbabbabbbbbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbabbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbaba,abbbbbbbbbbbbbabbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbaabbbbbabbbbba,abbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbaabbbbbbbbba,abbbbbbbbbbbabbbbbbbabbbbbbbbabbbbab=babbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbabbbbbbbbbbabbbbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbaa,abbbbbabbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbabbbbbbbbbbbabbbaabbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbabbbabbbbbbbbbbbabbbbbbbbabbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbaba,abbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbabbbabbbbbbbbbbbbbbbbbbbaaba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbabbbbbbbbbbbbbbbbba,abbbaabbbbbbbbbbabbbbab=bbbbbbbabbbbbbabbbbbbbbbbbbbbabbbabbbba,abbbabbbabbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbabbbabbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbba,abbbbabbbbbbbabbbbbbbbbbabbbbab=bbbbbbabbbbabbbbbbbbbabbbbbbbaa,abbbbbbbbbbbbabbbbbbbabbbbbbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbabbabbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbaa,abbbbbbabbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbba,abbbbbbbbbbbabbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbabbbba,abbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbabbbbab=bbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbabbbabbbabbbbbbbbbbbbbba,abbbabbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbaabbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbabbbbbbbbabbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbabbbba,abbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbabbba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbabbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbabbba,abbbbbbbbbbbbbbbaabbbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbabbbbbabbbbbbbbbbbabbbbab=bbbbabbbabbbbbbbbbbbbbabbbabbba,abbbbbbbbbbbbbabbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbba,abbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbabbbabbba,abbabbbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbabbbbbbaa,abbbbbbabbbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbabbbbbbbbbbbabbbbbbaabbbbbbbbbba,abbbbbbbbbbabbbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbabbbbbbbbbabbbbbbbbabbbbbbaa,abbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbabbbbab=bbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbabbb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bbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbabbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbba,abbbabbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbabbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabba,abbbbbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbabbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbabbbbbbab=bbabbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbba,abbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbaba,abbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbabbbbbbbbbbbbbbabbbbbbaabba,abbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbba,abbbbbbbbbabbbbbbbbbbbbabbbabbbbbbab=bbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbba,abbbbbabbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbba,abbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbba,abbbbbbabbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbaabbba,abbbbbbabbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbabbbbbbbbbbbbba,abbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbabbbbbbbabbbbbbbbbbabbbabbbbbba,abbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbabbbbbbaabbbbbbbbbbbbbba,abbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbabbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbba,abbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbaabbbbbbbbbba,abbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbabbbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbaba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbabba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbaabbbba,abbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbabbbbbabbbbbabbbbabbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbba,abbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbabbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbba,aabbbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbabbbbbbabbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbabbbbbbab=bbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbba,abbbaabbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbabbbbbbbbbbbabbbba,abbbbbbbbbbbaabbbbabbbbbbab=bbbbbbbbbbaabbbbbbbbbbbbbabbbabbbba,abbbbbbbbbbbbbbbbbbbaabbbbabbbbbbab=bbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbba,aabbbbbbabbbbabbbbbbab=babbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbaa,abbbbbbabbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbabbbbbbbbbbbbabbbbbbbbabbbaba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbabbbbba,aabbbbbbbbbbbbbbabbbbabbbbbbab=babbbabbbbbbabbbbbbbaa,abbbabbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbabbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbba,abbbabbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbabbbabbbba,abbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbaabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbabbbbbbab=bbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbba,aabbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbabbbbbbbbbbbbbbabbbabbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbabbbabbbbbbbbba,abbbabbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbabbbbbbbba,abbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaa,abbbbbbbbbaabbbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbaabbbbbabbbbbbab=bbbbbabbbbabbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbba,aabbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbabbbabbbbbbbbbbbaabbbbbbbbbbbbbbbbbba,abbabbbbabbbbbabbbbbbab=bbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbba,abbbabbbbabbbbbabbbbbbab=bbbabbbbbbbbabbabbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbabbbbabbbbbabbbbbbab=bbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbaabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbabbbbbabbbbbbab=bbbaabbbbbbbbbbabbbbbbbbbbbabbba,abbbbbbbabbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbaa,abbbbbbbbbbabbbbbabbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbabbbbbabbbbbbab=bbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbabbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbba,aabbbbbbabbbbbabbbbbbab=bbabbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbba,abbbabbbbbbabbbbbabbbbbbab=bbbbbbbabbbabbbbbabbbabbba,abbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbba,abbbbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbabbbabbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbba,abbbbbbbbbbbbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbaa,abbbbbbbbbbbbbbbbbbbabbbbbbabbbbbabbbbbbab=bbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbabbbbbbbabbbbbabbbbbbab=bbabbbbbabbbaabba,abbbbbbbbbbbbabbbbbbbabbbbbabbbbbbab=bbbbabbabbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbaa,abbbbbbbbbabbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbabbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbabbbabbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbabbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbbbab=babbbbabbbbbbbbbbbabbbbbabbba,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbaabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbab=bbabbbbbbbbabbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbba,abbbbabbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbabbbbbbab=bbabbbbabbbbbbaabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbabbbabbbbbbbbabba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbaabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbaabba,abbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbabbba,abbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbabba,abbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbabbbbbbbbbbbabbbbbbbbbbbaabba,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbabba,abbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbaabbbbbbbbbbabbbba,abbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbabbbbbbbbbbabbbbbba,abbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbaabbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbab=bbabbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbabbbbbba,aabbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbba,abbabbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbabbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbabbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbaba,abbbbbbbbabbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbba,abbbbbbbbbabbbabbbbbbabbbbbbab=bbabbbbbbabbbbbaabbbba,abbbbbbbbbbabbbabbbbbbabbbbbbab=bbbbbbabbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbbbabbbbbbbbbbbbabbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbabbbbbbbba,abbbbbbbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbaabbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbabbbbbbabbbbbbab=bbbabbbabbbbbbbbbbbbbbbbbbbabbbbaa,abbbbbbbbabbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbba,abbbbbbbbbbbbbbbbabbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbba,aabbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbabbbbbbba,abbbbabbbbbabbbbbbabbbbbbab=bbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbba,abbbbbbbabbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbabbbbbbabbbbbbab=bbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbba,abbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbaabbbbbbbbbbbabbbbbba,abbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbabbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbaabbba,abbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbba,abbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbabbbbbbabbbbbbabbbbbbab=babbbbbbbbbbbabbbbbaabbbba,abbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbaabbba,abbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbabbbbbbbabbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbbabbbbbbbbbbbbaabbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbabbbbbbab=bbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbabbbba,abbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbaabbbbbbbabbbbbabbbbbba,abbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbabbbabbbbbbbbabbbbbbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbabbbbbaabbbba,abbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbabbbbbbbbbbbbbabbbabbbbbbbbbaa,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbaabbbbbbbbbbbbbbbbbba,abbbbbabbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbaabbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbba,aabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbba,abbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbabbbabbbbbba,abbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbabbbbabbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbba,abbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbabbbabbbbaa,abbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbba,abbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaabbbba,abbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbabbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbabbbbbabbbabbbbbbbbbaa,abbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbabbbbbabbbbbbbbbbbaa,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbaabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbba,abbabbbbbbbbbbbbabbbbbbabbbbbbab=babbbbbbbbbbbbbbabbbabbbabbbbbba,abbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbbabbbabbabbbbbbbbbbba,abbbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbabbbbbbab=babbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbaa,aabbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbbabbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbabbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbba,abbbbbbbbbabbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbabbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbabbbbbbbbbbbbbba,abbbbabbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbaabbbbbba,abbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbabbabbbabbbbbba,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbaabbbba,abbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbabbbbbbbbbba,abbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbaabbbba,abbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbaa,abbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbba,abbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbba,abbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbbabbbbbbbbabbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbba,abbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbabbbbbbabbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbaabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbabbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbabbbbbbbabbbbbbbbbbbbbbbbbbabbbbbbabbbbbba,aabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbba,abbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbaabbbbbba,abbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,aabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbabbabbbbbba,abbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbabba,abbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbaabbba,abbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbabbbbbbab=bbbbbbbbbbbbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbba,abbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbb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bbbabbbbbaa=bbbabbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbab,abbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbaa=bbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbab,abbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbabbbbbbab,abbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbab,abbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbab,abbbbabbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbab,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbb,abbbbabbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbb,abbbbbbbbbbbbabbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbabbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbab,abbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbabbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbb,abbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbabbbbbabbbbbbbbbbbbbabbbabbbbbbbbb,abbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbab,abbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbb,abbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbabbbbbabbb,abbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbabbbbbaa=bbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbabbbbbbbbbbbbbbbbbbbab [11m11s] # 17128 solved: rounds:7,rules:2,peak:5,longest:16,steps:10,word:11,work:811,nodes:32,pairs:13,completionMax:65us [11m11s] 17128 ab:aaaa=1,ababbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17128 ab:aaaa=1,ababbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17129 solved: rounds:6,rules:4,peak:9,longest:9,steps:9,word:2,work:2642,nodes:46,pairs:32,completionMax:156us [11m11s] 17129 ab:aaaa=1,ababbb=b finite:52;idempotents:1,abbba,bbbaa,bbbbbb,abbbbbbaaa b/a - - ab:bbbbbbb=b,bab=abb,aab=bbbb,aaaa=1 [11m11s] # 17130 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:422,nodes:28,pairs:21,completionMax:51us [11m11s] 17130 ab:aaaa=1,abbaab=a infinite;group:a-aaa,b-aabb ab - - ab:baa=aab,bbb=aa,aaaa=1 [11m11s] from: 17130 ab:aaaa=1,abbaab=a infinite;group:a-aaa,b-aabb to: 1707 ab:aaaa=1,aabbb=1 infinite;group:a-aaa,b-aabb a=a,b=b [11m11s] # 17131 solved: rounds:3,rules:3,peak:7,longest:9,steps:8,word:3,work:1427,nodes:34,pairs:24,completionMax:82us [11m11s] 17131 ab:aaaa=1,abbaab=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbb,aaaa=1 [11m11s] from: 17131 ab:aaaa=1,abbaab=b finite:36;idempotents:1,bbaaa,bbbbaa,bbbbbba,bbbbbbbb to: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa anti:a=b,b=a [11m11s] # 17132 solved: rounds:6,rules:2,peak:7,longest:16,steps:10,word:11,work:1155,nodes:32,pairs:30,completionMax:87us [11m11s] 17132 ab:aaaa=1,abbabb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17132 ab:aaaa=1,abbabb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17133 solved: rounds:3,rules:4,peak:6,longest:8,steps:7,word:1,work:683,nodes:36,pairs:13,completionMax:67us [11m11s] 17133 ab:aaaa=1,abbabb=b finite:52;idempotents:1,abbba,bbbaa,bbbbbb,abbbbbbaaa b/a - - ab:bbbbbbb=b,bab=abb,aab=bbbb,aaaa=1 [11m11s] from: 17133 ab:aaaa=1,abbabb=b finite:52;idempotents:1,abbba,bbbaa,bbbbbb,abbbbbbaaa to: 17129 ab:aaaa=1,ababbb=b finite:52;idempotents:1,abbba,bbbaa,bbbbbb,abbbbbbaaa a=a,b=b [11m11s] # 17134 solved: rounds:7,rules:2,peak:6,longest:16,steps:10,word:11,work:1513,nodes:34,pairs:32,completionMax:151us [11m11s] 17134 ab:aaaa=1,abbbab=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17134 ab:aaaa=1,abbbab=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17135 solved: rounds:2,rules:4,peak:6,longest:8,steps:5,word:1,work:463,nodes:34,pairs:9,completionMax:53us [11m11s] 17135 ab:aaaa=1,abbbab=b infinite b/a - - ab:bbbbbbb=b,bbbab=abbbb,aab=bbbb,aaaa=1 [11m11s] # 17136 solved: rounds:5,rules:2,peak:5,longest:16,steps:10,word:11,work:467,nodes:32,pairs:13,completionMax:71us [11m11s] 17136 ab:aaaa=1,abbbba=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17136 ab:aaaa=1,abbbba=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17137 solved: rounds:11,rules:26,peak:50,longest:19,steps:88,word:27,work:781755,nodes:472,pairs:1768,completionMax:32148us [11m11s] 17137 ab:aaaa=1,abbbba=b infinite d/c/b/a bb=c,abcabcabcab=d frequency:2/1,11/0 abcd:cdd=d,dc=cd,ccd=c,bcd=b,db=bd,cb=bc,bb=c,dacd=da,ddddda=addddd,ca=ddddaccccc,cda=acd,ba=ddabcc,bda=dddabcc,bdda=ddddabcc,bddda=abddd,bdddda=dabddd,addda=bddddd,daacd=daa,ddaa=adacc,dddada=aaddddddd,aaad=dddabccc,aaac=dddabccccc,aaab=dddaccccc,adada=ddabddddd,daaa=ddddabcccc,aaaa=1 [11m11s] # 17138 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:4,nodes:24,pairs:1,completionMax:18us [11m11s] 17138 ab:aaaa=1,abbbbb=a infinite;group:a-aaa,b-bbbb ab - - ab:aaaa=1,bbbbb=1 [11m11s] from: 17138 ab:aaaa=1,abbbbb=a infinite;group:a-aaa,b-bbbb to: 1719 ab:aaaa=1,bbbbb=1 infinite;group:a-aaa,b-bbbb a=a,b=b [11m11s] # 17139 solved: rounds:4,rules:3,peak:4,longest:17,steps:2,word:17,work:167,nodes:40,pairs:6,completionMax:49us [11m11s] 17139 ab:aaaa=1,abbbbb=b finite:68;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbbaaa,bbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbb=b,ab=bbbbbbbbbbbbb,aaaa=1 [11m11s] # 17140 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:3,work:105,nodes:16,pairs:4,completionMax:18us [11m11s] 17140 ab:aaaa=1,baaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [11m11s] from: 17140 ab:aaaa=1,baaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [11m11s] # 17141 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:10,pairs:0,completionMax:4us [11m11s] 17141 ab:aaaa=1,baaaab=b infinite ab - - ab:bb=b,aaaa=1 [11m11s] from: 17141 ab:aaaa=1,baaaab=b infinite to: 208 ab:aa=a,bbbb=1 infinite a=b,b=a [11m11s] # 17142 solved: rounds:3,rules:3,peak:6,longest:6,steps:7,word:0,work:730,nodes:28,pairs:13,completionMax:43us [11m11s] 17142 ab:aaaa=1,baaabb=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb ab - - ab:ba=ab,bbb=aa,aaaa=1 [11m11s] from: 17142 ab:aaaa=1,baaabb=a finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=a2,a4=1;saturation:ab:b3=a2,a4=1;cancellative;smith:12;group:a-aaa,b-aabb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbbbbbbbb [11m11s] # 17143 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:2us [11m11s] 17143 ab:aaaa=1,baaabb=b infinite ab - - ab:aaaa=1,baaabb=b [11m11s] # 17144 solved: rounds:5,rules:7,peak:23,longest:11,steps:10,word:6,work:38835,nodes:110,pairs:508,completionMax:7876us [11m11s] 17144 ab:aaaa=1,baabab=a finite:60;center:1,bb,bbbb;group:a-aaa,b-bbbbb b/a - - ab:bbbbbb=1,bba=abb,aaba=babbb,baaa=abababbbbb,babaa=abaab,bababa=aaabbb,aaaa=1 [11m11s] # 17145 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:4us [11m11s] 17145 ab:aaaa=1,baabab=b infinite ab - - ab:aaaa=1,baabab=b [11m11s] # 17146 solved: rounds:8,rules:17,peak:50,longest:29,steps:14,word:38,work:557187,nodes:384,pairs:3223,completionMax:55204us [11m11s] 17146 ab:aaaa=1,baabbb=a finite:272;group:a-bbbbbbbbbbbbabbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=bbbbbbbbbbbbbbbabbbbbbbbbbbbb,aba=bbbbbbabbbbbbb,abba=bbbbbabbbbbbbbb,abbba=bbbbbbbbbbabbbbb,abbbba=bbabbbbbbbbbbbbbb,abbbbba=bbbbbbbbbbbabbbbbb,abbbbbba=bbbbbbbabbbbbbbbbbb,abbbbbbba=bbbbbbbbbabbbbbbbbbb,abbbbbbbba=bbbab,abbbbbbbbba=babbbb,abbbbbbbbbba=bbbbbbbbbbbbbbabbbbbbbb,abbbbbbbbbbba=bbbbabbb,abbbbbbbbbbbba=bbbb,abbbbbbbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbabb,abbbbbbbbbbbbbbba=bbbbbbbbbbbbabbbbbbbbbbbbbbb [11m11s] # 17147 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:4us [11m11s] 17147 ab:aaaa=1,baabbb=b infinite ab - - ab:aaaa=1,baabbb=b [11m11s] # 17148 solved: rounds:7,rules:17,peak:45,longest:30,steps:26,word:33,work:406466,nodes:310,pairs:2387,completionMax:42948us [11m11s] 17148 ab:aaaa=1,bababb=a finite:272;group:a-bbbbbbbbbbbbabbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=bbbabbbbbbbbb,aba=bbbbbbbbbbbbbbbabbbbbbbbbbbbbb,abba=bbbbbbabbbbbbbb,abbba=bbbbbbbbbbbbabbb,abbbba=bbbbbbbbbbabbbbbb,abbbbba=bbbbbbbbbbbbbabbbb,abbbbbba=bbbbbbbbabbbbbbbbbb,abbbbbbba=bbab,abbbbbbbba=bbbbbbbabbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbbbabbbbbbbbbbbb,abbbbbbbbbba=babbbbb,abbbbbbbbbbba=bbbbbabb,abbbbbbbbbbbba=bbbb,abbbbbbbbbbbbba=bbbbbbbbbbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba=bbbbabbbbbbb [11m11s] # 17149 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:4us [11m11s] 17149 ab:aaaa=1,bababb=b infinite ab - - ab:aaaa=1,bababb=b [11m11s] # 17150 solved: rounds:7,rules:2,peak:9,longest:16,steps:13,word:11,work:6303,nodes:48,pairs:84,completionMax:415us [11m11s] 17150 ab:aaaa=1,babbab=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17150 ab:aaaa=1,babbab=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17151 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:131,nodes:22,pairs:2,completionMax:20us [11m11s] 17151 ab:aaaa=1,babbab=b infinite ab - - ab:aaaa=1,bbab=babb,bababb=b [11m11s] # 17152 solved: rounds:5,rules:3,peak:20,longest:255,steps:126,word:500,work:1586239,nodes:892,pairs:268,completionMax:276588us [11m11s] 17152 ab:aaaa=1,babbbb=a finite:1020;center:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaaa=1 [11m11s] # 17153 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:4us [11m11s] 17153 ab:aaaa=1,babbbb=b infinite ab - - ab:aaaa=1,babbbb=b [11m11s] # 17154 solved: rounds:6,rules:2,peak:11,longest:16,steps:10,word:11,work:3388,nodes:34,pairs:53,completionMax:253us [11m11s] 17154 ab:aaaa=1,bbaabb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 17154 ab:aaaa=1,bbaabb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b12;saturation:a:a16=1;cancellative;smith:16;group:a-bbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaaaaaa,b=a [11m11s] # 17155 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:215,nodes:24,pairs:5,completionMax:22us [11m11s] 17155 ab:aaaa=1,bbaabb=b infinite ab - - ab:aaaa=1,bbaab=baabb,baabbb=b [11m11s] # 17156 solved: rounds:5,rules:3,peak:34,longest:73,steps:47,word:96,work:363492,nodes:768,pairs:670,completionMax:20643us [11m11s] 17156 ab:aaaa=1,bbabbb=a finite:260;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaaa=1 [11m11s] # 17157 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1002,nodes:30,pairs:7,completionMax:51us [11m11s] 17157 ab:aaaa=1,bbabbb=b infinite ab - - ab:aaaa=1,bbab=babb,babbbb=b [11m11s] # 17158 solved: rounds:1,rules:2,peak:2,longest:24,steps:3,word:15,work:252,nodes:48,pairs:4,completionMax:37us [11m11s] 17158 ab:aaaa=1,bbbbbb=a finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b6;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 17158 ab:aaaa=1,bbbbbb=a finite:24;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbb;commutative:ab:b24=1,a=b6;saturation:a:a24=1;cancellative;smith:24;group:a-bbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbb to: 13372 ab:aaaab=1,bbbbbb=1 finite:24;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaa;commutative:ab:a24=1,b=a20;saturation:a:a24=1;cancellative;smith:24;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aaaa a=aaaaaa,b=a [11m11s] # 17159 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:18,pairs:0,completionMax:5us [11m11s] 17159 ab:aaaa=1,bbbbbb=b infinite ab - - ab:aaaa=1,bbbbbb=b [11m11s] # 17160 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:62,nodes:12,pairs:5,completionMax:27us [11m11s] 17160 ab:aaab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17160 ab:aaab=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17161 solved: rounds:1,rules:2,peak:2,longest:9,steps:0,word:0,work:0,nodes:18,pairs:1,completionMax:8us [11m11s] 17161 ab:aaab=1,aaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17161 ab:aaab=1,aaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17162 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:27,nodes:8,pairs:5,completionMax:7us [11m11s] 17162 ab:aaab=1,aaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17162 ab:aaab=1,aaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17163 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:5us [11m11s] 17163 ab:aaab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17163 ab:aaab=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17164 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:26,nodes:8,pairs:5,completionMax:7us [11m11s] 17164 ab:aaab=1,aaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17164 ab:aaab=1,aaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17165 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:4us [11m11s] 17165 ab:aaab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17165 ab:aaab=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17166 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:4us [11m11s] 17166 ab:aaab=1,aaaabb=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17166 ab:aaab=1,aaaabb=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17167 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:11,nodes:8,pairs:2,completionMax:3us [11m11s] 17167 ab:aaab=1,aaaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17167 ab:aaab=1,aaaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17168 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:8,pairs:5,completionMax:14us [11m11s] 17168 ab:aaab=1,aaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17168 ab:aaab=1,aaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17169 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:3us [11m11s] 17169 ab:aaab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17169 ab:aaab=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17170 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:8us [11m11s] 17170 ab:aaab=1,aaabab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17170 ab:aaab=1,aaabab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17171 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:10,nodes:8,pairs:2,completionMax:4us [11m11s] 17171 ab:aaab=1,aaabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17171 ab:aaab=1,aaabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17172 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:45,nodes:10,pairs:4,completionMax:16us [11m11s] 17172 ab:aaab=1,aaabba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17172 ab:aaab=1,aaabba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17173 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:34,nodes:10,pairs:5,completionMax:11us [11m11s] 17173 ab:aaab=1,aaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17173 ab:aaab=1,aaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17174 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:20,nodes:14,pairs:4,completionMax:12us [11m11s] 17174 ab:aaab=1,aaabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17174 ab:aaab=1,aaabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17175 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:10,pairs:2,completionMax:9us [11m11s] 17175 ab:aaab=1,aaabbb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17175 ab:aaab=1,aaabbb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17176 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:243,nodes:16,pairs:27,completionMax:54us [11m11s] 17176 ab:aaab=1,aabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17176 ab:aaab=1,aabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17177 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:2,work:433,nodes:26,pairs:22,completionMax:78us [11m11s] 17177 ab:aaab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17177 ab:aaab=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17178 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:53,nodes:14,pairs:9,completionMax:16us [11m11s] 17178 ab:aaab=1,aabaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17178 ab:aaab=1,aabaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17179 solved: rounds:4,rules:2,peak:4,longest:6,steps:3,word:0,work:95,nodes:18,pairs:8,completionMax:23us [11m11s] 17179 ab:aaab=1,aabaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17179 ab:aaab=1,aabaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17180 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:125,nodes:16,pairs:8,completionMax:32us [11m11s] 17180 ab:aaab=1,aababa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17180 ab:aaab=1,aababa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17181 solved: rounds:3,rules:2,peak:6,longest:6,steps:7,word:0,work:517,nodes:26,pairs:27,completionMax:75us [11m11s] 17181 ab:aaab=1,aababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17181 ab:aaab=1,aababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17182 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:3,work:90,nodes:18,pairs:5,completionMax:39us [11m11s] 17182 ab:aaab=1,aababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17182 ab:aaab=1,aababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17183 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:16,pairs:4,completionMax:13us [11m11s] 17183 ab:aaab=1,aababb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17183 ab:aaab=1,aababb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17184 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:284,nodes:18,pairs:23,completionMax:42us [11m11s] 17184 ab:aaab=1,aabbaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17184 ab:aaab=1,aabbaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17185 solved: rounds:3,rules:2,peak:11,longest:6,steps:4,word:0,work:1110,nodes:24,pairs:65,completionMax:112us [11m11s] 17185 ab:aaab=1,aabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17185 ab:aaab=1,aabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17186 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:3,work:152,nodes:22,pairs:14,completionMax:56us [11m11s] 17186 ab:aaab=1,aabbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17186 ab:aaab=1,aabbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17187 solved: rounds:3,rules:2,peak:3,longest:6,steps:3,word:0,work:48,nodes:18,pairs:6,completionMax:12us [11m11s] 17187 ab:aaab=1,aabbab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17187 ab:aaab=1,aabbab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17188 solved: rounds:3,rules:2,peak:6,longest:8,steps:2,word:3,work:284,nodes:24,pairs:18,completionMax:72us [11m11s] 17188 ab:aaab=1,aabbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17188 ab:aaab=1,aabbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17189 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:501,nodes:24,pairs:18,completionMax:67us [11m11s] 17189 ab:aaab=1,aabbba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17189 ab:aaab=1,aabbba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17190 solved: rounds:3,rules:2,peak:6,longest:11,steps:4,word:7,work:302,nodes:30,pairs:12,completionMax:49us [11m11s] 17190 ab:aaab=1,aabbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17190 ab:aaab=1,aabbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17191 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:3,work:203,nodes:18,pairs:12,completionMax:32us [11m11s] 17191 ab:aaab=1,aabbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17191 ab:aaab=1,aabbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17192 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:305,nodes:16,pairs:28,completionMax:45us [11m11s] 17192 ab:aaab=1,abaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17192 ab:aaab=1,abaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17193 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:1,work:203,nodes:18,pairs:14,completionMax:35us [11m11s] 17193 ab:aaab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17193 ab:aaab=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17194 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:11us [11m11s] 17194 ab:aaab=1,abaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17194 ab:aaab=1,abaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17195 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:8,pairs:2,completionMax:4us [11m11s] 17195 ab:aaab=1,abaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17195 ab:aaab=1,abaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17196 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:0,work:290,nodes:18,pairs:20,completionMax:45us [11m11s] 17196 ab:aaab=1,abaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17196 ab:aaab=1,abaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17197 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:0,work:1007,nodes:30,pairs:34,completionMax:121us [11m11s] 17197 ab:aaab=1,abaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17197 ab:aaab=1,abaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17198 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:3,work:108,nodes:18,pairs:5,completionMax:27us [11m11s] 17198 ab:aaab=1,abaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17198 ab:aaab=1,abaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17199 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:0,work:20,nodes:18,pairs:4,completionMax:10us [11m11s] 17199 ab:aaab=1,abaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17199 ab:aaab=1,abaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17200 solved: rounds:2,rules:2,peak:7,longest:6,steps:2,word:0,work:337,nodes:18,pairs:23,completionMax:48us [11m11s] 17200 ab:aaab=1,ababaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17200 ab:aaab=1,ababaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17201 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:1126,nodes:28,pairs:40,completionMax:123us [11m11s] 17201 ab:aaab=1,ababaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17201 ab:aaab=1,ababaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17202 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:3,work:152,nodes:18,pairs:12,completionMax:29us [11m11s] 17202 ab:aaab=1,ababab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17202 ab:aaab=1,ababab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17203 solved: rounds:3,rules:2,peak:4,longest:6,steps:6,word:0,work:211,nodes:22,pairs:10,completionMax:23us [11m11s] 17203 ab:aaab=1,ababab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17203 ab:aaab=1,ababab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17204 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:3,work:360,nodes:26,pairs:17,completionMax:76us [11m11s] 17204 ab:aaab=1,ababba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17204 ab:aaab=1,ababba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17205 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:0,work:711,nodes:26,pairs:22,completionMax:70us [11m11s] 17205 ab:aaab=1,ababba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17205 ab:aaab=1,ababba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17206 solved: rounds:3,rules:2,peak:5,longest:11,steps:2,word:7,work:178,nodes:30,pairs:8,completionMax:32us [11m11s] 17206 ab:aaab=1,ababbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17206 ab:aaab=1,ababbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17207 solved: rounds:4,rules:2,peak:5,longest:8,steps:2,word:3,work:155,nodes:24,pairs:10,completionMax:49us [11m11s] 17207 ab:aaab=1,ababbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17207 ab:aaab=1,ababbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17208 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:332,nodes:22,pairs:19,completionMax:46us [11m11s] 17208 ab:aaab=1,abbaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17208 ab:aaab=1,abbaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17209 solved: rounds:3,rules:2,peak:9,longest:6,steps:8,word:0,work:1017,nodes:26,pairs:31,completionMax:100us [11m11s] 17209 ab:aaab=1,abbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17209 ab:aaab=1,abbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17210 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:6,work:551,nodes:26,pairs:26,completionMax:78us [11m11s] 17210 ab:aaab=1,abbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17210 ab:aaab=1,abbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17211 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:193,nodes:22,pairs:14,completionMax:31us [11m11s] 17211 ab:aaab=1,abbaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17211 ab:aaab=1,abbaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17212 solved: rounds:3,rules:2,peak:8,longest:8,steps:2,word:3,work:612,nodes:32,pairs:37,completionMax:131us [11m11s] 17212 ab:aaab=1,abbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17212 ab:aaab=1,abbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17213 solved: rounds:3,rules:2,peak:11,longest:6,steps:6,word:0,work:1004,nodes:28,pairs:23,completionMax:105us [11m11s] 17213 ab:aaab=1,abbaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17213 ab:aaab=1,abbaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17214 solved: rounds:3,rules:2,peak:7,longest:11,steps:7,word:7,work:641,nodes:24,pairs:28,completionMax:82us [11m11s] 17214 ab:aaab=1,abbabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17214 ab:aaab=1,abbabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17215 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:331,nodes:24,pairs:29,completionMax:56us [11m11s] 17215 ab:aaab=1,abbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17215 ab:aaab=1,abbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17216 solved: rounds:3,rules:2,peak:8,longest:7,steps:8,word:6,work:734,nodes:28,pairs:35,completionMax:73us [11m11s] 17216 ab:aaab=1,abbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17216 ab:aaab=1,abbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17217 solved: rounds:2,rules:2,peak:12,longest:6,steps:5,word:0,work:977,nodes:30,pairs:29,completionMax:124us [11m11s] 17217 ab:aaab=1,abbbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17217 ab:aaab=1,abbbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17218 solved: rounds:3,rules:2,peak:7,longest:11,steps:3,word:14,work:641,nodes:24,pairs:33,completionMax:96us [11m11s] 17218 ab:aaab=1,abbbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17218 ab:aaab=1,abbbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17219 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:3,work:604,nodes:30,pairs:25,completionMax:76us [11m11s] 17219 ab:aaab=1,abbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17219 ab:aaab=1,abbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17220 solved: rounds:3,rules:2,peak:7,longest:11,steps:3,word:7,work:506,nodes:26,pairs:29,completionMax:85us [11m11s] 17220 ab:aaab=1,abbbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17220 ab:aaab=1,abbbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17221 solved: rounds:3,rules:2,peak:8,longest:8,steps:9,word:3,work:1325,nodes:34,pairs:26,completionMax:119us [11m11s] 17221 ab:aaab=1,abbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17221 ab:aaab=1,abbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17222 solved: rounds:5,rules:2,peak:5,longest:15,steps:4,word:11,work:334,nodes:30,pairs:18,completionMax:55us [11m11s] 17222 ab:aaab=1,abbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17222 ab:aaab=1,abbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17223 solved: rounds:4,rules:2,peak:9,longest:11,steps:9,word:7,work:1186,nodes:32,pairs:46,completionMax:184us [11m11s] 17223 ab:aaab=1,abbbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17223 ab:aaab=1,abbbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17224 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:421,nodes:22,pairs:30,completionMax:57us [11m11s] 17224 ab:aaab=1,baaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17224 ab:aaab=1,baaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17225 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:229,nodes:20,pairs:10,completionMax:45us [11m11s] 17225 ab:aaab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17225 ab:aaab=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17226 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:47,nodes:10,pairs:4,completionMax:18us [11m11s] 17226 ab:aaab=1,baaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17226 ab:aaab=1,baaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17227 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:36,nodes:10,pairs:5,completionMax:14us [11m11s] 17227 ab:aaab=1,baaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17227 ab:aaab=1,baaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17228 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:46,nodes:10,pairs:4,completionMax:17us [11m11s] 17228 ab:aaab=1,baaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17228 ab:aaab=1,baaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17229 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:35,nodes:10,pairs:5,completionMax:11us [11m11s] 17229 ab:aaab=1,baaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17229 ab:aaab=1,baaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17230 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:21,nodes:14,pairs:4,completionMax:12us [11m11s] 17230 ab:aaab=1,baaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17230 ab:aaab=1,baaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17231 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:10,pairs:2,completionMax:7us [11m11s] 17231 ab:aaab=1,baaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17231 ab:aaab=1,baaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17232 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:426,nodes:22,pairs:31,completionMax:75us [11m11s] 17232 ab:aaab=1,baabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17232 ab:aaab=1,baabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17233 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:0,work:969,nodes:28,pairs:42,completionMax:105us [11m11s] 17233 ab:aaab=1,baabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17233 ab:aaab=1,baabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17234 solved: rounds:2,rules:2,peak:8,longest:8,steps:3,word:3,work:666,nodes:32,pairs:14,completionMax:71us [11m11s] 17234 ab:aaab=1,baabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17234 ab:aaab=1,baabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17235 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:39,nodes:22,pairs:5,completionMax:16us [11m11s] 17235 ab:aaab=1,baabab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17235 ab:aaab=1,baabab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17236 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:6,work:650,nodes:28,pairs:27,completionMax:94us [11m11s] 17236 ab:aaab=1,baabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17236 ab:aaab=1,baabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17237 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:657,nodes:26,pairs:32,completionMax:79us [11m11s] 17237 ab:aaab=1,baabba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17237 ab:aaab=1,baabba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17238 solved: rounds:3,rules:2,peak:8,longest:12,steps:12,word:7,work:1134,nodes:40,pairs:15,completionMax:105us [11m11s] 17238 ab:aaab=1,baabbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17238 ab:aaab=1,baabbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17239 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:3,work:67,nodes:22,pairs:6,completionMax:28us [11m11s] 17239 ab:aaab=1,baabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17239 ab:aaab=1,baabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17240 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:344,nodes:20,pairs:21,completionMax:60us [11m11s] 17240 ab:aaab=1,babaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17240 ab:aaab=1,babaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17241 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:576,nodes:28,pairs:31,completionMax:80us [11m11s] 17241 ab:aaab=1,babaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17241 ab:aaab=1,babaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17242 solved: rounds:3,rules:2,peak:8,longest:7,steps:2,word:3,work:578,nodes:34,pairs:43,completionMax:108us [11m11s] 17242 ab:aaab=1,babaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17242 ab:aaab=1,babaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17243 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:118,nodes:24,pairs:14,completionMax:34us [11m11s] 17243 ab:aaab=1,babaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17243 ab:aaab=1,babaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17244 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:3,work:759,nodes:30,pairs:28,completionMax:108us [11m11s] 17244 ab:aaab=1,bababa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17244 ab:aaab=1,bababa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17245 solved: rounds:3,rules:2,peak:9,longest:6,steps:6,word:0,work:1098,nodes:26,pairs:36,completionMax:109us [11m11s] 17245 ab:aaab=1,bababa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17245 ab:aaab=1,bababa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17246 solved: rounds:3,rules:2,peak:5,longest:12,steps:3,word:7,work:531,nodes:40,pairs:17,completionMax:72us [11m11s] 17246 ab:aaab=1,bababb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17246 ab:aaab=1,bababb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17247 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:3,work:69,nodes:24,pairs:4,completionMax:23us [11m11s] 17247 ab:aaab=1,bababb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17247 ab:aaab=1,bababb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17248 solved: rounds:3,rules:2,peak:9,longest:8,steps:8,word:6,work:972,nodes:30,pairs:42,completionMax:107us [11m11s] 17248 ab:aaab=1,babbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17248 ab:aaab=1,babbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17249 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:0,work:990,nodes:24,pairs:34,completionMax:75us [11m11s] 17249 ab:aaab=1,babbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17249 ab:aaab=1,babbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17250 solved: rounds:2,rules:2,peak:10,longest:11,steps:5,word:7,work:1424,nodes:44,pairs:27,completionMax:137us [11m11s] 17250 ab:aaab=1,babbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17250 ab:aaab=1,babbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17251 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:3,work:362,nodes:24,pairs:20,completionMax:65us [11m11s] 17251 ab:aaab=1,babbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17251 ab:aaab=1,babbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17252 solved: rounds:4,rules:2,peak:9,longest:11,steps:7,word:7,work:1336,nodes:34,pairs:33,completionMax:110us [11m11s] 17252 ab:aaab=1,babbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17252 ab:aaab=1,babbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17253 solved: rounds:3,rules:2,peak:10,longest:7,steps:18,word:6,work:3334,nodes:36,pairs:69,completionMax:246us [11m11s] 17253 ab:aaab=1,babbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17253 ab:aaab=1,babbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17254 solved: rounds:5,rules:2,peak:9,longest:15,steps:7,word:11,work:1692,nodes:36,pairs:51,completionMax:232us [11m11s] 17254 ab:aaab=1,babbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17254 ab:aaab=1,babbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17255 solved: rounds:4,rules:2,peak:6,longest:11,steps:4,word:7,work:293,nodes:24,pairs:17,completionMax:54us [11m11s] 17255 ab:aaab=1,babbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17255 ab:aaab=1,babbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17256 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:308,nodes:26,pairs:18,completionMax:52us [11m11s] 17256 ab:aaab=1,bbaaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17256 ab:aaab=1,bbaaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17257 solved: rounds:3,rules:2,peak:9,longest:6,steps:6,word:0,work:573,nodes:24,pairs:30,completionMax:76us [11m11s] 17257 ab:aaab=1,bbaaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17257 ab:aaab=1,bbaaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17258 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:22,nodes:14,pairs:4,completionMax:14us [11m11s] 17258 ab:aaab=1,bbaaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17258 ab:aaab=1,bbaaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17259 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:2,completionMax:7us [11m11s] 17259 ab:aaab=1,bbaaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17259 ab:aaab=1,bbaaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17260 solved: rounds:4,rules:2,peak:10,longest:8,steps:2,word:3,work:926,nodes:30,pairs:51,completionMax:158us [11m11s] 17260 ab:aaab=1,bbaaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17260 ab:aaab=1,bbaaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17261 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:124,nodes:24,pairs:14,completionMax:32us [11m11s] 17261 ab:aaab=1,bbaaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17261 ab:aaab=1,bbaaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17262 solved: rounds:2,rules:2,peak:6,longest:11,steps:3,word:7,work:652,nodes:38,pairs:22,completionMax:66us [11m11s] 17262 ab:aaab=1,bbaabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17262 ab:aaab=1,bbaabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17263 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:3,work:585,nodes:24,pairs:28,completionMax:52us [11m11s] 17263 ab:aaab=1,bbaabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17263 ab:aaab=1,bbaabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17264 solved: rounds:3,rules:2,peak:9,longest:8,steps:3,word:3,work:723,nodes:30,pairs:38,completionMax:127us [11m11s] 17264 ab:aaab=1,bbabaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17264 ab:aaab=1,bbabaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17265 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:481,nodes:24,pairs:19,completionMax:53us [11m11s] 17265 ab:aaab=1,bbabaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17265 ab:aaab=1,bbabaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17266 solved: rounds:3,rules:2,peak:9,longest:11,steps:3,word:7,work:1088,nodes:32,pairs:48,completionMax:116us [11m11s] 17266 ab:aaab=1,bbabab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17266 ab:aaab=1,bbabab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17267 solved: rounds:4,rules:2,peak:5,longest:8,steps:7,word:6,work:400,nodes:26,pairs:12,completionMax:51us [11m11s] 17267 ab:aaab=1,bbabab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17267 ab:aaab=1,bbabab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17268 solved: rounds:3,rules:2,peak:10,longest:11,steps:3,word:7,work:1351,nodes:36,pairs:47,completionMax:201us [11m11s] 17268 ab:aaab=1,bbabba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17268 ab:aaab=1,bbabba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17269 solved: rounds:3,rules:2,peak:11,longest:7,steps:3,word:3,work:2645,nodes:32,pairs:87,completionMax:591us [11m11s] 17269 ab:aaab=1,bbabba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17269 ab:aaab=1,bbabba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17270 solved: rounds:3,rules:2,peak:13,longest:15,steps:5,word:11,work:3201,nodes:44,pairs:53,completionMax:387us [11m11s] 17270 ab:aaab=1,bbabbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17270 ab:aaab=1,bbabbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17271 solved: rounds:5,rules:2,peak:8,longest:16,steps:11,word:14,work:1951,nodes:40,pairs:45,completionMax:173us [11m11s] 17271 ab:aaab=1,bbabbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17271 ab:aaab=1,bbabbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17272 solved: rounds:2,rules:2,peak:10,longest:8,steps:18,word:6,work:1216,nodes:28,pairs:23,completionMax:118us [11m11s] 17272 ab:aaab=1,bbbaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17272 ab:aaab=1,bbbaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17273 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:557,nodes:24,pairs:22,completionMax:64us [11m11s] 17273 ab:aaab=1,bbbaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17273 ab:aaab=1,bbbaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17274 solved: rounds:3,rules:2,peak:9,longest:11,steps:3,word:7,work:859,nodes:28,pairs:40,completionMax:88us [11m11s] 17274 ab:aaab=1,bbbaab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17274 ab:aaab=1,bbbaab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17275 solved: rounds:4,rules:2,peak:5,longest:7,steps:2,word:3,work:168,nodes:22,pairs:19,completionMax:37us [11m11s] 17275 ab:aaab=1,bbbaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17275 ab:aaab=1,bbbaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17276 solved: rounds:4,rules:2,peak:10,longest:11,steps:11,word:14,work:1556,nodes:38,pairs:50,completionMax:154us [11m11s] 17276 ab:aaab=1,bbbaba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17276 ab:aaab=1,bbbaba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17277 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:718,nodes:28,pairs:49,completionMax:199us [11m11s] 17277 ab:aaab=1,bbbaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17277 ab:aaab=1,bbbaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17278 solved: rounds:4,rules:2,peak:16,longest:27,steps:25,word:33,work:26739,nodes:80,pairs:129,completionMax:1225us [11m11s] 17278 ab:aaab=1,bbbabb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17278 ab:aaab=1,bbbabb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17279 solved: rounds:5,rules:2,peak:8,longest:16,steps:11,word:14,work:1858,nodes:40,pairs:45,completionMax:124us [11m11s] 17279 ab:aaab=1,bbbabb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17279 ab:aaab=1,bbbabb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17280 solved: rounds:3,rules:2,peak:11,longest:11,steps:11,word:14,work:3368,nodes:42,pairs:53,completionMax:167us [11m11s] 17280 ab:aaab=1,bbbbaa=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17280 ab:aaab=1,bbbbaa=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17281 solved: rounds:3,rules:2,peak:10,longest:7,steps:12,word:3,work:1740,nodes:26,pairs:58,completionMax:133us [11m11s] 17281 ab:aaab=1,bbbbaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17281 ab:aaab=1,bbbbaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17282 solved: rounds:5,rules:2,peak:10,longest:15,steps:10,word:11,work:1658,nodes:36,pairs:55,completionMax:228us [11m11s] 17282 ab:aaab=1,bbbbab=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17282 ab:aaab=1,bbbbab=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17283 solved: rounds:5,rules:2,peak:6,longest:11,steps:5,word:7,work:354,nodes:22,pairs:20,completionMax:65us [11m11s] 17283 ab:aaab=1,bbbbab=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17283 ab:aaab=1,bbbbab=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17284 solved: rounds:5,rules:2,peak:7,longest:15,steps:6,word:11,work:614,nodes:30,pairs:31,completionMax:90us [11m11s] 17284 ab:aaab=1,bbbbba=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17284 ab:aaab=1,bbbbba=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17285 solved: rounds:5,rules:2,peak:12,longest:11,steps:11,word:7,work:3865,nodes:32,pairs:122,completionMax:368us [11m11s] 17285 ab:aaab=1,bbbbba=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17285 ab:aaab=1,bbbbba=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17286 solved: rounds:6,rules:2,peak:4,longest:19,steps:12,word:15,work:1708,nodes:38,pairs:24,completionMax:73us [11m11s] 17286 ab:aaab=1,bbbbbb=a finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b6;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaa [11m11s] from: 17286 ab:aaab=1,bbbbbb=a finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b6;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m11s] # 17287 solved: rounds:6,rules:2,peak:5,longest:15,steps:4,word:11,work:376,nodes:30,pairs:19,completionMax:59us [11m11s] 17287 ab:aaab=1,bbbbbb=b finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17287 ab:aaab=1,bbbbbb=b finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17288 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:1,work:190,nodes:16,pairs:14,completionMax:31us [11m11s] 17288 ab:aaba=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17288 ab:aaba=1,aaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17289 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:5,work:5,nodes:18,pairs:1,completionMax:10us [11m11s] 17289 ab:aaba=1,aaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17289 ab:aaba=1,aaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17290 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:197,nodes:16,pairs:20,completionMax:41us [11m11s] 17290 ab:aaba=1,aaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17290 ab:aaba=1,aaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17291 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:95,nodes:16,pairs:10,completionMax:32us [11m11s] 17291 ab:aaba=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17291 ab:aaba=1,aaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17292 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:46,nodes:8,pairs:4,completionMax:13us [11m11s] 17292 ab:aaba=1,aaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17292 ab:aaba=1,aaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17293 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:11,nodes:10,pairs:1,completionMax:10us [11m11s] 17293 ab:aaba=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17293 ab:aaba=1,aaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17294 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:127,nodes:18,pairs:14,completionMax:38us [11m11s] 17294 ab:aaba=1,aaaabb=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17294 ab:aaba=1,aaaabb=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17295 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:258,nodes:18,pairs:15,completionMax:37us [11m11s] 17295 ab:aaba=1,aaaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17295 ab:aaba=1,aaaabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17296 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:8,pairs:4,completionMax:13us [11m11s] 17296 ab:aaba=1,aaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17296 ab:aaba=1,aaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17297 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:10,nodes:10,pairs:1,completionMax:8us [11m11s] 17297 ab:aaba=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17297 ab:aaba=1,aaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17298 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:6us [11m11s] 17298 ab:aaba=1,aaabab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17298 ab:aaba=1,aaabab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17299 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:28,nodes:8,pairs:5,completionMax:9us [11m11s] 17299 ab:aaba=1,aaabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17299 ab:aaba=1,aaabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17300 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:227,nodes:18,pairs:15,completionMax:49us [11m11s] 17300 ab:aaba=1,aaabba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17300 ab:aaba=1,aaabba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17301 solved: rounds:3,rules:2,peak:8,longest:6,steps:7,word:0,work:696,nodes:18,pairs:28,completionMax:78us [11m11s] 17301 ab:aaba=1,aaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17301 ab:aaba=1,aaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17302 solved: rounds:3,rules:2,peak:6,longest:7,steps:8,word:3,work:403,nodes:24,pairs:19,completionMax:55us [11m11s] 17302 ab:aaba=1,aaabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17302 ab:aaba=1,aaabbb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17303 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:0,work:295,nodes:18,pairs:15,completionMax:51us [11m11s] 17303 ab:aaba=1,aaabbb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17303 ab:aaba=1,aaabbb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17304 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:8,pairs:4,completionMax:13us [11m11s] 17304 ab:aaba=1,aabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17304 ab:aaba=1,aabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17305 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:9,nodes:10,pairs:1,completionMax:8us [11m11s] 17305 ab:aaba=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17305 ab:aaba=1,aabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17306 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:8us [11m11s] 17306 ab:aaba=1,aabaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17306 ab:aaba=1,aabaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17307 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:27,nodes:8,pairs:5,completionMax:9us [11m11s] 17307 ab:aaba=1,aabaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17307 ab:aaba=1,aabaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17308 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:10,pairs:3,completionMax:7us [11m11s] 17308 ab:aaba=1,aababa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17308 ab:aaba=1,aababa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17309 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:50,nodes:10,pairs:8,completionMax:12us [11m11s] 17309 ab:aaba=1,aababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17309 ab:aaba=1,aababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17310 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:56,nodes:16,pairs:4,completionMax:12us [11m11s] 17310 ab:aaba=1,aababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17310 ab:aaba=1,aababb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17311 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:58,nodes:12,pairs:5,completionMax:17us [11m11s] 17311 ab:aaba=1,aababb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17311 ab:aaba=1,aababb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17312 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:314,nodes:18,pairs:22,completionMax:53us [11m11s] 17312 ab:aaba=1,aabbaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17312 ab:aaba=1,aabbaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17313 solved: rounds:2,rules:2,peak:8,longest:6,steps:8,word:0,work:742,nodes:24,pairs:50,completionMax:119us [11m11s] 17313 ab:aaba=1,aabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17313 ab:aaba=1,aabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17314 solved: rounds:3,rules:2,peak:10,longest:11,steps:20,word:9,work:1840,nodes:36,pairs:29,completionMax:103us [11m11s] 17314 ab:aaba=1,aabbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17314 ab:aaba=1,aabbab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17315 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:0,work:567,nodes:18,pairs:20,completionMax:68us [11m11s] 17315 ab:aaba=1,aabbab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17315 ab:aaba=1,aabbab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17316 solved: rounds:4,rules:2,peak:6,longest:7,steps:8,word:3,work:407,nodes:22,pairs:23,completionMax:66us [11m11s] 17316 ab:aaba=1,aabbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17316 ab:aaba=1,aabbba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17317 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:636,nodes:20,pairs:30,completionMax:89us [11m11s] 17317 ab:aaba=1,aabbba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17317 ab:aaba=1,aabbba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17318 solved: rounds:4,rules:2,peak:12,longest:12,steps:18,word:7,work:3882,nodes:58,pairs:65,completionMax:227us [11m11s] 17318 ab:aaba=1,aabbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17318 ab:aaba=1,aabbbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17319 solved: rounds:5,rules:2,peak:8,longest:9,steps:9,word:3,work:1388,nodes:36,pairs:26,completionMax:83us [11m11s] 17319 ab:aaba=1,aabbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17319 ab:aaba=1,aabbbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17320 solved: rounds:1,rules:2,peak:7,longest:6,steps:5,word:0,work:236,nodes:16,pairs:5,completionMax:35us [11m11s] 17320 ab:aaba=1,abaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17320 ab:aaba=1,abaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17321 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:3,work:251,nodes:26,pairs:17,completionMax:37us [11m11s] 17321 ab:aaba=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17321 ab:aaba=1,abaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17322 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:170,nodes:22,pairs:23,completionMax:39us [11m11s] 17322 ab:aaba=1,abaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17322 ab:aaba=1,abaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17323 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:306,nodes:18,pairs:24,completionMax:30us [11m11s] 17323 ab:aaba=1,abaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17323 ab:aaba=1,abaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17324 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:8,pairs:2,completionMax:7us [11m11s] 17324 ab:aaba=1,abaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17324 ab:aaba=1,abaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17325 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:8,pairs:5,completionMax:6us [11m11s] 17325 ab:aaba=1,abaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17325 ab:aaba=1,abaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17326 solved: rounds:2,rules:2,peak:8,longest:7,steps:20,word:6,work:715,nodes:22,pairs:14,completionMax:53us [11m11s] 17326 ab:aaba=1,abaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17326 ab:aaba=1,abaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17327 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:223,nodes:22,pairs:17,completionMax:29us [11m11s] 17327 ab:aaba=1,abaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17327 ab:aaba=1,abaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17328 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:361,nodes:20,pairs:27,completionMax:43us [11m11s] 17328 ab:aaba=1,ababaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17328 ab:aaba=1,ababaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17329 solved: rounds:2,rules:2,peak:12,longest:6,steps:5,word:0,work:947,nodes:22,pairs:31,completionMax:102us [11m11s] 17329 ab:aaba=1,ababaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17329 ab:aaba=1,ababaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17330 solved: rounds:2,rules:2,peak:6,longest:14,steps:16,word:9,work:626,nodes:42,pairs:18,completionMax:73us [11m11s] 17330 ab:aaba=1,ababab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17330 ab:aaba=1,ababab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17331 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:249,nodes:20,pairs:16,completionMax:40us [11m11s] 17331 ab:aaba=1,ababab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17331 ab:aaba=1,ababab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17332 solved: rounds:2,rules:2,peak:6,longest:7,steps:20,word:6,work:1071,nodes:28,pairs:20,completionMax:64us [11m11s] 17332 ab:aaba=1,ababba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17332 ab:aaba=1,ababba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17333 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:730,nodes:26,pairs:38,completionMax:84us [11m11s] 17333 ab:aaba=1,ababba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17333 ab:aaba=1,ababba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17334 solved: rounds:4,rules:2,peak:5,longest:11,steps:8,word:7,work:443,nodes:24,pairs:19,completionMax:64us [11m11s] 17334 ab:aaba=1,ababbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17334 ab:aaba=1,ababbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17335 solved: rounds:4,rules:2,peak:8,longest:13,steps:11,word:6,work:2732,nodes:44,pairs:32,completionMax:127us [11m11s] 17335 ab:aaba=1,ababbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17335 ab:aaba=1,ababbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17336 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:423,nodes:24,pairs:17,completionMax:52us [11m11s] 17336 ab:aaba=1,abbaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17336 ab:aaba=1,abbaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17337 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:0,work:617,nodes:22,pairs:60,completionMax:117us [11m11s] 17337 ab:aaba=1,abbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17337 ab:aaba=1,abbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17338 solved: rounds:3,rules:2,peak:8,longest:7,steps:8,word:6,work:1121,nodes:28,pairs:30,completionMax:102us [11m11s] 17338 ab:aaba=1,abbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17338 ab:aaba=1,abbaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17339 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:458,nodes:28,pairs:33,completionMax:65us [11m11s] 17339 ab:aaba=1,abbaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17339 ab:aaba=1,abbaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17340 solved: rounds:4,rules:2,peak:7,longest:7,steps:7,word:3,work:543,nodes:26,pairs:26,completionMax:74us [11m11s] 17340 ab:aaba=1,abbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17340 ab:aaba=1,abbaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17341 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:643,nodes:24,pairs:30,completionMax:73us [11m11s] 17341 ab:aaba=1,abbaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17341 ab:aaba=1,abbaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17342 solved: rounds:5,rules:2,peak:9,longest:16,steps:28,word:14,work:3315,nodes:40,pairs:39,completionMax:229us [11m11s] 17342 ab:aaba=1,abbabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17342 ab:aaba=1,abbabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17343 solved: rounds:4,rules:2,peak:10,longest:12,steps:41,word:6,work:6708,nodes:42,pairs:29,completionMax:219us [11m11s] 17343 ab:aaba=1,abbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17343 ab:aaba=1,abbabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17344 solved: rounds:3,rules:2,peak:10,longest:7,steps:6,word:9,work:1285,nodes:28,pairs:65,completionMax:201us [11m11s] 17344 ab:aaba=1,abbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17344 ab:aaba=1,abbbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17345 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:953,nodes:28,pairs:29,completionMax:116us [11m11s] 17345 ab:aaba=1,abbbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17345 ab:aaba=1,abbbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17346 solved: rounds:5,rules:2,peak:8,longest:16,steps:11,word:14,work:1878,nodes:40,pairs:41,completionMax:167us [11m11s] 17346 ab:aaba=1,abbbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17346 ab:aaba=1,abbbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17347 solved: rounds:4,rules:2,peak:9,longest:11,steps:8,word:6,work:3091,nodes:32,pairs:43,completionMax:194us [11m11s] 17347 ab:aaba=1,abbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17347 ab:aaba=1,abbbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17348 solved: rounds:6,rules:2,peak:6,longest:11,steps:9,word:7,work:895,nodes:24,pairs:24,completionMax:89us [11m11s] 17348 ab:aaba=1,abbbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17348 ab:aaba=1,abbbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17349 solved: rounds:4,rules:2,peak:11,longest:11,steps:16,word:9,work:5280,nodes:36,pairs:59,completionMax:280us [11m11s] 17349 ab:aaba=1,abbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17349 ab:aaba=1,abbbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17350 solved: rounds:7,rules:2,peak:8,longest:15,steps:8,word:11,work:1358,nodes:34,pairs:25,completionMax:126us [11m11s] 17350 ab:aaba=1,abbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17350 ab:aaba=1,abbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17351 solved: rounds:7,rules:2,peak:7,longest:11,steps:14,word:7,work:2069,nodes:30,pairs:31,completionMax:116us [11m11s] 17351 ab:aaba=1,abbbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17351 ab:aaba=1,abbbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17352 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:362,nodes:22,pairs:26,completionMax:60us [11m11s] 17352 ab:aaba=1,baaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17352 ab:aaba=1,baaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17353 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:2,work:481,nodes:24,pairs:20,completionMax:88us [11m11s] 17353 ab:aaba=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17353 ab:aaba=1,baaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17354 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:220,nodes:22,pairs:22,completionMax:34us [11m11s] 17354 ab:aaba=1,baaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17354 ab:aaba=1,baaaab=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17355 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:295,nodes:22,pairs:21,completionMax:33us [11m11s] 17355 ab:aaba=1,baaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17355 ab:aaba=1,baaaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17356 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:10,pairs:3,completionMax:5us [11m11s] 17356 ab:aaba=1,baaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17356 ab:aaba=1,baaaba=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17357 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:52,nodes:10,pairs:8,completionMax:12us [11m11s] 17357 ab:aaba=1,baaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17357 ab:aaba=1,baaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17358 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:6,work:327,nodes:22,pairs:16,completionMax:44us [11m11s] 17358 ab:aaba=1,baaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17358 ab:aaba=1,baaabb=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17359 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:134,nodes:20,pairs:10,completionMax:29us [11m11s] 17359 ab:aaba=1,baaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17359 ab:aaba=1,baaabb=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17360 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:10,pairs:3,completionMax:7us [11m11s] 17360 ab:aaba=1,baabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17360 ab:aaba=1,baabaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17361 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:51,nodes:10,pairs:8,completionMax:17us [11m11s] 17361 ab:aaba=1,baabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17361 ab:aaba=1,baabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17362 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:57,nodes:16,pairs:4,completionMax:16us [11m11s] 17362 ab:aaba=1,baabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17362 ab:aaba=1,baabab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17363 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:12,pairs:5,completionMax:15us [11m11s] 17363 ab:aaba=1,baabab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17363 ab:aaba=1,baabab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17364 solved: rounds:2,rules:2,peak:6,longest:14,steps:17,word:9,work:702,nodes:44,pairs:20,completionMax:92us [11m11s] 17364 ab:aaba=1,baabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17364 ab:aaba=1,baabba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17365 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:407,nodes:22,pairs:30,completionMax:50us [11m11s] 17365 ab:aaba=1,baabba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17365 ab:aaba=1,baabba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17366 solved: rounds:2,rules:2,peak:8,longest:11,steps:9,word:14,work:1665,nodes:42,pairs:18,completionMax:132us [11m11s] 17366 ab:aaba=1,baabbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17366 ab:aaba=1,baabbb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17367 solved: rounds:3,rules:2,peak:9,longest:11,steps:23,word:9,work:1605,nodes:32,pairs:21,completionMax:90us [11m11s] 17367 ab:aaba=1,baabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17367 ab:aaba=1,baabbb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17368 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:273,nodes:22,pairs:20,completionMax:53us [11m11s] 17368 ab:aaba=1,babaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17368 ab:aaba=1,babaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17369 solved: rounds:2,rules:2,peak:11,longest:6,steps:5,word:0,work:631,nodes:26,pairs:26,completionMax:94us [11m11s] 17369 ab:aaba=1,babaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17369 ab:aaba=1,babaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17370 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:6,work:265,nodes:18,pairs:20,completionMax:47us [11m11s] 17370 ab:aaba=1,babaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17370 ab:aaba=1,babaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17371 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:257,nodes:22,pairs:22,completionMax:50us [11m11s] 17371 ab:aaba=1,babaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17371 ab:aaba=1,babaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17372 solved: rounds:3,rules:2,peak:6,longest:8,steps:5,word:6,work:565,nodes:28,pairs:16,completionMax:77us [11m11s] 17372 ab:aaba=1,bababa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17372 ab:aaba=1,bababa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17373 solved: rounds:2,rules:2,peak:6,longest:6,steps:6,word:0,work:490,nodes:24,pairs:26,completionMax:64us [11m11s] 17373 ab:aaba=1,bababa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17373 ab:aaba=1,bababa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17374 solved: rounds:3,rules:2,peak:8,longest:11,steps:9,word:21,work:1802,nodes:24,pairs:49,completionMax:155us [11m11s] 17374 ab:aaba=1,bababb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17374 ab:aaba=1,bababb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17375 solved: rounds:3,rules:2,peak:9,longest:11,steps:20,word:9,work:1681,nodes:40,pairs:32,completionMax:98us [11m11s] 17375 ab:aaba=1,bababb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17375 ab:aaba=1,bababb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17376 solved: rounds:3,rules:2,peak:11,longest:14,steps:19,word:9,work:1659,nodes:46,pairs:33,completionMax:182us [11m11s] 17376 ab:aaba=1,babbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17376 ab:aaba=1,babbaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17377 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:429,nodes:26,pairs:30,completionMax:64us [11m11s] 17377 ab:aaba=1,babbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17377 ab:aaba=1,babbaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17378 solved: rounds:3,rules:2,peak:11,longest:14,steps:9,word:14,work:3069,nodes:50,pairs:37,completionMax:202us [11m11s] 17378 ab:aaba=1,babbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17378 ab:aaba=1,babbab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17379 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:3,work:754,nodes:22,pairs:36,completionMax:88us [11m11s] 17379 ab:aaba=1,babbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17379 ab:aaba=1,babbab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17380 solved: rounds:3,rules:2,peak:11,longest:11,steps:17,word:7,work:2418,nodes:30,pairs:45,completionMax:189us [11m11s] 17380 ab:aaba=1,babbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17380 ab:aaba=1,babbba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17381 solved: rounds:3,rules:2,peak:10,longest:11,steps:58,word:9,work:5013,nodes:38,pairs:42,completionMax:246us [11m11s] 17381 ab:aaba=1,babbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17381 ab:aaba=1,babbba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17382 solved: rounds:4,rules:2,peak:9,longest:15,steps:14,word:11,work:2295,nodes:30,pairs:27,completionMax:109us [11m11s] 17382 ab:aaba=1,babbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17382 ab:aaba=1,babbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17383 solved: rounds:5,rules:2,peak:7,longest:16,steps:10,word:14,work:2415,nodes:40,pairs:60,completionMax:311us [11m11s] 17383 ab:aaba=1,babbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17383 ab:aaba=1,babbbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17384 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:236,nodes:20,pairs:10,completionMax:30us [11m11s] 17384 ab:aaba=1,bbaaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17384 ab:aaba=1,bbaaaa=a finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17385 solved: rounds:3,rules:2,peak:9,longest:6,steps:8,word:0,work:703,nodes:24,pairs:24,completionMax:90us [11m11s] 17385 ab:aaba=1,bbaaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17385 ab:aaba=1,bbaaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17386 solved: rounds:2,rules:2,peak:8,longest:7,steps:20,word:6,work:1228,nodes:28,pairs:17,completionMax:80us [11m11s] 17386 ab:aaba=1,bbaaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17386 ab:aaba=1,bbaaab=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17387 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:111,nodes:20,pairs:9,completionMax:24us [11m11s] 17387 ab:aaba=1,bbaaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17387 ab:aaba=1,bbaaab=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17388 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:58,nodes:16,pairs:4,completionMax:16us [11m11s] 17388 ab:aaba=1,bbaaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17388 ab:aaba=1,bbaaba=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17389 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:60,nodes:12,pairs:5,completionMax:13us [11m11s] 17389 ab:aaba=1,bbaaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17389 ab:aaba=1,bbaaba=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17390 solved: rounds:3,rules:2,peak:12,longest:12,steps:15,word:14,work:4769,nodes:64,pairs:54,completionMax:308us [11m11s] 17390 ab:aaba=1,bbaabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17390 ab:aaba=1,bbaabb=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17391 solved: rounds:5,rules:2,peak:11,longest:12,steps:30,word:9,work:4653,nodes:44,pairs:34,completionMax:239us [11m11s] 17391 ab:aaba=1,bbaabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17391 ab:aaba=1,bbaabb=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17392 solved: rounds:3,rules:2,peak:7,longest:15,steps:22,word:9,work:1024,nodes:40,pairs:31,completionMax:122us [11m11s] 17392 ab:aaba=1,bbabaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17392 ab:aaba=1,bbabaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17393 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:341,nodes:20,pairs:14,completionMax:54us [11m11s] 17393 ab:aaba=1,bbabaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17393 ab:aaba=1,bbabaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17394 solved: rounds:3,rules:2,peak:10,longest:11,steps:17,word:14,work:4100,nodes:38,pairs:47,completionMax:243us [11m11s] 17394 ab:aaba=1,bbabab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17394 ab:aaba=1,bbabab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17395 solved: rounds:5,rules:2,peak:9,longest:8,steps:7,word:3,work:1110,nodes:36,pairs:31,completionMax:109us [11m11s] 17395 ab:aaba=1,bbabab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17395 ab:aaba=1,bbabab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17396 solved: rounds:5,rules:2,peak:10,longest:11,steps:6,word:7,work:2017,nodes:28,pairs:59,completionMax:172us [11m11s] 17396 ab:aaba=1,bbabba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17396 ab:aaba=1,bbabba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17397 solved: rounds:3,rules:2,peak:12,longest:9,steps:22,word:6,work:4990,nodes:44,pairs:51,completionMax:208us [11m11s] 17397 ab:aaba=1,bbabba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17397 ab:aaba=1,bbabba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17398 solved: rounds:6,rules:2,peak:13,longest:15,steps:10,word:11,work:5942,nodes:40,pairs:100,completionMax:330us [11m11s] 17398 ab:aaba=1,bbabbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17398 ab:aaba=1,bbabbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17399 solved: rounds:6,rules:2,peak:9,longest:11,steps:12,word:7,work:2773,nodes:36,pairs:50,completionMax:156us [11m11s] 17399 ab:aaba=1,bbabbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17399 ab:aaba=1,bbabbb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17400 solved: rounds:3,rules:2,peak:8,longest:7,steps:7,word:6,work:1008,nodes:26,pairs:32,completionMax:85us [11m11s] 17400 ab:aaba=1,bbbaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17400 ab:aaba=1,bbbaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17401 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:297,nodes:22,pairs:13,completionMax:45us [11m11s] 17401 ab:aaba=1,bbbaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17401 ab:aaba=1,bbbaaa=b finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17402 solved: rounds:3,rules:2,peak:9,longest:20,steps:35,word:21,work:5081,nodes:56,pairs:25,completionMax:216us [11m11s] 17402 ab:aaba=1,bbbaab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17402 ab:aaba=1,bbbaab=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17403 solved: rounds:6,rules:2,peak:6,longest:7,steps:5,word:3,work:574,nodes:20,pairs:30,completionMax:79us [11m11s] 17403 ab:aaba=1,bbbaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17403 ab:aaba=1,bbbaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17404 solved: rounds:4,rules:2,peak:9,longest:11,steps:32,word:7,work:3393,nodes:40,pairs:52,completionMax:137us [11m11s] 17404 ab:aaba=1,bbbaba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17404 ab:aaba=1,bbbaba=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17405 solved: rounds:6,rules:2,peak:8,longest:7,steps:6,word:3,work:912,nodes:32,pairs:27,completionMax:83us [11m11s] 17405 ab:aaba=1,bbbaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17405 ab:aaba=1,bbbaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17406 solved: rounds:6,rules:2,peak:14,longest:15,steps:12,word:11,work:9547,nodes:46,pairs:114,completionMax:537us [11m11s] 17406 ab:aaba=1,bbbabb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17406 ab:aaba=1,bbbabb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17407 solved: rounds:7,rules:2,peak:10,longest:11,steps:8,word:7,work:2160,nodes:42,pairs:32,completionMax:181us [11m11s] 17407 ab:aaba=1,bbbabb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17407 ab:aaba=1,bbbabb=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17408 solved: rounds:5,rules:2,peak:7,longest:11,steps:10,word:7,work:1154,nodes:26,pairs:32,completionMax:118us [11m11s] 17408 ab:aaba=1,bbbbaa=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17408 ab:aaba=1,bbbbaa=a finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17409 solved: rounds:4,rules:2,peak:8,longest:11,steps:7,word:6,work:1816,nodes:30,pairs:44,completionMax:171us [11m11s] 17409 ab:aaba=1,bbbbaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17409 ab:aaba=1,bbbbaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17410 solved: rounds:6,rules:2,peak:18,longest:15,steps:23,word:11,work:15122,nodes:74,pairs:89,completionMax:610us [11m11s] 17410 ab:aaba=1,bbbbab=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17410 ab:aaba=1,bbbbab=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17411 solved: rounds:7,rules:2,peak:8,longest:11,steps:9,word:7,work:1257,nodes:36,pairs:20,completionMax:96us [11m11s] 17411 ab:aaba=1,bbbbab=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17411 ab:aaba=1,bbbbab=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17412 solved: rounds:7,rules:2,peak:8,longest:15,steps:8,word:11,work:1366,nodes:34,pairs:25,completionMax:102us [11m11s] 17412 ab:aaba=1,bbbbba=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17412 ab:aaba=1,bbbbba=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17413 solved: rounds:6,rules:2,peak:9,longest:11,steps:14,word:7,work:3818,nodes:34,pairs:38,completionMax:144us [11m11s] 17413 ab:aaba=1,bbbbba=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17413 ab:aaba=1,bbbbba=b finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17414 solved: rounds:8,rules:2,peak:4,longest:19,steps:12,word:15,work:1917,nodes:38,pairs:17,completionMax:150us [11m11s] 17414 ab:aaba=1,bbbbbb=a finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b6;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaaaa [11m11s] from: 17414 ab:aaba=1,bbbbbb=a finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b6;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m11s] # 17415 solved: rounds:8,rules:2,peak:7,longest:15,steps:8,word:11,work:1370,nodes:32,pairs:23,completionMax:126us [11m11s] 17415 ab:aaba=1,bbbbbb=b finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 17415 ab:aaba=1,bbbbbb=b finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaaaaaaaaaaa [11m11s] # 17416 solved: rounds:3,rules:2,peak:5,longest:10,steps:5,word:3,work:540,nodes:22,pairs:22,completionMax:53us [11m11s] 17416 ab:aabb=1,aaaaaa=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17416 ab:aabb=1,aaaaaa=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17417 solved: rounds:1,rules:2,peak:2,longest:14,steps:1,word:5,work:26,nodes:28,pairs:2,completionMax:11us [11m11s] 17417 ab:aabb=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [11m11s] from: 17417 ab:aabb=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [11m11s] # 17418 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:17,nodes:14,pairs:4,completionMax:17us [11m11s] 17418 ab:aabb=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17418 ab:aabb=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17419 solved: rounds:2,rules:2,peak:5,longest:11,steps:3,word:6,work:291,nodes:28,pairs:9,completionMax:47us [11m11s] 17419 ab:aabb=1,aaaaab=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17419 ab:aabb=1,aaaaab=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17420 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:1,work:40,nodes:14,pairs:4,completionMax:12us [11m11s] 17420 ab:aabb=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17420 ab:aabb=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17421 solved: rounds:3,rules:2,peak:12,longest:15,steps:42,word:9,work:17420,nodes:78,pairs:146,completionMax:721us [11m11s] 17421 ab:aabb=1,aaaaba=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17421 ab:aabb=1,aaaaba=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17422 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:8,pairs:4,completionMax:9us [11m11s] 17422 ab:aabb=1,aaaabb=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17422 ab:aabb=1,aaaabb=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17423 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:20,nodes:12,pairs:2,completionMax:8us [11m11s] 17423 ab:aabb=1,aaaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17423 ab:aabb=1,aaaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17424 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:1,work:588,nodes:24,pairs:25,completionMax:86us [11m11s] 17424 ab:aabb=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17424 ab:aabb=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17425 solved: rounds:2,rules:2,peak:7,longest:10,steps:14,word:9,work:2346,nodes:40,pairs:33,completionMax:139us [11m11s] 17425 ab:aabb=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17425 ab:aabb=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17426 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [11m11s] 17426 ab:aabb=1,aaabab=a infinite ab - - ab:aabb=1,aaabab=a [11m11s] # 17427 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [11m11s] 17427 ab:aabb=1,aaabab=b infinite ab - - ab:aabb=1,aaabab=b [11m11s] # 17428 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:4,completionMax:11us [11m11s] 17428 ab:aabb=1,aaabba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17428 ab:aabb=1,aaabba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17429 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:19,nodes:12,pairs:2,completionMax:7us [11m11s] 17429 ab:aabb=1,aaabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17429 ab:aabb=1,aaabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17430 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:2,completionMax:5us [11m11s] 17430 ab:aabb=1,aaabbb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17430 ab:aabb=1,aaabbb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17431 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:1,work:610,nodes:24,pairs:26,completionMax:92us [11m11s] 17431 ab:aabb=1,aabaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17431 ab:aabb=1,aabaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17432 solved: rounds:3,rules:2,peak:10,longest:10,steps:12,word:9,work:2655,nodes:40,pairs:46,completionMax:155us [11m11s] 17432 ab:aabb=1,aabaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17432 ab:aabb=1,aabaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17433 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:118,nodes:14,pairs:10,completionMax:30us [11m11s] 17433 ab:aabb=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17433 ab:aabb=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17434 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:1,work:99,nodes:18,pairs:8,completionMax:23us [11m11s] 17434 ab:aabb=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17434 ab:aabb=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17435 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:12,pairs:1,completionMax:5us [11m11s] 17435 ab:aabb=1,aababa=a infinite ab - - ab:aabb=1,aabab=1 [11m11s] from: 17435 ab:aabb=1,aababa=a infinite to: 1789 ab:aabb=1,aabab=1 infinite a=a,b=b [11m11s] # 17436 solved: rounds:3,rules:2,peak:16,longest:10,steps:7,word:3,work:8687,nodes:86,pairs:241,completionMax:3687us [11m11s] 17436 ab:aabb=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17436 ab:aabb=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17437 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:12,pairs:0,completionMax:1us [11m11s] 17437 ab:aabb=1,aababb=a infinite ab - - ab:aabb=1,aababb=a [11m11s] # 17438 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:8,pairs:4,completionMax:8us [11m11s] 17438 ab:aabb=1,aabbaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17438 ab:aabb=1,aabbaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17439 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:18,nodes:12,pairs:2,completionMax:8us [11m11s] 17439 ab:aabb=1,aabbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17439 ab:aabb=1,aabbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17440 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:7us [11m11s] 17440 ab:aabb=1,aabbab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17440 ab:aabb=1,aabbab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17441 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:4us [11m11s] 17441 ab:aabb=1,aabbab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17441 ab:aabb=1,aabbab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17442 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:10,pairs:5,completionMax:13us [11m11s] 17442 ab:aabb=1,aabbba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17442 ab:aabb=1,aabbba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17443 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:37,nodes:12,pairs:4,completionMax:7us [11m11s] 17443 ab:aabb=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17443 ab:aabb=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17444 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:524,nodes:22,pairs:14,completionMax:41us [11m11s] 17444 ab:aabb=1,abaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17444 ab:aabb=1,abaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17445 solved: rounds:3,rules:2,peak:9,longest:11,steps:20,word:9,work:2322,nodes:40,pairs:27,completionMax:154us [11m11s] 17445 ab:aabb=1,abaaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17445 ab:aabb=1,abaaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17446 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:0,work:173,nodes:20,pairs:12,completionMax:25us [11m11s] 17446 ab:aabb=1,abaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17446 ab:aabb=1,abaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17447 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:1,work:510,nodes:20,pairs:13,completionMax:49us [11m11s] 17447 ab:aabb=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17447 ab:aabb=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17448 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:239,nodes:18,pairs:11,completionMax:36us [11m11s] 17448 ab:aabb=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17448 ab:aabb=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17449 solved: rounds:4,rules:2,peak:13,longest:8,steps:7,word:2,work:4540,nodes:46,pairs:103,completionMax:378us [11m11s] 17449 ab:aabb=1,abaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17449 ab:aabb=1,abaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17450 solved: rounds:3,rules:2,peak:9,longest:6,steps:2,word:0,work:345,nodes:20,pairs:40,completionMax:59us [11m11s] 17450 ab:aabb=1,ababaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17450 ab:aabb=1,ababaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17451 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:2,work:858,nodes:30,pairs:17,completionMax:57us [11m11s] 17451 ab:aabb=1,ababaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17451 ab:aabb=1,ababaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17452 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:121,nodes:16,pairs:13,completionMax:17us [11m11s] 17452 ab:aabb=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17452 ab:aabb=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17453 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:16,pairs:1,completionMax:4us [11m11s] 17453 ab:aabb=1,ababba=a infinite ab - - ab:aabb=1,ababb=1 [11m11s] from: 17453 ab:aabb=1,ababba=a infinite to: 11400 ab:aabba=a,ababb=1 infinite a=a,b=b [11m11s] # 17454 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:1006,nodes:36,pairs:40,completionMax:99us [11m11s] 17454 ab:aabb=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17454 ab:aabb=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17455 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:176,nodes:16,pairs:17,completionMax:27us [11m11s] 17455 ab:aabb=1,abbaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17455 ab:aabb=1,abbaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17456 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:3,work:316,nodes:28,pairs:15,completionMax:39us [11m11s] 17456 ab:aabb=1,abbaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17456 ab:aabb=1,abbaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17457 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:83,nodes:16,pairs:12,completionMax:17us [11m11s] 17457 ab:aabb=1,abbaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17457 ab:aabb=1,abbaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17458 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:210,nodes:16,pairs:15,completionMax:33us [11m11s] 17458 ab:aabb=1,abbaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17458 ab:aabb=1,abbaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17459 solved: rounds:3,rules:2,peak:10,longest:6,steps:3,word:0,work:856,nodes:24,pairs:23,completionMax:67us [11m11s] 17459 ab:aabb=1,abbaba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17459 ab:aabb=1,abbaba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17460 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:203,nodes:20,pairs:13,completionMax:29us [11m11s] 17460 ab:aabb=1,abbbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17460 ab:aabb=1,abbbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17461 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:647,nodes:24,pairs:35,completionMax:59us [11m11s] 17461 ab:aabb=1,abbbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17461 ab:aabb=1,abbbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17462 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:113,nodes:20,pairs:7,completionMax:21us [11m11s] 17462 ab:aabb=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17462 ab:aabb=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17463 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:476,nodes:26,pairs:22,completionMax:50us [11m11s] 17463 ab:aabb=1,abbbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17463 ab:aabb=1,abbbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17464 solved: rounds:3,rules:2,peak:8,longest:8,steps:3,word:2,work:574,nodes:28,pairs:20,completionMax:89us [11m11s] 17464 ab:aabb=1,baaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17464 ab:aabb=1,baaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17465 solved: rounds:3,rules:2,peak:8,longest:11,steps:12,word:9,work:1141,nodes:38,pairs:32,completionMax:129us [11m11s] 17465 ab:aabb=1,baaaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17465 ab:aabb=1,baaaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17466 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:832,nodes:22,pairs:31,completionMax:88us [11m11s] 17466 ab:aabb=1,baaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17466 ab:aabb=1,baaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17467 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:2,work:1516,nodes:30,pairs:35,completionMax:151us [11m11s] 17467 ab:aabb=1,baaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17467 ab:aabb=1,baaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17468 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:578,nodes:24,pairs:32,completionMax:83us [11m11s] 17468 ab:aabb=1,baabaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17468 ab:aabb=1,baabaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17469 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:476,nodes:24,pairs:31,completionMax:75us [11m11s] 17469 ab:aabb=1,baabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17469 ab:aabb=1,baabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17470 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:49,nodes:10,pairs:5,completionMax:16us [11m11s] 17470 ab:aabb=1,baabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17470 ab:aabb=1,baabba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17471 solved: rounds:3,rules:2,peak:16,longest:6,steps:5,word:0,work:1685,nodes:28,pairs:82,completionMax:234us [11m11s] 17471 ab:aabb=1,babaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17471 ab:aabb=1,babaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17472 solved: rounds:3,rules:2,peak:11,longest:7,steps:9,word:2,work:2006,nodes:30,pairs:30,completionMax:151us [11m11s] 17472 ab:aabb=1,babaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17472 ab:aabb=1,babaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17473 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:0,work:684,nodes:24,pairs:23,completionMax:77us [11m11s] 17473 ab:aabb=1,bababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17473 ab:aabb=1,bababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17474 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:254,nodes:24,pairs:21,completionMax:55us [11m11s] 17474 ab:aabb=1,babbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17474 ab:aabb=1,babbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17475 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:474,nodes:28,pairs:28,completionMax:72us [11m11s] 17475 ab:aabb=1,babbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17475 ab:aabb=1,babbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17476 solved: rounds:2,rules:2,peak:8,longest:6,steps:6,word:0,work:510,nodes:28,pairs:31,completionMax:66us [11m11s] 17476 ab:aabb=1,bbaaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17476 ab:aabb=1,bbaaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17477 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:3,work:557,nodes:26,pairs:23,completionMax:55us [11m11s] 17477 ab:aabb=1,bbaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17477 ab:aabb=1,bbaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17478 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:519,nodes:28,pairs:34,completionMax:58us [11m11s] 17478 ab:aabb=1,bbabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17478 ab:aabb=1,bbabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17479 solved: rounds:3,rules:2,peak:11,longest:6,steps:3,word:0,work:745,nodes:26,pairs:36,completionMax:90us [11m11s] 17479 ab:aabb=1,bbbaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17479 ab:aabb=1,bbbaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17480 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:64,nodes:18,pairs:2,completionMax:19us [11m11s] 17480 ab:abab=1,aaaaaa=a infinite;group:a-aaaa,b-aba a/b - - ab:aaaaa=1,bab=aaaa [11m11s] from: 17480 ab:abab=1,aaaaaa=a infinite;group:a-aaaa,b-aba to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=a,b=b [11m11s] # 17481 solved: rounds:1,rules:2,peak:2,longest:14,steps:1,word:5,work:29,nodes:28,pairs:2,completionMax:11us [11m11s] 17481 ab:abab=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [11m11s] from: 17481 ab:abab=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [11m11s] # 17482 solved: rounds:4,rules:2,peak:5,longest:7,steps:2,word:1,work:117,nodes:18,pairs:7,completionMax:39us [11m11s] 17482 ab:abab=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17482 ab:abab=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17483 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:33,nodes:20,pairs:5,completionMax:19us [11m11s] 17483 ab:abab=1,aaaaab=b infinite;group:a-aaaa,b-aba a/b - - ab:aaaaa=1,bab=aaaa [11m11s] from: 17483 ab:abab=1,aaaaab=b infinite;group:a-aaaa,b-aba to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=a,b=b [11m11s] # 17484 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:103,nodes:18,pairs:5,completionMax:24us [11m11s] 17484 ab:abab=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17484 ab:abab=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17485 solved: rounds:3,rules:3,peak:6,longest:15,steps:13,word:15,work:1457,nodes:40,pairs:18,completionMax:105us [11m11s] 17485 ab:abab=1,aaaaba=b finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [11m11s] from: 17485 ab:abab=1,aaaaba=b finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [11m11s] # 17486 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:1us [11m11s] 17486 ab:abab=1,aaaabb=a infinite ab - - ab:abab=1,aaaabb=a [11m11s] # 17487 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:3us [11m11s] 17487 ab:abab=1,aaaabb=b infinite ab - - ab:abab=1,aaaabb=b [11m11s] # 17488 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:153,nodes:20,pairs:17,completionMax:40us [11m11s] 17488 ab:abab=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17488 ab:abab=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17489 solved: rounds:3,rules:2,peak:12,longest:11,steps:9,word:9,work:3173,nodes:64,pairs:73,completionMax:319us [11m11s] 17489 ab:abab=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17489 ab:abab=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17490 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:8,pairs:3,completionMax:14us [11m11s] 17490 ab:abab=1,aaabab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17490 ab:abab=1,aaabab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17491 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:23,nodes:12,pairs:2,completionMax:9us [11m11s] 17491 ab:abab=1,aaabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17491 ab:abab=1,aaabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17492 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:16,pairs:1,completionMax:6us [11m11s] 17492 ab:abab=1,aaabba=a infinite ab - - ab:abab=1,aaabb=1 [11m11s] from: 17492 ab:abab=1,aaabba=a infinite to: 1803 ab:abab=1,aaabb=1 infinite a=a,b=b [11m11s] # 17493 solved: rounds:5,rules:7,peak:24,longest:14,steps:9,word:14,work:35804,nodes:114,pairs:403,completionMax:2595us [11m11s] 17493 ab:abab=1,aaabba=b finite:54;group:a-bab,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,bbba=abbbbbb,aba=bbbbbbbb,baa=aabbbb,babba=abbabbbbbbb,aaa=bbabbbbbbbb,aabba=babb [11m11s] from: 17493 ab:abab=1,aaabba=b finite:54;group:a-bab,b-bbbbbbbb to: 10757 ab:aaab=bba,abab=1 finite:54;group:a-bab,b-bbbbbbbb a=a,b=b [11m11s] # 17494 solved: rounds:0,rules:2,peak:2,longest:6,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:3us [11m11s] 17494 ab:abab=1,aaabbb=a infinite ab - - ab:abab=1,aaabbb=a [11m11s] # 17495 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:256,nodes:20,pairs:26,completionMax:62us [11m11s] 17495 ab:abab=1,aabaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17495 ab:abab=1,aabaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17496 solved: rounds:3,rules:2,peak:13,longest:11,steps:11,word:6,work:4832,nodes:40,pairs:85,completionMax:411us [11m11s] 17496 ab:abab=1,aabaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17496 ab:abab=1,aabaaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17497 solved: rounds:4,rules:2,peak:6,longest:6,steps:4,word:0,work:225,nodes:18,pairs:19,completionMax:44us [11m11s] 17497 ab:abab=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17497 ab:abab=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17498 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:2,work:143,nodes:20,pairs:11,completionMax:33us [11m11s] 17498 ab:abab=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17498 ab:abab=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17499 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:8,pairs:3,completionMax:7us [11m11s] 17499 ab:abab=1,aababa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17499 ab:abab=1,aababa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17500 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:22,nodes:12,pairs:2,completionMax:7us [11m11s] 17500 ab:abab=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17500 ab:abab=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17501 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:3,completionMax:6us [11m11s] 17501 ab:abab=1,aababb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17501 ab:abab=1,aababb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17502 solved: rounds:3,rules:3,peak:5,longest:6,steps:8,word:6,work:775,nodes:28,pairs:24,completionMax:80us [11m11s] 17502 ab:abab=1,aabbaa=a finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17502 ab:abab=1,aabbaa=a finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17503 solved: rounds:3,rules:5,peak:21,longest:16,steps:12,word:11,work:22249,nodes:140,pairs:148,completionMax:1298us [11m11s] 17503 ab:abab=1,aabbaa=b finite:48;center:1,aaa,aaaaaa,aaaaaaaaa;group:a-aaaaaaaaaaa,b-aba a/b - - ab:aaaaaaaaaaaa=1,aaab=baaa,bb=abaaaaaaa,bab=aaaaaaaaaaa,baab=aabaa [11m11s] # 17504 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:5,nodes:16,pairs:1,completionMax:5us [11m11s] 17504 ab:abab=1,aabbab=a infinite ab - - ab:aabb=aab,abab=1 [11m11s] from: 17504 ab:abab=1,aabbab=a infinite to: 10899 ab:aabb=aab,abab=1 infinite a=a,b=b [11m11s] # 17505 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:5,nodes:16,pairs:1,completionMax:6us [11m11s] 17505 ab:abab=1,aabbab=b infinite ab - - ab:aabb=bab,abab=1 [11m11s] # 17506 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:16,pairs:1,completionMax:11us [11m11s] 17506 ab:abab=1,aabbba=a infinite ab - - ab:abab=1,aabbb=1 [11m11s] from: 17506 ab:abab=1,aabbba=a infinite to: 11510 ab:ababa=a,bbaaa=1 infinite a=b,b=a [11m11s] # 17507 solved: rounds:4,rules:2,peak:16,longest:9,steps:7,word:0,work:4645,nodes:60,pairs:85,completionMax:273us [11m11s] 17507 ab:abab=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17507 ab:abab=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17508 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:218,nodes:20,pairs:10,completionMax:36us [11m11s] 17508 ab:abab=1,abaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17508 ab:abab=1,abaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17509 solved: rounds:3,rules:3,peak:12,longest:15,steps:13,word:21,work:7377,nodes:58,pairs:60,completionMax:350us [11m11s] 17509 ab:abab=1,abaaaa=b finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaa,bb=aaa [11m11s] from: 17509 ab:abab=1,abaaaa=b finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=a,b=b [11m11s] # 17510 solved: rounds:4,rules:3,peak:5,longest:6,steps:4,word:2,work:331,nodes:16,pairs:16,completionMax:63us [11m11s] 17510 ab:abab=1,abaaab=a finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17510 ab:abab=1,abaaab=a finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17511 solved: rounds:3,rules:2,peak:10,longest:9,steps:9,word:3,work:1414,nodes:34,pairs:28,completionMax:99us [11m11s] 17511 ab:abab=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17511 ab:abab=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17512 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:186,nodes:14,pairs:13,completionMax:22us [11m11s] 17512 ab:abab=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17512 ab:abab=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17513 solved: rounds:1,rules:2,peak:4,longest:6,steps:2,word:0,work:74,nodes:16,pairs:5,completionMax:11us [11m11s] 17513 ab:abab=1,abaaba=b infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [11m11s] from: 17513 ab:abab=1,abaaba=b infinite;group:a-bab,b-bb to: 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb a=a,b=b [11m11s] # 17514 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:3,completionMax:10us [11m11s] 17514 ab:abab=1,ababaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17514 ab:abab=1,ababaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17515 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:21,nodes:12,pairs:2,completionMax:10us [11m11s] 17515 ab:abab=1,ababaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17515 ab:abab=1,ababaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17516 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:3,completionMax:7us [11m11s] 17516 ab:abab=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17516 ab:abab=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17517 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:36,nodes:10,pairs:3,completionMax:12us [11m11s] 17517 ab:abab=1,ababba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17517 ab:abab=1,ababba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17518 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:10,pairs:3,completionMax:9us [11m11s] 17518 ab:abab=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17518 ab:abab=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17519 solved: rounds:4,rules:3,peak:6,longest:6,steps:8,word:3,work:632,nodes:22,pairs:21,completionMax:59us [11m11s] 17519 ab:abab=1,abbaaa=a finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17519 ab:abab=1,abbaaa=a finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17520 solved: rounds:5,rules:7,peak:27,longest:10,steps:10,word:36,work:38009,nodes:122,pairs:430,completionMax:2982us [11m11s] 17520 ab:abab=1,abbaaa=b finite:54;group:a-bab,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,bbba=abbbbbb,aba=bbbbbbbb,baa=aabbbbbbb,babba=abbabbbb,aaa=bbabbbbb,aabba=babbbbb [11m11s] # 17521 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:2,work:729,nodes:30,pairs:48,completionMax:179us [11m11s] 17521 ab:abab=1,abbaab=a finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 17521 ab:abab=1,abbaab=a finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 17522 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:177,nodes:20,pairs:14,completionMax:41us [11m11s] 17522 ab:abab=1,abbaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17522 ab:abab=1,abbaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17523 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:374,nodes:20,pairs:19,completionMax:54us [11m11s] 17523 ab:abab=1,abbaba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17523 ab:abab=1,abbaba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17524 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:1,work:705,nodes:24,pairs:26,completionMax:74us [11m11s] 17524 ab:abab=1,abbbaa=a finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 17524 ab:abab=1,abbbaa=a finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 17525 solved: rounds:3,rules:2,peak:15,longest:7,steps:5,word:0,work:1732,nodes:28,pairs:49,completionMax:212us [11m11s] 17525 ab:abab=1,abbbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17525 ab:abab=1,abbbaa=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17526 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:1,work:136,nodes:20,pairs:9,completionMax:34us [11m11s] 17526 ab:abab=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17526 ab:abab=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17527 solved: rounds:4,rules:3,peak:9,longest:7,steps:6,word:4,work:2535,nodes:44,pairs:47,completionMax:200us [11m11s] 17527 ab:abab=1,abbbba=b finite:10;group:a-a,b-bbbb b/a - - ab:bbbbb=1,ba=abbbb,aa=1 [11m11s] from: 17527 ab:abab=1,abbbba=b finite:10;group:a-a,b-bbbb to: 10729 ab:aaab=baa,abab=1 finite:10;group:a-aaaa,b-b a=b,b=a [11m11s] # 17528 solved: rounds:3,rules:2,peak:8,longest:7,steps:2,word:1,work:652,nodes:26,pairs:21,completionMax:90us [11m11s] 17528 ab:abab=1,baaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17528 ab:abab=1,baaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17529 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:101,nodes:28,pairs:4,completionMax:28us [11m11s] 17529 ab:abab=1,baaaaa=b infinite;group:a-aaaa,b-aba a/b - - ab:aaaaa=1,bab=aaaa [11m11s] from: 17529 ab:abab=1,baaaaa=b infinite;group:a-aaaa,b-aba to: 1800 ab:abab=1,aaaaa=1 infinite;group:a-aaaa,b-aba a=a,b=b [11m11s] # 17530 solved: rounds:3,rules:3,peak:6,longest:8,steps:7,word:3,work:641,nodes:36,pairs:20,completionMax:60us [11m11s] 17530 ab:abab=1,baaaba=a finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17530 ab:abab=1,baaaba=a finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17531 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:293,nodes:26,pairs:18,completionMax:42us [11m11s] 17531 ab:abab=1,baaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17531 ab:abab=1,baaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17532 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:537,nodes:24,pairs:29,completionMax:53us [11m11s] 17532 ab:abab=1,baabaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17532 ab:abab=1,baabaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17533 solved: rounds:3,rules:2,peak:10,longest:6,steps:7,word:2,work:1854,nodes:34,pairs:52,completionMax:211us [11m11s] 17533 ab:abab=1,baabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17533 ab:abab=1,baabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17534 solved: rounds:3,rules:3,peak:11,longest:6,steps:5,word:1,work:2773,nodes:36,pairs:74,completionMax:416us [11m11s] 17534 ab:abab=1,baabba=a finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 17534 ab:abab=1,baabba=a finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 17535 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:123,nodes:20,pairs:16,completionMax:31us [11m11s] 17535 ab:abab=1,babaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17535 ab:abab=1,babaaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17536 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:2,work:242,nodes:32,pairs:11,completionMax:36us [11m11s] 17536 ab:abab=1,babaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17536 ab:abab=1,babaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17537 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:10,pairs:3,completionMax:9us [11m11s] 17537 ab:abab=1,bababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17537 ab:abab=1,bababa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17538 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:210,nodes:18,pairs:20,completionMax:47us [11m11s] 17538 ab:abab=1,babbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17538 ab:abab=1,babbaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17539 solved: rounds:3,rules:3,peak:6,longest:8,steps:9,word:7,work:803,nodes:40,pairs:23,completionMax:94us [11m11s] 17539 ab:abab=1,babbaa=b finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17539 ab:abab=1,babbaa=b finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17540 solved: rounds:3,rules:3,peak:12,longest:7,steps:10,word:4,work:1698,nodes:34,pairs:20,completionMax:114us [11m11s] 17540 ab:abab=1,bbaaaa=a finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 17540 ab:abab=1,bbaaaa=a finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 17541 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:440,nodes:28,pairs:30,completionMax:68us [11m11s] 17541 ab:abab=1,bbaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17541 ab:abab=1,bbaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17542 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:267,nodes:24,pairs:29,completionMax:48us [11m11s] 17542 ab:abab=1,bbabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17542 ab:abab=1,bbabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17543 solved: rounds:4,rules:3,peak:14,longest:7,steps:5,word:1,work:2282,nodes:42,pairs:91,completionMax:228us [11m11s] 17543 ab:abab=1,bbbaaa=a finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 17543 ab:abab=1,bbbaaa=a finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 17544 solved: rounds:4,rules:2,peak:5,longest:15,steps:9,word:9,work:788,nodes:36,pairs:22,completionMax:72us [11m11s] 17544 ab:abba=1,aaaaaa=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17544 ab:abba=1,aaaaaa=a finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17545 solved: rounds:1,rules:2,peak:2,longest:14,steps:2,word:10,work:42,nodes:28,pairs:2,completionMax:15us [11m11s] 17545 ab:abba=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [11m11s] from: 17545 ab:abba=1,aaaaaa=b finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [11m11s] # 17546 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:2,work:441,nodes:18,pairs:20,completionMax:64us [11m11s] 17546 ab:abba=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17546 ab:abba=1,aaaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17547 solved: rounds:4,rules:2,peak:4,longest:10,steps:13,word:6,work:657,nodes:22,pairs:15,completionMax:57us [11m11s] 17547 ab:abba=1,aaaaab=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17547 ab:abba=1,aaaaab=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17548 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:380,nodes:18,pairs:21,completionMax:71us [11m11s] 17548 ab:abba=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17548 ab:abba=1,aaaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17549 solved: rounds:3,rules:2,peak:9,longest:10,steps:8,word:12,work:1664,nodes:36,pairs:47,completionMax:126us [11m11s] 17549 ab:abba=1,aaaaba=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17549 ab:abba=1,aaaaba=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17550 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:216,nodes:22,pairs:18,completionMax:38us [11m11s] 17550 ab:abba=1,aaaabb=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17550 ab:abba=1,aaaabb=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17551 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:2,work:242,nodes:20,pairs:13,completionMax:37us [11m11s] 17551 ab:abba=1,aaaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17551 ab:abba=1,aaaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17552 solved: rounds:4,rules:2,peak:7,longest:6,steps:6,word:2,work:751,nodes:26,pairs:31,completionMax:107us [11m11s] 17552 ab:abba=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17552 ab:abba=1,aaabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17553 solved: rounds:3,rules:2,peak:14,longest:10,steps:5,word:9,work:3565,nodes:48,pairs:63,completionMax:235us [11m11s] 17553 ab:abba=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 17553 ab:abba=1,aaabaa=b finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 17554 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:272,nodes:24,pairs:16,completionMax:50us [11m11s] 17554 ab:abba=1,aaabab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17554 ab:abba=1,aaabab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17555 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:410,nodes:24,pairs:24,completionMax:89us [11m11s] 17555 ab:abba=1,aaabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17555 ab:abba=1,aaabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17556 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:8,pairs:5,completionMax:11us [11m11s] 17556 ab:abba=1,aaabba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17556 ab:abba=1,aaabba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17557 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:28,nodes:12,pairs:2,completionMax:10us [11m11s] 17557 ab:abba=1,aaabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17557 ab:abba=1,aaabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17558 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:332,nodes:24,pairs:35,completionMax:80us [11m11s] 17558 ab:abba=1,aaabbb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17558 ab:abba=1,aaabbb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17559 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:221,nodes:24,pairs:21,completionMax:46us [11m11s] 17559 ab:abba=1,aaabbb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17559 ab:abba=1,aaabbb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17560 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:388,nodes:26,pairs:30,completionMax:69us [11m11s] 17560 ab:abba=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17560 ab:abba=1,aabaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17561 solved: rounds:2,rules:2,peak:8,longest:6,steps:3,word:2,work:716,nodes:28,pairs:31,completionMax:129us [11m11s] 17561 ab:abba=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17561 ab:abba=1,aabaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17562 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:348,nodes:24,pairs:15,completionMax:60us [11m11s] 17562 ab:abba=1,aababa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17562 ab:abba=1,aababa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17563 solved: rounds:4,rules:2,peak:21,longest:11,steps:7,word:3,work:12316,nodes:80,pairs:329,completionMax:1425us [11m11s] 17563 ab:abba=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17563 ab:abba=1,aababa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17564 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:217,nodes:24,pairs:16,completionMax:43us [11m11s] 17564 ab:abba=1,aababb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17564 ab:abba=1,aababb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17565 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:396,nodes:24,pairs:24,completionMax:77us [11m11s] 17565 ab:abba=1,aababb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17565 ab:abba=1,aababb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17566 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:5,completionMax:10us [11m11s] 17566 ab:abba=1,aabbaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17566 ab:abba=1,aabbaa=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17567 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:27,nodes:12,pairs:2,completionMax:7us [11m11s] 17567 ab:abba=1,aabbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17567 ab:abba=1,aabbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17568 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:7us [11m11s] 17568 ab:abba=1,aabbab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17568 ab:abba=1,aabbab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17569 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:23,nodes:8,pairs:6,completionMax:9us [11m11s] 17569 ab:abba=1,aabbab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17569 ab:abba=1,aabbab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17570 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:340,nodes:24,pairs:25,completionMax:46us [11m11s] 17570 ab:abba=1,aabbba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17570 ab:abba=1,aabbba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17571 solved: rounds:3,rules:2,peak:9,longest:6,steps:3,word:0,work:648,nodes:26,pairs:28,completionMax:61us [11m11s] 17571 ab:abba=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17571 ab:abba=1,aabbba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17572 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:118,nodes:22,pairs:10,completionMax:38us [11m11s] 17572 ab:abba=1,aabbbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17572 ab:abba=1,aabbbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17573 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:658,nodes:22,pairs:21,completionMax:81us [11m11s] 17573 ab:abba=1,aabbbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17573 ab:abba=1,aabbbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17574 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:606,nodes:30,pairs:28,completionMax:90us [11m11s] 17574 ab:abba=1,abaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17574 ab:abba=1,abaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17575 solved: rounds:4,rules:2,peak:10,longest:9,steps:4,word:2,work:1742,nodes:36,pairs:59,completionMax:224us [11m11s] 17575 ab:abba=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17575 ab:abba=1,abaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17576 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:452,nodes:30,pairs:28,completionMax:60us [11m11s] 17576 ab:abba=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17576 ab:abba=1,abaaba=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17577 solved: rounds:3,rules:2,peak:11,longest:9,steps:18,word:4,work:4391,nodes:38,pairs:38,completionMax:187us [11m11s] 17577 ab:abba=1,abaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17577 ab:abba=1,abaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17578 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:288,nodes:24,pairs:19,completionMax:46us [11m11s] 17578 ab:abba=1,abaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17578 ab:abba=1,abaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17579 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:418,nodes:24,pairs:24,completionMax:44us [11m11s] 17579 ab:abba=1,abaabb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17579 ab:abba=1,abaabb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17580 solved: rounds:2,rules:2,peak:6,longest:6,steps:7,word:0,work:488,nodes:26,pairs:26,completionMax:85us [11m11s] 17580 ab:abba=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17580 ab:abba=1,ababab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17581 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:421,nodes:24,pairs:23,completionMax:64us [11m11s] 17581 ab:abba=1,ababab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17581 ab:abba=1,ababab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17582 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:23,nodes:8,pairs:3,completionMax:8us [11m11s] 17582 ab:abba=1,ababba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17582 ab:abba=1,ababba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17583 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:8,pairs:6,completionMax:10us [11m11s] 17583 ab:abba=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17583 ab:abba=1,ababba=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17584 solved: rounds:3,rules:2,peak:7,longest:7,steps:8,word:2,work:404,nodes:24,pairs:16,completionMax:52us [11m11s] 17584 ab:abba=1,ababbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17584 ab:abba=1,ababbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17585 solved: rounds:4,rules:2,peak:7,longest:6,steps:5,word:0,work:734,nodes:24,pairs:19,completionMax:50us [11m11s] 17585 ab:abba=1,ababbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17585 ab:abba=1,ababbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17586 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:21,nodes:8,pairs:3,completionMax:6us [11m11s] 17586 ab:abba=1,abbaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17586 ab:abba=1,abbaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17587 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:8,pairs:6,completionMax:8us [11m11s] 17587 ab:abba=1,abbaab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17587 ab:abba=1,abbaab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17588 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:20,nodes:12,pairs:2,completionMax:7us [11m11s] 17588 ab:abba=1,abbabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17588 ab:abba=1,abbabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17589 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:10,pairs:4,completionMax:9us [11m11s] 17589 ab:abba=1,abbabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17589 ab:abba=1,abbabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17590 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:316,nodes:28,pairs:22,completionMax:97us [11m11s] 17590 ab:abba=1,abbbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17590 ab:abba=1,abbbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17591 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:338,nodes:20,pairs:18,completionMax:54us [11m11s] 17591 ab:abba=1,abbbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17591 ab:abba=1,abbbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17592 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:127,nodes:20,pairs:9,completionMax:33us [11m11s] 17592 ab:abba=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17592 ab:abba=1,abbbba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17593 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:0,work:730,nodes:20,pairs:29,completionMax:47us [11m11s] 17593 ab:abba=1,abbbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17593 ab:abba=1,abbbba=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17594 solved: rounds:5,rules:2,peak:4,longest:10,steps:6,word:6,work:485,nodes:20,pairs:20,completionMax:42us [11m11s] 17594 ab:abba=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17594 ab:abba=1,abbbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17595 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:2,work:434,nodes:20,pairs:18,completionMax:42us [11m11s] 17595 ab:abba=1,abbbbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17595 ab:abba=1,abbbbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17596 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:0,work:751,nodes:26,pairs:28,completionMax:68us [11m11s] 17596 ab:abba=1,baaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17596 ab:abba=1,baaaab=a finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17597 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:624,nodes:24,pairs:37,completionMax:78us [11m11s] 17597 ab:abba=1,baaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17597 ab:abba=1,baaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17598 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:337,nodes:24,pairs:26,completionMax:39us [11m11s] 17598 ab:abba=1,baaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17598 ab:abba=1,baaabb=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17599 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:245,nodes:24,pairs:19,completionMax:35us [11m11s] 17599 ab:abba=1,baaabb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17599 ab:abba=1,baaabb=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17600 solved: rounds:3,rules:2,peak:13,longest:6,steps:6,word:0,work:1597,nodes:24,pairs:33,completionMax:108us [11m11s] 17600 ab:abba=1,baabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17600 ab:abba=1,baabab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17601 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:621,nodes:22,pairs:22,completionMax:59us [11m11s] 17601 ab:abba=1,baabab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17601 ab:abba=1,baabab=b finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17602 solved: rounds:3,rules:2,peak:10,longest:10,steps:4,word:3,work:1416,nodes:48,pairs:25,completionMax:124us [11m11s] 17602 ab:abba=1,baabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17602 ab:abba=1,baabbb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17603 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:188,nodes:20,pairs:11,completionMax:34us [11m11s] 17603 ab:abba=1,baabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17603 ab:abba=1,baabbb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17604 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:2,work:752,nodes:32,pairs:23,completionMax:95us [11m11s] 17604 ab:abba=1,bababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17604 ab:abba=1,bababb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17605 solved: rounds:2,rules:2,peak:7,longest:6,steps:3,word:0,work:312,nodes:20,pairs:21,completionMax:52us [11m11s] 17605 ab:abba=1,bababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17605 ab:abba=1,bababb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17606 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:21,nodes:12,pairs:2,completionMax:9us [11m11s] 17606 ab:abba=1,babbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17606 ab:abba=1,babbab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17607 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:10,pairs:4,completionMax:15us [11m11s] 17607 ab:abba=1,babbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17607 ab:abba=1,babbab=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17608 solved: rounds:3,rules:2,peak:13,longest:17,steps:27,word:12,work:6901,nodes:62,pairs:66,completionMax:453us [11m11s] 17608 ab:abba=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17608 ab:abba=1,babbbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17609 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:1,work:162,nodes:20,pairs:13,completionMax:37us [11m11s] 17609 ab:abba=1,babbbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17609 ab:abba=1,babbbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17610 solved: rounds:2,rules:2,peak:5,longest:6,steps:9,word:3,work:235,nodes:18,pairs:17,completionMax:40us [11m11s] 17610 ab:abba=1,bbaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17610 ab:abba=1,bbaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17611 solved: rounds:3,rules:2,peak:5,longest:6,steps:5,word:0,work:397,nodes:18,pairs:22,completionMax:48us [11m11s] 17611 ab:abba=1,bbaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17611 ab:abba=1,bbaabb=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17612 solved: rounds:3,rules:2,peak:6,longest:10,steps:6,word:6,work:1279,nodes:22,pairs:45,completionMax:184us [11m11s] 17612 ab:abba=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17612 ab:abba=1,bbabbb=a finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17613 solved: rounds:3,rules:2,peak:4,longest:6,steps:1,word:1,work:141,nodes:18,pairs:15,completionMax:28us [11m11s] 17613 ab:abba=1,bbabbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17613 ab:abba=1,bbabbb=b finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17614 solved: rounds:1,rules:2,peak:2,longest:14,steps:1,word:5,work:28,nodes:28,pairs:2,completionMax:16us [11m11s] 17614 ab:abba=1,bbbbbb=a finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 17614 ab:abba=1,bbbbbb=a finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbb,b=b [11m11s] # 17615 solved: rounds:5,rules:2,peak:5,longest:10,steps:23,word:6,work:1426,nodes:36,pairs:17,completionMax:99us [11m11s] 17615 ab:abba=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17615 ab:abba=1,bbbbbb=b finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17616 solved: rounds:1,rules:1,peak:2,longest:4,steps:3,word:0,work:49,nodes:8,pairs:3,completionMax:9us [11m11s] 17616 ab:aaaa=1,aaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 17616 ab:aaaa=1,aaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 17617 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:1,completionMax:4us [11m11s] 17617 ab:aaaa=1,aaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m11s] from: 17617 ab:aaaa=1,aaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aaa,b=1 [11m11s] # 17618 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:3,work:104,nodes:16,pairs:4,completionMax:12us [11m11s] 17618 ab:aaaa=1,aaaaa=bb finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bb [11m11s] from: 17618 ab:aaaa=1,aaaaa=bb finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b2;saturation:a:a8=1;cancellative;smith:8;group:a-bbbbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aa,b=a [11m11s] # 17619 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:8,pairs:0,completionMax:2us [11m11s] 17619 ab:aaaa=1,aaaab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 17619 ab:aaaa=1,aaaab=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 17620 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:13,nodes:8,pairs:0,completionMax:4us [11m11s] 17620 ab:aaaa=1,aaaab=ab infinite ab - - ab:ab=b,aaaa=1 [11m11s] from: 17620 ab:aaaa=1,aaaab=ab infinite to: 1492 ab:aab=ab,aaaa=1 infinite a=a,b=b [11m11s] # 17621 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:10,nodes:10,pairs:0,completionMax:3us [11m11s] 17621 ab:aaaa=1,aaaab=ba infinite ab - - ab:ba=b,aaaa=1 [11m11s] from: 17621 ab:aaaa=1,aaaab=ba infinite to: 234 ab:ab=a,bbbb=1 infinite a=b,b=a [11m11s] # 17622 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:10,pairs:0,completionMax:2us [11m11s] 17622 ab:aaaa=1,aaaab=bb infinite ab - - ab:bb=b,aaaa=1 [11m11s] from: 17622 ab:aaaa=1,aaaab=bb infinite to: 208 ab:aa=a,bbbb=1 infinite a=b,b=a [11m11s] # 17623 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:102,nodes:12,pairs:11,completionMax:20us [11m11s] 17623 ab:aaaa=1,aaaba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 17623 ab:aaaa=1,aaaba=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 17624 solved: rounds:1,rules:2,peak:3,longest:5,steps:5,word:2,work:78,nodes:14,pairs:5,completionMax:11us [11m11s] 17624 ab:aaaa=1,aaaba=ab infinite reversed:a/b - - ab:aaaa=1,ba=aab [11m11s] from: 17624 ab:aaaa=1,aaaba=ab infinite to: 1438 ab:babb=a,bbbb=1 infinite anti:a=b,b=a [11m11s] # 17625 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:129,nodes:12,pairs:12,completionMax:37us [11m11s] 17625 ab:aaaa=1,aaaba=ba infinite ab - - ab:ab=b,aaaa=1 [11m11s] from: 17625 ab:aaaa=1,aaaba=ba infinite to: 1492 ab:aab=ab,aaaa=1 infinite a=a,b=b [11m11s] # 17626 solved: rounds:2,rules:3,peak:4,longest:19,steps:17,word:15,work:1108,nodes:68,pairs:12,completionMax:94us [11m11s] 17626 ab:aaaa=1,aaaba=bb finite:64;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abb,aaaa=1 [11m11s] from: 17626 ab:aaaa=1,aaaba=bb finite:64;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbb to: 11079 ab:baab=abb,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=b,b=a [11m11s] # 17627 solved: rounds:4,rules:2,peak:4,longest:8,steps:2,word:5,work:136,nodes:16,pairs:17,completionMax:48us [11m11s] 17627 ab:aaaa=1,aaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17627 ab:aaaa=1,aaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17628 solved: rounds:1,rules:3,peak:4,longest:5,steps:2,word:0,work:51,nodes:14,pairs:3,completionMax:15us [11m11s] 17628 ab:aaaa=1,aaabb=ab infinite ab - - ab:aab=bb,bbb=b,aaaa=1 [11m11s] from: 17628 ab:aaaa=1,aaabb=ab infinite to: 1524 ab:aab=bb,aaaa=1 infinite a=a,b=b [11m11s] # 17629 solved: rounds:6,rules:11,peak:17,longest:17,steps:20,word:10,work:23177,nodes:142,pairs:56,completionMax:619us [11m11s] 17629 ab:aaaa=1,aaabb=ba finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,aba=bb,baabbbbbbbbbbbb=baa,babba=aabbbbb,bbaa=abbabbbbbbbbbb,aaab=babbbbbbbbbbb,baaa=bbabbbbbbbbbb,baabba=aabbabbbbb,aaaa=1 [11m11s] from: 17629 ab:aaaa=1,aaabb=ba finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb to: 1566 ab:aba=bb,aaaa=1 finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=a,b=b [11m11s] # 17630 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:34,nodes:12,pairs:3,completionMax:11us [11m11s] 17630 ab:aaaa=1,aaabb=bb infinite ab - - ab:abb=bb,aaaa=1 [11m11s] from: 17630 ab:aaaa=1,aaabb=bb infinite to: 11074 ab:baab=aab,bbbb=1 infinite a=b,b=a [11m11s] # 17631 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:85,nodes:16,pairs:9,completionMax:25us [11m11s] 17631 ab:aaaa=1,aabaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 17631 ab:aaaa=1,aabaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 17632 solved: rounds:1,rules:2,peak:5,longest:5,steps:4,word:1,work:239,nodes:16,pairs:6,completionMax:31us [11m11s] 17632 ab:aaaa=1,aabaa=ab infinite a/b - - ab:aaaa=1,ab=baa [11m11s] from: 17632 ab:aaaa=1,aabaa=ab infinite to: 1438 ab:babb=a,bbbb=1 infinite a=b,b=a [11m11s] # 17633 solved: rounds:2,rules:3,peak:4,longest:6,steps:5,word:3,work:282,nodes:22,pairs:16,completionMax:49us [11m11s] 17633 ab:aaaa=1,aabaa=bb infinite b/a - - ab:bbbb=b,baa=aabb,aaaa=1 [11m11s] from: 17633 ab:aaaa=1,aabaa=bb infinite to: 10942 ab:aabb=bba,bbbb=1 infinite a=b,b=a [11m11s] # 17634 solved: rounds:7,rules:2,peak:4,longest:8,steps:6,word:5,work:246,nodes:16,pairs:14,completionMax:46us [11m11s] 17634 ab:aaaa=1,aabab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17634 ab:aaaa=1,aabab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17635 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:0,work:204,nodes:18,pairs:7,completionMax:35us [11m11s] 17635 ab:aaaa=1,aabab=ab finite:20;idempotents:1,bb,aba,baa,abbaaa ab - - ab:aab=bb,bab=abb,bbb=b,aaaa=1 [11m11s] # 17636 solved: rounds:4,rules:8,peak:11,longest:9,steps:9,word:2,work:6081,nodes:48,pairs:53,completionMax:271us [11m11s] 17636 ab:aaaa=1,aabab=ba finite:44;idempotents:1,bb,abbaaa a/b - - ab:aaaa=1,bab=aaba,aabb=bbaa,aabaab=baaaba,aabaaab=baabaaa,bbb=b,bbaab=aab,bbaaab=baaabaa [11m11s] from: 17636 ab:aaaa=1,aabab=ba finite:44;idempotents:1,bb,abbaaa to: 11090 ab:babb=aba,bbbb=1 finite:44;idempotents:1,aa,bbbaab anti:a=b,b=a [11m11s] # 17637 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:16,nodes:12,pairs:2,completionMax:9us [11m11s] 17637 ab:aaaa=1,aabab=bb infinite ab - - ab:aaaa=1,aabb=bab,aabab=bb [11m11s] # 17638 solved: rounds:5,rules:2,peak:6,longest:8,steps:4,word:5,work:309,nodes:16,pairs:22,completionMax:52us [11m11s] 17638 ab:aaaa=1,aabba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17638 ab:aaaa=1,aabba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17639 solved: rounds:5,rules:9,peak:13,longest:16,steps:14,word:8,work:9628,nodes:108,pairs:55,completionMax:408us [11m11s] 17639 ab:aaaa=1,aabba=ab finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bbba=abbb,abba=b,baa=ababb,bbaba=aab,aaab=bba,ababa=babbbbbbbbbb,aaaa=1 [11m11s] from: 17639 ab:aaaa=1,aabba=ab finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=a [11m11s] # 17640 solved: rounds:2,rules:3,peak:5,longest:5,steps:2,word:0,work:151,nodes:14,pairs:10,completionMax:29us [11m11s] 17640 ab:aaaa=1,aabba=ba infinite ab - - ab:aab=bb,bbb=b,aaaa=1 [11m11s] from: 17640 ab:aaaa=1,aabba=ba infinite to: 1524 ab:aab=bb,aaaa=1 infinite a=a,b=b [11m11s] # 17641 solved: rounds:1,rules:2,peak:3,longest:5,steps:6,word:3,work:123,nodes:14,pairs:4,completionMax:13us [11m11s] 17641 ab:aaaa=1,aabba=bb infinite reversed:a/b - - ab:aaaa=1,bba=aabb [11m11s] from: 17641 ab:aaaa=1,aabba=bb infinite to: 10936 ab:aabb=baa,bbbb=1 infinite anti:a=b,b=a [11m11s] # 17642 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:16,pairs:2,completionMax:9us [11m11s] 17642 ab:aaaa=1,aabbb=aa infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [11m11s] from: 17642 ab:aaaa=1,aabbb=aa infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [11m11s] # 17643 solved: rounds:4,rules:3,peak:4,longest:9,steps:2,word:7,work:110,nodes:24,pairs:10,completionMax:33us [11m11s] 17643 ab:aaaa=1,aabbb=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,aaaa=1 [11m11s] from: 17643 ab:aaaa=1,aabbb=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa anti:a=b,b=a [11m11s] # 17644 solved: rounds:5,rules:12,peak:31,longest:16,steps:7,word:10,work:64629,nodes:148,pairs:537,completionMax:6981us [11m11s] 17644 ab:aaaa=1,aabbb=ba finite:148;idempotents:1,bbbbbbbb,abbbbbbabbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,aab=babbbbbb,baa=bbabbbbb,baba=bbbbbbbab,babba=bbbbbabbbb,babbba=bbbbbbbbabb,babbbba=bbbbabbbbbbb,babbbbba=bbbbbbabbbbbb,babbbbbba=bbb,babbbbbbba=bbbabbb,aaaa=1 [11m11s] # 17645 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:63,nodes:16,pairs:5,completionMax:14us [11m11s] 17645 ab:aaaa=1,aabbb=bb infinite ab - - ab:aaaa=1,aabb=bbb,bbbb=bb [11m11s] # 17646 solved: rounds:6,rules:2,peak:5,longest:8,steps:6,word:5,work:397,nodes:20,pairs:21,completionMax:47us [11m11s] 17646 ab:aaaa=1,abaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17646 ab:aaaa=1,abaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17647 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:20,pairs:1,completionMax:11us [11m11s] 17647 ab:aaaa=1,abaab=ab infinite ab - - ab:aaaa=1,baab=b [11m11s] # 17648 solved: rounds:4,rules:9,peak:27,longest:11,steps:38,word:54,work:64783,nodes:110,pairs:333,completionMax:3585us [11m11s] 17648 ab:aaaa=1,abaab=ba finite:64;idempotents:1,bbbbbb;center:1,bbbbbb reversed:b/a - - ab:bbbbbbb=b,bbbbbbab=ab,abb=bbbba,bbbbbbaab=aab,abaa=bbbab,aaab=bbbbbababa,aabab=bbbbbaaba,ababab=bbbbbaaa,aaaa=1 [11m11s] # 17649 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:46,nodes:18,pairs:2,completionMax:14us [11m11s] 17649 ab:aaaa=1,abaab=bb infinite ba - - ab:aaaa=1,ababb=bbaab,abaab=bb,aaabb=baab [11m11s] # 17650 solved: rounds:6,rules:2,peak:6,longest:8,steps:6,word:5,work:535,nodes:20,pairs:23,completionMax:61us [11m11s] 17650 ab:aaaa=1,ababa=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17650 ab:aaaa=1,ababa=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17651 solved: rounds:3,rules:4,peak:10,longest:5,steps:5,word:0,work:1323,nodes:30,pairs:48,completionMax:119us [11m11s] 17651 ab:aaaa=1,ababa=ab finite:20;idempotents:1,bb,aab,aba,aaabba ba - - ab:bbb=b,bab=bba,baa=bb,aaaa=1 [11m11s] from: 17651 ab:aaaa=1,ababa=ab finite:20;idempotents:1,bb,aab,aba,aaabba to: 1412 ab:abab=a,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab a=b,b=a [11m11s] # 17652 solved: rounds:1,rules:4,peak:5,longest:5,steps:4,word:2,work:234,nodes:18,pairs:4,completionMax:32us [11m11s] 17652 ab:aaaa=1,ababa=bb infinite a/b - - ab:aaaa=1,abab=bbaaa,aaabb=baba,abbb=bbba [11m11s] # 17653 solved: rounds:6,rules:3,peak:14,longest:17,steps:15,word:18,work:13418,nodes:78,pairs:82,completionMax:690us [11m11s] 17653 ab:aaaa=1,ababb=aa finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbb=1,ab=bbbbbbba,aaaa=1 [11m11s] from: 17653 ab:aaaa=1,ababb=aa finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb anti:a=b,b=a [11m11s] # 17654 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:20,pairs:1,completionMax:8us [11m11s] 17654 ab:aaaa=1,ababb=ab infinite ab - - ab:aaaa=1,babb=b [11m11s] 17655 ab:aaaa=1,ababb=ba hard possibly-finite [11m11s] # 17656 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:18,nodes:16,pairs:1,completionMax:9us [11m11s] 17656 ab:aaaa=1,ababb=bb infinite ab - - ab:aaaa=1,aaabb=babb,ababb=bb [11m11s] # 17657 solved: rounds:5,rules:3,peak:15,longest:15,steps:26,word:15,work:13885,nodes:84,pairs:68,completionMax:516us [11m11s] 17657 ab:aaaa=1,abbab=aa finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbb,aaaa=1 [11m11s] from: 17657 ab:aaaa=1,abbab=aa finite:60;center:1,bbbbb,bbbbbbbbbb;group:a-aaa,b-bbbbbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=b,b=a [11m11s] # 17658 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:20,pairs:1,completionMax:11us [11m11s] 17658 ab:aaaa=1,abbab=ab infinite ab - - ab:aaaa=1,bbab=b [11m11s] from: 17658 ab:aaaa=1,abbab=ab infinite to: 17654 ab:aaaa=1,ababb=ab infinite anti:a=a,b=b [11m11s] # 17659 solved: rounds:8,rules:47,peak:54,longest:21,steps:33,word:21,work:1018422,nodes:398,pairs:2317,completionMax:62189us [11m11s] 17659 ab:aaaa=1,abbab=ba finite:684;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,abba=babbbbbbb,baabbbbbbbb=baa,baba=abbbabbbbbbb,bbaa=abbbbabbbbbb,bbbabbbbbbba=abbbbbabbbbb,bbbbabbbbbba=abbbbbbabbbb,bbbbbabbbbba=abbbbbbbabbb,bbbbbbabbbba=aabb,bbbbbbbabbba=abab,aaba=bbabbbabb,aabbbba=babbbbbbbabb,ababbba=baab,ababbbbba=bbbbabbbabbbbb,abbbabbbba=bbbbbabbbabbbbb,baaabbbbbbbb=baaa,baabbba=ababbbbabbbbbbb,baabbbbba=abbbbbbabbbabbbbb,babbbbbbabbba=abbbbabbbabbb,bbabbbabbbbba=abaab,bbabbbbabbba=ababbbbbbabb,bbbabbbabbbbbba=abbbbbabbbabbbb,bbbabbbbabbbbba=abbbbbabbbbabbb,bbbabbbbbabbbba=aabbbbbbbabbbbb,bbbbabbbbabbbba=aaabbbb,bbbbabbbbbabbba=ababbbbbbbabbbb,bbbbbbabbbabbba=aabbbab,aaaa=1,aaabbba=bbabbbabbbab,aaabbbbbba=babbbbbabbbbabb,aaabbbbbbba=bbbabbbbabbbbabb,aabbbabbba=bbbabbbabbbb,aabbbabbbbba=bbbbabbbabbbabbbb,aabbbbbabbbba=bbbbbabbbbabbbb,aabbbbbbabbba=baaabbbbbb,abaaa=bbabbbbabbbbabbbbb,abaabbbbbbba=bbbbabbbbabbbb,ababbbbabbba=babbbbbabbbabbbbb,ababbbbabbbba=bbbbbabbbabbbabbbb,abbbabbbabbba=bbabbbbbabbbabbbbb,abbbabbbbbabbba=bbbabbbbbbabbbbbb,baaabbbbba=abaabbbbbbabbbbbbb,babbbbbabbbabbba=abbbbabbbabbbabb,aaabbbbbabbba=bbbabbbbabbb,aabbbbbabbbabbba=bbabbbbbabbbbabbbb [11m11s] # 17660 solved: rounds:5,rules:11,peak:24,longest:20,steps:21,word:16,work:60338,nodes:344,pairs:181,completionMax:3461us [11m11s] 17660 ab:aaaa=1,abbab=bb infinite b/a - - ab:bbbbbbbbbbbbbbb=bbb,babbbbbbbbbbbbbb=babb,bbbab=abbbb,abbab=bb,baabb=ababbbb,bbabab=aabb,aaabb=bbab,abababb=babbbbbbbbbbbb,baababb=aababbbbbbb,aaaa=1,aaababb=bababbbb [11m11s] # 17661 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:55,nodes:20,pairs:4,completionMax:18us [11m11s] 17661 ab:aaaa=1,abbba=aa infinite;group:a-aaa,b-bb ab - - ab:bbb=1,aaaa=1 [11m11s] from: 17661 ab:aaaa=1,abbba=aa infinite;group:a-aaa,b-bb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=b,b=a [11m11s] # 17662 solved: rounds:3,rules:3,peak:6,longest:9,steps:3,word:5,work:457,nodes:34,pairs:16,completionMax:54us [11m11s] 17662 ab:aaaa=1,abbba=ab finite:36;idempotents:1,abb,aabbbb,bbbbbbbb,aaabbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbbbb,aaaa=1 [11m11s] from: 17662 ab:aaaa=1,abbba=ab finite:36;idempotents:1,abb,aabbbb,bbbbbbbb,aaabbbbbb to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a=b,b=a [11m11s] # 17663 solved: rounds:11,rules:49,peak:60,longest:15,steps:102,word:30,work:516264,nodes:372,pairs:1331,completionMax:17290us [11m11s] 17663 ab:aaaa=1,abbba=bb infinite d/bc/a abababa=c,bbcccc=d frequency:7/0,6/0 abcd:db=bd,cd=bdd,dc=bdd,bbdd=d,cbd=d,bbc=bbbd,cbb=bbbd,bbbbd=bb,dac=dabd,dabbd=da,dabc=da,dabbbd=dab,ddddda=addddd,bad=ddabbb,babd=ddabbbb,babb=ddabbbbbbb,bda=dddabbbbb,bdda=ddddabbbbb,bddda=abddd,bdddda=dabddd,cad=dddabbb,cabd=dddabbbb,cabb=dddabbbbbbb,bba=ddddabbbbbbbbbb,cba=abc,ada=bdd,daac=daabd,daabbd=daa,daabc=daa,daabbbd=daab,dadda=aadddd,daba=aabdd,ddddaa=addad,baad=ddaabbb,baabd=ddaabbbb,baabb=ddaabbbbbbb,caad=dddaabbb,caabd=dddaabbbb,caac=dddaabbbb,caabb=dddaabbbbbbb,aaad=dab,aaabd=dabb,aaabb=dabbbbb,daaa=ddabbb,daaba=daaddabbbbb,baaac=dddabbbbbbb,bababa=aaac,caaa=ababab,aaaa=1 [11m11s] # 17664 solved: rounds:1,rules:2,peak:5,longest:16,steps:4,word:6,work:330,nodes:56,pairs:6,completionMax:55us [11m11s] 17664 ab:aaaa=1,abbbb=aa finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [11m11s] from: 17664 ab:aaaa=1,abbbb=aa finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [11m11s] # 17665 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:20,pairs:1,completionMax:11us [11m11s] 17665 ab:aaaa=1,abbbb=ab infinite ab - - ab:aaaa=1,bbbb=b [11m11s] # 17666 solved: rounds:1,rules:3,peak:3,longest:256,steps:259,word:252,work:37363,nodes:518,pairs:1,completionMax:24308us [11m11s] 17666 ab:aaaa=1,abbbb=ba finite:1024;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbb,aaaa=1 [11m11s] # 17667 solved: rounds:4,rules:3,peak:4,longest:10,steps:2,word:7,work:151,nodes:28,pairs:8,completionMax:46us [11m11s] 17667 ab:aaaa=1,abbbb=bb infinite b/a - - ab:bbbbbbbbbb=bb,abb=bbbbbbbb,aaaa=1 [11m11s] # 17668 solved: rounds:3,rules:2,peak:4,longest:8,steps:17,word:5,work:737,nodes:18,pairs:19,completionMax:58us [11m11s] 17668 ab:aaaa=1,baaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbbbb [11m11s] from: 17668 ab:aaaa=1,baaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b6;saturation:a:a8=1;cancellative;smith:8;group:a-bb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaaaa,b=a [11m11s] # 17669 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:0,work:118,nodes:16,pairs:5,completionMax:19us [11m11s] 17669 ab:aaaa=1,baaab=ab finite:20;idempotents:1,bb,aba,baa,abbaaa ab - - ab:aab=bb,bab=abb,bbb=b,aaaa=1 [11m11s] from: 17669 ab:aaaa=1,baaab=ab finite:20;idempotents:1,bb,aba,baa,abbaaa to: 17635 ab:aaaa=1,aabab=ab finite:20;idempotents:1,bb,aba,baa,abbaaa a=a,b=b [11m11s] # 17670 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:16,pairs:0,completionMax:5us [11m11s] 17670 ab:aaaa=1,baaab=bb infinite ab - - ab:aaaa=1,baaab=bb [11m11s] # 17671 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:434,nodes:26,pairs:12,completionMax:50us [11m11s] 17671 ab:aaaa=1,baabb=aa infinite;group:a-aaa,b-bb ab - - ab:baa=aab,bbb=1,aaaa=1 [11m11s] from: 17671 ab:aaaa=1,baabb=aa infinite;group:a-aaa,b-bb to: 16578 ab:aaaa=1,aabaabb=1 infinite;group:a-aaa,b-bb a=a,b=b [11m11s] # 17672 solved: rounds:5,rules:3,peak:9,longest:9,steps:6,word:5,work:2433,nodes:30,pairs:60,completionMax:188us [11m11s] 17672 ab:aaaa=1,baabb=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,aaaa=1 [11m11s] from: 17672 ab:aaaa=1,baabb=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa anti:a=b,b=a [11m11s] # 17673 solved: rounds:4,rules:3,peak:7,longest:9,steps:3,word:5,work:447,nodes:24,pairs:18,completionMax:61us [11m11s] 17673 ab:aaaa=1,baabb=ba finite:36;idempotents:1,abb,aabbbb,bbbbbbbb,aaabbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbbbb,aaaa=1 [11m11s] from: 17673 ab:aaaa=1,baabb=ba finite:36;idempotents:1,abb,aabbbb,bbbbbbbb,aaabbbbbb to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a=b,b=a [11m11s] # 17674 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:16,pairs:0,completionMax:4us [11m11s] 17674 ab:aaaa=1,baabb=bb infinite ab - - ab:aaaa=1,baabb=bb [11m11s] # 17675 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:0,work:942,nodes:26,pairs:37,completionMax:134us [11m11s] 17675 ab:aaaa=1,babab=aa finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb ab - - ab:ba=ab,bbb=1,aaaa=1 [11m11s] from: 17675 ab:aaaa=1,babab=aa finite:12;center:1,a,b,aa,ab,bb,aaa,aab,abb,aaab,aabb,aaabb;commutative:ab:b3=1,a4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aaa,b-bb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbb,b=bbbb [11m11s] # 17676 solved: rounds:5,rules:3,peak:9,longest:9,steps:4,word:5,work:985,nodes:28,pairs:28,completionMax:107us [11m11s] 17676 ab:aaaa=1,babab=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa b/a - - ab:bbbbbbbbb=b,ab=bbbbbbb,aaaa=1 [11m11s] from: 17676 ab:aaaa=1,babab=ab finite:36;idempotents:1,bba,bbbbaa,bbbbbbbb,bbbbbbaaa to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa anti:a=b,b=a [11m11s] # 17677 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:80,nodes:20,pairs:1,completionMax:10us [11m11s] 17677 ab:aaaa=1,babab=bb infinite ab - - ab:aaaa=1,bbab=babb,babab=bb [11m11s] # 17678 solved: rounds:6,rules:17,peak:31,longest:30,steps:17,word:25,work:246724,nodes:310,pairs:1186,completionMax:14658us [11m11s] 17678 ab:aaaa=1,babbb=aa finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,aa=babbb,aba=bbbbab,abba=bbbbbbbbabbbbbbbbbbbbbb,abbba=bbbabbbb,abbbba=bbbbbbbbbbbb,abbbbba=bbbbbbbbbbbbabbbbbbbbbbbbb,abbbbbba=bbabbbbbbbb,abbbbbbba=bbbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbbbba=bbbbbbbbbbbbbabbbbbbbbbbbbbbb,abbbbbbbbba=bbbbbbbabbbbbb,abbbbbbbbbba=bbbbbbbbbabbbbb,abbbbbbbbbbba=bbbbbabbbbbbbbbb,abbbbbbbbbbbba=bbbbbbbbbbbbbbabb,abbbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,abbbbbbbbbbbbbba=bbbbbbbbbbbabbbbbbb,abbbbbbbbbbbbbbba=bbbbbbbbbbabbbbbbbbb [11m11s] from: 17678 ab:aaaa=1,babbb=aa finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=b [11m11s] # 17679 solved: rounds:4,rules:5,peak:12,longest:17,steps:30,word:24,work:17254,nodes:66,pairs:56,completionMax:516us [11m11s] 17679 ab:aaaa=1,babbb=ab finite:244;idempotents:1,bbbbbbbbbbbbbbb,aaabbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbaaa b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=abbbbbbbbbbbbbb,baab=aabbbbb,baaab=aaabbbbbbbb,aaaa=1 [11m11s] # 17680 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:0,work:219,nodes:32,pairs:4,completionMax:27us [11m11s] 17680 ab:aaaa=1,babbb=ba infinite ab - - ab:aaaa=1,bbbb=b,babbb=ba,baabbb=baa,baaabbb=baaa [11m11s] # 17681 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:16,pairs:0,completionMax:3us [11m11s] 17681 ab:aaaa=1,babbb=bb infinite ab - - ab:aaaa=1,babbb=bb [11m11s] # 17682 solved: rounds:3,rules:2,peak:9,longest:24,steps:31,word:38,work:26503,nodes:76,pairs:82,completionMax:539us [11m11s] 17682 ab:aaaa=1,bbabb=aa finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbb [11m11s] from: 17682 ab:aaaa=1,bbabb=aa finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b4;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaa,b=a [11m11s] # 17683 solved: rounds:5,rules:5,peak:13,longest:17,steps:29,word:24,work:18868,nodes:88,pairs:80,completionMax:750us [11m11s] 17683 ab:aaaa=1,bbabb=ab finite:244;idempotents:1,bbbbbbbbbbbbbbb,aaabbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbaaa b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=abbbbbbbb,baab=aabbbbb,baaab=aaabbbbbbbbbbbbbb,aaaa=1 [11m11s] # 17684 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:5us [11m11s] 17684 ab:aaaa=1,bbabb=bb infinite ab - - ab:aaaa=1,bbabb=bb [11m11s] # 17685 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:0,work:109,nodes:18,pairs:4,completionMax:14us [11m11s] 17685 ab:aaaa=1,bbbbb=aa infinite;group:a-aaa,b-aabbbb ab - - ab:baa=aab,aaaa=1,bbbbb=aa [11m11s] from: 17685 ab:aaaa=1,bbbbb=aa infinite;group:a-aaa,b-aabbbb to: 16589 ab:aaaa=1,aabbbbb=1 infinite;group:a-aaa,b-aabbbb a=a,b=b [11m11s] # 17686 solved: rounds:1,rules:3,peak:3,longest:17,steps:3,word:9,work:62,nodes:40,pairs:1,completionMax:19us [11m11s] 17686 ab:aaaa=1,bbbbb=ab finite:68;idempotents:1,bbbbaaa,bbbbbbbbaa,bbbbbbbbbbbba,bbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbb=b,ab=bbbbb,aaaa=1 [11m11s] # 17687 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:16,pairs:0,completionMax:4us [11m11s] 17687 ab:aaaa=1,bbbbb=bb infinite ab - - ab:aaaa=1,bbbbb=bb [11m11s] # 17688 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:89,nodes:10,pairs:8,completionMax:25us [11m11s] 17688 ab:aaab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17688 ab:aaab=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17689 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:14,pairs:2,completionMax:12us [11m11s] 17689 ab:aaab=1,aaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17689 ab:aaab=1,aaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17690 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:77,nodes:18,pairs:4,completionMax:28us [11m11s] 17690 ab:aaab=1,aaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17690 ab:aaab=1,aaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17691 solved: rounds:2,rules:2,peak:4,longest:13,steps:2,word:7,work:204,nodes:28,pairs:5,completionMax:34us [11m11s] 17691 ab:aaab=1,aaaaa=bb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17691 ab:aaab=1,aaaaa=bb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17692 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:26,nodes:8,pairs:5,completionMax:7us [11m11s] 17692 ab:aaab=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17692 ab:aaab=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17693 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:8us [11m11s] 17693 ab:aaab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17693 ab:aaab=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17694 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:46,nodes:10,pairs:4,completionMax:17us [11m11s] 17694 ab:aaab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17694 ab:aaab=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17695 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:21,nodes:14,pairs:4,completionMax:12us [11m11s] 17695 ab:aaab=1,aaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17695 ab:aaab=1,aaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17696 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:25,nodes:8,pairs:5,completionMax:11us [11m11s] 17696 ab:aaab=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17696 ab:aaab=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17697 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:6us [11m11s] 17697 ab:aaab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17697 ab:aaab=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17698 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:45,nodes:10,pairs:4,completionMax:16us [11m11s] 17698 ab:aaab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17698 ab:aaab=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17699 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:3,work:20,nodes:14,pairs:4,completionMax:14us [11m11s] 17699 ab:aaab=1,aaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17699 ab:aaab=1,aaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17700 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:5us [11m11s] 17700 ab:aaab=1,aaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17700 ab:aaab=1,aaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17701 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:10,nodes:8,pairs:2,completionMax:5us [11m11s] 17701 ab:aaab=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17701 ab:aaab=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17702 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:34,nodes:10,pairs:5,completionMax:12us [11m11s] 17702 ab:aaab=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17702 ab:aaab=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17703 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:15,nodes:10,pairs:2,completionMax:7us [11m11s] 17703 ab:aaab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17703 ab:aaab=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17704 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:148,nodes:12,pairs:12,completionMax:21us [11m11s] 17704 ab:aaab=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17704 ab:aaab=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17705 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:709,nodes:20,pairs:54,completionMax:96us [11m11s] 17705 ab:aaab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17705 ab:aaab=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17706 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:472,nodes:22,pairs:34,completionMax:64us [11m11s] 17706 ab:aaab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17706 ab:aaab=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17707 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:3,work:42,nodes:14,pairs:4,completionMax:15us [11m11s] 17707 ab:aaab=1,aabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17707 ab:aaab=1,aabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17708 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:1,work:19,nodes:12,pairs:4,completionMax:13us [11m11s] 17708 ab:aaab=1,aabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17708 ab:aaab=1,aabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17709 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:11,nodes:12,pairs:5,completionMax:9us [11m11s] 17709 ab:aaab=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17709 ab:aaab=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17710 solved: rounds:3,rules:2,peak:4,longest:5,steps:4,word:0,work:77,nodes:14,pairs:10,completionMax:23us [11m11s] 17710 ab:aaab=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17710 ab:aaab=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17711 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:32,nodes:14,pairs:5,completionMax:13us [11m11s] 17711 ab:aaab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17711 ab:aaab=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17712 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:1,work:159,nodes:16,pairs:13,completionMax:40us [11m11s] 17712 ab:aaab=1,aabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17712 ab:aaab=1,aabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17713 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:844,nodes:22,pairs:23,completionMax:95us [11m11s] 17713 ab:aaab=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17713 ab:aaab=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17714 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:163,nodes:14,pairs:20,completionMax:40us [11m11s] 17714 ab:aaab=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17714 ab:aaab=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17715 solved: rounds:3,rules:2,peak:16,longest:5,steps:4,word:0,work:1852,nodes:32,pairs:92,completionMax:238us [11m11s] 17715 ab:aaab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17715 ab:aaab=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17716 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:5,work:62,nodes:20,pairs:5,completionMax:24us [11m11s] 17716 ab:aaab=1,aabbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17716 ab:aaab=1,aabbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17717 solved: rounds:3,rules:2,peak:3,longest:5,steps:3,word:1,work:65,nodes:14,pairs:5,completionMax:17us [11m11s] 17717 ab:aaab=1,aabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17717 ab:aaab=1,aabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17718 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:67,nodes:14,pairs:6,completionMax:31us [11m11s] 17718 ab:aaab=1,aabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17718 ab:aaab=1,aabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17719 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:49,nodes:14,pairs:5,completionMax:13us [11m11s] 17719 ab:aaab=1,aabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17719 ab:aaab=1,aabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17720 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:279,nodes:14,pairs:19,completionMax:36us [11m11s] 17720 ab:aaab=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17720 ab:aaab=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17721 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:241,nodes:14,pairs:13,completionMax:42us [11m11s] 17721 ab:aaab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17721 ab:aaab=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17722 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:530,nodes:22,pairs:34,completionMax:97us [11m11s] 17722 ab:aaab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17722 ab:aaab=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17723 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:3,work:35,nodes:14,pairs:4,completionMax:20us [11m11s] 17723 ab:aaab=1,abaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17723 ab:aaab=1,abaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17724 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:144,nodes:16,pairs:11,completionMax:28us [11m11s] 17724 ab:aaab=1,abaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17724 ab:aaab=1,abaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17725 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:14,pairs:4,completionMax:10us [11m11s] 17725 ab:aaab=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17725 ab:aaab=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17726 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:265,nodes:20,pairs:21,completionMax:49us [11m11s] 17726 ab:aaab=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17726 ab:aaab=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17727 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:206,nodes:24,pairs:11,completionMax:33us [11m11s] 17727 ab:aaab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17727 ab:aaab=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17728 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:1,work:178,nodes:14,pairs:10,completionMax:32us [11m11s] 17728 ab:aaab=1,ababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17728 ab:aaab=1,ababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17729 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:274,nodes:22,pairs:28,completionMax:57us [11m11s] 17729 ab:aaab=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17729 ab:aaab=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17730 solved: rounds:4,rules:2,peak:7,longest:5,steps:6,word:0,work:522,nodes:22,pairs:33,completionMax:63us [11m11s] 17730 ab:aaab=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17730 ab:aaab=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17731 solved: rounds:3,rules:2,peak:13,longest:5,steps:4,word:0,work:2212,nodes:34,pairs:66,completionMax:221us [11m11s] 17731 ab:aaab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17731 ab:aaab=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17732 solved: rounds:3,rules:2,peak:4,longest:11,steps:2,word:5,work:184,nodes:24,pairs:6,completionMax:35us [11m11s] 17732 ab:aaab=1,ababb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17732 ab:aaab=1,ababb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17733 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:1,work:15,nodes:14,pairs:4,completionMax:13us [11m11s] 17733 ab:aaab=1,ababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17733 ab:aaab=1,ababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17734 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:1,work:28,nodes:14,pairs:5,completionMax:14us [11m11s] 17734 ab:aaab=1,ababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17734 ab:aaab=1,ababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17735 solved: rounds:5,rules:2,peak:4,longest:5,steps:2,word:0,work:47,nodes:16,pairs:8,completionMax:28us [11m11s] 17735 ab:aaab=1,ababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17735 ab:aaab=1,ababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17736 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:1,work:213,nodes:20,pairs:15,completionMax:37us [11m11s] 17736 ab:aaab=1,abbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17736 ab:aaab=1,abbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17737 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:340,nodes:20,pairs:20,completionMax:71us [11m11s] 17737 ab:aaab=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17737 ab:aaab=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17738 solved: rounds:3,rules:2,peak:11,longest:5,steps:7,word:0,work:859,nodes:22,pairs:27,completionMax:101us [11m11s] 17738 ab:aaab=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17738 ab:aaab=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17739 solved: rounds:3,rules:2,peak:16,longest:6,steps:6,word:0,work:3163,nodes:36,pairs:52,completionMax:235us [11m11s] 17739 ab:aaab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17739 ab:aaab=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17740 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:10,work:457,nodes:28,pairs:20,completionMax:65us [11m11s] 17740 ab:aaab=1,abbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17740 ab:aaab=1,abbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17741 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:89,nodes:18,pairs:10,completionMax:26us [11m11s] 17741 ab:aaab=1,abbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17741 ab:aaab=1,abbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17742 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:2,work:549,nodes:26,pairs:24,completionMax:64us [11m11s] 17742 ab:aaab=1,abbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17742 ab:aaab=1,abbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17743 solved: rounds:4,rules:2,peak:9,longest:6,steps:5,word:0,work:1963,nodes:32,pairs:31,completionMax:126us [11m11s] 17743 ab:aaab=1,abbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17743 ab:aaab=1,abbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17744 solved: rounds:3,rules:2,peak:6,longest:11,steps:2,word:5,work:431,nodes:30,pairs:20,completionMax:84us [11m11s] 17744 ab:aaab=1,abbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17744 ab:aaab=1,abbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17745 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:2,work:296,nodes:18,pairs:17,completionMax:46us [11m11s] 17745 ab:aaab=1,abbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17745 ab:aaab=1,abbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17746 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:2,work:295,nodes:18,pairs:17,completionMax:57us [11m11s] 17746 ab:aaab=1,abbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17746 ab:aaab=1,abbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17747 solved: rounds:4,rules:2,peak:14,longest:6,steps:6,word:0,work:5429,nodes:48,pairs:124,completionMax:486us [11m11s] 17747 ab:aaab=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17747 ab:aaab=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17748 solved: rounds:3,rules:2,peak:5,longest:13,steps:5,word:9,work:295,nodes:34,pairs:11,completionMax:44us [11m11s] 17748 ab:aaab=1,abbbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17748 ab:aaab=1,abbbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17749 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:5,work:70,nodes:20,pairs:6,completionMax:20us [11m11s] 17749 ab:aaab=1,abbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17749 ab:aaab=1,abbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17750 solved: rounds:3,rules:2,peak:5,longest:9,steps:5,word:5,work:333,nodes:18,pairs:16,completionMax:45us [11m11s] 17750 ab:aaab=1,abbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17750 ab:aaab=1,abbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17751 solved: rounds:3,rules:2,peak:6,longest:7,steps:20,word:2,work:789,nodes:24,pairs:11,completionMax:73us [11m11s] 17751 ab:aaab=1,abbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17751 ab:aaab=1,abbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17752 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:419,nodes:18,pairs:31,completionMax:52us [11m11s] 17752 ab:aaab=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17752 ab:aaab=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17753 solved: rounds:2,rules:2,peak:9,longest:5,steps:3,word:0,work:445,nodes:22,pairs:29,completionMax:96us [11m11s] 17753 ab:aaab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17753 ab:aaab=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17754 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:261,nodes:16,pairs:16,completionMax:54us [11m11s] 17754 ab:aaab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17754 ab:aaab=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17755 solved: rounds:2,rules:2,peak:4,longest:12,steps:1,word:3,work:330,nodes:26,pairs:7,completionMax:39us [11m11s] 17755 ab:aaab=1,baaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17755 ab:aaab=1,baaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17756 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:9us [11m11s] 17756 ab:aaab=1,baaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17756 ab:aaab=1,baaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17757 solved: rounds:2,rules:2,peak:2,longest:4,steps:2,word:0,work:11,nodes:8,pairs:2,completionMax:5us [11m11s] 17757 ab:aaab=1,baaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17757 ab:aaab=1,baaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17758 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:35,nodes:10,pairs:5,completionMax:14us [11m11s] 17758 ab:aaab=1,baaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17758 ab:aaab=1,baaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17759 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:16,nodes:10,pairs:2,completionMax:7us [11m11s] 17759 ab:aaab=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17759 ab:aaab=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17760 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:2,work:587,nodes:22,pairs:34,completionMax:106us [11m11s] 17760 ab:aaab=1,baaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17760 ab:aaab=1,baaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17761 solved: rounds:2,rules:2,peak:6,longest:5,steps:8,word:0,work:355,nodes:26,pairs:29,completionMax:70us [11m11s] 17761 ab:aaab=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17761 ab:aaab=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17762 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:141,nodes:18,pairs:10,completionMax:37us [11m11s] 17762 ab:aaab=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17762 ab:aaab=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17763 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:434,nodes:26,pairs:23,completionMax:51us [11m11s] 17763 ab:aaab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17763 ab:aaab=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17764 solved: rounds:3,rules:2,peak:6,longest:11,steps:3,word:5,work:669,nodes:34,pairs:17,completionMax:84us [11m11s] 17764 ab:aaab=1,baabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17764 ab:aaab=1,baabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17765 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:1,work:166,nodes:20,pairs:12,completionMax:31us [11m11s] 17765 ab:aaab=1,baabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17765 ab:aaab=1,baabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17766 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:157,nodes:20,pairs:9,completionMax:31us [11m11s] 17766 ab:aaab=1,baabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17766 ab:aaab=1,baabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17767 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:35,nodes:18,pairs:5,completionMax:16us [11m11s] 17767 ab:aaab=1,baabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17767 ab:aaab=1,baabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17768 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:1,work:408,nodes:24,pairs:21,completionMax:87us [11m11s] 17768 ab:aaab=1,babaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17768 ab:aaab=1,babaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17769 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:551,nodes:20,pairs:51,completionMax:107us [11m11s] 17769 ab:aaab=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17769 ab:aaab=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17770 solved: rounds:3,rules:2,peak:13,longest:5,steps:4,word:0,work:931,nodes:22,pairs:39,completionMax:92us [11m11s] 17770 ab:aaab=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17770 ab:aaab=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17771 solved: rounds:3,rules:2,peak:12,longest:5,steps:4,word:0,work:943,nodes:26,pairs:60,completionMax:128us [11m11s] 17771 ab:aaab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17771 ab:aaab=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17772 solved: rounds:3,rules:2,peak:5,longest:12,steps:9,word:10,work:653,nodes:34,pairs:10,completionMax:56us [11m11s] 17772 ab:aaab=1,babab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17772 ab:aaab=1,babab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17773 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:2,work:216,nodes:22,pairs:17,completionMax:48us [11m11s] 17773 ab:aaab=1,babab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17773 ab:aaab=1,babab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17774 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:180,nodes:22,pairs:14,completionMax:28us [11m11s] 17774 ab:aaab=1,babab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17774 ab:aaab=1,babab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17775 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:299,nodes:24,pairs:19,completionMax:36us [11m11s] 17775 ab:aaab=1,babab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17775 ab:aaab=1,babab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17776 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:10,work:908,nodes:32,pairs:27,completionMax:94us [11m11s] 17776 ab:aaab=1,babba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17776 ab:aaab=1,babba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17777 solved: rounds:3,rules:2,peak:7,longest:5,steps:6,word:2,work:666,nodes:22,pairs:27,completionMax:90us [11m11s] 17777 ab:aaab=1,babba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17777 ab:aaab=1,babba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17778 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:1,work:211,nodes:20,pairs:14,completionMax:37us [11m11s] 17778 ab:aaab=1,babba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17778 ab:aaab=1,babba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17779 solved: rounds:4,rules:2,peak:9,longest:5,steps:6,word:0,work:1556,nodes:30,pairs:43,completionMax:132us [11m11s] 17779 ab:aaab=1,babba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17779 ab:aaab=1,babba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17780 solved: rounds:3,rules:2,peak:7,longest:13,steps:5,word:9,work:836,nodes:28,pairs:31,completionMax:71us [11m11s] 17780 ab:aaab=1,babbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17780 ab:aaab=1,babbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17781 solved: rounds:3,rules:2,peak:5,longest:9,steps:7,word:5,work:615,nodes:22,pairs:19,completionMax:58us [11m11s] 17781 ab:aaab=1,babbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17781 ab:aaab=1,babbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17782 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:5,work:82,nodes:20,pairs:7,completionMax:28us [11m11s] 17782 ab:aaab=1,babbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17782 ab:aaab=1,babbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17783 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:1,work:74,nodes:20,pairs:6,completionMax:21us [11m11s] 17783 ab:aaab=1,babbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17783 ab:aaab=1,babbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17784 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:1,work:302,nodes:22,pairs:24,completionMax:65us [11m11s] 17784 ab:aaab=1,bbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17784 ab:aaab=1,bbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17785 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:561,nodes:26,pairs:30,completionMax:90us [11m11s] 17785 ab:aaab=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17785 ab:aaab=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17786 solved: rounds:2,rules:2,peak:10,longest:5,steps:4,word:0,work:351,nodes:20,pairs:19,completionMax:66us [11m11s] 17786 ab:aaab=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17786 ab:aaab=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17787 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:664,nodes:20,pairs:16,completionMax:78us [11m11s] 17787 ab:aaab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17787 ab:aaab=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17788 solved: rounds:4,rules:2,peak:8,longest:10,steps:2,word:5,work:907,nodes:36,pairs:35,completionMax:135us [11m11s] 17788 ab:aaab=1,bbaab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17788 ab:aaab=1,bbaab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17789 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:170,nodes:20,pairs:13,completionMax:38us [11m11s] 17789 ab:aaab=1,bbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17789 ab:aaab=1,bbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17790 solved: rounds:3,rules:2,peak:4,longest:5,steps:1,word:1,work:93,nodes:20,pairs:12,completionMax:35us [11m11s] 17790 ab:aaab=1,bbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17790 ab:aaab=1,bbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17791 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:55,nodes:20,pairs:5,completionMax:18us [11m11s] 17791 ab:aaab=1,bbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17791 ab:aaab=1,bbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17792 solved: rounds:3,rules:2,peak:9,longest:9,steps:2,word:5,work:793,nodes:30,pairs:53,completionMax:166us [11m11s] 17792 ab:aaab=1,bbaba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17792 ab:aaab=1,bbaba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17793 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:2,work:329,nodes:20,pairs:21,completionMax:58us [11m11s] 17793 ab:aaab=1,bbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17793 ab:aaab=1,bbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17794 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:371,nodes:24,pairs:18,completionMax:73us [11m11s] 17794 ab:aaab=1,bbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17794 ab:aaab=1,bbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17795 solved: rounds:4,rules:2,peak:8,longest:5,steps:3,word:0,work:528,nodes:24,pairs:34,completionMax:63us [11m11s] 17795 ab:aaab=1,bbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17795 ab:aaab=1,bbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17796 solved: rounds:2,rules:2,peak:6,longest:13,steps:3,word:9,work:769,nodes:42,pairs:22,completionMax:90us [11m11s] 17796 ab:aaab=1,bbabb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17796 ab:aaab=1,bbabb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17797 solved: rounds:4,rules:2,peak:7,longest:9,steps:6,word:5,work:848,nodes:26,pairs:33,completionMax:130us [11m11s] 17797 ab:aaab=1,bbabb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17797 ab:aaab=1,bbabb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17798 solved: rounds:3,rules:2,peak:7,longest:9,steps:5,word:5,work:876,nodes:32,pairs:39,completionMax:117us [11m11s] 17798 ab:aaab=1,bbabb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17798 ab:aaab=1,bbabb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17799 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:81,nodes:20,pairs:5,completionMax:20us [11m11s] 17799 ab:aaab=1,bbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17799 ab:aaab=1,bbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17800 solved: rounds:3,rules:2,peak:6,longest:11,steps:2,word:5,work:438,nodes:30,pairs:19,completionMax:76us [11m11s] 17800 ab:aaab=1,bbbaa=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17800 ab:aaab=1,bbbaa=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17801 solved: rounds:2,rules:2,peak:9,longest:5,steps:21,word:2,work:1293,nodes:24,pairs:21,completionMax:92us [11m11s] 17801 ab:aaab=1,bbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17801 ab:aaab=1,bbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17802 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:2,work:1371,nodes:28,pairs:46,completionMax:143us [11m11s] 17802 ab:aaab=1,bbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17802 ab:aaab=1,bbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17803 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:429,nodes:18,pairs:23,completionMax:57us [11m11s] 17803 ab:aaab=1,bbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17803 ab:aaab=1,bbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17804 solved: rounds:3,rules:2,peak:9,longest:13,steps:3,word:9,work:1112,nodes:30,pairs:43,completionMax:143us [11m11s] 17804 ab:aaab=1,bbbab=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17804 ab:aaab=1,bbbab=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17805 solved: rounds:4,rules:2,peak:6,longest:9,steps:5,word:5,work:641,nodes:22,pairs:25,completionMax:77us [11m11s] 17805 ab:aaab=1,bbbab=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17805 ab:aaab=1,bbbab=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17806 solved: rounds:4,rules:2,peak:8,longest:9,steps:2,word:5,work:589,nodes:32,pairs:27,completionMax:87us [11m11s] 17806 ab:aaab=1,bbbab=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17806 ab:aaab=1,bbbab=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17807 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:2,work:128,nodes:18,pairs:8,completionMax:31us [11m11s] 17807 ab:aaab=1,bbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17807 ab:aaab=1,bbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17808 solved: rounds:4,rules:2,peak:7,longest:13,steps:5,word:9,work:909,nodes:38,pairs:28,completionMax:108us [11m11s] 17808 ab:aaab=1,bbbba=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17808 ab:aaab=1,bbbba=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17809 solved: rounds:4,rules:2,peak:8,longest:12,steps:9,word:10,work:977,nodes:32,pairs:26,completionMax:118us [11m11s] 17809 ab:aaab=1,bbbba=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17809 ab:aaab=1,bbbba=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17810 solved: rounds:4,rules:2,peak:6,longest:10,steps:2,word:5,work:350,nodes:24,pairs:20,completionMax:85us [11m11s] 17810 ab:aaab=1,bbbba=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17810 ab:aaab=1,bbbba=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17811 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:2,work:1386,nodes:26,pairs:70,completionMax:214us [11m11s] 17811 ab:aaab=1,bbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17811 ab:aaab=1,bbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17812 solved: rounds:4,rules:2,peak:8,longest:17,steps:6,word:26,work:1559,nodes:34,pairs:45,completionMax:164us [11m11s] 17812 ab:aaab=1,bbbbb=aa finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [11m11s] from: 17812 ab:aaab=1,bbbbb=aa finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [11m11s] # 17813 solved: rounds:3,rules:2,peak:7,longest:14,steps:7,word:9,work:1207,nodes:30,pairs:44,completionMax:111us [11m11s] 17813 ab:aaab=1,bbbbb=ab finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17813 ab:aaab=1,bbbbb=ab finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17814 solved: rounds:5,rules:2,peak:5,longest:13,steps:8,word:9,work:622,nodes:26,pairs:29,completionMax:80us [11m11s] 17814 ab:aaab=1,bbbbb=ba finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17814 ab:aaab=1,bbbbb=ba finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17815 solved: rounds:4,rules:2,peak:4,longest:9,steps:2,word:5,work:138,nodes:20,pairs:7,completionMax:43us [11m11s] 17815 ab:aaab=1,bbbbb=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17815 ab:aaab=1,bbbbb=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17816 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:150,nodes:14,pairs:14,completionMax:64us [11m11s] 17816 ab:aaba=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17816 ab:aaba=1,aaaaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17817 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:3,work:17,nodes:14,pairs:2,completionMax:15us [11m11s] 17817 ab:aaba=1,aaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17817 ab:aaba=1,aaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17818 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:3,work:22,nodes:16,pairs:3,completionMax:16us [11m11s] 17818 ab:aaba=1,aaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17818 ab:aaba=1,aaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17819 solved: rounds:3,rules:2,peak:9,longest:14,steps:7,word:14,work:2010,nodes:44,pairs:37,completionMax:176us [11m11s] 17819 ab:aaba=1,aaaaa=bb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 17819 ab:aaba=1,aaaaa=bb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b7;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbbb,b=b [11m11s] # 17820 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:234,nodes:14,pairs:16,completionMax:34us [11m11s] 17820 ab:aaba=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17820 ab:aaba=1,aaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17821 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:179,nodes:14,pairs:23,completionMax:32us [11m11s] 17821 ab:aaba=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17821 ab:aaba=1,aaaab=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17822 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:349,nodes:20,pairs:21,completionMax:42us [11m11s] 17822 ab:aaba=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17822 ab:aaba=1,aaaab=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17823 solved: rounds:3,rules:2,peak:9,longest:11,steps:9,word:10,work:1736,nodes:36,pairs:18,completionMax:91us [11m11s] 17823 ab:aaba=1,aaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17823 ab:aaba=1,aaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17824 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:8,pairs:4,completionMax:9us [11m11s] 17824 ab:aaba=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17824 ab:aaba=1,aaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17825 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:5us [11m11s] 17825 ab:aaba=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17825 ab:aaba=1,aaaba=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17826 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:10,pairs:3,completionMax:4us [11m11s] 17826 ab:aaba=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17826 ab:aaba=1,aaaba=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17827 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:57,nodes:16,pairs:4,completionMax:11us [11m11s] 17827 ab:aaba=1,aaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17827 ab:aaba=1,aaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17828 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:108,nodes:16,pairs:6,completionMax:16us [11m11s] 17828 ab:aaba=1,aaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17828 ab:aaba=1,aaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17829 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:131,nodes:14,pairs:21,completionMax:36us [11m11s] 17829 ab:aaba=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17829 ab:aaba=1,aaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17830 solved: rounds:2,rules:2,peak:9,longest:5,steps:7,word:0,work:341,nodes:18,pairs:14,completionMax:54us [11m11s] 17830 ab:aaba=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17830 ab:aaba=1,aaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17831 solved: rounds:5,rules:2,peak:6,longest:5,steps:3,word:0,work:352,nodes:20,pairs:18,completionMax:52us [11m11s] 17831 ab:aaba=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17831 ab:aaba=1,aaabb=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17832 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:8,pairs:4,completionMax:11us [11m11s] 17832 ab:aaba=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17832 ab:aaba=1,aabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17833 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:2,completionMax:6us [11m11s] 17833 ab:aaba=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17833 ab:aaba=1,aabaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17834 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:10,pairs:3,completionMax:5us [11m11s] 17834 ab:aaba=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17834 ab:aaba=1,aabaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17835 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:56,nodes:16,pairs:4,completionMax:14us [11m11s] 17835 ab:aaba=1,aabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17835 ab:aaba=1,aabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17836 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:9,nodes:10,pairs:1,completionMax:7us [11m11s] 17836 ab:aaba=1,aabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17836 ab:aaba=1,aabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17837 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:27,nodes:8,pairs:5,completionMax:8us [11m11s] 17837 ab:aaba=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17837 ab:aaba=1,aabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17838 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:50,nodes:10,pairs:8,completionMax:20us [11m11s] 17838 ab:aaba=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17838 ab:aaba=1,aabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17839 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:58,nodes:12,pairs:5,completionMax:16us [11m11s] 17839 ab:aaba=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17839 ab:aaba=1,aabab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17840 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:293,nodes:16,pairs:9,completionMax:40us [11m11s] 17840 ab:aaba=1,aabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17840 ab:aaba=1,aabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17841 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:399,nodes:14,pairs:21,completionMax:63us [11m11s] 17841 ab:aaba=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17841 ab:aaba=1,aabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17842 solved: rounds:3,rules:2,peak:7,longest:5,steps:4,word:0,work:304,nodes:14,pairs:33,completionMax:55us [11m11s] 17842 ab:aaba=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17842 ab:aaba=1,aabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17843 solved: rounds:2,rules:2,peak:10,longest:6,steps:6,word:0,work:951,nodes:26,pairs:29,completionMax:98us [11m11s] 17843 ab:aaba=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17843 ab:aaba=1,aabba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17844 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1326,nodes:48,pairs:31,completionMax:140us [11m11s] 17844 ab:aaba=1,aabbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17844 ab:aaba=1,aabbb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17845 solved: rounds:5,rules:2,peak:7,longest:6,steps:21,word:2,work:1218,nodes:24,pairs:23,completionMax:73us [11m11s] 17845 ab:aaba=1,aabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17845 ab:aaba=1,aabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17846 solved: rounds:4,rules:2,peak:7,longest:8,steps:11,word:7,work:2177,nodes:30,pairs:34,completionMax:189us [11m11s] 17846 ab:aaba=1,aabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17846 ab:aaba=1,aabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17847 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:323,nodes:16,pairs:20,completionMax:42us [11m11s] 17847 ab:aaba=1,aabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17847 ab:aaba=1,aabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17848 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:274,nodes:18,pairs:28,completionMax:63us [11m11s] 17848 ab:aaba=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17848 ab:aaba=1,abaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17849 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:781,nodes:24,pairs:41,completionMax:76us [11m11s] 17849 ab:aaba=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17849 ab:aaba=1,abaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17850 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:454,nodes:20,pairs:28,completionMax:68us [11m11s] 17850 ab:aaba=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17850 ab:aaba=1,abaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17851 solved: rounds:3,rules:2,peak:6,longest:10,steps:20,word:6,work:2281,nodes:32,pairs:17,completionMax:86us [11m11s] 17851 ab:aaba=1,abaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17851 ab:aaba=1,abaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17852 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:113,nodes:22,pairs:12,completionMax:36us [11m11s] 17852 ab:aaba=1,abaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17852 ab:aaba=1,abaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17853 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:228,nodes:18,pairs:18,completionMax:45us [11m11s] 17853 ab:aaba=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17853 ab:aaba=1,abaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17854 solved: rounds:3,rules:2,peak:7,longest:5,steps:5,word:0,work:480,nodes:20,pairs:34,completionMax:57us [11m11s] 17854 ab:aaba=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17854 ab:aaba=1,abaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17855 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:396,nodes:22,pairs:23,completionMax:45us [11m11s] 17855 ab:aaba=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17855 ab:aaba=1,abaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17856 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:2,work:225,nodes:20,pairs:11,completionMax:47us [11m11s] 17856 ab:aaba=1,ababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17856 ab:aaba=1,ababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17857 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:551,nodes:20,pairs:51,completionMax:82us [11m11s] 17857 ab:aaba=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17857 ab:aaba=1,ababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17858 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:383,nodes:20,pairs:27,completionMax:70us [11m11s] 17858 ab:aaba=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17858 ab:aaba=1,ababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17859 solved: rounds:2,rules:2,peak:7,longest:5,steps:5,word:0,work:734,nodes:26,pairs:35,completionMax:96us [11m11s] 17859 ab:aaba=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17859 ab:aaba=1,ababa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17860 solved: rounds:3,rules:2,peak:5,longest:9,steps:26,word:10,work:972,nodes:26,pairs:18,completionMax:73us [11m11s] 17860 ab:aaba=1,ababb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17860 ab:aaba=1,ababb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17861 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:1,work:435,nodes:22,pairs:27,completionMax:56us [11m11s] 17861 ab:aaba=1,ababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17861 ab:aaba=1,ababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17862 solved: rounds:4,rules:2,peak:6,longest:7,steps:12,word:2,work:1617,nodes:24,pairs:24,completionMax:97us [11m11s] 17862 ab:aaba=1,ababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17862 ab:aaba=1,ababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17863 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:236,nodes:14,pairs:15,completionMax:30us [11m11s] 17863 ab:aaba=1,ababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17863 ab:aaba=1,ababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17864 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:3,work:739,nodes:28,pairs:31,completionMax:78us [11m11s] 17864 ab:aaba=1,abbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17864 ab:aaba=1,abbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17865 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:626,nodes:20,pairs:30,completionMax:88us [11m11s] 17865 ab:aaba=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17865 ab:aaba=1,abbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17866 solved: rounds:2,rules:2,peak:10,longest:5,steps:6,word:0,work:553,nodes:24,pairs:31,completionMax:65us [11m11s] 17866 ab:aaba=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17866 ab:aaba=1,abbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17867 solved: rounds:2,rules:2,peak:13,longest:6,steps:7,word:0,work:1618,nodes:30,pairs:38,completionMax:159us [11m11s] 17867 ab:aaba=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17867 ab:aaba=1,abbaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17868 solved: rounds:3,rules:2,peak:7,longest:9,steps:7,word:10,work:751,nodes:22,pairs:37,completionMax:102us [11m11s] 17868 ab:aaba=1,abbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17868 ab:aaba=1,abbab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17869 solved: rounds:5,rules:2,peak:7,longest:6,steps:6,word:1,work:627,nodes:24,pairs:19,completionMax:64us [11m11s] 17869 ab:aaba=1,abbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17869 ab:aaba=1,abbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17870 solved: rounds:4,rules:2,peak:7,longest:7,steps:14,word:3,work:2841,nodes:32,pairs:30,completionMax:117us [11m11s] 17870 ab:aaba=1,abbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17870 ab:aaba=1,abbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17871 solved: rounds:5,rules:2,peak:9,longest:5,steps:4,word:0,work:1589,nodes:28,pairs:28,completionMax:113us [11m11s] 17871 ab:aaba=1,abbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17871 ab:aaba=1,abbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17872 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1438,nodes:48,pairs:34,completionMax:157us [11m11s] 17872 ab:aaba=1,abbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17872 ab:aaba=1,abbba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17873 solved: rounds:4,rules:2,peak:9,longest:8,steps:11,word:2,work:2076,nodes:32,pairs:36,completionMax:110us [11m11s] 17873 ab:aaba=1,abbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17873 ab:aaba=1,abbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17874 solved: rounds:5,rules:2,peak:7,longest:6,steps:9,word:2,work:1567,nodes:24,pairs:31,completionMax:111us [11m11s] 17874 ab:aaba=1,abbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17874 ab:aaba=1,abbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17875 solved: rounds:4,rules:2,peak:10,longest:6,steps:8,word:0,work:2018,nodes:32,pairs:33,completionMax:104us [11m11s] 17875 ab:aaba=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17875 ab:aaba=1,abbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17876 solved: rounds:6,rules:2,peak:4,longest:13,steps:8,word:9,work:657,nodes:26,pairs:17,completionMax:82us [11m11s] 17876 ab:aaba=1,abbbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17876 ab:aaba=1,abbbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17877 solved: rounds:6,rules:2,peak:7,longest:9,steps:5,word:5,work:529,nodes:24,pairs:25,completionMax:79us [11m11s] 17877 ab:aaba=1,abbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17877 ab:aaba=1,abbbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17878 solved: rounds:6,rules:2,peak:6,longest:9,steps:20,word:5,work:1768,nodes:30,pairs:28,completionMax:76us [11m11s] 17878 ab:aaba=1,abbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17878 ab:aaba=1,abbbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17879 solved: rounds:6,rules:2,peak:9,longest:6,steps:9,word:2,work:2847,nodes:28,pairs:44,completionMax:129us [11m11s] 17879 ab:aaba=1,abbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17879 ab:aaba=1,abbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17880 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:266,nodes:20,pairs:23,completionMax:35us [11m11s] 17880 ab:aaba=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17880 ab:aaba=1,baaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17881 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:399,nodes:22,pairs:34,completionMax:54us [11m11s] 17881 ab:aaba=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17881 ab:aaba=1,baaaa=ab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17882 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:190,nodes:18,pairs:18,completionMax:23us [11m11s] 17882 ab:aaba=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17882 ab:aaba=1,baaaa=ba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17883 solved: rounds:3,rules:2,peak:9,longest:18,steps:9,word:17,work:2175,nodes:50,pairs:32,completionMax:135us [11m11s] 17883 ab:aaba=1,baaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa a/b - - ab:aaaaaaa=1,b=aaaa [11m11s] from: 17883 ab:aaba=1,baaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b2;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bb,b=b [11m11s] # 17884 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:103,nodes:16,pairs:12,completionMax:21us [11m11s] 17884 ab:aaba=1,baaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17884 ab:aaba=1,baaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17885 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:326,nodes:22,pairs:21,completionMax:58us [11m11s] 17885 ab:aaba=1,baaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17885 ab:aaba=1,baaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17886 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:244,nodes:18,pairs:18,completionMax:34us [11m11s] 17886 ab:aaba=1,baaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17886 ab:aaba=1,baaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17887 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:239,nodes:20,pairs:14,completionMax:29us [11m11s] 17887 ab:aaba=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17887 ab:aaba=1,baaab=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17888 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:10,nodes:10,pairs:1,completionMax:5us [11m11s] 17888 ab:aaba=1,baaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17888 ab:aaba=1,baaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17889 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:28,nodes:8,pairs:5,completionMax:7us [11m11s] 17889 ab:aaba=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17889 ab:aaba=1,baaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17890 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:51,nodes:10,pairs:8,completionMax:11us [11m11s] 17890 ab:aaba=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17890 ab:aaba=1,baaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17891 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:59,nodes:12,pairs:5,completionMax:15us [11m11s] 17891 ab:aaba=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17891 ab:aaba=1,baaba=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17892 solved: rounds:3,rules:2,peak:7,longest:9,steps:10,word:5,work:762,nodes:24,pairs:23,completionMax:68us [11m11s] 17892 ab:aaba=1,baabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17892 ab:aaba=1,baabb=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17893 solved: rounds:4,rules:2,peak:5,longest:7,steps:13,word:2,work:932,nodes:22,pairs:20,completionMax:77us [11m11s] 17893 ab:aaba=1,baabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17893 ab:aaba=1,baabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17894 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:2,work:402,nodes:22,pairs:26,completionMax:84us [11m11s] 17894 ab:aaba=1,baabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17894 ab:aaba=1,baabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17895 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:280,nodes:18,pairs:20,completionMax:43us [11m11s] 17895 ab:aaba=1,baabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17895 ab:aaba=1,baabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17896 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:1,work:283,nodes:16,pairs:15,completionMax:33us [11m11s] 17896 ab:aaba=1,babaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17896 ab:aaba=1,babaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17897 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:875,nodes:24,pairs:35,completionMax:104us [11m11s] 17897 ab:aaba=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17897 ab:aaba=1,babaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17898 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:234,nodes:18,pairs:26,completionMax:38us [11m11s] 17898 ab:aaba=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17898 ab:aaba=1,babaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17899 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:0,work:598,nodes:26,pairs:28,completionMax:74us [11m11s] 17899 ab:aaba=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17899 ab:aaba=1,babaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17900 solved: rounds:2,rules:2,peak:6,longest:9,steps:23,word:10,work:1997,nodes:34,pairs:22,completionMax:83us [11m11s] 17900 ab:aaba=1,babab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17900 ab:aaba=1,babab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17901 solved: rounds:2,rules:2,peak:6,longest:8,steps:12,word:2,work:860,nodes:28,pairs:11,completionMax:65us [11m11s] 17901 ab:aaba=1,babab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17901 ab:aaba=1,babab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17902 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:1,work:232,nodes:16,pairs:14,completionMax:36us [11m11s] 17902 ab:aaba=1,babab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17902 ab:aaba=1,babab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17903 solved: rounds:3,rules:2,peak:8,longest:5,steps:7,word:0,work:531,nodes:22,pairs:18,completionMax:61us [11m11s] 17903 ab:aaba=1,babab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17903 ab:aaba=1,babab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17904 solved: rounds:2,rules:2,peak:10,longest:9,steps:9,word:10,work:2169,nodes:38,pairs:24,completionMax:138us [11m11s] 17904 ab:aaba=1,babba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17904 ab:aaba=1,babba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17905 solved: rounds:4,rules:2,peak:8,longest:7,steps:13,word:2,work:3291,nodes:28,pairs:29,completionMax:147us [11m11s] 17905 ab:aaba=1,babba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17905 ab:aaba=1,babba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17906 solved: rounds:3,rules:2,peak:8,longest:8,steps:16,word:3,work:659,nodes:26,pairs:28,completionMax:85us [11m11s] 17906 ab:aaba=1,babba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17906 ab:aaba=1,babba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17907 solved: rounds:3,rules:2,peak:11,longest:5,steps:7,word:0,work:1191,nodes:32,pairs:28,completionMax:79us [11m11s] 17907 ab:aaba=1,babba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17907 ab:aaba=1,babba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17908 solved: rounds:4,rules:2,peak:8,longest:13,steps:15,word:18,work:2353,nodes:36,pairs:34,completionMax:147us [11m11s] 17908 ab:aaba=1,babbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17908 ab:aaba=1,babbb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17909 solved: rounds:5,rules:2,peak:6,longest:12,steps:15,word:10,work:1994,nodes:32,pairs:32,completionMax:113us [11m11s] 17909 ab:aaba=1,babbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17909 ab:aaba=1,babbb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17910 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1327,nodes:48,pairs:30,completionMax:138us [11m11s] 17910 ab:aaba=1,babbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17910 ab:aaba=1,babbb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17911 solved: rounds:5,rules:2,peak:8,longest:6,steps:5,word:1,work:1421,nodes:24,pairs:42,completionMax:107us [11m11s] 17911 ab:aaba=1,babbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17911 ab:aaba=1,babbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17912 solved: rounds:3,rules:2,peak:7,longest:8,steps:8,word:2,work:427,nodes:24,pairs:21,completionMax:52us [11m11s] 17912 ab:aaba=1,bbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17912 ab:aaba=1,bbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17913 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:417,nodes:20,pairs:17,completionMax:48us [11m11s] 17913 ab:aaba=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17913 ab:aaba=1,bbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17914 solved: rounds:3,rules:2,peak:8,longest:5,steps:5,word:0,work:481,nodes:22,pairs:20,completionMax:58us [11m11s] 17914 ab:aaba=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17914 ab:aaba=1,bbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17915 solved: rounds:4,rules:2,peak:7,longest:5,steps:6,word:0,work:687,nodes:20,pairs:20,completionMax:65us [11m11s] 17915 ab:aaba=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 17915 ab:aaba=1,bbaaa=bb finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m11s] # 17916 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:10,work:291,nodes:20,pairs:16,completionMax:45us [11m11s] 17916 ab:aaba=1,bbaab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17916 ab:aaba=1,bbaab=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17917 solved: rounds:3,rules:2,peak:9,longest:7,steps:5,word:2,work:802,nodes:28,pairs:32,completionMax:79us [11m11s] 17917 ab:aaba=1,bbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17917 ab:aaba=1,bbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17918 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:2,work:1014,nodes:28,pairs:22,completionMax:102us [11m11s] 17918 ab:aaba=1,bbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17918 ab:aaba=1,bbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17919 solved: rounds:5,rules:2,peak:6,longest:5,steps:3,word:0,work:376,nodes:18,pairs:23,completionMax:60us [11m11s] 17919 ab:aaba=1,bbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17919 ab:aaba=1,bbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17920 solved: rounds:4,rules:2,peak:5,longest:9,steps:5,word:5,work:405,nodes:18,pairs:23,completionMax:62us [11m11s] 17920 ab:aaba=1,bbaba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17920 ab:aaba=1,bbaba=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17921 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:2,work:418,nodes:20,pairs:26,completionMax:58us [11m11s] 17921 ab:aaba=1,bbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17921 ab:aaba=1,bbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17922 solved: rounds:5,rules:2,peak:7,longest:6,steps:6,word:1,work:625,nodes:24,pairs:19,completionMax:75us [11m11s] 17922 ab:aaba=1,bbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17922 ab:aaba=1,bbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17923 solved: rounds:3,rules:2,peak:8,longest:5,steps:6,word:0,work:427,nodes:18,pairs:17,completionMax:51us [11m11s] 17923 ab:aaba=1,bbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17923 ab:aaba=1,bbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17924 solved: rounds:3,rules:2,peak:10,longest:13,steps:13,word:18,work:3304,nodes:48,pairs:31,completionMax:203us [11m11s] 17924 ab:aaba=1,bbabb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17924 ab:aaba=1,bbabb=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17925 solved: rounds:3,rules:2,peak:11,longest:15,steps:73,word:15,work:16320,nodes:44,pairs:89,completionMax:429us [11m11s] 17925 ab:aaba=1,bbabb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17925 ab:aaba=1,bbabb=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17926 solved: rounds:3,rules:2,peak:10,longest:13,steps:24,word:15,work:4689,nodes:40,pairs:38,completionMax:186us [11m11s] 17926 ab:aaba=1,bbabb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17926 ab:aaba=1,bbabb=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17927 solved: rounds:6,rules:2,peak:7,longest:7,steps:6,word:2,work:879,nodes:28,pairs:25,completionMax:90us [11m11s] 17927 ab:aaba=1,bbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17927 ab:aaba=1,bbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17928 solved: rounds:4,rules:2,peak:8,longest:19,steps:23,word:15,work:1332,nodes:48,pairs:31,completionMax:104us [11m11s] 17928 ab:aaba=1,bbbaa=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17928 ab:aaba=1,bbbaa=aa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17929 solved: rounds:4,rules:2,peak:9,longest:11,steps:16,word:3,work:3750,nodes:46,pairs:44,completionMax:211us [11m11s] 17929 ab:aaba=1,bbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17929 ab:aaba=1,bbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17930 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:2,work:749,nodes:22,pairs:47,completionMax:101us [11m11s] 17930 ab:aaba=1,bbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17930 ab:aaba=1,bbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17931 solved: rounds:5,rules:2,peak:6,longest:5,steps:4,word:0,work:546,nodes:22,pairs:27,completionMax:65us [11m11s] 17931 ab:aaba=1,bbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 17931 ab:aaba=1,bbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 17932 solved: rounds:6,rules:2,peak:11,longest:13,steps:9,word:9,work:3900,nodes:54,pairs:69,completionMax:332us [11m11s] 17932 ab:aaba=1,bbbab=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17932 ab:aaba=1,bbbab=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17933 solved: rounds:6,rules:2,peak:7,longest:9,steps:6,word:5,work:693,nodes:28,pairs:30,completionMax:72us [11m11s] 17933 ab:aaba=1,bbbab=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17933 ab:aaba=1,bbbab=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17934 solved: rounds:3,rules:2,peak:10,longest:15,steps:7,word:10,work:3808,nodes:52,pairs:43,completionMax:194us [11m11s] 17934 ab:aaba=1,bbbab=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17934 ab:aaba=1,bbbab=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17935 solved: rounds:6,rules:2,peak:7,longest:7,steps:12,word:2,work:1231,nodes:28,pairs:18,completionMax:92us [11m11s] 17935 ab:aaba=1,bbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17935 ab:aaba=1,bbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17936 solved: rounds:6,rules:2,peak:4,longest:13,steps:8,word:9,work:635,nodes:26,pairs:18,completionMax:54us [11m11s] 17936 ab:aaba=1,bbbba=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17936 ab:aaba=1,bbbba=aa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17937 solved: rounds:5,rules:2,peak:11,longest:12,steps:10,word:10,work:3458,nodes:34,pairs:57,completionMax:235us [11m11s] 17937 ab:aaba=1,bbbba=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17937 ab:aaba=1,bbbba=ab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17938 solved: rounds:6,rules:2,peak:7,longest:9,steps:5,word:5,work:545,nodes:24,pairs:25,completionMax:88us [11m11s] 17938 ab:aaba=1,bbbba=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17938 ab:aaba=1,bbbba=ba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17939 solved: rounds:6,rules:2,peak:8,longest:7,steps:14,word:2,work:3660,nodes:26,pairs:39,completionMax:178us [11m11s] 17939 ab:aaba=1,bbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a/b - - ab:aaaaa=1,b=aa [11m11s] from: 17939 ab:aaba=1,bbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbb,b=b [11m11s] # 17940 solved: rounds:7,rules:2,peak:5,longest:17,steps:10,word:13,work:1413,nodes:34,pairs:19,completionMax:104us [11m11s] 17940 ab:aaba=1,bbbbb=aa finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [11m11s] from: 17940 ab:aaba=1,bbbbb=aa finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b11;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbbbbbbb,b=b [11m11s] # 17941 solved: rounds:8,rules:2,peak:7,longest:13,steps:8,word:9,work:1378,nodes:26,pairs:42,completionMax:175us [11m11s] 17941 ab:aaba=1,bbbbb=ab finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17941 ab:aaba=1,bbbbb=ab finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17942 solved: rounds:8,rules:2,peak:6,longest:13,steps:8,word:9,work:972,nodes:26,pairs:27,completionMax:98us [11m11s] 17942 ab:aaba=1,bbbbb=ba finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 17942 ab:aaba=1,bbbbb=ba finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b4;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbb,b=b [11m11s] # 17943 solved: rounds:7,rules:2,peak:7,longest:9,steps:6,word:5,work:765,nodes:28,pairs:18,completionMax:94us [11m11s] 17943 ab:aaba=1,bbbbb=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa a/b - - ab:aaaaaaaaa=1,b=aaaaaa [11m11s] from: 17943 ab:aaba=1,bbbbb=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a6;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaaaaa [11m11s] # 17944 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:2,work:107,nodes:12,pairs:9,completionMax:23us [11m11s] 17944 ab:aabb=1,aaaaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17944 ab:aabb=1,aaaaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17945 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:3,work:17,nodes:20,pairs:2,completionMax:16us [11m11s] 17945 ab:aabb=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17945 ab:aabb=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17946 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:6,work:128,nodes:26,pairs:5,completionMax:37us [11m11s] 17946 ab:aabb=1,aaaaa=ba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17946 ab:aabb=1,aaaaa=ba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17947 solved: rounds:3,rules:2,peak:5,longest:21,steps:12,word:15,work:1347,nodes:48,pairs:15,completionMax:114us [11m11s] 17947 ab:aabb=1,aaaaa=bb finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 17947 ab:aabb=1,aaaaa=bb finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbb,b=b [11m11s] # 17948 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:12,pairs:5,completionMax:10us [11m11s] 17948 ab:aabb=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17948 ab:aabb=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17949 solved: rounds:3,rules:2,peak:5,longest:9,steps:4,word:3,work:280,nodes:26,pairs:14,completionMax:43us [11m11s] 17949 ab:aabb=1,aaaab=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17949 ab:aabb=1,aaaab=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17950 solved: rounds:4,rules:2,peak:7,longest:7,steps:13,word:3,work:695,nodes:22,pairs:31,completionMax:72us [11m11s] 17950 ab:aabb=1,aaaab=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17950 ab:aabb=1,aaaab=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17951 solved: rounds:2,rules:2,peak:4,longest:10,steps:1,word:3,work:107,nodes:24,pairs:8,completionMax:27us [11m11s] 17951 ab:aabb=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17951 ab:aabb=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17952 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:32,nodes:12,pairs:5,completionMax:13us [11m11s] 17952 ab:aabb=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17952 ab:aabb=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17953 solved: rounds:4,rules:2,peak:18,longest:9,steps:14,word:3,work:8642,nodes:60,pairs:115,completionMax:644us [11m11s] 17953 ab:aabb=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17953 ab:aabb=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17954 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:2,work:212,nodes:22,pairs:8,completionMax:33us [11m11s] 17954 ab:aabb=1,aaaba=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17954 ab:aabb=1,aaaba=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17955 solved: rounds:3,rules:2,peak:10,longest:10,steps:8,word:6,work:2349,nodes:46,pairs:51,completionMax:202us [11m11s] 17955 ab:aabb=1,aaaba=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17955 ab:aabb=1,aaaba=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17956 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:4,completionMax:10us [11m11s] 17956 ab:aabb=1,aaabb=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17956 ab:aabb=1,aaabb=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17957 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:2,completionMax:5us [11m11s] 17957 ab:aabb=1,aaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17957 ab:aabb=1,aaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17958 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:49,nodes:10,pairs:5,completionMax:16us [11m11s] 17958 ab:aabb=1,aaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17958 ab:aabb=1,aaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17959 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:15,nodes:12,pairs:2,completionMax:7us [11m11s] 17959 ab:aabb=1,aaabb=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17959 ab:aabb=1,aaabb=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17960 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:46,nodes:10,pairs:4,completionMax:13us [11m11s] 17960 ab:aabb=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17960 ab:aabb=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17961 solved: rounds:3,rules:2,peak:11,longest:9,steps:8,word:9,work:3597,nodes:36,pairs:48,completionMax:232us [11m11s] 17961 ab:aabb=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17961 ab:aabb=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17962 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:696,nodes:26,pairs:37,completionMax:74us [11m11s] 17962 ab:aabb=1,aabaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17962 ab:aabb=1,aabaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17963 solved: rounds:4,rules:2,peak:9,longest:10,steps:5,word:3,work:1557,nodes:52,pairs:26,completionMax:98us [11m11s] 17963 ab:aabb=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17963 ab:aabb=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17964 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [11m11s] 17964 ab:aabb=1,aabab=aa infinite ab - - ab:aabb=1,aabab=aa [11m11s] # 17965 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:2us [11m11s] 17965 ab:aabb=1,aabab=ab infinite ab - - ab:aabb=1,aabab=ab [11m11s] # 17966 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:2us [11m11s] 17966 ab:aabb=1,aabab=ba infinite ab - - ab:aabb=1,aabab=ba [11m11s] # 17967 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:10,pairs:0,completionMax:1us [11m11s] 17967 ab:aabb=1,aabab=bb infinite ab - - ab:aabb=1,aabab=bb [11m11s] # 17968 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:19,nodes:8,pairs:4,completionMax:12us [11m11s] 17968 ab:aabb=1,aabba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17968 ab:aabb=1,aabba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17969 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:6us [11m11s] 17969 ab:aabb=1,aabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17969 ab:aabb=1,aabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17970 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:48,nodes:10,pairs:5,completionMax:13us [11m11s] 17970 ab:aabb=1,aabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17970 ab:aabb=1,aabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17971 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:14,nodes:12,pairs:2,completionMax:7us [11m11s] 17971 ab:aabb=1,aabba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17971 ab:aabb=1,aabba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17972 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:104,nodes:14,pairs:12,completionMax:25us [11m11s] 17972 ab:aabb=1,abaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17972 ab:aabb=1,abaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17973 solved: rounds:4,rules:2,peak:7,longest:8,steps:3,word:2,work:773,nodes:32,pairs:37,completionMax:113us [11m11s] 17973 ab:aabb=1,abaaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17973 ab:aabb=1,abaaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17974 solved: rounds:2,rules:2,peak:7,longest:6,steps:6,word:2,work:405,nodes:26,pairs:11,completionMax:53us [11m11s] 17974 ab:aabb=1,abaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17974 ab:aabb=1,abaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17975 solved: rounds:3,rules:2,peak:9,longest:18,steps:15,word:23,work:4629,nodes:80,pairs:53,completionMax:229us [11m11s] 17975 ab:aabb=1,abaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17975 ab:aabb=1,abaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17976 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:358,nodes:16,pairs:24,completionMax:67us [11m11s] 17976 ab:aabb=1,abaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17976 ab:aabb=1,abaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17977 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:33,nodes:14,pairs:4,completionMax:18us [11m11s] 17977 ab:aabb=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17977 ab:aabb=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17978 solved: rounds:2,rules:2,peak:10,longest:5,steps:5,word:0,work:433,nodes:26,pairs:13,completionMax:71us [11m11s] 17978 ab:aabb=1,abaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17978 ab:aabb=1,abaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17979 solved: rounds:3,rules:2,peak:3,longest:6,steps:2,word:2,work:54,nodes:14,pairs:6,completionMax:20us [11m11s] 17979 ab:aabb=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17979 ab:aabb=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17980 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:278,nodes:14,pairs:16,completionMax:47us [11m11s] 17980 ab:aabb=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17980 ab:aabb=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17981 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:288,nodes:16,pairs:18,completionMax:33us [11m11s] 17981 ab:aabb=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17981 ab:aabb=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17982 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:330,nodes:20,pairs:24,completionMax:61us [11m11s] 17982 ab:aabb=1,ababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17982 ab:aabb=1,ababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17983 solved: rounds:3,rules:2,peak:6,longest:9,steps:8,word:1,work:947,nodes:30,pairs:22,completionMax:91us [11m11s] 17983 ab:aabb=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17983 ab:aabb=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17984 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:106,nodes:14,pairs:10,completionMax:19us [11m11s] 17984 ab:aabb=1,abbaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17984 ab:aabb=1,abbaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17985 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:212,nodes:18,pairs:16,completionMax:28us [11m11s] 17985 ab:aabb=1,abbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17985 ab:aabb=1,abbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17986 solved: rounds:2,rules:2,peak:8,longest:5,steps:5,word:0,work:269,nodes:20,pairs:17,completionMax:38us [11m11s] 17986 ab:aabb=1,abbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17986 ab:aabb=1,abbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17987 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:297,nodes:22,pairs:16,completionMax:53us [11m11s] 17987 ab:aabb=1,abbaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17987 ab:aabb=1,abbaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17988 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:2,work:203,nodes:22,pairs:13,completionMax:51us [11m11s] 17988 ab:aabb=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 17988 ab:aabb=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 17989 solved: rounds:2,rules:2,peak:11,longest:6,steps:4,word:0,work:532,nodes:26,pairs:17,completionMax:63us [11m11s] 17989 ab:aabb=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17989 ab:aabb=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17990 solved: rounds:4,rules:2,peak:4,longest:5,steps:1,word:0,work:70,nodes:14,pairs:11,completionMax:18us [11m11s] 17990 ab:aabb=1,abbba=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17990 ab:aabb=1,abbba=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17991 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:450,nodes:22,pairs:23,completionMax:56us [11m11s] 17991 ab:aabb=1,abbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17991 ab:aabb=1,abbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17992 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:129,nodes:18,pairs:12,completionMax:25us [11m11s] 17992 ab:aabb=1,baaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17992 ab:aabb=1,baaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17993 solved: rounds:3,rules:2,peak:15,longest:14,steps:16,word:5,work:4072,nodes:68,pairs:138,completionMax:341us [11m11s] 17993 ab:aabb=1,baaaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17993 ab:aabb=1,baaaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17994 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:2,work:543,nodes:34,pairs:23,completionMax:61us [11m11s] 17994 ab:aabb=1,baaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17994 ab:aabb=1,baaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 17995 solved: rounds:1,rules:2,peak:3,longest:10,steps:3,word:6,work:47,nodes:22,pairs:3,completionMax:12us [11m11s] 17995 ab:aabb=1,baaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 17995 ab:aabb=1,baaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 17996 solved: rounds:3,rules:2,peak:8,longest:5,steps:7,word:0,work:836,nodes:20,pairs:30,completionMax:56us [11m11s] 17996 ab:aabb=1,baaba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 17996 ab:aabb=1,baaba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 17997 solved: rounds:3,rules:2,peak:15,longest:7,steps:6,word:0,work:4134,nodes:46,pairs:194,completionMax:468us [11m11s] 17997 ab:aabb=1,baaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17997 ab:aabb=1,baaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17998 solved: rounds:4,rules:2,peak:5,longest:5,steps:1,word:0,work:119,nodes:16,pairs:8,completionMax:31us [11m11s] 17998 ab:aabb=1,baaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 17998 ab:aabb=1,baaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 17999 solved: rounds:3,rules:2,peak:12,longest:11,steps:9,word:2,work:1596,nodes:44,pairs:73,completionMax:262us [11m11s] 17999 ab:aabb=1,baaba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 17999 ab:aabb=1,baaba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18000 solved: rounds:3,rules:2,peak:6,longest:5,steps:8,word:0,work:674,nodes:18,pairs:17,completionMax:45us [11m11s] 18000 ab:aabb=1,babaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18000 ab:aabb=1,babaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18001 solved: rounds:3,rules:2,peak:15,longest:8,steps:10,word:0,work:4323,nodes:44,pairs:158,completionMax:422us [11m11s] 18001 ab:aabb=1,babaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18001 ab:aabb=1,babaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18002 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:496,nodes:20,pairs:33,completionMax:66us [11m11s] 18002 ab:aabb=1,babaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18002 ab:aabb=1,babaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18003 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:2,work:550,nodes:28,pairs:21,completionMax:77us [11m11s] 18003 ab:aabb=1,babaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18003 ab:aabb=1,babaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18004 solved: rounds:3,rules:2,peak:8,longest:5,steps:6,word:0,work:514,nodes:20,pairs:30,completionMax:55us [11m11s] 18004 ab:aabb=1,bbaaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18004 ab:aabb=1,bbaaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18005 solved: rounds:3,rules:2,peak:19,longest:5,steps:7,word:0,work:2237,nodes:30,pairs:31,completionMax:200us [11m11s] 18005 ab:aabb=1,bbaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18005 ab:aabb=1,bbaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18006 solved: rounds:3,rules:2,peak:15,longest:5,steps:3,word:0,work:1246,nodes:26,pairs:106,completionMax:201us [11m11s] 18006 ab:aabb=1,bbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18006 ab:aabb=1,bbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18007 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:2,work:263,nodes:22,pairs:16,completionMax:37us [11m11s] 18007 ab:aabb=1,bbaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18007 ab:aabb=1,bbaaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18008 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:99,nodes:14,pairs:3,completionMax:18us [11m11s] 18008 ab:abab=1,aaaaa=aa infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18008 ab:abab=1,aaaaa=aa infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18009 solved: rounds:2,rules:2,peak:3,longest:10,steps:1,word:3,work:33,nodes:20,pairs:3,completionMax:12us [11m11s] 18009 ab:abab=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18009 ab:abab=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18010 solved: rounds:1,rules:2,peak:4,longest:11,steps:1,word:3,work:120,nodes:24,pairs:3,completionMax:34us [11m11s] 18010 ab:abab=1,aaaaa=ba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18010 ab:abab=1,aaaaa=ba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18011 solved: rounds:5,rules:3,peak:9,longest:35,steps:63,word:318,work:10947,nodes:72,pairs:48,completionMax:447us [11m11s] 18011 ab:abab=1,aaaaa=bb finite:70;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa=1,ab=baaaaaaaaaaaaaaaaaaaaaaaaaaaaa,bb=aaaaa [11m11s] # 18012 solved: rounds:5,rules:2,peak:5,longest:5,steps:2,word:0,work:169,nodes:14,pairs:15,completionMax:29us [11m11s] 18012 ab:abab=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18012 ab:abab=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18013 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:14,pairs:2,completionMax:10us [11m11s] 18013 ab:abab=1,aaaab=ab infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18013 ab:abab=1,aaaab=ab infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18014 solved: rounds:5,rules:3,peak:8,longest:17,steps:21,word:15,work:5778,nodes:90,pairs:31,completionMax:306us [11m11s] 18014 ab:abab=1,aaaab=ba finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [11m11s] from: 18014 ab:abab=1,aaaab=ba finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [11m11s] # 18015 solved: rounds:3,rules:2,peak:8,longest:15,steps:3,word:6,work:1258,nodes:52,pairs:28,completionMax:109us [11m11s] 18015 ab:abab=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18015 ab:abab=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18016 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:130,nodes:14,pairs:13,completionMax:35us [11m11s] 18016 ab:abab=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18016 ab:abab=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18017 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:2,work:189,nodes:18,pairs:8,completionMax:30us [11m11s] 18017 ab:abab=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18017 ab:abab=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18018 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:56,nodes:18,pairs:8,completionMax:15us [11m11s] 18018 ab:abab=1,aaaba=ba infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18018 ab:abab=1,aaaba=ba infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18019 solved: rounds:4,rules:3,peak:6,longest:15,steps:25,word:31,work:1078,nodes:32,pairs:24,completionMax:111us [11m11s] 18019 ab:abab=1,aaaba=bb finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbb [11m11s] from: 18019 ab:abab=1,aaaba=bb finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=b,b=a [11m11s] # 18020 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [11m11s] 18020 ab:abab=1,aaabb=aa infinite ab - - ab:abab=1,aaabb=aa [11m11s] # 18021 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:1us [11m11s] 18021 ab:abab=1,aaabb=ab infinite ab - - ab:abab=1,aaabb=ab [11m11s] from: 18021 ab:abab=1,aaabb=ab infinite to: 16965 ab:abab=1,aaabbab=1 infinite a=a,b=b [11m11s] # 18022 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:3us [11m11s] 18022 ab:abab=1,aaabb=ba infinite ab - - ab:abab=1,aaabb=ba [11m11s] # 18023 solved: rounds:0,rules:2,peak:2,longest:5,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:2us [11m11s] 18023 ab:abab=1,aaabb=bb infinite ab - - ab:abab=1,aaabb=bb [11m11s] # 18024 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:98,nodes:14,pairs:9,completionMax:29us [11m11s] 18024 ab:abab=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18024 ab:abab=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18025 solved: rounds:4,rules:2,peak:9,longest:6,steps:7,word:1,work:1087,nodes:24,pairs:33,completionMax:118us [11m11s] 18025 ab:abab=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18025 ab:abab=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18026 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:2,work:449,nodes:24,pairs:16,completionMax:62us [11m11s] 18026 ab:abab=1,aabaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18026 ab:abab=1,aabaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18027 solved: rounds:4,rules:2,peak:15,longest:14,steps:29,word:6,work:19355,nodes:80,pairs:144,completionMax:978us [11m11s] 18027 ab:abab=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18027 ab:abab=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18028 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:21,nodes:8,pairs:3,completionMax:10us [11m11s] 18028 ab:abab=1,aabab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18028 ab:abab=1,aabab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18029 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:18,nodes:8,pairs:3,completionMax:9us [11m11s] 18029 ab:abab=1,aabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18029 ab:abab=1,aabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18030 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:37,nodes:10,pairs:3,completionMax:13us [11m11s] 18030 ab:abab=1,aabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18030 ab:abab=1,aabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18031 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:18,nodes:12,pairs:2,completionMax:8us [11m11s] 18031 ab:abab=1,aabab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18031 ab:abab=1,aabab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18032 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:25,nodes:14,pairs:1,completionMax:11us [11m11s] 18032 ab:abab=1,aabba=aa infinite ab - - ab:aabb=a,abab=1 [11m11s] from: 18032 ab:abab=1,aabba=aa infinite to: 1387 ab:aabb=a,abab=1 infinite a=a,b=b [11m11s] # 18033 solved: rounds:3,rules:3,peak:4,longest:5,steps:5,word:2,work:159,nodes:16,pairs:11,completionMax:25us [11m11s] 18033 ab:abab=1,aabba=ab finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 18033 ab:abab=1,aabba=ab finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 18034 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:14,pairs:2,completionMax:5us [11m11s] 18034 ab:abab=1,aabba=ba infinite ab - - ab:aabb=b,abab=1 [11m11s] # 18035 solved: rounds:5,rules:7,peak:38,longest:15,steps:12,word:14,work:128863,nodes:206,pairs:1378,completionMax:19835us [11m11s] 18035 ab:abab=1,aabba=bb finite:54;group:a-aaaaaaaa,b-aba a/b - - ab:aaaaaaaaa=1,aaab=baaaaaa,bab=aaaaaaaa,abb=bbaaaa,abaab=baabaaaaaaa,bbb=aabaaaaaaaa,bbaab=abaa [11m11s] from: 18035 ab:abab=1,aabba=bb finite:54;group:a-aaaaaaaa,b-aba to: 10757 ab:aaab=bba,abab=1 finite:54;group:a-bab,b-bbbbbbbb a=b,b=a [11m11s] # 18036 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:174,nodes:12,pairs:17,completionMax:53us [11m11s] 18036 ab:abab=1,abaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18036 ab:abab=1,abaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18037 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:119,nodes:18,pairs:7,completionMax:22us [11m11s] 18037 ab:abab=1,abaaa=ab infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18037 ab:abab=1,abaaa=ab infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18038 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:2,work:805,nodes:22,pairs:31,completionMax:106us [11m11s] 18038 ab:abab=1,abaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18038 ab:abab=1,abaaa=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18039 solved: rounds:4,rules:3,peak:18,longest:15,steps:6,word:20,work:8478,nodes:58,pairs:127,completionMax:660us [11m11s] 18039 ab:abab=1,abaaa=bb finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=bbb [11m11s] from: 18039 ab:abab=1,abaaa=bb finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=b,b=a [11m11s] # 18040 solved: rounds:4,rules:3,peak:5,longest:6,steps:4,word:2,work:328,nodes:16,pairs:17,completionMax:42us [11m11s] 18040 ab:abab=1,abaab=aa finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 18040 ab:abab=1,abaab=aa finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 18041 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:51,nodes:12,pairs:9,completionMax:19us [11m11s] 18041 ab:abab=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18041 ab:abab=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18042 solved: rounds:3,rules:3,peak:12,longest:5,steps:5,word:2,work:1813,nodes:26,pairs:50,completionMax:220us [11m11s] 18042 ab:abab=1,abaab=ba finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 18042 ab:abab=1,abaab=ba finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 18043 solved: rounds:4,rules:2,peak:6,longest:6,steps:6,word:2,work:873,nodes:26,pairs:23,completionMax:69us [11m11s] 18043 ab:abab=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18043 ab:abab=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18044 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:20,nodes:8,pairs:3,completionMax:7us [11m11s] 18044 ab:abab=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18044 ab:abab=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18045 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:17,nodes:8,pairs:3,completionMax:8us [11m11s] 18045 ab:abab=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18045 ab:abab=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18046 solved: rounds:1,rules:2,peak:4,longest:4,steps:1,word:0,work:36,nodes:10,pairs:3,completionMax:11us [11m11s] 18046 ab:abab=1,ababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18046 ab:abab=1,ababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18047 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:17,nodes:12,pairs:2,completionMax:8us [11m11s] 18047 ab:abab=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18047 ab:abab=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18048 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:362,nodes:16,pairs:18,completionMax:55us [11m11s] 18048 ab:abab=1,abbaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18048 ab:abab=1,abbaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18049 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:405,nodes:18,pairs:28,completionMax:62us [11m11s] 18049 ab:abab=1,abbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18049 ab:abab=1,abbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18050 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:3,work:301,nodes:18,pairs:24,completionMax:47us [11m11s] 18050 ab:abab=1,abbaa=ba finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 18050 ab:abab=1,abbaa=ba finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 18051 solved: rounds:4,rules:7,peak:28,longest:14,steps:13,word:14,work:41219,nodes:170,pairs:420,completionMax:2823us [11m11s] 18051 ab:abab=1,abbaa=bb finite:54;group:a-aaaaaaaa,b-aba a/b - - ab:aaaaaaaaa=1,aaab=baaaaaa,bab=aaaaaaaa,abb=bbaaaaaaa,abaab=baabaaaa,bbb=aabaaaaa,bbaab=abaaaaa [11m11s] from: 18051 ab:abab=1,abbaa=bb finite:54;group:a-aaaaaaaa,b-aba to: 17520 ab:abab=1,abbaaa=b finite:54;group:a-bab,b-bbbbbbbb a=b,b=a [11m11s] # 18052 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:173,nodes:18,pairs:11,completionMax:33us [11m11s] 18052 ab:abab=1,abbba=aa infinite;group:a-bab,b-bb ab - - ab:aba=bb,bbb=1 [11m11s] from: 18052 ab:abab=1,abbba=aa infinite;group:a-bab,b-bb to: 445 ab:aba=bb,bbb=1 infinite;group:a-bab,b-bb a=a,b=b [11m11s] # 18053 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:127,nodes:16,pairs:17,completionMax:44us [11m11s] 18053 ab:abab=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18053 ab:abab=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18054 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:172,nodes:14,pairs:14,completionMax:30us [11m11s] 18054 ab:abab=1,abbba=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18054 ab:abab=1,abbba=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18055 solved: rounds:4,rules:3,peak:7,longest:8,steps:8,word:6,work:1166,nodes:34,pairs:20,completionMax:101us [11m11s] 18055 ab:abab=1,abbba=bb finite:10;group:a-a,b-bbbb b/a - - ab:bbbbb=1,ba=abbbb,aa=1 [11m11s] from: 18055 ab:abab=1,abbba=bb finite:10;group:a-a,b-bbbb to: 10729 ab:aaab=baa,abab=1 finite:10;group:a-aaaa,b-b a=b,b=a [11m11s] # 18056 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:194,nodes:20,pairs:20,completionMax:34us [11m11s] 18056 ab:abab=1,baaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18056 ab:abab=1,baaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18057 solved: rounds:3,rules:3,peak:5,longest:22,steps:20,word:57,work:1755,nodes:102,pairs:25,completionMax:141us [11m11s] 18057 ab:abab=1,baaaa=ab finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,ab=baaaa,bb=aaaaaaaaaa [11m11s] from: 18057 ab:abab=1,baaaa=ab finite:30;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaa to: 11058 ab:abba=bbb,baba=1 finite:30;center:1,bbbbb,bbbbbbbbbb;group:a-abbbbb,b-bbbbbbbbbbbbbb a=b,b=a [11m11s] # 18058 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:135,nodes:22,pairs:7,completionMax:23us [11m11s] 18058 ab:abab=1,baaaa=ba infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18058 ab:abab=1,baaaa=ba infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18059 solved: rounds:2,rules:2,peak:3,longest:10,steps:2,word:6,work:43,nodes:20,pairs:4,completionMax:14us [11m11s] 18059 ab:abab=1,baaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18059 ab:abab=1,baaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18060 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:1,work:659,nodes:22,pairs:28,completionMax:77us [11m11s] 18060 ab:abab=1,baaba=aa finite:6;group:a-aa,b-b a/b - - ab:aaa=1,ab=baa,bb=1 [11m11s] from: 18060 ab:abab=1,baaba=aa finite:6;group:a-aa,b-b to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=b,b=a [11m11s] # 18061 solved: rounds:2,rules:3,peak:5,longest:5,steps:6,word:2,work:311,nodes:24,pairs:11,completionMax:34us [11m11s] 18061 ab:abab=1,baaba=ab finite:6;group:a-a,b-bb b/a - - ab:bbb=1,ba=abb,aa=1 [11m11s] from: 18061 ab:abab=1,baaba=ab finite:6;group:a-a,b-bb to: 1427 ab:abba=b,baba=1 finite:6;group:a-a,b-bb a=a,b=b [11m11s] # 18062 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:196,nodes:20,pairs:11,completionMax:47us [11m11s] 18062 ab:abab=1,baaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18062 ab:abab=1,baaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18063 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:3,work:258,nodes:22,pairs:10,completionMax:38us [11m11s] 18063 ab:abab=1,baaba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18063 ab:abab=1,baaba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18064 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:174,nodes:18,pairs:13,completionMax:50us [11m11s] 18064 ab:abab=1,babaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18064 ab:abab=1,babaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18065 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:387,nodes:22,pairs:27,completionMax:89us [11m11s] 18065 ab:abab=1,babaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18065 ab:abab=1,babaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18066 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:188,nodes:18,pairs:10,completionMax:30us [11m11s] 18066 ab:abab=1,babaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18066 ab:abab=1,babaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18067 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:2,work:569,nodes:32,pairs:21,completionMax:98us [11m11s] 18067 ab:abab=1,babaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18067 ab:abab=1,babaa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18068 solved: rounds:4,rules:2,peak:7,longest:5,steps:4,word:0,work:576,nodes:18,pairs:29,completionMax:98us [11m11s] 18068 ab:abab=1,bbaaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18068 ab:abab=1,bbaaa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18069 solved: rounds:4,rules:6,peak:24,longest:15,steps:10,word:9,work:19811,nodes:120,pairs:147,completionMax:1228us [11m11s] 18069 ab:abab=1,bbaaa=ab finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a/b - - ab:aaaaaaaa=1,aaaab=baaaa,bb=abaaaaa,bab=aaaaaaa,baab=aaabaaaaaaa,abaaab=baaabaaa [11m11s] from: 18069 ab:abab=1,bbaaa=ab finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba to: 16966 ab:abab=1,aaabbba=1 finite:48;center:1,aaaa;group:a-aaaaaaa,b-aba a=a,b=b [11m11s] # 18070 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:173,nodes:20,pairs:20,completionMax:55us [11m11s] 18070 ab:abab=1,bbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18070 ab:abab=1,bbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18071 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:156,nodes:24,pairs:8,completionMax:38us [11m11s] 18071 ab:abab=1,bbaaa=bb infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 18071 ab:abab=1,bbaaa=bb infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 18072 solved: rounds:4,rules:2,peak:4,longest:6,steps:8,word:2,work:382,nodes:18,pairs:11,completionMax:49us [11m11s] 18072 ab:abba=1,aaaaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18072 ab:abba=1,aaaaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18073 solved: rounds:1,rules:2,peak:3,longest:10,steps:2,word:6,work:49,nodes:20,pairs:3,completionMax:15us [11m11s] 18073 ab:abba=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18073 ab:abba=1,aaaaa=ab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18074 solved: rounds:3,rules:2,peak:6,longest:14,steps:18,word:10,work:2474,nodes:68,pairs:22,completionMax:147us [11m11s] 18074 ab:abba=1,aaaaa=bb finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18074 ab:abba=1,aaaaa=bb finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b6;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbb,b=b [11m11s] # 18075 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:299,nodes:20,pairs:16,completionMax:49us [11m11s] 18075 ab:abba=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18075 ab:abba=1,aaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18076 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:2,work:140,nodes:18,pairs:9,completionMax:41us [11m11s] 18076 ab:abba=1,aaaab=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18076 ab:abba=1,aaaab=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18077 solved: rounds:4,rules:2,peak:8,longest:6,steps:10,word:2,work:1217,nodes:24,pairs:28,completionMax:124us [11m11s] 18077 ab:abba=1,aaaab=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18077 ab:abba=1,aaaab=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18078 solved: rounds:2,rules:2,peak:6,longest:10,steps:4,word:3,work:386,nodes:34,pairs:14,completionMax:65us [11m11s] 18078 ab:abba=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18078 ab:abba=1,aaaab=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18079 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:235,nodes:20,pairs:12,completionMax:37us [11m11s] 18079 ab:abba=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18079 ab:abba=1,aaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18080 solved: rounds:2,rules:2,peak:8,longest:6,steps:8,word:3,work:688,nodes:26,pairs:17,completionMax:77us [11m11s] 18080 ab:abba=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18080 ab:abba=1,aaaba=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18081 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:2,work:186,nodes:18,pairs:11,completionMax:32us [11m11s] 18081 ab:abba=1,aaaba=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18081 ab:abba=1,aaaba=ba finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18082 solved: rounds:4,rules:2,peak:9,longest:10,steps:6,word:3,work:1443,nodes:32,pairs:37,completionMax:132us [11m11s] 18082 ab:abba=1,aaaba=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18082 ab:abba=1,aaaba=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18083 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:229,nodes:20,pairs:19,completionMax:40us [11m11s] 18083 ab:abba=1,aaabb=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18083 ab:abba=1,aaabb=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18084 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:202,nodes:20,pairs:16,completionMax:32us [11m11s] 18084 ab:abba=1,aaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18084 ab:abba=1,aaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18085 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:421,nodes:24,pairs:25,completionMax:70us [11m11s] 18085 ab:abba=1,aaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18085 ab:abba=1,aaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18086 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:125,nodes:18,pairs:10,completionMax:29us [11m11s] 18086 ab:abba=1,aaabb=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18086 ab:abba=1,aaabb=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18087 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:0,work:338,nodes:20,pairs:23,completionMax:67us [11m11s] 18087 ab:abba=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18087 ab:abba=1,aabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18088 solved: rounds:2,rules:2,peak:10,longest:7,steps:8,word:3,work:1245,nodes:28,pairs:28,completionMax:96us [11m11s] 18088 ab:abba=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18088 ab:abba=1,aabaa=ab finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18089 solved: rounds:4,rules:2,peak:8,longest:10,steps:9,word:3,work:1803,nodes:36,pairs:29,completionMax:135us [11m11s] 18089 ab:abba=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaa=1,b=aaaa [11m11s] from: 18089 ab:abba=1,aabaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a4;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbbbbbb,b=bbbbbb [11m11s] # 18090 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:300,nodes:20,pairs:19,completionMax:72us [11m11s] 18090 ab:abba=1,aabab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18090 ab:abba=1,aabab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18091 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:134,nodes:20,pairs:15,completionMax:28us [11m11s] 18091 ab:abba=1,aabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18091 ab:abba=1,aabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18092 solved: rounds:2,rules:2,peak:11,longest:5,steps:5,word:0,work:637,nodes:26,pairs:22,completionMax:84us [11m11s] 18092 ab:abba=1,aabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18092 ab:abba=1,aabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18093 solved: rounds:2,rules:2,peak:9,longest:15,steps:3,word:7,work:1677,nodes:40,pairs:16,completionMax:89us [11m11s] 18093 ab:abba=1,aabab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18093 ab:abba=1,aabab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18094 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:5,completionMax:11us [11m11s] 18094 ab:abba=1,aabba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18094 ab:abba=1,aabba=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18095 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:22,nodes:8,pairs:3,completionMax:10us [11m11s] 18095 ab:abba=1,aabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18095 ab:abba=1,aabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18096 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:24,nodes:10,pairs:3,completionMax:7us [11m11s] 18096 ab:abba=1,aabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18096 ab:abba=1,aabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18097 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:1,work:21,nodes:12,pairs:2,completionMax:7us [11m11s] 18097 ab:abba=1,aabba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18097 ab:abba=1,aabba=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18098 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:3,work:208,nodes:20,pairs:12,completionMax:40us [11m11s] 18098 ab:abba=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18098 ab:abba=1,aabbb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18099 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:109,nodes:18,pairs:10,completionMax:27us [11m11s] 18099 ab:abba=1,aabbb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18099 ab:abba=1,aabbb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18100 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:657,nodes:26,pairs:37,completionMax:84us [11m11s] 18100 ab:abba=1,aabbb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18100 ab:abba=1,aabbb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18101 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:460,nodes:24,pairs:27,completionMax:71us [11m11s] 18101 ab:abba=1,aabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18101 ab:abba=1,aabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18102 solved: rounds:2,rules:2,peak:11,longest:5,steps:6,word:0,work:907,nodes:24,pairs:29,completionMax:113us [11m11s] 18102 ab:abba=1,abaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18102 ab:abba=1,abaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18103 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:209,nodes:20,pairs:22,completionMax:52us [11m11s] 18103 ab:abba=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18103 ab:abba=1,abaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18104 solved: rounds:2,rules:2,peak:12,longest:5,steps:5,word:0,work:960,nodes:26,pairs:33,completionMax:129us [11m11s] 18104 ab:abba=1,abaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18104 ab:abba=1,abaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18105 solved: rounds:2,rules:2,peak:9,longest:8,steps:7,word:2,work:1009,nodes:30,pairs:22,completionMax:85us [11m11s] 18105 ab:abba=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18105 ab:abba=1,abaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18106 solved: rounds:4,rules:2,peak:8,longest:5,steps:3,word:0,work:645,nodes:20,pairs:34,completionMax:92us [11m11s] 18106 ab:abba=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18106 ab:abba=1,ababa=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18107 solved: rounds:2,rules:2,peak:7,longest:5,steps:2,word:0,work:211,nodes:20,pairs:22,completionMax:44us [11m11s] 18107 ab:abba=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18107 ab:abba=1,ababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18108 solved: rounds:2,rules:2,peak:10,longest:8,steps:7,word:2,work:1734,nodes:34,pairs:25,completionMax:139us [11m11s] 18108 ab:abba=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18108 ab:abba=1,ababa=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18109 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:3,work:297,nodes:24,pairs:14,completionMax:44us [11m11s] 18109 ab:abba=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18109 ab:abba=1,ababb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18110 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:209,nodes:20,pairs:17,completionMax:39us [11m11s] 18110 ab:abba=1,ababb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18110 ab:abba=1,ababb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18111 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:276,nodes:20,pairs:19,completionMax:41us [11m11s] 18111 ab:abba=1,ababb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18111 ab:abba=1,ababb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18112 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:274,nodes:18,pairs:20,completionMax:49us [11m11s] 18112 ab:abba=1,ababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18112 ab:abba=1,ababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18113 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:2,work:26,nodes:12,pairs:2,completionMax:11us [11m11s] 18113 ab:abba=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18113 ab:abba=1,abbab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18114 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:8,pairs:6,completionMax:16us [11m11s] 18114 ab:abba=1,abbab=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18114 ab:abba=1,abbab=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18115 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:26,nodes:10,pairs:7,completionMax:15us [11m11s] 18115 ab:abba=1,abbab=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18115 ab:abba=1,abbab=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18116 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:10,pairs:4,completionMax:12us [11m11s] 18116 ab:abba=1,abbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18116 ab:abba=1,abbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18117 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:3,work:310,nodes:22,pairs:14,completionMax:49us [11m11s] 18117 ab:abba=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18117 ab:abba=1,abbba=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18118 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:161,nodes:18,pairs:23,completionMax:38us [11m11s] 18118 ab:abba=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18118 ab:abba=1,abbba=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18119 solved: rounds:4,rules:2,peak:5,longest:5,steps:6,word:0,work:519,nodes:20,pairs:28,completionMax:61us [11m11s] 18119 ab:abba=1,abbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18119 ab:abba=1,abbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18120 solved: rounds:2,rules:2,peak:4,longest:14,steps:2,word:6,work:331,nodes:34,pairs:6,completionMax:52us [11m11s] 18120 ab:abba=1,abbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 18120 ab:abba=1,abbbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 18121 solved: rounds:4,rules:2,peak:5,longest:6,steps:13,word:2,work:522,nodes:18,pairs:10,completionMax:38us [11m11s] 18121 ab:abba=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18121 ab:abba=1,abbbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18122 solved: rounds:4,rules:2,peak:11,longest:12,steps:33,word:3,work:14037,nodes:48,pairs:116,completionMax:646us [11m11s] 18122 ab:abba=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18122 ab:abba=1,abbbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18123 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:192,nodes:16,pairs:17,completionMax:35us [11m11s] 18123 ab:abba=1,abbbb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18123 ab:abba=1,abbbb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18124 solved: rounds:2,rules:2,peak:8,longest:6,steps:7,word:0,work:779,nodes:26,pairs:30,completionMax:87us [11m11s] 18124 ab:abba=1,baaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18124 ab:abba=1,baaab=aa finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18125 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:232,nodes:20,pairs:18,completionMax:44us [11m11s] 18125 ab:abba=1,baaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18125 ab:abba=1,baaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18126 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:2,work:327,nodes:20,pairs:17,completionMax:49us [11m11s] 18126 ab:abba=1,baaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 18126 ab:abba=1,baaab=bb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 18127 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:2,work:153,nodes:16,pairs:12,completionMax:33us [11m11s] 18127 ab:abba=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18127 ab:abba=1,baabb=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18128 solved: rounds:2,rules:2,peak:9,longest:5,steps:5,word:0,work:592,nodes:18,pairs:29,completionMax:81us [11m11s] 18128 ab:abba=1,baabb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18128 ab:abba=1,baabb=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18129 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:141,nodes:18,pairs:23,completionMax:38us [11m11s] 18129 ab:abba=1,baabb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18129 ab:abba=1,baabb=ba finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18130 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:273,nodes:18,pairs:17,completionMax:45us [11m11s] 18130 ab:abba=1,baabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18130 ab:abba=1,baabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18131 solved: rounds:2,rules:2,peak:9,longest:8,steps:11,word:3,work:1806,nodes:36,pairs:28,completionMax:152us [11m11s] 18131 ab:abba=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18131 ab:abba=1,babab=aa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18132 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:112,nodes:18,pairs:13,completionMax:24us [11m11s] 18132 ab:abba=1,babab=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18132 ab:abba=1,babab=ab finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18133 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:0,work:671,nodes:22,pairs:36,completionMax:68us [11m11s] 18133 ab:abba=1,babab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18133 ab:abba=1,babab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18134 solved: rounds:3,rules:2,peak:8,longest:10,steps:16,word:6,work:2236,nodes:44,pairs:19,completionMax:91us [11m11s] 18134 ab:abba=1,babbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 18134 ab:abba=1,babbb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 18135 solved: rounds:3,rules:2,peak:8,longest:8,steps:21,word:2,work:2147,nodes:28,pairs:27,completionMax:105us [11m11s] 18135 ab:abba=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18135 ab:abba=1,babbb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18136 solved: rounds:4,rules:2,peak:5,longest:6,steps:8,word:2,work:351,nodes:18,pairs:12,completionMax:33us [11m11s] 18136 ab:abba=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18136 ab:abba=1,babbb=ba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18137 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:419,nodes:22,pairs:17,completionMax:42us [11m11s] 18137 ab:abba=1,babbb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18137 ab:abba=1,babbb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18138 solved: rounds:2,rules:2,peak:5,longest:14,steps:8,word:6,work:458,nodes:34,pairs:7,completionMax:43us [11m11s] 18138 ab:abba=1,bbabb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 18138 ab:abba=1,bbabb=aa finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 18139 solved: rounds:4,rules:2,peak:5,longest:7,steps:11,word:1,work:920,nodes:26,pairs:17,completionMax:51us [11m11s] 18139 ab:abba=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18139 ab:abba=1,bbabb=ab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18140 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:138,nodes:16,pairs:17,completionMax:25us [11m11s] 18140 ab:abba=1,bbabb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 18140 ab:abba=1,bbabb=bb finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 18141 solved: rounds:5,rules:2,peak:6,longest:14,steps:14,word:10,work:1033,nodes:28,pairs:20,completionMax:64us [11m11s] 18141 ab:abba=1,bbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaa [11m11s] from: 18141 ab:abba=1,bbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a6;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbbbbbbb,b=bbbbbbbb [11m11s] # 18142 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:3,work:190,nodes:24,pairs:7,completionMax:32us [11m11s] 18142 ab:abba=1,bbbbb=ab finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb b/a - - ab:bbbbbbbbbb=1,a=bbbb [11m11s] from: 18142 ab:abba=1,bbbbb=ab finite:10;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=1,a=b4;saturation:a:a10=1;cancellative;smith:10;group:a-bbbbbb,b-bbbbbbbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbb,b=b [11m11s] # 18143 solved: rounds:5,rules:2,peak:6,longest:6,steps:5,word:2,work:462,nodes:16,pairs:18,completionMax:38us [11m11s] 18143 ab:abba=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa a/b - - ab:aaaaaa=1,b=aa [11m11s] from: 18143 ab:abba=1,bbbbb=bb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a2;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aaaa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbbb,b=bbbb [11m11s] # 18144 solved: rounds:0,rules:1,peak:2,longest:3,steps:3,word:0,work:28,nodes:6,pairs:0,completionMax:3us [11m11s] 18144 ab:aaa=a,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 18144 ab:aaa=a,aaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 18145 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:6,pairs:4,completionMax:10us [11m11s] 18145 ab:aaa=a,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18145 ab:aaa=a,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18146 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:8,completionMax:11us [11m11s] 18146 ab:aaa=a,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18146 ab:aaa=a,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18147 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:1,work:35,nodes:8,pairs:5,completionMax:10us [11m11s] 18147 ab:aaa=a,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18147 ab:aaa=a,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18148 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:83,nodes:12,pairs:9,completionMax:18us [11m11s] 18148 ab:aaa=a,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18148 ab:aaa=a,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18149 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:96,nodes:14,pairs:11,completionMax:22us [11m11s] 18149 ab:aaa=a,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18149 ab:aaa=a,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18150 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:249,nodes:14,pairs:20,completionMax:30us [11m11s] 18150 ab:aaa=a,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18150 ab:aaa=a,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18151 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:39,nodes:14,pairs:4,completionMax:18us [11m11s] 18151 ab:aaa=a,aaaabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18151 ab:aaa=a,aaaabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18152 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:58,nodes:10,pairs:8,completionMax:16us [11m11s] 18152 ab:aaa=a,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18152 ab:aaa=a,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18153 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:97,nodes:12,pairs:10,completionMax:20us [11m11s] 18153 ab:aaa=a,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18153 ab:aaa=a,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18154 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:1,work:148,nodes:14,pairs:9,completionMax:26us [11m11s] 18154 ab:aaa=a,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18154 ab:aaa=a,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18155 solved: rounds:5,rules:3,peak:6,longest:5,steps:4,word:0,work:290,nodes:18,pairs:11,completionMax:35us [11m11s] 18155 ab:aaa=a,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18155 ab:aaa=a,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18156 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:263,nodes:12,pairs:20,completionMax:40us [11m11s] 18156 ab:aaa=a,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18156 ab:aaa=a,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18157 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:118,nodes:16,pairs:8,completionMax:17us [11m11s] 18157 ab:aaa=a,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18157 ab:aaa=a,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18158 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:81,nodes:18,pairs:8,completionMax:18us [11m11s] 18158 ab:aaa=a,aaabbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18158 ab:aaa=a,aaabbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18159 solved: rounds:3,rules:2,peak:3,longest:8,steps:1,word:3,work:44,nodes:16,pairs:5,completionMax:19us [11m11s] 18159 ab:aaa=a,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18159 ab:aaa=a,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18160 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:99,nodes:14,pairs:11,completionMax:30us [11m11s] 18160 ab:aaa=a,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18160 ab:aaa=a,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18161 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:4,work:533,nodes:16,pairs:25,completionMax:53us [11m11s] 18161 ab:aaa=a,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18161 ab:aaa=a,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18162 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:57,nodes:18,pairs:5,completionMax:16us [11m11s] 18162 ab:aaa=a,aabaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18162 ab:aaa=a,aabaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18163 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:1,work:184,nodes:20,pairs:19,completionMax:49us [11m11s] 18163 ab:aaa=a,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18163 ab:aaa=a,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18164 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:216,nodes:22,pairs:8,completionMax:25us [11m11s] 18164 ab:aaa=a,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18164 ab:aaa=a,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18165 solved: rounds:4,rules:3,peak:6,longest:7,steps:4,word:0,work:410,nodes:28,pairs:14,completionMax:52us [11m11s] 18165 ab:aaa=a,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18165 ab:aaa=a,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18166 solved: rounds:5,rules:2,peak:5,longest:8,steps:5,word:3,work:388,nodes:24,pairs:15,completionMax:49us [11m11s] 18166 ab:aaa=a,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18166 ab:aaa=a,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18167 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:66,nodes:18,pairs:6,completionMax:18us [11m11s] 18167 ab:aaa=a,aabbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18167 ab:aaa=a,aabbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18168 solved: rounds:4,rules:3,peak:6,longest:7,steps:3,word:0,work:345,nodes:28,pairs:13,completionMax:51us [11m11s] 18168 ab:aaa=a,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18168 ab:aaa=a,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18169 solved: rounds:4,rules:2,peak:5,longest:9,steps:4,word:6,work:258,nodes:26,pairs:13,completionMax:46us [11m11s] 18169 ab:aaa=a,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18169 ab:aaa=a,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18170 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:106,nodes:20,pairs:9,completionMax:17us [11m11s] 18170 ab:aaa=a,aabbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18170 ab:aaa=a,aabbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18171 solved: rounds:4,rules:2,peak:4,longest:8,steps:6,word:3,work:279,nodes:22,pairs:16,completionMax:42us [11m11s] 18171 ab:aaa=a,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18171 ab:aaa=a,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18172 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:6,work:420,nodes:22,pairs:20,completionMax:56us [11m11s] 18172 ab:aaa=a,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18172 ab:aaa=a,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18173 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:44,nodes:22,pairs:4,completionMax:25us [11m11s] 18173 ab:aaa=a,aabbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18173 ab:aaa=a,aabbbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18174 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:99,nodes:12,pairs:10,completionMax:31us [11m11s] 18174 ab:aaa=a,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18174 ab:aaa=a,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18175 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:1,work:150,nodes:14,pairs:9,completionMax:18us [11m11s] 18175 ab:aaa=a,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18175 ab:aaa=a,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18176 solved: rounds:5,rules:3,peak:6,longest:5,steps:4,word:0,work:292,nodes:18,pairs:11,completionMax:52us [11m11s] 18176 ab:aaa=a,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18176 ab:aaa=a,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18177 solved: rounds:3,rules:3,peak:4,longest:7,steps:5,word:0,work:170,nodes:20,pairs:9,completionMax:24us [11m11s] 18177 ab:aaa=a,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18177 ab:aaa=a,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18178 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:118,nodes:22,pairs:7,completionMax:22us [11m11s] 18178 ab:aaa=a,abaabba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18178 ab:aaa=a,abaabba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18179 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:47,nodes:18,pairs:3,completionMax:16us [11m11s] 18179 ab:aaa=a,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18179 ab:aaa=a,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18180 solved: rounds:3,rules:3,peak:8,longest:7,steps:6,word:0,work:754,nodes:20,pairs:28,completionMax:71us [11m11s] 18180 ab:aaa=a,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18180 ab:aaa=a,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18181 solved: rounds:2,rules:3,peak:4,longest:7,steps:11,word:0,work:311,nodes:18,pairs:11,completionMax:33us [11m11s] 18181 ab:aaa=a,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18181 ab:aaa=a,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18182 solved: rounds:5,rules:2,peak:9,longest:8,steps:7,word:6,work:2387,nodes:26,pairs:66,completionMax:297us [11m11s] 18182 ab:aaa=a,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18182 ab:aaa=a,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18183 solved: rounds:3,rules:2,peak:5,longest:16,steps:17,word:9,work:788,nodes:42,pairs:10,completionMax:74us [11m11s] 18183 ab:aaa=a,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18183 ab:aaa=a,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18184 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:496,nodes:26,pairs:33,completionMax:88us [11m11s] 18184 ab:aaa=a,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18184 ab:aaa=a,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18185 solved: rounds:6,rules:3,peak:7,longest:15,steps:11,word:15,work:1583,nodes:42,pairs:22,completionMax:120us [11m11s] 18185 ab:aaa=a,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18185 ab:aaa=a,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18186 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:121,nodes:16,pairs:8,completionMax:23us [11m11s] 18186 ab:aaa=a,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18186 ab:aaa=a,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18187 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:3,work:141,nodes:22,pairs:10,completionMax:30us [11m11s] 18187 ab:aaa=a,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18187 ab:aaa=a,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18188 solved: rounds:2,rules:2,peak:7,longest:13,steps:16,word:9,work:1373,nodes:40,pairs:9,completionMax:69us [11m11s] 18188 ab:aaa=a,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18188 ab:aaa=a,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18189 solved: rounds:2,rules:2,peak:4,longest:8,steps:6,word:3,work:220,nodes:20,pairs:9,completionMax:24us [11m11s] 18189 ab:aaa=a,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18189 ab:aaa=a,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18190 solved: rounds:5,rules:3,peak:6,longest:7,steps:7,word:0,work:669,nodes:24,pairs:18,completionMax:53us [11m11s] 18190 ab:aaa=a,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18190 ab:aaa=a,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18191 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:3,work:158,nodes:24,pairs:10,completionMax:25us [11m11s] 18191 ab:aaa=a,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18191 ab:aaa=a,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18192 solved: rounds:3,rules:3,peak:4,longest:7,steps:5,word:0,work:234,nodes:22,pairs:9,completionMax:23us [11m11s] 18192 ab:aaa=a,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18192 ab:aaa=a,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18193 solved: rounds:4,rules:3,peak:7,longest:23,steps:25,word:25,work:5035,nodes:90,pairs:19,completionMax:190us [11m11s] 18193 ab:aaa=a,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18193 ab:aaa=a,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18194 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:106,nodes:26,pairs:8,completionMax:18us [11m11s] 18194 ab:aaa=a,abbbbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18194 ab:aaa=a,abbbbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18195 solved: rounds:3,rules:2,peak:3,longest:12,steps:1,word:5,work:53,nodes:24,pairs:5,completionMax:15us [11m11s] 18195 ab:aaa=a,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18195 ab:aaa=a,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18196 solved: rounds:5,rules:2,peak:4,longest:4,steps:3,word:1,work:79,nodes:10,pairs:8,completionMax:23us [11m11s] 18196 ab:aaa=a,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18196 ab:aaa=a,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18197 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:294,nodes:20,pairs:15,completionMax:43us [11m11s] 18197 ab:aaa=a,baaaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18197 ab:aaa=a,baaaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18198 solved: rounds:2,rules:3,peak:5,longest:5,steps:6,word:0,work:158,nodes:14,pairs:5,completionMax:21us [11m11s] 18198 ab:aaa=a,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18198 ab:aaa=a,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18199 solved: rounds:5,rules:2,peak:5,longest:8,steps:4,word:3,work:399,nodes:18,pairs:10,completionMax:44us [11m11s] 18199 ab:aaa=a,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18199 ab:aaa=a,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18200 solved: rounds:3,rules:2,peak:5,longest:7,steps:5,word:0,work:186,nodes:18,pairs:14,completionMax:39us [11m11s] 18200 ab:aaa=a,baabaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18200 ab:aaa=a,baabaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18201 solved: rounds:4,rules:2,peak:14,longest:15,steps:7,word:7,work:3985,nodes:72,pairs:58,completionMax:226us [11m11s] 18201 ab:aaa=a,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18201 ab:aaa=a,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18202 solved: rounds:3,rules:2,peak:14,longest:11,steps:8,word:6,work:3717,nodes:52,pairs:49,completionMax:272us [11m11s] 18202 ab:aaa=a,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18202 ab:aaa=a,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18203 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:1010,nodes:36,pairs:27,completionMax:67us [11m11s] 18203 ab:aaa=a,baabbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18203 ab:aaa=a,baabbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18204 solved: rounds:4,rules:2,peak:12,longest:9,steps:8,word:3,work:2684,nodes:46,pairs:69,completionMax:237us [11m11s] 18204 ab:aaa=a,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18204 ab:aaa=a,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18205 solved: rounds:5,rules:2,peak:4,longest:8,steps:10,word:3,work:364,nodes:18,pairs:12,completionMax:29us [11m11s] 18205 ab:aaa=a,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18205 ab:aaa=a,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18206 solved: rounds:8,rules:3,peak:10,longest:42,steps:25,word:45,work:11044,nodes:86,pairs:66,completionMax:658us [11m11s] 18206 ab:aaa=a,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18206 ab:aaa=a,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18207 solved: rounds:4,rules:3,peak:6,longest:7,steps:10,word:0,work:1087,nodes:32,pairs:17,completionMax:56us [11m11s] 18207 ab:aaa=a,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18207 ab:aaa=a,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18208 solved: rounds:3,rules:3,peak:10,longest:9,steps:8,word:0,work:3138,nodes:52,pairs:87,completionMax:283us [11m11s] 18208 ab:aaa=a,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18208 ab:aaa=a,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18209 solved: rounds:4,rules:2,peak:6,longest:12,steps:6,word:10,work:1121,nodes:26,pairs:19,completionMax:98us [11m11s] 18209 ab:aaa=a,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18209 ab:aaa=a,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18210 solved: rounds:5,rules:2,peak:5,longest:8,steps:3,word:3,work:419,nodes:20,pairs:17,completionMax:48us [11m11s] 18210 ab:aaa=a,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18210 ab:aaa=a,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18211 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:931,nodes:38,pairs:18,completionMax:77us [11m11s] 18211 ab:aaa=a,bbaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18211 ab:aaa=a,bbaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18212 solved: rounds:4,rules:3,peak:14,longest:15,steps:15,word:15,work:10905,nodes:76,pairs:73,completionMax:473us [11m11s] 18212 ab:aaa=a,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18212 ab:aaa=a,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18213 solved: rounds:5,rules:2,peak:7,longest:12,steps:4,word:5,work:1602,nodes:32,pairs:22,completionMax:84us [11m11s] 18213 ab:aaa=a,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18213 ab:aaa=a,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18214 solved: rounds:5,rules:2,peak:5,longest:12,steps:4,word:5,work:770,nodes:28,pairs:21,completionMax:53us [11m11s] 18214 ab:aaa=a,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18214 ab:aaa=a,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18215 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:6,nodes:18,pairs:0,completionMax:4us [11m11s] 18215 ab:aaa=a,bbbbbbb=1 infinite ab - - ab:aaa=a,bbbbbbb=1 [11m11s] # 18216 solved: rounds:0,rules:2,peak:2,longest:7,steps:0,word:0,work:0,nodes:14,pairs:0,completionMax:3us [11m11s] 18216 ab:aaa=b,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a/b - - ab:aaaaaaa=1,b=aaa [11m11s] from: 18216 ab:aaa=b,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 18217 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:2,work:7,nodes:18,pairs:0,completionMax:4us [11m11s] 18217 ab:aaa=b,aaaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [11m11s] from: 18217 ab:aaa=b,aaaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [11m11s] # 18218 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:2,work:6,nodes:18,pairs:0,completionMax:3us [11m11s] 18218 ab:aaa=b,aaaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [11m11s] from: 18218 ab:aaa=b,aaaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [11m11s] # 18219 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:15,nodes:22,pairs:0,completionMax:5us [11m11s] 18219 ab:aaa=b,aaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18219 ab:aaa=b,aaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18220 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:2,work:5,nodes:18,pairs:0,completionMax:6us [11m11s] 18220 ab:aaa=b,aaaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [11m11s] from: 18220 ab:aaa=b,aaaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [11m11s] # 18221 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:14,nodes:22,pairs:0,completionMax:6us [11m11s] 18221 ab:aaa=b,aaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18221 ab:aaa=b,aaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18222 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:13,nodes:22,pairs:0,completionMax:5us [11m11s] 18222 ab:aaa=b,aaaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18222 ab:aaa=b,aaaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18223 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:24,nodes:26,pairs:0,completionMax:10us [11m11s] 18223 ab:aaa=b,aaaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18223 ab:aaa=b,aaaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18224 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:2,work:4,nodes:18,pairs:0,completionMax:5us [11m11s] 18224 ab:aaa=b,aaabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaa=1,b=aaa [11m11s] from: 18224 ab:aaa=b,aaabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=a,b=aaa [11m11s] # 18225 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:13,nodes:22,pairs:0,completionMax:8us [11m11s] 18225 ab:aaa=b,aaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18225 ab:aaa=b,aaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18226 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:12,nodes:22,pairs:0,completionMax:7us [11m11s] 18226 ab:aaa=b,aaababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18226 ab:aaa=b,aaababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18227 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:23,nodes:26,pairs:0,completionMax:9us [11m11s] 18227 ab:aaa=b,aaababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18227 ab:aaa=b,aaababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18228 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:11,nodes:22,pairs:0,completionMax:7us [11m11s] 18228 ab:aaa=b,aaabbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18228 ab:aaa=b,aaabbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18229 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:22,nodes:26,pairs:0,completionMax:9us [11m11s] 18229 ab:aaa=b,aaabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18229 ab:aaa=b,aaabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18230 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:21,nodes:26,pairs:0,completionMax:7us [11m11s] 18230 ab:aaa=b,aaabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18230 ab:aaa=b,aaabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18231 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:34,nodes:30,pairs:0,completionMax:10us [11m11s] 18231 ab:aaa=b,aaabbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18231 ab:aaa=b,aaabbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18232 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:12,nodes:22,pairs:0,completionMax:9us [11m11s] 18232 ab:aaa=b,aabaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18232 ab:aaa=b,aabaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18233 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:11,nodes:22,pairs:0,completionMax:7us [11m11s] 18233 ab:aaa=b,aabaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18233 ab:aaa=b,aabaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18234 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:22,nodes:26,pairs:0,completionMax:7us [11m11s] 18234 ab:aaa=b,aabaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18234 ab:aaa=b,aabaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18235 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:10,nodes:22,pairs:0,completionMax:7us [11m11s] 18235 ab:aaa=b,aababaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18235 ab:aaa=b,aababaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18236 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:21,nodes:26,pairs:0,completionMax:8us [11m11s] 18236 ab:aaa=b,aababab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18236 ab:aaa=b,aababab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18237 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:20,nodes:26,pairs:0,completionMax:8us [11m11s] 18237 ab:aaa=b,aababba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18237 ab:aaa=b,aababba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18238 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:33,nodes:30,pairs:0,completionMax:8us [11m11s] 18238 ab:aaa=b,aababbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18238 ab:aaa=b,aababbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18239 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:20,nodes:26,pairs:0,completionMax:8us [11m11s] 18239 ab:aaa=b,aabbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18239 ab:aaa=b,aabbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18240 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:19,nodes:26,pairs:0,completionMax:9us [11m11s] 18240 ab:aaa=b,aabbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18240 ab:aaa=b,aabbaba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18241 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:32,nodes:30,pairs:0,completionMax:13us [11m11s] 18241 ab:aaa=b,aabbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18241 ab:aaa=b,aabbabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18242 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:18,nodes:26,pairs:0,completionMax:9us [11m11s] 18242 ab:aaa=b,aabbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18242 ab:aaa=b,aabbbaa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18243 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:31,nodes:30,pairs:0,completionMax:9us [11m11s] 18243 ab:aaa=b,aabbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18243 ab:aaa=b,aabbbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18244 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:30,nodes:30,pairs:0,completionMax:7us [11m11s] 18244 ab:aaa=b,aabbbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18244 ab:aaa=b,aabbbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18245 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:45,nodes:34,pairs:0,completionMax:14us [11m11s] 18245 ab:aaa=b,aabbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18245 ab:aaa=b,aabbbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18246 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:11,nodes:22,pairs:0,completionMax:9us [11m11s] 18246 ab:aaa=b,abaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18246 ab:aaa=b,abaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18247 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:10,nodes:22,pairs:0,completionMax:6us [11m11s] 18247 ab:aaa=b,abaaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18247 ab:aaa=b,abaaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18248 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:21,nodes:26,pairs:0,completionMax:8us [11m11s] 18248 ab:aaa=b,abaaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18248 ab:aaa=b,abaaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18249 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:20,nodes:26,pairs:0,completionMax:9us [11m11s] 18249 ab:aaa=b,abaabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18249 ab:aaa=b,abaabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18250 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:19,nodes:26,pairs:0,completionMax:9us [11m11s] 18250 ab:aaa=b,abaabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18250 ab:aaa=b,abaabba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18251 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:32,nodes:30,pairs:0,completionMax:10us [11m11s] 18251 ab:aaa=b,abaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18251 ab:aaa=b,abaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18252 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:19,nodes:26,pairs:0,completionMax:7us [11m11s] 18252 ab:aaa=b,ababaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18252 ab:aaa=b,ababaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18253 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:18,nodes:26,pairs:0,completionMax:8us [11m11s] 18253 ab:aaa=b,abababa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18253 ab:aaa=b,abababa=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18254 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:31,nodes:30,pairs:0,completionMax:8us [11m11s] 18254 ab:aaa=b,abababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18254 ab:aaa=b,abababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18255 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:30,nodes:30,pairs:0,completionMax:10us [11m11s] 18255 ab:aaa=b,ababbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18255 ab:aaa=b,ababbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18256 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:29,nodes:30,pairs:0,completionMax:7us [11m11s] 18256 ab:aaa=b,ababbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18256 ab:aaa=b,ababbba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18257 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:44,nodes:34,pairs:0,completionMax:9us [11m11s] 18257 ab:aaa=b,ababbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18257 ab:aaa=b,ababbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18258 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:18,nodes:26,pairs:0,completionMax:7us [11m11s] 18258 ab:aaa=b,abbaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18258 ab:aaa=b,abbaaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18259 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:30,nodes:30,pairs:0,completionMax:13us [11m11s] 18259 ab:aaa=b,abbaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18259 ab:aaa=b,abbaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18260 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:29,nodes:30,pairs:0,completionMax:10us [11m11s] 18260 ab:aaa=b,abbabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18260 ab:aaa=b,abbabab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18261 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:28,nodes:30,pairs:0,completionMax:8us [11m11s] 18261 ab:aaa=b,abbabba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18261 ab:aaa=b,abbabba=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18262 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:43,nodes:34,pairs:0,completionMax:14us [11m11s] 18262 ab:aaa=b,abbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18262 ab:aaa=b,abbabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18263 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:28,nodes:30,pairs:0,completionMax:8us [11m11s] 18263 ab:aaa=b,abbbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18263 ab:aaa=b,abbbaab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18264 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:42,nodes:34,pairs:0,completionMax:11us [11m11s] 18264 ab:aaa=b,abbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18264 ab:aaa=b,abbbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18265 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:41,nodes:34,pairs:0,completionMax:9us [11m11s] 18265 ab:aaa=b,abbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18265 ab:aaa=b,abbbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18266 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:40,nodes:34,pairs:0,completionMax:15us [11m11s] 18266 ab:aaa=b,abbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18266 ab:aaa=b,abbbbba=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18267 solved: rounds:0,rules:2,peak:2,longest:19,steps:6,word:12,work:57,nodes:38,pairs:0,completionMax:14us [11m11s] 18267 ab:aaa=b,abbbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18267 ab:aaa=b,abbbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbb,b=b [11m11s] # 18268 solved: rounds:0,rules:2,peak:2,longest:11,steps:2,word:4,work:10,nodes:22,pairs:0,completionMax:6us [11m11s] 18268 ab:aaa=b,baaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aaa [11m11s] from: 18268 ab:aaa=b,baaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b4;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbb,b=b [11m11s] # 18269 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:20,nodes:26,pairs:0,completionMax:7us [11m11s] 18269 ab:aaa=b,baaaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18269 ab:aaa=b,baaaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18270 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:19,nodes:26,pairs:0,completionMax:6us [11m11s] 18270 ab:aaa=b,baaabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18270 ab:aaa=b,baaabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18271 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:31,nodes:30,pairs:0,completionMax:7us [11m11s] 18271 ab:aaa=b,baaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18271 ab:aaa=b,baaabbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18272 solved: rounds:0,rules:2,peak:2,longest:13,steps:3,word:6,work:18,nodes:26,pairs:0,completionMax:6us [11m11s] 18272 ab:aaa=b,baabaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18272 ab:aaa=b,baabaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b9;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbbbb,b=b [11m11s] # 18273 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:30,nodes:30,pairs:0,completionMax:7us [11m11s] 18273 ab:aaa=b,baababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18273 ab:aaa=b,baababb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18274 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:29,nodes:30,pairs:0,completionMax:7us [11m11s] 18274 ab:aaa=b,baabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18274 ab:aaa=b,baabbab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18275 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:43,nodes:34,pairs:0,completionMax:10us [11m11s] 18275 ab:aaa=b,baabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18275 ab:aaa=b,baabbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18276 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:29,nodes:30,pairs:0,completionMax:8us [11m11s] 18276 ab:aaa=b,babaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18276 ab:aaa=b,babaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18277 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:28,nodes:30,pairs:0,completionMax:8us [11m11s] 18277 ab:aaa=b,bababab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18277 ab:aaa=b,bababab=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18278 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:42,nodes:34,pairs:0,completionMax:10us [11m11s] 18278 ab:aaa=b,bababbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18278 ab:aaa=b,bababbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18279 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:41,nodes:34,pairs:0,completionMax:9us [11m11s] 18279 ab:aaa=b,babbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18279 ab:aaa=b,babbabb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18280 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:40,nodes:34,pairs:0,completionMax:10us [11m11s] 18280 ab:aaa=b,babbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18280 ab:aaa=b,babbbab=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18281 solved: rounds:0,rules:2,peak:2,longest:19,steps:6,word:12,work:56,nodes:38,pairs:0,completionMax:12us [11m11s] 18281 ab:aaa=b,babbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18281 ab:aaa=b,babbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbb,b=b [11m11s] # 18282 solved: rounds:0,rules:2,peak:2,longest:15,steps:4,word:8,work:28,nodes:30,pairs:0,completionMax:11us [11m11s] 18282 ab:aaa=b,bbaaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18282 ab:aaa=b,bbaaabb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a3;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=a,b=aaa [11m11s] # 18283 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:41,nodes:34,pairs:0,completionMax:9us [11m11s] 18283 ab:aaa=b,bbaabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18283 ab:aaa=b,bbaabbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18284 solved: rounds:0,rules:2,peak:2,longest:17,steps:5,word:10,work:40,nodes:34,pairs:0,completionMax:8us [11m11s] 18284 ab:aaa=b,bbababb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18284 ab:aaa=b,bbababb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b6;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 4375 ab:aaaa=b,abbbb=1 finite:17;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa;commutative:ab:b17=1,a=b13;saturation:a:a17=1;cancellative;smith:17;group:a-aaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a=bbbbbb,b=b [11m11s] # 18285 solved: rounds:0,rules:2,peak:2,longest:19,steps:6,word:12,work:55,nodes:38,pairs:0,completionMax:17us [11m11s] 18285 ab:aaa=b,bbabbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18285 ab:aaa=b,bbabbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbb,b=b [11m11s] # 18286 solved: rounds:0,rules:2,peak:2,longest:19,steps:6,word:12,work:54,nodes:38,pairs:0,completionMax:12us [11m11s] 18286 ab:aaa=b,bbbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18286 ab:aaa=b,bbbabbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b13;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa to: 13340 ab:aaaab=1,abbbbb=1 finite:19;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;commutative:ab:b19=1,a=b14;saturation:a:a19=1;cancellative;smith:19;group:a-aaaaaaaaaaaaaaaaaa,b-aaaa a=bbbbbbbbbbbbb,b=b [11m11s] # 18287 solved: rounds:0,rules:2,peak:2,longest:21,steps:7,word:14,work:70,nodes:42,pairs:0,completionMax:14us [11m11s] 18287 ab:aaa=b,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a3;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaaaaaaa=1,b=aaa [11m11s] from: 18287 ab:aaa=b,bbbbbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:a21=1,b=a3;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaaaa to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=b,b=bbb [11m11s] # 18288 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:5,work:23,nodes:14,pairs:2,completionMax:14us [11m11s] 18288 ab:aab=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m11s] from: 18288 ab:aab=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m11s] # 18289 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:24,nodes:10,pairs:2,completionMax:11us [11m11s] 18289 ab:aab=a,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18289 ab:aab=a,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18290 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:23,nodes:10,pairs:2,completionMax:6us [11m11s] 18290 ab:aab=a,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18290 ab:aab=a,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18291 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:22,nodes:6,pairs:2,completionMax:7us [11m11s] 18291 ab:aab=a,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18291 ab:aab=a,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18292 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:22,nodes:10,pairs:2,completionMax:11us [11m11s] 18292 ab:aab=a,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18292 ab:aab=a,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18293 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:21,nodes:6,pairs:2,completionMax:8us [11m11s] 18293 ab:aab=a,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18293 ab:aab=a,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18294 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:20,nodes:6,pairs:2,completionMax:11us [11m11s] 18294 ab:aab=a,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18294 ab:aab=a,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18295 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:6,pairs:2,completionMax:4us [11m11s] 18295 ab:aab=a,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18295 ab:aab=a,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18296 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:21,nodes:10,pairs:2,completionMax:8us [11m11s] 18296 ab:aab=a,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18296 ab:aab=a,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18297 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:20,nodes:6,pairs:2,completionMax:6us [11m11s] 18297 ab:aab=a,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18297 ab:aab=a,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18298 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:19,nodes:6,pairs:2,completionMax:5us [11m11s] 18298 ab:aab=a,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18298 ab:aab=a,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18299 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:16,nodes:6,pairs:2,completionMax:3us [11m11s] 18299 ab:aab=a,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18299 ab:aab=a,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18300 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:18,nodes:6,pairs:2,completionMax:6us [11m11s] 18300 ab:aab=a,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18300 ab:aab=a,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18301 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:2,completionMax:3us [11m11s] 18301 ab:aab=a,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18301 ab:aab=a,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18302 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:57,nodes:10,pairs:11,completionMax:19us [11m11s] 18302 ab:aab=a,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18302 ab:aab=a,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18303 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:8,pairs:4,completionMax:7us [11m11s] 18303 ab:aab=a,aaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18303 ab:aab=a,aaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18304 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:3,work:20,nodes:10,pairs:2,completionMax:7us [11m11s] 18304 ab:aab=a,aabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18304 ab:aab=a,aabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18305 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:19,nodes:6,pairs:2,completionMax:3us [11m11s] 18305 ab:aab=a,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18305 ab:aab=a,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18306 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:18,nodes:6,pairs:2,completionMax:5us [11m11s] 18306 ab:aab=a,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18306 ab:aab=a,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18307 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:2,completionMax:4us [11m11s] 18307 ab:aab=a,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18307 ab:aab=a,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18308 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:17,nodes:6,pairs:2,completionMax:3us [11m11s] 18308 ab:aab=a,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18308 ab:aab=a,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18309 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:6,pairs:2,completionMax:4us [11m11s] 18309 ab:aab=a,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18309 ab:aab=a,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18310 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:10,pairs:11,completionMax:16us [11m11s] 18310 ab:aab=a,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18310 ab:aab=a,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18311 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:8,pairs:4,completionMax:7us [11m11s] 18311 ab:aab=a,aababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18311 ab:aab=a,aababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18312 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:79,nodes:14,pairs:9,completionMax:18us [11m11s] 18312 ab:aab=a,aabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18312 ab:aab=a,aabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18313 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:58,nodes:10,pairs:11,completionMax:23us [11m11s] 18313 ab:aab=a,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18313 ab:aab=a,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18314 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:84,nodes:14,pairs:14,completionMax:22us [11m11s] 18314 ab:aab=a,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18314 ab:aab=a,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18315 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:21,nodes:12,pairs:5,completionMax:10us [11m11s] 18315 ab:aab=a,aabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18315 ab:aab=a,aabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18316 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:135,nodes:14,pairs:16,completionMax:30us [11m11s] 18316 ab:aab=a,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18316 ab:aab=a,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18317 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:74,nodes:16,pairs:12,completionMax:21us [11m11s] 18317 ab:aab=a,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18317 ab:aab=a,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18318 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:92,nodes:14,pairs:16,completionMax:27us [11m11s] 18318 ab:aab=a,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18318 ab:aab=a,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18319 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:30,nodes:12,pairs:6,completionMax:17us [11m11s] 18319 ab:aab=a,aabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18319 ab:aab=a,aabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18320 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:110,nodes:22,pairs:9,completionMax:36us [11m11s] 18320 ab:aab=a,abaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18320 ab:aab=a,abaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18321 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:83,nodes:14,pairs:9,completionMax:20us [11m11s] 18321 ab:aab=a,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18321 ab:aab=a,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18322 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:82,nodes:14,pairs:9,completionMax:21us [11m11s] 18322 ab:aab=a,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18322 ab:aab=a,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18323 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:61,nodes:10,pairs:11,completionMax:18us [11m11s] 18323 ab:aab=a,abaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18323 ab:aab=a,abaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18324 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:81,nodes:14,pairs:9,completionMax:16us [11m11s] 18324 ab:aab=a,abaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18324 ab:aab=a,abaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18325 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:60,nodes:10,pairs:11,completionMax:17us [11m11s] 18325 ab:aab=a,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18325 ab:aab=a,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18326 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:86,nodes:14,pairs:14,completionMax:30us [11m11s] 18326 ab:aab=a,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18326 ab:aab=a,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18327 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:0,work:23,nodes:12,pairs:5,completionMax:10us [11m11s] 18327 ab:aab=a,abaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18327 ab:aab=a,abaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18328 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:1,work:116,nodes:18,pairs:11,completionMax:45us [11m11s] 18328 ab:aab=a,ababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18328 ab:aab=a,ababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18329 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:88,nodes:14,pairs:14,completionMax:33us [11m11s] 18329 ab:aab=a,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18329 ab:aab=a,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18330 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:124,nodes:18,pairs:17,completionMax:35us [11m11s] 18330 ab:aab=a,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18330 ab:aab=a,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18331 solved: rounds:3,rules:2,peak:3,longest:7,steps:3,word:0,work:37,nodes:16,pairs:6,completionMax:10us [11m11s] 18331 ab:aab=a,abababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18331 ab:aab=a,abababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18332 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:187,nodes:20,pairs:21,completionMax:32us [11m11s] 18332 ab:aab=a,ababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18332 ab:aab=a,ababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18333 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:147,nodes:20,pairs:11,completionMax:33us [11m11s] 18333 ab:aab=a,ababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18333 ab:aab=a,ababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18334 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:122,nodes:18,pairs:18,completionMax:23us [11m11s] 18334 ab:aab=a,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18334 ab:aab=a,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18335 solved: rounds:4,rules:2,peak:5,longest:7,steps:3,word:4,work:101,nodes:18,pairs:15,completionMax:34us [11m11s] 18335 ab:aab=a,ababbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18335 ab:aab=a,ababbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18336 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:1,work:261,nodes:26,pairs:20,completionMax:43us [11m11s] 18336 ab:aab=a,abbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18336 ab:aab=a,abbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18337 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:139,nodes:14,pairs:16,completionMax:39us [11m11s] 18337 ab:aab=a,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18337 ab:aab=a,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18338 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:138,nodes:14,pairs:16,completionMax:24us [11m11s] 18338 ab:aab=a,abbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18338 ab:aab=a,abbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18339 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:77,nodes:16,pairs:12,completionMax:22us [11m11s] 18339 ab:aab=a,abbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18339 ab:aab=a,abbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18340 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:223,nodes:20,pairs:21,completionMax:42us [11m11s] 18340 ab:aab=a,abbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18340 ab:aab=a,abbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18341 solved: rounds:2,rules:2,peak:4,longest:7,steps:6,word:0,work:230,nodes:26,pairs:15,completionMax:24us [11m11s] 18341 ab:aab=a,abbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18341 ab:aab=a,abbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18342 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:189,nodes:20,pairs:23,completionMax:34us [11m11s] 18342 ab:aab=a,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18342 ab:aab=a,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18343 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:1,work:47,nodes:22,pairs:10,completionMax:24us [11m11s] 18343 ab:aab=a,abbabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18343 ab:aab=a,abbabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18344 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:0,work:214,nodes:26,pairs:22,completionMax:42us [11m11s] 18344 ab:aab=a,abbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18344 ab:aab=a,abbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18345 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:96,nodes:14,pairs:16,completionMax:21us [11m11s] 18345 ab:aab=a,abbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18345 ab:aab=a,abbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18346 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:121,nodes:18,pairs:16,completionMax:37us [11m11s] 18346 ab:aab=a,abbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18346 ab:aab=a,abbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18347 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:1,work:224,nodes:20,pairs:19,completionMax:64us [11m11s] 18347 ab:aab=a,abbbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18347 ab:aab=a,abbbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18348 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:0,work:172,nodes:24,pairs:22,completionMax:34us [11m11s] 18348 ab:aab=a,abbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18348 ab:aab=a,abbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18349 solved: rounds:3,rules:2,peak:9,longest:7,steps:5,word:1,work:1014,nodes:26,pairs:46,completionMax:111us [11m11s] 18349 ab:aab=a,abbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18349 ab:aab=a,abbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18350 solved: rounds:2,rules:2,peak:7,longest:7,steps:3,word:1,work:343,nodes:22,pairs:17,completionMax:40us [11m11s] 18350 ab:aab=a,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18350 ab:aab=a,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18351 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:3,work:160,nodes:18,pairs:10,completionMax:28us [11m11s] 18351 ab:aab=a,abbbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18351 ab:aab=a,abbbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18352 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:301,nodes:26,pairs:17,completionMax:40us [11m11s] 18352 ab:aab=a,baaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18352 ab:aab=a,baaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18353 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:188,nodes:18,pairs:15,completionMax:30us [11m11s] 18353 ab:aab=a,baaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18353 ab:aab=a,baaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18354 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:187,nodes:18,pairs:15,completionMax:30us [11m11s] 18354 ab:aab=a,baaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18354 ab:aab=a,baaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18355 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:117,nodes:10,pairs:14,completionMax:20us [11m11s] 18355 ab:aab=a,baaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18355 ab:aab=a,baaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18356 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:186,nodes:18,pairs:15,completionMax:28us [11m11s] 18356 ab:aab=a,baaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18356 ab:aab=a,baaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18357 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:116,nodes:10,pairs:14,completionMax:19us [11m11s] 18357 ab:aab=a,baaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18357 ab:aab=a,baaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18358 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:115,nodes:10,pairs:14,completionMax:28us [11m11s] 18358 ab:aab=a,baaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18358 ab:aab=a,baaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18359 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:85,nodes:10,pairs:8,completionMax:20us [11m11s] 18359 ab:aab=a,baaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18359 ab:aab=a,baaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18360 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:185,nodes:18,pairs:15,completionMax:41us [11m11s] 18360 ab:aab=a,baabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18360 ab:aab=a,baabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18361 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:115,nodes:10,pairs:14,completionMax:24us [11m11s] 18361 ab:aab=a,baabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18361 ab:aab=a,baabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18362 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:114,nodes:10,pairs:14,completionMax:23us [11m11s] 18362 ab:aab=a,baababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18362 ab:aab=a,baababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18363 solved: rounds:2,rules:2,peak:6,longest:3,steps:2,word:0,work:84,nodes:10,pairs:8,completionMax:20us [11m11s] 18363 ab:aab=a,baababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18363 ab:aab=a,baababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18364 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:154,nodes:14,pairs:17,completionMax:31us [11m11s] 18364 ab:aab=a,baabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18364 ab:aab=a,baabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18365 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:148,nodes:14,pairs:15,completionMax:28us [11m11s] 18365 ab:aab=a,baabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18365 ab:aab=a,baabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18366 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:99,nodes:16,pairs:15,completionMax:28us [11m11s] 18366 ab:aab=a,baabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18366 ab:aab=a,baabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18367 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:108,nodes:16,pairs:13,completionMax:24us [11m11s] 18367 ab:aab=a,baabbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18367 ab:aab=a,baabbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18368 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:1,work:209,nodes:24,pairs:16,completionMax:30us [11m11s] 18368 ab:aab=a,babaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18368 ab:aab=a,babaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18369 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:157,nodes:14,pairs:17,completionMax:35us [11m11s] 18369 ab:aab=a,babaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18369 ab:aab=a,babaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18370 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:156,nodes:14,pairs:17,completionMax:21us [11m11s] 18370 ab:aab=a,babaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18370 ab:aab=a,babaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18371 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:150,nodes:14,pairs:15,completionMax:31us [11m11s] 18371 ab:aab=a,babaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18371 ab:aab=a,babaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18372 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:223,nodes:18,pairs:19,completionMax:38us [11m11s] 18372 ab:aab=a,bababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18372 ab:aab=a,bababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18373 solved: rounds:3,rules:2,peak:5,longest:7,steps:9,word:0,work:319,nodes:18,pairs:17,completionMax:45us [11m11s] 18373 ab:aab=a,bababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18373 ab:aab=a,bababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18374 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:129,nodes:20,pairs:16,completionMax:40us [11m11s] 18374 ab:aab=a,bababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18374 ab:aab=a,bababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18375 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:1,work:184,nodes:20,pairs:13,completionMax:49us [11m11s] 18375 ab:aab=a,bababbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18375 ab:aab=a,bababbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18376 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:178,nodes:22,pairs:18,completionMax:38us [11m11s] 18376 ab:aab=a,babbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18376 ab:aab=a,babbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18377 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:102,nodes:16,pairs:15,completionMax:28us [11m11s] 18377 ab:aab=a,babbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18377 ab:aab=a,babbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18378 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:81,nodes:18,pairs:11,completionMax:22us [11m11s] 18378 ab:aab=a,babbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18378 ab:aab=a,babbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18379 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:1,work:455,nodes:22,pairs:14,completionMax:65us [11m11s] 18379 ab:aab=a,babbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18379 ab:aab=a,babbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18380 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:168,nodes:22,pairs:16,completionMax:35us [11m11s] 18380 ab:aab=a,babbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18380 ab:aab=a,babbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18381 solved: rounds:3,rules:2,peak:14,longest:7,steps:6,word:1,work:1427,nodes:30,pairs:58,completionMax:177us [11m11s] 18381 ab:aab=a,babbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18381 ab:aab=a,babbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18382 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:1,work:230,nodes:20,pairs:19,completionMax:42us [11m11s] 18382 ab:aab=a,babbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18382 ab:aab=a,babbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18383 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:252,nodes:24,pairs:20,completionMax:57us [11m11s] 18383 ab:aab=a,babbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18383 ab:aab=a,babbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18384 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:1,work:398,nodes:22,pairs:20,completionMax:66us [11m11s] 18384 ab:aab=a,bbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18384 ab:aab=a,bbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18385 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:173,nodes:14,pairs:17,completionMax:33us [11m11s] 18385 ab:aab=a,bbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18385 ab:aab=a,bbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18386 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:172,nodes:14,pairs:17,completionMax:29us [11m11s] 18386 ab:aab=a,bbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18386 ab:aab=a,bbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18387 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:53,nodes:10,pairs:8,completionMax:13us [11m11s] 18387 ab:aab=a,bbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18387 ab:aab=a,bbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18388 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:171,nodes:14,pairs:17,completionMax:33us [11m11s] 18388 ab:aab=a,bbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18388 ab:aab=a,bbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18389 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:10,pairs:8,completionMax:12us [11m11s] 18389 ab:aab=a,bbaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18389 ab:aab=a,bbaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18390 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:57,nodes:14,pairs:9,completionMax:13us [11m11s] 18390 ab:aab=a,bbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18390 ab:aab=a,bbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18391 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:1,work:773,nodes:22,pairs:37,completionMax:94us [11m11s] 18391 ab:aab=a,bbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18391 ab:aab=a,bbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18392 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:176,nodes:18,pairs:17,completionMax:56us [11m11s] 18392 ab:aab=a,bbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18392 ab:aab=a,bbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18393 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:59,nodes:14,pairs:9,completionMax:14us [11m11s] 18393 ab:aab=a,bbabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18393 ab:aab=a,bbabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18394 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:76,nodes:18,pairs:10,completionMax:23us [11m11s] 18394 ab:aab=a,bbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18394 ab:aab=a,bbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18395 solved: rounds:2,rules:2,peak:14,longest:7,steps:10,word:1,work:2361,nodes:42,pairs:24,completionMax:191us [11m11s] 18395 ab:aab=a,bbababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18395 ab:aab=a,bbababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18396 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:163,nodes:22,pairs:15,completionMax:39us [11m11s] 18396 ab:aab=a,bbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18396 ab:aab=a,bbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18397 solved: rounds:3,rules:2,peak:9,longest:7,steps:5,word:1,work:578,nodes:32,pairs:28,completionMax:67us [11m11s] 18397 ab:aab=a,bbabbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18397 ab:aab=a,bbabbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18398 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:1,work:165,nodes:20,pairs:15,completionMax:27us [11m11s] 18398 ab:aab=a,bbabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18398 ab:aab=a,bbabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18399 solved: rounds:3,rules:2,peak:11,longest:7,steps:6,word:3,work:1578,nodes:32,pairs:59,completionMax:146us [11m11s] 18399 ab:aab=a,bbabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18399 ab:aab=a,bbabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18400 solved: rounds:2,rules:2,peak:9,longest:7,steps:5,word:0,work:327,nodes:24,pairs:15,completionMax:65us [11m11s] 18400 ab:aab=a,bbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18400 ab:aab=a,bbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18401 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:140,nodes:16,pairs:14,completionMax:39us [11m11s] 18401 ab:aab=a,bbbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18401 ab:aab=a,bbbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18402 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:139,nodes:16,pairs:14,completionMax:36us [11m11s] 18402 ab:aab=a,bbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18402 ab:aab=a,bbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18403 solved: rounds:3,rules:2,peak:7,longest:5,steps:9,word:2,work:351,nodes:22,pairs:29,completionMax:44us [11m11s] 18403 ab:aab=a,bbbaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18403 ab:aab=a,bbbaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18404 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:164,nodes:20,pairs:16,completionMax:29us [11m11s] 18404 ab:aab=a,bbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18404 ab:aab=a,bbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18405 solved: rounds:4,rules:2,peak:9,longest:7,steps:3,word:1,work:1140,nodes:42,pairs:65,completionMax:143us [11m11s] 18405 ab:aab=a,bbbabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18405 ab:aab=a,bbbabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18406 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:1,work:105,nodes:18,pairs:13,completionMax:30us [11m11s] 18406 ab:aab=a,bbbabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18406 ab:aab=a,bbbabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18407 solved: rounds:3,rules:2,peak:9,longest:7,steps:7,word:3,work:1401,nodes:28,pairs:46,completionMax:162us [11m11s] 18407 ab:aab=a,bbbabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18407 ab:aab=a,bbbabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18408 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:0,work:302,nodes:22,pairs:15,completionMax:65us [11m11s] 18408 ab:aab=a,bbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18408 ab:aab=a,bbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18409 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:75,nodes:14,pairs:13,completionMax:38us [11m11s] 18409 ab:aab=a,bbbbaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18409 ab:aab=a,bbbbaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18410 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:1,work:100,nodes:18,pairs:9,completionMax:28us [11m11s] 18410 ab:aab=a,bbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18410 ab:aab=a,bbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18411 solved: rounds:3,rules:2,peak:14,longest:7,steps:7,word:3,work:3450,nodes:42,pairs:135,completionMax:1097us [11m11s] 18411 ab:aab=a,bbbbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18411 ab:aab=a,bbbbabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18412 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:244,nodes:20,pairs:22,completionMax:62us [11m11s] 18412 ab:aab=a,bbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18412 ab:aab=a,bbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18413 solved: rounds:3,rules:2,peak:10,longest:7,steps:7,word:3,work:1743,nodes:36,pairs:31,completionMax:153us [11m11s] 18413 ab:aab=a,bbbbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18413 ab:aab=a,bbbbbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18414 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:3,work:166,nodes:18,pairs:14,completionMax:35us [11m11s] 18414 ab:aab=a,bbbbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18414 ab:aab=a,bbbbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18415 solved: rounds:7,rules:3,peak:4,longest:8,steps:6,word:5,work:294,nodes:28,pairs:7,completionMax:55us [11m11s] 18415 ab:aab=a,bbbbbbb=1 finite:56;idempotents:1,ba,bbaa,bbbaaa,aaaaaaa,bbbbaaaa,bbbbbaaaaa,bbbbbbaaaaaa a/b - - ab:aaaaaaaa=a,ab=aaaaaaa,bbbbbbb=1 [11m11s] # 18416 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:44,nodes:14,pairs:2,completionMax:8us [11m11s] 18416 ab:aab=b,aaaaaaa=1 infinite ab - - ab:ab=b,aaaaaaa=1 [11m11s] # 18417 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:16,nodes:6,pairs:1,completionMax:3us [11m11s] 18417 ab:aab=b,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18417 ab:aab=b,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18418 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:57,nodes:10,pairs:10,completionMax:19us [11m11s] 18418 ab:aab=b,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18418 ab:aab=b,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18419 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:22,nodes:8,pairs:4,completionMax:9us [11m11s] 18419 ab:aab=b,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18419 ab:aab=b,aaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18420 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:63,nodes:10,pairs:7,completionMax:16us [11m11s] 18420 ab:aab=b,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18420 ab:aab=b,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18421 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:48,nodes:10,pairs:4,completionMax:14us [11m11s] 18421 ab:aab=b,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18421 ab:aab=b,aaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18422 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:84,nodes:12,pairs:10,completionMax:22us [11m11s] 18422 ab:aab=b,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18422 ab:aab=b,aaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18423 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:5us [11m11s] 18423 ab:aab=b,aaaabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18423 ab:aab=b,aaaabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18424 solved: rounds:2,rules:2,peak:9,longest:5,steps:2,word:0,work:301,nodes:18,pairs:23,completionMax:80us [11m11s] 18424 ab:aab=b,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18424 ab:aab=b,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18425 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:21,nodes:8,pairs:4,completionMax:11us [11m11s] 18425 ab:aab=b,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18425 ab:aab=b,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18426 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:2,work:283,nodes:14,pairs:18,completionMax:53us [11m11s] 18426 ab:aab=b,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18426 ab:aab=b,aaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18427 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:299,nodes:18,pairs:13,completionMax:37us [11m11s] 18427 ab:aab=b,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18427 ab:aab=b,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18428 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:474,nodes:20,pairs:28,completionMax:98us [11m11s] 18428 ab:aab=b,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18428 ab:aab=b,aaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18429 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:176,nodes:16,pairs:7,completionMax:32us [11m11s] 18429 ab:aab=b,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18429 ab:aab=b,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18430 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:69,nodes:18,pairs:10,completionMax:23us [11m11s] 18430 ab:aab=b,aaabbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18430 ab:aab=b,aaabbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18431 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:26,nodes:16,pairs:4,completionMax:12us [11m11s] 18431 ab:aab=b,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18431 ab:aab=b,aaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18432 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:89,nodes:14,pairs:9,completionMax:32us [11m11s] 18432 ab:aab=b,aabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18432 ab:aab=b,aabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18433 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:48,nodes:10,pairs:4,completionMax:13us [11m11s] 18433 ab:aab=b,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18433 ab:aab=b,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18434 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:83,nodes:12,pairs:10,completionMax:22us [11m11s] 18434 ab:aab=b,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18434 ab:aab=b,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18435 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:10us [11m11s] 18435 ab:aab=b,aabaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18435 ab:aab=b,aabaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18436 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:1,work:207,nodes:14,pairs:16,completionMax:30us [11m11s] 18436 ab:aab=b,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18436 ab:aab=b,aababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18437 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:86,nodes:14,pairs:6,completionMax:12us [11m11s] 18437 ab:aab=b,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18437 ab:aab=b,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18438 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:382,nodes:18,pairs:19,completionMax:49us [11m11s] 18438 ab:aab=b,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18438 ab:aab=b,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18439 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:349,nodes:24,pairs:11,completionMax:30us [11m11s] 18439 ab:aab=b,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18439 ab:aab=b,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18440 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:137,nodes:18,pairs:9,completionMax:36us [11m11s] 18440 ab:aab=b,aabbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18440 ab:aab=b,aabbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18441 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:7us [11m11s] 18441 ab:aab=b,aabbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18441 ab:aab=b,aabbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18442 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:681,nodes:24,pairs:32,completionMax:66us [11m11s] 18442 ab:aab=b,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18442 ab:aab=b,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18443 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:286,nodes:22,pairs:10,completionMax:32us [11m11s] 18443 ab:aab=b,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18443 ab:aab=b,aabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18444 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:108,nodes:14,pairs:7,completionMax:26us [11m11s] 18444 ab:aab=b,aabbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18444 ab:aab=b,aabbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18445 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:301,nodes:18,pairs:17,completionMax:36us [11m11s] 18445 ab:aab=b,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18445 ab:aab=b,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18446 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:140,nodes:20,pairs:10,completionMax:29us [11m11s] 18446 ab:aab=b,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18446 ab:aab=b,aabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18447 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:8,nodes:14,pairs:1,completionMax:6us [11m11s] 18447 ab:aab=b,aabbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18447 ab:aab=b,aabbbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18448 solved: rounds:3,rules:2,peak:9,longest:7,steps:3,word:0,work:500,nodes:26,pairs:29,completionMax:81us [11m11s] 18448 ab:aab=b,abaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18448 ab:aab=b,abaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18449 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:24,nodes:8,pairs:4,completionMax:11us [11m11s] 18449 ab:aab=b,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18449 ab:aab=b,abaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18450 solved: rounds:2,rules:2,peak:5,longest:5,steps:7,word:2,work:285,nodes:14,pairs:18,completionMax:41us [11m11s] 18450 ab:aab=b,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18450 ab:aab=b,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18451 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:301,nodes:18,pairs:13,completionMax:52us [11m11s] 18451 ab:aab=b,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18451 ab:aab=b,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18452 solved: rounds:3,rules:2,peak:9,longest:5,steps:2,word:1,work:475,nodes:20,pairs:28,completionMax:98us [11m11s] 18452 ab:aab=b,abaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18452 ab:aab=b,abaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18453 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:177,nodes:16,pairs:7,completionMax:31us [11m11s] 18453 ab:aab=b,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18453 ab:aab=b,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18454 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:70,nodes:18,pairs:10,completionMax:33us [11m11s] 18454 ab:aab=b,abaabba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18454 ab:aab=b,abaabba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18455 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:27,nodes:16,pairs:4,completionMax:16us [11m11s] 18455 ab:aab=b,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18455 ab:aab=b,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18456 solved: rounds:3,rules:2,peak:11,longest:7,steps:8,word:3,work:1926,nodes:36,pairs:38,completionMax:171us [11m11s] 18456 ab:aab=b,ababaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18456 ab:aab=b,ababaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18457 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:302,nodes:18,pairs:13,completionMax:49us [11m11s] 18457 ab:aab=b,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18457 ab:aab=b,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18458 solved: rounds:2,rules:3,peak:5,longest:7,steps:9,word:0,work:302,nodes:20,pairs:11,completionMax:33us [11m11s] 18458 ab:aab=b,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18458 ab:aab=b,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18459 solved: rounds:4,rules:2,peak:8,longest:12,steps:3,word:6,work:953,nodes:38,pairs:24,completionMax:111us [11m11s] 18459 ab:aab=b,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18459 ab:aab=b,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18460 solved: rounds:4,rules:3,peak:9,longest:7,steps:4,word:0,work:1091,nodes:26,pairs:67,completionMax:175us [11m11s] 18460 ab:aab=b,ababbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18460 ab:aab=b,ababbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18461 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:3,work:624,nodes:30,pairs:30,completionMax:97us [11m11s] 18461 ab:aab=b,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18461 ab:aab=b,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18462 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:6,work:652,nodes:26,pairs:30,completionMax:96us [11m11s] 18462 ab:aab=b,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18462 ab:aab=b,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18463 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1595,nodes:42,pairs:24,completionMax:132us [11m11s] 18463 ab:aab=b,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18463 ab:aab=b,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18464 solved: rounds:3,rules:2,peak:10,longest:7,steps:3,word:1,work:660,nodes:28,pairs:31,completionMax:116us [11m11s] 18464 ab:aab=b,abbaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18464 ab:aab=b,abbaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18465 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:0,work:179,nodes:16,pairs:7,completionMax:33us [11m11s] 18465 ab:aab=b,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18465 ab:aab=b,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18466 solved: rounds:2,rules:2,peak:5,longest:5,steps:1,word:0,work:71,nodes:18,pairs:10,completionMax:25us [11m11s] 18466 ab:aab=b,abbaaba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18466 ab:aab=b,abbaaba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18467 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:28,nodes:16,pairs:4,completionMax:11us [11m11s] 18467 ab:aab=b,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18467 ab:aab=b,abbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18468 solved: rounds:4,rules:3,peak:11,longest:7,steps:4,word:0,work:1355,nodes:30,pairs:62,completionMax:194us [11m11s] 18468 ab:aab=b,abbabaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18468 ab:aab=b,abbabaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18469 solved: rounds:4,rules:2,peak:8,longest:8,steps:6,word:3,work:731,nodes:28,pairs:37,completionMax:117us [11m11s] 18469 ab:aab=b,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18469 ab:aab=b,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18470 solved: rounds:2,rules:2,peak:5,longest:9,steps:7,word:6,work:494,nodes:20,pairs:18,completionMax:60us [11m11s] 18470 ab:aab=b,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18470 ab:aab=b,abbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18471 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:729,nodes:26,pairs:21,completionMax:72us [11m11s] 18471 ab:aab=b,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18471 ab:aab=b,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18472 solved: rounds:2,rules:2,peak:9,longest:7,steps:2,word:0,work:481,nodes:26,pairs:25,completionMax:83us [11m11s] 18472 ab:aab=b,abbbaaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18472 ab:aab=b,abbbaaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18473 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:29,nodes:16,pairs:4,completionMax:13us [11m11s] 18473 ab:aab=b,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18473 ab:aab=b,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18474 solved: rounds:5,rules:2,peak:9,longest:8,steps:6,word:3,work:1341,nodes:28,pairs:65,completionMax:185us [11m11s] 18474 ab:aab=b,abbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18474 ab:aab=b,abbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18475 solved: rounds:2,rules:3,peak:6,longest:7,steps:6,word:0,work:341,nodes:26,pairs:7,completionMax:42us [11m11s] 18475 ab:aab=b,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18475 ab:aab=b,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18476 solved: rounds:3,rules:2,peak:9,longest:9,steps:2,word:3,work:854,nodes:32,pairs:36,completionMax:146us [11m11s] 18476 ab:aab=b,abbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18476 ab:aab=b,abbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18477 solved: rounds:4,rules:3,peak:6,longest:42,steps:25,word:45,work:7233,nodes:86,pairs:21,completionMax:269us [11m11s] 18477 ab:aab=b,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18477 ab:aab=b,abbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18478 solved: rounds:2,rules:2,peak:5,longest:7,steps:1,word:0,work:91,nodes:26,pairs:10,completionMax:34us [11m11s] 18478 ab:aab=b,abbbbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18478 ab:aab=b,abbbbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18479 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:32,nodes:24,pairs:4,completionMax:26us [11m11s] 18479 ab:aab=b,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18479 ab:aab=b,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18480 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:131,nodes:18,pairs:11,completionMax:39us [11m11s] 18480 ab:aab=b,baaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18480 ab:aab=b,baaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18481 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:52,nodes:10,pairs:4,completionMax:25us [11m11s] 18481 ab:aab=b,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18481 ab:aab=b,baaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18482 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:86,nodes:12,pairs:10,completionMax:37us [11m11s] 18482 ab:aab=b,baaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18482 ab:aab=b,baaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18483 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:4us [11m11s] 18483 ab:aab=b,baaaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18483 ab:aab=b,baaaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18484 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:1,work:209,nodes:14,pairs:16,completionMax:41us [11m11s] 18484 ab:aab=b,baaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18484 ab:aab=b,baaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18485 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:88,nodes:14,pairs:6,completionMax:19us [11m11s] 18485 ab:aab=b,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18485 ab:aab=b,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18486 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:384,nodes:18,pairs:19,completionMax:47us [11m11s] 18486 ab:aab=b,baaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18486 ab:aab=b,baaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18487 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:351,nodes:24,pairs:11,completionMax:34us [11m11s] 18487 ab:aab=b,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18487 ab:aab=b,baaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18488 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:138,nodes:18,pairs:9,completionMax:31us [11m11s] 18488 ab:aab=b,baabaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18488 ab:aab=b,baabaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18489 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:7us [11m11s] 18489 ab:aab=b,baabaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18489 ab:aab=b,baabaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18490 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:682,nodes:24,pairs:32,completionMax:98us [11m11s] 18490 ab:aab=b,baababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18490 ab:aab=b,baababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18491 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:287,nodes:22,pairs:10,completionMax:48us [11m11s] 18491 ab:aab=b,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18491 ab:aab=b,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18492 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:109,nodes:14,pairs:7,completionMax:32us [11m11s] 18492 ab:aab=b,baabbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18492 ab:aab=b,baabbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18493 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:302,nodes:18,pairs:17,completionMax:58us [11m11s] 18493 ab:aab=b,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18493 ab:aab=b,baabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18494 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:141,nodes:20,pairs:10,completionMax:31us [11m11s] 18494 ab:aab=b,baabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18494 ab:aab=b,baabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18495 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:9,nodes:14,pairs:1,completionMax:11us [11m11s] 18495 ab:aab=b,baabbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18495 ab:aab=b,baabbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18496 solved: rounds:4,rules:2,peak:5,longest:7,steps:2,word:1,work:263,nodes:18,pairs:18,completionMax:59us [11m11s] 18496 ab:aab=b,babaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18496 ab:aab=b,babaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18497 solved: rounds:2,rules:3,peak:4,longest:5,steps:4,word:0,work:90,nodes:14,pairs:6,completionMax:14us [11m11s] 18497 ab:aab=b,babaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18497 ab:aab=b,babaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18498 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:385,nodes:18,pairs:19,completionMax:72us [11m11s] 18498 ab:aab=b,babaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18498 ab:aab=b,babaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18499 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:352,nodes:24,pairs:11,completionMax:45us [11m11s] 18499 ab:aab=b,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18499 ab:aab=b,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18500 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:533,nodes:18,pairs:13,completionMax:50us [11m11s] 18500 ab:aab=b,bababaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18500 ab:aab=b,bababaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18501 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:227,nodes:18,pairs:8,completionMax:31us [11m11s] 18501 ab:aab=b,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18501 ab:aab=b,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18502 solved: rounds:2,rules:2,peak:8,longest:12,steps:14,word:6,work:1536,nodes:40,pairs:13,completionMax:79us [11m11s] 18502 ab:aab=b,bababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18502 ab:aab=b,bababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18503 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12635,nodes:86,pairs:93,completionMax:517us [11m11s] 18503 ab:aab=b,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18503 ab:aab=b,bababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18504 solved: rounds:3,rules:3,peak:6,longest:7,steps:4,word:0,work:605,nodes:18,pairs:27,completionMax:78us [11m11s] 18504 ab:aab=b,babbaaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18504 ab:aab=b,babbaaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18505 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:353,nodes:24,pairs:11,completionMax:55us [11m11s] 18505 ab:aab=b,babbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18505 ab:aab=b,babbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18506 solved: rounds:2,rules:2,peak:9,longest:14,steps:8,word:9,work:2244,nodes:52,pairs:14,completionMax:115us [11m11s] 18506 ab:aab=b,babbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18506 ab:aab=b,babbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18507 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:330,nodes:18,pairs:7,completionMax:32us [11m11s] 18507 ab:aab=b,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18507 ab:aab=b,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18508 solved: rounds:4,rules:2,peak:5,longest:8,steps:3,word:6,work:381,nodes:22,pairs:16,completionMax:66us [11m11s] 18508 ab:aab=b,babbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18508 ab:aab=b,babbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18509 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2522,nodes:38,pairs:64,completionMax:405us [11m11s] 18509 ab:aab=b,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18509 ab:aab=b,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18510 solved: rounds:4,rules:3,peak:9,longest:15,steps:11,word:15,work:3083,nodes:42,pairs:45,completionMax:219us [11m11s] 18510 ab:aab=b,babbbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18510 ab:aab=b,babbbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18511 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:692,nodes:40,pairs:21,completionMax:55us [11m11s] 18511 ab:aab=b,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18511 ab:aab=b,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18512 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:1,work:194,nodes:22,pairs:11,completionMax:33us [11m11s] 18512 ab:aab=b,bbaaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18512 ab:aab=b,bbaaaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18513 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:5us [11m11s] 18513 ab:aab=b,bbaaaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18513 ab:aab=b,bbaaaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18514 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:684,nodes:24,pairs:32,completionMax:74us [11m11s] 18514 ab:aab=b,bbaaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18514 ab:aab=b,bbaaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18515 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:289,nodes:22,pairs:10,completionMax:33us [11m11s] 18515 ab:aab=b,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18515 ab:aab=b,bbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18516 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:110,nodes:14,pairs:7,completionMax:29us [11m11s] 18516 ab:aab=b,bbaabaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18516 ab:aab=b,bbaabaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18517 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:303,nodes:18,pairs:17,completionMax:41us [11m11s] 18517 ab:aab=b,bbaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18517 ab:aab=b,bbaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18518 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:142,nodes:20,pairs:10,completionMax:45us [11m11s] 18518 ab:aab=b,bbaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18518 ab:aab=b,bbaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18519 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:14,pairs:1,completionMax:11us [11m11s] 18519 ab:aab=b,bbaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18519 ab:aab=b,bbaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18520 solved: rounds:4,rules:3,peak:7,longest:7,steps:4,word:0,work:806,nodes:24,pairs:36,completionMax:99us [11m11s] 18520 ab:aab=b,bbabaaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18520 ab:aab=b,bbabaaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18521 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:290,nodes:22,pairs:10,completionMax:36us [11m11s] 18521 ab:aab=b,bbabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18521 ab:aab=b,bbabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18522 solved: rounds:4,rules:2,peak:11,longest:8,steps:4,word:3,work:2458,nodes:54,pairs:87,completionMax:665us [11m11s] 18522 ab:aab=b,bbababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18522 ab:aab=b,bbababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18523 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13324,nodes:86,pairs:93,completionMax:1188us [11m11s] 18523 ab:aab=b,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18523 ab:aab=b,bbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18524 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:901,nodes:32,pairs:26,completionMax:127us [11m11s] 18524 ab:aab=b,bbabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18524 ab:aab=b,bbabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18525 solved: rounds:3,rules:3,peak:5,longest:7,steps:5,word:0,work:254,nodes:18,pairs:11,completionMax:32us [11m11s] 18525 ab:aab=b,bbabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18525 ab:aab=b,bbabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18526 solved: rounds:3,rules:3,peak:8,longest:7,steps:4,word:0,work:736,nodes:30,pairs:28,completionMax:80us [11m11s] 18526 ab:aab=b,bbabbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18526 ab:aab=b,bbabbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18527 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1209,nodes:40,pairs:20,completionMax:139us [11m11s] 18527 ab:aab=b,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18527 ab:aab=b,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18528 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:161,nodes:18,pairs:9,completionMax:24us [11m11s] 18528 ab:aab=b,bbbaaaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m11s] from: 18528 ab:aab=b,bbbaaaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m11s] # 18529 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:305,nodes:18,pairs:17,completionMax:55us [11m11s] 18529 ab:aab=b,bbbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18529 ab:aab=b,bbbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18530 solved: rounds:3,rules:2,peak:5,longest:9,steps:1,word:3,work:143,nodes:20,pairs:10,completionMax:38us [11m11s] 18530 ab:aab=b,bbbaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18530 ab:aab=b,bbbaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18531 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:11,nodes:14,pairs:1,completionMax:11us [11m11s] 18531 ab:aab=b,bbbaabb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18531 ab:aab=b,bbbaabb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18532 solved: rounds:4,rules:2,peak:7,longest:8,steps:4,word:6,work:1008,nodes:24,pairs:33,completionMax:104us [11m11s] 18532 ab:aab=b,bbbabaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18532 ab:aab=b,bbbabaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18533 solved: rounds:6,rules:3,peak:11,longest:42,steps:25,word:45,work:10798,nodes:86,pairs:84,completionMax:551us [11m11s] 18533 ab:aab=b,bbbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18533 ab:aab=b,bbbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18534 solved: rounds:4,rules:3,peak:8,longest:8,steps:7,word:0,work:2329,nodes:40,pairs:49,completionMax:187us [11m11s] 18534 ab:aab=b,bbbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18534 ab:aab=b,bbbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18535 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:569,nodes:32,pairs:13,completionMax:64us [11m11s] 18535 ab:aab=b,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18535 ab:aab=b,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18536 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:3,work:236,nodes:26,pairs:11,completionMax:42us [11m11s] 18536 ab:aab=b,bbbbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18536 ab:aab=b,bbbbaaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18537 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:14,pairs:1,completionMax:7us [11m11s] 18537 ab:aab=b,bbbbaab=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18537 ab:aab=b,bbbbaab=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18538 solved: rounds:5,rules:3,peak:6,longest:20,steps:25,word:20,work:3983,nodes:72,pairs:41,completionMax:199us [11m11s] 18538 ab:aab=b,bbbbaba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m11s] from: 18538 ab:aab=b,bbbbaba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m11s] # 18539 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:10,work:3315,nodes:60,pairs:35,completionMax:242us [11m11s] 18539 ab:aab=b,bbbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18539 ab:aab=b,bbbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18540 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:160,nodes:18,pairs:7,completionMax:37us [11m11s] 18540 ab:aab=b,bbbbbaa=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m11s] from: 18540 ab:aab=b,bbbbbaa=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m11s] # 18541 solved: rounds:4,rules:2,peak:9,longest:21,steps:7,word:10,work:4819,nodes:56,pairs:38,completionMax:297us [11m11s] 18541 ab:aab=b,bbbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18541 ab:aab=b,bbbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18542 solved: rounds:3,rules:2,peak:5,longest:13,steps:1,word:5,work:202,nodes:28,pairs:10,completionMax:53us [11m11s] 18542 ab:aab=b,bbbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18542 ab:aab=b,bbbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18543 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:18,pairs:1,completionMax:23us [11m11s] 18543 ab:aab=b,bbbbbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m11s] from: 18543 ab:aab=b,bbbbbbb=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m11s] # 18544 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:5,work:43,nodes:18,pairs:4,completionMax:40us [11m11s] 18544 ab:aba=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m11s] from: 18544 ab:aba=a,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m11s] # 18545 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:0,work:110,nodes:16,pairs:6,completionMax:32us [11m11s] 18545 ab:aba=a,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18545 ab:aba=a,aaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18546 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:3,work:42,nodes:14,pairs:4,completionMax:27us [11m11s] 18546 ab:aba=a,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18546 ab:aba=a,aaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18547 solved: rounds:3,rules:2,peak:3,longest:7,steps:1,word:0,work:25,nodes:16,pairs:3,completionMax:9us [11m11s] 18547 ab:aba=a,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18547 ab:aba=a,aaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18548 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:3,work:41,nodes:14,pairs:4,completionMax:18us [11m11s] 18548 ab:aba=a,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18548 ab:aba=a,aaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18549 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:79,nodes:12,pairs:6,completionMax:21us [11m11s] 18549 ab:aba=a,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18549 ab:aba=a,aaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18550 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:1,work:81,nodes:18,pairs:7,completionMax:15us [11m11s] 18550 ab:aba=a,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18550 ab:aba=a,aaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18551 solved: rounds:3,rules:2,peak:3,longest:7,steps:2,word:0,work:24,nodes:16,pairs:3,completionMax:8us [11m11s] 18551 ab:aba=a,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18551 ab:aba=a,aaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18552 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:3,work:40,nodes:14,pairs:4,completionMax:18us [11m11s] 18552 ab:aba=a,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18552 ab:aba=a,aaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18553 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:78,nodes:12,pairs:6,completionMax:25us [11m11s] 18553 ab:aba=a,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18553 ab:aba=a,aaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18554 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:1,work:37,nodes:10,pairs:4,completionMax:16us [11m11s] 18554 ab:aba=a,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18554 ab:aba=a,aaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18555 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:12,pairs:3,completionMax:6us [11m11s] 18555 ab:aba=a,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18555 ab:aba=a,aaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18556 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:1,work:82,nodes:18,pairs:8,completionMax:23us [11m11s] 18556 ab:aba=a,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18556 ab:aba=a,aaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18557 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:82,nodes:16,pairs:7,completionMax:18us [11m11s] 18557 ab:aba=a,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18557 ab:aba=a,aaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18558 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:78,nodes:18,pairs:7,completionMax:16us [11m11s] 18558 ab:aba=a,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18558 ab:aba=a,aaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18559 solved: rounds:3,rules:2,peak:3,longest:7,steps:2,word:0,work:22,nodes:16,pairs:3,completionMax:8us [11m11s] 18559 ab:aba=a,aaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18559 ab:aba=a,aaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18560 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:77,nodes:12,pairs:6,completionMax:19us [11m11s] 18560 ab:aba=a,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18560 ab:aba=a,aabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18561 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:1,work:36,nodes:10,pairs:4,completionMax:15us [11m11s] 18561 ab:aba=a,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18561 ab:aba=a,aabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18562 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:12,pairs:3,completionMax:8us [11m11s] 18562 ab:aba=a,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18562 ab:aba=a,aabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18563 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:1,work:35,nodes:10,pairs:4,completionMax:12us [11m11s] 18563 ab:aba=a,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18563 ab:aba=a,aababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18564 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:46,nodes:8,pairs:6,completionMax:12us [11m11s] 18564 ab:aba=a,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18564 ab:aba=a,aababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18565 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:14,pairs:7,completionMax:14us [11m11s] 18565 ab:aba=a,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18565 ab:aba=a,aababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18566 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:3,completionMax:5us [11m11s] 18566 ab:aba=a,aababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18566 ab:aba=a,aababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18567 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:111,nodes:18,pairs:8,completionMax:17us [11m11s] 18567 ab:aba=a,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18567 ab:aba=a,aabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18568 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:60,nodes:14,pairs:7,completionMax:9us [11m11s] 18568 ab:aba=a,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18568 ab:aba=a,aabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18569 solved: rounds:3,rules:2,peak:3,longest:7,steps:2,word:0,work:27,nodes:16,pairs:4,completionMax:6us [11m11s] 18569 ab:aba=a,aabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18569 ab:aba=a,aabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18570 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:83,nodes:18,pairs:8,completionMax:12us [11m11s] 18570 ab:aba=a,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18570 ab:aba=a,aabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18571 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:0,work:79,nodes:18,pairs:10,completionMax:20us [11m11s] 18571 ab:aba=a,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18571 ab:aba=a,aabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18572 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:0,work:68,nodes:18,pairs:9,completionMax:12us [11m11s] 18572 ab:aba=a,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18572 ab:aba=a,aabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18573 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:1,work:44,nodes:16,pairs:7,completionMax:13us [11m11s] 18573 ab:aba=a,aabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18573 ab:aba=a,aabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18574 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:76,nodes:12,pairs:6,completionMax:19us [11m11s] 18574 ab:aba=a,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18574 ab:aba=a,abaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18575 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:1,work:35,nodes:10,pairs:4,completionMax:11us [11m11s] 18575 ab:aba=a,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18575 ab:aba=a,abaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18576 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:3,completionMax:6us [11m11s] 18576 ab:aba=a,abaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18576 ab:aba=a,abaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18577 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:45,nodes:8,pairs:6,completionMax:11us [11m11s] 18577 ab:aba=a,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18577 ab:aba=a,abaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18578 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:56,nodes:14,pairs:7,completionMax:31us [11m11s] 18578 ab:aba=a,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18578 ab:aba=a,abaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18579 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:20,nodes:12,pairs:3,completionMax:13us [11m11s] 18579 ab:aba=a,abaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18579 ab:aba=a,abaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18580 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:44,nodes:8,pairs:6,completionMax:18us [11m11s] 18580 ab:aba=a,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18580 ab:aba=a,ababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18581 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:2,completionMax:5us [11m11s] 18581 ab:aba=a,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18581 ab:aba=a,abababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18582 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:19,nodes:6,pairs:3,completionMax:22us [11m11s] 18582 ab:aba=a,abababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18582 ab:aba=a,abababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18583 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:70,nodes:12,pairs:11,completionMax:18us [11m11s] 18583 ab:aba=a,ababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18583 ab:aba=a,ababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18584 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:52,nodes:12,pairs:9,completionMax:12us [11m11s] 18584 ab:aba=a,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18584 ab:aba=a,ababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18585 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:1,work:43,nodes:10,pairs:7,completionMax:14us [11m11s] 18585 ab:aba=a,ababbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18585 ab:aba=a,ababbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18586 solved: rounds:4,rules:2,peak:4,longest:7,steps:3,word:0,work:140,nodes:20,pairs:19,completionMax:28us [11m11s] 18586 ab:aba=a,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18586 ab:aba=a,abbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18587 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:60,nodes:16,pairs:7,completionMax:14us [11m11s] 18587 ab:aba=a,abbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18587 ab:aba=a,abbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18588 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:73,nodes:12,pairs:11,completionMax:15us [11m11s] 18588 ab:aba=a,abbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18588 ab:aba=a,abbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18589 solved: rounds:3,rules:2,peak:4,longest:7,steps:2,word:0,work:84,nodes:16,pairs:12,completionMax:19us [11m11s] 18589 ab:aba=a,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18589 ab:aba=a,abbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18590 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:1,work:50,nodes:14,pairs:8,completionMax:16us [11m11s] 18590 ab:aba=a,abbabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18590 ab:aba=a,abbabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18591 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:0,work:158,nodes:20,pairs:20,completionMax:31us [11m11s] 18591 ab:aba=a,abbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18591 ab:aba=a,abbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18592 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:1,work:56,nodes:14,pairs:9,completionMax:23us [11m11s] 18592 ab:aba=a,abbbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18592 ab:aba=a,abbbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18593 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:1,work:199,nodes:20,pairs:20,completionMax:51us [11m11s] 18593 ab:aba=a,abbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18593 ab:aba=a,abbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18594 solved: rounds:5,rules:2,peak:4,longest:7,steps:1,word:1,work:86,nodes:16,pairs:15,completionMax:28us [11m11s] 18594 ab:aba=a,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18594 ab:aba=a,abbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18595 solved: rounds:6,rules:2,peak:5,longest:7,steps:3,word:3,work:203,nodes:14,pairs:16,completionMax:48us [11m11s] 18595 ab:aba=a,abbbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18595 ab:aba=a,abbbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18596 solved: rounds:4,rules:2,peak:6,longest:7,steps:2,word:1,work:270,nodes:26,pairs:22,completionMax:59us [11m11s] 18596 ab:aba=a,baaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18596 ab:aba=a,baaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18597 solved: rounds:2,rules:2,peak:9,longest:7,steps:6,word:0,work:336,nodes:26,pairs:12,completionMax:60us [11m11s] 18597 ab:aba=a,baaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18597 ab:aba=a,baaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18598 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:187,nodes:18,pairs:21,completionMax:43us [11m11s] 18598 ab:aba=a,baaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18598 ab:aba=a,baaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18599 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:347,nodes:26,pairs:21,completionMax:48us [11m11s] 18599 ab:aba=a,baaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18599 ab:aba=a,baaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18600 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:0,work:186,nodes:18,pairs:21,completionMax:43us [11m11s] 18600 ab:aba=a,baabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18600 ab:aba=a,baabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18601 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:175,nodes:18,pairs:12,completionMax:35us [11m11s] 18601 ab:aba=a,baababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18601 ab:aba=a,baababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18602 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:261,nodes:26,pairs:13,completionMax:33us [11m11s] 18602 ab:aba=a,baabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18602 ab:aba=a,baabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18603 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:1,work:287,nodes:26,pairs:11,completionMax:32us [11m11s] 18603 ab:aba=a,baabbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18603 ab:aba=a,baabbbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18604 solved: rounds:2,rules:2,peak:8,longest:5,steps:4,word:0,work:174,nodes:18,pairs:12,completionMax:29us [11m11s] 18604 ab:aba=a,babaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18604 ab:aba=a,babaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18605 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:61,nodes:10,pairs:13,completionMax:14us [11m11s] 18605 ab:aba=a,bababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18605 ab:aba=a,bababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18606 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:189,nodes:16,pairs:11,completionMax:27us [11m11s] 18606 ab:aba=a,bababbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18606 ab:aba=a,bababbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18607 solved: rounds:2,rules:2,peak:8,longest:7,steps:5,word:1,work:447,nodes:24,pairs:21,completionMax:57us [11m11s] 18607 ab:aba=a,babbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18607 ab:aba=a,babbabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18608 solved: rounds:2,rules:2,peak:10,longest:7,steps:3,word:1,work:498,nodes:24,pairs:16,completionMax:55us [11m11s] 18608 ab:aba=a,babbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18608 ab:aba=a,babbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18609 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:3,work:401,nodes:24,pairs:16,completionMax:48us [11m11s] 18609 ab:aba=a,babbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18609 ab:aba=a,babbbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18610 solved: rounds:3,rules:2,peak:12,longest:7,steps:7,word:0,work:4473,nodes:38,pairs:87,completionMax:219us [11m11s] 18610 ab:aba=a,bbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 18610 ab:aba=a,bbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 18611 solved: rounds:3,rules:2,peak:16,longest:9,steps:39,word:1,work:7027,nodes:62,pairs:111,completionMax:480us [11m11s] 18611 ab:aba=a,bbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18611 ab:aba=a,bbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18612 solved: rounds:3,rules:2,peak:9,longest:5,steps:5,word:1,work:552,nodes:18,pairs:31,completionMax:104us [11m11s] 18612 ab:aba=a,bbababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 18612 ab:aba=a,bbababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 18613 solved: rounds:6,rules:2,peak:7,longest:7,steps:5,word:3,work:1985,nodes:36,pairs:49,completionMax:142us [11m11s] 18613 ab:aba=a,bbabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18613 ab:aba=a,bbabbbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18614 solved: rounds:6,rules:2,peak:8,longest:7,steps:6,word:3,work:1058,nodes:24,pairs:33,completionMax:85us [11m11s] 18614 ab:aba=a,bbbabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m11s] from: 18614 ab:aba=a,bbbabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m11s] # 18615 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:6,nodes:18,pairs:0,completionMax:6us [11m11s] 18615 ab:aba=a,bbbbbbb=1 infinite ab - - ab:aba=a,bbbbbbb=1 [11m11s] # 18616 solved: rounds:1,rules:2,peak:3,longest:7,steps:13,word:15,work:369,nodes:16,pairs:3,completionMax:45us [11m11s] 18616 ab:aba=b,aaaaaaa=1 infinite a/b - - ab:aaaaaaa=1,ab=baaaaaa [11m11s] # 18617 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:236,nodes:20,pairs:12,completionMax:50us [11m11s] 18617 ab:aba=b,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18617 ab:aba=b,aaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18618 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:166,nodes:16,pairs:12,completionMax:37us [11m11s] 18618 ab:aba=b,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18618 ab:aba=b,aaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18619 solved: rounds:4,rules:3,peak:12,longest:10,steps:7,word:16,work:3949,nodes:48,pairs:53,completionMax:245us [11m11s] 18619 ab:aba=b,aaaaabb=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaa=1,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 18620 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:58,nodes:10,pairs:10,completionMax:17us [11m11s] 18620 ab:aba=b,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18620 ab:aba=b,aaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18621 solved: rounds:4,rules:3,peak:10,longest:6,steps:6,word:8,work:1520,nodes:28,pairs:34,completionMax:183us [11m11s] 18621 ab:aba=b,aaaabab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [11m11s] from: 18621 ab:aba=b,aaaabab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [11m11s] # 18622 solved: rounds:6,rules:3,peak:10,longest:13,steps:18,word:16,work:5820,nodes:58,pairs:50,completionMax:419us [11m11s] 18622 ab:aba=b,aaaabba=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaa=1,ab=baaaaaaaaa,bb=aaaaa [11m11s] from: 18622 ab:aba=b,aaaabba=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa to: 18619 ab:aba=b,aaaaabb=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a=a,b=b [11m11s] # 18623 solved: rounds:3,rules:3,peak:9,longest:7,steps:4,word:0,work:713,nodes:36,pairs:19,completionMax:101us [11m11s] 18623 ab:aba=b,aaaabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18623 ab:aba=b,aaaabbb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18624 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:6,pairs:1,completionMax:4us [11m11s] 18624 ab:aba=b,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 18624 ab:aba=b,aaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 18625 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:49,nodes:10,pairs:8,completionMax:30us [11m11s] 18625 ab:aba=b,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18625 ab:aba=b,aaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18626 solved: rounds:4,rules:3,peak:11,longest:11,steps:18,word:9,work:3200,nodes:42,pairs:30,completionMax:244us [11m11s] 18626 ab:aba=b,aaababa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [11m11s] from: 18626 ab:aba=b,aaababa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [11m11s] # 18627 solved: rounds:3,rules:3,peak:9,longest:5,steps:3,word:0,work:548,nodes:26,pairs:17,completionMax:77us [11m11s] 18627 ab:aba=b,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18627 ab:aba=b,aaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18628 solved: rounds:6,rules:3,peak:10,longest:13,steps:18,word:16,work:5784,nodes:58,pairs:51,completionMax:307us [11m11s] 18628 ab:aba=b,aaabbaa=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaa=1,ab=baaaaaaaaa,bb=aaaaa [11m11s] from: 18628 ab:aba=b,aaabbaa=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa to: 18619 ab:aba=b,aaaaabb=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a=a,b=b [11m11s] # 18629 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:0,work:294,nodes:20,pairs:12,completionMax:43us [11m11s] 18629 ab:aba=b,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18629 ab:aba=b,aaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18630 solved: rounds:3,rules:3,peak:9,longest:7,steps:4,word:0,work:747,nodes:30,pairs:26,completionMax:99us [11m11s] 18630 ab:aba=b,aaabbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18630 ab:aba=b,aaabbba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18631 solved: rounds:4,rules:3,peak:9,longest:7,steps:12,word:8,work:3087,nodes:30,pairs:36,completionMax:224us [11m11s] 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] # 18632 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:28,nodes:10,pairs:7,completionMax:11us [11m11s] 18632 ab:aba=b,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18632 ab:aba=b,aabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18633 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:7,completionMax:18us [11m11s] 18633 ab:aba=b,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18633 ab:aba=b,aabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18634 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:63,nodes:10,pairs:4,completionMax:17us [11m11s] 18634 ab:aba=b,aabaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18634 ab:aba=b,aabaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18635 solved: rounds:4,rules:3,peak:11,longest:11,steps:18,word:9,work:3165,nodes:42,pairs:31,completionMax:182us [11m11s] 18635 ab:aba=b,aababaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [11m11s] from: 18635 ab:aba=b,aababaa=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [11m11s] # 18636 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:256,nodes:16,pairs:22,completionMax:64us [11m11s] 18636 ab:aba=b,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18636 ab:aba=b,aababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18637 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:312,nodes:18,pairs:21,completionMax:55us [11m11s] 18637 ab:aba=b,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18637 ab:aba=b,aababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18638 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:113,nodes:18,pairs:9,completionMax:28us [11m11s] 18638 ab:aba=b,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18638 ab:aba=b,aababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18639 solved: rounds:2,rules:3,peak:8,longest:7,steps:4,word:0,work:555,nodes:34,pairs:21,completionMax:69us [11m11s] 18639 ab:aba=b,aabbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18639 ab:aba=b,aabbaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18640 solved: rounds:3,rules:3,peak:9,longest:5,steps:3,word:0,work:550,nodes:26,pairs:17,completionMax:78us [11m11s] 18640 ab:aba=b,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18640 ab:aba=b,aabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18641 solved: rounds:5,rules:3,peak:15,longest:9,steps:12,word:8,work:6987,nodes:50,pairs:70,completionMax:409us [11m11s] 18641 ab:aba=b,aabbabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18641 ab:aba=b,aabbabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18642 solved: rounds:3,rules:3,peak:9,longest:7,steps:5,word:0,work:974,nodes:32,pairs:35,completionMax:89us [11m11s] 18642 ab:aba=b,aabbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18642 ab:aba=b,aabbbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18643 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:6,work:275,nodes:20,pairs:14,completionMax:43us [11m11s] 18643 ab:aba=b,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18643 ab:aba=b,aabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18644 solved: rounds:4,rules:3,peak:10,longest:11,steps:46,word:14,work:9323,nodes:40,pairs:41,completionMax:308us [11m11s] 18644 ab:aba=b,aabbbba=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18644 ab:aba=b,aabbbba=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18645 solved: rounds:3,rules:3,peak:9,longest:7,steps:5,word:0,work:786,nodes:42,pairs:17,completionMax:75us [11m11s] 18645 ab:aba=b,aabbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18645 ab:aba=b,aabbbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18646 solved: rounds:4,rules:3,peak:9,longest:7,steps:10,word:7,work:1163,nodes:30,pairs:40,completionMax:121us [11m11s] 18646 ab:aba=b,abaaaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a/b - - ab:aaaaaa=1,ab=baaaaa,bb=aaa [11m11s] from: 18646 ab:aba=b,abaaaab=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=b [11m11s] # 18647 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:29,nodes:10,pairs:7,completionMax:15us [11m11s] 18647 ab:aba=b,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m11s] from: 18647 ab:aba=b,abaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m11s] # 18648 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:426,nodes:18,pairs:21,completionMax:65us [11m11s] 18648 ab:aba=b,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18648 ab:aba=b,abaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18649 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:63,nodes:10,pairs:4,completionMax:13us [11m11s] 18649 ab:aba=b,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18649 ab:aba=b,abaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18650 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:0,work:288,nodes:18,pairs:19,completionMax:48us [11m11s] 18650 ab:aba=b,abaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18650 ab:aba=b,abaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18651 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:33,nodes:16,pairs:6,completionMax:17us [11m11s] 18651 ab:aba=b,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18651 ab:aba=b,abaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18652 solved: rounds:2,rules:3,peak:8,longest:5,steps:5,word:0,work:524,nodes:20,pairs:20,completionMax:55us [11m11s] 18652 ab:aba=b,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18652 ab:aba=b,ababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18653 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:64,nodes:10,pairs:4,completionMax:12us [11m11s] 18653 ab:aba=b,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18653 ab:aba=b,abababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18654 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:6,work:501,nodes:24,pairs:13,completionMax:58us [11m11s] 18654 ab:aba=b,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18654 ab:aba=b,abababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18655 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:37,nodes:16,pairs:6,completionMax:16us [11m11s] 18655 ab:aba=b,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18655 ab:aba=b,ababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18656 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:108,nodes:20,pairs:9,completionMax:23us [11m11s] 18656 ab:aba=b,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18656 ab:aba=b,ababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18657 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:0,work:100,nodes:14,pairs:6,completionMax:18us [11m11s] 18657 ab:aba=b,ababbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18657 ab:aba=b,ababbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18658 solved: rounds:2,rules:3,peak:6,longest:7,steps:6,word:0,work:630,nodes:32,pairs:24,completionMax:79us [11m11s] 18658 ab:aba=b,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18658 ab:aba=b,abbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18659 solved: rounds:5,rules:3,peak:15,longest:9,steps:12,word:8,work:6963,nodes:50,pairs:71,completionMax:362us [11m11s] 18659 ab:aba=b,abbaabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18659 ab:aba=b,abbaabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18660 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:3,work:115,nodes:18,pairs:9,completionMax:24us [11m11s] 18660 ab:aba=b,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18660 ab:aba=b,abbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18661 solved: rounds:4,rules:3,peak:10,longest:11,steps:46,word:14,work:9302,nodes:40,pairs:43,completionMax:303us [11m11s] 18661 ab:aba=b,abbabba=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18661 ab:aba=b,abbabba=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18662 solved: rounds:3,rules:3,peak:9,longest:7,steps:4,word:0,work:776,nodes:36,pairs:17,completionMax:64us [11m11s] 18662 ab:aba=b,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18662 ab:aba=b,abbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18663 solved: rounds:2,rules:2,peak:5,longest:13,steps:8,word:9,work:732,nodes:38,pairs:12,completionMax:52us [11m11s] 18663 ab:aba=b,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18663 ab:aba=b,abbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18664 solved: rounds:3,rules:3,peak:7,longest:7,steps:4,word:0,work:514,nodes:28,pairs:17,completionMax:77us [11m11s] 18664 ab:aba=b,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18664 ab:aba=b,abbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18665 solved: rounds:2,rules:3,peak:6,longest:7,steps:5,word:0,work:457,nodes:24,pairs:21,completionMax:69us [11m11s] 18665 ab:aba=b,abbbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18665 ab:aba=b,abbbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18666 solved: rounds:3,rules:3,peak:6,longest:7,steps:5,word:0,work:536,nodes:26,pairs:20,completionMax:56us [11m11s] 18666 ab:aba=b,abbbbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18666 ab:aba=b,abbbbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18667 solved: rounds:2,rules:2,peak:4,longest:12,steps:1,word:5,work:151,nodes:26,pairs:9,completionMax:32us [11m11s] 18667 ab:aba=b,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18667 ab:aba=b,abbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18668 solved: rounds:4,rules:3,peak:8,longest:10,steps:11,word:15,work:3292,nodes:42,pairs:40,completionMax:202us [11m11s] 18668 ab:aba=b,baaaaab=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a/b - - ab:aaaaaaaaaa=1,ab=baaaaaaaaa,bb=aaaaa [11m11s] from: 18668 ab:aba=b,baaaaab=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa to: 18619 ab:aba=b,aaaaabb=1 finite:20;center:1,aaaaa;group:a-aaaaaaaaa,b-baaaaa a=a,b=b [11m11s] # 18669 solved: rounds:2,rules:3,peak:13,longest:7,steps:6,word:0,work:1361,nodes:32,pairs:21,completionMax:135us [11m11s] 18669 ab:aba=b,baaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18669 ab:aba=b,baaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18670 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:0,work:429,nodes:18,pairs:21,completionMax:61us [11m11s] 18670 ab:aba=b,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18670 ab:aba=b,baaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18671 solved: rounds:4,rules:3,peak:9,longest:7,steps:18,word:10,work:3428,nodes:36,pairs:40,completionMax:243us [11m11s] 18671 ab:aba=b,baaabbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18671 ab:aba=b,baaabbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18672 solved: rounds:2,rules:3,peak:5,longest:3,steps:2,word:0,work:65,nodes:10,pairs:4,completionMax:20us [11m11s] 18672 ab:aba=b,baabaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m11s] from: 18672 ab:aba=b,baabaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m11s] # 18673 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:35,nodes:16,pairs:6,completionMax:12us [11m11s] 18673 ab:aba=b,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18673 ab:aba=b,baababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18674 solved: rounds:4,rules:3,peak:11,longest:11,steps:13,word:12,work:4464,nodes:54,pairs:65,completionMax:207us [11m11s] 18674 ab:aba=b,baabbab=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18674 ab:aba=b,baabbab=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18675 solved: rounds:2,rules:3,peak:9,longest:7,steps:5,word:0,work:872,nodes:32,pairs:20,completionMax:71us [11m11s] 18675 ab:aba=b,baabbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18675 ab:aba=b,baabbbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18676 solved: rounds:2,rules:2,peak:7,longest:8,steps:5,word:6,work:502,nodes:24,pairs:13,completionMax:54us [11m11s] 18676 ab:aba=b,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18676 ab:aba=b,babaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18677 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:38,nodes:16,pairs:6,completionMax:23us [11m11s] 18677 ab:aba=b,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m11s] from: 18677 ab:aba=b,bababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m11s] # 18678 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:0,work:101,nodes:14,pairs:6,completionMax:26us [11m11s] 18678 ab:aba=b,bababbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18678 ab:aba=b,bababbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18679 solved: rounds:2,rules:3,peak:9,longest:7,steps:6,word:0,work:833,nodes:34,pairs:21,completionMax:110us [11m11s] 18679 ab:aba=b,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18679 ab:aba=b,babbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18680 solved: rounds:2,rules:3,peak:9,longest:7,steps:7,word:0,work:903,nodes:34,pairs:18,completionMax:78us [11m11s] 18680 ab:aba=b,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18680 ab:aba=b,babbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18681 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:40,nodes:24,pairs:6,completionMax:35us [11m11s] 18681 ab:aba=b,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18681 ab:aba=b,babbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18682 solved: rounds:4,rules:3,peak:12,longest:8,steps:20,word:8,work:5789,nodes:46,pairs:46,completionMax:287us [11m11s] 18682 ab:aba=b,bbaaabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a/b - - ab:aaaaaa=1,ab=baaaaa,bbbb=aaa [11m11s] from: 18682 ab:aba=b,bbaaabb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa a=a,b=b [11m11s] # 18683 solved: rounds:2,rules:3,peak:9,longest:7,steps:6,word:0,work:1190,nodes:44,pairs:14,completionMax:91us [11m11s] 18683 ab:aba=b,bbaabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18683 ab:aba=b,bbaabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18684 solved: rounds:4,rules:3,peak:4,longest:5,steps:3,word:0,work:102,nodes:14,pairs:6,completionMax:23us [11m11s] 18684 ab:aba=b,bbababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m11s] from: 18684 ab:aba=b,bbababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m11s] # 18685 solved: rounds:2,rules:2,peak:7,longest:12,steps:6,word:10,work:923,nodes:40,pairs:13,completionMax:77us [11m11s] 18685 ab:aba=b,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18685 ab:aba=b,bbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18686 solved: rounds:2,rules:2,peak:5,longest:12,steps:7,word:10,work:457,nodes:32,pairs:14,completionMax:54us [11m11s] 18686 ab:aba=b,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 18686 ab:aba=b,bbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m11s] # 18687 solved: rounds:4,rules:3,peak:4,longest:7,steps:4,word:0,work:142,nodes:18,pairs:6,completionMax:27us [11m11s] 18687 ab:aba=b,bbbbbbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m11s] from: 18687 ab:aba=b,bbbbbbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m11s] # 18688 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:38,nodes:6,pairs:0,completionMax:5us [11m11s] 18688 ab:aaa=a,aaaaaa=a infinite ab - - ab:aa=a [11m11s] from: 18688 ab:aaa=a,aaaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m11s] # 18689 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [11m11s] 18689 ab:aaa=a,aaaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m11s] from: 18689 ab:aaa=a,aaaaaa=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m11s] # 18690 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:3us [11m11s] 18690 ab:aaa=a,aaaaab=a infinite ab - - ab:ab=a,aaa=a [11m11s] from: 18690 ab:aaa=a,aaaaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m11s] # 18691 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m11s] 18691 ab:aaa=a,aaaaab=b infinite ab - - ab:ab=b,aaa=a [11m11s] from: 18691 ab:aaa=a,aaaaab=b infinite to: 1983 ab:aaa=a,aaab=b infinite a=a,b=b [11m11s] # 18692 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:72,nodes:10,pairs:1,completionMax:10us [11m11s] 18692 ab:aaa=a,aaaaba=a infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 18692 ab:aaa=a,aaaaba=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 18693 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:183,nodes:14,pairs:14,completionMax:40us [11m11s] 18693 ab:aaa=a,aaaaba=b infinite ab - - ab:ba=b,aaa=a,aab=b [11m11s] from: 18693 ab:aaa=a,aaaaba=b infinite to: 1985 ab:aaa=a,aaba=b infinite a=a,b=b [11m11s] # 18694 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:10,pairs:1,completionMax:9us [11m11s] 18694 ab:aaa=a,aaaabb=a infinite ab - - ab:aaa=a,abb=aa [11m11s] from: 18694 ab:aaa=a,aaaabb=a infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [11m11s] # 18695 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:0,work:48,nodes:10,pairs:4,completionMax:20us [11m11s] 18695 ab:aaa=a,aaaabb=b infinite ab - - ab:bb=b,aaa=a,aab=b [11m11s] from: 18695 ab:aaa=a,aaaabb=b infinite to: 1987 ab:aaa=a,aabb=b infinite a=a,b=b [11m11s] # 18696 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:78,nodes:10,pairs:1,completionMax:22us [11m11s] 18696 ab:aaa=a,aaabaa=a infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 18696 ab:aaa=a,aaabaa=a infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 18697 solved: rounds:2,rules:3,peak:6,longest:4,steps:2,word:0,work:176,nodes:14,pairs:12,completionMax:52us [11m11s] 18697 ab:aaa=a,aaabaa=b infinite ab - - ab:ab=b,aaa=a,baa=b [11m11s] # 18698 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:113,nodes:10,pairs:5,completionMax:35us [11m11s] 18698 ab:aaa=a,aaabab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 18698 ab:aaa=a,aaabab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 18699 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:103,nodes:14,pairs:6,completionMax:21us [11m11s] 18699 ab:aaa=a,aaabab=b finite:9;idempotents:1,b,aa,aba,baa ab - - ab:bb=b,aaa=a,aab=b,bab=ab [11m11s] from: 18699 ab:aaa=a,aaabab=b finite:9;idempotents:1,b,aa,aba,baa to: 1989 ab:aaa=a,abab=b finite:9;idempotents:1,b,aa,aba,baa a=a,b=b [11m11s] # 18700 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:10,pairs:0,completionMax:4us [11m11s] 18700 ab:aaa=a,aaabba=a infinite ab - - ab:aaa=a,abba=a [11m11s] from: 18700 ab:aaa=a,aaabba=a infinite to: 1990 ab:aaa=a,abba=a infinite a=a,b=b [11m11s] # 18701 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:2,work:340,nodes:20,pairs:15,completionMax:51us [11m11s] 18701 ab:aaa=a,aaabba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb b/a - - ab:bbbb=b,ba=abb,aab=b,aaa=a [11m11s] from: 18701 ab:aaa=a,aaabba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb to: 1991 ab:aaa=a,abba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb a=a,b=b [11m11s] # 18702 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m11s] 18702 ab:aaa=a,aaabbb=a infinite ab - - ab:aaa=a,abbb=a [11m11s] from: 18702 ab:aaa=a,aaabbb=a infinite to: 1992 ab:aaa=a,abbb=a infinite a=a,b=b [11m11s] # 18703 solved: rounds:3,rules:3,peak:4,longest:5,steps:1,word:1,work:48,nodes:14,pairs:4,completionMax:17us [11m11s] 18703 ab:aaa=a,aaabbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=a [11m11s] from: 18703 ab:aaa=a,aaabbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa to: 1993 ab:aaa=a,abbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa a=a,b=b [11m11s] # 18704 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:337,nodes:18,pairs:14,completionMax:43us [11m11s] 18704 ab:aaa=a,aabaab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 18704 ab:aaa=a,aabaab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 18705 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:72,nodes:14,pairs:6,completionMax:19us [11m11s] 18705 ab:aaa=a,aabaab=b infinite ab - - ab:bb=b,aaa=a,aab=b [11m11s] from: 18705 ab:aaa=a,aabaab=b infinite to: 1987 ab:aaa=a,aabb=b infinite a=a,b=b [11m11s] # 18706 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:193,nodes:18,pairs:3,completionMax:22us [11m11s] 18706 ab:aaa=a,aababa=a infinite ab - - ab:aaa=a,abaa=aaba,ababa=aa [11m11s] # 18707 solved: rounds:2,rules:5,peak:10,longest:6,steps:3,word:0,work:678,nodes:24,pairs:17,completionMax:84us [11m11s] 18707 ab:aaa=a,aababa=b finite:7;idempotents:1,b,aa,aba;center:1,aa ab - - ab:bb=b,aaa=a,aab=b,baa=b,bab=ba [11m11s] # 18708 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:18,pairs:1,completionMax:7us [11m11s] 18708 ab:aaa=a,aababb=a infinite ab - - ab:aaa=a,ababb=aa [11m11s] # 18709 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:61,nodes:18,pairs:4,completionMax:18us [11m11s] 18709 ab:aaa=a,aababb=b infinite ab - - ab:aaa=a,aab=b,babb=b [11m11s] # 18710 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:306,nodes:18,pairs:9,completionMax:54us [11m11s] 18710 ab:aaa=a,aabbaa=a infinite ab - - ab:aaa=a,abba=a [11m11s] from: 18710 ab:aaa=a,aabbaa=a infinite to: 1990 ab:aaa=a,abba=a infinite a=a,b=b [11m11s] # 18711 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:0,work:221,nodes:18,pairs:11,completionMax:64us [11m11s] 18711 ab:aaa=a,aabbaa=b infinite ab - - ab:bb=b,aaa=a,aab=b,baa=b [11m11s] # 18712 solved: rounds:5,rules:4,peak:15,longest:9,steps:9,word:0,work:6413,nodes:36,pairs:142,completionMax:611us [11m11s] 18712 ab:aaa=a,aabbab=a infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbb=a [11m11s] from: 18712 ab:aaa=a,aabbab=a infinite to: 12360 ab:aaba=ab,abbb=a infinite a=a,b=b [11m11s] # 18713 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:82,nodes:18,pairs:4,completionMax:25us [11m11s] 18713 ab:aaa=a,aabbab=b infinite ab - - ab:aaa=a,aab=b,bbab=b [11m11s] # 18714 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:93,nodes:18,pairs:1,completionMax:13us [11m11s] 18714 ab:aaa=a,aabbba=a infinite ab - - ab:aaa=a,abbba=aa [11m11s] # 18715 solved: rounds:2,rules:4,peak:8,longest:6,steps:3,word:2,work:497,nodes:24,pairs:15,completionMax:90us [11m11s] 18715 ab:aaa=a,aabbba=b finite:11;idempotents:1,aa,abb,bbbb;center:1,aa b/a - - ab:bbbbb=b,ba=bbb,aab=b,aaa=a [11m11s] # 18716 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:18,pairs:1,completionMax:11us [11m11s] 18716 ab:aaa=a,aabbbb=a infinite ab - - ab:aaa=a,abbbb=aa [11m11s] # 18717 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:61,nodes:18,pairs:4,completionMax:28us [11m11s] 18717 ab:aaa=a,aabbbb=b infinite ab - - ab:aaa=a,aab=b,bbbb=b [11m11s] # 18718 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:115,nodes:10,pairs:5,completionMax:13us [11m11s] 18718 ab:aaa=a,abaaab=a infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 18718 ab:aaa=a,abaaab=a infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 18719 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:105,nodes:14,pairs:6,completionMax:17us [11m11s] 18719 ab:aaa=a,abaaab=b finite:9;idempotents:1,b,aa,aba,baa ab - - ab:bb=b,aaa=a,aab=b,bab=ab [11m11s] from: 18719 ab:aaa=a,abaaab=b finite:9;idempotents:1,b,aa,aba,baa to: 1989 ab:aaa=a,abab=b finite:9;idempotents:1,b,aa,aba,baa a=a,b=b [11m11s] # 18720 solved: rounds:2,rules:3,peak:3,longest:6,steps:4,word:0,work:251,nodes:14,pairs:5,completionMax:21us [11m11s] 18720 ab:aaa=a,abaaba=a infinite ab - - ab:aaa=a,abaa=aaba,ababa=aa [11m11s] from: 18720 ab:aaa=a,abaaba=a infinite to: 18706 ab:aaa=a,aababa=a infinite a=a,b=b [11m11s] # 18721 solved: rounds:2,rules:4,peak:8,longest:6,steps:5,word:3,work:715,nodes:24,pairs:15,completionMax:87us [11m11s] 18721 ab:aaa=a,abaaba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb b/a - - ab:bbbb=b,ba=abb,aab=b,aaa=a [11m11s] from: 18721 ab:aaa=a,abaaba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb to: 1991 ab:aaa=a,abba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb a=a,b=b [11m11s] # 18722 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m11s] 18722 ab:aaa=a,abaabb=a infinite ab - - ab:aaa=a,abaabb=a [11m11s] # 18723 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:61,nodes:14,pairs:3,completionMax:27us [11m11s] 18723 ab:aaa=a,abaabb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=a [11m11s] from: 18723 ab:aaa=a,abaabb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa to: 1993 ab:aaa=a,abbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa a=a,b=b [11m11s] # 18724 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:0,work:418,nodes:18,pairs:12,completionMax:84us [11m11s] 18724 ab:aaa=a,ababab=a infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbb=a [11m11s] from: 18724 ab:aaa=a,ababab=a infinite to: 12360 ab:aaba=ab,abbb=a infinite a=a,b=b [11m11s] # 18725 solved: rounds:2,rules:3,peak:5,longest:6,steps:6,word:1,work:242,nodes:18,pairs:8,completionMax:54us [11m11s] 18725 ab:aaa=a,ababab=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=a [11m11s] from: 18725 ab:aaa=a,ababab=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa to: 1993 ab:aaa=a,abbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa a=a,b=b [11m11s] # 18726 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:7us [11m11s] 18726 ab:aaa=a,ababba=a infinite ab - - ab:aaa=a,ababba=a [11m11s] # 18727 solved: rounds:4,rules:8,peak:12,longest:6,steps:6,word:2,work:2683,nodes:34,pairs:35,completionMax:166us [11m11s] 18727 ab:aaa=a,ababba=b finite:23;idempotents:1,aa,bbbb;center:1,aa,bbbb reversed:a/b - - ab:aaa=a,aab=b,baa=b,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m11s] # 18728 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m11s] 18728 ab:aaa=a,ababbb=a infinite ab - - ab:aaa=a,ababbb=a [11m11s] # 18729 solved: rounds:5,rules:4,peak:7,longest:6,steps:5,word:0,work:772,nodes:22,pairs:14,completionMax:60us [11m11s] 18729 ab:aaa=a,ababbb=b finite:21;idempotents:1,aa,bbb,abbba,bbbaa ab - - ab:aaa=a,aab=b,bab=abb,bbbb=b [11m11s] # 18730 solved: rounds:3,rules:4,peak:7,longest:7,steps:3,word:0,work:713,nodes:24,pairs:19,completionMax:64us [11m11s] 18730 ab:aaa=a,abbaab=a infinite ab - - ab:aaa=a,abaa=ab,abbb=a,abbaa=abb [11m11s] from: 18730 ab:aaa=a,abbaab=a infinite to: 12400 ab:aaba=ba,bbba=a infinite anti:a=a,b=b [11m11s] # 18731 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:2,work:185,nodes:20,pairs:8,completionMax:48us [11m11s] 18731 ab:aaa=a,abbaab=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=a [11m11s] from: 18731 ab:aaa=a,abbaab=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa to: 1993 ab:aaa=a,abbb=b finite:15;idempotents:1,aa,bba,bbbb,bbbbaa a=a,b=b [11m11s] # 18732 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:139,nodes:14,pairs:5,completionMax:23us [11m11s] 18732 ab:aaa=a,abbabb=a infinite ab - - ab:aaa=a,abba=aabb,abbbb=aa [11m11s] # 18733 solved: rounds:3,rules:4,peak:5,longest:6,steps:5,word:0,work:301,nodes:20,pairs:8,completionMax:45us [11m11s] 18733 ab:aaa=a,abbabb=b finite:21;idempotents:1,aa,bbb,abbba,bbbaa ab - - ab:aaa=a,aab=b,bab=abb,bbbb=b [11m11s] from: 18733 ab:aaa=a,abbabb=b finite:21;idempotents:1,aa,bbb,abbba,bbbaa to: 18729 ab:aaa=a,ababbb=b finite:21;idempotents:1,aa,bbb,abbba,bbbaa a=a,b=b [11m11s] # 18734 solved: rounds:3,rules:5,peak:7,longest:10,steps:6,word:0,work:2352,nodes:36,pairs:37,completionMax:146us [11m11s] 18734 ab:aaa=a,abbbab=a infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbba=aabbb,abbbb=aa [11m11s] # 18735 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:154,nodes:22,pairs:6,completionMax:33us [11m11s] 18735 ab:aaa=a,abbbab=b infinite ab - - ab:aaa=a,aab=b,bbbb=b,bbbab=ab [11m11s] # 18736 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:5us [11m11s] 18736 ab:aaa=a,abbbba=a infinite ab - - ab:aaa=a,abbbba=a [11m11s] # 18737 solved: rounds:3,rules:4,peak:7,longest:17,steps:19,word:13,work:1212,nodes:66,pairs:16,completionMax:104us [11m11s] 18737 ab:aaa=a,abbbba=b finite:33;idempotents:1,aa,bbbbbbbbbbbbbbb;center:1,aa,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aab=b,aaa=a [11m11s] # 18738 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:4us [11m11s] 18738 ab:aaa=a,abbbbb=a infinite ab - - ab:aaa=a,abbbbb=a [11m11s] # 18739 solved: rounds:3,rules:3,peak:4,longest:9,steps:1,word:3,work:63,nodes:22,pairs:4,completionMax:25us [11m11s] 18739 ab:aaa=a,abbbbb=b finite:27;idempotents:1,aa,bbbba,bbbbbbbb,bbbbbbbbaa b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aaa=a [11m11s] # 18740 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:77,nodes:12,pairs:3,completionMax:11us [11m11s] 18740 ab:aaa=a,baaaab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [11m11s] from: 18740 ab:aaa=a,baaaab=a infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 18741 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [11m11s] 18741 ab:aaa=a,baaaab=b infinite ab - - ab:aaa=a,baab=b [11m11s] from: 18741 ab:aaa=a,baaaab=b infinite to: 1995 ab:aaa=a,baab=b infinite a=a,b=b [11m11s] # 18742 solved: rounds:3,rules:3,peak:12,longest:10,steps:8,word:9,work:3001,nodes:36,pairs:16,completionMax:141us [11m11s] 18742 ab:aaa=a,baaabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aaa=a [11m11s] from: 18742 ab:aaa=a,baaabb=a infinite to: 1996 ab:aaa=a,babb=a infinite a=a,b=b [11m11s] # 18743 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [11m11s] 18743 ab:aaa=a,baaabb=b infinite ab - - ab:aaa=a,babb=b [11m11s] from: 18743 ab:aaa=a,baaabb=b infinite to: 1997 ab:aaa=a,babb=b infinite a=a,b=b [11m11s] # 18744 solved: rounds:4,rules:3,peak:15,longest:7,steps:10,word:0,work:5969,nodes:34,pairs:72,completionMax:391us [11m11s] 18744 ab:aaa=a,baabab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [11m11s] from: 18744 ab:aaa=a,baabab=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 18745 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:4us [11m11s] 18745 ab:aaa=a,baabab=b infinite ab - - ab:aaa=a,baabab=b [11m11s] # 18746 solved: rounds:5,rules:3,peak:30,longest:26,steps:12,word:59,work:60941,nodes:118,pairs:384,completionMax:6236us [11m11s] 18746 ab:aaa=a,baabbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=abbbbbbbbbbbb [11m11s] # 18747 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:3us [11m11s] 18747 ab:aaa=a,baabbb=b infinite ab - - ab:aaa=a,baabbb=b [11m11s] # 18748 solved: rounds:4,rules:4,peak:13,longest:7,steps:9,word:0,work:5095,nodes:44,pairs:50,completionMax:252us [11m11s] 18748 ab:aaa=a,bababb=a infinite ba - - ab:abb=bba,aba=baa,aaa=a,bbbba=aa [11m11s] # 18749 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:4us [11m11s] 18749 ab:aaa=a,bababb=b infinite ab - - ab:aaa=a,bababb=b [11m11s] # 18750 solved: rounds:3,rules:3,peak:19,longest:8,steps:7,word:0,work:8681,nodes:46,pairs:77,completionMax:528us [11m11s] 18750 ab:aaa=a,babbab=a infinite;commutative:ab:a3=a,ab4=a2;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 ab - - ab:ba=ab,aaa=a,abbbb=aa [11m11s] # 18751 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:137,nodes:20,pairs:2,completionMax:21us [11m11s] 18751 ab:aaa=a,babbab=b infinite ab - - ab:aaa=a,bbab=babb,bababb=b [11m11s] # 18752 solved: rounds:7,rules:3,peak:38,longest:69,steps:81,word:165,work:1672879,nodes:196,pairs:743,completionMax:21906us [11m11s] 18752 ab:aaa=a,babbbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=a [11m11s] # 18753 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:6us [11m11s] 18753 ab:aaa=a,babbbb=b infinite ab - - ab:aaa=a,babbbb=b [11m11s] # 18754 solved: rounds:2,rules:3,peak:5,longest:9,steps:14,word:6,work:1021,nodes:30,pairs:8,completionMax:45us [11m11s] 18754 ab:aaa=a,bbaabb=a infinite b/a - - ab:abbbbbbbb=a,bba=abb,aa=abbbb [11m11s] # 18755 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:221,nodes:22,pairs:5,completionMax:31us [11m11s] 18755 ab:aaa=a,bbaabb=b infinite ab - - ab:aaa=a,bbaab=baabb,baabbb=b [11m11s] # 18756 solved: rounds:4,rules:4,peak:19,longest:17,steps:18,word:30,work:37627,nodes:110,pairs:171,completionMax:1504us [11m11s] 18756 ab:aaa=a,bbabbb=a infinite b/a - - ab:abbbbbbbbbbbbbbb=a,bba=abbbbbbbbbbbb,aba=aabbbbbb,aaa=a [11m11s] # 18757 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1008,nodes:28,pairs:7,completionMax:52us [11m11s] 18757 ab:aaa=a,bbabbb=b infinite ab - - ab:aaa=a,bbab=babb,babbbb=b [11m11s] # 18758 solved: rounds:1,rules:2,peak:2,longest:18,steps:3,word:15,work:355,nodes:36,pairs:3,completionMax:36us [11m11s] 18758 ab:aaa=a,bbbbbb=a finite:18;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=b6,a=b6;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:12 b/a - - ab:bbbbbbbbbbbbbbbbbb=bbbbbb,a=bbbbbb [11m11s] # 18759 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:4us [11m11s] 18759 ab:aaa=a,bbbbbb=b infinite ab - - ab:aaa=a,bbbbbb=b [11m11s] # 18760 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:3us [11m11s] 18760 ab:aaa=b,aaaaaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 a/b - - ab:aaaaaa=a,b=aaa [11m11s] from: 18760 ab:aaa=b,aaaaaa=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b2;saturation:a:a5=1;noncancellative:bbbbb,1,bbb,bbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bb,b=b [11m11s] # 18761 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:37,nodes:12,pairs:0,completionMax:3us [11m11s] 18761 ab:aaa=b,aaaaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaa [11m11s] from: 18761 ab:aaa=b,aaaaaa=b finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 18762 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:22,nodes:16,pairs:0,completionMax:8us [11m11s] 18762 ab:aaa=b,aaaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [11m11s] from: 18762 ab:aaa=b,aaaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [11m11s] # 18763 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:55,nodes:16,pairs:0,completionMax:6us [11m11s] 18763 ab:aaa=b,aaaaab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 18763 ab:aaa=b,aaaaab=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 18764 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:21,nodes:16,pairs:0,completionMax:6us [11m11s] 18764 ab:aaa=b,aaaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [11m11s] from: 18764 ab:aaa=b,aaaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [11m11s] # 18765 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:54,nodes:16,pairs:0,completionMax:6us [11m11s] 18765 ab:aaa=b,aaaaba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 18765 ab:aaa=b,aaaaba=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 18766 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:33,nodes:20,pairs:0,completionMax:9us [11m11s] 18766 ab:aaa=b,aaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18766 ab:aaa=b,aaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18767 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:74,nodes:20,pairs:0,completionMax:6us [11m11s] 18767 ab:aaa=b,aaaabb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18767 ab:aaa=b,aaaabb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18768 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:20,nodes:16,pairs:0,completionMax:8us [11m11s] 18768 ab:aaa=b,aaabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaa [11m11s] from: 18768 ab:aaa=b,aaabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b5;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbb,bbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbb,b=b [11m11s] # 18769 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:2,work:53,nodes:16,pairs:0,completionMax:5us [11m11s] 18769 ab:aaa=b,aaabaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 18769 ab:aaa=b,aaabaa=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 18770 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:32,nodes:20,pairs:0,completionMax:8us [11m11s] 18770 ab:aaa=b,aaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18770 ab:aaa=b,aaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18771 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:73,nodes:20,pairs:0,completionMax:8us [11m11s] 18771 ab:aaa=b,aaabab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18771 ab:aaa=b,aaabab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18772 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:31,nodes:20,pairs:0,completionMax:6us [11m11s] 18772 ab:aaa=b,aaabba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18772 ab:aaa=b,aaabba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18773 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:72,nodes:20,pairs:0,completionMax:6us [11m11s] 18773 ab:aaa=b,aaabba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18773 ab:aaa=b,aaabba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18774 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:45,nodes:24,pairs:0,completionMax:9us [11m11s] 18774 ab:aaa=b,aaabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18774 ab:aaa=b,aaabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18775 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:94,nodes:24,pairs:0,completionMax:6us [11m11s] 18775 ab:aaa=b,aaabbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18775 ab:aaa=b,aaabbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18776 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:31,nodes:20,pairs:0,completionMax:8us [11m11s] 18776 ab:aaa=b,aabaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18776 ab:aaa=b,aabaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18777 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:72,nodes:20,pairs:0,completionMax:6us [11m11s] 18777 ab:aaa=b,aabaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18777 ab:aaa=b,aabaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18778 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:30,nodes:20,pairs:0,completionMax:12us [11m11s] 18778 ab:aaa=b,aababa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18778 ab:aaa=b,aababa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18779 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:71,nodes:20,pairs:0,completionMax:8us [11m11s] 18779 ab:aaa=b,aababa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18779 ab:aaa=b,aababa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18780 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:44,nodes:24,pairs:0,completionMax:9us [11m11s] 18780 ab:aaa=b,aababb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18780 ab:aaa=b,aababb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18781 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:93,nodes:24,pairs:0,completionMax:11us [11m11s] 18781 ab:aaa=b,aababb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18781 ab:aaa=b,aababb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18782 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:29,nodes:20,pairs:0,completionMax:9us [11m11s] 18782 ab:aaa=b,aabbaa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18782 ab:aaa=b,aabbaa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18783 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:70,nodes:20,pairs:0,completionMax:9us [11m11s] 18783 ab:aaa=b,aabbaa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18783 ab:aaa=b,aabbaa=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18784 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:43,nodes:24,pairs:0,completionMax:12us [11m11s] 18784 ab:aaa=b,aabbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18784 ab:aaa=b,aabbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18785 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:92,nodes:24,pairs:0,completionMax:7us [11m11s] 18785 ab:aaa=b,aabbab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18785 ab:aaa=b,aabbab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18786 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:42,nodes:24,pairs:0,completionMax:10us [11m11s] 18786 ab:aaa=b,aabbba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18786 ab:aaa=b,aabbba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18787 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:91,nodes:24,pairs:0,completionMax:10us [11m11s] 18787 ab:aaa=b,aabbba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18787 ab:aaa=b,aabbba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18788 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:58,nodes:28,pairs:0,completionMax:12us [11m11s] 18788 ab:aaa=b,aabbbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18788 ab:aaa=b,aabbbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18789 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:115,nodes:28,pairs:0,completionMax:14us [11m11s] 18789 ab:aaa=b,aabbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18789 ab:aaa=b,aabbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18790 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:30,nodes:20,pairs:0,completionMax:6us [11m11s] 18790 ab:aaa=b,abaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18790 ab:aaa=b,abaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18791 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:71,nodes:20,pairs:0,completionMax:7us [11m11s] 18791 ab:aaa=b,abaaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18791 ab:aaa=b,abaaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18792 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:29,nodes:20,pairs:0,completionMax:5us [11m11s] 18792 ab:aaa=b,abaaba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18792 ab:aaa=b,abaaba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18793 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:70,nodes:20,pairs:0,completionMax:5us [11m11s] 18793 ab:aaa=b,abaaba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18793 ab:aaa=b,abaaba=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18794 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:43,nodes:24,pairs:0,completionMax:12us [11m11s] 18794 ab:aaa=b,abaabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18794 ab:aaa=b,abaabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18795 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:92,nodes:24,pairs:0,completionMax:8us [11m11s] 18795 ab:aaa=b,abaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18795 ab:aaa=b,abaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18796 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:42,nodes:24,pairs:0,completionMax:12us [11m11s] 18796 ab:aaa=b,ababab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18796 ab:aaa=b,ababab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18797 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:91,nodes:24,pairs:0,completionMax:9us [11m11s] 18797 ab:aaa=b,ababab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18797 ab:aaa=b,ababab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18798 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:41,nodes:24,pairs:0,completionMax:15us [11m11s] 18798 ab:aaa=b,ababba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18798 ab:aaa=b,ababba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18799 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:90,nodes:24,pairs:0,completionMax:9us [11m11s] 18799 ab:aaa=b,ababba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18799 ab:aaa=b,ababba=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18800 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:57,nodes:28,pairs:0,completionMax:12us [11m11s] 18800 ab:aaa=b,ababbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18800 ab:aaa=b,ababbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18801 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:114,nodes:28,pairs:0,completionMax:14us [11m11s] 18801 ab:aaa=b,ababbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18801 ab:aaa=b,ababbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18802 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:41,nodes:24,pairs:0,completionMax:8us [11m11s] 18802 ab:aaa=b,abbaab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18802 ab:aaa=b,abbaab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18803 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:90,nodes:24,pairs:0,completionMax:9us [11m11s] 18803 ab:aaa=b,abbaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18803 ab:aaa=b,abbaab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18804 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:56,nodes:28,pairs:0,completionMax:11us [11m11s] 18804 ab:aaa=b,abbabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18804 ab:aaa=b,abbabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18805 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:113,nodes:28,pairs:0,completionMax:9us [11m11s] 18805 ab:aaa=b,abbabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18805 ab:aaa=b,abbabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18806 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:55,nodes:28,pairs:0,completionMax:18us [11m11s] 18806 ab:aaa=b,abbbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18806 ab:aaa=b,abbbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18807 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:112,nodes:28,pairs:0,completionMax:10us [11m11s] 18807 ab:aaa=b,abbbab=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18807 ab:aaa=b,abbbab=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18808 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:54,nodes:28,pairs:0,completionMax:15us [11m11s] 18808 ab:aaa=b,abbbba=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18808 ab:aaa=b,abbbba=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18809 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:111,nodes:28,pairs:0,completionMax:8us [11m11s] 18809 ab:aaa=b,abbbba=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18809 ab:aaa=b,abbbba=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18810 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:72,nodes:32,pairs:0,completionMax:14us [11m11s] 18810 ab:aaa=b,abbbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 a/b - - ab:aaaaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18810 ab:aaa=b,abbbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 to: 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a=b,b=bbb [11m11s] # 18811 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:137,nodes:32,pairs:0,completionMax:13us [11m11s] 18811 ab:aaa=b,abbbbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaa=aaa,b=aaa [11m11s] # 18812 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:29,nodes:20,pairs:0,completionMax:10us [11m11s] 18812 ab:aaa=b,baaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aaa [11m11s] from: 18812 ab:aaa=b,baaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18813 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:4,work:70,nodes:20,pairs:0,completionMax:8us [11m11s] 18813 ab:aaa=b,baaaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 18813 ab:aaa=b,baaaab=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 18814 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:42,nodes:24,pairs:0,completionMax:10us [11m11s] 18814 ab:aaa=b,baaabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18814 ab:aaa=b,baaabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18815 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:91,nodes:24,pairs:0,completionMax:8us [11m11s] 18815 ab:aaa=b,baaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18815 ab:aaa=b,baaabb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18816 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:41,nodes:24,pairs:0,completionMax:10us [11m11s] 18816 ab:aaa=b,baabab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aaa [11m11s] from: 18816 ab:aaa=b,baabab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbb,b=b [11m11s] # 18817 solved: rounds:0,rules:2,peak:2,longest:12,steps:3,word:6,work:90,nodes:24,pairs:0,completionMax:8us [11m11s] 18817 ab:aaa=b,baabab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18817 ab:aaa=b,baabab=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 18818 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:56,nodes:28,pairs:0,completionMax:7us [11m11s] 18818 ab:aaa=b,baabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18818 ab:aaa=b,baabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18819 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:113,nodes:28,pairs:0,completionMax:14us [11m11s] 18819 ab:aaa=b,baabbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18819 ab:aaa=b,baabbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18820 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:55,nodes:28,pairs:0,completionMax:15us [11m11s] 18820 ab:aaa=b,bababb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18820 ab:aaa=b,bababb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18821 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:112,nodes:28,pairs:0,completionMax:10us [11m11s] 18821 ab:aaa=b,bababb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18821 ab:aaa=b,bababb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18822 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:54,nodes:28,pairs:0,completionMax:6us [11m11s] 18822 ab:aaa=b,babbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18822 ab:aaa=b,babbab=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18823 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:111,nodes:28,pairs:0,completionMax:9us [11m11s] 18823 ab:aaa=b,babbab=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18823 ab:aaa=b,babbab=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18824 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:71,nodes:32,pairs:0,completionMax:16us [11m11s] 18824 ab:aaa=b,babbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 a/b - - ab:aaaaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18824 ab:aaa=b,babbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 to: 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a=b,b=bbb [11m11s] # 18825 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:136,nodes:32,pairs:0,completionMax:15us [11m11s] 18825 ab:aaa=b,babbbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18825 ab:aaa=b,babbbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 to: 18811 ab:aaa=b,abbbbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 a=a,b=aaa [11m11s] # 18826 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:54,nodes:28,pairs:0,completionMax:8us [11m11s] 18826 ab:aaa=b,bbaabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18826 ab:aaa=b,bbaabb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b9;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbb,bbbbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbbbb,b=b [11m11s] # 18827 solved: rounds:0,rules:2,peak:2,longest:14,steps:4,word:8,work:111,nodes:28,pairs:0,completionMax:8us [11m11s] 18827 ab:aaa=b,bbaabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18827 ab:aaa=b,bbaabb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 15532 ab:aaa=bb,abbbb=b finite:14;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a3,b=a7;saturation:a:a11=1;noncancellative:aaaaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:11 a=a,b=aaa [11m11s] # 18828 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:70,nodes:32,pairs:0,completionMax:9us [11m11s] 18828 ab:aaa=b,bbabbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 a/b - - ab:aaaaaaaaaaaaaaaa=a,b=aaa [11m11s] from: 18828 ab:aaa=b,bbabbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 to: 4648 ab:aaaa=b,bbbb=a finite:16;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:b16=b,a=b4;saturation:a:a15=1;noncancellative:bbbbbbbbbbbbbbb,1,bbbbb,bbbbb;smith:15 a=b,b=bbb [11m11s] # 18829 solved: rounds:0,rules:2,peak:2,longest:16,steps:5,word:10,work:135,nodes:32,pairs:0,completionMax:14us [11m11s] 18829 ab:aaa=b,bbabbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 18829 ab:aaa=b,bbabbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 to: 18811 ab:aaa=b,abbbbb=b finite:16;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=a3,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaaaa,aa,aaaa,aaaaaa;smith:13 a=a,b=aaa [11m11s] # 18830 solved: rounds:0,rules:2,peak:2,longest:18,steps:6,word:12,work:87,nodes:36,pairs:0,completionMax:16us [11m11s] 18830 ab:aaa=b,bbbbbb=a finite:18;idempotents:1,aaaaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:b18=b,a=b6;saturation:a:a17=1;noncancellative:bbbbbbbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:17 a/b - - ab:aaaaaaaaaaaaaaaaaa=a,b=aaa [11m11s] # 18831 solved: rounds:0,rules:2,peak:2,longest:18,steps:6,word:12,work:160,nodes:36,pairs:0,completionMax:12us [11m11s] 18831 ab:aaa=b,bbbbbb=b finite:18;idempotents:1,aaaaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=a3,b=a3;saturation:a:a15=1;noncancellative:aaaaaaaaaaaaaaa,1,aaaa,aaaa;smith:15 a/b - - ab:aaaaaaaaaaaaaaaaaa=aaa,b=aaa [11m11s] # 18832 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:3,work:35,nodes:12,pairs:1,completionMax:11us [11m11s] 18832 ab:aab=a,aaaaaa=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] # 18833 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:16,pairs:1,completionMax:9us [11m11s] 18833 ab:aab=a,aaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaaaa [11m11s] from: 18833 ab:aab=a,aaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbbb,b=b [11m11s] # 18834 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:31,nodes:8,pairs:1,completionMax:10us [11m11s] 18834 ab:aab=a,aaaaab=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18834 ab:aab=a,aaaaab=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18835 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:12,pairs:1,completionMax:7us [11m11s] 18835 ab:aab=a,aaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 18835 ab:aab=a,aaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 18836 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:30,nodes:8,pairs:1,completionMax:6us [11m11s] 18836 ab:aab=a,aaaaba=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18836 ab:aab=a,aaaaba=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18837 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:12,pairs:1,completionMax:6us [11m11s] 18837 ab:aab=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 18837 ab:aab=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 18838 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:5us [11m11s] 18838 ab:aab=a,aaaabb=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18838 ab:aab=a,aaaabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18839 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:8,pairs:1,completionMax:7us [11m11s] 18839 ab:aab=a,aaaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18839 ab:aab=a,aaaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18840 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:29,nodes:8,pairs:1,completionMax:12us [11m11s] 18840 ab:aab=a,aaabaa=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18840 ab:aab=a,aaabaa=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18841 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:12,pairs:1,completionMax:6us [11m11s] 18841 ab:aab=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 18841 ab:aab=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 18842 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:6,pairs:2,completionMax:5us [11m11s] 18842 ab:aab=a,aaabab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18842 ab:aab=a,aaabab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18843 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:9us [11m11s] 18843 ab:aab=a,aaabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18843 ab:aab=a,aaabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18844 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:2,completionMax:5us [11m11s] 18844 ab:aab=a,aaabba=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18844 ab:aab=a,aaabba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18845 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:6us [11m11s] 18845 ab:aab=a,aaabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18845 ab:aab=a,aaabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18846 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:1,completionMax:4us [11m11s] 18846 ab:aab=a,aaabbb=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18846 ab:aab=a,aaabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18847 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:5us [11m11s] 18847 ab:aab=a,aaabbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18847 ab:aab=a,aaabbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18848 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:28,nodes:8,pairs:1,completionMax:10us [11m11s] 18848 ab:aab=a,aabaaa=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18848 ab:aab=a,aabaaa=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18849 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:12,pairs:1,completionMax:7us [11m11s] 18849 ab:aab=a,aabaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 18849 ab:aab=a,aabaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 18850 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:2,completionMax:6us [11m11s] 18850 ab:aab=a,aabaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18850 ab:aab=a,aabaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18851 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:5us [11m11s] 18851 ab:aab=a,aabaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18851 ab:aab=a,aabaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18852 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:6,pairs:2,completionMax:6us [11m11s] 18852 ab:aab=a,aababa=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18852 ab:aab=a,aababa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18853 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:1,completionMax:5us [11m11s] 18853 ab:aab=a,aababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18853 ab:aab=a,aababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18854 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:3us [11m11s] 18854 ab:aab=a,aababb=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18854 ab:aab=a,aababb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18855 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:5us [11m11s] 18855 ab:aab=a,aababb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18855 ab:aab=a,aababb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18856 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:233,nodes:10,pairs:13,completionMax:36us [11m11s] 18856 ab:aab=a,aabbaa=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18856 ab:aab=a,aabbaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18857 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:2,work:373,nodes:22,pairs:17,completionMax:60us [11m11s] 18857 ab:aab=a,aabbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18857 ab:aab=a,aabbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18858 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:80,nodes:10,pairs:8,completionMax:21us [11m11s] 18858 ab:aab=a,aabbab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18858 ab:aab=a,aabbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18859 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:9,completionMax:32us [11m11s] 18859 ab:aab=a,aabbab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18859 ab:aab=a,aabbab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18860 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:195,nodes:10,pairs:7,completionMax:52us [11m11s] 18860 ab:aab=a,aabbba=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18860 ab:aab=a,aabbba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18861 solved: rounds:3,rules:2,peak:9,longest:4,steps:4,word:0,work:395,nodes:18,pairs:19,completionMax:59us [11m11s] 18861 ab:aab=a,aabbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18861 ab:aab=a,aabbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18862 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:24,nodes:10,pairs:3,completionMax:11us [11m11s] 18862 ab:aab=a,aabbbb=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18862 ab:aab=a,aabbbb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18863 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:32,nodes:10,pairs:7,completionMax:12us [11m11s] 18863 ab:aab=a,aabbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18863 ab:aab=a,aabbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18864 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:1,work:376,nodes:18,pairs:15,completionMax:44us [11m11s] 18864 ab:aab=a,abaaaa=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18864 ab:aab=a,abaaaa=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18865 solved: rounds:2,rules:2,peak:6,longest:12,steps:3,word:6,work:982,nodes:42,pairs:21,completionMax:84us [11m11s] 18865 ab:aab=a,abaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 18865 ab:aab=a,abaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 18866 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:236,nodes:10,pairs:13,completionMax:33us [11m11s] 18866 ab:aab=a,abaaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18866 ab:aab=a,abaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18867 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:2,work:376,nodes:22,pairs:17,completionMax:53us [11m11s] 18867 ab:aab=a,abaaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18867 ab:aab=a,abaaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18868 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:235,nodes:10,pairs:13,completionMax:32us [11m11s] 18868 ab:aab=a,abaaba=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18868 ab:aab=a,abaaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18869 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:2,work:375,nodes:22,pairs:17,completionMax:51us [11m11s] 18869 ab:aab=a,abaaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18869 ab:aab=a,abaaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18870 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:82,nodes:10,pairs:8,completionMax:17us [11m11s] 18870 ab:aab=a,abaabb=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18870 ab:aab=a,abaabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18871 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:9,completionMax:20us [11m11s] 18871 ab:aab=a,abaabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18871 ab:aab=a,abaabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18872 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:545,nodes:14,pairs:16,completionMax:61us [11m11s] 18872 ab:aab=a,ababaa=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18872 ab:aab=a,ababaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18873 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:2,work:450,nodes:26,pairs:18,completionMax:67us [11m11s] 18873 ab:aab=a,ababaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18873 ab:aab=a,ababaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18874 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:109,nodes:14,pairs:10,completionMax:20us [11m11s] 18874 ab:aab=a,ababab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18874 ab:aab=a,ababab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18875 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:122,nodes:16,pairs:12,completionMax:29us [11m11s] 18875 ab:aab=a,ababab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18875 ab:aab=a,ababab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18876 solved: rounds:3,rules:2,peak:3,longest:6,steps:3,word:0,work:119,nodes:14,pairs:7,completionMax:22us [11m11s] 18876 ab:aab=a,ababba=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18876 ab:aab=a,ababba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18877 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:574,nodes:22,pairs:22,completionMax:77us [11m11s] 18877 ab:aab=a,ababba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18877 ab:aab=a,ababba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18878 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:51,nodes:14,pairs:3,completionMax:15us [11m11s] 18878 ab:aab=a,ababbb=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18878 ab:aab=a,ababbb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18879 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:37,nodes:14,pairs:7,completionMax:13us [11m11s] 18879 ab:aab=a,ababbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18879 ab:aab=a,ababbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18880 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:1031,nodes:20,pairs:47,completionMax:99us [11m11s] 18880 ab:aab=a,abbaaa=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18880 ab:aab=a,abbaaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18881 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:1,work:851,nodes:32,pairs:26,completionMax:72us [11m11s] 18881 ab:aab=a,abbaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18881 ab:aab=a,abbaaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18882 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:198,nodes:10,pairs:7,completionMax:23us [11m11s] 18882 ab:aab=a,abbaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18882 ab:aab=a,abbaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18883 solved: rounds:3,rules:2,peak:9,longest:4,steps:4,word:0,work:398,nodes:18,pairs:19,completionMax:40us [11m11s] 18883 ab:aab=a,abbaab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18883 ab:aab=a,abbaab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18884 solved: rounds:4,rules:2,peak:9,longest:6,steps:4,word:0,work:940,nodes:18,pairs:31,completionMax:64us [11m11s] 18884 ab:aab=a,abbaba=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18884 ab:aab=a,abbaba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18885 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:499,nodes:22,pairs:22,completionMax:45us [11m11s] 18885 ab:aab=a,abbaba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18885 ab:aab=a,abbaba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18886 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:1,work:232,nodes:18,pairs:12,completionMax:25us [11m11s] 18886 ab:aab=a,abbabb=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18886 ab:aab=a,abbabb=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18887 solved: rounds:2,rules:2,peak:4,longest:6,steps:8,word:0,work:218,nodes:20,pairs:12,completionMax:21us [11m11s] 18887 ab:aab=a,abbabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18887 ab:aab=a,abbabb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18888 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:683,nodes:16,pairs:29,completionMax:53us [11m11s] 18888 ab:aab=a,abbbaa=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 18888 ab:aab=a,abbbaa=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 18889 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:879,nodes:28,pairs:35,completionMax:76us [11m11s] 18889 ab:aab=a,abbbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18889 ab:aab=a,abbbaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18890 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:1,work:516,nodes:16,pairs:11,completionMax:41us [11m11s] 18890 ab:aab=a,abbbab=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18890 ab:aab=a,abbbab=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18891 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:580,nodes:24,pairs:19,completionMax:63us [11m11s] 18891 ab:aab=a,abbbab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18891 ab:aab=a,abbbab=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18892 solved: rounds:5,rules:2,peak:7,longest:6,steps:5,word:1,work:600,nodes:18,pairs:10,completionMax:43us [11m11s] 18892 ab:aab=a,abbbba=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 18892 ab:aab=a,abbbba=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 18893 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:1016,nodes:26,pairs:14,completionMax:57us [11m11s] 18893 ab:aab=a,abbbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 18893 ab:aab=a,abbbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 18894 solved: rounds:5,rules:2,peak:3,longest:6,steps:1,word:3,work:38,nodes:14,pairs:5,completionMax:15us [11m11s] 18894 ab:aab=a,abbbbb=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 18894 ab:aab=a,abbbbb=a infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 18895 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:1,work:74,nodes:14,pairs:10,completionMax:17us [11m11s] 18895 ab:aab=a,abbbbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 18895 ab:aab=a,abbbbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 18896 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:3,work:359,nodes:22,pairs:15,completionMax:35us [11m11s] 18896 ab:aab=a,baaaaa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 18896 ab:aab=a,baaaaa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 18897 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:3,work:165,nodes:22,pairs:5,completionMax:29us [11m11s] 18897 ab:aab=a,baaaaa=b finite:11;idempotents:1,ba,aaaaa a/b - - ab:aaaaaa=a,baaaaa=b,ab=aaaaa,bb=baaaa [11m11s] # 18898 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:399,nodes:14,pairs:25,completionMax:40us [11m11s] 18898 ab:aab=a,baaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18898 ab:aab=a,baaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18899 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:1,work:133,nodes:14,pairs:5,completionMax:20us [11m11s] 18899 ab:aab=a,baaaab=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18899 ab:aab=a,baaaab=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18900 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:398,nodes:14,pairs:25,completionMax:46us [11m11s] 18900 ab:aab=a,baaaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18900 ab:aab=a,baaaba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18901 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:1,work:132,nodes:14,pairs:5,completionMax:25us [11m11s] 18901 ab:aab=a,baaaba=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18901 ab:aab=a,baaaba=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18902 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:95,nodes:8,pairs:5,completionMax:17us [11m11s] 18902 ab:aab=a,baaabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18902 ab:aab=a,baaabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18903 solved: rounds:2,rules:4,peak:4,longest:3,steps:2,word:0,work:56,nodes:8,pairs:4,completionMax:11us [11m11s] 18903 ab:aab=a,baaabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18903 ab:aab=a,baaabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18904 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:397,nodes:14,pairs:25,completionMax:58us [11m11s] 18904 ab:aab=a,baabaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18904 ab:aab=a,baabaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18905 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:1,work:131,nodes:14,pairs:5,completionMax:24us [11m11s] 18905 ab:aab=a,baabaa=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18905 ab:aab=a,baabaa=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18906 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:94,nodes:8,pairs:5,completionMax:16us [11m11s] 18906 ab:aab=a,baabab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18906 ab:aab=a,baabab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18907 solved: rounds:2,rules:4,peak:4,longest:3,steps:2,word:0,work:55,nodes:8,pairs:4,completionMax:12us [11m11s] 18907 ab:aab=a,baabab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18907 ab:aab=a,baabab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18908 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:328,nodes:14,pairs:23,completionMax:48us [11m11s] 18908 ab:aab=a,baabba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18908 ab:aab=a,baabba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18909 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:0,work:159,nodes:14,pairs:11,completionMax:31us [11m11s] 18909 ab:aab=a,baabba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18909 ab:aab=a,baabba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18910 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:164,nodes:16,pairs:9,completionMax:33us [11m11s] 18910 ab:aab=a,baabbb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 18910 ab:aab=a,baabbb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 18911 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:58,nodes:12,pairs:4,completionMax:10us [11m11s] 18911 ab:aab=a,baabbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18911 ab:aab=a,baabbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18912 solved: rounds:3,rules:3,peak:7,longest:6,steps:3,word:0,work:540,nodes:18,pairs:30,completionMax:65us [11m11s] 18912 ab:aab=a,babaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18912 ab:aab=a,babaaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18913 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:1,work:182,nodes:18,pairs:7,completionMax:30us [11m11s] 18913 ab:aab=a,babaaa=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18913 ab:aab=a,babaaa=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18914 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:330,nodes:14,pairs:23,completionMax:41us [11m11s] 18914 ab:aab=a,babaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18914 ab:aab=a,babaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18915 solved: rounds:2,rules:4,peak:6,longest:4,steps:2,word:0,work:161,nodes:14,pairs:11,completionMax:28us [11m11s] 18915 ab:aab=a,babaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18915 ab:aab=a,babaab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18916 solved: rounds:2,rules:3,peak:8,longest:6,steps:4,word:0,work:599,nodes:22,pairs:13,completionMax:64us [11m11s] 18916 ab:aab=a,bababa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18916 ab:aab=a,bababa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18917 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:0,work:192,nodes:18,pairs:13,completionMax:34us [11m11s] 18917 ab:aab=a,bababa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18917 ab:aab=a,bababa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18918 solved: rounds:3,rules:3,peak:4,longest:6,steps:3,word:1,work:230,nodes:20,pairs:11,completionMax:35us [11m11s] 18918 ab:aab=a,bababb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 18918 ab:aab=a,bababb=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 18919 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:77,nodes:16,pairs:5,completionMax:14us [11m11s] 18919 ab:aab=a,bababb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18919 ab:aab=a,bababb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18920 solved: rounds:3,rules:3,peak:7,longest:6,steps:6,word:0,work:664,nodes:22,pairs:34,completionMax:93us [11m11s] 18920 ab:aab=a,babbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 18920 ab:aab=a,babbaa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 18921 solved: rounds:3,rules:4,peak:9,longest:6,steps:3,word:0,work:579,nodes:22,pairs:30,completionMax:80us [11m11s] 18921 ab:aab=a,babbaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18921 ab:aab=a,babbaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18922 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:1,work:741,nodes:22,pairs:30,completionMax:82us [11m11s] 18922 ab:aab=a,babbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 18922 ab:aab=a,babbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 18923 solved: rounds:2,rules:4,peak:7,longest:6,steps:4,word:0,work:319,nodes:24,pairs:11,completionMax:35us [11m11s] 18923 ab:aab=a,babbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18923 ab:aab=a,babbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18924 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:1,work:675,nodes:22,pairs:14,completionMax:72us [11m11s] 18924 ab:aab=a,babbba=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 18924 ab:aab=a,babbba=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 18925 solved: rounds:3,rules:4,peak:11,longest:6,steps:4,word:0,work:753,nodes:26,pairs:33,completionMax:81us [11m11s] 18925 ab:aab=a,babbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18925 ab:aab=a,babbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18926 solved: rounds:3,rules:3,peak:6,longest:7,steps:3,word:3,work:464,nodes:26,pairs:14,completionMax:60us [11m11s] 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] # 18927 solved: rounds:4,rules:4,peak:5,longest:6,steps:2,word:1,work:173,nodes:20,pairs:12,completionMax:34us [11m11s] 18927 ab:aab=a,babbbb=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18927 ab:aab=a,babbbb=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18928 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:944,nodes:26,pairs:31,completionMax:84us [11m11s] 18928 ab:aab=a,bbaaaa=a infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 18928 ab:aab=a,bbaaaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 18929 solved: rounds:3,rules:4,peak:10,longest:6,steps:3,word:1,work:993,nodes:32,pairs:32,completionMax:113us [11m11s] 18929 ab:aab=a,bbaaaa=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18929 ab:aab=a,bbaaaa=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18930 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:324,nodes:16,pairs:17,completionMax:42us [11m11s] 18930 ab:aab=a,bbaaab=a infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 18930 ab:aab=a,bbaaab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 18931 solved: rounds:3,rules:4,peak:9,longest:4,steps:3,word:0,work:542,nodes:18,pairs:28,completionMax:48us [11m11s] 18931 ab:aab=a,bbaaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18931 ab:aab=a,bbaaab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18932 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:323,nodes:16,pairs:17,completionMax:33us [11m11s] 18932 ab:aab=a,bbaaba=a infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 18932 ab:aab=a,bbaaba=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 18933 solved: rounds:3,rules:4,peak:9,longest:4,steps:3,word:0,work:541,nodes:18,pairs:28,completionMax:58us [11m11s] 18933 ab:aab=a,bbaaba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18933 ab:aab=a,bbaaba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18934 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:1,work:354,nodes:18,pairs:16,completionMax:60us [11m11s] 18934 ab:aab=a,bbaabb=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 18934 ab:aab=a,bbaabb=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 18935 solved: rounds:4,rules:4,peak:6,longest:4,steps:2,word:0,work:314,nodes:16,pairs:19,completionMax:53us [11m11s] 18935 ab:aab=a,bbaabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18935 ab:aab=a,bbaabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18936 solved: rounds:3,rules:3,peak:7,longest:6,steps:5,word:0,work:631,nodes:26,pairs:26,completionMax:68us [11m11s] 18936 ab:aab=a,bbabaa=a infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 18936 ab:aab=a,bbabaa=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 18937 solved: rounds:3,rules:4,peak:9,longest:6,steps:3,word:0,work:584,nodes:22,pairs:31,completionMax:73us [11m11s] 18937 ab:aab=a,bbabaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18937 ab:aab=a,bbabaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18938 solved: rounds:3,rules:3,peak:9,longest:6,steps:5,word:1,work:1029,nodes:30,pairs:29,completionMax:143us [11m11s] 18938 ab:aab=a,bbabab=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 18938 ab:aab=a,bbabab=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 18939 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:398,nodes:24,pairs:21,completionMax:60us [11m11s] 18939 ab:aab=a,bbabab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18939 ab:aab=a,bbabab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18940 solved: rounds:4,rules:3,peak:10,longest:6,steps:4,word:1,work:1706,nodes:34,pairs:35,completionMax:174us [11m11s] 18940 ab:aab=a,bbabba=a infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 18940 ab:aab=a,bbabba=a infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 18941 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:290,nodes:24,pairs:21,completionMax:39us [11m11s] 18941 ab:aab=a,bbabba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18941 ab:aab=a,bbabba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18942 solved: rounds:3,rules:3,peak:9,longest:7,steps:6,word:4,work:1180,nodes:32,pairs:28,completionMax:109us [11m11s] 18942 ab:aab=a,bbabbb=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bba=aaaa [11m11s] # 18943 solved: rounds:3,rules:4,peak:10,longest:6,steps:4,word:1,work:1375,nodes:30,pairs:45,completionMax:215us [11m11s] 18943 ab:aab=a,bbabbb=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18943 ab:aab=a,bbabbb=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18944 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:0,work:1255,nodes:26,pairs:26,completionMax:86us [11m11s] 18944 ab:aab=a,bbbaaa=a infinite ab - - ab:aa=a,ab=a,bbba=a [11m11s] from: 18944 ab:aab=a,bbbaaa=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m11s] # 18945 solved: rounds:3,rules:4,peak:10,longest:6,steps:3,word:0,work:910,nodes:30,pairs:52,completionMax:178us [11m11s] 18945 ab:aab=a,bbbaaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18945 ab:aab=a,bbbaaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18946 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:1,work:345,nodes:20,pairs:6,completionMax:42us [11m11s] 18946 ab:aab=a,bbbaab=a infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 18946 ab:aab=a,bbbaab=a infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 18947 solved: rounds:3,rules:4,peak:10,longest:4,steps:3,word:0,work:613,nodes:18,pairs:30,completionMax:76us [11m11s] 18947 ab:aab=a,bbbaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18947 ab:aab=a,bbbaab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18948 solved: rounds:4,rules:3,peak:9,longest:6,steps:3,word:1,work:783,nodes:32,pairs:10,completionMax:82us [11m11s] 18948 ab:aab=a,bbbaba=a infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 18948 ab:aab=a,bbbaba=a infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 18949 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:0,work:476,nodes:22,pairs:34,completionMax:75us [11m11s] 18949 ab:aab=a,bbbaba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18949 ab:aab=a,bbbaba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18950 solved: rounds:2,rules:3,peak:8,longest:6,steps:4,word:3,work:902,nodes:34,pairs:22,completionMax:100us [11m11s] 18950 ab:aab=a,bbbabb=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbba=aaa [11m11s] # 18951 solved: rounds:4,rules:4,peak:7,longest:6,steps:5,word:1,work:824,nodes:30,pairs:39,completionMax:121us [11m11s] 18951 ab:aab=a,bbbabb=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18951 ab:aab=a,bbbabb=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18952 solved: rounds:3,rules:3,peak:9,longest:6,steps:4,word:1,work:1027,nodes:28,pairs:19,completionMax:84us [11m11s] 18952 ab:aab=a,bbbbaa=a infinite a/b - - ab:aaaa=a,ab=aaa,bbbba=aaa [11m11s] # 18953 solved: rounds:3,rules:4,peak:10,longest:6,steps:4,word:0,work:944,nodes:26,pairs:56,completionMax:104us [11m11s] 18953 ab:aab=a,bbbbaa=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m11s] from: 18953 ab:aab=a,bbbbaa=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 18954 solved: rounds:3,rules:3,peak:10,longest:6,steps:4,word:3,work:1413,nodes:34,pairs:33,completionMax:141us [11m11s] 18954 ab:aab=a,bbbbab=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbbba=aa [11m11s] # 18955 solved: rounds:4,rules:4,peak:11,longest:6,steps:5,word:2,work:1378,nodes:28,pairs:38,completionMax:146us [11m11s] 18955 ab:aab=a,bbbbab=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18955 ab:aab=a,bbbbab=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18956 solved: rounds:5,rules:3,peak:8,longest:7,steps:5,word:3,work:953,nodes:32,pairs:15,completionMax:108us [11m11s] 18956 ab:aab=a,bbbbba=a infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbbbba=a [11m11s] # 18957 solved: rounds:3,rules:4,peak:14,longest:6,steps:5,word:1,work:1891,nodes:26,pairs:30,completionMax:201us [11m11s] 18957 ab:aab=a,bbbbba=b finite:7;idempotents:1,ba,aaa a/b - - ab:aaaa=a,baaa=b,ab=aaa,bb=baa [11m11s] from: 18957 ab:aab=a,bbbbba=b finite:7;idempotents:1,ba,aaa to: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa a=a,b=b [11m11s] # 18958 solved: rounds:1,rules:2,peak:2,longest:13,steps:1,word:5,work:179,nodes:26,pairs:2,completionMax:18us [11m11s] 18958 ab:aab=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbbb=bbbbbb,a=bbbbbb [11m11s] # 18959 solved: rounds:6,rules:3,peak:4,longest:6,steps:5,word:3,work:168,nodes:24,pairs:6,completionMax:61us [11m11s] 18959 ab:aab=a,bbbbbb=b finite:36;idempotents:1,ba,bbaa,aaaaa,bbbbb,bbbaaa,bbbbaaaa,bbbbbaaaaa a/b - - ab:aaaaaa=a,ab=aaaaa,bbbbbb=b [11m11s] # 18960 solved: rounds:1,rules:2,peak:3,longest:6,steps:3,word:0,work:51,nodes:12,pairs:2,completionMax:8us [11m11s] 18960 ab:aab=b,aaaaaa=a infinite ab - - ab:ab=b,aaaaaa=a [11m11s] # 18961 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:5,work:193,nodes:16,pairs:1,completionMax:8us [11m11s] 18961 ab:aab=b,aaaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaaaaa [11m11s] from: 18961 ab:aab=b,aaaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaaaaa [11m11s] # 18962 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:6,pairs:2,completionMax:6us [11m11s] 18962 ab:aab=b,aaaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m11s] from: 18962 ab:aab=b,aaaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m11s] # 18963 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:1us [11m11s] 18963 ab:aab=b,aaaaab=b infinite ab - - ab:ab=b [11m11s] from: 18963 ab:aab=b,aaaaab=b infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [11m11s] # 18964 solved: rounds:1,rules:4,peak:4,longest:3,steps:2,word:0,work:43,nodes:8,pairs:2,completionMax:7us [11m11s] 18964 ab:aab=b,aaaaba=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [11m11s] from: 18964 ab:aab=b,aaaaba=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [11m11s] # 18965 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m11s] 18965 ab:aab=b,aaaaba=b infinite ab - - ab:ba=b,aab=b [11m11s] from: 18965 ab:aab=b,aaaaba=b infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [11m11s] # 18966 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:27,nodes:10,pairs:2,completionMax:6us [11m11s] 18966 ab:aab=b,aaaabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 18966 ab:aab=b,aaaabb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 18967 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:3us [11m11s] 18967 ab:aab=b,aaaabb=b infinite ab - - ab:bb=b,aab=b [11m11s] from: 18967 ab:aab=b,aaaabb=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 18968 solved: rounds:3,rules:4,peak:8,longest:4,steps:2,word:0,work:372,nodes:14,pairs:18,completionMax:49us [11m11s] 18968 ab:aab=b,aaabaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [11m11s] from: 18968 ab:aab=b,aaabaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [11m11s] # 18969 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:1,work:89,nodes:12,pairs:7,completionMax:15us [11m11s] 18969 ab:aab=b,aaabaa=b infinite a/b - - ab:baaaa=b,ab=baa [11m11s] from: 18969 ab:aab=b,aaabaa=b infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [11m11s] # 18970 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:114,nodes:14,pairs:13,completionMax:30us [11m11s] 18970 ab:aab=b,aaabab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 18970 ab:aab=b,aaabab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 18971 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:94,nodes:14,pairs:6,completionMax:18us [11m11s] 18971 ab:aab=b,aaabab=b infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 18971 ab:aab=b,aaabab=b infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 18972 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:1,work:210,nodes:16,pairs:7,completionMax:30us [11m11s] 18972 ab:aab=b,aaabba=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 18972 ab:aab=b,aaabba=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 18973 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:473,nodes:22,pairs:11,completionMax:60us [11m11s] 18973 ab:aab=b,aaabba=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 18973 ab:aab=b,aaabba=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 18974 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:59,nodes:14,pairs:7,completionMax:15us [11m11s] 18974 ab:aab=b,aaabbb=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbb=aa [11m11s] from: 18974 ab:aab=b,aaabbb=a infinite to: 2066 ab:aab=b,abbb=a infinite a=a,b=b [11m11s] # 18975 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:28,nodes:12,pairs:3,completionMax:10us [11m11s] 18975 ab:aab=b,aaabbb=b infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 18975 ab:aab=b,aaabbb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 18976 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:112,nodes:12,pairs:7,completionMax:19us [11m11s] 18976 ab:aab=b,aabaaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [11m11s] from: 18976 ab:aab=b,aabaaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [11m11s] # 18977 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:38,nodes:12,pairs:2,completionMax:6us [11m11s] 18977 ab:aab=b,aabaaa=b infinite ab - - ab:aab=b,bab=bb,baaa=b [11m11s] from: 18977 ab:aab=b,aabaaa=b infinite to: 2069 ab:aab=b,baaa=b infinite a=a,b=b [11m11s] # 18978 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:26,nodes:10,pairs:2,completionMax:6us [11m11s] 18978 ab:aab=b,aabaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 18978 ab:aab=b,aabaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 18979 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:1us [11m11s] 18979 ab:aab=b,aabaab=b infinite ab - - ab:bb=b,aab=b [11m11s] from: 18979 ab:aab=b,aabaab=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 18980 solved: rounds:3,rules:4,peak:8,longest:5,steps:8,word:1,work:881,nodes:20,pairs:18,completionMax:73us [11m11s] 18980 ab:aab=b,aababa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 18980 ab:aab=b,aababa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 18981 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:0,work:233,nodes:14,pairs:13,completionMax:30us [11m11s] 18981 ab:aab=b,aababa=b infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [11m11s] from: 18981 ab:aab=b,aababa=b infinite to: 2073 ab:aab=b,baba=b infinite a=a,b=b [11m11s] # 18982 solved: rounds:3,rules:4,peak:7,longest:4,steps:5,word:0,work:474,nodes:20,pairs:10,completionMax:40us [11m11s] 18982 ab:aab=b,aababb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 18982 ab:aab=b,aababb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 18983 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:1us [11m11s] 18983 ab:aab=b,aababb=b infinite ab - - ab:aab=b,babb=b [11m11s] from: 18983 ab:aab=b,aababb=b infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [11m11s] # 18984 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:2,work:219,nodes:16,pairs:7,completionMax:37us [11m11s] 18984 ab:aab=b,aabbaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 18984 ab:aab=b,aabbaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 18985 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:167,nodes:12,pairs:6,completionMax:31us [11m11s] 18985 ab:aab=b,aabbaa=b infinite ab - - ab:bb=b,aab=b,baa=b [11m11s] from: 18985 ab:aab=b,aabbaa=b infinite to: 2077 ab:aab=b,bbaa=b infinite a=a,b=b [11m11s] # 18986 solved: rounds:4,rules:4,peak:13,longest:5,steps:4,word:0,work:1507,nodes:26,pairs:47,completionMax:163us [11m11s] 18986 ab:aab=b,aabbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 18986 ab:aab=b,aabbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 18987 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:4us [11m11s] 18987 ab:aab=b,aabbab=b infinite ab - - ab:aab=b,bbab=b [11m11s] from: 18987 ab:aab=b,aabbab=b infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [11m11s] # 18988 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:52,nodes:12,pairs:2,completionMax:11us [11m11s] 18988 ab:aab=b,aabbba=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [11m11s] from: 18988 ab:aab=b,aabbba=a infinite to: 2080 ab:aab=b,bbba=a infinite a=a,b=b [11m11s] # 18989 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:309,nodes:18,pairs:8,completionMax:57us [11m11s] 18989 ab:aab=b,aabbba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 18989 ab:aab=b,aabbba=b infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 18990 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:36,nodes:18,pairs:2,completionMax:14us [11m11s] 18990 ab:aab=b,aabbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 18990 ab:aab=b,aabbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 18991 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:4us [11m11s] 18991 ab:aab=b,aabbbb=b infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 18991 ab:aab=b,aabbbb=b infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 18992 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:0,work:441,nodes:22,pairs:25,completionMax:48us [11m11s] 18992 ab:aab=b,abaaaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [11m11s] from: 18992 ab:aab=b,abaaaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [11m11s] # 18993 solved: rounds:2,rules:2,peak:3,longest:9,steps:11,word:3,work:215,nodes:20,pairs:7,completionMax:15us [11m11s] 18993 ab:aab=b,abaaaa=b infinite a/b - - ab:baaaaaaaa=b,ab=baaaa [11m11s] # 18994 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:2,work:116,nodes:14,pairs:13,completionMax:23us [11m11s] 18994 ab:aab=b,abaaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 18994 ab:aab=b,abaaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 18995 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:96,nodes:14,pairs:6,completionMax:12us [11m11s] 18995 ab:aab=b,abaaab=b infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 18995 ab:aab=b,abaaab=b infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 18996 solved: rounds:2,rules:4,peak:6,longest:5,steps:2,word:1,work:211,nodes:16,pairs:7,completionMax:34us [11m11s] 18996 ab:aab=b,abaaba=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 18996 ab:aab=b,abaaba=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 18997 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:474,nodes:22,pairs:11,completionMax:57us [11m11s] 18997 ab:aab=b,abaaba=b infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 18997 ab:aab=b,abaaba=b infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 18998 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:60,nodes:14,pairs:7,completionMax:12us [11m11s] 18998 ab:aab=b,abaabb=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbb=aa [11m11s] from: 18998 ab:aab=b,abaabb=a infinite to: 2066 ab:aab=b,abbb=a infinite a=a,b=b [11m11s] # 18999 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:29,nodes:12,pairs:3,completionMax:8us [11m11s] 18999 ab:aab=b,abaabb=b infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 18999 ab:aab=b,abaabb=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19000 solved: rounds:4,rules:4,peak:9,longest:6,steps:8,word:2,work:1433,nodes:24,pairs:28,completionMax:106us [11m11s] 19000 ab:aab=b,ababaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19000 ab:aab=b,ababaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19001 solved: rounds:3,rules:4,peak:7,longest:6,steps:4,word:0,work:701,nodes:24,pairs:25,completionMax:79us [11m11s] 19001 ab:aab=b,ababaa=b infinite ab - - ab:bb=b,aab=b,baa=b,bab=ab [11m11s] # 19002 solved: rounds:2,rules:4,peak:6,longest:6,steps:4,word:0,work:289,nodes:18,pairs:13,completionMax:30us [11m11s] 19002 ab:aab=b,ababab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19002 ab:aab=b,ababab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19003 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:3,work:237,nodes:18,pairs:11,completionMax:23us [11m11s] 19003 ab:aab=b,ababab=b infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19003 ab:aab=b,ababab=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19004 solved: rounds:4,rules:6,peak:10,longest:6,steps:4,word:0,work:1218,nodes:24,pairs:27,completionMax:99us [11m11s] 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb ab - - ab:aaa=a,aab=b,baa=aba,bab=abb,bbba=a,bbbb=b [11m11s] # 19005 solved: rounds:6,rules:7,peak:13,longest:7,steps:6,word:2,work:4615,nodes:50,pairs:54,completionMax:285us [11m11s] 19005 ab:aab=b,ababba=b infinite reversed:a/b - - ab:aab=b,baa=b,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m11s] # 19006 solved: rounds:4,rules:2,peak:6,longest:15,steps:3,word:9,work:863,nodes:48,pairs:16,completionMax:101us [11m11s] 19006 ab:aab=b,ababbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19006 ab:aab=b,ababbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19007 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:756,nodes:22,pairs:13,completionMax:66us [11m11s] 19007 ab:aab=b,ababbb=b infinite ab - - ab:aab=b,bab=abb,bbbb=b [11m11s] from: 19007 ab:aab=b,ababbb=b infinite to: 12553 ab:abab=bb,bbbb=b infinite a=a,b=b [11m11s] # 19008 solved: rounds:3,rules:4,peak:9,longest:6,steps:3,word:2,work:764,nodes:26,pairs:27,completionMax:97us [11m11s] 19008 ab:aab=b,abbaaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19008 ab:aab=b,abbaaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19009 solved: rounds:4,rules:4,peak:7,longest:6,steps:7,word:2,work:793,nodes:30,pairs:10,completionMax:80us [11m11s] 19009 ab:aab=b,abbaaa=b infinite b/a - - ab:bbbb=b,bab=abbb,aab=b,baaa=abb [11m11s] # 19010 solved: rounds:2,rules:4,peak:4,longest:4,steps:1,word:0,work:61,nodes:14,pairs:7,completionMax:19us [11m11s] 19010 ab:aab=b,abbaab=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbb=aa [11m11s] from: 19010 ab:aab=b,abbaab=a infinite to: 2066 ab:aab=b,abbb=a infinite a=a,b=b [11m11s] # 19011 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:30,nodes:12,pairs:3,completionMax:10us [11m11s] 19011 ab:aab=b,abbaab=b infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19011 ab:aab=b,abbaab=b infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19012 solved: rounds:4,rules:6,peak:10,longest:6,steps:5,word:0,work:1289,nodes:28,pairs:33,completionMax:132us [11m11s] 19012 ab:aab=b,abbaba=a finite:13;idempotents:1,aa,bbb ab - - ab:aaa=a,aab=b,baa=aba,bab=abb,bbba=a,bbbb=b [11m11s] from: 19012 ab:aab=b,abbaba=a finite:13;idempotents:1,aa,bbb to: 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb a=a,b=b [11m11s] # 19013 solved: rounds:5,rules:7,peak:16,longest:6,steps:6,word:2,work:4520,nodes:42,pairs:52,completionMax:274us [11m11s] 19013 ab:aab=b,abbaba=b infinite a/b - - ab:baa=b,aab=b,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m11s] from: 19013 ab:aab=b,abbaba=b infinite to: 19005 ab:aab=b,ababba=b infinite anti:a=a,b=b [11m11s] # 19014 solved: rounds:2,rules:2,peak:4,longest:9,steps:3,word:6,work:172,nodes:24,pairs:13,completionMax:64us [11m11s] 19014 ab:aab=b,abbabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19014 ab:aab=b,abbabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19015 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:383,nodes:22,pairs:7,completionMax:37us [11m11s] 19015 ab:aab=b,abbabb=b infinite ab - - ab:aab=b,bab=abb,bbbb=b [11m11s] from: 19015 ab:aab=b,abbabb=b infinite to: 12553 ab:abab=bb,bbbb=b infinite a=a,b=b [11m11s] # 19016 solved: rounds:3,rules:4,peak:8,longest:6,steps:2,word:0,work:520,nodes:22,pairs:18,completionMax:77us [11m11s] 19016 ab:aab=b,abbbaa=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [11m11s] from: 19016 ab:aab=b,abbbaa=a infinite to: 2080 ab:aab=b,bbba=a infinite a=a,b=b [11m11s] # 19017 solved: rounds:4,rules:3,peak:9,longest:7,steps:4,word:2,work:1813,nodes:34,pairs:31,completionMax:161us [11m11s] 19017 ab:aab=b,abbbaa=b infinite b/a - - ab:bbbbb=b,ab=bbb,baa=b [11m11s] from: 19017 ab:aab=b,abbbaa=b infinite to: 2081 ab:aab=b,bbba=b infinite anti:a=a,b=b [11m11s] # 19018 solved: rounds:3,rules:2,peak:9,longest:16,steps:11,word:6,work:5653,nodes:60,pairs:72,completionMax:399us [11m11s] 19018 ab:aab=b,abbbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19018 ab:aab=b,abbbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19019 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:140,nodes:22,pairs:6,completionMax:27us [11m11s] 19019 ab:aab=b,abbbab=b infinite ab - - ab:aab=b,bbbb=b,bbbab=ab [11m11s] # 19020 solved: rounds:2,rules:4,peak:6,longest:9,steps:2,word:3,work:330,nodes:28,pairs:7,completionMax:66us [11m11s] 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,bbbbbbbba=a,aa=bbbba [11m11s] # 19021 solved: rounds:5,rules:3,peak:7,longest:17,steps:19,word:12,work:2842,nodes:70,pairs:14,completionMax:203us [11m11s] 19021 ab:aab=b,abbbba=b infinite b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aab=b [11m11s] # 19022 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:89,nodes:22,pairs:11,completionMax:22us [11m11s] 19022 ab:aab=b,abbbbb=a infinite ab - - ab:aaa=a,aab=b,baa=b,bbbbb=aa [11m11s] # 19023 solved: rounds:2,rules:2,peak:3,longest:9,steps:1,word:3,work:40,nodes:20,pairs:3,completionMax:13us [11m11s] 19023 ab:aab=b,abbbbb=b infinite b/a - - ab:bbbbbbbbb=b,ab=bbbbb [11m11s] # 19024 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:148,nodes:16,pairs:9,completionMax:24us [11m11s] 19024 ab:aab=b,baaaaa=a finite:5;idempotents:1,b,aa ab - - ab:ba=a,bb=b,aaa=a,aab=b [11m11s] from: 19024 ab:aab=b,baaaaa=a finite:5;idempotents:1,b,aa to: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa a=a,b=b [11m11s] # 19025 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:50,nodes:16,pairs:2,completionMax:8us [11m11s] 19025 ab:aab=b,baaaaa=b infinite ab - - ab:aab=b,bab=bb,baaaaa=b [11m11s] # 19026 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:29,nodes:10,pairs:2,completionMax:6us [11m11s] 19026 ab:aab=b,baaaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 19026 ab:aab=b,baaaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19027 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:2us [11m11s] 19027 ab:aab=b,baaaab=b infinite ab - - ab:bb=b,aab=b [11m11s] from: 19027 ab:aab=b,baaaab=b infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 19028 solved: rounds:3,rules:4,peak:8,longest:5,steps:8,word:1,work:883,nodes:20,pairs:18,completionMax:82us [11m11s] 19028 ab:aab=b,baaaba=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19028 ab:aab=b,baaaba=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19029 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:0,work:235,nodes:14,pairs:13,completionMax:32us [11m11s] 19029 ab:aab=b,baaaba=b infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [11m11s] from: 19029 ab:aab=b,baaaba=b infinite to: 2073 ab:aab=b,baba=b infinite a=a,b=b [11m11s] # 19030 solved: rounds:3,rules:4,peak:7,longest:4,steps:5,word:0,work:476,nodes:20,pairs:10,completionMax:55us [11m11s] 19030 ab:aab=b,baaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19030 ab:aab=b,baaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19031 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [11m11s] 19031 ab:aab=b,baaabb=b infinite ab - - ab:aab=b,babb=b [11m11s] from: 19031 ab:aab=b,baaabb=b infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [11m11s] # 19032 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:2,work:220,nodes:16,pairs:7,completionMax:35us [11m11s] 19032 ab:aab=b,baabaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19032 ab:aab=b,baabaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19033 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:168,nodes:12,pairs:6,completionMax:20us [11m11s] 19033 ab:aab=b,baabaa=b infinite ab - - ab:bb=b,aab=b,baa=b [11m11s] from: 19033 ab:aab=b,baabaa=b infinite to: 2077 ab:aab=b,bbaa=b infinite a=a,b=b [11m11s] # 19034 solved: rounds:4,rules:4,peak:13,longest:5,steps:4,word:0,work:1508,nodes:26,pairs:47,completionMax:151us [11m11s] 19034 ab:aab=b,baabab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19034 ab:aab=b,baabab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19035 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:12,pairs:0,completionMax:3us [11m11s] 19035 ab:aab=b,baabab=b infinite ab - - ab:aab=b,bbab=b [11m11s] from: 19035 ab:aab=b,baabab=b infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [11m11s] # 19036 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:53,nodes:12,pairs:2,completionMax:10us [11m11s] 19036 ab:aab=b,baabba=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [11m11s] from: 19036 ab:aab=b,baabba=a infinite to: 2080 ab:aab=b,bbba=a infinite a=a,b=b [11m11s] # 19037 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:310,nodes:18,pairs:8,completionMax:67us [11m11s] 19037 ab:aab=b,baabba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 19037 ab:aab=b,baabba=b infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 19038 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:37,nodes:18,pairs:2,completionMax:15us [11m11s] 19038 ab:aab=b,baabbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19038 ab:aab=b,baabbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19039 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:19,nodes:12,pairs:0,completionMax:4us [11m11s] 19039 ab:aab=b,baabbb=b infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 19039 ab:aab=b,baabbb=b infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 19040 solved: rounds:4,rules:4,peak:8,longest:6,steps:3,word:2,work:720,nodes:20,pairs:23,completionMax:114us [11m11s] 19040 ab:aab=b,babaaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19040 ab:aab=b,babaaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19041 solved: rounds:3,rules:4,peak:6,longest:8,steps:6,word:2,work:890,nodes:30,pairs:14,completionMax:62us [11m11s] 19041 ab:aab=b,babaaa=b infinite a/b - - ab:baaaaaa=b,aab=b,bb=b,bab=baaa [11m11s] # 19042 solved: rounds:3,rules:4,peak:7,longest:4,steps:5,word:0,work:477,nodes:20,pairs:10,completionMax:35us [11m11s] 19042 ab:aab=b,babaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19042 ab:aab=b,babaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19043 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:3us [11m11s] 19043 ab:aab=b,babaab=b infinite ab - - ab:aab=b,babb=b [11m11s] from: 19043 ab:aab=b,babaab=b infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [11m11s] # 19044 solved: rounds:3,rules:6,peak:8,longest:6,steps:4,word:0,work:812,nodes:30,pairs:24,completionMax:72us [11m11s] 19044 ab:aab=b,bababa=a finite:13;idempotents:1,aa,bbb ab - - ab:aaa=a,aab=b,baa=aba,bab=abb,bbba=a,bbbb=b [11m11s] from: 19044 ab:aab=b,bababa=a finite:13;idempotents:1,aa,bbb to: 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb a=a,b=b [11m11s] # 19045 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:2,work:688,nodes:20,pairs:20,completionMax:64us [11m11s] 19045 ab:aab=b,bababa=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 19045 ab:aab=b,bababa=b infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 19046 solved: rounds:3,rules:2,peak:10,longest:10,steps:5,word:6,work:1865,nodes:28,pairs:55,completionMax:281us [11m11s] 19046 ab:aab=b,bababb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19046 ab:aab=b,bababb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19047 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:4us [11m11s] 19047 ab:aab=b,bababb=b infinite ab - - ab:aab=b,bababb=b [11m11s] # 19048 solved: rounds:3,rules:6,peak:11,longest:6,steps:4,word:0,work:1531,nodes:22,pairs:29,completionMax:107us [11m11s] 19048 ab:aab=b,babbaa=a finite:13;idempotents:1,aa,bbb ab - - ab:aaa=a,aab=b,baa=aba,bab=abb,bbba=a,bbbb=b [11m11s] from: 19048 ab:aab=b,babbaa=a finite:13;idempotents:1,aa,bbb to: 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb a=a,b=b [11m11s] # 19049 solved: rounds:3,rules:3,peak:5,longest:6,steps:1,word:0,work:212,nodes:16,pairs:5,completionMax:30us [11m11s] 19049 ab:aab=b,babbaa=b infinite ab - - ab:aab=b,baa=b,babb=b [11m11s] # 19050 solved: rounds:5,rules:2,peak:12,longest:9,steps:6,word:3,work:3072,nodes:32,pairs:62,completionMax:272us [11m11s] 19050 ab:aab=b,babbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19050 ab:aab=b,babbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19051 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:156,nodes:20,pairs:2,completionMax:19us [11m11s] 19051 ab:aab=b,babbab=b infinite ab - - ab:aab=b,bbab=babb,bababb=b [11m11s] # 19052 solved: rounds:4,rules:4,peak:11,longest:9,steps:6,word:6,work:2510,nodes:28,pairs:25,completionMax:159us [11m11s] 19052 ab:aab=b,babbba=a finite:17;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,bbbbbbbba=a,aa=bbbba [11m11s] from: 19052 ab:aab=b,babbba=a finite:17;idempotents:1,bbbba,bbbbbbbb to: 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m11s] # 19053 solved: rounds:4,rules:4,peak:8,longest:8,steps:3,word:0,work:1127,nodes:34,pairs:28,completionMax:79us [11m11s] 19053 ab:aab=b,babbba=b infinite ab - - ab:aab=b,baa=b,bbbb=b,babbb=ba [11m11s] # 19054 solved: rounds:4,rules:4,peak:8,longest:16,steps:13,word:15,work:3426,nodes:70,pairs:28,completionMax:204us [11m11s] 19054 ab:aab=b,babbbb=a finite:31;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,abbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbb,aa=bbbbbbbbbbbbbbb [11m11s] # 19055 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:3us [11m11s] 19055 ab:aab=b,babbbb=b infinite ab - - ab:aab=b,babbbb=b [11m11s] # 19056 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:2,work:269,nodes:20,pairs:9,completionMax:33us [11m11s] 19056 ab:aab=b,bbaaaa=a finite:9;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbba=a,aa=bba [11m11s] from: 19056 ab:aab=b,bbaaaa=a finite:9;idempotents:1,bba,bbbb to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 19057 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:198,nodes:16,pairs:6,completionMax:26us [11m11s] 19057 ab:aab=b,bbaaaa=b infinite ab - - ab:bb=b,aab=b,baaaa=b [11m11s] # 19058 solved: rounds:4,rules:4,peak:13,longest:5,steps:4,word:0,work:1510,nodes:26,pairs:47,completionMax:132us [11m11s] 19058 ab:aab=b,bbaaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19058 ab:aab=b,bbaaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19059 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:2us [11m11s] 19059 ab:aab=b,bbaaab=b infinite ab - - ab:aab=b,bbab=b [11m11s] from: 19059 ab:aab=b,bbaaab=b infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [11m11s] # 19060 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:54,nodes:12,pairs:2,completionMax:12us [11m11s] 19060 ab:aab=b,bbaaba=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [11m11s] from: 19060 ab:aab=b,bbaaba=a infinite to: 2080 ab:aab=b,bbba=a infinite a=a,b=b [11m11s] # 19061 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:311,nodes:18,pairs:8,completionMax:47us [11m11s] 19061 ab:aab=b,bbaaba=b infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 19061 ab:aab=b,bbaaba=b infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 19062 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:38,nodes:18,pairs:2,completionMax:10us [11m11s] 19062 ab:aab=b,bbaabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19062 ab:aab=b,bbaabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19063 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:3us [11m11s] 19063 ab:aab=b,bbaabb=b infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 19063 ab:aab=b,bbaabb=b infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 19064 solved: rounds:4,rules:6,peak:11,longest:6,steps:4,word:0,work:2151,nodes:32,pairs:50,completionMax:169us [11m11s] 19064 ab:aab=b,bbabaa=a finite:13;idempotents:1,aa,bbb ab - - ab:aaa=a,aab=b,baa=aba,bab=abb,bbba=a,bbbb=b [11m11s] from: 19064 ab:aab=b,bbabaa=a finite:13;idempotents:1,aa,bbb to: 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb a=a,b=b [11m11s] # 19065 solved: rounds:3,rules:3,peak:5,longest:6,steps:1,word:0,work:212,nodes:16,pairs:5,completionMax:28us [11m11s] 19065 ab:aab=b,bbabaa=b infinite ab - - ab:aab=b,baa=b,bbab=b [11m11s] # 19066 solved: rounds:4,rules:2,peak:22,longest:10,steps:4,word:6,work:10127,nodes:68,pairs:243,completionMax:1128us [11m11s] 19066 ab:aab=b,bbabab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19066 ab:aab=b,bbabab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19067 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:2us [11m11s] 19067 ab:aab=b,bbabab=b infinite ab - - ab:aab=b,bbabab=b [11m11s] # 19068 solved: rounds:3,rules:4,peak:10,longest:9,steps:10,word:3,work:3708,nodes:40,pairs:28,completionMax:212us [11m11s] 19068 ab:aab=b,bbabba=a finite:17;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,bbbbbbbba=a,aa=bbbba [11m11s] from: 19068 ab:aab=b,bbabba=a finite:17;idempotents:1,bbbba,bbbbbbbb to: 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m11s] # 19069 solved: rounds:4,rules:4,peak:9,longest:6,steps:5,word:0,work:1535,nodes:24,pairs:27,completionMax:117us [11m11s] 19069 ab:aab=b,bbabba=b infinite ba - - ab:bab=bba,baa=b,aab=b,bbbb=b [11m11s] # 19070 solved: rounds:3,rules:4,peak:7,longest:7,steps:9,word:0,work:1067,nodes:24,pairs:17,completionMax:96us [11m11s] 19070 ab:aab=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aaa=a,aab=b,bbbbb=aa [11m11s] # 19071 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1062,nodes:28,pairs:7,completionMax:50us [11m11s] 19071 ab:aab=b,bbabbb=b infinite ab - - ab:aab=b,bbab=babb,babbbb=b [11m11s] # 19072 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:170,nodes:16,pairs:7,completionMax:30us [11m11s] 19072 ab:aab=b,bbbaaa=a infinite ab - - ab:aaa=a,aab=b,bbba=a,bbbb=b [11m11s] from: 19072 ab:aab=b,bbbaaa=a infinite to: 2080 ab:aab=b,bbba=a infinite a=a,b=b [11m11s] # 19073 solved: rounds:3,rules:4,peak:6,longest:6,steps:2,word:1,work:380,nodes:26,pairs:8,completionMax:61us [11m11s] 19073 ab:aab=b,bbbaaa=b infinite b/a - - ab:bbbbb=b,bab=bbbb,aab=b,baaa=bbb [11m11s] # 19074 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:39,nodes:18,pairs:2,completionMax:12us [11m11s] 19074 ab:aab=b,bbbaab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19074 ab:aab=b,bbbaab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19075 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:21,nodes:12,pairs:0,completionMax:3us [11m11s] 19075 ab:aab=b,bbbaab=b infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 19075 ab:aab=b,bbbaab=b infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 19076 solved: rounds:4,rules:4,peak:11,longest:9,steps:10,word:6,work:5333,nodes:30,pairs:75,completionMax:466us [11m11s] 19076 ab:aab=b,bbbaba=a finite:17;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,bbbbbbbba=a,aa=bbbba [11m11s] from: 19076 ab:aab=b,bbbaba=a finite:17;idempotents:1,bbbba,bbbbbbbb to: 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m11s] # 19077 solved: rounds:4,rules:4,peak:10,longest:7,steps:5,word:0,work:4090,nodes:36,pairs:59,completionMax:270us [11m11s] 19077 ab:aab=b,bbbaba=b infinite ba - - ab:bab=bba,baa=b,aab=b,bbbb=b [11m11s] from: 19077 ab:aab=b,bbbaba=b infinite to: 19069 ab:aab=b,bbabba=b infinite a=a,b=b [11m11s] # 19078 solved: rounds:4,rules:4,peak:13,longest:8,steps:9,word:0,work:3483,nodes:42,pairs:58,completionMax:259us [11m11s] 19078 ab:aab=b,bbbabb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aaa=a,aab=b,bbbbb=aa [11m11s] from: 19078 ab:aab=b,bbbabb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 to: 19070 ab:aab=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 a=a,b=b [11m11s] # 19079 solved: rounds:4,rules:3,peak:5,longest:8,steps:4,word:0,work:876,nodes:32,pairs:10,completionMax:67us [11m11s] 19079 ab:aab=b,bbbabb=b infinite ab - - ab:aab=b,bbab=babb,babbbb=b [11m11s] from: 19079 ab:aab=b,bbbabb=b infinite to: 19071 ab:aab=b,bbabbb=b infinite a=a,b=b [11m11s] # 19080 solved: rounds:2,rules:4,peak:6,longest:9,steps:3,word:6,work:329,nodes:24,pairs:9,completionMax:64us [11m11s] 19080 ab:aab=b,bbbbaa=a finite:17;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,bbbbbbbba=a,aa=bbbba [11m11s] from: 19080 ab:aab=b,bbbbaa=a finite:17;idempotents:1,bbbba,bbbbbbbb to: 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m11s] # 19081 solved: rounds:3,rules:3,peak:6,longest:6,steps:1,word:0,work:285,nodes:18,pairs:9,completionMax:41us [11m11s] 19081 ab:aab=b,bbbbaa=b infinite ab - - ab:aab=b,baa=b,bbbb=b [11m11s] # 19082 solved: rounds:5,rules:4,peak:12,longest:26,steps:26,word:28,work:20439,nodes:102,pairs:61,completionMax:743us [11m11s] 19082 ab:aab=b,bbbbab=a finite:31;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,abbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbb,aa=bbbbbbbbbbbbbbb [11m11s] from: 19082 ab:aab=b,bbbbab=a finite:31;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb to: 19054 ab:aab=b,babbbb=a finite:31;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m11s] # 19083 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:2us [11m11s] 19083 ab:aab=b,bbbbab=b infinite ab - - ab:aab=b,bbbbab=b [11m11s] # 19084 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:63,nodes:16,pairs:2,completionMax:9us [11m11s] 19084 ab:aab=b,bbbbba=a infinite ab - - ab:aaa=a,aab=b,bbbbba=a,bbbbbb=b [11m11s] # 19085 solved: rounds:4,rules:3,peak:6,longest:10,steps:2,word:3,work:462,nodes:26,pairs:9,completionMax:47us [11m11s] 19085 ab:aab=b,bbbbba=b infinite b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aab=b [11m11s] # 19086 solved: rounds:1,rules:2,peak:2,longest:13,steps:1,word:5,work:47,nodes:26,pairs:2,completionMax:10us [11m11s] 19086 ab:aab=b,bbbbbb=a finite:13;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b,a=b6;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:12 b/a - - ab:bbbbbbbbbbbbb=b,a=bbbbbb [11m11s] from: 19086 ab:aab=b,bbbbbb=a finite:13;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b,a=b6;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=aaaaaa,b=a [11m11s] # 19087 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:16,pairs:0,completionMax:3us [11m11s] 19087 ab:aab=b,bbbbbb=b infinite ab - - ab:aab=b,bbbbbb=b [11m11s] # 19088 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [11m11s] 19088 ab:aba=a,aaaaaa=a infinite ab - - ab:aba=a,aaaaaa=a [11m11s] # 19089 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:5us [11m11s] 19089 ab:aba=a,aaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaaaa [11m11s] from: 19089 ab:aba=a,aaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbbbb,b=b [11m11s] # 19090 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:1,work:208,nodes:14,pairs:6,completionMax:22us [11m11s] 19090 ab:aba=a,aaaaab=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19090 ab:aba=a,aaaaab=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19091 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:3,work:159,nodes:16,pairs:6,completionMax:26us [11m11s] 19091 ab:aba=a,aaaaab=b finite:11;idempotents:1,ab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaaa,aaaaab=b,bb=aaaab [11m11s] # 19092 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:4us [11m11s] 19092 ab:aba=a,aaaaba=a infinite ab - - ab:aba=a,aaaa=a [11m11s] from: 19092 ab:aba=a,aaaaba=a infinite to: 2084 ab:aba=a,aaaa=a infinite a=a,b=b [11m11s] # 19093 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:1,completionMax:5us [11m11s] 19093 ab:aba=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 19093 ab:aba=a,aaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 19094 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:2us [11m11s] 19094 ab:aba=a,aaaabb=a infinite ab - - ab:aba=a,aaaabb=a [11m11s] # 19095 solved: rounds:4,rules:4,peak:5,longest:6,steps:2,word:1,work:120,nodes:14,pairs:7,completionMax:19us [11m11s] 19095 ab:aba=a,aaaabb=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [11m11s] from: 19095 ab:aba=a,aaaabb=b finite:7;idempotents:1,ab,aaa to: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a=a,b=b [11m11s] # 19096 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:3us [11m11s] 19096 ab:aba=a,aaabaa=a infinite ab - - ab:aba=a,aaaa=a [11m11s] from: 19096 ab:aba=a,aaabaa=a infinite to: 2084 ab:aba=a,aaaa=a infinite a=a,b=b [11m11s] # 19097 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:23,nodes:12,pairs:1,completionMax:5us [11m11s] 19097 ab:aba=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 a/b - - ab:aaaaaa=a,b=aaaa [11m11s] from: 19097 ab:aba=a,aaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=bbbb,b=b [11m11s] # 19098 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:154,nodes:10,pairs:4,completionMax:15us [11m11s] 19098 ab:aba=a,aaabab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19098 ab:aba=a,aaabab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19099 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:124,nodes:12,pairs:6,completionMax:16us [11m11s] 19099 ab:aba=a,aaabab=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [11m11s] from: 19099 ab:aba=a,aaabab=b finite:7;idempotents:1,ab,aaa to: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a=a,b=b [11m11s] # 19100 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:2us [11m11s] 19100 ab:aba=a,aaabba=a infinite ab - - ab:aba=a,aaabba=a [11m11s] # 19101 solved: rounds:3,rules:2,peak:5,longest:6,steps:10,word:3,work:476,nodes:18,pairs:11,completionMax:34us [11m11s] 19101 ab:aba=a,aaabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 19101 ab:aba=a,aaabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 19102 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m11s] 19102 ab:aba=a,aaabbb=a infinite ab - - ab:aba=a,aaabbb=a [11m11s] # 19103 solved: rounds:4,rules:4,peak:4,longest:6,steps:1,word:0,work:58,nodes:14,pairs:6,completionMax:17us [11m11s] 19103 ab:aba=a,aaabbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19103 ab:aba=a,aaabbb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19104 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:153,nodes:10,pairs:4,completionMax:21us [11m11s] 19104 ab:aba=a,aabaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19104 ab:aba=a,aabaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19105 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:123,nodes:12,pairs:6,completionMax:22us [11m11s] 19105 ab:aba=a,aabaab=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [11m11s] from: 19105 ab:aba=a,aabaab=b finite:7;idempotents:1,ab,aaa to: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a=a,b=b [11m11s] # 19106 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:3us [11m11s] 19106 ab:aba=a,aababa=a infinite ab - - ab:aa=a,aba=a [11m11s] from: 19106 ab:aba=a,aababa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 19107 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:1,completionMax:5us [11m11s] 19107 ab:aba=a,aababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 19107 ab:aba=a,aababa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 19108 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:3us [11m11s] 19108 ab:aba=a,aababb=a infinite ab - - ab:aba=a,aabb=a [11m11s] from: 19108 ab:aba=a,aababb=a infinite to: 2090 ab:aba=a,aabb=a infinite a=a,b=b [11m11s] # 19109 solved: rounds:4,rules:4,peak:4,longest:4,steps:1,word:0,work:56,nodes:10,pairs:6,completionMax:16us [11m11s] 19109 ab:aba=a,aababb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19109 ab:aba=a,aababb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19110 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:206,nodes:18,pairs:2,completionMax:21us [11m11s] 19110 ab:aba=a,aabbaa=a infinite ab - - ab:aba=a,abbaa=aabba,aaabba=a [11m11s] # 19111 solved: rounds:3,rules:2,peak:5,longest:6,steps:10,word:3,work:411,nodes:18,pairs:12,completionMax:44us [11m11s] 19111 ab:aba=a,aabbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 19111 ab:aba=a,aabbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 19112 solved: rounds:4,rules:2,peak:3,longest:6,steps:2,word:0,work:111,nodes:14,pairs:7,completionMax:24us [11m11s] 19112 ab:aba=a,aabbab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19112 ab:aba=a,aabbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19113 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:125,nodes:16,pairs:9,completionMax:25us [11m11s] 19113 ab:aba=a,aabbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19113 ab:aba=a,aabbab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19114 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:3us [11m11s] 19114 ab:aba=a,aabbba=a infinite ab - - ab:aba=a,aabbba=a [11m11s] # 19115 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:0,work:236,nodes:18,pairs:21,completionMax:39us [11m11s] 19115 ab:aba=a,aabbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 19115 ab:aba=a,aabbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 19116 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m11s] 19116 ab:aba=a,aabbbb=a infinite ab - - ab:aba=a,aabbbb=a [11m11s] # 19117 solved: rounds:5,rules:4,peak:4,longest:6,steps:2,word:0,work:62,nodes:14,pairs:5,completionMax:17us [11m11s] 19117 ab:aba=a,aabbbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19117 ab:aba=a,aabbbb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19118 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:152,nodes:10,pairs:4,completionMax:17us [11m11s] 19118 ab:aba=a,abaaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19118 ab:aba=a,abaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19119 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:122,nodes:12,pairs:6,completionMax:29us [11m11s] 19119 ab:aba=a,abaaab=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [11m11s] from: 19119 ab:aba=a,abaaab=b finite:7;idempotents:1,ab,aaa to: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a=a,b=b [11m11s] # 19120 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:6,pairs:0,completionMax:4us [11m11s] 19120 ab:aba=a,abaaba=a infinite ab - - ab:aa=a,aba=a [11m11s] from: 19120 ab:aba=a,abaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 19121 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:8,pairs:1,completionMax:4us [11m11s] 19121 ab:aba=a,abaaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a/b - - ab:aaaa=a,b=aa [11m11s] from: 19121 ab:aba=a,abaaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=bb,b=b [11m11s] # 19122 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m11s] 19122 ab:aba=a,abaabb=a infinite ab - - ab:aba=a,aabb=a [11m11s] from: 19122 ab:aba=a,abaabb=a infinite to: 2090 ab:aba=a,aabb=a infinite a=a,b=b [11m11s] # 19123 solved: rounds:4,rules:4,peak:4,longest:4,steps:1,word:0,work:55,nodes:10,pairs:6,completionMax:14us [11m11s] 19123 ab:aba=a,abaabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19123 ab:aba=a,abaabb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19124 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:3us [11m11s] 19124 ab:aba=a,ababab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19124 ab:aba=a,ababab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19125 solved: rounds:2,rules:4,peak:4,longest:3,steps:2,word:0,work:44,nodes:6,pairs:3,completionMax:7us [11m11s] 19125 ab:aba=a,ababab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19125 ab:aba=a,ababab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19126 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:8,pairs:0,completionMax:3us [11m11s] 19126 ab:aba=a,ababba=a infinite ab - - ab:aba=a,abba=a [11m11s] from: 19126 ab:aba=a,ababba=a infinite to: 2094 ab:aba=a,abba=a infinite a=a,b=b [11m11s] # 19127 solved: rounds:4,rules:2,peak:6,longest:4,steps:3,word:0,work:212,nodes:12,pairs:21,completionMax:34us [11m11s] 19127 ab:aba=a,ababba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 19127 ab:aba=a,ababba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 19128 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:2us [11m11s] 19128 ab:aba=a,ababbb=a infinite ab - - ab:aba=a,abbb=a [11m11s] from: 19128 ab:aba=a,ababbb=a infinite to: 2096 ab:aba=a,abbb=a infinite a=a,b=b [11m11s] # 19129 solved: rounds:5,rules:4,peak:4,longest:4,steps:2,word:0,work:60,nodes:8,pairs:5,completionMax:20us [11m11s] 19129 ab:aba=a,ababbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19129 ab:aba=a,ababbb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19130 solved: rounds:3,rules:2,peak:4,longest:6,steps:3,word:0,work:228,nodes:14,pairs:14,completionMax:32us [11m11s] 19130 ab:aba=a,abbaab=a infinite ab - - ab:aa=a,ab=a [11m11s] from: 19130 ab:aba=a,abbaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19131 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:0,work:367,nodes:20,pairs:15,completionMax:58us [11m11s] 19131 ab:aba=a,abbaab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19131 ab:aba=a,abbaab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19132 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:35,nodes:16,pairs:1,completionMax:5us [11m11s] 19132 ab:aba=a,abbabb=a infinite ba - - ab:aba=a,aabb=abba,abbabb=a [11m11s] # 19133 solved: rounds:5,rules:4,peak:4,longest:6,steps:2,word:0,work:75,nodes:12,pairs:7,completionMax:20us [11m11s] 19133 ab:aba=a,abbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19133 ab:aba=a,abbabb=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19134 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:2,work:373,nodes:16,pairs:10,completionMax:37us [11m11s] 19134 ab:aba=a,abbbab=a infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19134 ab:aba=a,abbbab=a infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19135 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:315,nodes:16,pairs:14,completionMax:42us [11m11s] 19135 ab:aba=a,abbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=b,ba=a,bb=b [11m11s] from: 19135 ab:aba=a,abbbab=b finite:3;idempotents:1,a,b to: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b a=a,b=b [11m11s] # 19136 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:12,pairs:0,completionMax:2us [11m11s] 19136 ab:aba=a,abbbba=a infinite ab - - ab:aba=a,abbbba=a [11m11s] # 19137 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:0,work:171,nodes:16,pairs:18,completionMax:26us [11m11s] 19137 ab:aba=a,abbbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m11s] from: 19137 ab:aba=a,abbbba=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m11s] # 19138 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:1us [11m11s] 19138 ab:aba=a,abbbbb=a infinite ab - - ab:aba=a,abbbbb=a [11m11s] # 19139 solved: rounds:6,rules:4,peak:7,longest:6,steps:3,word:1,work:371,nodes:16,pairs:16,completionMax:45us [11m11s] 19139 ab:aba=a,abbbbb=b finite:7;idempotents:1,ab,aaa a/b - - ab:aaaa=a,ba=aaa,aaab=b,bb=aab [11m11s] from: 19139 ab:aba=a,abbbbb=b finite:7;idempotents:1,ab,aaa to: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa a=a,b=b [11m11s] # 19140 solved: rounds:4,rules:3,peak:6,longest:6,steps:4,word:0,work:540,nodes:22,pairs:31,completionMax:52us [11m11s] 19140 ab:aba=a,baaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19140 ab:aba=a,baaaab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19141 solved: rounds:2,rules:3,peak:5,longest:6,steps:2,word:0,work:161,nodes:22,pairs:7,completionMax:31us [11m11s] 19141 ab:aba=a,baaaab=b infinite ab - - ab:aba=a,bab=b,aaaa=a [11m11s] # 19142 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:237,nodes:22,pairs:12,completionMax:26us [11m11s] 19142 ab:aba=a,baaabb=a infinite ab - - ab:aa=a,ba=a,abb=a [11m11s] from: 19142 ab:aba=a,baaabb=a infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [11m11s] # 19143 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:53,nodes:22,pairs:2,completionMax:9us [11m11s] 19143 ab:aba=a,baaabb=b infinite ab - - ab:aba=a,bab=b,aaabb=ab [11m11s] # 19144 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:158,nodes:14,pairs:13,completionMax:22us [11m11s] 19144 ab:aba=a,baabab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19144 ab:aba=a,baabab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19145 solved: rounds:2,rules:3,peak:5,longest:4,steps:2,word:0,work:120,nodes:14,pairs:7,completionMax:15us [11m11s] 19145 ab:aba=a,baabab=b infinite ab - - ab:aa=a,aba=a,bab=b [11m11s] from: 19145 ab:aba=a,baabab=b infinite to: 2099 ab:aba=a,baab=b infinite a=a,b=b [11m11s] # 19146 solved: rounds:3,rules:3,peak:7,longest:6,steps:3,word:1,work:573,nodes:26,pairs:15,completionMax:49us [11m11s] 19146 ab:aba=a,baabbb=a infinite a/b - - ab:aaaa=a,ba=aaa,abbb=a [11m11s] from: 19146 ab:aba=a,baabbb=a infinite to: 2048 ab:aab=a,bbba=a infinite anti:a=a,b=b [11m11s] # 19147 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:53,nodes:22,pairs:2,completionMax:11us [11m11s] 19147 ab:aba=a,baabbb=b infinite ab - - ab:aba=a,bab=b,aabbb=ab [11m11s] # 19148 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:1,work:99,nodes:12,pairs:7,completionMax:14us [11m11s] 19148 ab:aba=a,bababb=a infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [11m11s] from: 19148 ab:aba=a,bababb=a infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [11m11s] # 19149 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:68,nodes:12,pairs:3,completionMax:11us [11m11s] 19149 ab:aba=a,bababb=b infinite ab - - ab:bb=b,aba=a,bab=b [11m11s] from: 19149 ab:aba=a,bababb=b infinite to: 2101 ab:aba=a,babb=b infinite a=a,b=b [11m11s] # 19150 solved: rounds:3,rules:3,peak:4,longest:6,steps:8,word:2,work:424,nodes:22,pairs:15,completionMax:33us [11m11s] 19150 ab:aba=a,babbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19150 ab:aba=a,babbab=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19151 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:232,nodes:20,pairs:10,completionMax:25us [11m11s] 19151 ab:aba=a,babbab=b infinite ab - - ab:bb=b,aba=a,bab=b [11m11s] from: 19151 ab:aba=a,babbab=b infinite to: 2101 ab:aba=a,babb=b infinite a=a,b=b [11m11s] # 19152 solved: rounds:4,rules:3,peak:7,longest:7,steps:4,word:6,work:736,nodes:28,pairs:20,completionMax:78us [11m11s] 19152 ab:aba=a,babbbb=a infinite a/b - - ab:aaaaaa=a,ba=aaaaa,abbbb=aa [11m11s] from: 19152 ab:aba=a,babbbb=a infinite to: 18954 ab:aab=a,bbbbab=a infinite anti:a=a,b=b [11m11s] # 19153 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:88,nodes:20,pairs:3,completionMax:20us [11m11s] 19153 ab:aba=a,babbbb=b infinite ab - - ab:aba=a,bab=b,bbbb=b [11m11s] # 19154 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:768,nodes:22,pairs:13,completionMax:53us [11m11s] 19154 ab:aba=a,bbaabb=a infinite ab - - ab:aba=a,bba=abb,aabbbb=a [11m11s] # 19155 solved: rounds:4,rules:9,peak:9,longest:8,steps:3,word:3,work:1131,nodes:54,pairs:25,completionMax:139us [11m11s] 19155 ab:aba=a,bbaabb=b infinite ac/b bb=c frequency:2/0 abc:aacc=ac,acaa=aaca,ccaa=ca,ccac=cacc,cacac=cc,aacaca=a,aacacc=acac,caacac=c,b=caac [11m11s] # 19156 solved: rounds:3,rules:4,peak:8,longest:7,steps:3,word:2,work:796,nodes:32,pairs:18,completionMax:74us [11m11s] 19156 ab:aba=a,bbabbb=a infinite a/b - - ab:aaaaaa=a,aba=a,bba=aaaa,abbb=aaa [11m11s] # 19157 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:938,nodes:26,pairs:21,completionMax:78us [11m11s] 19157 ab:aba=a,bbabbb=b infinite ab - - ab:aba=a,bab=b,bbbb=b [11m11s] from: 19157 ab:aba=a,bbabbb=b infinite to: 19153 ab:aba=a,babbbb=b infinite a=a,b=b [11m11s] # 19158 solved: rounds:1,rules:2,peak:2,longest:13,steps:2,word:10,work:198,nodes:26,pairs:2,completionMax:18us [11m11s] 19158 ab:aba=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbbb=bbbbbb,a=bbbbbb [11m11s] from: 19158 ab:aba=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 18958 ab:aab=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a=bbbbbb,b=b [11m11s] # 19159 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:5us [11m11s] 19159 ab:aba=a,bbbbbb=b infinite ab - - ab:aba=a,bbbbbb=b [11m11s] # 19160 solved: rounds:2,rules:3,peak:6,longest:6,steps:9,word:6,work:494,nodes:24,pairs:7,completionMax:48us [11m11s] 19160 ab:aba=b,aaaaaa=a infinite a/b - - ab:aaaaaa=a,baaaaa=b,ab=baaaa [11m11s] # 19161 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:10,work:258,nodes:16,pairs:2,completionMax:10us [11m11s] 19161 ab:aba=b,aaaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaaaa,aaaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aaaaaa [11m11s] from: 19161 ab:aba=b,aaaaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaaaa,aaaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aaaaaa [11m11s] # 19162 solved: rounds:2,rules:2,peak:9,longest:6,steps:7,word:2,work:492,nodes:18,pairs:15,completionMax:52us [11m11s] 19162 ab:aba=b,aaaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m11s] from: 19162 ab:aba=b,aaaaab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m11s] # 19163 solved: rounds:5,rules:2,peak:6,longest:7,steps:8,word:5,work:652,nodes:24,pairs:17,completionMax:68us [11m11s] 19163 ab:aba=b,aaaaab=b infinite a/b - - ab:baaaaa=b,ab=baaaa [11m11s] # 19164 solved: rounds:2,rules:2,peak:9,longest:4,steps:4,word:1,work:365,nodes:14,pairs:16,completionMax:49us [11m11s] 19164 ab:aba=b,aaaaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m11s] from: 19164 ab:aba=b,aaaaba=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m11s] # 19165 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:1,work:92,nodes:10,pairs:9,completionMax:15us [11m11s] 19165 ab:aba=b,aaaaba=b infinite a/b - - ab:baaa=b,ab=baa [11m11s] from: 19165 ab:aba=b,aaaaba=b infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [11m11s] # 19166 solved: rounds:4,rules:4,peak:12,longest:7,steps:11,word:6,work:2777,nodes:36,pairs:64,completionMax:185us [11m11s] 19166 ab:aba=b,aaaabb=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 19166 ab:aba=b,aaaabb=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 2118 ab:aba=b,baab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a=a,b=b [11m11s] # 19167 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:609,nodes:28,pairs:14,completionMax:38us [11m11s] 19167 ab:aba=b,aaaabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19167 ab:aba=b,aaaabb=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19168 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:37,nodes:6,pairs:3,completionMax:8us [11m11s] 19168 ab:aba=b,aaabaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m11s] from: 19168 ab:aba=b,aaabaa=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m11s] # 19169 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:6,pairs:2,completionMax:5us [11m11s] 19169 ab:aba=b,aaabaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 19169 ab:aba=b,aaabaa=b infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 19170 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:2,work:223,nodes:22,pairs:9,completionMax:26us [11m11s] 19170 ab:aba=b,aaabab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 19170 ab:aba=b,aaabab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19171 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:287,nodes:18,pairs:12,completionMax:37us [11m11s] 19171 ab:aba=b,aaabab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19171 ab:aba=b,aaabab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19172 solved: rounds:6,rules:4,peak:10,longest:8,steps:11,word:7,work:2660,nodes:38,pairs:30,completionMax:204us [11m11s] 19172 ab:aba=b,aaabba=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 19172 ab:aba=b,aaabba=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 2118 ab:aba=b,baab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a=a,b=b [11m11s] # 19173 solved: rounds:3,rules:3,peak:8,longest:6,steps:5,word:0,work:833,nodes:30,pairs:37,completionMax:92us [11m11s] 19173 ab:aba=b,aaabba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19173 ab:aba=b,aaabba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19174 solved: rounds:3,rules:4,peak:9,longest:6,steps:5,word:0,work:771,nodes:26,pairs:15,completionMax:70us [11m11s] 19174 ab:aba=b,aaabbb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19174 ab:aba=b,aaabbb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19175 solved: rounds:4,rules:3,peak:13,longest:9,steps:11,word:12,work:6209,nodes:40,pairs:69,completionMax:375us [11m11s] 19175 ab:aba=b,aaabbb=b infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] # 19176 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:31,nodes:10,pairs:2,completionMax:8us [11m11s] 19176 ab:aba=b,aabaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 19176 ab:aba=b,aabaab=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19177 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:54,nodes:8,pairs:2,completionMax:6us [11m11s] 19177 ab:aba=b,aabaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19177 ab:aba=b,aabaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19178 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:5,work:570,nodes:24,pairs:22,completionMax:81us [11m11s] 19178 ab:aba=b,aababa=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 19178 ab:aba=b,aababa=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19179 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:361,nodes:18,pairs:23,completionMax:51us [11m11s] 19179 ab:aba=b,aababa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19179 ab:aba=b,aababa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19180 solved: rounds:3,rules:4,peak:7,longest:4,steps:3,word:0,work:311,nodes:16,pairs:12,completionMax:45us [11m11s] 19180 ab:aba=b,aababb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19180 ab:aba=b,aababb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19181 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:181,nodes:14,pairs:9,completionMax:31us [11m11s] 19181 ab:aba=b,aababb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19181 ab:aba=b,aababb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19182 solved: rounds:6,rules:4,peak:10,longest:8,steps:11,word:7,work:2638,nodes:38,pairs:31,completionMax:266us [11m11s] 19182 ab:aba=b,aabbaa=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 19182 ab:aba=b,aabbaa=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 2118 ab:aba=b,baab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a=a,b=b [11m11s] # 19183 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:0,work:1054,nodes:32,pairs:30,completionMax:85us [11m11s] 19183 ab:aba=b,aabbaa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19183 ab:aba=b,aabbaa=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19184 solved: rounds:3,rules:4,peak:9,longest:6,steps:5,word:0,work:662,nodes:22,pairs:22,completionMax:76us [11m11s] 19184 ab:aba=b,aabbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19184 ab:aba=b,aabbab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19185 solved: rounds:4,rules:3,peak:12,longest:8,steps:5,word:8,work:2840,nodes:36,pairs:53,completionMax:242us [11m11s] 19185 ab:aba=b,aabbab=b infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19185 ab:aba=b,aabbab=b infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19186 solved: rounds:4,rules:4,peak:6,longest:6,steps:5,word:0,work:456,nodes:20,pairs:19,completionMax:73us [11m11s] 19186 ab:aba=b,aabbba=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19186 ab:aba=b,aabbba=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19187 solved: rounds:3,rules:3,peak:6,longest:6,steps:2,word:2,work:358,nodes:18,pairs:14,completionMax:53us [11m11s] 19187 ab:aba=b,aabbba=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19187 ab:aba=b,aabbba=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19188 solved: rounds:3,rules:2,peak:6,longest:9,steps:3,word:6,work:390,nodes:38,pairs:9,completionMax:56us [11m11s] 19188 ab:aba=b,aabbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19188 ab:aba=b,aabbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19189 solved: rounds:3,rules:3,peak:7,longest:6,steps:5,word:0,work:622,nodes:30,pairs:13,completionMax:61us [11m11s] 19189 ab:aba=b,aabbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19189 ab:aba=b,aabbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19190 solved: rounds:3,rules:4,peak:8,longest:7,steps:5,word:4,work:715,nodes:28,pairs:15,completionMax:55us [11m11s] 19190 ab:aba=b,abaaab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 19190 ab:aba=b,abaaab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 2118 ab:aba=b,baab=a finite:13;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a=a,b=b [11m11s] # 19191 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:138,nodes:12,pairs:10,completionMax:17us [11m11s] 19191 ab:aba=b,abaaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19191 ab:aba=b,abaaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19192 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:31,nodes:10,pairs:2,completionMax:7us [11m11s] 19192 ab:aba=b,abaaba=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbb=b,a=bb [11m11s] from: 19192 ab:aba=b,abaaba=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19193 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:54,nodes:8,pairs:2,completionMax:6us [11m11s] 19193 ab:aba=b,abaaba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19193 ab:aba=b,abaaba=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19194 solved: rounds:2,rules:4,peak:8,longest:4,steps:3,word:0,work:344,nodes:18,pairs:15,completionMax:41us [11m11s] 19194 ab:aba=b,abaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19194 ab:aba=b,abaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19195 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:126,nodes:14,pairs:8,completionMax:21us [11m11s] 19195 ab:aba=b,abaabb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19195 ab:aba=b,abaabb=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19196 solved: rounds:2,rules:4,peak:8,longest:4,steps:4,word:0,work:441,nodes:16,pairs:14,completionMax:34us [11m11s] 19196 ab:aba=b,ababab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19196 ab:aba=b,ababab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19197 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:129,nodes:14,pairs:8,completionMax:20us [11m11s] 19197 ab:aba=b,ababab=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19197 ab:aba=b,ababab=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19198 solved: rounds:3,rules:4,peak:6,longest:4,steps:3,word:0,work:248,nodes:14,pairs:12,completionMax:44us [11m11s] 19198 ab:aba=b,ababba=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19198 ab:aba=b,ababba=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19199 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:181,nodes:14,pairs:9,completionMax:31us [11m11s] 19199 ab:aba=b,ababba=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19199 ab:aba=b,ababba=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19200 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:41,nodes:18,pairs:2,completionMax:10us [11m11s] 19200 ab:aba=b,ababbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19200 ab:aba=b,ababbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19201 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:94,nodes:12,pairs:5,completionMax:15us [11m11s] 19201 ab:aba=b,ababbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19201 ab:aba=b,ababbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19202 solved: rounds:2,rules:4,peak:9,longest:6,steps:4,word:0,work:779,nodes:28,pairs:27,completionMax:78us [11m11s] 19202 ab:aba=b,abbaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19202 ab:aba=b,abbaab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19203 solved: rounds:4,rules:3,peak:12,longest:8,steps:5,word:8,work:2840,nodes:36,pairs:55,completionMax:248us [11m11s] 19203 ab:aba=b,abbaab=b infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19203 ab:aba=b,abbaab=b infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19204 solved: rounds:2,rules:2,peak:6,longest:9,steps:3,word:6,work:334,nodes:30,pairs:9,completionMax:42us [11m11s] 19204 ab:aba=b,abbabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19204 ab:aba=b,abbabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19205 solved: rounds:3,rules:3,peak:8,longest:6,steps:3,word:0,work:698,nodes:28,pairs:17,completionMax:63us [11m11s] 19205 ab:aba=b,abbabb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19205 ab:aba=b,abbabb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19206 solved: rounds:2,rules:2,peak:6,longest:9,steps:4,word:3,work:319,nodes:28,pairs:13,completionMax:47us [11m11s] 19206 ab:aba=b,abbbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19206 ab:aba=b,abbbab=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19207 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:0,work:763,nodes:26,pairs:19,completionMax:75us [11m11s] 19207 ab:aba=b,abbbab=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19207 ab:aba=b,abbbab=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19208 solved: rounds:3,rules:2,peak:8,longest:13,steps:4,word:11,work:1150,nodes:44,pairs:21,completionMax:99us [11m11s] 19208 ab:aba=b,abbbba=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19208 ab:aba=b,abbbba=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19209 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:0,work:1046,nodes:32,pairs:23,completionMax:100us [11m11s] 19209 ab:aba=b,abbbba=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19209 ab:aba=b,abbbba=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19210 solved: rounds:3,rules:4,peak:7,longest:6,steps:5,word:0,work:560,nodes:24,pairs:11,completionMax:56us [11m11s] 19210 ab:aba=b,abbbbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aaa=a,aab=b,bbbbb=aa [11m11s] from: 19210 ab:aba=b,abbbbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 to: 19070 ab:aab=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 a=a,b=b [11m11s] # 19211 solved: rounds:3,rules:3,peak:5,longest:9,steps:2,word:3,work:255,nodes:22,pairs:9,completionMax:39us [11m11s] 19211 ab:aba=b,abbbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb [11m11s] # 19212 solved: rounds:4,rules:4,peak:12,longest:19,steps:19,word:16,work:6242,nodes:84,pairs:37,completionMax:349us [11m11s] 19212 ab:aba=b,baaaab=a finite:21;idempotents:1,aaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaa=a,baaaaaaaaaa=b,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 19213 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:376,nodes:18,pairs:15,completionMax:52us [11m11s] 19213 ab:aba=b,baaaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19213 ab:aba=b,baaaab=b infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19214 solved: rounds:2,rules:4,peak:12,longest:6,steps:5,word:0,work:1396,nodes:32,pairs:16,completionMax:116us [11m11s] 19214 ab:aba=b,baaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19214 ab:aba=b,baaabb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19215 solved: rounds:6,rules:3,peak:11,longest:8,steps:12,word:8,work:4206,nodes:34,pairs:53,completionMax:295us [11m11s] 19215 ab:aba=b,baaabb=b infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19215 ab:aba=b,baaabb=b infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19216 solved: rounds:2,rules:4,peak:8,longest:4,steps:3,word:0,work:346,nodes:18,pairs:15,completionMax:52us [11m11s] 19216 ab:aba=b,baabab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,aab=b,bbb=aa [11m11s] from: 19216 ab:aba=b,baabab=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2074 ab:aab=b,babb=a finite:7;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb;commutative:ab:a3=a,a2b=b,b3=a2;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19217 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:128,nodes:14,pairs:8,completionMax:36us [11m11s] 19217 ab:aba=b,baabab=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19217 ab:aba=b,baabab=b infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19218 solved: rounds:3,rules:4,peak:8,longest:7,steps:20,word:8,work:2370,nodes:32,pairs:27,completionMax:166us [11m11s] 19218 ab:aba=b,baabbb=a finite:25;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bbbb=aaa [11m11s] # 19219 solved: rounds:2,rules:3,peak:8,longest:6,steps:4,word:0,work:548,nodes:28,pairs:10,completionMax:44us [11m11s] 19219 ab:aba=b,baabbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19219 ab:aba=b,baabbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19220 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:42,nodes:18,pairs:2,completionMax:12us [11m11s] 19220 ab:aba=b,bababb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19220 ab:aba=b,bababb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19221 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:95,nodes:12,pairs:5,completionMax:17us [11m11s] 19221 ab:aba=b,bababb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19221 ab:aba=b,bababb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19222 solved: rounds:3,rules:4,peak:9,longest:7,steps:12,word:8,work:2391,nodes:34,pairs:29,completionMax:171us [11m11s] 19222 ab:aba=b,babbab=a finite:25;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa a/b - - ab:aaaaaaa=a,baaaaaa=b,ab=baaaaa,bbbb=aaa [11m11s] from: 19222 ab:aba=b,babbab=a finite:25;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa to: 19218 ab:aba=b,baabbb=a finite:25;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa a=a,b=b [11m11s] # 19223 solved: rounds:2,rules:3,peak:6,longest:6,steps:6,word:0,work:554,nodes:22,pairs:18,completionMax:66us [11m11s] 19223 ab:aba=b,babbab=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19223 ab:aba=b,babbab=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19224 solved: rounds:2,rules:4,peak:8,longest:6,steps:5,word:0,work:641,nodes:30,pairs:18,completionMax:74us [11m11s] 19224 ab:aba=b,babbbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aaa=a,aab=b,bbbbb=aa [11m11s] from: 19224 ab:aba=b,babbbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 to: 19070 ab:aab=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 a=a,b=b [11m11s] # 19225 solved: rounds:2,rules:3,peak:4,longest:9,steps:2,word:3,work:191,nodes:20,pairs:8,completionMax:31us [11m11s] 19225 ab:aba=b,babbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb [11m11s] from: 19225 ab:aba=b,babbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19211 ab:aba=b,abbbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19226 solved: rounds:3,rules:2,peak:9,longest:12,steps:10,word:6,work:2013,nodes:42,pairs:15,completionMax:127us [11m11s] 19226 ab:aba=b,bbaabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbb=b,a=bbbb [11m11s] from: 19226 ab:aba=b,bbaabb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=bbbb,b=b [11m11s] # 19227 solved: rounds:4,rules:3,peak:11,longest:6,steps:6,word:0,work:2627,nodes:42,pairs:38,completionMax:181us [11m11s] 19227 ab:aba=b,bbaabb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19227 ab:aba=b,bbaabb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19228 solved: rounds:2,rules:4,peak:8,longest:6,steps:5,word:0,work:686,nodes:24,pairs:10,completionMax:65us [11m11s] 19228 ab:aba=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aaa=a,aab=b,bbbbb=aa [11m11s] from: 19228 ab:aba=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 to: 19070 ab:aab=b,bbabbb=a finite:11;idempotents:1,aa;center:1,a,b,aa,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a3=a,a2b=b,b5=a2;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 a=a,b=b [11m11s] # 19229 solved: rounds:3,rules:3,peak:7,longest:9,steps:6,word:6,work:1376,nodes:32,pairs:20,completionMax:84us [11m11s] 19229 ab:aba=b,bbabbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb [11m11s] from: 19229 ab:aba=b,bbabbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19211 ab:aba=b,abbbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19230 solved: rounds:1,rules:2,peak:2,longest:13,steps:1,word:5,work:52,nodes:26,pairs:2,completionMax:14us [11m11s] 19230 ab:aba=b,bbbbbb=a finite:13;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b,a=b6;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:12 b/a - - ab:bbbbbbbbbbbbb=b,a=bbbbbb [11m11s] from: 19230 ab:aba=b,bbbbbb=a finite:13;idempotents:1,bbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b,a=b6;saturation:a:a12=1;noncancellative:bbbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=aaaaaa,b=a [11m11s] # 19231 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:133,nodes:16,pairs:5,completionMax:21us [11m11s] 19231 ab:aba=b,bbbbbb=b infinite;commutative:ab:a2b=b,b6=b;saturation:ab:b2=1,a5=1;noncancellative:aa,1,ab,ab;smith:10 ab - - ab:ba=ab,aab=b,bbbbbb=b [11m11s] # 19232 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:38,nodes:6,pairs:0,completionMax:5us [11m11s] 19232 ab:aaa=a,aaaaa=aa infinite ab - - ab:aa=a [11m11s] from: 19232 ab:aaa=a,aaaaa=aa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m11s] # 19233 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m11s] 19233 ab:aaa=a,aaaaa=ab infinite ab - - ab:ab=a,aaa=a [11m11s] from: 19233 ab:aaa=a,aaaaa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m11s] # 19234 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:3,work:89,nodes:12,pairs:3,completionMax:12us [11m11s] 19234 ab:aaa=a,aaaaa=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 b/a - - ab:bbbbbb=bb,a=bb [11m11s] from: 19234 ab:aaa=a,aaaaa=bb finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b2,a=b2;saturation:a:a4=1;noncancellative:bbbb,1,bbb,bbb;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=aa,b=a [11m11s] # 19235 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:5us [11m11s] 19235 ab:aaa=a,aaaab=aa infinite ab - - ab:ab=a,aaa=a [11m11s] from: 19235 ab:aaa=a,aaaab=aa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m11s] # 19236 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:6,pairs:0,completionMax:2us [11m11s] 19236 ab:aaa=a,aaaab=ab infinite ab - - ab:aaa=a,aab=ab [11m11s] # 19237 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:26,nodes:6,pairs:0,completionMax:3us [11m11s] 19237 ab:aaa=a,aaaab=ba infinite reversed:a/b - - ab:aaa=a,ba=aab [11m11s] from: 19237 ab:aaa=a,aaaab=ba infinite to: 1691 ab:abb=ba,bbb=b infinite anti:a=b,b=a [11m11s] # 19238 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:61,nodes:12,pairs:1,completionMax:6us [11m11s] 19238 ab:aaa=a,aaaab=bb infinite a/b - - ab:aaa=a,bb=aab,baab=aab [11m11s] from: 19238 ab:aaa=a,aaaab=bb infinite to: 1687 ab:abb=aa,bbb=b infinite anti:a=b,b=a [11m11s] # 19239 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:8,pairs:0,completionMax:4us [11m11s] 19239 ab:aaa=a,aaaba=aa infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 19239 ab:aaa=a,aaaba=aa infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 19240 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:75,nodes:12,pairs:6,completionMax:17us [11m11s] 19240 ab:aaa=a,aaaba=ab infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaa=a,aac=c [11m11s] # 19241 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:86,nodes:18,pairs:5,completionMax:18us [11m11s] 19241 ab:aaa=a,aaaba=ba infinite acb ba=c frequency:2/1 abc:ac=c,ba=c,bc=cc,aaa=a,caa=c [11m11s] # 19242 solved: rounds:3,rules:5,peak:5,longest:8,steps:18,word:1,work:1603,nodes:28,pairs:5,completionMax:42us [11m11s] 19242 ab:aaa=a,aaaba=bb finite:27;idempotents:1,aa,baabaabaa;center:1,baba,baabaab,baabaabaa a/b - - ab:aaa=a,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [11m11s] from: 19242 ab:aaa=a,aaaba=bb finite:27;idempotents:1,aa,baabaabaa;center:1,baba,baabaab,baabaabaa to: 1695 ab:bab=aa,bbb=b finite:27;idempotents:1,bb,abbabbabb;center:1,abab,abbabba,abbabbabb a=b,b=a [11m11s] # 19243 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m11s] 19243 ab:aaa=a,aaabb=aa infinite ab - - ab:aaa=a,abb=aa [11m11s] from: 19243 ab:aaa=a,aaabb=aa infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [11m11s] # 19244 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:1us [11m11s] 19244 ab:aaa=a,aaabb=ab infinite ab - - ab:aaa=a,abb=ab [11m11s] # 19245 solved: rounds:1,rules:3,peak:3,longest:9,steps:9,word:6,work:140,nodes:22,pairs:1,completionMax:8us [11m11s] 19245 ab:aaa=a,aaabb=ba infinite b/a - - ab:abbbbbbbb=abb,ba=abb,aaa=a [11m11s] from: 19245 ab:aaa=a,aaabb=ba infinite to: 1645 ab:aab=ba,bbb=b infinite anti:a=b,b=a [11m11s] # 19246 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:2us [11m11s] 19246 ab:aaa=a,aaabb=bb infinite ab - - ab:aaa=a,abb=bb [11m11s] # 19247 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:226,nodes:14,pairs:6,completionMax:31us [11m11s] 19247 ab:aaa=a,aabaa=aa infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 19247 ab:aaa=a,aabaa=aa infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 19248 solved: rounds:1,rules:5,peak:7,longest:5,steps:3,word:0,work:203,nodes:18,pairs:8,completionMax:31us [11m11s] 19248 ab:aaa=a,aabaa=ab infinite acb ab=c frequency:2/0 abc:ac=c,ab=c,cb=cc,aaa=a,caa=c [11m11s] # 19249 solved: rounds:2,rules:4,peak:4,longest:7,steps:8,word:3,work:560,nodes:24,pairs:2,completionMax:22us [11m11s] 19249 ab:aaa=a,aabaa=bb infinite a/b - - ab:aaa=a,bb=aabaa,abaabaa=abaab,aabaab=baabaa [11m11s] # 19250 solved: rounds:3,rules:3,peak:3,longest:5,steps:3,word:0,work:131,nodes:14,pairs:7,completionMax:27us [11m11s] 19250 ab:aaa=a,aabab=aa infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 19250 ab:aaa=a,aabab=aa infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 19251 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:80,nodes:14,pairs:3,completionMax:13us [11m11s] 19251 ab:aaa=a,aabab=ab infinite ab - - ab:aaa=a,abab=aab,abaab=ab [11m11s] # 19252 solved: rounds:3,rules:5,peak:6,longest:5,steps:4,word:0,work:456,nodes:20,pairs:13,completionMax:69us [11m11s] 19252 ab:aaa=a,aabab=ba infinite ab - - ab:aaa=a,bab=ba,bba=ba,aaba=ba,baab=baa [11m11s] # 19253 solved: rounds:2,rules:4,peak:4,longest:5,steps:1,word:0,work:90,nodes:18,pairs:4,completionMax:18us [11m11s] 19253 ab:aaa=a,aabab=bb infinite ab - - ab:aaa=a,aabb=bb,abab=abb,bbab=bbb [11m11s] # 19254 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:81,nodes:14,pairs:2,completionMax:21us [11m11s] 19254 ab:aaa=a,aabba=aa infinite ab - - ab:aaa=a,abba=a [11m11s] from: 19254 ab:aaa=a,aabba=aa infinite to: 1990 ab:aaa=a,abba=a infinite a=a,b=b [11m11s] # 19255 solved: rounds:3,rules:4,peak:5,longest:6,steps:7,word:1,work:1125,nodes:22,pairs:17,completionMax:63us [11m11s] 19255 ab:aaa=a,aabba=ab infinite reversed:a/b - - ab:aaa=a,abaa=ab,abb=aaba,ababa=aabab [11m11s] # 19256 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:462,nodes:20,pairs:15,completionMax:34us [11m11s] 19256 ab:aaa=a,aabba=ba infinite ab - - ab:aaa=a,bba=ba,aaba=ba [11m11s] # 19257 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:0,work:322,nodes:22,pairs:14,completionMax:51us [11m11s] 19257 ab:aaa=a,aabba=bb infinite ab - - ab:aaa=a,bba=bb,aabb=bb [11m11s] # 19258 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:14,pairs:1,completionMax:9us [11m11s] 19258 ab:aaa=a,aabbb=aa infinite ab - - ab:aaa=a,abbb=a [11m11s] from: 19258 ab:aaa=a,aabbb=aa infinite to: 1992 ab:aaa=a,abbb=a infinite a=a,b=b [11m11s] # 19259 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:14,pairs:1,completionMax:7us [11m11s] 19259 ab:aaa=a,aabbb=ab infinite ab - - ab:aaa=a,abbb=aab [11m11s] # 19260 solved: rounds:5,rules:7,peak:21,longest:28,steps:19,word:23,work:43486,nodes:98,pairs:135,completionMax:1037us [11m11s] 19260 ab:aaa=a,aabbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbb=abbb,babbbbbbbbbbbb=ba,bba=babbbbbbbbb,aabbb=ba,aba=abbb,baa=babbbbbb,aaa=a [11m11s] # 19261 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:99,nodes:16,pairs:4,completionMax:17us [11m11s] 19261 ab:aaa=a,aabbb=bb infinite ab - - ab:aaa=a,bbb=bb,aabb=bb [11m11s] # 19262 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:137,nodes:12,pairs:5,completionMax:19us [11m11s] 19262 ab:aaa=a,abaab=aa infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 19262 ab:aaa=a,abaab=aa infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 19263 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:5us [11m11s] 19263 ab:aaa=a,abaab=ab infinite ab - - ab:aaa=a,abaab=ab [11m11s] # 19264 solved: rounds:2,rules:6,peak:9,longest:6,steps:6,word:2,work:1393,nodes:28,pairs:15,completionMax:100us [11m11s] 19264 ab:aaa=a,abaab=ba infinite b/a - - ab:babbb=ba,bba=babb,baa=ababb,baba=abab,aaa=a,aaba=ba [11m11s] # 19265 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:76,nodes:18,pairs:3,completionMax:13us [11m11s] 19265 ab:aaa=a,abaab=bb infinite ba - - ab:aaa=a,abbb=bbb,aabb=bb,ababb=bbaab,abaab=bb [11m11s] # 19266 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:131,nodes:12,pairs:1,completionMax:11us [11m11s] 19266 ab:aaa=a,ababa=aa infinite ab - - ab:aaa=a,abaa=aaba,ababa=aa [11m11s] from: 19266 ab:aaa=a,ababa=aa infinite to: 18706 ab:aaa=a,aababa=a infinite a=a,b=b [11m11s] # 19267 solved: rounds:2,rules:4,peak:6,longest:5,steps:4,word:0,work:471,nodes:14,pairs:12,completionMax:37us [11m11s] 19267 ab:aaa=a,ababa=ab infinite ab - - ab:aaa=a,abb=ab,abaa=ab,abab=aba [11m11s] # 19268 solved: rounds:3,rules:8,peak:8,longest:6,steps:4,word:0,work:913,nodes:34,pairs:8,completionMax:84us [11m11s] 19268 ab:aaa=a,ababa=bb infinite ab - - ab:aaa=a,aabb=bb,bbaa=bb,bbba=abbb,ababa=bb,ababbb=bbabb,abbabb=babbb,bbabba=abbbb [11m11s] # 19269 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:5us [11m11s] 19269 ab:aaa=a,ababb=aa infinite ab - - ab:aaa=a,ababb=aa [11m11s] from: 19269 ab:aaa=a,ababb=aa infinite to: 18708 ab:aaa=a,aababb=a infinite a=a,b=b [11m11s] # 19270 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:1us [11m11s] 19270 ab:aaa=a,ababb=ab infinite ab - - ab:aaa=a,ababb=ab [11m11s] # 19271 solved: rounds:4,rules:11,peak:18,longest:7,steps:6,word:0,work:8732,nodes:56,pairs:35,completionMax:324us [11m11s] 19271 ab:aaa=a,ababb=ba infinite reversed:ab - - ab:aaa=a,aaba=ba,babb=aba,aabba=bba,baabb=bbbaa,bababa=abbbaa,abbaba=bbabaa,bbbaba=abbaa,aabbba=bbba,abbbba=bbbbaa,bbbbba=ba [11m11s] # 19272 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:19,nodes:14,pairs:1,completionMax:6us [11m11s] 19272 ab:aaa=a,ababb=bb infinite ab - - ab:aaa=a,aabb=bb,ababb=bb [11m11s] # 19273 solved: rounds:4,rules:4,peak:15,longest:9,steps:9,word:0,work:6392,nodes:36,pairs:140,completionMax:365us [11m11s] 19273 ab:aaa=a,abbab=aa infinite ab - - ab:aaa=a,aba=aab,abba=aabb,abbb=a [11m11s] from: 19273 ab:aaa=a,abbab=aa infinite to: 12360 ab:aaba=ab,abbb=a infinite a=a,b=b [11m11s] # 19274 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:3us [11m11s] 19274 ab:aaa=a,abbab=ab infinite ab - - ab:aaa=a,abbab=ab [11m11s] # 19275 solved: rounds:7,rules:8,peak:21,longest:9,steps:7,word:2,work:15760,nodes:72,pairs:94,completionMax:804us [11m11s] 19275 ab:aaa=a,abbab=ba infinite reversed:b/a - - ab:bbbbba=ba,babbbb=ba,aba=bbab,abba=babbb,abbba=bbbabb,abbbba=bbbbaa,baab=bbaa,aaa=a [11m11s] # 19276 solved: rounds:4,rules:4,peak:5,longest:8,steps:6,word:3,work:632,nodes:32,pairs:10,completionMax:46us [11m11s] 19276 ab:aaa=a,abbab=bb infinite reversed:b/a - - ab:bbbbbb=bbb,abb=bbab,bbabab=bb,aaa=a [11m11s] # 19277 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:39,nodes:12,pairs:0,completionMax:4us [11m11s] 19277 ab:aaa=a,abbba=aa infinite ab - - ab:aaa=a,abbba=aa [11m11s] from: 19277 ab:aaa=a,abbba=aa infinite to: 18714 ab:aaa=a,aabbba=a infinite a=a,b=b [11m11s] # 19278 solved: rounds:3,rules:6,peak:9,longest:8,steps:3,word:1,work:1435,nodes:22,pairs:42,completionMax:211us [11m11s] 19278 ab:aaa=a,abbba=ab infinite b/a - - ab:abbbbb=ab,aba=abbb,abba=abbbb,abbba=ab,abbbba=abb,aaa=a [11m11s] # 19279 solved: rounds:3,rules:5,peak:7,longest:9,steps:6,word:4,work:1326,nodes:40,pairs:14,completionMax:98us [11m11s] 19279 ab:aaa=a,abbba=bb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aabb=bb,aaa=a [11m11s] # 19280 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m11s] 19280 ab:aaa=a,abbbb=aa infinite ab - - ab:aaa=a,abbbb=aa [11m11s] from: 19280 ab:aaa=a,abbbb=aa infinite to: 18716 ab:aaa=a,aabbbb=a infinite a=a,b=b [11m11s] # 19281 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [11m11s] 19281 ab:aaa=a,abbbb=ab infinite ab - - ab:aaa=a,abbbb=ab [11m11s] # 19282 solved: rounds:1,rules:3,peak:3,longest:65,steps:67,word:60,work:2874,nodes:134,pairs:1,completionMax:56us [11m11s] 19282 ab:aaa=a,abbbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=abbbb,ba=abbbb,aaa=a [11m11s] # 19283 solved: rounds:3,rules:3,peak:4,longest:6,steps:1,word:1,work:77,nodes:18,pairs:4,completionMax:18us [11m11s] 19283 ab:aaa=a,abbbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aaa=a [11m11s] # 19284 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:77,nodes:10,pairs:3,completionMax:13us [11m11s] 19284 ab:aaa=a,baaab=aa infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [11m11s] from: 19284 ab:aaa=a,baaab=aa infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19285 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:61,nodes:12,pairs:1,completionMax:7us [11m11s] 19285 ab:aaa=a,baaab=ab infinite ab - - ab:aaa=a,bab=ab,baab=aab [11m11s] # 19286 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m11s] 19286 ab:aaa=a,baaab=bb infinite ab - - ab:aaa=a,bab=bb [11m11s] # 19287 solved: rounds:5,rules:6,peak:10,longest:10,steps:8,word:6,work:3285,nodes:30,pairs:33,completionMax:173us [11m11s] 19287 ab:aaa=a,baabb=aa infinite b/a - - ab:abbbbbb=a,bbba=a,baa=aabbbb,aaa=a,aaba=ba,aabba=bba [11m11s] # 19288 solved: rounds:4,rules:4,peak:6,longest:7,steps:7,word:2,work:1114,nodes:20,pairs:23,completionMax:64us [11m11s] 19288 ab:aaa=a,baabb=ab infinite b/a - - ab:abbbbb=ab,bab=abb,aab=abbb,aaa=a [11m11s] # 19289 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:62,nodes:16,pairs:1,completionMax:8us [11m11s] 19289 ab:aaa=a,baabb=ba infinite ab - - ab:aaa=a,babb=baa,baabb=ba [11m11s] # 19290 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [11m11s] 19290 ab:aaa=a,baabb=bb infinite ab - - ab:aaa=a,baabb=bb [11m11s] # 19291 solved: rounds:2,rules:3,peak:3,longest:5,steps:6,word:0,work:145,nodes:14,pairs:5,completionMax:13us [11m11s] 19291 ab:aaa=a,babab=aa infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aaa=a,abbb=a [11m11s] from: 19291 ab:aaa=a,babab=aa infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 12288 ab:aaab=ba,babb=a infinite;commutative:ab:a3=a,ab3=a;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19292 solved: rounds:3,rules:5,peak:5,longest:6,steps:3,word:0,work:581,nodes:28,pairs:12,completionMax:36us [11m11s] 19292 ab:aaa=a,babab=ab infinite ba - - ab:aaa=a,bbab=aab,abab=baab,bbaab=ab,abaab=bab [11m11s] # 19293 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:86,nodes:18,pairs:1,completionMax:9us [11m11s] 19293 ab:aaa=a,babab=bb infinite ab - - ab:aaa=a,bbab=babb,babab=bb [11m11s] # 19294 solved: rounds:5,rules:3,peak:19,longest:37,steps:33,word:43,work:62326,nodes:160,pairs:117,completionMax:1325us [11m11s] 19294 ab:aaa=a,babbb=aa infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=abbbbbbbbbbbb [11m11s] from: 19294 ab:aaa=a,babbb=aa infinite to: 18746 ab:aaa=a,baabbb=a infinite a=a,b=b [11m11s] # 19295 solved: rounds:4,rules:4,peak:11,longest:11,steps:12,word:9,work:6013,nodes:48,pairs:48,completionMax:212us [11m11s] 19295 ab:aaa=a,babbb=ab infinite b/a - - ab:abbbbbbb=ab,bab=abbbbb,baab=aabbbbb,aaa=a [11m11s] # 19296 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:68,nodes:20,pairs:1,completionMax:8us [11m11s] 19296 ab:aaa=a,babbb=ba infinite ab - - ab:aaa=a,babbb=ba,baabbb=baa [11m11s] # 19297 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [11m11s] 19297 ab:aaa=a,babbb=bb infinite ab - - ab:aaa=a,babbb=bb [11m11s] # 19298 solved: rounds:3,rules:3,peak:5,longest:10,steps:6,word:3,work:1050,nodes:30,pairs:19,completionMax:67us [11m11s] 19298 ab:aaa=a,bbabb=aa infinite b/a - - ab:abbbbbbbb=a,bba=abb,aa=abbbb [11m11s] from: 19298 ab:aaa=a,bbabb=aa infinite to: 18754 ab:aaa=a,bbaabb=a infinite a=a,b=b [11m11s] # 19299 solved: rounds:5,rules:6,peak:13,longest:7,steps:4,word:0,work:4870,nodes:54,pairs:71,completionMax:257us [11m11s] 19299 ab:aaa=a,bbabb=ab infinite ab - - ab:aaa=a,abab=aabb,bbab=abbb,abaab=abb,abbbb=ab,bbaab=aabbb [11m11s] # 19300 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:27,nodes:14,pairs:0,completionMax:3us [11m11s] 19300 ab:aaa=a,bbabb=bb infinite ab - - ab:aaa=a,bbabb=bb [11m11s] # 19301 solved: rounds:1,rules:4,peak:4,longest:10,steps:1,word:3,work:323,nodes:30,pairs:5,completionMax:32us [11m11s] 19301 ab:aaa=a,bbbbb=aa infinite b/a - - ab:bbbbbbbbbb=bbbbb,abbbbb=a,bbbbba=a,aa=bbbbb [11m11s] # 19302 solved: rounds:1,rules:3,peak:3,longest:13,steps:2,word:6,work:158,nodes:30,pairs:1,completionMax:17us [11m11s] 19302 ab:aaa=a,bbbbb=ab finite:39;idempotents:1,aa,bbbbbbbb,bbbbbbbbaa,bbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbb=bbbbb,ab=bbbbb,aaa=a [11m11s] # 19303 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:26,nodes:14,pairs:0,completionMax:3us [11m11s] 19303 ab:aaa=a,bbbbb=bb infinite ab - - ab:aaa=a,bbbbb=bb [11m11s] # 19304 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:20,nodes:10,pairs:0,completionMax:2us [11m11s] 19304 ab:aaa=b,aaaaa=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaa=aa,b=aaa [11m11s] from: 19304 ab:aaa=b,aaaaa=aa finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=a,b=aaa [11m11s] # 19305 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:102,nodes:10,pairs:0,completionMax:3us [11m11s] 19305 ab:aaa=b,aaaaa=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aaa [11m11s] from: 19305 ab:aaa=b,aaaaa=ab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bbb [11m11s] # 19306 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:4,work:185,nodes:12,pairs:0,completionMax:4us [11m11s] 19306 ab:aaa=b,aaaaa=bb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19306 ab:aaa=b,aaaaa=bb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19307 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:33,nodes:14,pairs:0,completionMax:4us [11m11s] 19307 ab:aaa=b,aaaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaa [11m11s] from: 19307 ab:aaa=b,aaaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaa [11m11s] # 19308 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:77,nodes:14,pairs:0,completionMax:3us [11m11s] 19308 ab:aaa=b,aaaab=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19308 ab:aaa=b,aaaab=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19309 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:76,nodes:14,pairs:0,completionMax:7us [11m11s] 19309 ab:aaa=b,aaaab=ba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19309 ab:aaa=b,aaaab=ba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19310 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:304,nodes:14,pairs:0,completionMax:7us [11m11s] 19310 ab:aaa=b,aaaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19310 ab:aaa=b,aaaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19311 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:32,nodes:14,pairs:0,completionMax:6us [11m11s] 19311 ab:aaa=b,aaaba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaa [11m11s] from: 19311 ab:aaa=b,aaaba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaa [11m11s] # 19312 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:76,nodes:14,pairs:0,completionMax:5us [11m11s] 19312 ab:aaa=b,aaaba=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19312 ab:aaa=b,aaaba=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19313 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:75,nodes:14,pairs:0,completionMax:4us [11m11s] 19313 ab:aaa=b,aaaba=ba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19313 ab:aaa=b,aaaba=ba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19314 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:303,nodes:14,pairs:0,completionMax:9us [11m11s] 19314 ab:aaa=b,aaaba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19314 ab:aaa=b,aaaba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19315 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:47,nodes:18,pairs:0,completionMax:7us [11m11s] 19315 ab:aaa=b,aaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19315 ab:aaa=b,aaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19316 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:85,nodes:18,pairs:0,completionMax:7us [11m11s] 19316 ab:aaa=b,aaabb=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19316 ab:aaa=b,aaabb=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19317 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:84,nodes:18,pairs:0,completionMax:7us [11m11s] 19317 ab:aaa=b,aaabb=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19317 ab:aaa=b,aaabb=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19318 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:178,nodes:18,pairs:0,completionMax:7us [11m11s] 19318 ab:aaa=b,aaabb=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19318 ab:aaa=b,aaabb=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19319 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:2,work:31,nodes:14,pairs:0,completionMax:6us [11m11s] 19319 ab:aaa=b,aabaa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaa [11m11s] from: 19319 ab:aaa=b,aabaa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaa [11m11s] # 19320 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:75,nodes:14,pairs:0,completionMax:5us [11m11s] 19320 ab:aaa=b,aabaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19320 ab:aaa=b,aabaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19321 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:302,nodes:14,pairs:0,completionMax:8us [11m11s] 19321 ab:aaa=b,aabaa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19321 ab:aaa=b,aabaa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19322 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:46,nodes:18,pairs:0,completionMax:6us [11m11s] 19322 ab:aaa=b,aabab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19322 ab:aaa=b,aabab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19323 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:84,nodes:18,pairs:0,completionMax:7us [11m11s] 19323 ab:aaa=b,aabab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19323 ab:aaa=b,aabab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19324 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:83,nodes:18,pairs:0,completionMax:6us [11m11s] 19324 ab:aaa=b,aabab=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19324 ab:aaa=b,aabab=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19325 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:177,nodes:18,pairs:0,completionMax:8us [11m11s] 19325 ab:aaa=b,aabab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19325 ab:aaa=b,aabab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19326 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:45,nodes:18,pairs:0,completionMax:10us [11m11s] 19326 ab:aaa=b,aabba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19326 ab:aaa=b,aabba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19327 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:83,nodes:18,pairs:0,completionMax:7us [11m11s] 19327 ab:aaa=b,aabba=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19327 ab:aaa=b,aabba=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19328 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:82,nodes:18,pairs:0,completionMax:6us [11m11s] 19328 ab:aaa=b,aabba=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19328 ab:aaa=b,aabba=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19329 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:176,nodes:18,pairs:0,completionMax:8us [11m11s] 19329 ab:aaa=b,aabba=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19329 ab:aaa=b,aabba=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19330 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:62,nodes:22,pairs:0,completionMax:7us [11m11s] 19330 ab:aaa=b,aabbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19330 ab:aaa=b,aabbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19331 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:108,nodes:22,pairs:0,completionMax:9us [11m11s] 19331 ab:aaa=b,aabbb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19331 ab:aaa=b,aabbb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19332 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:107,nodes:22,pairs:0,completionMax:9us [11m11s] 19332 ab:aaa=b,aabbb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19332 ab:aaa=b,aabbb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19333 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:177,nodes:22,pairs:0,completionMax:10us [11m11s] 19333 ab:aaa=b,aabbb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19333 ab:aaa=b,aabbb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19334 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:45,nodes:18,pairs:0,completionMax:7us [11m11s] 19334 ab:aaa=b,abaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19334 ab:aaa=b,abaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19335 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:83,nodes:18,pairs:0,completionMax:7us [11m11s] 19335 ab:aaa=b,abaab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19335 ab:aaa=b,abaab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19336 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:82,nodes:18,pairs:0,completionMax:6us [11m11s] 19336 ab:aaa=b,abaab=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19336 ab:aaa=b,abaab=ba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19337 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:176,nodes:18,pairs:0,completionMax:6us [11m11s] 19337 ab:aaa=b,abaab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19337 ab:aaa=b,abaab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19338 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:44,nodes:18,pairs:0,completionMax:9us [11m11s] 19338 ab:aaa=b,ababa=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19338 ab:aaa=b,ababa=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19339 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:82,nodes:18,pairs:0,completionMax:6us [11m11s] 19339 ab:aaa=b,ababa=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19339 ab:aaa=b,ababa=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19340 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:175,nodes:18,pairs:0,completionMax:6us [11m11s] 19340 ab:aaa=b,ababa=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19340 ab:aaa=b,ababa=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19341 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:61,nodes:22,pairs:0,completionMax:8us [11m11s] 19341 ab:aaa=b,ababb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19341 ab:aaa=b,ababb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19342 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:107,nodes:22,pairs:0,completionMax:8us [11m11s] 19342 ab:aaa=b,ababb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19342 ab:aaa=b,ababb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19343 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:106,nodes:22,pairs:0,completionMax:7us [11m11s] 19343 ab:aaa=b,ababb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19343 ab:aaa=b,ababb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19344 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:176,nodes:22,pairs:0,completionMax:7us [11m11s] 19344 ab:aaa=b,ababb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19344 ab:aaa=b,ababb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19345 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:60,nodes:22,pairs:0,completionMax:8us [11m11s] 19345 ab:aaa=b,abbab=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19345 ab:aaa=b,abbab=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19346 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:106,nodes:22,pairs:0,completionMax:11us [11m11s] 19346 ab:aaa=b,abbab=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19346 ab:aaa=b,abbab=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19347 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:105,nodes:22,pairs:0,completionMax:6us [11m11s] 19347 ab:aaa=b,abbab=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19347 ab:aaa=b,abbab=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19348 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:175,nodes:22,pairs:0,completionMax:11us [11m11s] 19348 ab:aaa=b,abbab=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19348 ab:aaa=b,abbab=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19349 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:59,nodes:22,pairs:0,completionMax:8us [11m11s] 19349 ab:aaa=b,abbba=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19349 ab:aaa=b,abbba=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19350 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:105,nodes:22,pairs:0,completionMax:6us [11m11s] 19350 ab:aaa=b,abbba=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19350 ab:aaa=b,abbba=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19351 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:174,nodes:22,pairs:0,completionMax:10us [11m11s] 19351 ab:aaa=b,abbba=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19351 ab:aaa=b,abbba=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19352 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:78,nodes:26,pairs:0,completionMax:10us [11m11s] 19352 ab:aaa=b,abbbb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aaa [11m11s] from: 19352 ab:aaa=b,abbbb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bbb [11m11s] # 19353 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:132,nodes:26,pairs:0,completionMax:12us [11m11s] 19353 ab:aaa=b,abbbb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19353 ab:aaa=b,abbbb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaa [11m11s] # 19354 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:131,nodes:26,pairs:0,completionMax:10us [11m11s] 19354 ab:aaa=b,abbbb=ba finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19354 ab:aaa=b,abbbb=ba finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaa [11m11s] # 19355 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:187,nodes:26,pairs:0,completionMax:11us [11m11s] 19355 ab:aaa=b,abbbb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19355 ab:aaa=b,abbbb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 18958 ab:aab=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a=b,b=bbb [11m11s] # 19356 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:44,nodes:18,pairs:0,completionMax:7us [11m11s] 19356 ab:aaa=b,baaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aaa [11m11s] from: 19356 ab:aaa=b,baaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a3;saturation:a:a7=1;noncancellative:aaaaaaa,1,aaaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bbb [11m11s] # 19357 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:82,nodes:18,pairs:0,completionMax:5us [11m11s] 19357 ab:aaa=b,baaab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19357 ab:aaa=b,baaab=ab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19358 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:4,work:175,nodes:18,pairs:0,completionMax:7us [11m11s] 19358 ab:aaa=b,baaab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19358 ab:aaa=b,baaab=bb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19359 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:60,nodes:22,pairs:0,completionMax:10us [11m11s] 19359 ab:aaa=b,baabb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19359 ab:aaa=b,baabb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19360 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:106,nodes:22,pairs:0,completionMax:9us [11m11s] 19360 ab:aaa=b,baabb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19360 ab:aaa=b,baabb=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19361 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:105,nodes:22,pairs:0,completionMax:9us [11m11s] 19361 ab:aaa=b,baabb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19361 ab:aaa=b,baabb=ba finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19362 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:175,nodes:22,pairs:0,completionMax:9us [11m11s] 19362 ab:aaa=b,baabb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19362 ab:aaa=b,baabb=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19363 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:59,nodes:22,pairs:0,completionMax:8us [11m11s] 19363 ab:aaa=b,babab=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aaa [11m11s] from: 19363 ab:aaa=b,babab=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19364 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:105,nodes:22,pairs:0,completionMax:9us [11m11s] 19364 ab:aaa=b,babab=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19364 ab:aaa=b,babab=ab finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19365 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:6,work:174,nodes:22,pairs:0,completionMax:9us [11m11s] 19365 ab:aaa=b,babab=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19365 ab:aaa=b,babab=bb finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a6,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 15671 ab:aab=ab,bbbbb=a finite:11;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b6,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19366 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:77,nodes:26,pairs:0,completionMax:12us [11m11s] 19366 ab:aaa=b,babbb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aaa [11m11s] from: 19366 ab:aaa=b,babbb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bbb [11m11s] # 19367 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:131,nodes:26,pairs:0,completionMax:12us [11m11s] 19367 ab:aaa=b,babbb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19367 ab:aaa=b,babbb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaa [11m11s] # 19368 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:130,nodes:26,pairs:0,completionMax:10us [11m11s] 19368 ab:aaa=b,babbb=ba finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19368 ab:aaa=b,babbb=ba finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaa [11m11s] # 19369 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:186,nodes:26,pairs:0,completionMax:9us [11m11s] 19369 ab:aaa=b,babbb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19369 ab:aaa=b,babbb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 18958 ab:aab=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a=b,b=bbb [11m11s] # 19370 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:76,nodes:26,pairs:0,completionMax:11us [11m11s] 19370 ab:aaa=b,bbabb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aaa [11m11s] from: 19370 ab:aaa=b,bbabb=aa finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bbb [11m11s] # 19371 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:130,nodes:26,pairs:0,completionMax:11us [11m11s] 19371 ab:aaa=b,bbabb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaaa=aaaa,b=aaa [11m11s] from: 19371 ab:aaa=b,bbabb=ab finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 4643 ab:aaaa=b,abbb=b finite:13;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a4,b=a4;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaa,aaaaa;smith:9 a=a,b=aaa [11m11s] # 19372 solved: rounds:0,rules:2,peak:2,longest:13,steps:4,word:8,work:185,nodes:26,pairs:0,completionMax:9us [11m11s] 19372 ab:aaa=b,bbabb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19372 ab:aaa=b,bbabb=bb finite:13;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a6,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 18958 ab:aab=a,bbbbbb=a finite:13;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b6,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 a=b,b=bbb [11m11s] # 19373 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:95,nodes:30,pairs:0,completionMax:9us [11m11s] 19373 ab:aaa=b,bbbbb=aa finite:15;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a2,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaa,1,aaaa,aaaa;smith:13 a/b - - ab:aaaaaaaaaaaaaaa=aa,b=aaa [11m11s] from: 19373 ab:aaa=b,bbbbb=aa finite:15;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a2,b=a3;saturation:a:a13=1;noncancellative:aaaaaaaaaaaaa,1,aaaa,aaaa;smith:13 to: 15543 ab:aaa=bb,bbbbb=a finite:15;idempotents:1,bbbbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b2,a=b5;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbb,bbbbbb;smith:13 a=b,b=bbb [11m11s] # 19374 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:157,nodes:30,pairs:0,completionMax:9us [11m11s] 19374 ab:aaa=b,bbbbb=ab finite:15;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a4,b=a3;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaaa,aaaaa;smith:11 a/b - - ab:aaaaaaaaaaaaaaa=aaaa,b=aaa [11m11s] # 19375 solved: rounds:0,rules:2,peak:2,longest:15,steps:5,word:10,work:220,nodes:30,pairs:0,completionMax:9us [11m11s] 19375 ab:aaa=b,bbbbb=bb finite:15;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a6,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:9 a/b - - ab:aaaaaaaaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19375 ab:aaa=b,bbbbb=bb finite:15;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=a6,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaaaaaa,aaaaaaaa;smith:9 to: 15503 ab:aaa=ab,bbbbb=a finite:15;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=b6,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbbb,b,bbbbbb,bbbbbbb;smith:9 a=b,b=bbb [11m11s] # 19376 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:89,nodes:10,pairs:2,completionMax:26us [11m11s] 19376 ab:aab=a,aaaaa=aa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19376 ab:aab=a,aaaaa=aa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19377 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:20,nodes:12,pairs:1,completionMax:6us [11m11s] 19377 ab:aab=a,aaaaa=ab infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 19377 ab:aab=a,aaaaa=ab infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 19378 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:3,work:177,nodes:16,pairs:3,completionMax:30us [11m11s] 19378 ab:aab=a,aaaaa=ba infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] from: 19378 ab:aab=a,aaaaa=ba infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=b [11m11s] # 19379 solved: rounds:2,rules:2,peak:7,longest:9,steps:13,word:5,work:1541,nodes:24,pairs:22,completionMax:96us [11m11s] 19379 ab:aab=a,aaaaa=bb finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbb=bb,a=bbbbbb [11m11s] from: 19379 ab:aab=a,aaaaa=bb finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=bbbbbb,b=b [11m11s] # 19380 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:69,nodes:6,pairs:4,completionMax:13us [11m11s] 19380 ab:aab=a,aaaab=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19380 ab:aab=a,aaaab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19381 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:19,nodes:8,pairs:1,completionMax:6us [11m11s] 19381 ab:aab=a,aaaab=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19381 ab:aab=a,aaaab=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19382 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:132,nodes:12,pairs:3,completionMax:23us [11m11s] 19382 ab:aab=a,aaaab=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19382 ab:aab=a,aaaab=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19383 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:316,nodes:16,pairs:18,completionMax:38us [11m11s] 19383 ab:aab=a,aaaab=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [11m11s] from: 19383 ab:aab=a,aaaab=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [11m11s] # 19384 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:68,nodes:6,pairs:4,completionMax:13us [11m11s] 19384 ab:aab=a,aaaba=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19384 ab:aab=a,aaaba=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19385 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:18,nodes:8,pairs:1,completionMax:6us [11m11s] 19385 ab:aab=a,aaaba=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19385 ab:aab=a,aaaba=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19386 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:131,nodes:12,pairs:3,completionMax:18us [11m11s] 19386 ab:aab=a,aaaba=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19386 ab:aab=a,aaaba=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19387 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:315,nodes:16,pairs:18,completionMax:54us [11m11s] 19387 ab:aab=a,aaaba=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [11m11s] from: 19387 ab:aab=a,aaaba=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [11m11s] # 19388 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:2,completionMax:5us [11m11s] 19388 ab:aab=a,aaabb=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19388 ab:aab=a,aaabb=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19389 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:1,completionMax:3us [11m11s] 19389 ab:aab=a,aaabb=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19389 ab:aab=a,aaabb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19390 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:93,nodes:8,pairs:5,completionMax:23us [11m11s] 19390 ab:aab=a,aaabb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19390 ab:aab=a,aaabb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19391 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:38,nodes:10,pairs:2,completionMax:6us [11m11s] 19391 ab:aab=a,aaabb=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19391 ab:aab=a,aaabb=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19392 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:67,nodes:6,pairs:4,completionMax:10us [11m11s] 19392 ab:aab=a,aabaa=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19392 ab:aab=a,aabaa=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19393 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:17,nodes:8,pairs:1,completionMax:5us [11m11s] 19393 ab:aab=a,aabaa=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19393 ab:aab=a,aabaa=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19394 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:130,nodes:12,pairs:3,completionMax:18us [11m11s] 19394 ab:aab=a,aabaa=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19394 ab:aab=a,aabaa=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19395 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:6,work:314,nodes:16,pairs:18,completionMax:38us [11m11s] 19395 ab:aab=a,aabaa=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [11m11s] from: 19395 ab:aab=a,aabaa=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [11m11s] # 19396 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:6,pairs:2,completionMax:4us [11m11s] 19396 ab:aab=a,aabab=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19396 ab:aab=a,aabab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19397 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:3us [11m11s] 19397 ab:aab=a,aabab=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19397 ab:aab=a,aabab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19398 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:92,nodes:8,pairs:5,completionMax:11us [11m11s] 19398 ab:aab=a,aabab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19398 ab:aab=a,aabab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19399 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:1,work:37,nodes:10,pairs:2,completionMax:5us [11m11s] 19399 ab:aab=a,aabab=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19399 ab:aab=a,aabab=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19400 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:124,nodes:8,pairs:6,completionMax:14us [11m11s] 19400 ab:aab=a,aabba=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19400 ab:aab=a,aabba=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19401 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:82,nodes:8,pairs:5,completionMax:16us [11m11s] 19401 ab:aab=a,aabba=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19401 ab:aab=a,aabba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19402 solved: rounds:4,rules:3,peak:4,longest:3,steps:3,word:0,work:146,nodes:10,pairs:9,completionMax:23us [11m11s] 19402 ab:aab=a,aabba=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19402 ab:aab=a,aabba=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19403 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:795,nodes:20,pairs:17,completionMax:84us [11m11s] 19403 ab:aab=a,aabba=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19403 ab:aab=a,aabba=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19404 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:21,nodes:8,pairs:2,completionMax:8us [11m11s] 19404 ab:aab=a,aabbb=aa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19404 ab:aab=a,aabbb=aa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19405 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:5us [11m11s] 19405 ab:aab=a,aabbb=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19405 ab:aab=a,aabbb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19406 solved: rounds:3,rules:3,peak:5,longest:3,steps:3,word:0,work:152,nodes:10,pairs:8,completionMax:26us [11m11s] 19406 ab:aab=a,aabbb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19406 ab:aab=a,aabbb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19407 solved: rounds:2,rules:2,peak:3,longest:3,steps:3,word:1,work:46,nodes:8,pairs:3,completionMax:9us [11m11s] 19407 ab:aab=a,aabbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m11s] from: 19407 ab:aab=a,aabbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m11s] # 19408 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:506,nodes:14,pairs:22,completionMax:53us [11m11s] 19408 ab:aab=a,abaaa=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19408 ab:aab=a,abaaa=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19409 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:1,work:204,nodes:14,pairs:6,completionMax:23us [11m11s] 19409 ab:aab=a,abaaa=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19409 ab:aab=a,abaaa=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19410 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:2,work:493,nodes:18,pairs:19,completionMax:77us [11m11s] 19410 ab:aab=a,abaaa=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19410 ab:aab=a,abaaa=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19411 solved: rounds:2,rules:2,peak:13,longest:7,steps:5,word:3,work:2169,nodes:34,pairs:32,completionMax:144us [11m11s] 19411 ab:aab=a,abaaa=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbb=bb,a=bbbb [11m11s] from: 19411 ab:aab=a,abaaa=bb finite:7;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b2,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=aaaa,b=a [11m11s] # 19412 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:126,nodes:8,pairs:6,completionMax:16us [11m11s] 19412 ab:aab=a,abaab=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19412 ab:aab=a,abaab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19413 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:84,nodes:8,pairs:5,completionMax:13us [11m11s] 19413 ab:aab=a,abaab=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19413 ab:aab=a,abaab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19414 solved: rounds:4,rules:3,peak:4,longest:3,steps:3,word:0,work:148,nodes:10,pairs:9,completionMax:22us [11m11s] 19414 ab:aab=a,abaab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19414 ab:aab=a,abaab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19415 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:797,nodes:20,pairs:17,completionMax:87us [11m11s] 19415 ab:aab=a,abaab=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19415 ab:aab=a,abaab=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19416 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:347,nodes:12,pairs:10,completionMax:40us [11m11s] 19416 ab:aab=a,ababa=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19416 ab:aab=a,ababa=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19417 solved: rounds:2,rules:2,peak:6,longest:5,steps:2,word:0,work:300,nodes:14,pairs:17,completionMax:37us [11m11s] 19417 ab:aab=a,ababa=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19417 ab:aab=a,ababa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19418 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:0,work:452,nodes:18,pairs:24,completionMax:43us [11m11s] 19418 ab:aab=a,ababa=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19418 ab:aab=a,ababa=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19419 solved: rounds:3,rules:2,peak:9,longest:8,steps:6,word:5,work:1834,nodes:30,pairs:22,completionMax:93us [11m11s] 19419 ab:aab=a,ababa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19419 ab:aab=a,ababa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19420 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:1,work:38,nodes:12,pairs:3,completionMax:14us [11m11s] 19420 ab:aab=a,ababb=aa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19420 ab:aab=a,ababb=aa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19421 solved: rounds:2,rules:2,peak:3,longest:5,steps:2,word:0,work:26,nodes:12,pairs:2,completionMax:6us [11m11s] 19421 ab:aab=a,ababb=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19421 ab:aab=a,ababb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19422 solved: rounds:3,rules:3,peak:5,longest:5,steps:4,word:0,work:162,nodes:12,pairs:9,completionMax:21us [11m11s] 19422 ab:aab=a,ababb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19422 ab:aab=a,ababb=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19423 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:1,work:70,nodes:12,pairs:8,completionMax:19us [11m11s] 19423 ab:aab=a,ababb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m11s] from: 19423 ab:aab=a,ababb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m11s] # 19424 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:410,nodes:14,pairs:16,completionMax:55us [11m11s] 19424 ab:aab=a,abbaa=aa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19424 ab:aab=a,abbaa=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19425 solved: rounds:2,rules:2,peak:9,longest:6,steps:7,word:0,work:946,nodes:18,pairs:25,completionMax:90us [11m11s] 19425 ab:aab=a,abbaa=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19425 ab:aab=a,abbaa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19426 solved: rounds:3,rules:3,peak:12,longest:5,steps:5,word:0,work:2441,nodes:24,pairs:51,completionMax:168us [11m11s] 19426 ab:aab=a,abbaa=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19426 ab:aab=a,abbaa=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19427 solved: rounds:3,rules:2,peak:13,longest:8,steps:3,word:2,work:1788,nodes:30,pairs:28,completionMax:175us [11m11s] 19427 ab:aab=a,abbaa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19427 ab:aab=a,abbaa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19428 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:1,work:565,nodes:16,pairs:9,completionMax:55us [11m11s] 19428 ab:aab=a,abbab=aa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19428 ab:aab=a,abbab=aa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19429 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:212,nodes:14,pairs:12,completionMax:28us [11m11s] 19429 ab:aab=a,abbab=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19429 ab:aab=a,abbab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19430 solved: rounds:3,rules:3,peak:9,longest:6,steps:3,word:0,work:1259,nodes:24,pairs:39,completionMax:113us [11m11s] 19430 ab:aab=a,abbab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19430 ab:aab=a,abbab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19431 solved: rounds:3,rules:2,peak:8,longest:5,steps:6,word:2,work:1023,nodes:24,pairs:18,completionMax:73us [11m11s] 19431 ab:aab=a,abbab=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m11s] from: 19431 ab:aab=a,abbab=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m11s] # 19432 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:1,work:429,nodes:16,pairs:9,completionMax:53us [11m11s] 19432 ab:aab=a,abbba=aa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19432 ab:aab=a,abbba=aa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19433 solved: rounds:2,rules:2,peak:9,longest:6,steps:7,word:0,work:605,nodes:16,pairs:11,completionMax:43us [11m11s] 19433 ab:aab=a,abbba=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19433 ab:aab=a,abbba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19434 solved: rounds:4,rules:3,peak:7,longest:6,steps:8,word:0,work:701,nodes:16,pairs:15,completionMax:44us [11m11s] 19434 ab:aab=a,abbba=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19434 ab:aab=a,abbba=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19435 solved: rounds:3,rules:2,peak:11,longest:6,steps:6,word:2,work:2194,nodes:24,pairs:24,completionMax:112us [11m11s] 19435 ab:aab=a,abbba=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m11s] from: 19435 ab:aab=a,abbba=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m11s] # 19436 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:3,work:35,nodes:12,pairs:4,completionMax:25us [11m11s] 19436 ab:aab=a,abbbb=aa infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 19436 ab:aab=a,abbbb=aa infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 19437 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:4,completionMax:18us [11m11s] 19437 ab:aab=a,abbbb=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19437 ab:aab=a,abbbb=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19438 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:1,work:202,nodes:14,pairs:8,completionMax:56us [11m11s] 19438 ab:aab=a,abbbb=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19438 ab:aab=a,abbbb=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19439 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:1,work:72,nodes:12,pairs:7,completionMax:25us [11m11s] 19439 ab:aab=a,abbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m11s] from: 19439 ab:aab=a,abbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m11s] # 19440 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:0,work:565,nodes:18,pairs:23,completionMax:69us [11m11s] 19440 ab:aab=a,baaaa=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19440 ab:aab=a,baaaa=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19441 solved: rounds:4,rules:3,peak:4,longest:9,steps:3,word:6,work:284,nodes:26,pairs:12,completionMax:31us [11m11s] 19441 ab:aab=a,baaaa=ab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19441 ab:aab=a,baaaa=ab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19442 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:187,nodes:18,pairs:5,completionMax:37us [11m11s] 19442 ab:aab=a,baaaa=ba infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19442 ab:aab=a,baaaa=ba infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19443 solved: rounds:2,rules:3,peak:4,longest:9,steps:2,word:3,work:179,nodes:28,pairs:8,completionMax:25us [11m11s] 19443 ab:aab=a,baaaa=bb finite:12;idempotents:1,ba,aaaaa a/b - - ab:aaaaaa=a,ab=aaaaa,bb=baaaa [11m11s] # 19444 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:254,nodes:12,pairs:9,completionMax:38us [11m11s] 19444 ab:aab=a,baaab=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19444 ab:aab=a,baaab=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19445 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:331,nodes:14,pairs:13,completionMax:49us [11m11s] 19445 ab:aab=a,baaab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19445 ab:aab=a,baaab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19446 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:145,nodes:10,pairs:8,completionMax:16us [11m11s] 19446 ab:aab=a,baaab=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19446 ab:aab=a,baaab=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19447 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:96,nodes:16,pairs:6,completionMax:21us [11m11s] 19447 ab:aab=a,baaab=bb finite:8;idempotents:1,ba,aaa a/b - - ab:aaaa=a,ab=aaa,bb=baa [11m11s] from: 19447 ab:aab=a,baaab=bb finite:8;idempotents:1,ba,aaa to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa anti:a=a,b=b [11m11s] # 19448 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:253,nodes:12,pairs:9,completionMax:36us [11m11s] 19448 ab:aab=a,baaba=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19448 ab:aab=a,baaba=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19449 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:330,nodes:14,pairs:13,completionMax:41us [11m11s] 19449 ab:aab=a,baaba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19449 ab:aab=a,baaba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19450 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:144,nodes:10,pairs:8,completionMax:25us [11m11s] 19450 ab:aab=a,baaba=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19450 ab:aab=a,baaba=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19451 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:95,nodes:16,pairs:6,completionMax:20us [11m11s] 19451 ab:aab=a,baaba=bb finite:8;idempotents:1,ba,aaa a/b - - ab:aaaa=a,ab=aaa,bb=baa [11m11s] from: 19451 ab:aab=a,baaba=bb finite:8;idempotents:1,ba,aaa to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa anti:a=a,b=b [11m11s] # 19452 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:168,nodes:14,pairs:6,completionMax:26us [11m11s] 19452 ab:aab=a,baabb=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19452 ab:aab=a,baabb=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19453 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:69,nodes:10,pairs:5,completionMax:10us [11m11s] 19453 ab:aab=a,baabb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19453 ab:aab=a,baabb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19454 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:42,nodes:10,pairs:4,completionMax:7us [11m11s] 19454 ab:aab=a,baabb=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19454 ab:aab=a,baabb=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19455 solved: rounds:2,rules:3,peak:3,longest:3,steps:2,word:0,work:47,nodes:10,pairs:3,completionMax:7us [11m11s] 19455 ab:aab=a,baabb=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [11m11s] from: 19455 ab:aab=a,baabb=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [11m11s] # 19456 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:505,nodes:16,pairs:16,completionMax:43us [11m11s] 19456 ab:aab=a,babaa=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19456 ab:aab=a,babaa=aa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19457 solved: rounds:2,rules:3,peak:7,longest:5,steps:5,word:0,work:426,nodes:18,pairs:19,completionMax:37us [11m11s] 19457 ab:aab=a,babaa=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19457 ab:aab=a,babaa=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19458 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:270,nodes:14,pairs:14,completionMax:24us [11m11s] 19458 ab:aab=a,babaa=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19458 ab:aab=a,babaa=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19459 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:406,nodes:20,pairs:18,completionMax:35us [11m11s] 19459 ab:aab=a,babaa=bb finite:8;idempotents:1,ba,aaa a/b - - ab:aaaa=a,ab=aaa,bb=baa [11m11s] from: 19459 ab:aab=a,babaa=bb finite:8;idempotents:1,ba,aaa to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa anti:a=a,b=b [11m11s] # 19460 solved: rounds:2,rules:3,peak:6,longest:5,steps:4,word:1,work:233,nodes:18,pairs:7,completionMax:22us [11m11s] 19460 ab:aab=a,babab=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19460 ab:aab=a,babab=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19461 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:306,nodes:18,pairs:22,completionMax:45us [11m11s] 19461 ab:aab=a,babab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19461 ab:aab=a,babab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19462 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:128,nodes:14,pairs:8,completionMax:18us [11m11s] 19462 ab:aab=a,babab=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19462 ab:aab=a,babab=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19463 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:0,work:149,nodes:16,pairs:6,completionMax:18us [11m11s] 19463 ab:aab=a,babab=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [11m11s] from: 19463 ab:aab=a,babab=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [11m11s] # 19464 solved: rounds:4,rules:3,peak:7,longest:6,steps:4,word:1,work:628,nodes:26,pairs:19,completionMax:105us [11m11s] 19464 ab:aab=a,babba=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19464 ab:aab=a,babba=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19465 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:197,nodes:16,pairs:17,completionMax:24us [11m11s] 19465 ab:aab=a,babba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19465 ab:aab=a,babba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19466 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:207,nodes:16,pairs:7,completionMax:34us [11m11s] 19466 ab:aab=a,babba=ba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19466 ab:aab=a,babba=ba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19467 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:932,nodes:24,pairs:27,completionMax:103us [11m11s] 19467 ab:aab=a,babba=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [11m11s] from: 19467 ab:aab=a,babba=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [11m11s] # 19468 solved: rounds:3,rules:3,peak:4,longest:7,steps:3,word:5,work:384,nodes:20,pairs:12,completionMax:63us [11m11s] 19468 ab:aab=a,babbb=aa infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] from: 19468 ab:aab=a,babbb=aa infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=b [11m11s] # 19469 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:151,nodes:16,pairs:14,completionMax:38us [11m11s] 19469 ab:aab=a,babbb=ab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19469 ab:aab=a,babbb=ab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19470 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:1,work:53,nodes:16,pairs:5,completionMax:25us [11m11s] 19470 ab:aab=a,babbb=ba infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19470 ab:aab=a,babbb=ba infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19471 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:88,nodes:16,pairs:9,completionMax:14us [11m11s] 19471 ab:aab=a,babbb=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [11m11s] from: 19471 ab:aab=a,babbb=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [11m11s] # 19472 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:967,nodes:22,pairs:25,completionMax:70us [11m11s] 19472 ab:aab=a,bbaaa=aa infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19472 ab:aab=a,bbaaa=aa infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19473 solved: rounds:2,rules:3,peak:10,longest:5,steps:5,word:0,work:836,nodes:20,pairs:13,completionMax:59us [11m11s] 19473 ab:aab=a,bbaaa=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19473 ab:aab=a,bbaaa=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19474 solved: rounds:4,rules:3,peak:11,longest:5,steps:3,word:0,work:1343,nodes:24,pairs:46,completionMax:122us [11m11s] 19474 ab:aab=a,bbaaa=ba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 19474 ab:aab=a,bbaaa=ba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 19475 solved: rounds:3,rules:4,peak:9,longest:5,steps:3,word:1,work:645,nodes:22,pairs:10,completionMax:70us [11m11s] 19475 ab:aab=a,bbaaa=bb finite:11;idempotents:1,ba,aaa,bbaa a/b - - ab:aaaa=a,ab=aaa,bbaaa=bb,bbb=bbaa [11m11s] from: 19475 ab:aab=a,bbaaa=bb finite:11;idempotents:1,ba,aaa,bbaa to: 12227 ab:aaab=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb a=b,b=a [11m11s] # 19476 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:224,nodes:16,pairs:6,completionMax:33us [11m11s] 19476 ab:aab=a,bbaab=aa infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19476 ab:aab=a,bbaab=aa infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19477 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:75,nodes:12,pairs:6,completionMax:18us [11m11s] 19477 ab:aab=a,bbaab=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19477 ab:aab=a,bbaab=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19478 solved: rounds:4,rules:3,peak:5,longest:3,steps:2,word:0,work:170,nodes:12,pairs:7,completionMax:30us [11m11s] 19478 ab:aab=a,bbaab=ba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 19478 ab:aab=a,bbaab=ba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 19479 solved: rounds:3,rules:4,peak:6,longest:3,steps:2,word:0,work:218,nodes:12,pairs:7,completionMax:30us [11m11s] 19479 ab:aab=a,bbaab=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19479 ab:aab=a,bbaab=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19480 solved: rounds:4,rules:3,peak:9,longest:6,steps:4,word:1,work:1019,nodes:32,pairs:22,completionMax:110us [11m11s] 19480 ab:aab=a,bbaba=aa infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19480 ab:aab=a,bbaba=aa infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19481 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:225,nodes:18,pairs:11,completionMax:34us [11m11s] 19481 ab:aab=a,bbaba=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19481 ab:aab=a,bbaba=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19482 solved: rounds:4,rules:3,peak:9,longest:5,steps:3,word:0,work:718,nodes:20,pairs:29,completionMax:76us [11m11s] 19482 ab:aab=a,bbaba=ba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 19482 ab:aab=a,bbaba=ba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 19483 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:738,nodes:20,pairs:15,completionMax:57us [11m11s] 19483 ab:aab=a,bbaba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19483 ab:aab=a,bbaba=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19484 solved: rounds:3,rules:3,peak:9,longest:8,steps:3,word:3,work:1045,nodes:34,pairs:25,completionMax:93us [11m11s] 19484 ab:aab=a,bbabb=aa infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bba=aaaa [11m11s] from: 19484 ab:aab=a,bbabb=aa infinite to: 18942 ab:aab=a,bbabbb=a infinite a=a,b=b [11m11s] # 19485 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:1,work:216,nodes:20,pairs:11,completionMax:26us [11m11s] 19485 ab:aab=a,bbabb=ab infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19485 ab:aab=a,bbabb=ab infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19486 solved: rounds:3,rules:3,peak:7,longest:5,steps:5,word:1,work:487,nodes:22,pairs:14,completionMax:46us [11m11s] 19486 ab:aab=a,bbabb=ba infinite a/b - - ab:aaaa=a,ab=aaa,bba=baaa [11m11s] # 19487 solved: rounds:4,rules:4,peak:4,longest:5,steps:3,word:0,work:147,nodes:20,pairs:5,completionMax:20us [11m11s] 19487 ab:aab=a,bbabb=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19487 ab:aab=a,bbabb=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19488 solved: rounds:5,rules:3,peak:7,longest:7,steps:3,word:1,work:1041,nodes:28,pairs:18,completionMax:112us [11m11s] 19488 ab:aab=a,bbbaa=aa infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 19488 ab:aab=a,bbbaa=aa infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 19489 solved: rounds:2,rules:3,peak:9,longest:5,steps:4,word:0,work:661,nodes:22,pairs:12,completionMax:52us [11m11s] 19489 ab:aab=a,bbbaa=ab infinite ab - - ab:aa=a,ab=a,bbba=a [11m11s] from: 19489 ab:aab=a,bbbaa=ab infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m11s] # 19490 solved: rounds:4,rules:3,peak:9,longest:5,steps:4,word:0,work:750,nodes:24,pairs:30,completionMax:85us [11m11s] 19490 ab:aab=a,bbbaa=ba infinite ab - - ab:aa=a,ab=a,bbba=ba [11m11s] # 19491 solved: rounds:4,rules:4,peak:10,longest:5,steps:4,word:0,work:1070,nodes:22,pairs:49,completionMax:112us [11m11s] 19491 ab:aab=a,bbbaa=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19491 ab:aab=a,bbbaa=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19492 solved: rounds:2,rules:3,peak:11,longest:7,steps:4,word:3,work:1558,nodes:34,pairs:12,completionMax:118us [11m11s] 19492 ab:aab=a,bbbab=aa infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbba=aaa [11m11s] from: 19492 ab:aab=a,bbbab=aa infinite to: 18950 ab:aab=a,bbbabb=a infinite a=a,b=b [11m11s] # 19493 solved: rounds:2,rules:3,peak:7,longest:5,steps:3,word:1,work:411,nodes:20,pairs:7,completionMax:32us [11m11s] 19493 ab:aab=a,bbbab=ab infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 19493 ab:aab=a,bbbab=ab infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 19494 solved: rounds:3,rules:3,peak:11,longest:5,steps:4,word:1,work:1085,nodes:24,pairs:23,completionMax:77us [11m11s] 19494 ab:aab=a,bbbab=ba infinite a/b - - ab:aaaa=a,ab=aaa,bbba=baa [11m11s] # 19495 solved: rounds:5,rules:4,peak:8,longest:5,steps:3,word:0,work:543,nodes:22,pairs:24,completionMax:48us [11m11s] 19495 ab:aab=a,bbbab=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19495 ab:aab=a,bbbab=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19496 solved: rounds:4,rules:3,peak:7,longest:7,steps:4,word:3,work:595,nodes:28,pairs:9,completionMax:55us [11m11s] 19496 ab:aab=a,bbbba=aa infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbbba=aa [11m11s] from: 19496 ab:aab=a,bbbba=aa infinite to: 18954 ab:aab=a,bbbbab=a infinite a=a,b=b [11m11s] # 19497 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:1,work:456,nodes:22,pairs:17,completionMax:47us [11m11s] 19497 ab:aab=a,bbbba=ab infinite a/b - - ab:aaaa=a,ab=aaa,bbbba=aaa [11m11s] from: 19497 ab:aab=a,bbbba=ab infinite to: 18952 ab:aab=a,bbbbaa=a infinite a=a,b=b [11m11s] # 19498 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:519,nodes:24,pairs:10,completionMax:74us [11m11s] 19498 ab:aab=a,bbbba=ba infinite a/b - - ab:aaaa=a,ab=aaa,bbbba=ba [11m11s] # 19499 solved: rounds:3,rules:4,peak:11,longest:5,steps:4,word:0,work:1310,nodes:24,pairs:26,completionMax:89us [11m11s] 19499 ab:aab=a,bbbba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m11s] from: 19499 ab:aab=a,bbbba=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m11s] # 19500 solved: rounds:1,rules:2,peak:3,longest:12,steps:2,word:5,work:167,nodes:26,pairs:3,completionMax:25us [11m11s] 19500 ab:aab=a,bbbbb=aa finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbb=bbbbb,a=bbbbbb [11m11s] from: 19500 ab:aab=a,bbbbb=aa finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=bbbbbb,b=b [11m11s] # 19501 solved: rounds:2,rules:2,peak:2,longest:10,steps:1,word:3,work:102,nodes:20,pairs:2,completionMax:15us [11m11s] 19501 ab:aab=a,bbbbb=ab finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b9;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbbbbbbb [11m11s] from: 19501 ab:aab=a,bbbbb=ab finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b9;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbbbbbbb,b=b [11m11s] # 19502 solved: rounds:4,rules:4,peak:9,longest:6,steps:5,word:3,work:1219,nodes:26,pairs:31,completionMax:143us [11m11s] 19502 ab:aab=a,bbbbb=ba finite:15;idempotents:1,ba,aaaaa a/b - - ab:aaaaaa=a,ab=aaaaa,bba=baaaaa,bbbbb=ba [11m11s] # 19503 solved: rounds:5,rules:3,peak:4,longest:5,steps:4,word:1,work:126,nodes:20,pairs:5,completionMax:33us [11m11s] 19503 ab:aab=a,bbbbb=bb finite:20;idempotents:1,ba,aaa,bbb,bbaa,bbbba,bbbaaa a/b - - ab:aaaa=a,ab=aaa,bbbbb=bb [11m11s] # 19504 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:54,nodes:10,pairs:2,completionMax:11us [11m11s] 19504 ab:aab=b,aaaaa=aa infinite ab - - ab:ab=b,aaaaa=aa [11m11s] # 19505 solved: rounds:2,rules:2,peak:2,longest:7,steps:3,word:0,work:126,nodes:14,pairs:2,completionMax:16us [11m11s] 19505 ab:aab=b,aaaaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aaaaaa [11m11s] from: 19505 ab:aab=b,aaaaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbbb [11m11s] # 19506 solved: rounds:1,rules:4,peak:4,longest:7,steps:3,word:3,work:257,nodes:16,pairs:2,completionMax:29us [11m11s] 19506 ab:aab=b,aaaaa=ba finite:9;idempotents:1,b,aaaaaa a/b - - ab:aaaaaaa=aaaaa,ba=aaaaa,aab=b,bb=b [11m11s] # 19507 solved: rounds:2,rules:4,peak:5,longest:5,steps:6,word:2,work:256,nodes:18,pairs:7,completionMax:42us [11m11s] 19507 ab:aab=b,aaaaa=bb finite:9;idempotents:1,bbbb;center:1,a,b,aa,bb,aaa,bbb,aaaa,bbbb;commutative:ab:b3=ab,a2b=b,a5=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaaaa=bb [11m11s] # 19508 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:25,nodes:8,pairs:1,completionMax:6us [11m11s] 19508 ab:aab=b,aaaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [11m11s] from: 19508 ab:aab=b,aaaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [11m11s] # 19509 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:2us [11m11s] 19509 ab:aab=b,aaaab=ab infinite ab - - ab:ab=b [11m11s] from: 19509 ab:aab=b,aaaab=ab infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [11m11s] # 19510 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:3us [11m11s] 19510 ab:aab=b,aaaab=ba infinite ab - - ab:ba=b,aab=b [11m11s] from: 19510 ab:aab=b,aaaab=ba infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [11m11s] # 19511 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:2us [11m11s] 19511 ab:aab=b,aaaab=bb infinite ab - - ab:bb=b,aab=b [11m11s] from: 19511 ab:aab=b,aaaab=bb infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 19512 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:1,work:161,nodes:12,pairs:10,completionMax:32us [11m11s] 19512 ab:aab=b,aaaba=aa finite:6;idempotents:1,b,aa a/b - - ab:aaaa=aa,ba=aaa,aab=b,bb=b [11m11s] from: 19512 ab:aab=b,aaaba=aa finite:6;idempotents:1,b,aa to: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa a=a,b=b [11m11s] # 19513 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:6us [11m11s] 19513 ab:aab=b,aaaba=ab infinite ab - - ab:ba=b,aab=b [11m11s] from: 19513 ab:aab=b,aaaba=ab infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [11m11s] # 19514 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:28,nodes:8,pairs:2,completionMax:5us [11m11s] 19514 ab:aab=b,aaaba=ba infinite ab - - ab:aab=b,aba=ba,abb=bb [11m11s] # 19515 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:3,work:206,nodes:22,pairs:8,completionMax:30us [11m11s] 19515 ab:aab=b,aaaba=bb infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 19515 ab:aab=b,aaaba=bb infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 19516 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:187,nodes:12,pairs:11,completionMax:29us [11m11s] 19516 ab:aab=b,aaabb=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19516 ab:aab=b,aaabb=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19517 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:6us [11m11s] 19517 ab:aab=b,aaabb=ab infinite ab - - ab:bb=b,aab=b [11m11s] from: 19517 ab:aab=b,aaabb=ab infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 19518 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:82,nodes:14,pairs:1,completionMax:16us [11m11s] 19518 ab:aab=b,aaabb=ba infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 19518 ab:aab=b,aaabb=ba infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 19519 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:4us [11m11s] 19519 ab:aab=b,aaabb=bb infinite ab - - ab:aab=b,abb=bb [11m11s] # 19520 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:111,nodes:12,pairs:3,completionMax:20us [11m11s] 19520 ab:aab=b,aabaa=aa finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=b,baa=aa,bab=ab,aaaa=aa [11m11s] # 19521 solved: rounds:1,rules:2,peak:2,longest:5,steps:5,word:1,work:38,nodes:12,pairs:1,completionMax:7us [11m11s] 19521 ab:aab=b,aabaa=ab infinite a/b - - ab:baaaa=b,ab=baa [11m11s] from: 19521 ab:aab=b,aabaa=ab infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [11m11s] # 19522 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:32,nodes:10,pairs:1,completionMax:6us [11m11s] 19522 ab:aab=b,aabaa=ba infinite ab - - ab:aab=b,baa=ba,bab=bb [11m11s] # 19523 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:63,nodes:14,pairs:1,completionMax:7us [11m11s] 19523 ab:aab=b,aabaa=bb infinite a/b - - ab:baaaa=baa,aab=b,bb=baa [11m11s] # 19524 solved: rounds:5,rules:4,peak:7,longest:8,steps:4,word:2,work:1082,nodes:24,pairs:26,completionMax:138us [11m11s] 19524 ab:aab=b,aabab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19524 ab:aab=b,aabab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19525 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:42,nodes:10,pairs:1,completionMax:8us [11m11s] 19525 ab:aab=b,aabab=ab infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 19525 ab:aab=b,aabab=ab infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 19526 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:1,work:99,nodes:12,pairs:4,completionMax:18us [11m11s] 19526 ab:aab=b,aabab=ba infinite a/b - - ab:baaa=ba,aab=b,bb=baa,bab=ba [11m11s] from: 19526 ab:aab=b,aabab=ba infinite to: 1672 ab:aba=ab,bba=a infinite a=b,b=a [11m11s] # 19527 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m11s] 19527 ab:aab=b,aabab=bb infinite ab - - ab:aab=b,bab=bb [11m11s] # 19528 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:63,nodes:12,pairs:5,completionMax:30us [11m11s] 19528 ab:aab=b,aabba=aa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=bba [11m11s] from: 19528 ab:aab=b,aabba=aa finite:10;idempotents:1,bba,bbbb to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=b,b=a [11m11s] # 19529 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:486,nodes:22,pairs:10,completionMax:90us [11m11s] 19529 ab:aab=b,aabba=ab infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 19529 ab:aab=b,aabba=ab infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 19530 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:1,completionMax:9us [11m11s] 19530 ab:aab=b,aabba=ba infinite ab - - ab:aab=b,bba=ba,bbb=bb [11m11s] # 19531 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m11s] 19531 ab:aab=b,aabba=bb infinite ab - - ab:aab=b,bba=bb [11m11s] # 19532 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:71,nodes:14,pairs:3,completionMax:12us [11m11s] 19532 ab:aab=b,aabbb=aa infinite ab - - ab:aab=b,baa=b,bbb=aa,aaaa=aa [11m11s] # 19533 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:22,nodes:12,pairs:1,completionMax:8us [11m11s] 19533 ab:aab=b,aabbb=ab infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19533 ab:aab=b,aabbb=ab infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19534 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:54,nodes:16,pairs:1,completionMax:9us [11m11s] 19534 ab:aab=b,aabbb=ba infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 19534 ab:aab=b,aabbb=ba infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 19535 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:2us [11m11s] 19535 ab:aab=b,aabbb=bb infinite ab - - ab:aab=b,bbb=bb [11m11s] # 19536 solved: rounds:3,rules:5,peak:8,longest:5,steps:2,word:0,work:560,nodes:18,pairs:21,completionMax:61us [11m11s] 19536 ab:aab=b,abaaa=aa finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=b,baa=aa,bab=ab,aaaa=aa [11m11s] from: 19536 ab:aab=b,abaaa=aa finite:8;idempotents:1,b,aa,aba to: 19520 ab:aab=b,aabaa=aa finite:8;idempotents:1,b,aa,aba a=a,b=b [11m11s] # 19537 solved: rounds:2,rules:3,peak:4,longest:5,steps:1,word:0,work:136,nodes:18,pairs:10,completionMax:27us [11m11s] 19537 ab:aab=b,abaaa=ab infinite ab - - ab:aab=b,bab=bb,baaa=b [11m11s] from: 19537 ab:aab=b,abaaa=ab infinite to: 2069 ab:aab=b,baaa=b infinite a=a,b=b [11m11s] # 19538 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:1,work:198,nodes:18,pairs:7,completionMax:34us [11m11s] 19538 ab:aab=b,abaaa=ba infinite a/b - - ab:baaaaa=ba,aba=baaa,aab=b,abb=bb [11m11s] # 19539 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:1,work:438,nodes:24,pairs:9,completionMax:51us [11m11s] 19539 ab:aab=b,abaaa=bb infinite b/a - - ab:bbbbb=bb,bab=abbb,aab=b,baaa=abb [11m11s] # 19540 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:188,nodes:12,pairs:11,completionMax:41us [11m11s] 19540 ab:aab=b,abaab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19540 ab:aab=b,abaab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19541 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:10,pairs:1,completionMax:5us [11m11s] 19541 ab:aab=b,abaab=ab infinite ab - - ab:bb=b,aab=b [11m11s] from: 19541 ab:aab=b,abaab=ab infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 19542 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:83,nodes:14,pairs:1,completionMax:8us [11m11s] 19542 ab:aab=b,abaab=ba infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 19542 ab:aab=b,abaab=ba infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 19543 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:2us [11m11s] 19543 ab:aab=b,abaab=bb infinite ab - - ab:aab=b,abb=bb [11m11s] from: 19543 ab:aab=b,abaab=bb infinite to: 19519 ab:aab=b,aaabb=bb infinite a=a,b=b [11m11s] # 19544 solved: rounds:2,rules:3,peak:8,longest:5,steps:4,word:2,work:683,nodes:20,pairs:22,completionMax:60us [11m11s] 19544 ab:aab=b,ababa=aa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=bba [11m11s] from: 19544 ab:aab=b,ababa=aa finite:10;idempotents:1,bba,bbbb to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=b,b=a [11m11s] # 19545 solved: rounds:4,rules:4,peak:9,longest:5,steps:4,word:0,work:1047,nodes:22,pairs:40,completionMax:113us [11m11s] 19545 ab:aab=b,ababa=ab infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [11m11s] from: 19545 ab:aab=b,ababa=ab infinite to: 2073 ab:aab=b,baba=b infinite a=a,b=b [11m11s] # 19546 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:0,work:597,nodes:22,pairs:19,completionMax:66us [11m11s] 19546 ab:aab=b,ababa=ba infinite ab - - ab:aab=b,bba=ba,bbb=bb,baba=aba,babb=abb [11m11s] # 19547 solved: rounds:3,rules:5,peak:6,longest:6,steps:4,word:1,work:719,nodes:20,pairs:6,completionMax:60us [11m11s] 19547 ab:aab=b,ababa=bb infinite reversed:a/b - - ab:aab=b,baba=abb,bbab=ababb,bbba=abbb,babba=ababb [11m11s] # 19548 solved: rounds:5,rules:3,peak:15,longest:5,steps:13,word:1,work:3953,nodes:32,pairs:24,completionMax:221us [11m11s] 19548 ab:aab=b,ababb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19548 ab:aab=b,ababb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19549 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:18,pairs:1,completionMax:6us [11m11s] 19549 ab:aab=b,ababb=ab infinite ab - - ab:aab=b,babb=b [11m11s] from: 19549 ab:aab=b,ababb=ab infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [11m11s] # 19550 solved: rounds:4,rules:8,peak:10,longest:6,steps:4,word:2,work:2164,nodes:32,pairs:21,completionMax:142us [11m11s] 19550 ab:aab=b,ababb=ba infinite b/a - - ab:bbbbbb=bb,babbbb=ba,bbbba=abbbb,aab=b,aba=babb,abba=bbbab,abbba=bbabbb,baa=bbbbb [11m11s] # 19551 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:114,nodes:18,pairs:3,completionMax:16us [11m11s] 19551 ab:aab=b,ababb=bb infinite ab - - ab:aab=b,bbb=bb,babb=abb [11m11s] # 19552 solved: rounds:2,rules:4,peak:8,longest:6,steps:4,word:2,work:556,nodes:22,pairs:15,completionMax:72us [11m11s] 19552 ab:aab=b,abbaa=aa finite:14;idempotents:1,aa,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbbaa=aa,aaa=bbaa [11m11s] # 19553 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:0,work:338,nodes:18,pairs:23,completionMax:38us [11m11s] 19553 ab:aab=b,abbaa=ab infinite ab - - ab:bb=b,aab=b,baa=b [11m11s] from: 19553 ab:aab=b,abbaa=ab infinite to: 2077 ab:aab=b,bbaa=b infinite a=a,b=b [11m11s] # 19554 solved: rounds:4,rules:5,peak:7,longest:6,steps:7,word:2,work:862,nodes:28,pairs:9,completionMax:56us [11m11s] 19554 ab:aab=b,abbaa=ba infinite b/a - - ab:bbbbb=bb,bab=abbb,bbbba=ba,aab=b,baa=abba [11m11s] # 19555 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:1,work:130,nodes:18,pairs:7,completionMax:28us [11m11s] 19555 ab:aab=b,abbaa=bb infinite a/b - - ab:aab=b,bbaaaa=bb,abb=bbaa [11m11s] # 19556 solved: rounds:3,rules:3,peak:13,longest:6,steps:6,word:1,work:2239,nodes:30,pairs:52,completionMax:241us [11m11s] 19556 ab:aab=b,abbab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19556 ab:aab=b,abbab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19557 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:46,nodes:18,pairs:1,completionMax:6us [11m11s] 19557 ab:aab=b,abbab=ab infinite ab - - ab:aab=b,bbab=b [11m11s] from: 19557 ab:aab=b,abbab=ab infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [11m11s] # 19558 solved: rounds:3,rules:8,peak:10,longest:8,steps:4,word:2,work:2113,nodes:42,pairs:20,completionMax:109us [11m11s] 19558 ab:aab=b,abbab=ba infinite b/a - - ab:bbbbbb=bb,babbbb=ba,bbbba=abbbb,aab=b,aba=bbab,abba=babbb,abbba=bbbabb,baa=bbbbb [11m11s] # 19559 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:389,nodes:22,pairs:7,completionMax:28us [11m11s] 19559 ab:aab=b,abbab=bb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aab=b [11m11s] # 19560 solved: rounds:3,rules:5,peak:7,longest:6,steps:2,word:0,work:497,nodes:30,pairs:18,completionMax:79us [11m11s] 19560 ab:aab=b,abbba=aa infinite ab - - ab:aab=b,aaaa=aa,baaa=ba,bbba=aaa,bbbb=b [11m11s] # 19561 solved: rounds:5,rules:3,peak:8,longest:8,steps:2,word:1,work:781,nodes:30,pairs:27,completionMax:91us [11m11s] 19561 ab:aab=b,abbba=ab infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 19561 ab:aab=b,abbba=ab infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 19562 solved: rounds:3,rules:5,peak:6,longest:7,steps:2,word:1,work:433,nodes:24,pairs:14,completionMax:49us [11m11s] 19562 ab:aab=b,abbba=ba infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bbbbba=ba,aab=b,aba=bbba [11m11s] # 19563 solved: rounds:4,rules:4,peak:8,longest:8,steps:4,word:3,work:1611,nodes:34,pairs:19,completionMax:88us [11m11s] 19563 ab:aab=b,abbba=bb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aab=b [11m11s] # 19564 solved: rounds:3,rules:4,peak:5,longest:9,steps:2,word:3,work:328,nodes:20,pairs:13,completionMax:32us [11m11s] 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] # 19565 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:28,nodes:18,pairs:1,completionMax:9us [11m11s] 19565 ab:aab=b,abbbb=ab infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 19565 ab:aab=b,abbbb=ab infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 19566 solved: rounds:1,rules:3,peak:3,longest:17,steps:20,word:12,work:371,nodes:38,pairs:1,completionMax:31us [11m11s] 19566 ab:aab=b,abbbb=ba infinite b/a - - ab:bbbbbbbbbbbbbbbbb=bb,ba=abbbb,aab=b [11m11s] # 19567 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:60,nodes:18,pairs:3,completionMax:15us [11m11s] 19567 ab:aab=b,abbbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aab=b [11m11s] # 19568 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:176,nodes:16,pairs:7,completionMax:27us [11m11s] 19568 ab:aab=b,baaaa=aa finite:8;idempotents:1,b,aa,aba ab - - ab:bb=b,aab=b,baa=aa,bab=ab,aaaa=aa [11m11s] from: 19568 ab:aab=b,baaaa=aa finite:8;idempotents:1,b,aa,aba to: 19520 ab:aab=b,aabaa=aa finite:8;idempotents:1,b,aa,aba a=a,b=b [11m11s] # 19569 solved: rounds:1,rules:2,peak:2,longest:9,steps:11,word:3,work:107,nodes:20,pairs:1,completionMax:6us [11m11s] 19569 ab:aab=b,baaaa=ab infinite a/b - - ab:baaaaaaaa=b,ab=baaaa [11m11s] from: 19569 ab:aab=b,baaaa=ab infinite to: 18993 ab:aab=b,abaaaa=b infinite a=a,b=b [11m11s] # 19570 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:46,nodes:14,pairs:2,completionMax:11us [11m11s] 19570 ab:aab=b,baaaa=ba infinite ab - - ab:aab=b,bab=bb,baaaa=ba [11m11s] # 19571 solved: rounds:1,rules:3,peak:3,longest:9,steps:4,word:3,work:125,nodes:22,pairs:1,completionMax:11us [11m11s] 19571 ab:aab=b,baaaa=bb infinite a/b - - ab:baaaaaaaa=baaaa,aab=b,bb=baaaa [11m11s] # 19572 solved: rounds:5,rules:4,peak:7,longest:8,steps:4,word:2,work:1084,nodes:24,pairs:26,completionMax:108us [11m11s] 19572 ab:aab=b,baaab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19572 ab:aab=b,baaab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19573 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:44,nodes:10,pairs:1,completionMax:5us [11m11s] 19573 ab:aab=b,baaab=ab infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 19573 ab:aab=b,baaab=ab infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 19574 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:1,work:101,nodes:12,pairs:4,completionMax:9us [11m11s] 19574 ab:aab=b,baaab=ba infinite a/b - - ab:baaa=ba,aab=b,bb=baa,bab=ba [11m11s] from: 19574 ab:aab=b,baaab=ba infinite to: 1672 ab:aba=ab,bba=a infinite a=b,b=a [11m11s] # 19575 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:3us [11m11s] 19575 ab:aab=b,baaab=bb infinite ab - - ab:aab=b,bab=bb [11m11s] from: 19575 ab:aab=b,baaab=bb infinite to: 19527 ab:aab=b,aabab=bb infinite a=a,b=b [11m11s] # 19576 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:64,nodes:12,pairs:5,completionMax:20us [11m11s] 19576 ab:aab=b,baaba=aa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=bba [11m11s] from: 19576 ab:aab=b,baaba=aa finite:10;idempotents:1,bba,bbbb to: 1654 ab:aab=bb,bba=a finite:10;idempotents:1,aab,aaaa a=b,b=a [11m11s] # 19577 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:487,nodes:22,pairs:10,completionMax:54us [11m11s] 19577 ab:aab=b,baaba=ab infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 19577 ab:aab=b,baaba=ab infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 19578 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:56,nodes:10,pairs:1,completionMax:9us [11m11s] 19578 ab:aab=b,baaba=ba infinite ab - - ab:aab=b,bba=ba,bbb=bb [11m11s] from: 19578 ab:aab=b,baaba=ba infinite to: 19530 ab:aab=b,aabba=ba infinite a=a,b=b [11m11s] # 19579 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 19579 ab:aab=b,baaba=bb infinite ab - - ab:aab=b,bba=bb [11m11s] from: 19579 ab:aab=b,baaba=bb infinite to: 19531 ab:aab=b,aabba=bb infinite a=a,b=b [11m11s] # 19580 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:72,nodes:14,pairs:3,completionMax:11us [11m11s] 19580 ab:aab=b,baabb=aa infinite ab - - ab:aab=b,baa=b,bbb=aa,aaaa=aa [11m11s] from: 19580 ab:aab=b,baabb=aa infinite to: 19532 ab:aab=b,aabbb=aa infinite a=a,b=b [11m11s] # 19581 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:23,nodes:12,pairs:1,completionMax:7us [11m11s] 19581 ab:aab=b,baabb=ab infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19581 ab:aab=b,baabb=ab infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19582 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:55,nodes:16,pairs:1,completionMax:10us [11m11s] 19582 ab:aab=b,baabb=ba infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 19582 ab:aab=b,baabb=ba infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 19583 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:3us [11m11s] 19583 ab:aab=b,baabb=bb infinite ab - - ab:aab=b,bbb=bb [11m11s] from: 19583 ab:aab=b,baabb=bb infinite to: 19535 ab:aab=b,aabbb=bb infinite a=a,b=b [11m11s] # 19584 solved: rounds:3,rules:4,peak:8,longest:6,steps:6,word:2,work:1007,nodes:22,pairs:18,completionMax:107us [11m11s] 19584 ab:aab=b,babaa=aa finite:14;idempotents:1,aa,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbbaa=aa,aaa=bbaa [11m11s] from: 19584 ab:aab=b,babaa=aa finite:14;idempotents:1,aa,bba,bbbb to: 19552 ab:aab=b,abbaa=aa finite:14;idempotents:1,aa,bba,bbbb a=a,b=b [11m11s] # 19585 solved: rounds:4,rules:4,peak:5,longest:5,steps:3,word:0,work:400,nodes:14,pairs:14,completionMax:51us [11m11s] 19585 ab:aab=b,babaa=ab infinite ab - - ab:bb=b,aab=b,baa=b,bab=ab [11m11s] from: 19585 ab:aab=b,babaa=ab infinite to: 19001 ab:aab=b,ababaa=b infinite a=a,b=b [11m11s] # 19586 solved: rounds:5,rules:6,peak:8,longest:5,steps:3,word:0,work:800,nodes:18,pairs:18,completionMax:76us [11m11s] 19586 ab:aab=b,babaa=ba infinite ab - - ab:aab=b,bba=ba,bbb=bb,baaa=ba,baba=baa,babb=bab [11m11s] # 19587 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:152,nodes:14,pairs:2,completionMax:12us [11m11s] 19587 ab:aab=b,babaa=bb infinite ab - - ab:aab=b,babb=bbb,babaa=bb,babab=bbab [11m11s] # 19588 solved: rounds:2,rules:3,peak:11,longest:5,steps:9,word:1,work:1260,nodes:26,pairs:17,completionMax:118us [11m11s] 19588 ab:aab=b,babab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19588 ab:aab=b,babab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19589 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:2,work:232,nodes:22,pairs:10,completionMax:48us [11m11s] 19589 ab:aab=b,babab=ab infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19589 ab:aab=b,babab=ab infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19590 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:2,work:258,nodes:20,pairs:12,completionMax:62us [11m11s] 19590 ab:aab=b,babab=ba infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 19590 ab:aab=b,babab=ba infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 19591 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:95,nodes:18,pairs:1,completionMax:11us [11m11s] 19591 ab:aab=b,babab=bb infinite ab - - ab:aab=b,bbab=babb,babab=bb [11m11s] # 19592 solved: rounds:3,rules:6,peak:10,longest:5,steps:6,word:0,work:1354,nodes:24,pairs:21,completionMax:102us [11m11s] 19592 ab:aab=b,babba=aa finite:14;idempotents:1,aa,bbb ab - - ab:aab=b,baa=aba,bab=abb,aaaa=aa,bbba=aaa,bbbb=b [11m11s] # 19593 solved: rounds:5,rules:7,peak:12,longest:7,steps:5,word:2,work:4252,nodes:48,pairs:38,completionMax:282us [11m11s] 19593 ab:aab=b,babba=ab infinite reversed:a/b - - ab:aab=b,baa=b,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m11s] from: 19593 ab:aab=b,babba=ab infinite to: 19005 ab:aab=b,ababba=b infinite a=a,b=b [11m11s] # 19594 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:62,nodes:14,pairs:1,completionMax:8us [11m11s] 19594 ab:aab=b,babba=ba infinite ab - - ab:aab=b,babba=ba,babbb=bb [11m11s] # 19595 solved: rounds:4,rules:6,peak:8,longest:9,steps:5,word:2,work:2314,nodes:50,pairs:17,completionMax:103us [11m11s] 19595 ab:aab=b,babba=bb infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babbb=bbbba,bbbaa=bbb,babba=bb,aab=b [11m11s] # 19596 solved: rounds:5,rules:4,peak:8,longest:16,steps:9,word:14,work:5118,nodes:48,pairs:38,completionMax:223us [11m11s] 19596 ab:aab=b,babbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] from: 19596 ab:aab=b,babbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19597 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:744,nodes:22,pairs:11,completionMax:43us [11m11s] 19597 ab:aab=b,babbb=ab infinite ab - - ab:aab=b,bab=abb,bbbb=b [11m11s] from: 19597 ab:aab=b,babbb=ab infinite to: 12553 ab:abab=bb,bbbb=b infinite a=a,b=b [11m11s] # 19598 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:1,work:190,nodes:20,pairs:4,completionMax:22us [11m11s] 19598 ab:aab=b,babbb=ba infinite b/a - - ab:bbbbb=bb,babbb=ba,bbbba=ba,aab=b,baa=bbbb [11m11s] # 19599 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [11m11s] 19599 ab:aab=b,babbb=bb infinite ab - - ab:aab=b,babbb=bb [11m11s] # 19600 solved: rounds:2,rules:4,peak:6,longest:6,steps:4,word:2,work:462,nodes:22,pairs:7,completionMax:42us [11m11s] 19600 ab:aab=b,bbaaa=aa finite:14;idempotents:1,aa,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,bbbbaa=aa,aaa=bbaa [11m11s] from: 19600 ab:aab=b,bbaaa=aa finite:14;idempotents:1,aa,bba,bbbb to: 19552 ab:aab=b,abbaa=aa finite:14;idempotents:1,aa,bba,bbbb a=a,b=b [11m11s] # 19601 solved: rounds:5,rules:4,peak:7,longest:5,steps:6,word:2,work:833,nodes:30,pairs:12,completionMax:81us [11m11s] 19601 ab:aab=b,bbaaa=ab infinite b/a - - ab:bbbb=b,bab=abbb,aab=b,baaa=abb [11m11s] from: 19601 ab:aab=b,bbaaa=ab infinite to: 19009 ab:aab=b,abbaaa=b infinite a=a,b=b [11m11s] # 19602 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:193,nodes:14,pairs:5,completionMax:28us [11m11s] 19602 ab:aab=b,bbaaa=ba infinite ab - - ab:aab=b,bba=ba,bbb=bb,baaa=ba [11m11s] # 19603 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:45,nodes:14,pairs:2,completionMax:9us [11m11s] 19603 ab:aab=b,bbaaa=bb infinite ab - - ab:aab=b,bbab=bbb,bbaaa=bb [11m11s] # 19604 solved: rounds:1,rules:4,peak:4,longest:4,steps:1,word:0,work:73,nodes:14,pairs:3,completionMax:12us [11m11s] 19604 ab:aab=b,bbaab=aa infinite ab - - ab:aab=b,baa=b,bbb=aa,aaaa=aa [11m11s] from: 19604 ab:aab=b,bbaab=aa infinite to: 19532 ab:aab=b,aabbb=aa infinite a=a,b=b [11m11s] # 19605 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:24,nodes:12,pairs:1,completionMax:7us [11m11s] 19605 ab:aab=b,bbaab=ab infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 19605 ab:aab=b,bbaab=ab infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 19606 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:56,nodes:16,pairs:1,completionMax:9us [11m11s] 19606 ab:aab=b,bbaab=ba infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 19606 ab:aab=b,bbaab=ba infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 19607 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:3us [11m11s] 19607 ab:aab=b,bbaab=bb infinite ab - - ab:aab=b,bbb=bb [11m11s] from: 19607 ab:aab=b,bbaab=bb infinite to: 19535 ab:aab=b,aabbb=bb infinite a=a,b=b [11m11s] # 19608 solved: rounds:5,rules:6,peak:13,longest:5,steps:4,word:0,work:2283,nodes:36,pairs:53,completionMax:216us [11m11s] 19608 ab:aab=b,bbaba=aa finite:14;idempotents:1,aa,bbb ab - - ab:aab=b,baa=aba,bab=abb,aaaa=aa,bbba=aaa,bbbb=b [11m11s] from: 19608 ab:aab=b,bbaba=aa finite:14;idempotents:1,aa,bbb to: 19592 ab:aab=b,babba=aa finite:14;idempotents:1,aa,bbb a=a,b=b [11m11s] # 19609 solved: rounds:5,rules:7,peak:14,longest:7,steps:5,word:2,work:5286,nodes:48,pairs:81,completionMax:400us [11m11s] 19609 ab:aab=b,bbaba=ab infinite a/b - - ab:baa=b,aab=b,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m11s] from: 19609 ab:aab=b,bbaba=ab infinite to: 19005 ab:aab=b,ababba=b infinite anti:a=a,b=b [11m11s] # 19610 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:62,nodes:14,pairs:1,completionMax:10us [11m11s] 19610 ab:aab=b,bbaba=ba infinite ab - - ab:aab=b,bbaba=ba,bbabb=bb [11m11s] # 19611 solved: rounds:5,rules:4,peak:6,longest:5,steps:4,word:0,work:871,nodes:16,pairs:16,completionMax:65us [11m11s] 19611 ab:aab=b,bbaba=bb infinite ab - - ab:aab=b,bbb=bb,bbaa=bb,bbab=bba [11m11s] # 19612 solved: rounds:5,rules:4,peak:10,longest:16,steps:12,word:6,work:6554,nodes:64,pairs:46,completionMax:327us [11m11s] 19612 ab:aab=b,bbabb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] from: 19612 ab:aab=b,bbabb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19613 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:586,nodes:28,pairs:15,completionMax:56us [11m11s] 19613 ab:aab=b,bbabb=ab infinite ab - - ab:aab=b,bab=abb,bbbb=b [11m11s] from: 19613 ab:aab=b,bbabb=ab infinite to: 12553 ab:abab=bb,bbbb=b infinite a=a,b=b [11m11s] # 19614 solved: rounds:3,rules:5,peak:9,longest:6,steps:5,word:1,work:1082,nodes:36,pairs:16,completionMax:95us [11m11s] 19614 ab:aab=b,bbabb=ba infinite reversed:b/a - - ab:bbbbb=bb,bbbba=ba,bab=bba,baa=bbbb,aab=b [11m11s] # 19615 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:29,nodes:14,pairs:0,completionMax:3us [11m11s] 19615 ab:aab=b,bbabb=bb infinite ab - - ab:aab=b,bbabb=bb [11m11s] # 19616 solved: rounds:1,rules:5,peak:5,longest:5,steps:2,word:0,work:142,nodes:16,pairs:3,completionMax:20us [11m11s] 19616 ab:aab=b,bbbaa=aa infinite ab - - ab:aab=b,aaaa=aa,bbbb=b,bbbaa=aa,bbbab=ab [11m11s] # 19617 solved: rounds:4,rules:3,peak:8,longest:6,steps:3,word:1,work:766,nodes:26,pairs:21,completionMax:90us [11m11s] 19617 ab:aab=b,bbbaa=ab infinite b/a - - ab:bbbbb=b,ab=bbb,baa=b [11m11s] from: 19617 ab:aab=b,bbbaa=ab infinite to: 2081 ab:aab=b,bbba=b infinite anti:a=a,b=b [11m11s] # 19618 solved: rounds:3,rules:5,peak:6,longest:6,steps:2,word:1,work:346,nodes:22,pairs:8,completionMax:52us [11m11s] 19618 ab:aab=b,bbbaa=ba infinite b/a - - ab:bbbbbb=bb,bab=bbbb,bbbbba=ba,aab=b,baa=bbba [11m11s] # 19619 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:375,nodes:14,pairs:8,completionMax:34us [11m11s] 19619 ab:aab=b,bbbaa=bb infinite ab - - ab:aab=b,bbb=bb,bbaa=bb [11m11s] # 19620 solved: rounds:5,rules:4,peak:10,longest:12,steps:9,word:6,work:2905,nodes:46,pairs:78,completionMax:351us [11m11s] 19620 ab:aab=b,bbbab=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] from: 19620 ab:aab=b,bbbab=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19621 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:59,nodes:14,pairs:1,completionMax:11us [11m11s] 19621 ab:aab=b,bbbab=ab infinite ab - - ab:aab=b,bbbb=b,bbbab=ab [11m11s] from: 19621 ab:aab=b,bbbab=ab infinite to: 19019 ab:aab=b,abbbab=b infinite a=a,b=b [11m11s] # 19622 solved: rounds:4,rules:5,peak:13,longest:6,steps:3,word:1,work:2479,nodes:48,pairs:62,completionMax:263us [11m11s] 19622 ab:aab=b,bbbab=ba infinite reversed:b/a - - ab:bbbbb=bb,bbbba=ba,bab=bba,baa=bbbb,aab=b [11m11s] from: 19622 ab:aab=b,bbbab=ba infinite to: 19614 ab:aab=b,bbabb=ba infinite a=a,b=b [11m11s] # 19623 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:2us [11m11s] 19623 ab:aab=b,bbbab=bb infinite ab - - ab:aab=b,bbbab=bb [11m11s] # 19624 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:94,nodes:20,pairs:5,completionMax:16us [11m11s] 19624 ab:aab=b,bbbba=aa finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=bbbba [11m11s] # 19625 solved: rounds:5,rules:3,peak:7,longest:18,steps:7,word:9,work:1409,nodes:70,pairs:14,completionMax:102us [11m11s] 19625 ab:aab=b,bbbba=ab infinite b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aab=b [11m11s] from: 19625 ab:aab=b,bbbba=ab infinite to: 19021 ab:aab=b,abbbba=b infinite a=a,b=b [11m11s] # 19626 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:60,nodes:14,pairs:1,completionMax:9us [11m11s] 19626 ab:aab=b,bbbba=ba infinite ab - - ab:aab=b,bbbba=ba,bbbbb=bb [11m11s] # 19627 solved: rounds:4,rules:3,peak:6,longest:7,steps:2,word:1,work:558,nodes:20,pairs:7,completionMax:48us [11m11s] 19627 ab:aab=b,bbbba=bb infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aab=b [11m11s] # 19628 solved: rounds:1,rules:4,peak:4,longest:5,steps:1,word:0,work:89,nodes:18,pairs:5,completionMax:16us [11m11s] 19628 ab:aab=b,bbbbb=aa infinite ab - - ab:aab=b,baa=b,aaaa=aa,bbbbb=aa [11m11s] # 19629 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:31,nodes:20,pairs:1,completionMax:7us [11m11s] 19629 ab:aab=b,bbbbb=ab infinite b/a - - ab:bbbbbbbbb=b,ab=bbbbb [11m11s] from: 19629 ab:aab=b,bbbbb=ab infinite to: 19023 ab:aab=b,abbbbb=b infinite a=a,b=b [11m11s] # 19630 solved: rounds:1,rules:3,peak:3,longest:10,steps:1,word:3,work:77,nodes:24,pairs:1,completionMax:19us [11m11s] 19630 ab:aab=b,bbbbb=ba infinite b/a - - ab:bbbbbbbbbb=bb,ba=bbbbb,aab=b [11m11s] # 19631 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:28,nodes:14,pairs:0,completionMax:4us [11m11s] 19631 ab:aab=b,bbbbb=bb infinite ab - - ab:aab=b,bbbbb=bb [11m11s] # 19632 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:43,nodes:12,pairs:0,completionMax:4us [11m11s] 19632 ab:aba=a,aaaaa=aa infinite ab - - ab:aba=a,aaaaa=aa [11m11s] # 19633 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:34,nodes:12,pairs:2,completionMax:11us [11m11s] 19633 ab:aba=a,aaaaa=ab infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 19633 ab:aba=a,aaaaa=ab infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 19634 solved: rounds:4,rules:5,peak:10,longest:14,steps:5,word:10,work:2785,nodes:50,pairs:16,completionMax:134us [11m11s] 19634 ab:aba=a,aaaaa=bb finite:25;idempotents:1,ab,ba,bbbbbbb;center:1,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bb,abb=bbbbbbbb,bba=bbbbbbbb,aba=a,aaaaa=bb [11m11s] # 19635 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:355,nodes:12,pairs:5,completionMax:29us [11m11s] 19635 ab:aba=a,aaaab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=a [11m11s] from: 19635 ab:aba=a,aaaab=aa infinite to: 1610 ab:aab=aa,aba=a infinite a=a,b=b [11m11s] # 19636 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:47,nodes:12,pairs:1,completionMax:10us [11m11s] 19636 ab:aba=a,aaaab=ab infinite ab - - ab:aba=a,aaaa=a [11m11s] from: 19636 ab:aba=a,aaaab=ab infinite to: 2084 ab:aba=a,aaaa=a infinite a=a,b=b [11m11s] # 19637 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:2,work:502,nodes:18,pairs:18,completionMax:68us [11m11s] 19637 ab:aba=a,aaaab=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19637 ab:aba=a,aaaab=ba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19638 solved: rounds:3,rules:4,peak:5,longest:10,steps:3,word:3,work:755,nodes:32,pairs:11,completionMax:64us [11m11s] 19638 ab:aba=a,aaaab=bb finite:24;idempotents:1,ab,ba,aaaaa,aaaaaab a/b - - ab:aaaaaaaaa=aaaa,baaaa=aaaaaaaa,aba=a,bb=aaaab [11m11s] # 19639 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:42,nodes:8,pairs:0,completionMax:6us [11m11s] 19639 ab:aba=a,aaaba=aa infinite ab - - ab:aaa=aa,aba=a [11m11s] from: 19639 ab:aba=a,aaaba=aa infinite to: 1578 ab:aaa=aa,aba=a infinite a=a,b=b [11m11s] # 19640 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:31,nodes:8,pairs:2,completionMax:6us [11m11s] 19640 ab:aba=a,aaaba=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19640 ab:aba=a,aaaba=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19641 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:32,nodes:10,pairs:1,completionMax:8us [11m11s] 19641 ab:aba=a,aaaba=ba infinite a/b - - ab:aaaa=a,ba=aaa [11m11s] from: 19641 ab:aba=a,aaaba=ba infinite to: 1586 ab:aaa=ab,aab=a infinite anti:a=a,b=b [11m11s] # 19642 solved: rounds:2,rules:5,peak:5,longest:8,steps:3,word:3,work:388,nodes:24,pairs:3,completionMax:29us [11m11s] 19642 ab:aba=a,aaaba=bb finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aba=a,aaab=aaaaaaa,bb=aaa [11m11s] from: 19642 ab:aba=a,aaaba=bb finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa to: 1602 ab:aaa=bb,aba=a finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa a=a,b=b [11m11s] # 19643 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m11s] 19643 ab:aba=a,aaabb=aa infinite ab - - ab:aba=a,aaabb=aa [11m11s] # 19644 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:1us [11m11s] 19644 ab:aba=a,aaabb=ab infinite ab - - ab:aba=a,aaabb=ab [11m11s] # 19645 solved: rounds:4,rules:3,peak:7,longest:5,steps:5,word:0,work:535,nodes:20,pairs:20,completionMax:45us [11m11s] 19645 ab:aba=a,aaabb=ba infinite ab - - ab:aa=a,ba=a,abb=a [11m11s] from: 19645 ab:aba=a,aaabb=ba infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [11m11s] # 19646 solved: rounds:4,rules:3,peak:4,longest:5,steps:2,word:1,work:96,nodes:16,pairs:6,completionMax:25us [11m11s] 19646 ab:aba=a,aaabb=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,aba=a [11m11s] # 19647 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:41,nodes:8,pairs:0,completionMax:4us [11m11s] 19647 ab:aba=a,aabaa=aa infinite ab - - ab:aaa=aa,aba=a [11m11s] from: 19647 ab:aba=a,aabaa=aa infinite to: 1578 ab:aaa=aa,aba=a infinite a=a,b=b [11m11s] # 19648 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:30,nodes:8,pairs:2,completionMax:6us [11m11s] 19648 ab:aba=a,aabaa=ab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19648 ab:aba=a,aabaa=ab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19649 solved: rounds:2,rules:5,peak:5,longest:8,steps:3,word:3,work:387,nodes:24,pairs:3,completionMax:31us [11m11s] 19649 ab:aba=a,aabaa=bb finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aba=a,aaab=aaaaaaa,bb=aaa [11m11s] from: 19649 ab:aba=a,aabaa=bb finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa to: 1602 ab:aaa=bb,aba=a finite:15;idempotents:1,ab,ba,aaaaa;center:1,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa a=a,b=b [11m11s] # 19650 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:67,nodes:8,pairs:1,completionMax:5us [11m11s] 19650 ab:aba=a,aabab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=a [11m11s] from: 19650 ab:aba=a,aabab=aa infinite to: 1610 ab:aab=aa,aba=a infinite a=a,b=b [11m11s] # 19651 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:37,nodes:8,pairs:1,completionMax:7us [11m11s] 19651 ab:aba=a,aabab=ab infinite ab - - ab:aa=a,aba=a [11m11s] from: 19651 ab:aba=a,aabab=ab infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 19652 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:292,nodes:14,pairs:15,completionMax:33us [11m11s] 19652 ab:aba=a,aabab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19652 ab:aba=a,aabab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19653 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:1,work:314,nodes:20,pairs:11,completionMax:41us [11m11s] 19653 ab:aba=a,aabab=bb finite:12;idempotents:1,ab,ba,aaa,aaaab a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,bb=aab [11m11s] from: 19653 ab:aba=a,aabab=bb finite:12;idempotents:1,ab,ba,aaa,aaaab to: 1646 ab:aab=bb,aba=a finite:12;idempotents:1,ab,ba,aaa,aaaab a=a,b=b [11m11s] # 19654 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:4us [11m11s] 19654 ab:aba=a,aabba=aa infinite ab - - ab:aba=a,aabba=aa [11m11s] # 19655 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:192,nodes:14,pairs:9,completionMax:24us [11m11s] 19655 ab:aba=a,aabba=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19655 ab:aba=a,aabba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19656 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:0,work:358,nodes:18,pairs:13,completionMax:32us [11m11s] 19656 ab:aba=a,aabba=ba infinite ab - - ab:aa=a,ba=a [11m11s] from: 19656 ab:aba=a,aabba=ba infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [11m11s] # 19657 solved: rounds:3,rules:4,peak:8,longest:6,steps:4,word:1,work:663,nodes:28,pairs:17,completionMax:66us [11m11s] 19657 ab:aba=a,aabba=bb infinite b/a - - ab:bbbbb=bb,abb=bbbb,bba=bbbb,aba=a [11m11s] # 19658 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m11s] 19658 ab:aba=a,aabbb=aa infinite ab - - ab:aba=a,aabbb=aa [11m11s] # 19659 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:6us [11m11s] 19659 ab:aba=a,aabbb=ab infinite ab - - ab:aba=a,aabbb=ab [11m11s] # 19660 solved: rounds:5,rules:3,peak:10,longest:7,steps:8,word:0,work:1709,nodes:30,pairs:37,completionMax:140us [11m11s] 19660 ab:aba=a,aabbb=ba infinite ab - - ab:aa=a,ba=a,abbb=a [11m11s] from: 19660 ab:aba=a,aabbb=ba infinite to: 2992 ab:ab=a,bbbaa=a infinite anti:a=a,b=b [11m11s] # 19661 solved: rounds:3,rules:3,peak:3,longest:5,steps:2,word:0,work:64,nodes:14,pairs:4,completionMax:15us [11m11s] 19661 ab:aba=a,aabbb=bb infinite ab - - ab:aba=a,abb=bb,bbb=bb [11m11s] # 19662 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:66,nodes:8,pairs:1,completionMax:11us [11m11s] 19662 ab:aba=a,abaab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=a [11m11s] from: 19662 ab:aba=a,abaab=aa infinite to: 1610 ab:aab=aa,aba=a infinite a=a,b=b [11m11s] # 19663 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:36,nodes:8,pairs:1,completionMax:10us [11m11s] 19663 ab:aba=a,abaab=ab infinite ab - - ab:aa=a,aba=a [11m11s] from: 19663 ab:aba=a,abaab=ab infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 19664 solved: rounds:4,rules:3,peak:6,longest:4,steps:3,word:0,work:291,nodes:14,pairs:15,completionMax:39us [11m11s] 19664 ab:aba=a,abaab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19664 ab:aba=a,abaab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19665 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:1,work:313,nodes:20,pairs:11,completionMax:39us [11m11s] 19665 ab:aba=a,abaab=bb finite:12;idempotents:1,ab,ba,aaa,aaaab a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,bb=aab [11m11s] from: 19665 ab:aba=a,abaab=bb finite:12;idempotents:1,ab,ba,aaa,aaaab to: 1646 ab:aab=bb,aba=a finite:12;idempotents:1,ab,ba,aaa,aaaab a=a,b=b [11m11s] # 19666 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:6,pairs:0,completionMax:2us [11m11s] 19666 ab:aba=a,ababa=aa infinite ab - - ab:aa=a,aba=a [11m11s] from: 19666 ab:aba=a,ababa=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 19667 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:6,pairs:2,completionMax:5us [11m11s] 19667 ab:aba=a,ababa=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19667 ab:aba=a,ababa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19668 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:2,work:48,nodes:10,pairs:2,completionMax:9us [11m11s] 19668 ab:aba=a,ababa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 b/a - - ab:bbbbb=bb,a=bb [11m11s] from: 19668 ab:aba=a,ababa=bb finite:5;idempotents:1,bbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b2,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 to: 254 ab:aa=b,abb=b finite:5;idempotents:1,aaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a2,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a=aa,b=a [11m11s] # 19669 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m11s] 19669 ab:aba=a,ababb=aa infinite ab - - ab:aba=a,abb=aa [11m11s] # 19670 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m11s] 19670 ab:aba=a,ababb=ab infinite ab - - ab:aba=a,abb=ab [11m11s] # 19671 solved: rounds:3,rules:3,peak:5,longest:3,steps:2,word:0,work:149,nodes:12,pairs:5,completionMax:23us [11m11s] 19671 ab:aba=a,ababb=ba infinite ab - - ab:aa=a,ba=a,abb=a [11m11s] from: 19671 ab:aba=a,ababb=ba infinite to: 944 ab:ab=a,bbaa=a infinite anti:a=a,b=b [11m11s] # 19672 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:10,pairs:1,completionMax:6us [11m11s] 19672 ab:aba=a,ababb=bb infinite ab - - ab:aba=a,abb=bb,bbb=bb [11m11s] from: 19672 ab:aba=a,ababb=bb infinite to: 19661 ab:aba=a,aabbb=bb infinite a=a,b=b [11m11s] # 19673 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:1,work:211,nodes:14,pairs:7,completionMax:24us [11m11s] 19673 ab:aba=a,abbab=aa infinite a/b - - ab:aaaaa=aa,aba=a,aab=aaaa,abba=aaa [11m11s] # 19674 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:65,nodes:10,pairs:1,completionMax:9us [11m11s] 19674 ab:aba=a,abbab=ab infinite ab - - ab:aba=a,abba=a [11m11s] from: 19674 ab:aba=a,abbab=ab infinite to: 2094 ab:aba=a,abba=a infinite a=a,b=b [11m11s] # 19675 solved: rounds:3,rules:3,peak:7,longest:5,steps:5,word:0,work:591,nodes:16,pairs:22,completionMax:57us [11m11s] 19675 ab:aba=a,abbab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19675 ab:aba=a,abbab=ba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19676 solved: rounds:3,rules:4,peak:7,longest:5,steps:3,word:0,work:686,nodes:18,pairs:13,completionMax:69us [11m11s] 19676 ab:aba=a,abbab=bb infinite ab - - ab:aba=a,abb=bb,bbb=bb,bbab=bb [11m11s] # 19677 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:4us [11m11s] 19677 ab:aba=a,abbba=aa infinite ab - - ab:aba=a,abbba=aa [11m11s] # 19678 solved: rounds:2,rules:2,peak:7,longest:6,steps:7,word:0,work:423,nodes:12,pairs:10,completionMax:41us [11m11s] 19678 ab:aba=a,abbba=ab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19678 ab:aba=a,abbba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19679 solved: rounds:3,rules:4,peak:6,longest:5,steps:4,word:0,work:585,nodes:16,pairs:19,completionMax:39us [11m11s] 19679 ab:aba=a,abbba=bb infinite ab - - ab:aba=a,abb=bb,bba=bb,bbb=bb [11m11s] # 19680 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:3us [11m11s] 19680 ab:aba=a,abbbb=aa infinite ab - - ab:aba=a,abbbb=aa [11m11s] # 19681 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:2us [11m11s] 19681 ab:aba=a,abbbb=ab infinite ab - - ab:aba=a,abbbb=ab [11m11s] # 19682 solved: rounds:6,rules:3,peak:7,longest:5,steps:2,word:1,work:486,nodes:20,pairs:20,completionMax:43us [11m11s] 19682 ab:aba=a,abbbb=ba infinite a/b - - ab:aaaa=a,ba=aaa,abbbb=aaa [11m11s] from: 19682 ab:aba=a,abbbb=ba infinite to: 18952 ab:aab=a,bbbbaa=a infinite anti:a=a,b=b [11m11s] # 19683 solved: rounds:3,rules:3,peak:3,longest:5,steps:2,word:0,work:84,nodes:12,pairs:3,completionMax:12us [11m11s] 19683 ab:aba=a,abbbb=bb infinite ab - - ab:aba=a,abb=bb,bbb=bb [11m11s] from: 19683 ab:aba=a,abbbb=bb infinite to: 19661 ab:aba=a,aabbb=bb infinite a=a,b=b [11m11s] # 19684 solved: rounds:3,rules:4,peak:4,longest:5,steps:4,word:0,work:317,nodes:18,pairs:14,completionMax:31us [11m11s] 19684 ab:aba=a,baaab=aa infinite ab - - ab:aaa=aa,aab=aa,aba=a,baa=aa [11m11s] # 19685 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:355,nodes:18,pairs:15,completionMax:57us [11m11s] 19685 ab:aba=a,baaab=ab infinite ab - - ab:aa=a,ba=a [11m11s] from: 19685 ab:aba=a,baaab=ab infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [11m11s] # 19686 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:5,work:242,nodes:16,pairs:4,completionMax:32us [11m11s] 19686 ab:aba=a,baaab=bb infinite a/b - - ab:aba=a,bba=baaa,baaab=bb,abb=aaab,bbb=baaaaab [11m11s] # 19687 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:285,nodes:20,pairs:7,completionMax:27us [11m11s] 19687 ab:aba=a,baabb=aa infinite a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,aabb=aaa [11m11s] # 19688 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:412,nodes:18,pairs:22,completionMax:47us [11m11s] 19688 ab:aba=a,baabb=ab infinite ab - - ab:aa=a,ba=a,abb=ab [11m11s] from: 19688 ab:aba=a,baabb=ab infinite to: 12461 ab:aabb=ab,baaa=a infinite a=a,b=b [11m11s] # 19689 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:36,nodes:18,pairs:2,completionMax:6us [11m11s] 19689 ab:aba=a,baabb=ba infinite ab - - ab:aba=a,aabb=a [11m11s] from: 19689 ab:aba=a,baabb=ba infinite to: 2090 ab:aba=a,aabb=a infinite a=a,b=b [11m11s] # 19690 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:54,nodes:18,pairs:2,completionMax:10us [11m11s] 19690 ab:aba=a,baabb=bb infinite ab - - ab:aba=a,aabb=abb,babb=bb [11m11s] # 19691 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:1,work:93,nodes:10,pairs:11,completionMax:17us [11m11s] 19691 ab:aba=a,babab=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19691 ab:aba=a,babab=aa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19692 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:78,nodes:12,pairs:7,completionMax:18us [11m11s] 19692 ab:aba=a,babab=ab infinite ab - - ab:aa=a,ba=a [11m11s] from: 19692 ab:aba=a,babab=ab infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [11m11s] # 19693 solved: rounds:2,rules:5,peak:5,longest:3,steps:2,word:0,work:171,nodes:12,pairs:5,completionMax:18us [11m11s] 19693 ab:aba=a,babab=bb infinite ab - - ab:aba=a,abb=ab,bab=bb,bba=ba,bbb=bb [11m11s] # 19694 solved: rounds:3,rules:4,peak:7,longest:9,steps:2,word:3,work:958,nodes:36,pairs:12,completionMax:81us [11m11s] 19694 ab:aba=a,babbb=aa infinite a/b - - ab:aaaaaaa=aa,baa=aaaaaa,aba=a,abbb=aaa [11m11s] # 19695 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:1,work:803,nodes:30,pairs:23,completionMax:91us [11m11s] 19695 ab:aba=a,babbb=ab infinite a/b - - ab:aaaa=a,ba=aaa,abbb=aab [11m11s] from: 19695 ab:aba=a,babbb=ab infinite to: 19494 ab:aab=a,bbbab=ba infinite anti:a=a,b=b [11m11s] # 19696 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:36,nodes:16,pairs:2,completionMax:8us [11m11s] 19696 ab:aba=a,babbb=ba infinite ab - - ab:aba=a,abbb=a [11m11s] from: 19696 ab:aba=a,babbb=ba infinite to: 2096 ab:aba=a,abbb=a infinite a=a,b=b [11m11s] # 19697 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:0,work:150,nodes:16,pairs:3,completionMax:19us [11m11s] 19697 ab:aba=a,babbb=bb infinite ab - - ab:aba=a,bbb=bb,babb=bb [11m11s] # 19698 solved: rounds:2,rules:6,peak:6,longest:6,steps:3,word:0,work:514,nodes:22,pairs:7,completionMax:37us [11m11s] 19698 ab:aba=a,bbabb=aa infinite ab - - ab:aba=a,bbaa=aabb,aabba=aaabb,bbabb=aa,aabbba=aabb,aabbbb=aaa [11m11s] # 19699 solved: rounds:3,rules:4,peak:7,longest:5,steps:3,word:1,work:553,nodes:22,pairs:18,completionMax:76us [11m11s] 19699 ab:aba=a,bbabb=ab infinite a/b - - ab:aaaa=a,aba=a,bba=aa,abb=aaab [11m11s] # 19700 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:27,nodes:14,pairs:0,completionMax:3us [11m11s] 19700 ab:aba=a,bbabb=bb infinite ab - - ab:aba=a,bbabb=bb [11m11s] # 19701 solved: rounds:5,rules:5,peak:10,longest:14,steps:5,word:10,work:3162,nodes:52,pairs:17,completionMax:172us [11m11s] 19701 ab:aba=a,bbbbb=aa infinite a/b - - ab:aaaaaaaaa=aa,baa=aaaaaaaa,aba=a,aab=aaaaaaaa,bbbbb=aa [11m11s] # 19702 solved: rounds:4,rules:4,peak:11,longest:6,steps:4,word:3,work:1496,nodes:24,pairs:64,completionMax:140us [11m11s] 19702 ab:aba=a,bbbbb=ab finite:15;idempotents:1,ab,aaaaa a/b - - ab:aaaaaa=a,ba=aaaaa,abb=aaaaab,bbbbb=ab [11m11s] from: 19702 ab:aba=a,bbbbb=ab finite:15;idempotents:1,ab,aaaaa to: 19502 ab:aab=a,bbbbb=ba finite:15;idempotents:1,ba,aaaaa anti:a=a,b=b [11m11s] # 19703 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:26,nodes:14,pairs:0,completionMax:4us [11m11s] 19703 ab:aba=a,bbbbb=bb infinite ab - - ab:aba=a,bbbbb=bb [11m11s] # 19704 solved: rounds:3,rules:3,peak:7,longest:5,steps:5,word:2,work:456,nodes:20,pairs:13,completionMax:52us [11m11s] 19704 ab:aba=b,aaaaa=aa infinite a/b - - ab:aaaaa=aa,baaa=b,ab=baa [11m11s] # 19705 solved: rounds:2,rules:2,peak:3,longest:11,steps:5,word:8,work:1271,nodes:22,pairs:4,completionMax:41us [11m11s] 19705 ab:aba=b,aaaaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aaaaaa [11m11s] from: 19705 ab:aba=b,aaaaa=ab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a6;saturation:a:a2=1;noncancellative:aaaaaa,1,aaaaa,aaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbbbb [11m11s] # 19706 solved: rounds:6,rules:4,peak:4,longest:15,steps:27,word:35,work:1178,nodes:50,pairs:13,completionMax:68us [11m11s] 19706 ab:aba=b,aaaaa=bb finite:25;idempotents:1,aaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=aaaaa,baaaaaaaaaa=b,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 19707 solved: rounds:3,rules:2,peak:10,longest:5,steps:3,word:1,work:739,nodes:18,pairs:32,completionMax:70us [11m11s] 19707 ab:aba=b,aaaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [11m11s] from: 19707 ab:aba=b,aaaab=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [11m11s] # 19708 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:1,work:213,nodes:18,pairs:14,completionMax:46us [11m11s] 19708 ab:aba=b,aaaab=ab infinite a/b - - ab:baaa=b,ab=baa [11m11s] from: 19708 ab:aba=b,aaaab=ab infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [11m11s] # 19709 solved: rounds:4,rules:2,peak:4,longest:6,steps:8,word:5,work:186,nodes:14,pairs:12,completionMax:31us [11m11s] 19709 ab:aba=b,aaaab=ba infinite a/b - - ab:baaaaa=b,ab=baaaa [11m11s] from: 19709 ab:aba=b,aaaab=ba infinite to: 19163 ab:aba=b,aaaaab=b infinite a=a,b=b [11m11s] # 19710 solved: rounds:5,rules:3,peak:8,longest:5,steps:5,word:0,work:1124,nodes:22,pairs:22,completionMax:90us [11m11s] 19710 ab:aba=b,aaaab=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19710 ab:aba=b,aaaab=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19711 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:2,work:283,nodes:16,pairs:12,completionMax:40us [11m11s] 19711 ab:aba=b,aaaba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [11m11s] from: 19711 ab:aba=b,aaaba=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [11m11s] # 19712 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:44,nodes:12,pairs:4,completionMax:13us [11m11s] 19712 ab:aba=b,aaaba=ab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 19712 ab:aba=b,aaaba=ab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 19713 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:1,work:61,nodes:10,pairs:6,completionMax:15us [11m11s] 19713 ab:aba=b,aaaba=ba infinite a/b - - ab:baaa=b,ab=baa [11m11s] from: 19713 ab:aba=b,aaaba=ba infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [11m11s] # 19714 solved: rounds:3,rules:3,peak:6,longest:3,steps:3,word:0,work:245,nodes:14,pairs:14,completionMax:36us [11m11s] 19714 ab:aba=b,aaaba=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19714 ab:aba=b,aaaba=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19715 solved: rounds:4,rules:4,peak:8,longest:5,steps:3,word:2,work:560,nodes:32,pairs:16,completionMax:68us [11m11s] 19715 ab:aba=b,aaabb=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19715 ab:aba=b,aaabb=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19716 solved: rounds:4,rules:3,peak:8,longest:5,steps:4,word:0,work:808,nodes:24,pairs:20,completionMax:76us [11m11s] 19716 ab:aba=b,aaabb=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19716 ab:aba=b,aaabb=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19717 solved: rounds:4,rules:3,peak:9,longest:5,steps:3,word:0,work:982,nodes:24,pairs:37,completionMax:109us [11m11s] 19717 ab:aba=b,aaabb=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19717 ab:aba=b,aaabb=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19718 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:227,nodes:26,pairs:8,completionMax:31us [11m11s] 19718 ab:aba=b,aaabb=bb infinite ab - - ab:aba=b,bba=abb,aaabb=bb,aabbb=babb,baabb=abbb [11m11s] # 19719 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:2,work:41,nodes:8,pairs:2,completionMax:8us [11m11s] 19719 ab:aba=b,aabaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaa=aa,b=aa [11m11s] from: 19719 ab:aba=b,aabaa=aa finite:4;idempotents:1,aa;center:1,a,aa,aaa;commutative:ab:a4=a2,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=b,b=bb [11m11s] # 19720 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:18,nodes:6,pairs:2,completionMax:5us [11m11s] 19720 ab:aba=b,aabaa=ab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 19720 ab:aba=b,aabaa=ab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 19721 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:54,nodes:8,pairs:2,completionMax:10us [11m11s] 19721 ab:aba=b,aabaa=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19721 ab:aba=b,aabaa=bb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19722 solved: rounds:2,rules:4,peak:5,longest:7,steps:3,word:5,work:305,nodes:14,pairs:14,completionMax:44us [11m11s] 19722 ab:aba=b,aabab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19722 ab:aba=b,aabab=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19723 solved: rounds:3,rules:3,peak:7,longest:3,steps:2,word:0,work:308,nodes:14,pairs:10,completionMax:37us [11m11s] 19723 ab:aba=b,aabab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19723 ab:aba=b,aabab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19724 solved: rounds:4,rules:3,peak:7,longest:3,steps:3,word:0,work:336,nodes:12,pairs:14,completionMax:40us [11m11s] 19724 ab:aba=b,aabab=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19724 ab:aba=b,aabab=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19725 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:27,nodes:10,pairs:1,completionMax:5us [11m11s] 19725 ab:aba=b,aabab=bb infinite ab - - ab:aba=b,abb=bb,bba=bb [11m11s] # 19726 solved: rounds:4,rules:4,peak:8,longest:5,steps:3,word:3,work:632,nodes:30,pairs:35,completionMax:112us [11m11s] 19726 ab:aba=b,aabba=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19726 ab:aba=b,aabba=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19727 solved: rounds:4,rules:3,peak:7,longest:5,steps:4,word:0,work:714,nodes:20,pairs:28,completionMax:91us [11m11s] 19727 ab:aba=b,aabba=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19727 ab:aba=b,aabba=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19728 solved: rounds:3,rules:3,peak:9,longest:5,steps:5,word:0,work:946,nodes:22,pairs:24,completionMax:93us [11m11s] 19728 ab:aba=b,aabba=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19728 ab:aba=b,aabba=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19729 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:321,nodes:26,pairs:6,completionMax:33us [11m11s] 19729 ab:aba=b,aabba=bb infinite ab - - ab:aba=b,bba=abb,aaabb=bb,aabbb=babb,baabb=abbb [11m11s] from: 19729 ab:aba=b,aabba=bb infinite to: 19718 ab:aba=b,aaabb=bb infinite a=a,b=b [11m11s] # 19730 solved: rounds:3,rules:3,peak:9,longest:5,steps:5,word:1,work:620,nodes:24,pairs:16,completionMax:67us [11m11s] 19730 ab:aba=b,aabbb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19730 ab:aba=b,aabbb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19731 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:2,work:399,nodes:26,pairs:9,completionMax:45us [11m11s] 19731 ab:aba=b,aabbb=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19731 ab:aba=b,aabbb=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19732 solved: rounds:4,rules:3,peak:10,longest:8,steps:11,word:5,work:2936,nodes:26,pairs:31,completionMax:134us [11m11s] 19732 ab:aba=b,aabbb=ba infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19732 ab:aba=b,aabbb=ba infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19733 solved: rounds:3,rules:5,peak:8,longest:5,steps:4,word:0,work:1097,nodes:26,pairs:18,completionMax:58us [11m11s] 19733 ab:aba=b,aabbb=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] # 19734 solved: rounds:4,rules:4,peak:6,longest:8,steps:11,word:6,work:548,nodes:28,pairs:10,completionMax:61us [11m11s] 19734 ab:aba=b,abaab=aa finite:14;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaaa=aa,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 19734 ab:aba=b,abaab=aa finite:14;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 1682 ab:aba=bb,bab=a finite:14;idempotents:1,bbbbbb;center:1,bbb,bbbbbb a=b,b=a [11m11s] # 19735 solved: rounds:1,rules:3,peak:5,longest:3,steps:2,word:0,work:119,nodes:12,pairs:4,completionMax:18us [11m11s] 19735 ab:aba=b,abaab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19735 ab:aba=b,abaab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19736 solved: rounds:2,rules:3,peak:5,longest:3,steps:3,word:0,work:145,nodes:10,pairs:5,completionMax:23us [11m11s] 19736 ab:aba=b,abaab=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19736 ab:aba=b,abaab=ba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19737 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:49,nodes:12,pairs:3,completionMax:15us [11m11s] 19737 ab:aba=b,abaab=bb infinite ab - - ab:aba=b,abb=bb,bab=bb,bba=bb [11m11s] # 19738 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:2,work:187,nodes:12,pairs:13,completionMax:35us [11m11s] 19738 ab:aba=b,ababa=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aa=bbbb [11m11s] from: 19738 ab:aba=b,ababa=aa finite:6;idempotents:1,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a4=a2,a2b=b,b2=a3;saturation:a:a4=1;noncancellative:aaa,a,ab,b;smith:4 to: 1648 ab:aab=bb,abb=a finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:b4=b2,ab2=a,a2=b3;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19739 solved: rounds:3,rules:3,peak:7,longest:3,steps:2,word:0,work:327,nodes:14,pairs:14,completionMax:41us [11m11s] 19739 ab:aba=b,ababa=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19739 ab:aba=b,ababa=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19740 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:26,nodes:10,pairs:1,completionMax:7us [11m11s] 19740 ab:aba=b,ababa=bb infinite ab - - ab:aba=b,abb=bb,bba=bb [11m11s] from: 19740 ab:aba=b,ababa=bb infinite to: 19725 ab:aba=b,aabab=bb infinite a=a,b=b [11m11s] # 19741 solved: rounds:2,rules:3,peak:6,longest:9,steps:8,word:6,work:333,nodes:20,pairs:13,completionMax:40us [11m11s] 19741 ab:aba=b,ababb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19741 ab:aba=b,ababb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19742 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:195,nodes:14,pairs:4,completionMax:31us [11m11s] 19742 ab:aba=b,ababb=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19742 ab:aba=b,ababb=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19743 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:199,nodes:16,pairs:4,completionMax:30us [11m11s] 19743 ab:aba=b,ababb=ba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19743 ab:aba=b,ababb=ba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19744 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:260,nodes:18,pairs:3,completionMax:22us [11m11s] 19744 ab:aba=b,ababb=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 19744 ab:aba=b,ababb=bb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 19745 solved: rounds:3,rules:3,peak:8,longest:6,steps:4,word:1,work:885,nodes:26,pairs:25,completionMax:107us [11m11s] 19745 ab:aba=b,abbab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19745 ab:aba=b,abbab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19746 solved: rounds:4,rules:3,peak:5,longest:5,steps:3,word:1,work:219,nodes:14,pairs:13,completionMax:43us [11m11s] 19746 ab:aba=b,abbab=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19746 ab:aba=b,abbab=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19747 solved: rounds:4,rules:3,peak:11,longest:8,steps:6,word:4,work:2459,nodes:24,pairs:28,completionMax:184us [11m11s] 19747 ab:aba=b,abbab=ba infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19747 ab:aba=b,abbab=ba infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19748 solved: rounds:2,rules:5,peak:6,longest:5,steps:3,word:0,work:508,nodes:20,pairs:16,completionMax:52us [11m11s] 19748 ab:aba=b,abbab=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 19748 ab:aba=b,abbab=bb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 19749 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:1,work:345,nodes:18,pairs:11,completionMax:40us [11m11s] 19749 ab:aba=b,abbba=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19749 ab:aba=b,abbba=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19750 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:2,work:252,nodes:18,pairs:19,completionMax:48us [11m11s] 19750 ab:aba=b,abbba=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19750 ab:aba=b,abbba=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19751 solved: rounds:2,rules:5,peak:6,longest:5,steps:6,word:0,work:609,nodes:22,pairs:18,completionMax:40us [11m11s] 19751 ab:aba=b,abbba=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 19751 ab:aba=b,abbba=bb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 19752 solved: rounds:2,rules:4,peak:5,longest:13,steps:3,word:11,work:499,nodes:22,pairs:14,completionMax:42us [11m11s] 19752 ab:aba=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] from: 19752 ab:aba=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19753 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:0,work:466,nodes:22,pairs:8,completionMax:56us [11m11s] 19753 ab:aba=b,abbbb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19753 ab:aba=b,abbbb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19754 solved: rounds:3,rules:3,peak:9,longest:5,steps:5,word:0,work:999,nodes:26,pairs:14,completionMax:64us [11m11s] 19754 ab:aba=b,abbbb=ba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19754 ab:aba=b,abbbb=ba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19755 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:2,work:305,nodes:18,pairs:8,completionMax:29us [11m11s] 19755 ab:aba=b,abbbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aba=b [11m11s] # 19756 solved: rounds:5,rules:4,peak:10,longest:12,steps:11,word:12,work:3687,nodes:48,pairs:29,completionMax:265us [11m11s] 19756 ab:aba=b,baaab=aa finite:22;idempotents:1,aaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=aa,baaaaaaaaaa=b,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 19757 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:249,nodes:18,pairs:13,completionMax:44us [11m11s] 19757 ab:aba=b,baaab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 19757 ab:aba=b,baaab=ab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 19758 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:221,nodes:20,pairs:8,completionMax:32us [11m11s] 19758 ab:aba=b,baaab=bb infinite ab - - ab:aba=b,bba=abb,aabb=bab,baab=abb,baaab=bb [11m11s] # 19759 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:1,work:890,nodes:24,pairs:18,completionMax:85us [11m11s] 19759 ab:aba=b,baabb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19759 ab:aba=b,baabb=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19760 solved: rounds:5,rules:3,peak:11,longest:11,steps:10,word:8,work:6096,nodes:44,pairs:41,completionMax:275us [11m11s] 19760 ab:aba=b,baabb=ab infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 19760 ab:aba=b,baabb=ab infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 19761 solved: rounds:3,rules:3,peak:9,longest:6,steps:3,word:2,work:778,nodes:28,pairs:21,completionMax:108us [11m11s] 19761 ab:aba=b,baabb=ba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19761 ab:aba=b,baabb=ba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19762 solved: rounds:2,rules:5,peak:6,longest:5,steps:3,word:0,work:393,nodes:22,pairs:10,completionMax:38us [11m11s] 19762 ab:aba=b,baabb=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 19762 ab:aba=b,baabb=bb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 19763 solved: rounds:2,rules:3,peak:6,longest:9,steps:8,word:6,work:334,nodes:20,pairs:13,completionMax:37us [11m11s] 19763 ab:aba=b,babab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 b/a - - ab:bbbb=b,ba=ab,aa=bbb [11m11s] from: 19763 ab:aba=b,babab=aa finite:8;idempotents:1,bbb;center:1,a,b,ab,bb,abb,bbb,abbb;commutative:ab:b4=b,a2=b3;saturation:ab:b2=1,a3=1;noncancellative:bbb,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=a [11m11s] # 19764 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:196,nodes:14,pairs:4,completionMax:27us [11m11s] 19764 ab:aba=b,babab=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 19764 ab:aba=b,babab=ab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19765 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:261,nodes:18,pairs:3,completionMax:20us [11m11s] 19765 ab:aba=b,babab=bb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 19765 ab:aba=b,babab=bb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 19766 solved: rounds:4,rules:4,peak:9,longest:8,steps:20,word:8,work:2730,nodes:46,pairs:19,completionMax:229us [11m11s] 19766 ab:aba=b,babbb=aa finite:26;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa a/b - - ab:aaaaaaaa=aa,baaaaaa=b,ab=baaaaa,bbbb=aaa [11m11s] # 19767 solved: rounds:3,rules:3,peak:7,longest:6,steps:4,word:0,work:789,nodes:26,pairs:22,completionMax:59us [11m11s] 19767 ab:aba=b,babbb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19767 ab:aba=b,babbb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19768 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:450,nodes:24,pairs:14,completionMax:57us [11m11s] 19768 ab:aba=b,babbb=ba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19768 ab:aba=b,babbb=ba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19769 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:1,work:147,nodes:16,pairs:6,completionMax:25us [11m11s] 19769 ab:aba=b,babbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aba=b [11m11s] from: 19769 ab:aba=b,babbb=bb infinite to: 19755 ab:aba=b,abbbb=bb infinite a=a,b=b [11m11s] # 19770 solved: rounds:2,rules:4,peak:5,longest:9,steps:5,word:3,work:222,nodes:20,pairs:9,completionMax:32us [11m11s] 19770 ab:aba=b,bbabb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aa=bbbbbbbb [11m11s] from: 19770 ab:aba=b,bbabb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19564 ab:aab=b,abbbb=aa finite:10;idempotents:1,bbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,a4=a2,b4=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19771 solved: rounds:3,rules:3,peak:7,longest:5,steps:4,word:0,work:837,nodes:22,pairs:17,completionMax:71us [11m11s] 19771 ab:aba=b,bbabb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 19771 ab:aba=b,bbabb=ab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 19772 solved: rounds:4,rules:4,peak:7,longest:6,steps:4,word:1,work:927,nodes:28,pairs:15,completionMax:68us [11m11s] 19772 ab:aba=b,bbabb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bba=bbbb,aba=b [11m11s] from: 19772 ab:aba=b,bbabb=bb infinite to: 19755 ab:aba=b,abbbb=bb infinite a=a,b=b [11m11s] # 19773 solved: rounds:2,rules:3,peak:6,longest:13,steps:12,word:10,work:565,nodes:28,pairs:13,completionMax:56us [11m11s] 19773 ab:aba=b,bbbbb=aa finite:12;idempotents:1,bbbbb;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb;commutative:ab:b6=b,a2=b5;saturation:ab:b2=1,a5=1;noncancellative:bbbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbb=b,ba=ab,aa=bbbbb [11m11s] # 19774 solved: rounds:2,rules:3,peak:4,longest:10,steps:2,word:3,work:286,nodes:22,pairs:4,completionMax:51us [11m11s] 19774 ab:aba=b,bbbbb=ab infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb [11m11s] from: 19774 ab:aba=b,bbbbb=ab infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 to: 19211 ab:aba=b,abbbbb=b infinite;commutative:ab:a2b=b,b5=ab;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 a=a,b=b [11m11s] # 19775 solved: rounds:4,rules:5,peak:7,longest:5,steps:3,word:0,work:563,nodes:28,pairs:8,completionMax:49us [11m11s] 19775 ab:aba=b,bbbbb=bb infinite ab - - ab:aba=b,bba=abb,aabb=bb,babb=abbb,bbbbb=bb [11m11s] # 19776 solved: rounds:0,rules:1,peak:2,longest:3,steps:2,word:0,work:38,nodes:6,pairs:0,completionMax:5us [11m11s] 19776 ab:aaa=a,aaaa=aaa infinite ab - - ab:aa=a [11m11s] from: 19776 ab:aaa=a,aaaa=aaa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m11s] # 19777 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:1,completionMax:6us [11m11s] 19777 ab:aaa=a,aaaa=aab infinite ab - - ab:ab=a,aaa=a [11m11s] from: 19777 ab:aaa=a,aaaa=aab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m11s] # 19778 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:8,pairs:0,completionMax:3us [11m11s] 19778 ab:aaa=a,aaaa=aba infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 19778 ab:aaa=a,aaaa=aba infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 19779 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:3us [11m11s] 19779 ab:aaa=a,aaaa=abb infinite ab - - ab:aaa=a,abb=aa [11m11s] from: 19779 ab:aaa=a,aaaa=abb infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [11m11s] # 19780 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:76,nodes:10,pairs:3,completionMax:9us [11m11s] 19780 ab:aaa=a,aaaa=bab infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [11m11s] from: 19780 ab:aaa=a,aaaa=bab infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19781 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:1,work:154,nodes:18,pairs:5,completionMax:23us [11m11s] 19781 ab:aaa=a,aaaa=bbb infinite b/a - - ab:bbbbbb=bbb,abbb=a,bbba=a,aa=bbb [11m11s] from: 19781 ab:aaa=a,aaaa=bbb infinite to: 1609 ab:aaa=bb,bbb=b infinite a=b,b=a [11m11s] # 19782 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m11s] 19782 ab:aaa=a,aaab=aaa infinite ab - - ab:ab=a,aaa=a [11m11s] from: 19782 ab:aaa=a,aaab=aaa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m11s] # 19783 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:6,pairs:0,completionMax:12us [11m11s] 19783 ab:aaa=a,aaab=aab infinite ab - - ab:aaa=a,aab=ab [11m11s] from: 19783 ab:aaa=a,aaab=aab infinite to: 19236 ab:aaa=a,aaaab=ab infinite a=a,b=b [11m11s] # 19784 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:75,nodes:12,pairs:6,completionMax:16us [11m11s] 19784 ab:aaa=a,aaab=aba infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaa=a,aac=c [11m11s] from: 19784 ab:aaa=a,aaab=aba infinite to: 19240 ab:aaa=a,aaaba=ab infinite a=a,b=b,c=c [11m11s] # 19785 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:4us [11m11s] 19785 ab:aaa=a,aaab=abb infinite ab - - ab:aaa=a,abb=ab [11m11s] from: 19785 ab:aaa=a,aaab=abb infinite to: 19244 ab:aaa=a,aaabb=ab infinite a=a,b=b [11m11s] # 19786 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:25,nodes:6,pairs:0,completionMax:3us [11m11s] 19786 ab:aaa=a,aaab=baa infinite a/b - - ab:aaa=a,ab=baa [11m11s] from: 19786 ab:aaa=a,aaab=baa infinite to: 1691 ab:abb=ba,bbb=b infinite a=b,b=a [11m11s] # 19787 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:60,nodes:12,pairs:1,completionMax:7us [11m11s] 19787 ab:aaa=a,aaab=bab infinite ab - - ab:aaa=a,bab=ab,baab=aab [11m11s] from: 19787 ab:aaa=a,aaab=bab infinite to: 19285 ab:aaa=a,baaab=ab infinite a=a,b=b [11m11s] # 19788 solved: rounds:1,rules:3,peak:3,longest:9,steps:9,word:6,work:141,nodes:22,pairs:1,completionMax:10us [11m11s] 19788 ab:aaa=a,aaab=bba infinite reversed:b/a - - ab:bbbbbbbba=bba,ab=bba,aaa=a [11m11s] from: 19788 ab:aaa=a,aaab=bba infinite to: 1645 ab:aab=ba,bbb=b infinite a=b,b=a [11m11s] # 19789 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:67,nodes:18,pairs:1,completionMax:9us [11m11s] 19789 ab:aaa=a,aaab=bbb finite:21;idempotents:1,aa,bbbb,bbbbaa,bbbbbba b/a - - ab:bbbbbbb=bbb,ab=bbb,aaa=a [11m11s] from: 19789 ab:aaa=a,aaab=bbb finite:21;idempotents:1,aa,bbbb,bbbbaa,bbbbbba to: 1599 ab:aaa=ab,bbb=b finite:21;idempotents:1,bb,aaaa,bbaaaa,baaaaaa anti:a=b,b=a [11m11s] # 19790 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:72,nodes:10,pairs:1,completionMax:8us [11m11s] 19790 ab:aaa=a,aaba=aaa infinite ab - - ab:aaa=a,aba=aa [11m11s] from: 19790 ab:aaa=a,aaba=aaa infinite to: 1984 ab:aaa=a,aaba=a infinite a=a,b=b [11m11s] # 19791 solved: rounds:2,rules:5,peak:6,longest:4,steps:3,word:0,work:127,nodes:15,pairs:8,completionMax:25us [11m11s] 19791 ab:aaa=a,aaba=aab infinite acb ab=c frequency:2/1 abc:ab=c,ca=c,cb=cc,aaa=a,aac=c [11m11s] from: 19791 ab:aaa=a,aaba=aab infinite to: 19240 ab:aaa=a,aaaba=ab infinite a=a,b=b,c=c [11m11s] # 19792 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:36,nodes:8,pairs:0,completionMax:5us [11m11s] 19792 ab:aaa=a,aaba=aba infinite ab - - ab:aaa=a,aaba=aba [11m11s] # 19793 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:8,pairs:0,completionMax:3us [11m11s] 19793 ab:aaa=a,aaba=abb infinite a/b - - ab:aaa=a,abb=aaba [11m11s] # 19794 solved: rounds:1,rules:5,peak:7,longest:4,steps:4,word:0,work:202,nodes:21,pairs:6,completionMax:28us [11m11s] 19794 ab:aaa=a,aaba=baa infinite acb ba=c frequency:2/0 abc:ca=c,ba=c,bc=cc,aaa=a,aac=c [11m11s] # 19795 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:1,work:203,nodes:22,pairs:2,completionMax:17us [11m11s] 19795 ab:aaa=a,aaba=bab infinite a/b - - ab:aaa=a,bab=aaba,abaab=abaa [11m11s] # 19796 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:15,nodes:10,pairs:0,completionMax:3us [11m11s] 19796 ab:aaa=a,aaba=bba infinite a/b - - ab:aaa=a,bba=aaba [11m11s] # 19797 solved: rounds:3,rules:7,peak:7,longest:8,steps:2,word:1,work:795,nodes:32,pairs:11,completionMax:85us [11m11s] 19797 ab:aaa=a,aaba=bbb infinite b/a - - ab:bbbbbbbb=bbbb,bbbabbb=bbbb,bbbba=bbbbbb,aabbb=bbb,aba=abbb,bbbaa=bbb,aaa=a [11m11s] # 19798 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:25,nodes:10,pairs:1,completionMax:7us [11m11s] 19798 ab:aaa=a,aabb=aaa infinite ab - - ab:aaa=a,abb=aa [11m11s] from: 19798 ab:aaa=a,aabb=aaa infinite to: 1986 ab:aaa=a,aabb=a infinite a=a,b=b [11m11s] # 19799 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:6us [11m11s] 19799 ab:aaa=a,aabb=aab infinite ab - - ab:aaa=a,abb=ab [11m11s] from: 19799 ab:aaa=a,aabb=aab infinite to: 19244 ab:aaa=a,aaabb=ab infinite a=a,b=b [11m11s] # 19800 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:22,nodes:10,pairs:1,completionMax:8us [11m11s] 19800 ab:aaa=a,aabb=aba infinite a/b - - ab:aaa=a,abb=aaba [11m11s] from: 19800 ab:aaa=a,aabb=aba infinite to: 19793 ab:aaa=a,aaba=abb infinite a=a,b=b [11m11s] # 19801 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:8,pairs:0,completionMax:3us [11m11s] 19801 ab:aaa=a,aabb=abb infinite ab - - ab:aaa=a,aabb=abb [11m11s] # 19802 solved: rounds:3,rules:4,peak:5,longest:5,steps:3,word:1,work:357,nodes:18,pairs:13,completionMax:35us [11m11s] 19802 ab:aaa=a,aabb=baa infinite a/b - - ab:aaa=a,aaba=ba,bba=ba,abb=abaa [11m11s] # 19803 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:66,nodes:15,pairs:4,completionMax:12us [11m11s] 19803 ab:aaa=a,aabb=bab infinite acb ab=c frequency:2/0 abc:ab=c,cb=cc,aaa=a,aac=c,acc=bc [11m11s] # 19804 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:1,work:27,nodes:8,pairs:0,completionMax:3us [11m11s] 19804 ab:aaa=a,aabb=bba infinite reversed:a/b - - ab:aaa=a,bba=aabb [11m11s] # 19805 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:155,nodes:16,pairs:2,completionMax:12us [11m11s] 19805 ab:aaa=a,aabb=bbb infinite a/b - - ab:aaa=a,bbb=aabb,baabb=aabb [11m11s] # 19806 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:113,nodes:10,pairs:5,completionMax:12us [11m11s] 19806 ab:aaa=a,abab=aaa infinite ab - - ab:aaa=a,aba=aab,abb=aa [11m11s] from: 19806 ab:aaa=a,abab=aaa infinite to: 1988 ab:aaa=a,abab=a infinite a=a,b=b [11m11s] # 19807 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:62,nodes:12,pairs:1,completionMax:7us [11m11s] 19807 ab:aaa=a,abab=aab infinite ab - - ab:aaa=a,abab=aab,abaab=ab [11m11s] from: 19807 ab:aaa=a,abab=aab infinite to: 19251 ab:aaa=a,aabab=ab infinite a=a,b=b [11m11s] # 19808 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:82,nodes:12,pairs:1,completionMax:11us [11m11s] 19808 ab:aaa=a,abab=aba infinite ab - - ab:aaa=a,abab=aba,abaab=abaa [11m11s] # 19809 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:59,nodes:15,pairs:5,completionMax:10us [11m11s] 19809 ab:aaa=a,abab=abb infinite acb ab=c frequency:2/0 abc:ab=c,cb=cc,aaa=a,aac=c [11m11s] # 19810 solved: rounds:3,rules:4,peak:8,longest:5,steps:4,word:2,work:1104,nodes:26,pairs:23,completionMax:93us [11m11s] 19810 ab:aaa=a,abab=baa infinite a/b - - ab:aaa=a,aaba=ba,bba=ba,bab=abaa [11m11s] # 19811 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:70,nodes:15,pairs:5,completionMax:12us [11m11s] 19811 ab:aaa=a,abab=bab infinite acb ab=c frequency:2/0 abc:ab=c,bc=cc,aaa=a,aac=c,acc=cc [11m11s] # 19812 solved: rounds:4,rules:6,peak:6,longest:16,steps:36,word:8,work:5404,nodes:72,pairs:13,completionMax:187us [11m11s] 19812 ab:aaa=a,abab=bba infinite reversed:a/b - - ab:aaa=a,bba=abab,ababaa=abab,abaabaababa=abaababb,abaababababa=abaababbb,abaabaabaabaabab=abaababbbb [11m11s] # 19813 solved: rounds:3,rules:6,peak:7,longest:9,steps:6,word:2,work:1512,nodes:50,pairs:10,completionMax:89us [11m11s] 19813 ab:aaa=a,abab=bbb infinite b/a - - ab:bbbbbbbb=bbbbb,babbbb=abbbbbb,bbbab=abbbb,aabbb=bbb,abab=bbb,aaa=a [11m11s] # 19814 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:10,pairs:0,completionMax:4us [11m11s] 19814 ab:aaa=a,abba=aaa infinite ab - - ab:aaa=a,abba=a [11m11s] from: 19814 ab:aaa=a,abba=aaa infinite to: 1990 ab:aaa=a,abba=a infinite a=a,b=b [11m11s] # 19815 solved: rounds:3,rules:4,peak:7,longest:6,steps:7,word:1,work:1603,nodes:24,pairs:34,completionMax:95us [11m11s] 19815 ab:aaa=a,abba=aab infinite reversed:a/b - - ab:aaa=a,abaa=ab,abb=aaba,ababa=aabab [11m11s] from: 19815 ab:aaa=a,abba=aab infinite to: 19255 ab:aaa=a,aabba=ab infinite a=a,b=b [11m11s] # 19816 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:5us [11m11s] 19816 ab:aaa=a,abba=aba infinite ab - - ab:aaa=a,abba=aba [11m11s] # 19817 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:88,nodes:15,pairs:6,completionMax:18us [11m11s] 19817 ab:aaa=a,abba=abb infinite acb ab=c frequency:2/1 abc:ab=c,aaa=a,aac=c,cba=cb,cbb=cbc [11m11s] # 19818 solved: rounds:4,rules:15,peak:22,longest:10,steps:5,word:2,work:13796,nodes:102,pairs:89,completionMax:535us [11m11s] 19818 ab:aaa=a,abba=bab infinite a/cb ab=c frequency:2/0 abc:aaa=a,aac=c,ab=c,ccaa=cc,cba=acc,bc=acc,ccacaa=ccac,cacc=ccaca,accac=ccaca,ccb=ccac,bacc=ccac,ccacac=cccca,acccc=cccac,acccac=cccc,ccacb=cccca [11m11s] 19819 ab:aaa=a,abba=bbb hard possibly-finite [11m11s] # 19820 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m11s] 19820 ab:aaa=a,abbb=aaa infinite ab - - ab:aaa=a,abbb=a [11m11s] from: 19820 ab:aaa=a,abbb=aaa infinite to: 1992 ab:aaa=a,abbb=a infinite a=a,b=b [11m11s] # 19821 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 19821 ab:aaa=a,abbb=aab infinite ab - - ab:aaa=a,abbb=aab [11m11s] from: 19821 ab:aaa=a,abbb=aab infinite to: 19259 ab:aaa=a,aabbb=ab infinite a=a,b=b [11m11s] # 19822 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 19822 ab:aaa=a,abbb=aba infinite ab - - ab:aaa=a,abbb=aba [11m11s] # 19823 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 19823 ab:aaa=a,abbb=abb infinite ab - - ab:aaa=a,abbb=abb [11m11s] # 19824 solved: rounds:4,rules:7,peak:8,longest:6,steps:3,word:0,work:1250,nodes:28,pairs:32,completionMax:76us [11m11s] 19824 ab:aaa=a,abbb=baa infinite ab - - ab:aaa=a,aaba=ba,abbb=baa,baba=abba,bbba=aba,aabba=bba,babba=ba [11m11s] # 19825 solved: rounds:2,rules:4,peak:4,longest:16,steps:24,word:21,work:1300,nodes:44,pairs:4,completionMax:39us [11m11s] 19825 ab:aaa=a,abbb=bab infinite b/a - - ab:abbbbbbbbbbbbbbb=abbbbbbbbb,bab=abbb,baabbb=aabbbbbbb,aaa=a [11m11s] # 19826 solved: rounds:5,rules:6,peak:9,longest:23,steps:12,word:16,work:3597,nodes:162,pairs:18,completionMax:262us [11m11s] 19826 ab:aaa=a,abbb=bba infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbb=abbbbbb,bba=abbb,ababbbbbb=aabbbbbbbbbbbbbbb,aaa=a,abaabbbbbb=abbbbbbbbbbbb,abababbb=abbb [11m11s] # 19827 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:4us [11m11s] 19827 ab:aaa=a,abbb=bbb infinite ab - - ab:aaa=a,abbb=bbb [11m11s] # 19828 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:76,nodes:12,pairs:3,completionMax:19us [11m11s] 19828 ab:aaa=a,baab=aaa infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 ab - - ab:ba=ab,aaa=a,abb=aa [11m11s] from: 19828 ab:aaa=a,baab=aaa infinite;commutative:ab:a3=a,ab2=a2;saturation:a:a4=1;noncancellative:bb,a,ab,aab;smith:4 to: 1685 ab:aba=bb,bbb=b infinite;commutative:ab:b3=b,a2b=b2;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 19829 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:12,pairs:0,completionMax:3us [11m11s] 19829 ab:aaa=a,baab=aab infinite ab - - ab:aaa=a,baab=aab [11m11s] # 19830 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:0,work:253,nodes:20,pairs:4,completionMax:17us [11m11s] 19830 ab:aaa=a,baab=aba infinite ab - - ab:aaa=a,baab=aba,baba=abab,ababb=aabaa [11m11s] # 19831 solved: rounds:2,rules:9,peak:9,longest:5,steps:4,word:4,work:295,nodes:36,pairs:8,completionMax:37us [11m11s] 19831 ab:aaa=a,baab=abb infinite reversed:ac/b abb=c frequency:3/0 abc:aaa=a,aac=c,acc=cc,acac=cac,acaab=caab,bc=caab,bac=cb,abb=c,baab=c [11m11s] # 19832 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:4us [11m11s] 19832 ab:aaa=a,baab=bab infinite ab - - ab:aaa=a,baab=bab [11m11s] # 19833 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [11m11s] 19833 ab:aaa=a,baab=bbb infinite ab - - ab:aaa=a,baab=bbb [11m11s] # 19834 solved: rounds:3,rules:3,peak:12,longest:10,steps:8,word:9,work:3000,nodes:36,pairs:16,completionMax:123us [11m11s] 19834 ab:aaa=a,babb=aaa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aaa=a [11m11s] from: 19834 ab:aaa=a,babb=aaa infinite to: 1996 ab:aaa=a,babb=a infinite a=a,b=b [11m11s] # 19835 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:76,nodes:16,pairs:1,completionMax:10us [11m11s] 19835 ab:aaa=a,babb=aab infinite ab - - ab:aaa=a,babb=aab,babaab=aab [11m11s] # 19836 solved: rounds:6,rules:28,peak:37,longest:20,steps:24,word:4,work:390125,nodes:288,pairs:448,completionMax:7178us [11m11s] 19836 ab:aaa=a,babb=aba infinite reversed:b/a - - ab:babbbbbb=babb,aba=babb,abbabb=babbba,babbbabbbb=babbba,babbbbbabbbb=babbbbba,aaa=a,babbaa=babb,babbbbaa=babbbb,bbbbabbbabbba=abbbabbba,bbbbbabbbbbabbba=babbbbbabbba,bbbbbabbbbabbbbba=babbbbabbbbba,babbbaabb=abbbabbba,bbbbbabbbbbaabb=babbbbbaabb,abbbabbbbabb=bbbabbbabbba,babbbbbaabbbbbb=babbbbbaabb,aabbbabbba=babbbbbaabb,abbbabbbabbba=babbbbbaabbba,abbbabbbbbabbba=bbbbabbbbabbbbba,abbbbabbbbbabbba=bbbabbbbbaabb,babbbbbaabbbbba=bbbabbbabbba,abbbbabbbbabbbbba=bbbabbbbbabbba,abbbabbbbbaabb=bbbbabbbbbabbba,abbbbabbbbbaabb=bbbabbbbbaabbba,babbbbbaabbbbabb=babbbbabbbbba,babbbbbaabbbabbbb=babbbbbaabbba,babbbbbaabbaa=babbbbbaabb,babbbbbaabbbbaa=babbbbbaabbbb,babbbbbaabbbaabb=bbbabbbbbabbba [11m11s] # 19837 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:120,nodes:16,pairs:1,completionMax:8us [11m11s] 19837 ab:aaa=a,babb=abb infinite ab - - ab:aaa=a,babb=abb,baabb=aabb [11m11s] # 19838 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:12,pairs:0,completionMax:2us [11m11s] 19838 ab:aaa=a,babb=baa infinite ab - - ab:aaa=a,babb=baa [11m11s] # 19839 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:5us [11m11s] 19839 ab:aaa=a,babb=bab infinite ab - - ab:aaa=a,babb=bab [11m11s] # 19840 solved: rounds:2,rules:4,peak:4,longest:12,steps:10,word:6,work:542,nodes:38,pairs:2,completionMax:36us [11m11s] 19840 ab:aaa=a,babb=bba infinite b/a - - ab:babbbbbbbbbb=babbbb,bba=babb,aaa=a,babababb=babb [11m11s] # 19841 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:3us [11m11s] 19841 ab:aaa=a,babb=bbb infinite ab - - ab:aaa=a,babb=bbb [11m11s] # 19842 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:9,work:198,nodes:24,pairs:3,completionMax:17us [11m11s] 19842 ab:aaa=a,bbbb=aaa finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 b/a - - ab:bbbbbbbbbbbb=bbbb,a=bbbb [11m11s] from: 19842 ab:aaa=a,bbbb=aaa finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=bbbb,b=b [11m11s] # 19843 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:0,work:133,nodes:16,pairs:3,completionMax:12us [11m11s] 19843 ab:aaa=a,bbbb=aab infinite ab - - ab:aaa=a,baab=aabb,bbbb=aab [11m11s] # 19844 solved: rounds:3,rules:8,peak:8,longest:21,steps:8,word:9,work:3504,nodes:72,pairs:13,completionMax:204us [11m11s] 19844 ab:aaa=a,bbbb=aba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bbbbbb,babbbbb=abbbbbbbbb,bbbbabbbb=abbbbb,bbbbba=abbbbb,aabbbb=bbbb,aba=bbbb,bbbbaa=bbbb,aaa=a [11m11s] # 19845 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:102,nodes:22,pairs:1,completionMax:13us [11m11s] 19845 ab:aaa=a,bbbb=abb infinite b/a - - ab:bbbbbbbb=bbbb,abb=bbbb,aaa=a [11m11s] # 19846 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:15,nodes:10,pairs:0,completionMax:10us [11m11s] 19846 ab:aaa=a,bbbb=bab infinite b/a - - ab:bab=bbbb,aaa=a [11m11s] # 19847 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:54,nodes:12,pairs:0,completionMax:6us [11m11s] 19847 ab:aaa=a,bbbb=bbb infinite ab - - ab:aaa=a,bbbb=bbb [11m11s] # 19848 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:48,nodes:8,pairs:0,completionMax:3us [11m11s] 19848 ab:aaa=b,aaaa=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a3;saturation::;noncancellative:aaa,1,aaa,aaa;smith: a/b - - ab:aaaa=aaa,b=aaa [11m11s] from: 19848 ab:aaa=b,aaaa=aaa finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a3,b=a3;saturation::;noncancellative:aaa,1,aaa,aaa;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=b,b=bbb [11m11s] # 19849 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:103,nodes:10,pairs:0,completionMax:5us [11m11s] 19849 ab:aaa=b,aaaa=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aaa [11m11s] from: 19849 ab:aaa=b,aaaa=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bbb [11m11s] # 19850 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:2,work:102,nodes:10,pairs:0,completionMax:4us [11m11s] 19850 ab:aaa=b,aaaa=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aaa [11m11s] from: 19850 ab:aaa=b,aaaa=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a3;saturation::;noncancellative:aaa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bbb [11m11s] # 19851 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:77,nodes:14,pairs:0,completionMax:5us [11m11s] 19851 ab:aaa=b,aaaa=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19851 ab:aaa=b,aaaa=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19852 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:4,work:76,nodes:14,pairs:0,completionMax:5us [11m11s] 19852 ab:aaa=b,aaaa=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aaa [11m11s] from: 19852 ab:aaa=b,aaaa=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19853 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:84,nodes:18,pairs:0,completionMax:5us [11m11s] 19853 ab:aaa=b,aaaa=bbb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aaa [11m11s] from: 19853 ab:aaa=b,aaaa=bbb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bbb [11m11s] # 19854 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:40,nodes:12,pairs:0,completionMax:3us [11m11s] 19854 ab:aaa=b,aaab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaa [11m11s] from: 19854 ab:aaa=b,aaab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19855 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:187,nodes:12,pairs:0,completionMax:6us [11m11s] 19855 ab:aaa=b,aaab=aab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19855 ab:aaa=b,aaab=aab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19856 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:186,nodes:12,pairs:0,completionMax:5us [11m11s] 19856 ab:aaa=b,aaab=aba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19856 ab:aaa=b,aaab=aba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19857 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:305,nodes:14,pairs:0,completionMax:7us [11m11s] 19857 ab:aaa=b,aaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19857 ab:aaa=b,aaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19858 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:185,nodes:12,pairs:0,completionMax:4us [11m11s] 19858 ab:aaa=b,aaab=baa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19858 ab:aaa=b,aaab=baa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19859 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:304,nodes:14,pairs:0,completionMax:6us [11m11s] 19859 ab:aaa=b,aaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19859 ab:aaa=b,aaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19860 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:303,nodes:14,pairs:0,completionMax:6us [11m11s] 19860 ab:aaa=b,aaab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19860 ab:aaa=b,aaab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19861 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:178,nodes:18,pairs:0,completionMax:6us [11m11s] 19861 ab:aaa=b,aaab=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19861 ab:aaa=b,aaab=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19862 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:2,work:39,nodes:12,pairs:0,completionMax:6us [11m11s] 19862 ab:aaa=b,aaba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aaa [11m11s] from: 19862 ab:aaa=b,aaba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bbb [11m11s] # 19863 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:186,nodes:12,pairs:0,completionMax:5us [11m11s] 19863 ab:aaa=b,aaba=aab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19863 ab:aaa=b,aaba=aab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19864 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:185,nodes:12,pairs:0,completionMax:5us [11m11s] 19864 ab:aaa=b,aaba=aba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19864 ab:aaa=b,aaba=aba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19865 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:304,nodes:14,pairs:0,completionMax:7us [11m11s] 19865 ab:aaa=b,aaba=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19865 ab:aaa=b,aaba=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19866 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:184,nodes:12,pairs:0,completionMax:6us [11m11s] 19866 ab:aaa=b,aaba=baa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aaa [11m11s] from: 19866 ab:aaa=b,aaba=baa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a3;saturation::;noncancellative:aaa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bbb [11m11s] # 19867 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:303,nodes:14,pairs:0,completionMax:7us [11m11s] 19867 ab:aaa=b,aaba=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19867 ab:aaa=b,aaba=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19868 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:4,work:302,nodes:14,pairs:0,completionMax:9us [11m11s] 19868 ab:aaa=b,aaba=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aaa [11m11s] from: 19868 ab:aaa=b,aaba=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a3;saturation::;noncancellative:aaa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bbb [11m11s] # 19869 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:6,work:177,nodes:18,pairs:0,completionMax:8us [11m11s] 19869 ab:aaa=b,aaba=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aaa [11m11s] from: 19869 ab:aaa=b,aaba=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19870 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:57,nodes:16,pairs:0,completionMax:6us [11m11s] 19870 ab:aaa=b,aabb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 19870 ab:aaa=b,aabb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 19871 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:124,nodes:16,pairs:0,completionMax:6us [11m11s] 19871 ab:aaa=b,aabb=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19871 ab:aaa=b,aabb=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19872 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:123,nodes:16,pairs:0,completionMax:8us [11m11s] 19872 ab:aaa=b,aabb=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19872 ab:aaa=b,aabb=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19873 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:464,nodes:16,pairs:0,completionMax:11us [11m11s] 19873 ab:aaa=b,aabb=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19873 ab:aaa=b,aabb=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19874 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:122,nodes:16,pairs:0,completionMax:6us [11m11s] 19874 ab:aaa=b,aabb=baa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19874 ab:aaa=b,aabb=baa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19875 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:463,nodes:16,pairs:0,completionMax:8us [11m11s] 19875 ab:aaa=b,aabb=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19875 ab:aaa=b,aabb=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19876 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:462,nodes:16,pairs:0,completionMax:9us [11m11s] 19876 ab:aaa=b,aabb=bba finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19876 ab:aaa=b,aabb=bba finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19877 solved: rounds:0,rules:2,peak:2,longest:9,steps:8,word:6,work:669,nodes:18,pairs:0,completionMax:9us [11m11s] 19877 ab:aaa=b,aabb=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: a/b - - ab:aaaaaaaaa=aaaaaaaa,b=aaa [11m11s] from: 19877 ab:aaa=b,aabb=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: to: 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: a=b,b=bbb [11m11s] # 19878 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:56,nodes:16,pairs:0,completionMax:4us [11m11s] 19878 ab:aaa=b,abab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 19878 ab:aaa=b,abab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 19879 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:123,nodes:16,pairs:0,completionMax:4us [11m11s] 19879 ab:aaa=b,abab=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19879 ab:aaa=b,abab=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19880 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:122,nodes:16,pairs:0,completionMax:5us [11m11s] 19880 ab:aaa=b,abab=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19880 ab:aaa=b,abab=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19881 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:463,nodes:16,pairs:0,completionMax:10us [11m11s] 19881 ab:aaa=b,abab=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19881 ab:aaa=b,abab=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19882 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:121,nodes:16,pairs:0,completionMax:5us [11m11s] 19882 ab:aaa=b,abab=baa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19882 ab:aaa=b,abab=baa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19883 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:462,nodes:16,pairs:0,completionMax:7us [11m11s] 19883 ab:aaa=b,abab=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19883 ab:aaa=b,abab=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19884 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:461,nodes:16,pairs:0,completionMax:9us [11m11s] 19884 ab:aaa=b,abab=bba finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19884 ab:aaa=b,abab=bba finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19885 solved: rounds:0,rules:2,peak:2,longest:9,steps:8,word:6,work:668,nodes:18,pairs:0,completionMax:11us [11m11s] 19885 ab:aaa=b,abab=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: a/b - - ab:aaaaaaaaa=aaaaaaaa,b=aaa [11m11s] from: 19885 ab:aaa=b,abab=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: to: 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: a=b,b=bbb [11m11s] # 19886 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:55,nodes:16,pairs:0,completionMax:5us [11m11s] 19886 ab:aaa=b,abba=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 19886 ab:aaa=b,abba=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 19887 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:122,nodes:16,pairs:0,completionMax:7us [11m11s] 19887 ab:aaa=b,abba=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19887 ab:aaa=b,abba=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19888 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:121,nodes:16,pairs:0,completionMax:5us [11m11s] 19888 ab:aaa=b,abba=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19888 ab:aaa=b,abba=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19889 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:462,nodes:16,pairs:0,completionMax:7us [11m11s] 19889 ab:aaa=b,abba=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19889 ab:aaa=b,abba=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19890 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:461,nodes:16,pairs:0,completionMax:8us [11m11s] 19890 ab:aaa=b,abba=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19890 ab:aaa=b,abba=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19891 solved: rounds:0,rules:2,peak:2,longest:9,steps:8,word:6,work:667,nodes:18,pairs:0,completionMax:10us [11m11s] 19891 ab:aaa=b,abba=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: a/b - - ab:aaaaaaaaa=aaaaaaaa,b=aaa [11m11s] from: 19891 ab:aaa=b,abba=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: to: 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: a=b,b=bbb [11m11s] # 19892 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:75,nodes:20,pairs:0,completionMax:5us [11m11s] 19892 ab:aaa=b,abbb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 19892 ab:aaa=b,abbb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19893 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:118,nodes:20,pairs:0,completionMax:7us [11m11s] 19893 ab:aaa=b,abbb=aab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19893 ab:aaa=b,abbb=aab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19894 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:117,nodes:20,pairs:0,completionMax:7us [11m11s] 19894 ab:aaa=b,abbb=aba finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19894 ab:aaa=b,abbb=aba finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19895 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:262,nodes:20,pairs:0,completionMax:8us [11m11s] 19895 ab:aaa=b,abbb=abb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19895 ab:aaa=b,abbb=abb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19896 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:116,nodes:20,pairs:0,completionMax:7us [11m11s] 19896 ab:aaa=b,abbb=baa finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19896 ab:aaa=b,abbb=baa finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19897 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:261,nodes:20,pairs:0,completionMax:6us [11m11s] 19897 ab:aaa=b,abbb=bab finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19897 ab:aaa=b,abbb=bab finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19898 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:260,nodes:20,pairs:0,completionMax:6us [11m11s] 19898 ab:aaa=b,abbb=bba finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19898 ab:aaa=b,abbb=bba finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19899 solved: rounds:0,rules:2,peak:2,longest:10,steps:9,word:6,work:927,nodes:20,pairs:0,completionMax:16us [11m11s] 19899 ab:aaa=b,abbb=bbb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a9,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith: a/b - - ab:aaaaaaaaaa=aaaaaaaaa,b=aaa [11m11s] # 19900 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:55,nodes:16,pairs:0,completionMax:7us [11m11s] 19900 ab:aaa=b,baab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aaa [11m11s] from: 19900 ab:aaa=b,baab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aaa [11m11s] # 19901 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:122,nodes:16,pairs:0,completionMax:8us [11m11s] 19901 ab:aaa=b,baab=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19901 ab:aaa=b,baab=aab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19902 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:4,work:121,nodes:16,pairs:0,completionMax:7us [11m11s] 19902 ab:aaa=b,baab=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aaa [11m11s] from: 19902 ab:aaa=b,baab=aba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaa,aaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bbb [11m11s] # 19903 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:462,nodes:16,pairs:0,completionMax:11us [11m11s] 19903 ab:aaa=b,baab=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19903 ab:aaa=b,baab=abb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19904 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:461,nodes:16,pairs:0,completionMax:10us [11m11s] 19904 ab:aaa=b,baab=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19904 ab:aaa=b,baab=bab finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a3;saturation::;noncancellative:aaa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bbb [11m11s] # 19905 solved: rounds:0,rules:2,peak:2,longest:9,steps:8,word:6,work:667,nodes:18,pairs:0,completionMax:12us [11m11s] 19905 ab:aaa=b,baab=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: a/b - - ab:aaaaaaaaa=aaaaaaaa,b=aaa [11m11s] from: 19905 ab:aaa=b,baab=bbb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a8,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith: to: 5124 ab:aab=aa,bbbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b8,a=b4;saturation::;noncancellative:b,1,bbbbbbbb,bbbbbbbb;smith: a=b,b=bbb [11m11s] # 19906 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:74,nodes:20,pairs:0,completionMax:7us [11m11s] 19906 ab:aaa=b,babb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aaa [11m11s] from: 19906 ab:aaa=b,babb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aaa [11m11s] # 19907 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:117,nodes:20,pairs:0,completionMax:8us [11m11s] 19907 ab:aaa=b,babb=aab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19907 ab:aaa=b,babb=aab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19908 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:116,nodes:20,pairs:0,completionMax:7us [11m11s] 19908 ab:aaa=b,babb=aba finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19908 ab:aaa=b,babb=aba finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19909 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:261,nodes:20,pairs:0,completionMax:7us [11m11s] 19909 ab:aaa=b,babb=abb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19909 ab:aaa=b,babb=abb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19910 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:115,nodes:20,pairs:0,completionMax:6us [11m11s] 19910 ab:aaa=b,babb=baa finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19910 ab:aaa=b,babb=baa finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaa,aaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bbb [11m11s] # 19911 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:260,nodes:20,pairs:0,completionMax:9us [11m11s] 19911 ab:aaa=b,babb=bab finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19911 ab:aaa=b,babb=bab finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19912 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:6,work:259,nodes:20,pairs:0,completionMax:7us [11m11s] 19912 ab:aaa=b,babb=bba finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19912 ab:aaa=b,babb=bba finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaa,aaaaaaaa;smith:3 to: 15738 ab:aab=bb,aaaaa=b finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a7,b=a5;saturation:a:a3=1;noncancellative:aaaaaaa,a,aaaaaa,aaaaaaa;smith:3 a=a,b=aaa [11m11s] # 19913 solved: rounds:0,rules:2,peak:2,longest:10,steps:9,word:6,work:926,nodes:20,pairs:0,completionMax:15us [11m11s] 19913 ab:aaa=b,babb=bbb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a9,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith: a/b - - ab:aaaaaaaaaa=aaaaaaaaa,b=aaa [11m11s] from: 19913 ab:aaa=b,babb=bbb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a9,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith: to: 19899 ab:aaa=b,abbb=bbb finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a9,b=a3;saturation::;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith: a=a,b=aaa [11m11s] # 19914 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:94,nodes:24,pairs:0,completionMax:10us [11m11s] 19914 ab:aaa=b,bbbb=aaa finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aaa [11m11s] from: 19914 ab:aaa=b,bbbb=aaa finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aaa [11m11s] # 19915 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:145,nodes:24,pairs:0,completionMax:9us [11m11s] 19915 ab:aaa=b,bbbb=aab finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19915 ab:aaa=b,bbbb=aab finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=b,b=bbb [11m11s] # 19916 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:144,nodes:24,pairs:0,completionMax:11us [11m11s] 19916 ab:aaa=b,bbbb=aba finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a/b - - ab:aaaaaaaaaaaa=aaaaa,b=aaa [11m11s] from: 19916 ab:aaa=b,bbbb=aba finite:12;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a5,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 to: 5072 ab:aaa=ab,bbbb=a finite:12;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b5,a=b4;saturation:a:a7=1;noncancellative:bbbbbbbb,b,bbbbb,bbbbbb;smith:7 a=b,b=bbb [11m11s] # 19917 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:245,nodes:24,pairs:0,completionMax:9us [11m11s] 19917 ab:aaa=b,bbbb=abb finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a7,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaaa=aaaaaaa,b=aaa [11m11s] # 19918 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:244,nodes:24,pairs:0,completionMax:10us [11m11s] 19918 ab:aaa=b,bbbb=bab finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a7,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a/b - - ab:aaaaaaaaaaaa=aaaaaaa,b=aaa [11m11s] from: 19918 ab:aaa=b,bbbb=bab finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a7,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 to: 19917 ab:aaa=b,bbbb=abb finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a7,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a=a,b=aaa [11m11s] # 19919 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:8,work:466,nodes:24,pairs:0,completionMax:10us [11m11s] 19919 ab:aaa=b,bbbb=bbb finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a9,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith:3 a/b - - ab:aaaaaaaaaaaa=aaaaaaaaa,b=aaa [11m11s] from: 19919 ab:aaa=b,bbbb=bbb finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a9,b=a3;saturation:a:a3=1;noncancellative:aaa,1,aaaaaaaaa,aaaaaaaaa;smith:3 to: 12910 ab:aab=aaa,bbbb=a finite:12;idempotents:1,bbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b9,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbbbbbbb,bbbbbbbbbbb;smith:3 a=b,b=bbb [11m11s] # 19920 solved: rounds:3,rules:2,peak:3,longest:4,steps:3,word:0,work:188,nodes:8,pairs:6,completionMax:17us [11m11s] 19920 ab:aab=a,aaaa=aaa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19920 ab:aab=a,aaaa=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19921 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:28,nodes:8,pairs:1,completionMax:5us [11m11s] 19921 ab:aab=a,aaaa=aab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19921 ab:aab=a,aaaa=aab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19922 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:1,work:172,nodes:12,pairs:4,completionMax:21us [11m11s] 19922 ab:aab=a,aaaa=aba infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19922 ab:aab=a,aaaa=aba infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19923 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:3,work:26,nodes:12,pairs:2,completionMax:9us [11m11s] 19923 ab:aab=a,aaaa=abb infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 19923 ab:aab=a,aaaa=abb infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 19924 solved: rounds:4,rules:3,peak:4,longest:6,steps:2,word:1,work:293,nodes:16,pairs:6,completionMax:34us [11m11s] 19924 ab:aab=a,aaaa=baa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19924 ab:aab=a,aaaa=baa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19925 solved: rounds:2,rules:3,peak:6,longest:6,steps:3,word:3,work:260,nodes:22,pairs:8,completionMax:37us [11m11s] 19925 ab:aab=a,aaaa=bab infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] from: 19925 ab:aab=a,aaaa=bab infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=b [11m11s] # 19926 solved: rounds:4,rules:3,peak:5,longest:7,steps:2,word:3,work:297,nodes:20,pairs:6,completionMax:55us [11m11s] 19926 ab:aab=a,aaaa=bba infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bba=aaaa [11m11s] from: 19926 ab:aab=a,aaaa=bba infinite to: 18942 ab:aab=a,bbabbb=a infinite a=a,b=b [11m11s] # 19927 solved: rounds:2,rules:2,peak:9,longest:10,steps:11,word:10,work:1513,nodes:30,pairs:24,completionMax:91us [11m11s] 19927 ab:aab=a,aaaa=bbb finite:10;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b3,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbbb=bbb,a=bbbbbb [11m11s] from: 19927 ab:aab=a,aaaa=bbb finite:10;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b3,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=aaaaaa,b=a [11m11s] # 19928 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:68,nodes:6,pairs:4,completionMax:10us [11m11s] 19928 ab:aab=a,aaab=aaa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19928 ab:aab=a,aaab=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19929 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:21,nodes:6,pairs:2,completionMax:10us [11m11s] 19929 ab:aab=a,aaab=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19929 ab:aab=a,aaab=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19930 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:125,nodes:8,pairs:6,completionMax:31us [11m11s] 19930 ab:aab=a,aaab=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19930 ab:aab=a,aaab=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19931 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:22,nodes:8,pairs:2,completionMax:15us [11m11s] 19931 ab:aab=a,aaab=abb infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19931 ab:aab=a,aaab=abb infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19932 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:253,nodes:12,pairs:9,completionMax:24us [11m11s] 19932 ab:aab=a,aaab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19932 ab:aab=a,aaab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19933 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:168,nodes:14,pairs:6,completionMax:19us [11m11s] 19933 ab:aab=a,aaab=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19933 ab:aab=a,aaab=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19934 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:223,nodes:16,pairs:6,completionMax:26us [11m11s] 19934 ab:aab=a,aaab=bba infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19934 ab:aab=a,aaab=bba infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19935 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:3,work:85,nodes:18,pairs:3,completionMax:16us [11m11s] 19935 ab:aab=a,aaab=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbb=bbb,a=bbbb [11m11s] from: 19935 ab:aab=a,aaab=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=aaaa,b=a [11m11s] # 19936 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:67,nodes:6,pairs:4,completionMax:12us [11m11s] 19936 ab:aab=a,aaba=aaa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19936 ab:aab=a,aaba=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19937 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:20,nodes:6,pairs:2,completionMax:5us [11m11s] 19937 ab:aab=a,aaba=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19937 ab:aab=a,aaba=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19938 solved: rounds:3,rules:2,peak:4,longest:3,steps:2,word:0,work:124,nodes:8,pairs:6,completionMax:19us [11m11s] 19938 ab:aab=a,aaba=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19938 ab:aab=a,aaba=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19939 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:21,nodes:8,pairs:2,completionMax:7us [11m11s] 19939 ab:aab=a,aaba=abb infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19939 ab:aab=a,aaba=abb infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19940 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:252,nodes:12,pairs:9,completionMax:26us [11m11s] 19940 ab:aab=a,aaba=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19940 ab:aab=a,aaba=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19941 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:1,work:167,nodes:14,pairs:6,completionMax:19us [11m11s] 19941 ab:aab=a,aaba=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19941 ab:aab=a,aaba=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19942 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:222,nodes:16,pairs:6,completionMax:37us [11m11s] 19942 ab:aab=a,aaba=bba infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19942 ab:aab=a,aaba=bba infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19943 solved: rounds:1,rules:2,peak:3,longest:8,steps:2,word:3,work:84,nodes:18,pairs:3,completionMax:14us [11m11s] 19943 ab:aab=a,aaba=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbb=bbb,a=bbbb [11m11s] from: 19943 ab:aab=a,aaba=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=aaaa,b=a [11m11s] # 19944 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:17,nodes:8,pairs:1,completionMax:5us [11m11s] 19944 ab:aab=a,aabb=aaa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19944 ab:aab=a,aabb=aaa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19945 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m11s] 19945 ab:aab=a,aabb=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19945 ab:aab=a,aabb=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19946 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:82,nodes:8,pairs:5,completionMax:18us [11m11s] 19946 ab:aab=a,aabb=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19946 ab:aab=a,aabb=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19947 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:2,completionMax:6us [11m11s] 19947 ab:aab=a,aabb=abb infinite ab - - ab:aa=a,ab=a [11m11s] from: 19947 ab:aab=a,aabb=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19948 solved: rounds:2,rules:3,peak:8,longest:4,steps:3,word:0,work:329,nodes:14,pairs:13,completionMax:32us [11m11s] 19948 ab:aab=a,aabb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19948 ab:aab=a,aabb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19949 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:68,nodes:10,pairs:5,completionMax:9us [11m11s] 19949 ab:aab=a,aabb=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19949 ab:aab=a,aabb=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19950 solved: rounds:2,rules:3,peak:4,longest:3,steps:2,word:0,work:73,nodes:12,pairs:6,completionMax:10us [11m11s] 19950 ab:aab=a,aabb=bba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19950 ab:aab=a,aabb=bba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19951 solved: rounds:2,rules:2,peak:2,longest:6,steps:1,word:1,work:41,nodes:12,pairs:2,completionMax:9us [11m11s] 19951 ab:aab=a,aabb=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbbbb [11m11s] from: 19951 ab:aab=a,aabb=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbbbb,b=b [11m11s] # 19952 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:387,nodes:12,pairs:11,completionMax:45us [11m11s] 19952 ab:aab=a,abaa=aaa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19952 ab:aab=a,abaa=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19953 solved: rounds:2,rules:2,peak:5,longest:4,steps:4,word:0,work:233,nodes:10,pairs:13,completionMax:35us [11m11s] 19953 ab:aab=a,abaa=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19953 ab:aab=a,abaa=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19954 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:235,nodes:10,pairs:9,completionMax:35us [11m11s] 19954 ab:aab=a,abaa=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19954 ab:aab=a,abaa=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19955 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:27,nodes:8,pairs:3,completionMax:10us [11m11s] 19955 ab:aab=a,abaa=abb infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19955 ab:aab=a,abaa=abb infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19956 solved: rounds:5,rules:3,peak:5,longest:4,steps:3,word:0,work:504,nodes:14,pairs:21,completionMax:57us [11m11s] 19956 ab:aab=a,abaa=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19956 ab:aab=a,abaa=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19957 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:1,work:294,nodes:16,pairs:9,completionMax:25us [11m11s] 19957 ab:aab=a,abaa=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19957 ab:aab=a,abaa=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19958 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:2,work:246,nodes:16,pairs:6,completionMax:40us [11m11s] 19958 ab:aab=a,abaa=bba infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 19958 ab:aab=a,abaa=bba infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 19959 solved: rounds:3,rules:2,peak:12,longest:10,steps:3,word:6,work:2720,nodes:34,pairs:27,completionMax:183us [11m11s] 19959 ab:aab=a,abaa=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbb=bbb,a=bbbb [11m11s] from: 19959 ab:aab=a,abaa=bbb finite:8;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b3,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=aaaa,b=a [11m11s] # 19960 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:1,work:183,nodes:14,pairs:7,completionMax:20us [11m11s] 19960 ab:aab=a,abab=aaa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19960 ab:aab=a,abab=aaa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19961 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:80,nodes:10,pairs:8,completionMax:12us [11m11s] 19961 ab:aab=a,abab=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19961 ab:aab=a,abab=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19962 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:51,nodes:10,pairs:4,completionMax:12us [11m11s] 19962 ab:aab=a,abab=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19962 ab:aab=a,abab=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19963 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:42,nodes:10,pairs:4,completionMax:8us [11m11s] 19963 ab:aab=a,abab=abb infinite ab - - ab:aa=a,ab=a [11m11s] from: 19963 ab:aab=a,abab=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19964 solved: rounds:3,rules:3,peak:8,longest:5,steps:4,word:0,work:956,nodes:18,pairs:46,completionMax:117us [11m11s] 19964 ab:aab=a,abab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19964 ab:aab=a,abab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19965 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:181,nodes:14,pairs:17,completionMax:31us [11m11s] 19965 ab:aab=a,abab=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19965 ab:aab=a,abab=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19966 solved: rounds:5,rules:3,peak:9,longest:7,steps:5,word:0,work:1376,nodes:24,pairs:47,completionMax:114us [11m11s] 19966 ab:aab=a,abab=bba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19966 ab:aab=a,abab=bba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19967 solved: rounds:4,rules:2,peak:9,longest:6,steps:3,word:4,work:964,nodes:26,pairs:31,completionMax:81us [11m11s] 19967 ab:aab=a,abab=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbbbb [11m11s] from: 19967 ab:aab=a,abab=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbbbb,b=b [11m11s] # 19968 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:287,nodes:14,pairs:5,completionMax:30us [11m11s] 19968 ab:aab=a,abba=aaa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19968 ab:aab=a,abba=aaa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19969 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:195,nodes:10,pairs:7,completionMax:39us [11m11s] 19969 ab:aab=a,abba=aab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19969 ab:aab=a,abba=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19970 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:219,nodes:10,pairs:9,completionMax:46us [11m11s] 19970 ab:aab=a,abba=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 19970 ab:aab=a,abba=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19971 solved: rounds:3,rules:2,peak:6,longest:4,steps:3,word:0,work:237,nodes:10,pairs:8,completionMax:31us [11m11s] 19971 ab:aab=a,abba=abb infinite ab - - ab:aa=a,ab=a [11m11s] from: 19971 ab:aab=a,abba=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19972 solved: rounds:4,rules:3,peak:9,longest:6,steps:5,word:0,work:1553,nodes:20,pairs:39,completionMax:109us [11m11s] 19972 ab:aab=a,abba=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19972 ab:aab=a,abba=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19973 solved: rounds:4,rules:3,peak:7,longest:6,steps:10,word:0,work:1216,nodes:22,pairs:29,completionMax:75us [11m11s] 19973 ab:aab=a,abba=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19973 ab:aab=a,abba=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19974 solved: rounds:4,rules:3,peak:5,longest:4,steps:3,word:0,work:252,nodes:14,pairs:9,completionMax:30us [11m11s] 19974 ab:aab=a,abba=bba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19974 ab:aab=a,abba=bba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19975 solved: rounds:3,rules:2,peak:9,longest:8,steps:4,word:4,work:1478,nodes:26,pairs:19,completionMax:107us [11m11s] 19975 ab:aab=a,abba=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbbbb [11m11s] from: 19975 ab:aab=a,abba=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbb,bbbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbbbb,b=b [11m11s] # 19976 solved: rounds:3,rules:2,peak:3,longest:6,steps:1,word:3,work:31,nodes:12,pairs:3,completionMax:14us [11m11s] 19976 ab:aab=a,abbb=aaa infinite a/b - - ab:aaaaaa=a,ab=aaaaa [11m11s] from: 19976 ab:aab=a,abbb=aaa infinite to: 18832 ab:aab=a,aaaaaa=a infinite a=a,b=b [11m11s] # 19977 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:1,work:24,nodes:10,pairs:3,completionMax:11us [11m11s] 19977 ab:aab=a,abbb=aab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19977 ab:aab=a,abbb=aab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19978 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:49,nodes:10,pairs:3,completionMax:17us [11m11s] 19978 ab:aab=a,abbb=aba infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19978 ab:aab=a,abbb=aba infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19979 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:24,nodes:10,pairs:3,completionMax:8us [11m11s] 19979 ab:aab=a,abbb=abb infinite ab - - ab:aa=a,ab=a [11m11s] from: 19979 ab:aab=a,abbb=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19980 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:1,work:134,nodes:12,pairs:9,completionMax:19us [11m11s] 19980 ab:aab=a,abbb=baa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19980 ab:aab=a,abbb=baa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19981 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:118,nodes:14,pairs:8,completionMax:22us [11m11s] 19981 ab:aab=a,abbb=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19981 ab:aab=a,abbb=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19982 solved: rounds:3,rules:3,peak:6,longest:4,steps:5,word:0,work:372,nodes:14,pairs:9,completionMax:35us [11m11s] 19982 ab:aab=a,abbb=bba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 19982 ab:aab=a,abbb=bba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 19983 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:1,work:164,nodes:14,pairs:4,completionMax:17us [11m11s] 19983 ab:aab=a,abbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [11m11s] from: 19983 ab:aab=a,abbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [11m11s] # 19984 solved: rounds:5,rules:3,peak:5,longest:5,steps:4,word:0,work:612,nodes:16,pairs:13,completionMax:50us [11m11s] 19984 ab:aab=a,baaa=aaa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19984 ab:aab=a,baaa=aaa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19985 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:396,nodes:14,pairs:25,completionMax:50us [11m11s] 19985 ab:aab=a,baaa=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19985 ab:aab=a,baaa=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19986 solved: rounds:3,rules:3,peak:9,longest:4,steps:4,word:0,work:804,nodes:20,pairs:38,completionMax:83us [11m11s] 19986 ab:aab=a,baaa=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19986 ab:aab=a,baaa=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19987 solved: rounds:3,rules:3,peak:6,longest:5,steps:4,word:2,work:425,nodes:14,pairs:19,completionMax:54us [11m11s] 19987 ab:aab=a,baaa=abb infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19987 ab:aab=a,baaa=abb infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19988 solved: rounds:4,rules:2,peak:5,longest:4,steps:4,word:0,work:370,nodes:14,pairs:13,completionMax:42us [11m11s] 19988 ab:aab=a,baaa=baa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19988 ab:aab=a,baaa=baa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19989 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:57,nodes:12,pairs:3,completionMax:19us [11m11s] 19989 ab:aab=a,baaa=bab infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 19989 ab:aab=a,baaa=bab infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 19990 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:238,nodes:16,pairs:6,completionMax:38us [11m11s] 19990 ab:aab=a,baaa=bba infinite a/b - - ab:aaaa=a,ab=aaa,bba=baaa [11m11s] from: 19990 ab:aab=a,baaa=bba infinite to: 19486 ab:aab=a,bbabb=ba infinite a=a,b=b [11m11s] # 19991 solved: rounds:2,rules:4,peak:8,longest:8,steps:6,word:6,work:912,nodes:34,pairs:18,completionMax:98us [11m11s] 19991 ab:aab=a,baaa=bbb finite:13;idempotents:1,ab,bbbbb b/a - - ab:bbbbbbbb=bbb,abbbbb=a,ba=bbbbb,aa=abbbb [11m11s] # 19992 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:131,nodes:12,pairs:3,completionMax:24us [11m11s] 19992 ab:aab=a,baab=aaa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 19992 ab:aab=a,baab=aaa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 19993 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:93,nodes:8,pairs:5,completionMax:15us [11m11s] 19993 ab:aab=a,baab=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19993 ab:aab=a,baab=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19994 solved: rounds:4,rules:3,peak:4,longest:3,steps:3,word:0,work:147,nodes:10,pairs:9,completionMax:17us [11m11s] 19994 ab:aab=a,baab=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19994 ab:aab=a,baab=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19995 solved: rounds:3,rules:3,peak:5,longest:3,steps:3,word:0,work:153,nodes:10,pairs:8,completionMax:23us [11m11s] 19995 ab:aab=a,baab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 19995 ab:aab=a,baab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 19996 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:144,nodes:10,pairs:8,completionMax:19us [11m11s] 19996 ab:aab=a,baab=baa infinite ab - - ab:aa=a,ab=a [11m11s] from: 19996 ab:aab=a,baab=baa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19997 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:42,nodes:10,pairs:4,completionMax:9us [11m11s] 19997 ab:aab=a,baab=bab infinite ab - - ab:aa=a,ab=a [11m11s] from: 19997 ab:aab=a,baab=bab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 19998 solved: rounds:4,rules:3,peak:5,longest:3,steps:2,word:0,work:169,nodes:12,pairs:7,completionMax:24us [11m11s] 19998 ab:aab=a,baab=bba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 19998 ab:aab=a,baab=bba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 19999 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:1,work:127,nodes:18,pairs:4,completionMax:23us [11m11s] 19999 ab:aab=a,baab=bbb finite:9;idempotents:1,ab,bbb b/a - - ab:bbbbbb=bbb,abbb=a,ba=bbb,aa=abb [11m11s] from: 19999 ab:aab=a,baab=bbb finite:9;idempotents:1,ab,bbb to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa a=b,b=a [11m11s] # 20000 solved: rounds:3,rules:3,peak:6,longest:5,steps:3,word:1,work:351,nodes:20,pairs:10,completionMax:56us [11m11s] 20000 ab:aab=a,baba=aaa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 20000 ab:aab=a,baba=aaa infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 20001 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:0,work:327,nodes:14,pairs:23,completionMax:51us [11m11s] 20001 ab:aab=a,baba=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20001 ab:aab=a,baba=aab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20002 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:232,nodes:12,pairs:9,completionMax:39us [11m11s] 20002 ab:aab=a,baba=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20002 ab:aab=a,baba=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20003 solved: rounds:2,rules:3,peak:6,longest:5,steps:6,word:0,work:452,nodes:20,pairs:20,completionMax:56us [11m11s] 20003 ab:aab=a,baba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20003 ab:aab=a,baba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20004 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:137,nodes:12,pairs:6,completionMax:20us [11m11s] 20004 ab:aab=a,baba=baa infinite ab - - ab:aa=a,ab=a [11m11s] from: 20004 ab:aab=a,baba=baa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20005 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:172,nodes:12,pairs:6,completionMax:14us [11m11s] 20005 ab:aab=a,baba=bab infinite ab - - ab:aa=a,ab=a [11m11s] from: 20005 ab:aab=a,baba=bab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20006 solved: rounds:4,rules:3,peak:5,longest:5,steps:8,word:0,work:619,nodes:18,pairs:18,completionMax:52us [11m11s] 20006 ab:aab=a,baba=bba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 20006 ab:aab=a,baba=bba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 20007 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:1,work:900,nodes:22,pairs:31,completionMax:102us [11m11s] 20007 ab:aab=a,baba=bbb finite:9;idempotents:1,ab,bbb b/a - - ab:bbbbbb=bbb,abbb=a,ba=bbb,aa=abb [11m11s] from: 20007 ab:aab=a,baba=bbb finite:9;idempotents:1,ab,bbb to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa a=b,b=a [11m11s] # 20008 solved: rounds:3,rules:3,peak:4,longest:9,steps:2,word:3,work:335,nodes:28,pairs:15,completionMax:46us [11m11s] 20008 ab:aab=a,babb=aaa infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] from: 20008 ab:aab=a,babb=aaa infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=b [11m11s] # 20009 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:163,nodes:16,pairs:9,completionMax:34us [11m11s] 20009 ab:aab=a,babb=aab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 20009 ab:aab=a,babb=aab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 20010 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:199,nodes:16,pairs:11,completionMax:32us [11m11s] 20010 ab:aab=a,babb=aba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 20010 ab:aab=a,babb=aba infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 20011 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:89,nodes:12,pairs:5,completionMax:14us [11m11s] 20011 ab:aab=a,babb=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20011 ab:aab=a,babb=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20012 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:113,nodes:16,pairs:6,completionMax:21us [11m11s] 20012 ab:aab=a,babb=baa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 20012 ab:aab=a,babb=baa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 20013 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:12,pairs:3,completionMax:9us [11m11s] 20013 ab:aab=a,babb=bab infinite ab - - ab:aa=a,ab=a [11m11s] from: 20013 ab:aab=a,babb=bab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20014 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:186,nodes:14,pairs:9,completionMax:25us [11m11s] 20014 ab:aab=a,babb=bba infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 20014 ab:aab=a,babb=bba infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 20015 solved: rounds:3,rules:4,peak:4,longest:4,steps:4,word:1,work:210,nodes:14,pairs:10,completionMax:30us [11m11s] 20015 ab:aab=a,babb=bbb finite:5;idempotents:1,a,bbb b/a - - ab:bbbb=bbb,ab=a,ba=bbb,aa=a [11m11s] from: 20015 ab:aab=a,babb=bbb finite:5;idempotents:1,a,bbb to: 1022 ab:ab=a,bbb=ba finite:5;idempotents:1,a,bbb a=a,b=b [11m11s] # 20016 solved: rounds:5,rules:3,peak:5,longest:6,steps:2,word:1,work:555,nodes:20,pairs:13,completionMax:65us [11m11s] 20016 ab:aab=a,bbaa=aaa infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 20016 ab:aab=a,bbaa=aaa infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 20017 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:321,nodes:16,pairs:17,completionMax:44us [11m11s] 20017 ab:aab=a,bbaa=aab infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 20017 ab:aab=a,bbaa=aab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 20018 solved: rounds:5,rules:3,peak:8,longest:5,steps:3,word:0,work:1089,nodes:22,pairs:37,completionMax:95us [11m11s] 20018 ab:aab=a,bbaa=aba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 20018 ab:aab=a,bbaa=aba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 20019 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:0,work:893,nodes:20,pairs:29,completionMax:80us [11m11s] 20019 ab:aab=a,bbaa=abb infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 20019 ab:aab=a,bbaa=abb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 20020 solved: rounds:5,rules:3,peak:5,longest:4,steps:3,word:0,work:478,nodes:16,pairs:15,completionMax:68us [11m11s] 20020 ab:aab=a,bbaa=baa infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 20020 ab:aab=a,bbaa=baa infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 20021 solved: rounds:3,rules:3,peak:10,longest:5,steps:4,word:0,work:1023,nodes:22,pairs:29,completionMax:98us [11m11s] 20021 ab:aab=a,bbaa=bab infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 20021 ab:aab=a,bbaa=bab infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 20022 solved: rounds:4,rules:2,peak:7,longest:4,steps:3,word:0,work:477,nodes:16,pairs:13,completionMax:45us [11m11s] 20022 ab:aab=a,bbaa=bba infinite ab - - ab:aa=a,ab=a [11m11s] from: 20022 ab:aab=a,bbaa=bba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20023 solved: rounds:3,rules:3,peak:8,longest:7,steps:3,word:1,work:983,nodes:26,pairs:20,completionMax:84us [11m11s] 20023 ab:aab=a,bbaa=bbb finite:12;idempotents:1,ba,aaa,bbaa a/b - - ab:aaaa=a,ab=aaa,bbb=bbaa [11m11s] # 20024 solved: rounds:3,rules:3,peak:8,longest:6,steps:3,word:3,work:612,nodes:28,pairs:21,completionMax:69us [11m11s] 20024 ab:aab=a,bbab=aaa infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bba=aaaa [11m11s] from: 20024 ab:aab=a,bbab=aaa infinite to: 18942 ab:aab=a,bbabbb=a infinite a=a,b=b [11m11s] # 20025 solved: rounds:3,rules:3,peak:7,longest:4,steps:3,word:1,work:352,nodes:18,pairs:16,completionMax:42us [11m11s] 20025 ab:aab=a,bbab=aab infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 20025 ab:aab=a,bbab=aab infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 20026 solved: rounds:3,rules:3,peak:7,longest:4,steps:2,word:1,work:307,nodes:18,pairs:14,completionMax:51us [11m11s] 20026 ab:aab=a,bbab=aba infinite a/b - - ab:aaaa=a,ab=aaa,bba=aa [11m11s] from: 20026 ab:aab=a,bbab=aba infinite to: 1655 ab:aab=bb,bba=b infinite a=b,b=a [11m11s] # 20027 solved: rounds:2,rules:3,peak:7,longest:4,steps:3,word:0,work:227,nodes:16,pairs:8,completionMax:23us [11m11s] 20027 ab:aab=a,bbab=abb infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 20027 ab:aab=a,bbab=abb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 20028 solved: rounds:3,rules:3,peak:8,longest:5,steps:3,word:1,work:703,nodes:28,pairs:20,completionMax:63us [11m11s] 20028 ab:aab=a,bbab=baa infinite a/b - - ab:aaaa=a,ab=aaa,bba=baaa [11m11s] from: 20028 ab:aab=a,bbab=baa infinite to: 19486 ab:aab=a,bbabb=ba infinite a=a,b=b [11m11s] # 20029 solved: rounds:3,rules:3,peak:6,longest:4,steps:2,word:0,work:195,nodes:16,pairs:12,completionMax:32us [11m11s] 20029 ab:aab=a,bbab=bab infinite ab - - ab:aa=a,ab=a,bba=ba [11m11s] from: 20029 ab:aab=a,bbab=bab infinite to: 12461 ab:aabb=ab,baaa=a infinite anti:a=a,b=b [11m11s] # 20030 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:0,work:223,nodes:16,pairs:9,completionMax:28us [11m11s] 20030 ab:aab=a,bbab=bba infinite ab - - ab:aa=a,ab=a [11m11s] from: 20030 ab:aab=a,bbab=bba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20031 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:120,nodes:16,pairs:5,completionMax:19us [11m11s] 20031 ab:aab=a,bbab=bbb finite:6;idempotents:1,a,ba,bba ab - - ab:aa=a,ab=a,bbb=bba [11m11s] from: 20031 ab:aab=a,bbab=bbb finite:6;idempotents:1,a,ba,bba to: 3199 ab:ab=a,bbb=bba finite:6;idempotents:1,a,ba,bba a=a,b=b [11m11s] # 20032 solved: rounds:4,rules:3,peak:6,longest:7,steps:3,word:3,work:473,nodes:24,pairs:7,completionMax:54us [11m11s] 20032 ab:aab=a,bbba=aaa infinite a/b - - ab:aaaaaa=a,ab=aaaaa,bbba=aaa [11m11s] from: 20032 ab:aab=a,bbba=aaa infinite to: 18950 ab:aab=a,bbbabb=a infinite a=a,b=b [11m11s] # 20033 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:1,work:342,nodes:20,pairs:6,completionMax:43us [11m11s] 20033 ab:aab=a,bbba=aab infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 20033 ab:aab=a,bbba=aab infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 20034 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:1,work:375,nodes:20,pairs:6,completionMax:47us [11m11s] 20034 ab:aab=a,bbba=aba infinite a/b - - ab:aaaa=a,ab=aaa,bbba=a [11m11s] from: 20034 ab:aab=a,bbba=aba infinite to: 2048 ab:aab=a,bbba=a infinite a=a,b=b [11m11s] # 20035 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:160,nodes:16,pairs:10,completionMax:29us [11m11s] 20035 ab:aab=a,bbba=abb infinite ab - - ab:aa=a,ab=a,bbba=a [11m11s] from: 20035 ab:aab=a,bbba=abb infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m11s] # 20036 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:1,work:370,nodes:20,pairs:7,completionMax:41us [11m11s] 20036 ab:aab=a,bbba=baa infinite a/b - - ab:aaaa=a,ab=aaa,bbba=baa [11m11s] from: 20036 ab:aab=a,bbba=baa infinite to: 19494 ab:aab=a,bbbab=ba infinite a=a,b=b [11m11s] # 20037 solved: rounds:3,rules:3,peak:7,longest:5,steps:3,word:0,work:395,nodes:22,pairs:18,completionMax:48us [11m11s] 20037 ab:aab=a,bbba=bab infinite ab - - ab:aa=a,ab=a,bbba=ba [11m11s] from: 20037 ab:aab=a,bbba=bab infinite to: 19490 ab:aab=a,bbbaa=ba infinite a=a,b=b [11m11s] # 20038 solved: rounds:5,rules:3,peak:6,longest:4,steps:3,word:0,work:287,nodes:16,pairs:10,completionMax:38us [11m11s] 20038 ab:aab=a,bbba=bba infinite ab - - ab:aa=a,ab=a,bbba=bba [11m11s] # 20039 solved: rounds:4,rules:4,peak:8,longest:4,steps:3,word:0,work:622,nodes:16,pairs:10,completionMax:52us [11m11s] 20039 ab:aab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb ab - - ab:aa=a,ab=a,bbba=bbb,bbbb=bbb [11m11s] from: 20039 ab:aab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb to: 9375 ab:ab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb a=a,b=b [11m11s] # 20040 solved: rounds:2,rules:2,peak:6,longest:11,steps:3,word:10,work:800,nodes:28,pairs:20,completionMax:79us [11m11s] 20040 ab:aab=a,bbbb=aaa finite:11;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b4,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbb=bbbb,a=bbbbbb [11m11s] from: 20040 ab:aab=a,bbbb=aaa finite:11;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:b11=b4,a=b6;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbb,bbbbbbb;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=aaaaaa,b=a [11m11s] # 20041 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:3,work:92,nodes:18,pairs:2,completionMax:12us [11m11s] 20041 ab:aab=a,bbbb=aab finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbbb [11m11s] from: 20041 ab:aab=a,bbbb=aab finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=bbbb,b=b [11m11s] # 20042 solved: rounds:3,rules:2,peak:8,longest:13,steps:3,word:6,work:2291,nodes:38,pairs:18,completionMax:102us [11m11s] 20042 ab:aab=a,bbbb=aba finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbbb [11m11s] from: 20042 ab:aab=a,bbbb=aba finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=bbbb,b=b [11m11s] # 20043 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:4,work:111,nodes:16,pairs:3,completionMax:10us [11m11s] 20043 ab:aab=a,bbbb=abb finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbbbbb,bbbbb;smith:3 b/a - - ab:bbbbbbb=bbbb,a=bbbbb [11m11s] from: 20043 ab:aab=a,bbbb=abb finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b5;saturation:a:a3=1;noncancellative:bb,bbbbb,bbbbbb,bbbbb;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbbbb,b=b [11m11s] # 20044 solved: rounds:3,rules:4,peak:6,longest:9,steps:4,word:6,work:633,nodes:32,pairs:10,completionMax:40us [11m11s] 20044 ab:aab=a,bbbb=baa finite:14;idempotents:1,ab,bbbbb b/a - - ab:bbbbbbbbb=bbbb,abbbbb=a,ba=bbbbb,aa=abbbb [11m11s] # 20045 solved: rounds:3,rules:4,peak:5,longest:7,steps:3,word:4,work:306,nodes:20,pairs:8,completionMax:39us [11m11s] 20045 ab:aab=a,bbbb=bab finite:10;idempotents:1,ab,bbbbbb b/a - - ab:bbbbbbb=bbbb,abbb=a,ba=bbbbbb,aa=abb [11m11s] # 20046 solved: rounds:3,rules:4,peak:10,longest:6,steps:4,word:1,work:1555,nodes:30,pairs:35,completionMax:156us [11m11s] 20046 ab:aab=a,bbbb=bba finite:13;idempotents:1,ba,aaa,bbaa a/b - - ab:aaaa=a,ab=aaa,bbba=bbaaa,bbbb=bba [11m11s] # 20047 solved: rounds:4,rules:3,peak:4,longest:4,steps:3,word:0,work:165,nodes:16,pairs:4,completionMax:17us [11m11s] 20047 ab:aab=a,bbbb=bbb finite:8;idempotents:1,a,ba,bba,bbb,bbba ab - - ab:aa=a,ab=a,bbbb=bbb [11m11s] # 20048 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:81,nodes:8,pairs:1,completionMax:5us [11m11s] 20048 ab:aab=b,aaaa=aaa infinite ab - - ab:ab=b,aaaa=aaa [11m11s] # 20049 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:3,work:76,nodes:12,pairs:1,completionMax:7us [11m11s] 20049 ab:aab=b,aaaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaa [11m11s] from: 20049 ab:aab=b,aaaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbb [11m11s] # 20050 solved: rounds:2,rules:4,peak:6,longest:7,steps:3,word:3,work:856,nodes:18,pairs:10,completionMax:44us [11m11s] 20050 ab:aab=b,aaaa=aba finite:8;idempotents:1,b,aaaa a/b - - ab:aaaaaa=aaaa,ba=aaaaa,aab=b,bb=b [11m11s] # 20051 solved: rounds:2,rules:4,peak:7,longest:6,steps:5,word:3,work:676,nodes:22,pairs:26,completionMax:65us [11m11s] 20051 ab:aab=b,aaaa=abb finite:8;idempotents:1,bbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a4=ab2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaaa=bbbb [11m11s] # 20052 solved: rounds:1,rules:5,peak:5,longest:6,steps:2,word:1,work:237,nodes:16,pairs:3,completionMax:16us [11m11s] 20052 ab:aab=b,aaaa=baa finite:10;idempotents:1,b,aba,aaaa a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=b,bb=b,bab=ab [11m11s] # 20053 solved: rounds:3,rules:4,peak:8,longest:5,steps:6,word:2,work:797,nodes:20,pairs:23,completionMax:88us [11m11s] 20053 ab:aab=b,aaaa=bab finite:8;idempotents:1,bbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a4=ab2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaaa=bbbb [11m11s] from: 20053 ab:aab=b,aaaa=bab finite:8;idempotents:1,bbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a4=ab2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 20051 ab:aab=b,aaaa=abb finite:8;idempotents:1,bbbb;center:1,a,b,aa,bb,aaa,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a4=ab2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20054 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:2,work:304,nodes:20,pairs:6,completionMax:36us [11m11s] 20054 ab:aab=b,aaaa=bba finite:12;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,baa=bbba,aaaa=bba [11m11s] # 20055 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:1,work:246,nodes:22,pairs:7,completionMax:29us [11m11s] 20055 ab:aab=b,aaaa=bbb infinite a/b - - ab:aaaaaa=aaaa,baa=b,aab=b,bbb=aaaa [11m11s] # 20056 solved: rounds:2,rules:2,peak:2,longest:5,steps:2,word:0,work:44,nodes:10,pairs:2,completionMax:7us [11m11s] 20056 ab:aab=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [11m11s] from: 20056 ab:aab=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [11m11s] # 20057 solved: rounds:0,rules:1,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m11s] 20057 ab:aab=b,aaab=aab infinite ab - - ab:ab=b [11m11s] from: 20057 ab:aab=b,aaab=aab infinite to: 2055 ab:aab=b,aaab=b infinite a=a,b=b [11m11s] # 20058 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:29,nodes:10,pairs:2,completionMax:7us [11m11s] 20058 ab:aab=b,aaab=aba infinite ab - - ab:ba=b,aab=b [11m11s] from: 20058 ab:aab=b,aaab=aba infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [11m11s] # 20059 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:10,pairs:1,completionMax:5us [11m11s] 20059 ab:aab=b,aaab=abb infinite ab - - ab:bb=b,aab=b [11m11s] from: 20059 ab:aab=b,aaab=abb infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 20060 solved: rounds:1,rules:2,peak:2,longest:5,steps:5,word:1,work:39,nodes:12,pairs:1,completionMax:6us [11m11s] 20060 ab:aab=b,aaab=baa infinite a/b - - ab:baaaa=b,ab=baa [11m11s] from: 20060 ab:aab=b,aaab=baa infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [11m11s] # 20061 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:43,nodes:10,pairs:1,completionMax:6us [11m11s] 20061 ab:aab=b,aaab=bab infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 20061 ab:aab=b,aaab=bab infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 20062 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:487,nodes:22,pairs:10,completionMax:47us [11m11s] 20062 ab:aab=b,aaab=bba infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 20062 ab:aab=b,aaab=bba infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 20063 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:1,work:23,nodes:12,pairs:1,completionMax:5us [11m11s] 20063 ab:aab=b,aaab=bbb infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 20063 ab:aab=b,aaab=bbb infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 20064 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:1,work:112,nodes:12,pairs:2,completionMax:9us [11m11s] 20064 ab:aab=b,aaba=aaa finite:7;idempotents:1,b,aaaa a/b - - ab:aaaaa=aaa,ba=aaa,aab=b,bb=b [11m11s] # 20065 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:1us [11m11s] 20065 ab:aab=b,aaba=aab infinite ab - - ab:ba=b,aab=b [11m11s] from: 20065 ab:aab=b,aaba=aab infinite to: 271 ab:ab=a,bba=a infinite a=b,b=a [11m11s] # 20066 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:27,nodes:8,pairs:2,completionMax:4us [11m11s] 20066 ab:aab=b,aaba=aba infinite ab - - ab:aab=b,aba=ba,abb=bb [11m11s] from: 20066 ab:aab=b,aaba=aba infinite to: 19514 ab:aab=b,aaaba=ba infinite a=a,b=b [11m11s] # 20067 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:81,nodes:14,pairs:1,completionMax:7us [11m11s] 20067 ab:aab=b,aaba=abb infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 20067 ab:aab=b,aaba=abb infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 20068 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:32,nodes:10,pairs:1,completionMax:5us [11m11s] 20068 ab:aab=b,aaba=baa infinite ab - - ab:aab=b,baa=ba,bab=bb [11m11s] from: 20068 ab:aab=b,aaba=baa infinite to: 19522 ab:aab=b,aabaa=ba infinite a=a,b=b [11m11s] # 20069 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:1,work:99,nodes:12,pairs:4,completionMax:10us [11m11s] 20069 ab:aab=b,aaba=bab infinite a/b - - ab:baaa=ba,aab=b,bb=baa,bab=ba [11m11s] from: 20069 ab:aab=b,aaba=bab infinite to: 1672 ab:aba=ab,bba=a infinite a=b,b=a [11m11s] # 20070 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:1,completionMax:4us [11m11s] 20070 ab:aab=b,aaba=bba infinite ab - - ab:aab=b,bba=ba,bbb=bb [11m11s] from: 20070 ab:aab=b,aaba=bba infinite to: 19530 ab:aab=b,aabba=ba infinite a=a,b=b [11m11s] # 20071 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:54,nodes:16,pairs:1,completionMax:6us [11m11s] 20071 ab:aab=b,aaba=bbb infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 20071 ab:aab=b,aaba=bbb infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 20072 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:2,work:165,nodes:14,pairs:5,completionMax:23us [11m11s] 20072 ab:aab=b,aabb=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [11m11s] from: 20072 ab:aab=b,aabb=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20073 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m11s] 20073 ab:aab=b,aabb=aab infinite ab - - ab:bb=b,aab=b [11m11s] from: 20073 ab:aab=b,aabb=aab infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 20074 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:3,work:205,nodes:22,pairs:8,completionMax:26us [11m11s] 20074 ab:aab=b,aabb=aba infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 20074 ab:aab=b,aabb=aba infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 20075 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m11s] 20075 ab:aab=b,aabb=abb infinite ab - - ab:aab=b,abb=bb [11m11s] from: 20075 ab:aab=b,aabb=abb infinite to: 19519 ab:aab=b,aaabb=bb infinite a=a,b=b [11m11s] # 20076 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:63,nodes:14,pairs:1,completionMax:7us [11m11s] 20076 ab:aab=b,aabb=baa infinite a/b - - ab:baaaa=baa,aab=b,bb=baa [11m11s] from: 20076 ab:aab=b,aabb=baa infinite to: 19523 ab:aab=b,aabaa=bb infinite a=a,b=b [11m11s] # 20077 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [11m11s] 20077 ab:aab=b,aabb=bab infinite ab - - ab:aab=b,bab=bb [11m11s] from: 20077 ab:aab=b,aabb=bab infinite to: 19527 ab:aab=b,aabab=bb infinite a=a,b=b [11m11s] # 20078 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m11s] 20078 ab:aab=b,aabb=bba infinite ab - - ab:aab=b,bba=bb [11m11s] from: 20078 ab:aab=b,aabb=bba infinite to: 19531 ab:aab=b,aabba=bb infinite a=a,b=b [11m11s] # 20079 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [11m11s] 20079 ab:aab=b,aabb=bbb infinite ab - - ab:aab=b,bbb=bb [11m11s] from: 20079 ab:aab=b,aabb=bbb infinite to: 19535 ab:aab=b,aabbb=bb infinite a=a,b=b [11m11s] # 20080 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:1,work:468,nodes:18,pairs:10,completionMax:45us [11m11s] 20080 ab:aab=b,abaa=aaa finite:9;idempotents:1,b,aba,aaaa a/b - - ab:aaaaa=aaa,baa=aaaa,aab=b,bb=b,bab=ab [11m11s] # 20081 solved: rounds:2,rules:2,peak:3,longest:5,steps:5,word:1,work:88,nodes:12,pairs:7,completionMax:16us [11m11s] 20081 ab:aab=b,abaa=aab infinite a/b - - ab:baaaa=b,ab=baa [11m11s] from: 20081 ab:aab=b,abaa=aab infinite to: 1639 ab:aab=ba,baa=b infinite anti:a=a,b=b [11m11s] # 20082 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:128,nodes:14,pairs:6,completionMax:18us [11m11s] 20082 ab:aab=b,abaa=aba infinite ab - - ab:aab=b,baa=ba,bab=bb [11m11s] from: 20082 ab:aab=b,abaa=aba infinite to: 19522 ab:aab=b,aabaa=ba infinite a=a,b=b [11m11s] # 20083 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:80,nodes:14,pairs:3,completionMax:14us [11m11s] 20083 ab:aab=b,abaa=abb infinite a/b - - ab:baaaa=baa,aab=b,bb=baa [11m11s] from: 20083 ab:aab=b,abaa=abb infinite to: 19523 ab:aab=b,aabaa=bb infinite a=a,b=b [11m11s] # 20084 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:81,nodes:10,pairs:3,completionMax:14us [11m11s] 20084 ab:aab=b,abaa=baa infinite ab - - ab:aab=b,abb=bb,abaa=baa,abab=bab [11m11s] # 20085 solved: rounds:3,rules:5,peak:6,longest:6,steps:4,word:2,work:386,nodes:26,pairs:6,completionMax:54us [11m11s] 20085 ab:aab=b,abaa=bab infinite a/b - - ab:baaaa=baa,aab=b,bbaa=baa,bab=abaa,bbb=bb [11m11s] # 20086 solved: rounds:2,rules:4,peak:6,longest:5,steps:3,word:2,work:442,nodes:22,pairs:10,completionMax:69us [11m11s] 20086 ab:aab=b,abaa=bba infinite b/a - - ab:bbbbb=bb,bab=abbb,aab=b,baa=abba [11m11s] # 20087 solved: rounds:2,rules:6,peak:6,longest:7,steps:3,word:3,work:505,nodes:24,pairs:13,completionMax:54us [11m11s] 20087 ab:aab=b,abaa=bbb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bbbbbab=bab,aab=b,abab=bbbab,baa=bbbbb [11m11s] # 20088 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:2,work:976,nodes:22,pairs:36,completionMax:98us [11m11s] 20088 ab:aab=b,abab=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [11m11s] from: 20088 ab:aab=b,abab=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20089 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:93,nodes:14,pairs:6,completionMax:17us [11m11s] 20089 ab:aab=b,abab=aab infinite ab - - ab:bb=b,aab=b,bab=ab [11m11s] from: 20089 ab:aab=b,abab=aab infinite to: 2063 ab:aab=b,abab=b infinite a=a,b=b [11m11s] # 20090 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:1,work:225,nodes:14,pairs:8,completionMax:35us [11m11s] 20090 ab:aab=b,abab=aba infinite a/b - - ab:baaa=ba,aab=b,bb=baa,bab=ba [11m11s] from: 20090 ab:aab=b,abab=aba infinite to: 1672 ab:aba=ab,bba=a infinite a=b,b=a [11m11s] # 20091 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:41,nodes:14,pairs:2,completionMax:9us [11m11s] 20091 ab:aab=b,abab=abb infinite ab - - ab:aab=b,bab=bb [11m11s] from: 20091 ab:aab=b,abab=abb infinite to: 19527 ab:aab=b,aabab=bb infinite a=a,b=b [11m11s] # 20092 solved: rounds:3,rules:5,peak:6,longest:5,steps:5,word:2,work:692,nodes:24,pairs:15,completionMax:55us [11m11s] 20092 ab:aab=b,abab=baa infinite a/b - - ab:baaaa=baa,aab=b,bbaa=baa,bab=abaa,bbb=bb [11m11s] from: 20092 ab:aab=b,abab=baa infinite to: 20085 ab:aab=b,abaa=bab infinite a=a,b=b [11m11s] # 20093 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:1,work:54,nodes:15,pairs:6,completionMax:11us [11m11s] 20093 ab:aab=b,abab=bab infinite ac/b ab=c frequency:2/0 abc:aac=c,acc=cc,b=ac [11m11s] from: 20093 ab:aab=b,abab=bab infinite to: 19519 ab:aab=b,aaabb=bb infinite a=a,b=ab,c=b [11m11s] # 20094 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:3,work:323,nodes:16,pairs:3,completionMax:25us [11m11s] 20094 ab:aab=b,abab=bba infinite reversed:a/b - - ab:aab=b,bba=abab,babab=abbb [11m11s] # 20095 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:467,nodes:32,pairs:6,completionMax:47us [11m11s] 20095 ab:aab=b,abab=bbb infinite b/a - - ab:bbbbbbb=bbbb,bab=abbb,aab=b [11m11s] # 20096 solved: rounds:3,rules:4,peak:8,longest:5,steps:4,word:2,work:689,nodes:22,pairs:14,completionMax:82us [11m11s] 20096 ab:aab=b,abba=aaa finite:11;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,baa=bbba,aaa=bbbba [11m11s] # 20097 solved: rounds:5,rules:3,peak:7,longest:5,steps:4,word:1,work:472,nodes:22,pairs:11,completionMax:66us [11m11s] 20097 ab:aab=b,abba=aab infinite b/a - - ab:bbbb=b,ba=abb,aab=b [11m11s] from: 20097 ab:aab=b,abba=aab infinite to: 1642 ab:aab=ba,bba=a infinite a=b,b=a [11m11s] # 20098 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:150,nodes:14,pairs:4,completionMax:21us [11m11s] 20098 ab:aab=b,abba=aba infinite ab - - ab:aab=b,bba=ba,bbb=bb [11m11s] from: 20098 ab:aab=b,abba=aba infinite to: 19530 ab:aab=b,aabba=ba infinite a=a,b=b [11m11s] # 20099 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:14,pairs:2,completionMax:7us [11m11s] 20099 ab:aab=b,abba=abb infinite ab - - ab:aab=b,bba=bb [11m11s] from: 20099 ab:aab=b,abba=abb infinite to: 19531 ab:aab=b,aabba=bb infinite a=a,b=b [11m11s] # 20100 solved: rounds:1,rules:4,peak:4,longest:5,steps:7,word:3,work:219,nodes:16,pairs:2,completionMax:19us [11m11s] 20100 ab:aab=b,abba=baa infinite b/a - - ab:bbbbb=bb,bab=abbb,aab=b,baa=abba [11m11s] from: 20100 ab:aab=b,abba=baa infinite to: 20086 ab:aab=b,abaa=bba infinite a=a,b=b [11m11s] # 20101 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:218,nodes:16,pairs:3,completionMax:19us [11m11s] 20101 ab:aab=b,abba=bab infinite reversed:a/b - - ab:aab=b,bba=abab,babab=abbb [11m11s] from: 20101 ab:aab=b,abba=bab infinite to: 20094 ab:aab=b,abab=bba infinite a=a,b=b [11m11s] # 20102 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:33,nodes:10,pairs:2,completionMax:5us [11m11s] 20102 ab:aab=b,abba=bba infinite ab - - ab:aab=b,abba=bba,abbb=bbb [11m11s] # 20103 solved: rounds:4,rules:4,peak:6,longest:12,steps:10,word:6,work:2174,nodes:48,pairs:15,completionMax:89us [11m11s] 20103 ab:aab=b,abba=bbb infinite b/a - - ab:bbbbbbbb=bbb,babbb=abbbbbbb,bba=abbb,aab=b [11m11s] # 20104 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:1,work:209,nodes:20,pairs:11,completionMax:23us [11m11s] 20104 ab:aab=b,abbb=aaa infinite a/b - - ab:aaaaa=aaa,baa=b,aab=b,bbb=aaaa [11m11s] # 20105 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:1,work:27,nodes:12,pairs:3,completionMax:6us [11m11s] 20105 ab:aab=b,abbb=aab infinite b/a - - ab:bbbbb=b,ab=bbb [11m11s] from: 20105 ab:aab=b,abbb=aab infinite to: 1590 ab:aaa=ab,abb=a infinite anti:a=b,b=a [11m11s] # 20106 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:1,work:155,nodes:26,pairs:6,completionMax:20us [11m11s] 20106 ab:aab=b,abbb=aba infinite b/a - - ab:bbbbbb=bb,ba=bbb,aab=b [11m11s] from: 20106 ab:aab=b,abbb=aba infinite to: 1596 ab:aaa=ab,bba=a infinite a=b,b=a [11m11s] # 20107 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:51,nodes:14,pairs:1,completionMax:8us [11m11s] 20107 ab:aab=b,abbb=abb infinite ab - - ab:aab=b,bbb=bb [11m11s] from: 20107 ab:aab=b,abbb=abb infinite to: 19535 ab:aab=b,aabbb=bb infinite a=a,b=b [11m11s] # 20108 solved: rounds:3,rules:6,peak:6,longest:7,steps:3,word:3,work:527,nodes:24,pairs:14,completionMax:62us [11m11s] 20108 ab:aab=b,abbb=baa infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bbbbbab=bab,aab=b,abab=bbbab,baa=bbbbb [11m11s] from: 20108 ab:aab=b,abbb=baa infinite to: 20087 ab:aab=b,abaa=bbb infinite a=a,b=b [11m11s] # 20109 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:211,nodes:20,pairs:1,completionMax:10us [11m11s] 20109 ab:aab=b,abbb=bab infinite b/a - - ab:bbbbbbb=bbbb,bab=abbb,aab=b [11m11s] from: 20109 ab:aab=b,abbb=bab infinite to: 20095 ab:aab=b,abab=bbb infinite a=a,b=b [11m11s] # 20110 solved: rounds:3,rules:4,peak:6,longest:10,steps:9,word:5,work:1639,nodes:52,pairs:7,completionMax:74us [11m11s] 20110 ab:aab=b,abbb=bba infinite b/a - - ab:bbbbbbbb=bbb,babbb=abbbbbbb,bba=abbb,aab=b [11m11s] from: 20110 ab:aab=b,abbb=bba infinite to: 20103 ab:aab=b,abba=bbb infinite a=a,b=b [11m11s] # 20111 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:4,nodes:10,pairs:0,completionMax:2us [11m11s] 20111 ab:aab=b,abbb=bbb infinite ab - - ab:aab=b,abbb=bbb [11m11s] # 20112 solved: rounds:1,rules:5,peak:5,longest:5,steps:2,word:0,work:179,nodes:16,pairs:3,completionMax:26us [11m11s] 20112 ab:aab=b,baaa=aaa finite:11;idempotents:1,b,aba,baa,aaaa ab - - ab:bb=b,aab=b,bab=ab,baaa=aaa,aaaaa=aaa [11m11s] # 20113 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:38,nodes:12,pairs:2,completionMax:6us [11m11s] 20113 ab:aab=b,baaa=aab infinite ab - - ab:aab=b,bab=bb,baaa=b [11m11s] from: 20113 ab:aab=b,baaa=aab infinite to: 2069 ab:aab=b,baaa=b infinite a=a,b=b [11m11s] # 20114 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:115,nodes:18,pairs:3,completionMax:24us [11m11s] 20114 ab:aab=b,baaa=aba infinite a/b - - ab:baaaaa=ba,aba=baaa,aab=b,abb=bb [11m11s] from: 20114 ab:aab=b,baaa=aba infinite to: 19538 ab:aab=b,abaaa=ba infinite a=a,b=b [11m11s] # 20115 solved: rounds:1,rules:4,peak:4,longest:5,steps:7,word:2,work:220,nodes:18,pairs:2,completionMax:24us [11m11s] 20115 ab:aab=b,baaa=abb infinite b/a - - ab:bbbbb=bb,bab=abbb,aab=b,baaa=abb [11m11s] from: 20115 ab:aab=b,baaa=abb infinite to: 19539 ab:aab=b,abaaa=bb infinite a=a,b=b [11m11s] # 20116 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:44,nodes:12,pairs:1,completionMax:6us [11m11s] 20116 ab:aab=b,baaa=baa infinite ab - - ab:aab=b,bab=bb,baaa=baa [11m11s] # 20117 solved: rounds:2,rules:4,peak:4,longest:10,steps:5,word:5,work:235,nodes:24,pairs:4,completionMax:19us [11m11s] 20117 ab:aab=b,baaa=bab infinite a/b - - ab:baaaaaaaaa=baaa,aab=b,bb=baaaaaa,bab=baaa [11m11s] # 20118 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:1,work:152,nodes:18,pairs:3,completionMax:13us [11m11s] 20118 ab:aab=b,baaa=bba infinite a/b - - ab:baaaaa=baaa,aab=b,bba=baaa,bbb=bb [11m11s] # 20119 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:128,nodes:20,pairs:2,completionMax:12us [11m11s] 20119 ab:aab=b,baaa=bbb infinite b/a - - ab:bbbbbb=bb,bab=bbbb,aab=b,baaa=bbb [11m11s] # 20120 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:2,work:166,nodes:14,pairs:5,completionMax:20us [11m11s] 20120 ab:aab=b,baab=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [11m11s] from: 20120 ab:aab=b,baab=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20121 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:3us [11m11s] 20121 ab:aab=b,baab=aab infinite ab - - ab:bb=b,aab=b [11m11s] from: 20121 ab:aab=b,baab=aab infinite to: 241 ab:aa=a,abb=a infinite anti:a=b,b=a [11m11s] # 20122 solved: rounds:2,rules:3,peak:4,longest:6,steps:6,word:3,work:206,nodes:22,pairs:8,completionMax:26us [11m11s] 20122 ab:aab=b,baab=aba infinite b/a - - ab:bbbbb=bb,ba=abb,aab=b [11m11s] from: 20122 ab:aab=b,baab=aba infinite to: 1636 ab:aab=ba,abb=a infinite anti:a=b,b=a [11m11s] # 20123 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m11s] 20123 ab:aab=b,baab=abb infinite ab - - ab:aab=b,abb=bb [11m11s] from: 20123 ab:aab=b,baab=abb infinite to: 19519 ab:aab=b,aaabb=bb infinite a=a,b=b [11m11s] # 20124 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:64,nodes:14,pairs:1,completionMax:10us [11m11s] 20124 ab:aab=b,baab=baa infinite a/b - - ab:baaaa=baa,aab=b,bb=baa [11m11s] from: 20124 ab:aab=b,baab=baa infinite to: 19523 ab:aab=b,aabaa=bb infinite a=a,b=b [11m11s] # 20125 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m11s] 20125 ab:aab=b,baab=bab infinite ab - - ab:aab=b,bab=bb [11m11s] from: 20125 ab:aab=b,baab=bab infinite to: 19527 ab:aab=b,aabab=bb infinite a=a,b=b [11m11s] # 20126 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 20126 ab:aab=b,baab=bba infinite ab - - ab:aab=b,bba=bb [11m11s] from: 20126 ab:aab=b,baab=bba infinite to: 19531 ab:aab=b,aabba=bb infinite a=a,b=b [11m11s] # 20127 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:3us [11m11s] 20127 ab:aab=b,baab=bbb infinite ab - - ab:aab=b,bbb=bb [11m11s] from: 20127 ab:aab=b,baab=bbb infinite to: 19535 ab:aab=b,aabbb=bb infinite a=a,b=b [11m11s] # 20128 solved: rounds:3,rules:4,peak:7,longest:5,steps:6,word:2,work:1026,nodes:20,pairs:27,completionMax:92us [11m11s] 20128 ab:aab=b,baba=aaa finite:11;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,baa=bbba,aaa=bbbba [11m11s] from: 20128 ab:aab=b,baba=aaa finite:11;idempotents:1,bba,bbbb to: 20096 ab:aab=b,abba=aaa finite:11;idempotents:1,bba,bbbb a=a,b=b [11m11s] # 20129 solved: rounds:4,rules:4,peak:5,longest:4,steps:2,word:0,work:233,nodes:14,pairs:13,completionMax:32us [11m11s] 20129 ab:aab=b,baba=aab infinite ab - - ab:bb=b,aab=b,baa=b,bab=ba [11m11s] from: 20129 ab:aab=b,baba=aab infinite to: 2073 ab:aab=b,baba=b infinite a=a,b=b [11m11s] # 20130 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:241,nodes:14,pairs:4,completionMax:19us [11m11s] 20130 ab:aab=b,baba=aba infinite ab - - ab:aab=b,bba=ba,bbb=bb,baba=aba,babb=abb [11m11s] from: 20130 ab:aab=b,baba=aba infinite to: 19546 ab:aab=b,ababa=ba infinite a=a,b=b [11m11s] # 20131 solved: rounds:2,rules:5,peak:7,longest:5,steps:3,word:1,work:786,nodes:22,pairs:12,completionMax:48us [11m11s] 20131 ab:aab=b,baba=abb infinite reversed:a/b - - ab:aab=b,baba=abb,bbab=ababb,bbba=abbb,babba=ababb [11m11s] from: 20131 ab:aab=b,baba=abb infinite to: 19547 ab:aab=b,ababa=bb infinite a=a,b=b [11m11s] # 20132 solved: rounds:2,rules:6,peak:6,longest:5,steps:3,word:1,work:382,nodes:18,pairs:8,completionMax:35us [11m11s] 20132 ab:aab=b,baba=baa infinite a/b - - ab:baaaa=baa,aab=b,bba=baaa,baba=baa,bbb=bb,babb=bab [11m11s] # 20133 solved: rounds:2,rules:7,peak:7,longest:4,steps:2,word:0,work:138,nodes:21,pairs:10,completionMax:20us [11m11s] 20133 ab:aab=b,baba=bab infinite acb ba=c frequency:2/0 abc:cb=cc,ba=c,aac=c,aab=b,cac=bc,cab=bb,cca=cc [11m11s] # 20134 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:57,nodes:12,pairs:2,completionMax:6us [11m11s] 20134 ab:aab=b,baba=bba infinite ab - - ab:aab=b,baba=bba,babb=bbb [11m11s] # 20135 solved: rounds:3,rules:7,peak:7,longest:8,steps:12,word:4,work:3350,nodes:50,pairs:8,completionMax:126us [11m11s] 20135 ab:aab=b,baba=bbb infinite reversed:b/a - - ab:bbbbbbbb=bbbbb,bbbbbbba=bbbba,bbbbab=bbbbbba,babb=bbbab,bbbbaa=bbbbbbb,baba=bbb,aab=b [11m11s] # 20136 solved: rounds:4,rules:4,peak:7,longest:6,steps:10,word:5,work:1029,nodes:26,pairs:20,completionMax:86us [11m11s] 20136 ab:aab=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a/b - - ab:aaaaa=aaa,baa=b,ab=ba,bbb=aaaa [11m11s] # 20137 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [11m11s] 20137 ab:aab=b,babb=aab infinite ab - - ab:aab=b,babb=b [11m11s] from: 20137 ab:aab=b,babb=aab infinite to: 2075 ab:aab=b,babb=b infinite a=a,b=b [11m11s] # 20138 solved: rounds:3,rules:8,peak:10,longest:6,steps:4,word:2,work:2142,nodes:32,pairs:18,completionMax:153us [11m11s] 20138 ab:aab=b,babb=aba infinite b/a - - ab:bbbbbb=bb,babbbb=ba,bbbba=abbbb,aab=b,aba=babb,abba=bbbab,abbba=bbabbb,baa=bbbbb [11m11s] from: 20138 ab:aab=b,babb=aba infinite to: 19550 ab:aab=b,ababb=ba infinite a=a,b=b [11m11s] # 20139 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:98,nodes:14,pairs:1,completionMax:10us [11m11s] 20139 ab:aab=b,babb=abb infinite ab - - ab:aab=b,bbb=bb,babb=abb [11m11s] from: 20139 ab:aab=b,babb=abb infinite to: 19551 ab:aab=b,ababb=bb infinite a=a,b=b [11m11s] # 20140 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:65,nodes:16,pairs:1,completionMax:8us [11m11s] 20140 ab:aab=b,babb=baa infinite ab - - ab:aab=b,babb=baa,baaaa=baa [11m11s] # 20141 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:2us [11m11s] 20141 ab:aab=b,babb=bab infinite ab - - ab:aab=b,babb=bab [11m11s] # 20142 solved: rounds:2,rules:4,peak:4,longest:7,steps:7,word:4,work:356,nodes:28,pairs:2,completionMax:31us [11m11s] 20142 ab:aab=b,babb=bba infinite b/a - - ab:bbbbbbb=bbbb,bba=babb,aab=b,bababbb=bbb [11m11s] # 20143 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:2us [11m11s] 20143 ab:aab=b,babb=bbb infinite ab - - ab:aab=b,babb=bbb [11m11s] # 20144 solved: rounds:1,rules:3,peak:4,longest:5,steps:2,word:2,work:85,nodes:14,pairs:4,completionMax:11us [11m11s] 20144 ab:aab=b,bbaa=aaa finite:15;idempotents:1,bba,bbbb,bbbbaa b/a - - ab:bbbbb=b,ab=bbb,aaa=bbaa [11m11s] # 20145 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:167,nodes:12,pairs:6,completionMax:19us [11m11s] 20145 ab:aab=b,bbaa=aab infinite ab - - ab:bb=b,aab=b,baa=b [11m11s] from: 20145 ab:aab=b,bbaa=aab infinite to: 2077 ab:aab=b,bbaa=b infinite a=a,b=b [11m11s] # 20146 solved: rounds:5,rules:5,peak:7,longest:6,steps:6,word:2,work:901,nodes:28,pairs:11,completionMax:67us [11m11s] 20146 ab:aab=b,bbaa=aba infinite b/a - - ab:bbbbb=bb,bab=abbb,bbbba=ba,aab=b,baa=abba [11m11s] from: 20146 ab:aab=b,bbaa=aba infinite to: 19554 ab:aab=b,abbaa=ba infinite a=a,b=b [11m11s] # 20147 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:1,work:71,nodes:18,pairs:1,completionMax:16us [11m11s] 20147 ab:aab=b,bbaa=abb infinite a/b - - ab:aab=b,bbaaaa=bb,abb=bbaa [11m11s] from: 20147 ab:aab=b,bbaa=abb infinite to: 19555 ab:aab=b,abbaa=bb infinite a=a,b=b [11m11s] # 20148 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:120,nodes:12,pairs:2,completionMax:10us [11m11s] 20148 ab:aab=b,bbaa=baa infinite ab - - ab:aab=b,bbb=bb,bbaa=baa,bbab=bab [11m11s] # 20149 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:1,work:24,nodes:10,pairs:0,completionMax:4us [11m11s] 20149 ab:aab=b,bbaa=bab infinite a/b - - ab:aab=b,bab=bbaa [11m11s] # 20150 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:38,nodes:12,pairs:1,completionMax:8us [11m11s] 20150 ab:aab=b,bbaa=bba infinite ab - - ab:aab=b,bbaa=bba,bbab=bbb [11m11s] # 20151 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:1,work:146,nodes:16,pairs:2,completionMax:12us [11m11s] 20151 ab:aab=b,bbaa=bbb infinite a/b - - ab:aab=b,bbaaaa=bbaa,bbb=bbaa [11m11s] # 20152 solved: rounds:3,rules:4,peak:12,longest:8,steps:6,word:2,work:2375,nodes:52,pairs:38,completionMax:195us [11m11s] 20152 ab:aab=b,bbab=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a/b - - ab:aaaaa=aaa,baa=b,ab=ba,bbb=aaaa [11m11s] from: 20152 ab:aab=b,bbab=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 20136 ab:aab=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 20153 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [11m11s] 20153 ab:aab=b,bbab=aab infinite ab - - ab:aab=b,bbab=b [11m11s] from: 20153 ab:aab=b,bbab=aab infinite to: 2079 ab:aab=b,bbab=b infinite a=a,b=b [11m11s] # 20154 solved: rounds:3,rules:8,peak:11,longest:8,steps:5,word:5,work:3084,nodes:44,pairs:36,completionMax:173us [11m11s] 20154 ab:aab=b,bbab=aba infinite b/a - - ab:bbbbbb=bb,babbbb=ba,bbbba=abbbb,aab=b,aba=bbab,abba=babbb,abbba=bbbabb,baa=bbbbb [11m11s] from: 20154 ab:aab=b,bbab=aba infinite to: 19558 ab:aab=b,abbab=ba infinite a=a,b=b [11m11s] # 20155 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:412,nodes:28,pairs:4,completionMax:24us [11m11s] 20155 ab:aab=b,bbab=abb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aab=b [11m11s] from: 20155 ab:aab=b,bbab=abb infinite to: 19559 ab:aab=b,abbab=bb infinite a=a,b=b [11m11s] # 20156 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:64,nodes:18,pairs:1,completionMax:6us [11m11s] 20156 ab:aab=b,bbab=baa infinite ab - - ab:aab=b,bbab=baa,baaaa=baa [11m11s] # 20157 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:2us [11m11s] 20157 ab:aab=b,bbab=bab infinite ab - - ab:aab=b,bbab=bab [11m11s] # 20158 solved: rounds:2,rules:4,peak:4,longest:5,steps:4,word:1,work:238,nodes:14,pairs:5,completionMax:15us [11m11s] 20158 ab:aab=b,bbab=bba infinite a/b - - ab:aab=b,bbaaa=bba,bbb=bbaa,bbab=bba [11m11s] # 20159 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:12,pairs:0,completionMax:3us [11m11s] 20159 ab:aab=b,bbab=bbb infinite ab - - ab:aab=b,bbab=bbb [11m11s] # 20160 solved: rounds:2,rules:5,peak:5,longest:5,steps:2,word:0,work:192,nodes:20,pairs:4,completionMax:18us [11m11s] 20160 ab:aab=b,bbba=aaa infinite ab - - ab:aab=b,baaa=ba,bbba=aaa,bbbb=b,aaaaa=aaa [11m11s] # 20161 solved: rounds:4,rules:3,peak:6,longest:6,steps:2,word:1,work:309,nodes:18,pairs:8,completionMax:43us [11m11s] 20161 ab:aab=b,bbba=aab infinite b/a - - ab:bbbbb=b,ba=bbb,aab=b [11m11s] from: 20161 ab:aab=b,bbba=aab infinite to: 2081 ab:aab=b,bbba=b infinite a=a,b=b [11m11s] # 20162 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:1,work:184,nodes:18,pairs:6,completionMax:35us [11m11s] 20162 ab:aab=b,bbba=aba infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bbbbba=ba,aab=b,aba=bbba [11m11s] from: 20162 ab:aab=b,bbba=aba infinite to: 19562 ab:aab=b,abbba=ba infinite a=a,b=b [11m11s] # 20163 solved: rounds:5,rules:4,peak:9,longest:10,steps:5,word:3,work:3353,nodes:56,pairs:29,completionMax:208us [11m11s] 20163 ab:aab=b,bbba=abb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aab=b [11m11s] from: 20163 ab:aab=b,bbba=abb infinite to: 19563 ab:aab=b,abbba=bb infinite a=a,b=b [11m11s] # 20164 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:127,nodes:18,pairs:2,completionMax:11us [11m11s] 20164 ab:aab=b,bbba=baa infinite b/a - - ab:bbbbbb=bb,bab=bbbb,aab=b,baa=bbba [11m11s] # 20165 solved: rounds:4,rules:4,peak:6,longest:9,steps:11,word:6,work:1515,nodes:34,pairs:9,completionMax:66us [11m11s] 20165 ab:aab=b,bbba=bab infinite reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,bbbbaa=bbbb,aab=b [11m11s] # 20166 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:115,nodes:12,pairs:1,completionMax:7us [11m11s] 20166 ab:aab=b,bbba=bba infinite ab - - ab:aab=b,bbba=bba,bbbb=bbb [11m11s] # 20167 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:2us [11m11s] 20167 ab:aab=b,bbba=bbb infinite ab - - ab:aab=b,bbba=bbb [11m11s] # 20168 solved: rounds:2,rules:4,peak:5,longest:9,steps:3,word:6,work:289,nodes:22,pairs:7,completionMax:42us [11m11s] 20168 ab:aab=b,bbbb=aaa finite:11;idempotents:1,bbbbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:a2b=b,b4=a3,a5=a3;saturation:a:a8=1;noncancellative:aa,1,ab,ab;smith:8 b/a - - ab:bbbbbbbbb=b,ab=bbbbb,ba=bbbbb,aaa=bbbb [11m11s] # 20169 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:2us [11m11s] 20169 ab:aab=b,bbbb=aab infinite ab - - ab:aab=b,bbbb=b [11m11s] from: 20169 ab:aab=b,bbbb=aab infinite to: 2083 ab:aab=b,bbbb=b infinite a=a,b=b [11m11s] # 20170 solved: rounds:2,rules:3,peak:4,longest:18,steps:20,word:15,work:875,nodes:70,pairs:7,completionMax:74us [11m11s] 20170 ab:aab=b,bbbb=aba infinite b/a - - ab:bbbbbbbbbbbbbbbbb=bb,ba=abbbb,aab=b [11m11s] from: 20170 ab:aab=b,bbbb=aba infinite to: 19566 ab:aab=b,abbbb=ba infinite a=a,b=b [11m11s] # 20171 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:54,nodes:18,pairs:1,completionMax:12us [11m11s] 20171 ab:aab=b,bbbb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aab=b [11m11s] from: 20171 ab:aab=b,bbbb=abb infinite to: 19567 ab:aab=b,abbbb=bb infinite a=a,b=b [11m11s] # 20172 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:122,nodes:18,pairs:2,completionMax:23us [11m11s] 20172 ab:aab=b,bbbb=baa infinite b/a - - ab:bbbbb=bb,bbbbab=bab,aab=b,baa=bbbb [11m11s] # 20173 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:15,nodes:10,pairs:0,completionMax:3us [11m11s] 20173 ab:aab=b,bbbb=bab infinite b/a - - ab:bab=bbbb,aab=b [11m11s] # 20174 solved: rounds:1,rules:3,peak:3,longest:7,steps:1,word:1,work:86,nodes:18,pairs:1,completionMax:8us [11m11s] 20174 ab:aab=b,bbbb=bba infinite b/a - - ab:bbbbbbb=bbb,bba=bbbb,aab=b [11m11s] # 20175 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:55,nodes:12,pairs:0,completionMax:4us [11m11s] 20175 ab:aab=b,bbbb=bbb infinite ab - - ab:aab=b,bbbb=bbb [11m11s] # 20176 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:70,nodes:10,pairs:0,completionMax:4us [11m11s] 20176 ab:aba=a,aaaa=aaa infinite ab - - ab:aba=a,aaaa=aaa [11m11s] # 20177 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:76,nodes:12,pairs:1,completionMax:8us [11m11s] 20177 ab:aba=a,aaaa=aab infinite a/b - - ab:aaaaa=aa,aba=a,aab=aaaa [11m11s] # 20178 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:10,pairs:0,completionMax:2us [11m11s] 20178 ab:aba=a,aaaa=aba infinite ab - - ab:aba=a,aaaa=a [11m11s] from: 20178 ab:aba=a,aaaa=aba infinite to: 2084 ab:aba=a,aaaa=a infinite a=a,b=b [11m11s] # 20179 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:6,pairs:0,completionMax:3us [11m11s] 20179 ab:aba=a,aaaa=abb infinite a/b - - ab:aba=a,abb=aaaa [11m11s] # 20180 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:3,work:121,nodes:14,pairs:11,completionMax:37us [11m11s] 20180 ab:aba=a,aaaa=bab infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a/b - - ab:aaaaaa=a,ba=aaaaa,ab=aaaaa [11m11s] from: 20180 ab:aba=a,aaaa=bab infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 to: 18926 ab:aab=a,babbbb=a infinite;commutative:ab:a6=a,ab=a5;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=b [11m11s] # 20181 solved: rounds:3,rules:5,peak:9,longest:10,steps:4,word:10,work:1622,nodes:48,pairs:13,completionMax:91us [11m11s] 20181 ab:aba=a,aaaa=bbb infinite b/a - - ab:bbbbbbbbbb=bbb,abbb=bbbbbbbbb,bbba=bbbbbbbbb,aba=a,aaaa=bbb [11m11s] # 20182 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:128,nodes:10,pairs:1,completionMax:15us [11m11s] 20182 ab:aba=a,aaab=aaa infinite ab - - ab:aba=a,aaaa=aaa,aaab=aaa [11m11s] # 20183 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:66,nodes:10,pairs:1,completionMax:8us [11m11s] 20183 ab:aba=a,aaab=aab infinite ab - - ab:aaa=aa,aba=a [11m11s] from: 20183 ab:aba=a,aaab=aab infinite to: 1578 ab:aaa=aa,aba=a infinite a=a,b=b [11m11s] # 20184 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:152,nodes:10,pairs:4,completionMax:18us [11m11s] 20184 ab:aba=a,aaab=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 20184 ab:aba=a,aaab=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20185 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:6,pairs:0,completionMax:2us [11m11s] 20185 ab:aba=a,aaab=abb infinite a/b - - ab:aba=a,abb=aaab [11m11s] # 20186 solved: rounds:4,rules:4,peak:6,longest:5,steps:3,word:0,work:688,nodes:20,pairs:16,completionMax:46us [11m11s] 20186 ab:aba=a,aaab=baa infinite ab - - ab:aaa=aa,aab=aa,aba=a,baa=aa [11m11s] from: 20186 ab:aba=a,aaab=baa infinite to: 19684 ab:aba=a,baaab=aa infinite a=a,b=b [11m11s] # 20187 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:115,nodes:16,pairs:7,completionMax:17us [11m11s] 20187 ab:aba=a,aaab=bab infinite a/b - - ab:aaaa=a,ba=aaa [11m11s] from: 20187 ab:aba=a,aaab=bab infinite to: 1586 ab:aaa=ab,aab=a infinite anti:a=a,b=b [11m11s] # 20188 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:1,work:192,nodes:20,pairs:2,completionMax:17us [11m11s] 20188 ab:aba=a,aaab=bba infinite a/b - - ab:aaaaaa=aaa,aba=a,bba=aaab [11m11s] # 20189 solved: rounds:4,rules:5,peak:11,longest:10,steps:4,word:3,work:3618,nodes:46,pairs:40,completionMax:242us [11m11s] 20189 ab:aba=a,aaab=bbb infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aba=a,aaabb=aaaaaaab,bbb=aaab [11m11s] # 20190 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:41,nodes:8,pairs:0,completionMax:4us [11m11s] 20190 ab:aba=a,aaba=aaa infinite ab - - ab:aaa=aa,aba=a [11m11s] from: 20190 ab:aba=a,aaba=aaa infinite to: 1578 ab:aaa=aa,aba=a infinite a=a,b=b [11m11s] # 20191 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:67,nodes:8,pairs:1,completionMax:7us [11m11s] 20191 ab:aba=a,aaba=aab infinite ab - - ab:aaa=aa,aab=aa,aba=a [11m11s] from: 20191 ab:aba=a,aaba=aab infinite to: 1610 ab:aab=aa,aba=a infinite a=a,b=b [11m11s] # 20192 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:27,nodes:6,pairs:0,completionMax:4us [11m11s] 20192 ab:aba=a,aaba=aba infinite ab - - ab:aa=a,aba=a [11m11s] from: 20192 ab:aba=a,aaba=aba infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 20193 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:16,nodes:6,pairs:0,completionMax:2us [11m11s] 20193 ab:aba=a,aaba=abb infinite ab - - ab:aba=a,abb=aa [11m11s] from: 20193 ab:aba=a,aaba=abb infinite to: 19669 ab:aba=a,ababb=aa infinite a=a,b=b [11m11s] # 20194 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:66,nodes:12,pairs:1,completionMax:9us [11m11s] 20194 ab:aba=a,aaba=baa infinite ab - - ab:aaa=aa,aba=a,baa=aa [11m11s] # 20195 solved: rounds:2,rules:3,peak:4,longest:4,steps:1,word:1,work:93,nodes:10,pairs:11,completionMax:23us [11m11s] 20195 ab:aba=a,aaba=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a/b - - ab:aaaa=a,ba=aaa,ab=aaa [11m11s] from: 20195 ab:aba=a,aaba=bab infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 to: 1592 ab:aaa=ab,baa=a infinite;commutative:ab:a4=a,ab=a3;saturation:a:a3=1;noncancellative:bb,a,aaa,a;smith:3 a=a,b=b [11m11s] # 20196 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m11s] 20196 ab:aba=a,aaba=bba infinite ab - - ab:aba=a,bba=aa [11m11s] from: 20196 ab:aba=a,aaba=bba infinite to: 19669 ab:aba=a,ababb=aa infinite anti:a=a,b=b [11m11s] # 20197 solved: rounds:4,rules:5,peak:7,longest:7,steps:3,word:3,work:563,nodes:26,pairs:9,completionMax:55us [11m11s] 20197 ab:aba=a,aaba=bbb infinite a/b - - ab:aaaaaaa=aa,baa=aaaaaa,aba=a,aab=aaaaaa,bbb=aa [11m11s] # 20198 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m11s] 20198 ab:aba=a,aabb=aaa infinite ab - - ab:aba=a,aabb=aaa [11m11s] # 20199 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m11s] 20199 ab:aba=a,aabb=aab infinite ab - - ab:aba=a,aabb=aab [11m11s] # 20200 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m11s] 20200 ab:aba=a,aabb=aba infinite ab - - ab:aba=a,aabb=a [11m11s] from: 20200 ab:aba=a,aabb=aba infinite to: 2090 ab:aba=a,aabb=a infinite a=a,b=b [11m11s] # 20201 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m11s] 20201 ab:aba=a,aabb=abb infinite ab - - ab:aba=a,aabb=abb [11m11s] # 20202 solved: rounds:3,rules:4,peak:9,longest:6,steps:4,word:0,work:1204,nodes:28,pairs:12,completionMax:93us [11m11s] 20202 ab:aba=a,aabb=baa infinite ab - - ab:aaa=aa,aba=a,baa=aa,aabb=aa [11m11s] # 20203 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:347,nodes:18,pairs:20,completionMax:46us [11m11s] 20203 ab:aba=a,aabb=bab infinite ab - - ab:aa=a,ba=a,abb=ab [11m11s] from: 20203 ab:aba=a,aabb=bab infinite to: 12461 ab:aabb=ab,baaa=a infinite a=a,b=b [11m11s] # 20204 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:153,nodes:14,pairs:1,completionMax:7us [11m11s] 20204 ab:aba=a,aabb=bba infinite reversed:a/b - - ab:aba=a,aaabb=aabb,bba=aabb [11m11s] # 20205 solved: rounds:3,rules:4,peak:4,longest:6,steps:2,word:1,work:154,nodes:22,pairs:5,completionMax:21us [11m11s] 20205 ab:aba=a,aabb=bbb infinite b/a - - ab:bbbbbb=bbb,abbb=bbbbb,aabb=bbb,aba=a [11m11s] # 20206 solved: rounds:1,rules:2,peak:2,longest:4,steps:1,word:1,work:29,nodes:8,pairs:2,completionMax:9us [11m11s] 20206 ab:aba=a,abab=aaa infinite a/b - - ab:aaaa=a,ab=aaa [11m11s] from: 20206 ab:aba=a,abab=aaa infinite to: 1586 ab:aaa=ab,aab=a infinite a=a,b=b [11m11s] # 20207 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:36,nodes:8,pairs:1,completionMax:8us [11m11s] 20207 ab:aba=a,abab=aab infinite ab - - ab:aa=a,aba=a [11m11s] from: 20207 ab:aba=a,abab=aab infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 20208 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:24,nodes:6,pairs:2,completionMax:6us [11m11s] 20208 ab:aba=a,abab=aba infinite ab - - ab:aa=a,ab=a [11m11s] from: 20208 ab:aba=a,abab=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m11s] # 20209 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m11s] 20209 ab:aba=a,abab=abb infinite ab - - ab:aba=a,abb=ab [11m11s] from: 20209 ab:aba=a,abab=abb infinite to: 19670 ab:aba=a,ababb=ab infinite a=a,b=b [11m11s] # 20210 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:317,nodes:14,pairs:13,completionMax:53us [11m11s] 20210 ab:aba=a,abab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20210 ab:aba=a,abab=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20211 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:77,nodes:12,pairs:7,completionMax:21us [11m11s] 20211 ab:aba=a,abab=bab infinite ab - - ab:aa=a,ba=a [11m11s] from: 20211 ab:aba=a,abab=bab infinite to: 55 ab:aa=a,ab=a infinite anti:a=a,b=b [11m11s] # 20212 solved: rounds:3,rules:3,peak:5,longest:3,steps:2,word:0,work:144,nodes:12,pairs:6,completionMax:23us [11m11s] 20212 ab:aba=a,abab=bba infinite ab - - ab:aa=a,ab=a,bba=a [11m11s] from: 20212 ab:aba=a,abab=bba infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m11s] # 20213 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:1,work:129,nodes:14,pairs:3,completionMax:23us [11m11s] 20213 ab:aba=a,abab=bbb finite:9;idempotents:1,ba,bbb b/a - - ab:bbbbbb=bbb,ab=bbb,bbba=a,aa=bba [11m11s] # 20214 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:32,nodes:8,pairs:0,completionMax:5us [11m11s] 20214 ab:aba=a,abba=aaa infinite ab - - ab:aba=a,abba=aaa [11m11s] # 20215 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:300,nodes:18,pairs:3,completionMax:20us [11m11s] 20215 ab:aba=a,abba=aab infinite ab - - ab:aaa=aa,aba=a,abba=aab,aabbba=aab [11m11s] # 20216 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:8,pairs:0,completionMax:3us [11m11s] 20216 ab:aba=a,abba=aba infinite ab - - ab:aba=a,abba=a [11m11s] from: 20216 ab:aba=a,abba=aba infinite to: 2094 ab:aba=a,abba=a infinite a=a,b=b [11m11s] # 20217 solved: rounds:1,rules:5,peak:5,longest:4,steps:3,word:0,work:87,nodes:12,pairs:7,completionMax:14us [11m11s] 20217 ab:aba=a,abba=abb infinite acb ab=c frequency:2/1 abc:ab=c,ca=a,cc=c,cba=cb,cbb=cbc [11m11s] # 20218 solved: rounds:2,rules:3,peak:6,longest:4,steps:4,word:0,work:426,nodes:18,pairs:23,completionMax:50us [11m11s] 20218 ab:aba=a,abba=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20218 ab:aba=a,abba=bab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20219 solved: rounds:4,rules:5,peak:7,longest:7,steps:3,word:1,work:1102,nodes:28,pairs:16,completionMax:74us [11m11s] 20219 ab:aba=a,abba=bbb infinite b/a - - ab:bbbbbb=bbb,abbb=bbbbb,bbba=bbbbb,aba=a,abba=bbb [11m11s] # 20220 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m11s] 20220 ab:aba=a,abbb=aaa infinite ab - - ab:aba=a,abbb=aaa [11m11s] # 20221 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m11s] 20221 ab:aba=a,abbb=aab infinite ab - - ab:aba=a,abbb=aab [11m11s] # 20222 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:8,pairs:0,completionMax:3us [11m11s] 20222 ab:aba=a,abbb=aba infinite ab - - ab:aba=a,abbb=a [11m11s] from: 20222 ab:aba=a,abbb=aba infinite to: 2096 ab:aba=a,abbb=a infinite a=a,b=b [11m11s] # 20223 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m11s] 20223 ab:aba=a,abbb=abb infinite ab - - ab:aba=a,abbb=abb [11m11s] # 20224 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:73,nodes:10,pairs:1,completionMax:9us [11m11s] 20224 ab:aba=a,abbb=baa infinite ab - - ab:aba=a,abbb=baa,abbaa=baa [11m11s] # 20225 solved: rounds:5,rules:3,peak:6,longest:5,steps:3,word:0,work:539,nodes:16,pairs:27,completionMax:56us [11m11s] 20225 ab:aba=a,abbb=bab infinite ab - - ab:aa=a,ba=a,abbb=ab [11m11s] from: 20225 ab:aba=a,abbb=bab infinite to: 19490 ab:aab=a,bbbaa=ba infinite anti:a=a,b=b [11m11s] # 20226 solved: rounds:3,rules:4,peak:4,longest:8,steps:5,word:2,work:371,nodes:30,pairs:4,completionMax:60us [11m11s] 20226 ab:aba=a,abbb=bba infinite b/a - - ab:abbbbbb=abbb,bba=abbb,aabbb=abbb,aba=a [11m11s] # 20227 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:14,pairs:1,completionMax:9us [11m11s] 20227 ab:aba=a,abbb=bbb infinite ab - - ab:aba=a,abbb=bbb,bbbb=bbb [11m11s] # 20228 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:1,work:200,nodes:16,pairs:9,completionMax:37us [11m11s] 20228 ab:aba=a,baab=aaa infinite a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,aab=aaaa [11m11s] # 20229 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:196,nodes:16,pairs:7,completionMax:22us [11m11s] 20229 ab:aba=a,baab=aab infinite ab - - ab:aaa=aa,aba=a,baa=aa [11m11s] from: 20229 ab:aba=a,baab=aab infinite to: 20194 ab:aba=a,aaba=baa infinite a=a,b=b [11m11s] # 20230 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:156,nodes:14,pairs:13,completionMax:23us [11m11s] 20230 ab:aba=a,baab=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m11s] from: 20230 ab:aba=a,baab=aba infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m11s] # 20231 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:1,work:365,nodes:18,pairs:8,completionMax:56us [11m11s] 20231 ab:aba=a,baab=abb infinite a/b - - ab:aaa=aa,aba=a,abb=baab [11m11s] # 20232 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:117,nodes:14,pairs:5,completionMax:23us [11m11s] 20232 ab:aba=a,baab=bab infinite ab - - ab:aa=a,aba=a [11m11s] from: 20232 ab:aba=a,baab=bab infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m11s] # 20233 solved: rounds:3,rules:7,peak:7,longest:7,steps:2,word:5,work:442,nodes:26,pairs:12,completionMax:45us [11m11s] 20233 ab:aba=a,baab=bbb infinite b/a - - ab:babbb=bbb,bbbab=bbb,aab=abbb,aba=a,abbba=aa,baa=bbba,aaa=abbbbba [11m11s] # 20234 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:3,work:250,nodes:24,pairs:6,completionMax:21us [11m11s] 20234 ab:aba=a,babb=aaa infinite a/b - - ab:aaaaaaaa=aaa,baaa=aaaaaaa,aba=a,abb=aaaa [11m11s] # 20235 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:1,work:421,nodes:20,pairs:14,completionMax:46us [11m11s] 20235 ab:aba=a,babb=aab infinite a/b - - ab:aaaaa=aa,baa=aaaa,aba=a,abb=aaab [11m11s] # 20236 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:1,work:98,nodes:12,pairs:7,completionMax:20us [11m11s] 20236 ab:aba=a,babb=aba infinite a/b - - ab:aaaa=a,ba=aaa,abb=aa [11m11s] from: 20236 ab:aba=a,babb=aba infinite to: 1655 ab:aab=bb,bba=b infinite anti:a=b,b=a [11m11s] # 20237 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:47,nodes:16,pairs:1,completionMax:13us [11m11s] 20237 ab:aba=a,babb=abb infinite ab - - ab:aba=a,aabb=abb,babb=abb [11m11s] # 20238 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:33,nodes:12,pairs:2,completionMax:7us [11m11s] 20238 ab:aba=a,babb=baa infinite ab - - ab:aba=a,abb=aa [11m11s] from: 20238 ab:aba=a,babb=baa infinite to: 19669 ab:aba=a,ababb=aa infinite a=a,b=b [11m11s] # 20239 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:12,pairs:1,completionMax:7us [11m11s] 20239 ab:aba=a,babb=bab infinite ab - - ab:aba=a,abb=ab [11m11s] from: 20239 ab:aba=a,babb=bab infinite to: 19670 ab:aba=a,ababb=ab infinite a=a,b=b [11m11s] # 20240 solved: rounds:2,rules:3,peak:4,longest:6,steps:5,word:2,work:306,nodes:22,pairs:2,completionMax:15us [11m11s] 20240 ab:aba=a,babb=bba infinite b/a - - ab:abbbb=abb,bba=babb,aba=a [11m11s] # 20241 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:215,nodes:18,pairs:2,completionMax:18us [11m11s] 20241 ab:aba=a,babb=bbb infinite ab - - ab:aba=a,abbb=abb,babb=bbb,bbbb=bbb [11m11s] # 20242 solved: rounds:4,rules:5,peak:7,longest:10,steps:4,word:5,work:1324,nodes:38,pairs:13,completionMax:115us [11m11s] 20242 ab:aba=a,bbbb=aaa infinite a/b - - ab:aaaaaaaaaa=aaa,baaa=aaaaaaaaa,aba=a,aaab=aaaaaaaaa,bbbb=aaa [11m11s] # 20243 solved: rounds:3,rules:5,peak:5,longest:9,steps:2,word:3,work:563,nodes:28,pairs:15,completionMax:59us [11m11s] 20243 ab:aba=a,bbbb=aab infinite b/a - - ab:bbbbbbbbb=bbbb,abbbb=bbbbbbbb,bbbbab=bbbb,aa=bbbba,aba=a [11m11s] # 20244 solved: rounds:1,rules:2,peak:2,longest:9,steps:2,word:6,work:107,nodes:18,pairs:2,completionMax:14us [11m11s] 20244 ab:aba=a,bbbb=aba finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 b/a - - ab:bbbbbbbbb=bbbb,a=bbbb [11m11s] from: 20244 ab:aba=a,bbbb=aba finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b4;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbb,bbbbb;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=bbbb,b=b [11m11s] # 20245 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:1,work:116,nodes:18,pairs:1,completionMax:11us [11m11s] 20245 ab:aba=a,bbbb=abb infinite b/a - - ab:bbbbbbb=bbbb,abb=bbbb,aba=a [11m11s] # 20246 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:1,work:339,nodes:24,pairs:4,completionMax:32us [11m11s] 20246 ab:aba=a,bbbb=bab infinite b/a - - ab:bbbbbbb=bbbb,abbbb=ab,bab=bbbb,bbbba=ba,aba=a [11m11s] # 20247 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:54,nodes:12,pairs:0,completionMax:4us [11m11s] 20247 ab:aba=a,bbbb=bbb infinite ab - - ab:aba=a,bbbb=bbb [11m11s] # 20248 solved: rounds:3,rules:3,peak:7,longest:4,steps:4,word:0,work:486,nodes:18,pairs:15,completionMax:54us [11m11s] 20248 ab:aba=b,aaaa=aaa infinite;commutative:ab:ab=b,a4=a3;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b,aaaa=aaa [11m11s] # 20249 solved: rounds:2,rules:2,peak:5,longest:7,steps:7,word:6,work:748,nodes:24,pairs:12,completionMax:54us [11m11s] 20249 ab:aba=b,aaaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaa [11m11s] from: 20249 ab:aba=b,aaaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbb [11m11s] # 20250 solved: rounds:1,rules:2,peak:2,longest:6,steps:3,word:6,work:113,nodes:12,pairs:2,completionMax:11us [11m11s] 20250 ab:aba=b,aaaa=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aaaa [11m11s] from: 20250 ab:aba=b,aaaa=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaa,aaaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bbbb [11m11s] # 20251 solved: rounds:4,rules:4,peak:9,longest:10,steps:23,word:8,work:2064,nodes:36,pairs:22,completionMax:117us [11m11s] 20251 ab:aba=b,aaaa=abb finite:16;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa a/b - - ab:aaaaaaaaaa=aaaa,baaaaaa=b,ab=baaaaa,bb=aaaaaaaaa [11m11s] # 20252 solved: rounds:6,rules:4,peak:6,longest:14,steps:19,word:12,work:1741,nodes:48,pairs:14,completionMax:123us [11m11s] 20252 ab:aba=b,aaaa=bab finite:24;idempotents:1,aaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=aaaa,baaaaaaaaaa=b,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 20253 solved: rounds:3,rules:4,peak:11,longest:5,steps:8,word:0,work:1428,nodes:30,pairs:34,completionMax:122us [11m11s] 20253 ab:aba=b,aaaa=bbb finite:10;idempotents:1,bbb;center:1,a,b,aa,ab,bb,aaa,abb,bbb,abbb;commutative:ab:a2b=b,a4=b3,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,aaaa=bbb,bbbb=b [11m11s] # 20254 solved: rounds:2,rules:2,peak:6,longest:5,steps:12,word:4,work:686,nodes:20,pairs:13,completionMax:52us [11m11s] 20254 ab:aba=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [11m11s] from: 20254 ab:aba=b,aaab=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [11m11s] # 20255 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:107,nodes:14,pairs:6,completionMax:21us [11m11s] 20255 ab:aba=b,aaab=aab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 20255 ab:aba=b,aaab=aab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 20256 solved: rounds:3,rules:2,peak:4,longest:4,steps:4,word:1,work:89,nodes:10,pairs:9,completionMax:23us [11m11s] 20256 ab:aba=b,aaab=aba infinite a/b - - ab:baaa=b,ab=baa [11m11s] from: 20256 ab:aba=b,aaab=aba infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [11m11s] # 20257 solved: rounds:4,rules:3,peak:9,longest:4,steps:4,word:0,work:769,nodes:20,pairs:21,completionMax:74us [11m11s] 20257 ab:aba=b,aaab=abb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20257 ab:aba=b,aaab=abb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20258 solved: rounds:3,rules:2,peak:4,longest:6,steps:8,word:5,work:165,nodes:14,pairs:9,completionMax:22us [11m11s] 20258 ab:aba=b,aaab=baa infinite a/b - - ab:baaaaa=b,ab=baaaa [11m11s] from: 20258 ab:aba=b,aaab=baa infinite to: 19163 ab:aba=b,aaaaab=b infinite a=a,b=b [11m11s] # 20259 solved: rounds:4,rules:3,peak:7,longest:4,steps:3,word:0,work:545,nodes:16,pairs:18,completionMax:48us [11m11s] 20259 ab:aba=b,aaab=bab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20259 ab:aba=b,aaab=bab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20260 solved: rounds:4,rules:3,peak:9,longest:4,steps:4,word:0,work:781,nodes:20,pairs:21,completionMax:76us [11m11s] 20260 ab:aba=b,aaab=bba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20260 ab:aba=b,aaab=bba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20261 solved: rounds:4,rules:3,peak:12,longest:16,steps:10,word:12,work:3948,nodes:56,pairs:30,completionMax:214us [11m11s] 20261 ab:aba=b,aaab=bbb infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 20261 ab:aba=b,aaab=bbb infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 20262 solved: rounds:2,rules:2,peak:3,longest:7,steps:3,word:4,work:357,nodes:14,pairs:4,completionMax:28us [11m11s] 20262 ab:aba=b,aaba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aaaa [11m11s] from: 20262 ab:aba=b,aaba=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aaaa [11m11s] # 20263 solved: rounds:2,rules:2,peak:4,longest:3,steps:1,word:0,work:43,nodes:12,pairs:4,completionMax:14us [11m11s] 20263 ab:aba=b,aaba=aab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 20263 ab:aba=b,aaba=aab infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 20264 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:18,nodes:6,pairs:2,completionMax:7us [11m11s] 20264 ab:aba=b,aaba=aba infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:ab=b,ba=b [11m11s] from: 20264 ab:aba=b,aaba=aba infinite;commutative:ab:ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=b,b=a [11m11s] # 20265 solved: rounds:3,rules:3,peak:7,longest:3,steps:2,word:0,work:308,nodes:14,pairs:10,completionMax:36us [11m11s] 20265 ab:aba=b,aaba=abb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20265 ab:aba=b,aaba=abb infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20266 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:3,work:61,nodes:10,pairs:3,completionMax:15us [11m11s] 20266 ab:aba=b,aaba=baa infinite a/b - - ab:baaa=b,ab=baa [11m11s] from: 20266 ab:aba=b,aaba=baa infinite to: 1635 ab:aab=ba,aba=b infinite a=a,b=b [11m11s] # 20267 solved: rounds:1,rules:3,peak:5,longest:3,steps:2,word:0,work:120,nodes:12,pairs:4,completionMax:20us [11m11s] 20267 ab:aba=b,aaba=bab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20267 ab:aba=b,aaba=bab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20268 solved: rounds:3,rules:3,peak:7,longest:3,steps:2,word:0,work:328,nodes:14,pairs:14,completionMax:36us [11m11s] 20268 ab:aba=b,aaba=bba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20268 ab:aba=b,aaba=bba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20269 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:196,nodes:14,pairs:4,completionMax:22us [11m11s] 20269 ab:aba=b,aaba=bbb infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 20269 ab:aba=b,aaba=bbb infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 20270 solved: rounds:3,rules:4,peak:7,longest:5,steps:6,word:3,work:403,nodes:14,pairs:14,completionMax:55us [11m11s] 20270 ab:aba=b,aabb=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [11m11s] from: 20270 ab:aba=b,aabb=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20271 solved: rounds:4,rules:3,peak:9,longest:4,steps:4,word:0,work:845,nodes:22,pairs:27,completionMax:90us [11m11s] 20271 ab:aba=b,aabb=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20271 ab:aba=b,aabb=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20272 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:285,nodes:18,pairs:12,completionMax:41us [11m11s] 20272 ab:aba=b,aabb=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20272 ab:aba=b,aabb=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20273 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:171,nodes:20,pairs:6,completionMax:17us [11m11s] 20273 ab:aba=b,aabb=abb infinite ab - - ab:aba=b,bba=abb,aabb=abb,abbb=bbb,babb=bbb [11m11s] # 20274 solved: rounds:5,rules:3,peak:9,longest:4,steps:6,word:0,work:903,nodes:20,pairs:17,completionMax:80us [11m11s] 20274 ab:aba=b,aabb=baa infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20274 ab:aba=b,aabb=baa infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20275 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:62,nodes:14,pairs:2,completionMax:9us [11m11s] 20275 ab:aba=b,aabb=bab infinite ab - - ab:aba=b,bba=abb,aabb=bab [11m11s] # 20276 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:179,nodes:20,pairs:6,completionMax:26us [11m11s] 20276 ab:aba=b,aabb=bba infinite ab - - ab:aba=b,bba=abb,aabb=abb,abbb=bbb,babb=bbb [11m11s] from: 20276 ab:aba=b,aabb=bba infinite to: 20273 ab:aba=b,aabb=abb infinite a=a,b=b [11m11s] # 20277 solved: rounds:2,rules:5,peak:7,longest:5,steps:6,word:0,work:1172,nodes:26,pairs:7,completionMax:59us [11m11s] 20277 ab:aba=b,aabb=bbb infinite ab - - ab:aba=b,bba=abb,aabb=bbb,babb=abbb,bbbb=bbb [11m11s] # 20278 solved: rounds:4,rules:4,peak:4,longest:9,steps:15,word:9,work:434,nodes:30,pairs:9,completionMax:47us [11m11s] 20278 ab:aba=b,abab=aaa finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=baaaaa,bb=aaa [11m11s] from: 20278 ab:aba=b,abab=aaa finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaaaa to: 1603 ab:aaa=bb,aba=b finite:15;idempotents:1,aaaaaa;center:1,aaa,aaaaaa a=a,b=b [11m11s] # 20279 solved: rounds:3,rules:3,peak:6,longest:3,steps:3,word:0,work:243,nodes:14,pairs:14,completionMax:42us [11m11s] 20279 ab:aba=b,abab=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20279 ab:aba=b,abab=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20280 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:53,nodes:8,pairs:2,completionMax:8us [11m11s] 20280 ab:aba=b,abab=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20280 ab:aba=b,abab=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20281 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:26,nodes:10,pairs:1,completionMax:5us [11m11s] 20281 ab:aba=b,abab=abb infinite ab - - ab:aba=b,abb=bb,bba=bb [11m11s] from: 20281 ab:aba=b,abab=abb infinite to: 19725 ab:aba=b,aabab=bb infinite a=a,b=b [11m11s] # 20282 solved: rounds:4,rules:3,peak:6,longest:3,steps:3,word:0,work:267,nodes:12,pairs:13,completionMax:30us [11m11s] 20282 ab:aba=b,abab=baa infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20282 ab:aba=b,abab=baa infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20283 solved: rounds:1,rules:4,peak:4,longest:3,steps:1,word:0,work:49,nodes:12,pairs:3,completionMax:8us [11m11s] 20283 ab:aba=b,abab=bab infinite ab - - ab:aba=b,abb=bb,bab=bb,bba=bb [11m11s] from: 20283 ab:aba=b,abab=bab infinite to: 19737 ab:aba=b,abaab=bb infinite a=a,b=b [11m11s] # 20284 solved: rounds:1,rules:3,peak:3,longest:3,steps:1,word:0,work:26,nodes:10,pairs:1,completionMax:9us [11m11s] 20284 ab:aba=b,abab=bba infinite ab - - ab:aba=b,abb=bb,bba=bb [11m11s] from: 20284 ab:aba=b,abab=bba infinite to: 19725 ab:aba=b,aabab=bb infinite a=a,b=b [11m11s] # 20285 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:260,nodes:18,pairs:3,completionMax:18us [11m11s] 20285 ab:aba=b,abab=bbb infinite ab - - ab:aba=b,bba=abb,bbb=bb,aabb=bb,babb=abb [11m11s] from: 20285 ab:aba=b,abab=bbb infinite to: 19733 ab:aba=b,aabbb=bb infinite a=a,b=b [11m11s] # 20286 solved: rounds:3,rules:4,peak:7,longest:5,steps:5,word:2,work:400,nodes:14,pairs:13,completionMax:67us [11m11s] 20286 ab:aba=b,abba=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb,aaa=bb [11m11s] from: 20286 ab:aba=b,abba=aaa finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1601 ab:aaa=bb,aab=b finite:7;idempotents:1,bbbb;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:b3=ab,a2b=b,a3=b2;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 a=a,b=b [11m11s] # 20287 solved: rounds:5,rules:3,peak:7,longest:4,steps:4,word:0,work:958,nodes:20,pairs:28,completionMax:88us [11m11s] 20287 ab:aba=b,abba=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20287 ab:aba=b,abba=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20288 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:360,nodes:18,pairs:23,completionMax:39us [11m11s] 20288 ab:aba=b,abba=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20288 ab:aba=b,abba=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20289 solved: rounds:2,rules:5,peak:5,longest:4,steps:3,word:0,work:277,nodes:20,pairs:6,completionMax:34us [11m11s] 20289 ab:aba=b,abba=abb infinite ab - - ab:aba=b,bba=abb,aabb=abb,abbb=bbb,babb=bbb [11m11s] from: 20289 ab:aba=b,abba=abb infinite to: 20273 ab:aba=b,aabb=abb infinite a=a,b=b [11m11s] # 20290 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:113,nodes:14,pairs:5,completionMax:12us [11m11s] 20290 ab:aba=b,abba=bab infinite ab - - ab:aba=b,bba=abb,aabb=bab [11m11s] from: 20290 ab:aba=b,abba=bab infinite to: 20275 ab:aba=b,aabb=bab infinite a=a,b=b [11m11s] # 20291 solved: rounds:2,rules:5,peak:6,longest:5,steps:6,word:0,work:804,nodes:24,pairs:16,completionMax:56us [11m11s] 20291 ab:aba=b,abba=bbb infinite ab - - ab:aba=b,bba=abb,aabb=bbb,babb=abbb,bbbb=bbb [11m11s] from: 20291 ab:aba=b,abba=bbb infinite to: 20277 ab:aba=b,aabb=bbb infinite a=a,b=b [11m11s] # 20292 solved: rounds:3,rules:4,peak:10,longest:5,steps:7,word:1,work:1393,nodes:20,pairs:18,completionMax:114us [11m11s] 20292 ab:aba=b,abbb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a/b - - ab:aaaaa=aaa,baa=b,ab=ba,bbb=aaaa [11m11s] from: 20292 ab:aba=b,abbb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 20136 ab:aab=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 20293 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:2,work:167,nodes:14,pairs:9,completionMax:34us [11m11s] 20293 ab:aba=b,abbb=aab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 20293 ab:aba=b,abbb=aab infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 20294 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:180,nodes:14,pairs:9,completionMax:30us [11m11s] 20294 ab:aba=b,abbb=aba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 20294 ab:aba=b,abbb=aba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 20295 solved: rounds:2,rules:6,peak:6,longest:4,steps:3,word:0,work:511,nodes:22,pairs:5,completionMax:30us [11m11s] 20295 ab:aba=b,abbb=abb infinite ab - - ab:aba=b,bba=abb,aabb=bbb,abbb=abb,babb=abb,bbbb=bbb [11m11s] # 20296 solved: rounds:5,rules:3,peak:17,longest:10,steps:8,word:4,work:8218,nodes:40,pairs:45,completionMax:412us [11m11s] 20296 ab:aba=b,abbb=baa infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 20296 ab:aba=b,abbb=baa infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 20297 solved: rounds:3,rules:5,peak:7,longest:5,steps:4,word:0,work:1058,nodes:22,pairs:17,completionMax:75us [11m11s] 20297 ab:aba=b,abbb=bab infinite ab - - ab:aba=b,bab=abb,bba=abb,bbb=bb,aabb=bb [11m11s] # 20298 solved: rounds:2,rules:6,peak:6,longest:4,steps:4,word:0,work:639,nodes:22,pairs:11,completionMax:29us [11m11s] 20298 ab:aba=b,abbb=bba infinite ab - - ab:aba=b,bba=abb,aabb=bbb,abbb=abb,babb=abb,bbbb=bbb [11m11s] from: 20298 ab:aba=b,abbb=bba infinite to: 20295 ab:aba=b,abbb=abb infinite a=a,b=b [11m11s] 20299 ab:aba=b,abbb=bbb hard definitely-infinite [11m11s] # 20300 solved: rounds:6,rules:4,peak:7,longest:13,steps:19,word:14,work:2622,nodes:52,pairs:21,completionMax:136us [11m11s] 20300 ab:aba=b,baab=aaa finite:23;idempotents:1,aaaaaaaaaa;center:1,aaaaa,aaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=aaa,baaaaaaaaaa=b,ab=baaaaaaaaa,bb=aaaaa [11m11s] # 20301 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:344,nodes:18,pairs:18,completionMax:37us [11m11s] 20301 ab:aba=b,baab=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20301 ab:aba=b,baab=aab infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20302 solved: rounds:2,rules:3,peak:4,longest:4,steps:3,word:0,work:138,nodes:12,pairs:10,completionMax:22us [11m11s] 20302 ab:aba=b,baab=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 ab - - ab:ba=ab,bb=b,aab=b [11m11s] from: 20302 ab:aba=b,baab=aba infinite;commutative:ab:b2=b,a2b=b;saturation:a:a2=1;noncancellative:b,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=b,b=a [11m11s] # 20303 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:127,nodes:18,pairs:4,completionMax:15us [11m11s] 20303 ab:aba=b,baab=abb infinite ab - - ab:aba=b,bba=abb,aabb=bab,baab=abb [11m11s] # 20304 solved: rounds:2,rules:5,peak:5,longest:4,steps:2,word:0,work:142,nodes:14,pairs:9,completionMax:19us [11m11s] 20304 ab:aba=b,baab=bab infinite ab - - ab:aba=b,abb=bb,bab=bb,bba=bb,baab=bb [11m11s] # 20305 solved: rounds:4,rules:6,peak:8,longest:7,steps:4,word:0,work:1512,nodes:26,pairs:26,completionMax:93us [11m11s] 20305 ab:aba=b,baab=bbb infinite ab - - ab:aba=b,bab=abb,bba=abb,bbb=bb,aabb=bb,baab=bb [11m11s] # 20306 solved: rounds:2,rules:4,peak:8,longest:6,steps:6,word:1,work:973,nodes:28,pairs:15,completionMax:70us [11m11s] 20306 ab:aba=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a/b - - ab:aaaaa=aaa,baa=b,ab=ba,bbb=aaaa [11m11s] from: 20306 ab:aba=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 20136 ab:aab=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 20307 solved: rounds:6,rules:3,peak:13,longest:10,steps:12,word:6,work:6946,nodes:44,pairs:40,completionMax:306us [11m11s] 20307 ab:aba=b,babb=aab infinite a/b - - ab:baaaaaa=b,ab=baaaaa,bbb=baaa [11m11s] from: 20307 ab:aba=b,babb=aab infinite to: 19175 ab:aba=b,aaabbb=b infinite a=a,b=b [11m11s] # 20308 solved: rounds:2,rules:3,peak:4,longest:5,steps:2,word:1,work:126,nodes:14,pairs:8,completionMax:25us [11m11s] 20308 ab:aba=b,babb=aba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 20308 ab:aba=b,babb=aba infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 20309 solved: rounds:2,rules:6,peak:6,longest:4,steps:3,word:0,work:485,nodes:22,pairs:8,completionMax:44us [11m11s] 20309 ab:aba=b,babb=abb infinite ab - - ab:aba=b,bba=abb,aabb=bbb,abbb=abb,babb=abb,bbbb=bbb [11m11s] from: 20309 ab:aba=b,babb=abb infinite to: 20295 ab:aba=b,abbb=abb infinite a=a,b=b [11m11s] # 20310 solved: rounds:3,rules:3,peak:5,longest:8,steps:3,word:2,work:353,nodes:22,pairs:7,completionMax:54us [11m11s] 20310 ab:aba=b,babb=baa infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 b/a - - ab:bbbbb=b,ab=bbb,ba=bbb [11m11s] from: 20310 ab:aba=b,babb=baa infinite;commutative:ab:b3=ab,a2b=b;saturation:a:a4=1;noncancellative:bb,a,ab,b;smith:4 to: 1594 ab:aaa=ab,bab=a infinite;commutative:ab:a3=ab,ab2=a;saturation:a:a4=1;noncancellative:bb,1,ab,ab;smith:4 a=b,b=a [11m11s] # 20311 solved: rounds:2,rules:5,peak:6,longest:4,steps:4,word:0,work:440,nodes:18,pairs:6,completionMax:26us [11m11s] 20311 ab:aba=b,babb=bab infinite ab - - ab:aba=b,bab=abb,bba=abb,bbb=bb,aabb=bb [11m11s] from: 20311 ab:aba=b,babb=bab infinite to: 20297 ab:aba=b,abbb=bab infinite a=a,b=b [11m11s] # 20312 solved: rounds:2,rules:6,peak:7,longest:5,steps:4,word:0,work:871,nodes:24,pairs:10,completionMax:39us [11m11s] 20312 ab:aba=b,babb=bba infinite ab - - ab:aba=b,bba=abb,aabb=bbb,abbb=abb,babb=abb,bbbb=bbb [11m11s] from: 20312 ab:aba=b,babb=bba infinite to: 20295 ab:aba=b,abbb=abb infinite a=a,b=b [11m11s] 20313 ab:aba=b,babb=bbb hard definitely-infinite [11m11s] # 20314 solved: rounds:5,rules:4,peak:5,longest:64,steps:116,word:56,work:11890,nodes:144,pairs:14,completionMax:696us [11m11s] 20314 ab:aba=b,bbbb=aaa finite:27;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa a/b - - ab:aaaaaaaaa=aaa,baaaaaa=b,ab=baaaaa,bbbb=aaa [11m11s] # 20315 solved: rounds:4,rules:3,peak:8,longest:4,steps:4,word:0,work:598,nodes:22,pairs:14,completionMax:73us [11m11s] 20315 ab:aba=b,bbbb=aab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 20315 ab:aba=b,bbbb=aab infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 20316 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:94,nodes:12,pairs:5,completionMax:19us [11m11s] 20316 ab:aba=b,bbbb=aba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 ab - - ab:ba=ab,aab=b,bbbb=b [11m11s] from: 20316 ab:aba=b,bbbb=aba infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 2123 ab:aba=b,bbbb=b infinite;commutative:ab:a2b=b,b4=b;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=b [11m11s] # 20317 solved: rounds:1,rules:4,peak:4,longest:7,steps:2,word:1,work:135,nodes:18,pairs:2,completionMax:13us [11m11s] 20317 ab:aba=b,bbbb=abb infinite b/a - - ab:bbbbbbb=bbb,abb=bbbb,bba=bbbb,aba=b [11m11s] # 20318 solved: rounds:4,rules:5,peak:8,longest:7,steps:5,word:2,work:1513,nodes:30,pairs:13,completionMax:130us [11m11s] 20318 ab:aba=b,bbbb=bab infinite b/a - - ab:bbbbbb=bb,abb=bbbb,bab=bbbb,bba=bbbb,aba=b [11m11s] 20319 ab:aba=b,bbbb=bbb hard definitely-infinite [11m11s] # 20320 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:14,pairs:1,completionMax:8us [11m11s] 20320 ab:ab=aa,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20320 ab:ab=aa,aaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20321 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:4us [11m11s] 20321 ab:ab=aa,aaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20321 ab:ab=aa,aaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20322 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:5us [11m11s] 20322 ab:ab=aa,aaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20322 ab:ab=aa,aaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20323 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:4us [11m11s] 20323 ab:ab=aa,aaaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20323 ab:ab=aa,aaaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20324 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:5us [11m11s] 20324 ab:ab=aa,aaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20324 ab:ab=aa,aaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20325 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20325 ab:ab=aa,aaaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20325 ab:ab=aa,aaaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20326 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:8us [11m11s] 20326 ab:ab=aa,aaaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20326 ab:ab=aa,aaaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20327 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20327 ab:ab=aa,aaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20327 ab:ab=aa,aaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20328 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:6us [11m11s] 20328 ab:ab=aa,aaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20328 ab:ab=aa,aaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20329 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20329 ab:ab=aa,aaabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20329 ab:ab=aa,aaabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20330 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:5us [11m11s] 20330 ab:ab=aa,aaababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20330 ab:ab=aa,aaababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20331 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:6us [11m11s] 20331 ab:ab=aa,aaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20331 ab:ab=aa,aaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20332 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:9us [11m11s] 20332 ab:ab=aa,aaabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20332 ab:ab=aa,aaabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20333 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:5us [11m11s] 20333 ab:ab=aa,aaabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20333 ab:ab=aa,aaabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20334 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:7us [11m11s] 20334 ab:ab=aa,aaabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20334 ab:ab=aa,aaabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20335 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:8us [11m11s] 20335 ab:ab=aa,aaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20335 ab:ab=aa,aaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20336 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:9us [11m11s] 20336 ab:ab=aa,aabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20336 ab:ab=aa,aabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20337 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:5us [11m11s] 20337 ab:ab=aa,aabaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20337 ab:ab=aa,aabaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20338 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20338 ab:ab=aa,aabaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20338 ab:ab=aa,aabaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20339 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20339 ab:ab=aa,aabaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20339 ab:ab=aa,aabaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20340 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20340 ab:ab=aa,aababaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20340 ab:ab=aa,aababaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20341 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:9us [11m11s] 20341 ab:ab=aa,aababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20341 ab:ab=aa,aababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20342 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:6us [11m11s] 20342 ab:ab=aa,aababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20342 ab:ab=aa,aababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20343 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:6us [11m11s] 20343 ab:ab=aa,aababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20343 ab:ab=aa,aababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20344 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20344 ab:ab=aa,aabbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20344 ab:ab=aa,aabbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20345 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:6us [11m11s] 20345 ab:ab=aa,aabbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20345 ab:ab=aa,aabbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20346 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20346 ab:ab=aa,aabbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20346 ab:ab=aa,aabbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20347 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:6us [11m11s] 20347 ab:ab=aa,aabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20347 ab:ab=aa,aabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20348 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:9us [11m11s] 20348 ab:ab=aa,aabbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20348 ab:ab=aa,aabbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20349 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:8us [11m11s] 20349 ab:ab=aa,aabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20349 ab:ab=aa,aabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20350 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:7us [11m11s] 20350 ab:ab=aa,aabbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20350 ab:ab=aa,aabbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20351 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:6us [11m11s] 20351 ab:ab=aa,aabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20351 ab:ab=aa,aabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20352 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:7us [11m11s] 20352 ab:ab=aa,abaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20352 ab:ab=aa,abaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20353 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:9us [11m11s] 20353 ab:ab=aa,abaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20353 ab:ab=aa,abaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20354 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:7us [11m11s] 20354 ab:ab=aa,abaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20354 ab:ab=aa,abaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20355 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20355 ab:ab=aa,abaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20355 ab:ab=aa,abaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20356 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20356 ab:ab=aa,abaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20356 ab:ab=aa,abaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20357 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:9us [11m11s] 20357 ab:ab=aa,abaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20357 ab:ab=aa,abaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20358 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:5us [11m11s] 20358 ab:ab=aa,abaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20358 ab:ab=aa,abaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20359 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:8us [11m11s] 20359 ab:ab=aa,abaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20359 ab:ab=aa,abaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20360 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:8us [11m11s] 20360 ab:ab=aa,ababaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20360 ab:ab=aa,ababaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20361 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:9us [11m11s] 20361 ab:ab=aa,ababaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20361 ab:ab=aa,ababaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20362 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20362 ab:ab=aa,abababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20362 ab:ab=aa,abababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20363 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:5us [11m11s] 20363 ab:ab=aa,abababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20363 ab:ab=aa,abababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20364 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:5us [11m11s] 20364 ab:ab=aa,ababbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20364 ab:ab=aa,ababbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20365 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:7us [11m11s] 20365 ab:ab=aa,ababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20365 ab:ab=aa,ababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20366 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:9us [11m11s] 20366 ab:ab=aa,ababbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20366 ab:ab=aa,ababbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20367 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:9us [11m11s] 20367 ab:ab=aa,ababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20367 ab:ab=aa,ababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20368 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:21,nodes:14,pairs:1,completionMax:6us [11m11s] 20368 ab:ab=aa,abbaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20368 ab:ab=aa,abbaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20369 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:7us [11m11s] 20369 ab:ab=aa,abbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20369 ab:ab=aa,abbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20370 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:9us [11m11s] 20370 ab:ab=aa,abbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20370 ab:ab=aa,abbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20371 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:7us [11m11s] 20371 ab:ab=aa,abbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20371 ab:ab=aa,abbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20372 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20372 ab:ab=aa,abbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20372 ab:ab=aa,abbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20373 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:7us [11m11s] 20373 ab:ab=aa,abbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20373 ab:ab=aa,abbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20374 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:9us [11m11s] 20374 ab:ab=aa,abbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20374 ab:ab=aa,abbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20375 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:7us [11m11s] 20375 ab:ab=aa,abbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20375 ab:ab=aa,abbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20376 solved: rounds:1,rules:2,peak:3,longest:7,steps:3,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20376 ab:ab=aa,abbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20376 ab:ab=aa,abbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20377 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:7us [11m11s] 20377 ab:ab=aa,abbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20377 ab:ab=aa,abbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20378 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:6us [11m11s] 20378 ab:ab=aa,abbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20378 ab:ab=aa,abbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20379 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:6us [11m11s] 20379 ab:ab=aa,abbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20379 ab:ab=aa,abbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20380 solved: rounds:1,rules:2,peak:3,longest:7,steps:4,word:0,work:35,nodes:14,pairs:1,completionMax:5us [11m11s] 20380 ab:ab=aa,abbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20380 ab:ab=aa,abbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20381 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:8us [11m11s] 20381 ab:ab=aa,abbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20381 ab:ab=aa,abbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20382 solved: rounds:1,rules:2,peak:3,longest:7,steps:5,word:0,work:42,nodes:14,pairs:1,completionMax:6us [11m11s] 20382 ab:ab=aa,abbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20382 ab:ab=aa,abbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20383 solved: rounds:1,rules:2,peak:3,longest:7,steps:6,word:0,work:49,nodes:14,pairs:1,completionMax:9us [11m11s] 20383 ab:ab=aa,abbbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20383 ab:ab=aa,abbbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20384 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:88,nodes:28,pairs:3,completionMax:29us [11m11s] 20384 ab:ab=aa,baaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20384 ab:ab=aa,baaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20385 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:95,nodes:28,pairs:3,completionMax:30us [11m11s] 20385 ab:ab=aa,baaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20385 ab:ab=aa,baaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20386 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:95,nodes:28,pairs:3,completionMax:30us [11m11s] 20386 ab:ab=aa,baaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20386 ab:ab=aa,baaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20387 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:22us [11m11s] 20387 ab:ab=aa,baaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20387 ab:ab=aa,baaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20388 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:95,nodes:28,pairs:3,completionMax:30us [11m11s] 20388 ab:ab=aa,baaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20388 ab:ab=aa,baaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20389 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:30us [11m11s] 20389 ab:ab=aa,baaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20389 ab:ab=aa,baaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20390 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:23us [11m11s] 20390 ab:ab=aa,baaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20390 ab:ab=aa,baaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20391 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:29us [11m11s] 20391 ab:ab=aa,baaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20391 ab:ab=aa,baaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20392 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:95,nodes:28,pairs:3,completionMax:18us [11m11s] 20392 ab:ab=aa,baabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20392 ab:ab=aa,baabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20393 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:17us [11m11s] 20393 ab:ab=aa,baabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20393 ab:ab=aa,baabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20394 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:31us [11m11s] 20394 ab:ab=aa,baababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20394 ab:ab=aa,baababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20395 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:30us [11m11s] 20395 ab:ab=aa,baababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20395 ab:ab=aa,baababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20396 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:26us [11m11s] 20396 ab:ab=aa,baabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20396 ab:ab=aa,baabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20397 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:29us [11m11s] 20397 ab:ab=aa,baabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20397 ab:ab=aa,baabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20398 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:22us [11m11s] 20398 ab:ab=aa,baabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20398 ab:ab=aa,baabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20399 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:116,nodes:28,pairs:3,completionMax:22us [11m11s] 20399 ab:ab=aa,baabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20399 ab:ab=aa,baabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20400 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:95,nodes:28,pairs:3,completionMax:26us [11m11s] 20400 ab:ab=aa,babaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20400 ab:ab=aa,babaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20401 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:23us [11m11s] 20401 ab:ab=aa,babaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20401 ab:ab=aa,babaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20402 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:22us [11m11s] 20402 ab:ab=aa,babaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20402 ab:ab=aa,babaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20403 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:17us [11m11s] 20403 ab:ab=aa,babaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20403 ab:ab=aa,babaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20404 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:27us [11m11s] 20404 ab:ab=aa,bababaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20404 ab:ab=aa,bababaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20405 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:26us [11m11s] 20405 ab:ab=aa,bababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20405 ab:ab=aa,bababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20406 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:21us [11m11s] 20406 ab:ab=aa,bababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20406 ab:ab=aa,bababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20407 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:116,nodes:28,pairs:3,completionMax:23us [11m11s] 20407 ab:ab=aa,bababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20407 ab:ab=aa,bababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20408 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:102,nodes:28,pairs:3,completionMax:23us [11m11s] 20408 ab:ab=aa,babbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20408 ab:ab=aa,babbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20409 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:26us [11m11s] 20409 ab:ab=aa,babbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20409 ab:ab=aa,babbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20410 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:18us [11m11s] 20410 ab:ab=aa,babbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20410 ab:ab=aa,babbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20411 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:116,nodes:28,pairs:3,completionMax:31us [11m11s] 20411 ab:ab=aa,babbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20411 ab:ab=aa,babbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20412 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:109,nodes:28,pairs:3,completionMax:23us [11m11s] 20412 ab:ab=aa,babbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20412 ab:ab=aa,babbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20413 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:116,nodes:28,pairs:3,completionMax:22us [11m11s] 20413 ab:ab=aa,babbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20413 ab:ab=aa,babbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20414 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:116,nodes:28,pairs:3,completionMax:26us [11m11s] 20414 ab:ab=aa,babbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20414 ab:ab=aa,babbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20415 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:0,work:123,nodes:28,pairs:3,completionMax:18us [11m11s] 20415 ab:ab=aa,babbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20415 ab:ab=aa,babbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20416 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:140,nodes:28,pairs:4,completionMax:33us [11m11s] 20416 ab:ab=aa,bbaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20416 ab:ab=aa,bbaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20417 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:147,nodes:28,pairs:4,completionMax:25us [11m11s] 20417 ab:ab=aa,bbaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20417 ab:ab=aa,bbaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20418 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:147,nodes:28,pairs:4,completionMax:21us [11m11s] 20418 ab:ab=aa,bbaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20418 ab:ab=aa,bbaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20419 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:31us [11m11s] 20419 ab:ab=aa,bbaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20419 ab:ab=aa,bbaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20420 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:147,nodes:28,pairs:4,completionMax:20us [11m11s] 20420 ab:ab=aa,bbaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20420 ab:ab=aa,bbaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20421 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:20us [11m11s] 20421 ab:ab=aa,bbaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20421 ab:ab=aa,bbaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20422 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:32us [11m11s] 20422 ab:ab=aa,bbaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20422 ab:ab=aa,bbaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20423 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:161,nodes:28,pairs:4,completionMax:24us [11m11s] 20423 ab:ab=aa,bbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20423 ab:ab=aa,bbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20424 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:147,nodes:28,pairs:4,completionMax:24us [11m11s] 20424 ab:ab=aa,bbabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20424 ab:ab=aa,bbabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20425 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:32us [11m11s] 20425 ab:ab=aa,bbabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20425 ab:ab=aa,bbabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20426 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:30us [11m11s] 20426 ab:ab=aa,bbababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20426 ab:ab=aa,bbababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20427 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:161,nodes:28,pairs:4,completionMax:27us [11m11s] 20427 ab:ab=aa,bbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20427 ab:ab=aa,bbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20428 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:154,nodes:28,pairs:4,completionMax:27us [11m11s] 20428 ab:ab=aa,bbabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20428 ab:ab=aa,bbabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20429 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:161,nodes:28,pairs:4,completionMax:24us [11m11s] 20429 ab:ab=aa,bbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20429 ab:ab=aa,bbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20430 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:161,nodes:28,pairs:4,completionMax:26us [11m11s] 20430 ab:ab=aa,bbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20430 ab:ab=aa,bbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20431 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:168,nodes:28,pairs:4,completionMax:30us [11m11s] 20431 ab:ab=aa,bbabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20431 ab:ab=aa,bbabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20432 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:199,nodes:28,pairs:5,completionMax:30us [11m11s] 20432 ab:ab=aa,bbbaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20432 ab:ab=aa,bbbaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20433 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:206,nodes:28,pairs:5,completionMax:24us [11m11s] 20433 ab:ab=aa,bbbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20433 ab:ab=aa,bbbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20434 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:206,nodes:28,pairs:5,completionMax:28us [11m11s] 20434 ab:ab=aa,bbbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20434 ab:ab=aa,bbbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20435 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:213,nodes:28,pairs:5,completionMax:29us [11m11s] 20435 ab:ab=aa,bbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20435 ab:ab=aa,bbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20436 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:206,nodes:28,pairs:5,completionMax:23us [11m11s] 20436 ab:ab=aa,bbbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20436 ab:ab=aa,bbbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20437 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:213,nodes:28,pairs:5,completionMax:41us [11m11s] 20437 ab:ab=aa,bbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20437 ab:ab=aa,bbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20438 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:213,nodes:28,pairs:5,completionMax:26us [11m11s] 20438 ab:ab=aa,bbbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20438 ab:ab=aa,bbbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20439 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:220,nodes:28,pairs:5,completionMax:32us [11m11s] 20439 ab:ab=aa,bbbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20439 ab:ab=aa,bbbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20440 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:262,nodes:28,pairs:6,completionMax:35us [11m11s] 20440 ab:ab=aa,bbbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20440 ab:ab=aa,bbbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20441 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:269,nodes:28,pairs:6,completionMax:26us [11m11s] 20441 ab:ab=aa,bbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20441 ab:ab=aa,bbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20442 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:269,nodes:28,pairs:6,completionMax:37us [11m11s] 20442 ab:ab=aa,bbbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20442 ab:ab=aa,bbbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20443 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:276,nodes:28,pairs:6,completionMax:27us [11m11s] 20443 ab:ab=aa,bbbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20443 ab:ab=aa,bbbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20444 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:0,work:326,nodes:28,pairs:7,completionMax:36us [11m11s] 20444 ab:ab=aa,bbbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20444 ab:ab=aa,bbbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20445 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:0,work:333,nodes:28,pairs:7,completionMax:30us [11m11s] 20445 ab:ab=aa,bbbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20445 ab:ab=aa,bbbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20446 solved: rounds:2,rules:2,peak:4,longest:8,steps:6,word:0,work:388,nodes:28,pairs:8,completionMax:35us [11m11s] 20446 ab:ab=aa,bbbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa ab - - ab:b=a,aaaaaaa=1 [11m11s] from: 20446 ab:ab=aa,bbbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a=b,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaaaa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=b [11m11s] # 20447 solved: rounds:1,rules:3,peak:3,longest:8,steps:6,word:0,work:74,nodes:28,pairs:1,completionMax:9us [11m11s] 20447 ab:ab=aa,bbbbbbb=1 finite:56;idempotents:1,aaaaaaa,baaaaaa,bbaaaaa,bbbaaaa,bbbbaaa,bbbbbaa,bbbbbba ab - - ab:ab=aa,bbbbbbb=1,aaaaaaaa=a [11m11s] # 20448 solved: rounds:0,rules:2,peak:2,longest:7,steps:7,word:0,work:55,nodes:16,pairs:0,completionMax:5us [11m11s] 20448 ab:ba=ab,aaaaaaa=1 infinite;commutative:ab:a7=1;saturation:ab:b7=1;cancellative;smith:7,0 ab - - ab:ba=ab,aaaaaaa=1 [11m11s] # 20449 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:55,nodes:16,pairs:0,completionMax:2us [11m11s] 20449 ab:ba=ab,aaaaaab=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa ab - - ab:ba=ab,aaaaaab=1 [11m11s] from: 20449 ab:ba=ab,aaaaaab=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaaa [11m11s] # 20450 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:62,nodes:16,pairs:0,completionMax:2us [11m11s] 20450 ab:ba=ab,aaaaaba=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa ab - - ab:ba=ab,aaaaaab=1 [11m11s] from: 20450 ab:ba=ab,aaaaaba=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaaa [11m11s] # 20451 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:55,nodes:16,pairs:0,completionMax:3us [11m11s] 20451 ab:ba=ab,aaaaabb=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20451 ab:ba=ab,aaaaabb=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20452 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:69,nodes:16,pairs:0,completionMax:3us [11m11s] 20452 ab:ba=ab,aaaabaa=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa ab - - ab:ba=ab,aaaaaab=1 [11m11s] from: 20452 ab:ba=ab,aaaabaa=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaaa [11m11s] # 20453 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:62,nodes:16,pairs:0,completionMax:4us [11m11s] 20453 ab:ba=ab,aaaabab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20453 ab:ba=ab,aaaabab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20454 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:69,nodes:16,pairs:0,completionMax:3us [11m11s] 20454 ab:ba=ab,aaaabba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20454 ab:ba=ab,aaaabba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20455 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:55,nodes:16,pairs:0,completionMax:2us [11m11s] 20455 ab:ba=ab,aaaabbb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20455 ab:ba=ab,aaaabbb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20456 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:76,nodes:16,pairs:0,completionMax:3us [11m11s] 20456 ab:ba=ab,aaabaaa=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa ab - - ab:ba=ab,aaaaaab=1 [11m11s] from: 20456 ab:ba=ab,aaabaaa=1 infinite;commutative:ab:a6b=1;saturation:ab:ab6=1;cancellative;smith:0;group:a-aaaaab,b-aaaaaa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aaaaaa [11m11s] # 20457 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:69,nodes:16,pairs:0,completionMax:5us [11m11s] 20457 ab:ba=ab,aaabaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20457 ab:ba=ab,aaabaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20458 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:76,nodes:16,pairs:0,completionMax:4us [11m11s] 20458 ab:ba=ab,aaababa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20458 ab:ba=ab,aaababa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20459 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:62,nodes:16,pairs:0,completionMax:4us [11m11s] 20459 ab:ba=ab,aaababb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20459 ab:ba=ab,aaababb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20460 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:83,nodes:16,pairs:0,completionMax:4us [11m11s] 20460 ab:ba=ab,aaabbaa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20460 ab:ba=ab,aaabbaa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20461 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:69,nodes:16,pairs:0,completionMax:3us [11m11s] 20461 ab:ba=ab,aaabbab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20461 ab:ba=ab,aaabbab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20462 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:76,nodes:16,pairs:0,completionMax:3us [11m11s] 20462 ab:ba=ab,aaabbba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20462 ab:ba=ab,aaabbba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20463 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:76,nodes:16,pairs:0,completionMax:4us [11m11s] 20463 ab:ba=ab,aabaaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20463 ab:ba=ab,aabaaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20464 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:83,nodes:16,pairs:0,completionMax:2us [11m11s] 20464 ab:ba=ab,aabaaba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20464 ab:ba=ab,aabaaba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20465 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:69,nodes:16,pairs:0,completionMax:4us [11m11s] 20465 ab:ba=ab,aabaabb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20465 ab:ba=ab,aabaabb=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20466 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:4us [11m11s] 20466 ab:ba=ab,aababaa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20466 ab:ba=ab,aababaa=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20467 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:76,nodes:16,pairs:0,completionMax:3us [11m11s] 20467 ab:ba=ab,aababab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20467 ab:ba=ab,aababab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20468 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:83,nodes:16,pairs:0,completionMax:2us [11m11s] 20468 ab:ba=ab,aababba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20468 ab:ba=ab,aababba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20469 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:83,nodes:16,pairs:0,completionMax:1us [11m11s] 20469 ab:ba=ab,aabbaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20469 ab:ba=ab,aabbaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20470 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:2us [11m11s] 20470 ab:ba=ab,aabbaba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20470 ab:ba=ab,aabbaba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20471 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:97,nodes:16,pairs:0,completionMax:2us [11m11s] 20471 ab:ba=ab,aabbbaa=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20471 ab:ba=ab,aabbbaa=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20472 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:76,nodes:16,pairs:0,completionMax:4us [11m11s] 20472 ab:ba=ab,aabbbab=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb ab - - ab:ba=ab,aaabbbb=1 [11m11s] from: 20472 ab:ba=ab,aabbbab=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbbb,b=aaa [11m11s] # 20473 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:83,nodes:16,pairs:0,completionMax:4us [11m11s] 20473 ab:ba=ab,aabbbba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb ab - - ab:ba=ab,aaabbbb=1 [11m11s] from: 20473 ab:ba=ab,aabbbba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbbb,b=aaa [11m11s] # 20474 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:83,nodes:16,pairs:0,completionMax:3us [11m11s] 20474 ab:ba=ab,abaaaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20474 ab:ba=ab,abaaaab=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20475 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:1us [11m11s] 20475 ab:ba=ab,abaaaba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab ab - - ab:ba=ab,aaaaabb=1 [11m11s] from: 20475 ab:ba=ab,abaaaba=1 infinite;commutative:ab:a5b2=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-aaaabb,b-aaaaab to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aa,b=bbbbb [11m11s] # 20476 solved: rounds:0,rules:2,peak:2,longest:7,steps:4,word:0,work:83,nodes:16,pairs:0,completionMax:5us [11m11s] 20476 ab:ba=ab,abaabab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20476 ab:ba=ab,abaabab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20477 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:3us [11m11s] 20477 ab:ba=ab,abaabba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20477 ab:ba=ab,abaabba=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20478 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:1us [11m11s] 20478 ab:ba=ab,ababaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20478 ab:ba=ab,ababaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20479 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:97,nodes:16,pairs:0,completionMax:3us [11m11s] 20479 ab:ba=ab,abababa=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20479 ab:ba=ab,abababa=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20480 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:2us [11m11s] 20480 ab:ba=ab,ababbba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb ab - - ab:ba=ab,aaabbbb=1 [11m11s] from: 20480 ab:ba=ab,ababbba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbbb,b=aaa [11m11s] # 20481 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:97,nodes:16,pairs:0,completionMax:4us [11m11s] 20481 ab:ba=ab,abbaaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb ab - - ab:ba=ab,aaaabbb=1 [11m11s] from: 20481 ab:ba=ab,abbaaab=1 infinite;commutative:ab:a4b3=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aaabbb,b-aaaabb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=aaa,b=bbbb [11m11s] # 20482 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:97,nodes:16,pairs:0,completionMax:2us [11m11s] 20482 ab:ba=ab,abbabba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb ab - - ab:ba=ab,aaabbbb=1 [11m11s] from: 20482 ab:ba=ab,abbabba=1 infinite;commutative:ab:a3b4=1;saturation:ab:a3b4=1;cancellative;smith:0;group:a-aabbbb,b-aaabbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbbb,b=aaa [11m11s] # 20483 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:90,nodes:16,pairs:0,completionMax:3us [11m11s] 20483 ab:ba=ab,abbbbba=1 infinite;commutative:ab:a2b5=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-abbbbb,b-aabbbb ab - - ab:ba=ab,aabbbbb=1 [11m11s] from: 20483 ab:ba=ab,abbbbba=1 infinite;commutative:ab:a2b5=1;saturation:ab:a2b5=1;cancellative;smith:0;group:a-abbbbb,b-aabbbb to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=bbbbb,b=aa [11m11s] # 20484 solved: rounds:2,rules:2,peak:3,longest:14,steps:3,word:7,work:49,nodes:28,pairs:4,completionMax:21us [11m11s] 20484 ab:bb=aa,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20484 ab:bb=aa,aaaaaaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20485 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:28,nodes:28,pairs:4,completionMax:18us [11m11s] 20485 ab:bb=aa,aaaaaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20485 ab:bb=aa,aaaaaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20486 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1515,nodes:42,pairs:15,completionMax:79us [11m11s] 20486 ab:bb=aa,aaaaaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20486 ab:bb=aa,aaaaaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20487 solved: rounds:2,rules:2,peak:5,longest:14,steps:4,word:7,work:519,nodes:38,pairs:12,completionMax:52us [11m11s] 20487 ab:bb=aa,aaaaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20487 ab:bb=aa,aaaaabb=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20488 solved: rounds:2,rules:2,peak:5,longest:14,steps:4,word:7,work:505,nodes:38,pairs:12,completionMax:59us [11m11s] 20488 ab:bb=aa,aaaabaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20488 ab:bb=aa,aaaabaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20489 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1529,nodes:42,pairs:15,completionMax:70us [11m11s] 20489 ab:bb=aa,aaaabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20489 ab:bb=aa,aaaabab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20490 solved: rounds:2,rules:2,peak:3,longest:14,steps:2,word:7,work:42,nodes:28,pairs:4,completionMax:22us [11m11s] 20490 ab:bb=aa,aaaabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20490 ab:bb=aa,aaaabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20491 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:35,nodes:28,pairs:4,completionMax:20us [11m11s] 20491 ab:bb=aa,aaaabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20491 ab:bb=aa,aaaabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20492 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:409,nodes:34,pairs:11,completionMax:51us [11m11s] 20492 ab:bb=aa,aaabaaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20492 ab:bb=aa,aaabaaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20493 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:624,nodes:38,pairs:10,completionMax:58us [11m11s] 20493 ab:bb=aa,aaabaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20493 ab:bb=aa,aaabaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20494 solved: rounds:3,rules:2,peak:8,longest:14,steps:8,word:7,work:960,nodes:52,pairs:22,completionMax:88us [11m11s] 20494 ab:bb=aa,aaababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20494 ab:bb=aa,aaababa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20495 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:416,nodes:34,pairs:11,completionMax:53us [11m11s] 20495 ab:bb=aa,aaababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20495 ab:bb=aa,aaababb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20496 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:624,nodes:38,pairs:10,completionMax:52us [11m11s] 20496 ab:bb=aa,aaabbaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20496 ab:bb=aa,aaabbaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20497 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:35,nodes:28,pairs:4,completionMax:20us [11m11s] 20497 ab:bb=aa,aaabbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20497 ab:bb=aa,aaabbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20498 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1522,nodes:42,pairs:15,completionMax:87us [11m11s] 20498 ab:bb=aa,aaabbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20498 ab:bb=aa,aaabbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20499 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1529,nodes:42,pairs:15,completionMax:88us [11m11s] 20499 ab:bb=aa,aabaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20499 ab:bb=aa,aabaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20500 solved: rounds:2,rules:2,peak:3,longest:14,steps:2,word:7,work:42,nodes:28,pairs:4,completionMax:22us [11m11s] 20500 ab:bb=aa,aabaaba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20500 ab:bb=aa,aabaaba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20501 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:617,nodes:38,pairs:10,completionMax:56us [11m11s] 20501 ab:bb=aa,aabaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20501 ab:bb=aa,aabaabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20502 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:423,nodes:34,pairs:11,completionMax:44us [11m11s] 20502 ab:bb=aa,aababaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20502 ab:bb=aa,aababaa=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20503 solved: rounds:3,rules:2,peak:8,longest:14,steps:8,word:7,work:953,nodes:52,pairs:22,completionMax:86us [11m11s] 20503 ab:bb=aa,aababab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20503 ab:bb=aa,aababab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20504 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:617,nodes:38,pairs:10,completionMax:60us [11m11s] 20504 ab:bb=aa,aababba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20504 ab:bb=aa,aababba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20505 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:35,nodes:28,pairs:4,completionMax:28us [11m11s] 20505 ab:bb=aa,aabbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20505 ab:bb=aa,aabbaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20506 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1522,nodes:42,pairs:15,completionMax:92us [11m11s] 20506 ab:bb=aa,aabbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20506 ab:bb=aa,aabbaba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20507 solved: rounds:2,rules:2,peak:5,longest:14,steps:4,word:7,work:512,nodes:38,pairs:12,completionMax:64us [11m11s] 20507 ab:bb=aa,aabbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20507 ab:bb=aa,aabbbaa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20508 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1522,nodes:42,pairs:15,completionMax:97us [11m11s] 20508 ab:bb=aa,aabbbab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20508 ab:bb=aa,aabbbab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20509 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:35,nodes:28,pairs:4,completionMax:16us [11m11s] 20509 ab:bb=aa,aabbbba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20509 ab:bb=aa,aabbbba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20510 solved: rounds:2,rules:2,peak:3,longest:14,steps:2,word:7,work:56,nodes:28,pairs:5,completionMax:22us [11m11s] 20510 ab:bb=aa,abaaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20510 ab:bb=aa,abaaaab=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20511 solved: rounds:3,rules:2,peak:8,longest:14,steps:25,word:7,work:3616,nodes:52,pairs:22,completionMax:142us [11m11s] 20511 ab:bb=aa,abaaaba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20511 ab:bb=aa,abaaaba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20512 solved: rounds:2,rules:2,peak:4,longest:16,steps:8,word:14,work:668,nodes:32,pairs:11,completionMax:82us [11m11s] 20512 ab:bb=aa,abaabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20512 ab:bb=aa,abaabab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20513 solved: rounds:2,rules:2,peak:5,longest:14,steps:5,word:7,work:545,nodes:38,pairs:8,completionMax:52us [11m11s] 20513 ab:bb=aa,abaabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20513 ab:bb=aa,abaabba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20514 solved: rounds:2,rules:2,peak:5,longest:14,steps:10,word:14,work:1266,nodes:36,pairs:18,completionMax:88us [11m11s] 20514 ab:bb=aa,ababaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20514 ab:bb=aa,ababaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20515 solved: rounds:2,rules:2,peak:4,longest:14,steps:15,word:7,work:499,nodes:30,pairs:8,completionMax:36us [11m11s] 20515 ab:bb=aa,abababa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20515 ab:bb=aa,abababa=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20516 solved: rounds:3,rules:2,peak:8,longest:14,steps:14,word:7,work:2425,nodes:60,pairs:25,completionMax:117us [11m11s] 20516 ab:bb=aa,ababbba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20516 ab:bb=aa,ababbba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20517 solved: rounds:2,rules:2,peak:3,longest:14,steps:1,word:7,work:35,nodes:28,pairs:4,completionMax:22us [11m11s] 20517 ab:bb=aa,abbaaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20517 ab:bb=aa,abbaaab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20518 solved: rounds:2,rules:2,peak:5,longest:22,steps:11,word:14,work:1505,nodes:56,pairs:14,completionMax:99us [11m11s] 20518 ab:bb=aa,abbabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 20518 ab:bb=aa,abbabba=1 finite:14;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=1,a=b8;saturation:a:a14=1;cancellative;smith:14;group:a-bbbbbb,b-bbbbbbbbbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbbb,b=b [11m11s] # 20519 solved: rounds:3,rules:2,peak:6,longest:14,steps:9,word:7,work:1529,nodes:42,pairs:15,completionMax:85us [11m11s] 20519 ab:bb=aa,abbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 20519 ab:bb=aa,abbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a8;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbb [11m11s] # 20520 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:20,nodes:12,pairs:0,completionMax:5us [11m11s] 20520 ab:ab=aa,aaaaaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] # 20521 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:28,nodes:14,pairs:1,completionMax:8us [11m11s] 20521 ab:ab=aa,aaaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20521 ab:ab=aa,aaaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20522 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:5us [11m11s] 20522 ab:ab=aa,aaaaab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20522 ab:ab=aa,aaaaab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20523 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:34,nodes:14,pairs:1,completionMax:6us [11m11s] 20523 ab:ab=aa,aaaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20523 ab:ab=aa,aaaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20524 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:4us [11m11s] 20524 ab:ab=aa,aaaaba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20524 ab:ab=aa,aaaaba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20525 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:34,nodes:14,pairs:1,completionMax:5us [11m11s] 20525 ab:ab=aa,aaaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20525 ab:ab=aa,aaaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20526 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:3us [11m11s] 20526 ab:ab=aa,aaaabb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20526 ab:ab=aa,aaaabb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20527 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:6us [11m11s] 20527 ab:ab=aa,aaaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20527 ab:ab=aa,aaaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20528 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:4us [11m11s] 20528 ab:ab=aa,aaabaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20528 ab:ab=aa,aaabaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20529 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:34,nodes:14,pairs:1,completionMax:8us [11m11s] 20529 ab:ab=aa,aaabaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20529 ab:ab=aa,aaabaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20530 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:5us [11m11s] 20530 ab:ab=aa,aaabab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20530 ab:ab=aa,aaabab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20531 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:9us [11m11s] 20531 ab:ab=aa,aaabab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20531 ab:ab=aa,aaabab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20532 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20532 ab:ab=aa,aaabba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20532 ab:ab=aa,aaabba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20533 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:8us [11m11s] 20533 ab:ab=aa,aaabba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20533 ab:ab=aa,aaabba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20534 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:3us [11m11s] 20534 ab:ab=aa,aaabbb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20534 ab:ab=aa,aaabbb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20535 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:8us [11m11s] 20535 ab:ab=aa,aaabbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20535 ab:ab=aa,aaabbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20536 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:4us [11m11s] 20536 ab:ab=aa,aabaaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20536 ab:ab=aa,aabaaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20537 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:34,nodes:14,pairs:1,completionMax:7us [11m11s] 20537 ab:ab=aa,aabaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20537 ab:ab=aa,aabaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20538 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20538 ab:ab=aa,aabaab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20538 ab:ab=aa,aabaab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20539 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:7us [11m11s] 20539 ab:ab=aa,aabaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20539 ab:ab=aa,aabaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20540 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20540 ab:ab=aa,aababa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20540 ab:ab=aa,aababa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20541 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:8us [11m11s] 20541 ab:ab=aa,aababa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20541 ab:ab=aa,aababa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20542 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:5us [11m11s] 20542 ab:ab=aa,aababb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20542 ab:ab=aa,aababb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20543 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:8us [11m11s] 20543 ab:ab=aa,aababb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20543 ab:ab=aa,aababb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20544 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:5us [11m11s] 20544 ab:ab=aa,aabbaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20544 ab:ab=aa,aabbaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20545 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:7us [11m11s] 20545 ab:ab=aa,aabbaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20545 ab:ab=aa,aabbaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20546 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:3us [11m11s] 20546 ab:ab=aa,aabbab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20546 ab:ab=aa,aabbab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20547 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:6us [11m11s] 20547 ab:ab=aa,aabbab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20547 ab:ab=aa,aabbab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20548 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:8us [11m11s] 20548 ab:ab=aa,aabbba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20548 ab:ab=aa,aabbba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20549 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:7us [11m11s] 20549 ab:ab=aa,aabbba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20549 ab:ab=aa,aabbba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20550 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:0,completionMax:4us [11m11s] 20550 ab:ab=aa,aabbbb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20550 ab:ab=aa,aabbbb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20551 solved: rounds:1,rules:2,peak:2,longest:7,steps:4,word:0,work:52,nodes:14,pairs:1,completionMax:8us [11m11s] 20551 ab:ab=aa,aabbbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20551 ab:ab=aa,aabbbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20552 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:5us [11m11s] 20552 ab:ab=aa,abaaaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20552 ab:ab=aa,abaaaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20553 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:34,nodes:14,pairs:1,completionMax:5us [11m11s] 20553 ab:ab=aa,abaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20553 ab:ab=aa,abaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20554 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:3us [11m11s] 20554 ab:ab=aa,abaaab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20554 ab:ab=aa,abaaab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20555 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:7us [11m11s] 20555 ab:ab=aa,abaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20555 ab:ab=aa,abaaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20556 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20556 ab:ab=aa,abaaba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20556 ab:ab=aa,abaaba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20557 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:8us [11m11s] 20557 ab:ab=aa,abaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20557 ab:ab=aa,abaaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20558 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:5us [11m11s] 20558 ab:ab=aa,abaabb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20558 ab:ab=aa,abaabb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20559 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:8us [11m11s] 20559 ab:ab=aa,abaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20559 ab:ab=aa,abaabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20560 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20560 ab:ab=aa,ababaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20560 ab:ab=aa,ababaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20561 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:7us [11m11s] 20561 ab:ab=aa,ababaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20561 ab:ab=aa,ababaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20562 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:3us [11m11s] 20562 ab:ab=aa,ababab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20562 ab:ab=aa,ababab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20563 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:7us [11m11s] 20563 ab:ab=aa,ababab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20563 ab:ab=aa,ababab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20564 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:5us [11m11s] 20564 ab:ab=aa,ababba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20564 ab:ab=aa,ababba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20565 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:7us [11m11s] 20565 ab:ab=aa,ababba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20565 ab:ab=aa,ababba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20566 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:0,completionMax:4us [11m11s] 20566 ab:ab=aa,ababbb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20566 ab:ab=aa,ababbb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20567 solved: rounds:1,rules:2,peak:2,longest:7,steps:4,word:0,work:52,nodes:14,pairs:1,completionMax:8us [11m11s] 20567 ab:ab=aa,ababbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20567 ab:ab=aa,ababbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20568 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:32,nodes:12,pairs:0,completionMax:4us [11m11s] 20568 ab:ab=aa,abbaaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20568 ab:ab=aa,abbaaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20569 solved: rounds:1,rules:2,peak:2,longest:7,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:6us [11m11s] 20569 ab:ab=aa,abbaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20569 ab:ab=aa,abbaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20570 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:6us [11m11s] 20570 ab:ab=aa,abbaab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20570 ab:ab=aa,abbaab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20571 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:8us [11m11s] 20571 ab:ab=aa,abbaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20571 ab:ab=aa,abbaab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20572 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:5us [11m11s] 20572 ab:ab=aa,abbaba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20572 ab:ab=aa,abbaba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20573 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:6us [11m11s] 20573 ab:ab=aa,abbaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20573 ab:ab=aa,abbaba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20574 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:0,completionMax:4us [11m11s] 20574 ab:ab=aa,abbabb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20574 ab:ab=aa,abbabb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20575 solved: rounds:1,rules:2,peak:2,longest:7,steps:4,word:0,work:52,nodes:14,pairs:1,completionMax:6us [11m11s] 20575 ab:ab=aa,abbabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20575 ab:ab=aa,abbabb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20576 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:38,nodes:12,pairs:0,completionMax:4us [11m11s] 20576 ab:ab=aa,abbbaa=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20576 ab:ab=aa,abbbaa=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20577 solved: rounds:1,rules:2,peak:2,longest:7,steps:3,word:0,work:46,nodes:14,pairs:1,completionMax:6us [11m11s] 20577 ab:ab=aa,abbbaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20577 ab:ab=aa,abbbaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20578 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:0,completionMax:4us [11m11s] 20578 ab:ab=aa,abbbab=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20578 ab:ab=aa,abbbab=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20579 solved: rounds:1,rules:2,peak:2,longest:7,steps:4,word:0,work:52,nodes:14,pairs:1,completionMax:6us [11m11s] 20579 ab:ab=aa,abbbab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20579 ab:ab=aa,abbbab=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20580 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:44,nodes:12,pairs:0,completionMax:3us [11m11s] 20580 ab:ab=aa,abbbba=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20580 ab:ab=aa,abbbba=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20581 solved: rounds:1,rules:2,peak:2,longest:7,steps:4,word:0,work:52,nodes:14,pairs:1,completionMax:5us [11m11s] 20581 ab:ab=aa,abbbba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20581 ab:ab=aa,abbbba=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20582 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:50,nodes:12,pairs:0,completionMax:3us [11m11s] 20582 ab:ab=aa,abbbbb=a infinite ab - - ab:ab=aa,aaaaaa=a [11m11s] from: 20582 ab:ab=aa,abbbbb=a infinite to: 20520 ab:ab=aa,aaaaaa=a infinite a=a,b=b [11m11s] # 20583 solved: rounds:1,rules:2,peak:2,longest:7,steps:5,word:0,work:58,nodes:14,pairs:1,completionMax:5us [11m11s] 20583 ab:ab=aa,abbbbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aaaaaa [11m11s] from: 20583 ab:ab=aa,abbbbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a6;saturation:a:a5=1;noncancellative:a,aaaaaa,aa,aaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aaaaaa [11m11s] # 20584 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:236,nodes:24,pairs:7,completionMax:29us [11m11s] 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] # 20585 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:124,nodes:14,pairs:7,completionMax:17us [11m11s] 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] # 20586 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:242,nodes:24,pairs:7,completionMax:39us [11m11s] 20586 ab:ab=aa,baaaab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20586 ab:ab=aa,baaaab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20587 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1283,nodes:26,pairs:24,completionMax:112us [11m11s] 20587 ab:ab=aa,baaaab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20587 ab:ab=aa,baaaab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20588 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:242,nodes:24,pairs:7,completionMax:38us [11m11s] 20588 ab:ab=aa,baaaba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20588 ab:ab=aa,baaaba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20589 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:118,nodes:14,pairs:7,completionMax:19us [11m11s] 20589 ab:ab=aa,baaaba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20589 ab:ab=aa,baaaba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20590 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:36us [11m11s] 20590 ab:ab=aa,baaabb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20590 ab:ab=aa,baaabb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20591 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1277,nodes:26,pairs:24,completionMax:88us [11m11s] 20591 ab:ab=aa,baaabb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20591 ab:ab=aa,baaabb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20592 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:242,nodes:24,pairs:7,completionMax:41us [11m11s] 20592 ab:ab=aa,baabaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20592 ab:ab=aa,baabaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20593 solved: rounds:3,rules:3,peak:7,longest:6,steps:8,word:0,work:729,nodes:24,pairs:14,completionMax:58us [11m11s] 20593 ab:ab=aa,baabaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20593 ab:ab=aa,baabaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20594 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:37us [11m11s] 20594 ab:ab=aa,baabab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20594 ab:ab=aa,baabab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20595 solved: rounds:3,rules:3,peak:7,longest:6,steps:8,word:0,work:723,nodes:24,pairs:14,completionMax:70us [11m11s] 20595 ab:ab=aa,baabab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20595 ab:ab=aa,baabab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20596 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:43us [11m11s] 20596 ab:ab=aa,baabba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20596 ab:ab=aa,baabba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20597 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:72,nodes:14,pairs:5,completionMax:15us [11m11s] 20597 ab:ab=aa,baabba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20597 ab:ab=aa,baabba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20598 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:254,nodes:24,pairs:7,completionMax:31us [11m11s] 20598 ab:ab=aa,baabbb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20598 ab:ab=aa,baabbb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20599 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1251,nodes:26,pairs:23,completionMax:76us [11m11s] 20599 ab:ab=aa,baabbb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20599 ab:ab=aa,baabbb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20600 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:242,nodes:24,pairs:7,completionMax:27us [11m11s] 20600 ab:ab=aa,babaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20600 ab:ab=aa,babaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20601 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:118,nodes:14,pairs:7,completionMax:13us [11m11s] 20601 ab:ab=aa,babaaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20601 ab:ab=aa,babaaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20602 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:30us [11m11s] 20602 ab:ab=aa,babaab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20602 ab:ab=aa,babaab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20603 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1277,nodes:26,pairs:24,completionMax:114us [11m11s] 20603 ab:ab=aa,babaab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20603 ab:ab=aa,babaab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20604 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:28us [11m11s] 20604 ab:ab=aa,bababa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20604 ab:ab=aa,bababa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20605 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:112,nodes:14,pairs:7,completionMax:14us [11m11s] 20605 ab:ab=aa,bababa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20605 ab:ab=aa,bababa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20606 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:254,nodes:24,pairs:7,completionMax:27us [11m11s] 20606 ab:ab=aa,bababb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20606 ab:ab=aa,bababb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20607 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1271,nodes:26,pairs:24,completionMax:109us [11m11s] 20607 ab:ab=aa,bababb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20607 ab:ab=aa,bababb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20608 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:248,nodes:24,pairs:7,completionMax:29us [11m11s] 20608 ab:ab=aa,babbaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20608 ab:ab=aa,babbaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20609 solved: rounds:3,rules:3,peak:7,longest:6,steps:8,word:0,work:723,nodes:24,pairs:14,completionMax:69us [11m11s] 20609 ab:ab=aa,babbaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20609 ab:ab=aa,babbaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20610 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:254,nodes:24,pairs:7,completionMax:38us [11m11s] 20610 ab:ab=aa,babbab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20610 ab:ab=aa,babbab=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20611 solved: rounds:3,rules:3,peak:7,longest:6,steps:8,word:0,work:717,nodes:24,pairs:14,completionMax:51us [11m11s] 20611 ab:ab=aa,babbab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20611 ab:ab=aa,babbab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20612 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:254,nodes:24,pairs:7,completionMax:40us [11m11s] 20612 ab:ab=aa,babbba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20612 ab:ab=aa,babbba=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20613 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:66,nodes:14,pairs:5,completionMax:17us [11m11s] 20613 ab:ab=aa,babbba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20613 ab:ab=aa,babbba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20614 solved: rounds:3,rules:3,peak:5,longest:7,steps:4,word:0,work:260,nodes:24,pairs:7,completionMax:37us [11m11s] 20614 ab:ab=aa,babbbb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 ab - - ab:ab=aa,ba=aa,aaaaaa=a [11m11s] from: 20614 ab:ab=aa,babbbb=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 to: 20584 ab:ab=aa,baaaaa=a infinite;commutative:ab:ab=a2,a6=a;saturation:a:a5=1;noncancellative:a,b,aa,aaa;smith:5 a=a,b=b [11m11s] # 20615 solved: rounds:4,rules:3,peak:11,longest:7,steps:2,word:0,work:1245,nodes:26,pairs:23,completionMax:104us [11m11s] 20615 ab:ab=aa,babbbb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20615 ab:ab=aa,babbbb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20616 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:254,nodes:24,pairs:6,completionMax:29us [11m11s] 20616 ab:ab=aa,bbaaaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] # 20617 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:99,nodes:16,pairs:6,completionMax:16us [11m11s] 20617 ab:ab=aa,bbaaaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20617 ab:ab=aa,bbaaaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20618 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:260,nodes:24,pairs:6,completionMax:38us [11m11s] 20618 ab:ab=aa,bbaaab=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20618 ab:ab=aa,bbaaab=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20619 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:93,nodes:16,pairs:6,completionMax:23us [11m11s] 20619 ab:ab=aa,bbaaab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20619 ab:ab=aa,bbaaab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20620 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:260,nodes:24,pairs:6,completionMax:39us [11m11s] 20620 ab:ab=aa,bbaaba=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20620 ab:ab=aa,bbaaba=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20621 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:70,nodes:14,pairs:5,completionMax:15us [11m11s] 20621 ab:ab=aa,bbaaba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20621 ab:ab=aa,bbaaba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20622 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:266,nodes:24,pairs:6,completionMax:40us [11m11s] 20622 ab:ab=aa,bbaabb=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20622 ab:ab=aa,bbaabb=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20623 solved: rounds:4,rules:3,peak:8,longest:7,steps:5,word:0,work:1030,nodes:28,pairs:31,completionMax:79us [11m11s] 20623 ab:ab=aa,bbaabb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20623 ab:ab=aa,bbaabb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20624 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:260,nodes:24,pairs:6,completionMax:32us [11m11s] 20624 ab:ab=aa,bbabaa=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20624 ab:ab=aa,bbabaa=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20625 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:93,nodes:16,pairs:6,completionMax:23us [11m11s] 20625 ab:ab=aa,bbabaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20625 ab:ab=aa,bbabaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20626 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:266,nodes:24,pairs:6,completionMax:40us [11m11s] 20626 ab:ab=aa,bbabab=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20626 ab:ab=aa,bbabab=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20627 solved: rounds:2,rules:3,peak:4,longest:6,steps:1,word:0,work:87,nodes:16,pairs:6,completionMax:18us [11m11s] 20627 ab:ab=aa,bbabab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20627 ab:ab=aa,bbabab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20628 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:266,nodes:24,pairs:6,completionMax:42us [11m11s] 20628 ab:ab=aa,bbabba=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20628 ab:ab=aa,bbabba=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20629 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:64,nodes:14,pairs:5,completionMax:11us [11m11s] 20629 ab:ab=aa,bbabba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20629 ab:ab=aa,bbabba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20630 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:272,nodes:24,pairs:6,completionMax:36us [11m11s] 20630 ab:ab=aa,bbabbb=a infinite ab - - ab:ab=aa,bba=aaa,aaaaaa=a [11m11s] from: 20630 ab:ab=aa,bbabbb=a infinite to: 20616 ab:ab=aa,bbaaaa=a infinite a=a,b=b [11m11s] # 20631 solved: rounds:4,rules:3,peak:8,longest:7,steps:5,word:0,work:1024,nodes:28,pairs:31,completionMax:105us [11m11s] 20631 ab:ab=aa,bbabbb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20631 ab:ab=aa,bbabbb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20632 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:310,nodes:24,pairs:5,completionMax:42us [11m11s] 20632 ab:ab=aa,bbbaaa=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaaa=a [11m11s] # 20633 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:62,nodes:14,pairs:4,completionMax:13us [11m11s] 20633 ab:ab=aa,bbbaaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20633 ab:ab=aa,bbbaaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20634 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:316,nodes:24,pairs:5,completionMax:38us [11m11s] 20634 ab:ab=aa,bbbaab=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaaa=a [11m11s] from: 20634 ab:ab=aa,bbbaab=a infinite to: 20632 ab:ab=aa,bbbaaa=a infinite a=a,b=b [11m11s] # 20635 solved: rounds:3,rules:3,peak:7,longest:6,steps:2,word:0,work:687,nodes:26,pairs:22,completionMax:74us [11m11s] 20635 ab:ab=aa,bbbaab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20635 ab:ab=aa,bbbaab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20636 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:316,nodes:24,pairs:5,completionMax:40us [11m11s] 20636 ab:ab=aa,bbbaba=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaaa=a [11m11s] from: 20636 ab:ab=aa,bbbaba=a infinite to: 20632 ab:ab=aa,bbbaaa=a infinite a=a,b=b [11m11s] # 20637 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:56,nodes:14,pairs:4,completionMax:12us [11m11s] 20637 ab:ab=aa,bbbaba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20637 ab:ab=aa,bbbaba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20638 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:322,nodes:24,pairs:5,completionMax:42us [11m11s] 20638 ab:ab=aa,bbbabb=a infinite ab - - ab:ab=aa,bbba=aaaa,aaaaaa=a [11m11s] from: 20638 ab:ab=aa,bbbabb=a infinite to: 20632 ab:ab=aa,bbbaaa=a infinite a=a,b=b [11m11s] # 20639 solved: rounds:3,rules:3,peak:7,longest:6,steps:2,word:0,work:681,nodes:26,pairs:22,completionMax:59us [11m11s] 20639 ab:ab=aa,bbbabb=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20639 ab:ab=aa,bbbabb=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20640 solved: rounds:3,rules:3,peak:4,longest:7,steps:4,word:0,work:237,nodes:24,pairs:3,completionMax:33us [11m11s] 20640 ab:ab=aa,bbbbaa=a infinite ab - - ab:ab=aa,bbbba=aaaaa,aaaaaa=a [11m11s] # 20641 solved: rounds:3,rules:3,peak:4,longest:6,steps:1,word:0,work:95,nodes:16,pairs:6,completionMax:20us [11m11s] 20641 ab:ab=aa,bbbbaa=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20641 ab:ab=aa,bbbbaa=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20642 solved: rounds:3,rules:3,peak:4,longest:7,steps:4,word:0,work:243,nodes:24,pairs:3,completionMax:31us [11m11s] 20642 ab:ab=aa,bbbbab=a infinite ab - - ab:ab=aa,bbbba=aaaaa,aaaaaa=a [11m11s] from: 20642 ab:ab=aa,bbbbab=a infinite to: 20640 ab:ab=aa,bbbbaa=a infinite a=a,b=b [11m11s] # 20643 solved: rounds:3,rules:3,peak:4,longest:6,steps:1,word:0,work:89,nodes:16,pairs:6,completionMax:20us [11m11s] 20643 ab:ab=aa,bbbbab=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20643 ab:ab=aa,bbbbab=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20644 solved: rounds:1,rules:3,peak:3,longest:7,steps:4,word:0,work:87,nodes:24,pairs:1,completionMax:8us [11m11s] 20644 ab:ab=aa,bbbbba=a infinite ab - - ab:ab=aa,bbbbba=a,aaaaaaa=aa [11m11s] # 20645 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:38,nodes:14,pairs:3,completionMax:10us [11m11s] 20645 ab:ab=aa,bbbbba=b finite:12;idempotents:1,abbbb,bbbbb ba - - ab:ba=bb,aa=ab,bbbbbb=b [11m11s] from: 20645 ab:ab=aa,bbbbba=b finite:12;idempotents:1,abbbb,bbbbb to: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb a=a,b=b [11m11s] # 20646 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:10,work:255,nodes:24,pairs:2,completionMax:19us [11m11s] 20646 ab:ab=aa,bbbbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b7,a=b6;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbbbbb,bbbbbbbb;smith:5 b/a - - ab:bbbbbbbbbbbb=bbbbbbb,a=bbbbbb [11m11s] from: 20646 ab:ab=aa,bbbbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b7,a=b6;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbbbbb,bbbbbbbb;smith:5 to: 19917 ab:aaa=b,bbbb=abb finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a7,b=a3;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaaaa,aaaaaaaaa;smith:5 a=aaaaaa,b=a [11m11s] # 20647 solved: rounds:1,rules:3,peak:3,longest:7,steps:5,word:0,work:87,nodes:24,pairs:1,completionMax:13us [11m11s] 20647 ab:ab=aa,bbbbbb=b finite:42;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbbb,bbbbaaaaaa,bbbbbaaaaa ab - - ab:ab=aa,bbbbbb=b,aaaaaaa=aa [11m11s] # 20648 solved: rounds:0,rules:2,peak:2,longest:6,steps:6,word:0,work:55,nodes:14,pairs:0,completionMax:6us [11m11s] 20648 ab:ba=ab,aaaaaa=a infinite;commutative:ab:a6=a;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 ab - - ab:ba=ab,aaaaaa=a [11m11s] # 20649 solved: rounds:0,rules:1,peak:2,longest:6,steps:1,word:5,work:1,nodes:4,pairs:0,completionMax:1us [11m11s] 20649 ab:ba=ab,aaaaaa=b infinite;commutative:ab:b=a6;saturation:a:;cancellative;smith:0 a/b - - ab:b=aaaaaa [11m11s] from: 20649 ab:ba=ab,aaaaaa=b infinite;commutative:ab:b=a6;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bbbbbb [11m11s] # 20650 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:43,nodes:14,pairs:0,completionMax:4us [11m11s] 20650 ab:ba=ab,aaaaab=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaaab=a [11m11s] # 20651 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:43,nodes:14,pairs:0,completionMax:3us [11m11s] 20651 ab:ba=ab,aaaaab=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 ab - - ab:ba=ab,aaaaab=b [11m11s] # 20652 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:49,nodes:14,pairs:0,completionMax:4us [11m11s] 20652 ab:ba=ab,aaaaba=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaaab=a [11m11s] from: 20652 ab:ba=ab,aaaaba=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20650 ab:ba=ab,aaaaab=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20653 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:49,nodes:14,pairs:0,completionMax:3us [11m11s] 20653 ab:ba=ab,aaaaba=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 ab - - ab:ba=ab,aaaaab=b [11m11s] from: 20653 ab:ba=ab,aaaaba=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 to: 20651 ab:ba=ab,aaaaab=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 a=a,b=b [11m11s] # 20654 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:43,nodes:14,pairs:0,completionMax:3us [11m11s] 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] # 20655 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:43,nodes:14,pairs:0,completionMax:5us [11m11s] 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] # 20656 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:55,nodes:14,pairs:0,completionMax:4us [11m11s] 20656 ab:ba=ab,aaabaa=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaaab=a [11m11s] from: 20656 ab:ba=ab,aaabaa=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20650 ab:ba=ab,aaaaab=a infinite;commutative:ab:a5b=a;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20657 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:55,nodes:14,pairs:0,completionMax:3us [11m11s] 20657 ab:ba=ab,aaabaa=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 ab - - ab:ba=ab,aaaaab=b [11m11s] from: 20657 ab:ba=ab,aaabaa=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 to: 20651 ab:ba=ab,aaaaab=b infinite;commutative:ab:a5b=b;saturation:ab:b5=1;noncancellative:aaaaa,1,ab,ab;smith:5,0 a=a,b=b [11m11s] # 20658 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:49,nodes:14,pairs:0,completionMax:2us [11m11s] 20658 ab:ba=ab,aaabab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20658 ab:ba=ab,aaabab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20659 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:49,nodes:14,pairs:0,completionMax:2us [11m11s] 20659 ab:ba=ab,aaabab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20659 ab:ba=ab,aaabab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20660 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:55,nodes:14,pairs:0,completionMax:3us [11m11s] 20660 ab:ba=ab,aaabba=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20660 ab:ba=ab,aaabba=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20661 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:55,nodes:14,pairs:0,completionMax:4us [11m11s] 20661 ab:ba=ab,aaabba=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20661 ab:ba=ab,aaabba=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20662 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:43,nodes:14,pairs:0,completionMax:3us [11m11s] 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] # 20663 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:55,nodes:14,pairs:0,completionMax:4us [11m11s] 20663 ab:ba=ab,aabaab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20663 ab:ba=ab,aabaab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20664 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:55,nodes:14,pairs:0,completionMax:3us [11m11s] 20664 ab:ba=ab,aabaab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20664 ab:ba=ab,aabaab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20665 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:61,nodes:14,pairs:0,completionMax:3us [11m11s] 20665 ab:ba=ab,aababa=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20665 ab:ba=ab,aababa=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20666 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:61,nodes:14,pairs:0,completionMax:2us [11m11s] 20666 ab:ba=ab,aababa=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20666 ab:ba=ab,aababa=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20667 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:49,nodes:14,pairs:0,completionMax:4us [11m11s] 20667 ab:ba=ab,aababb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20667 ab:ba=ab,aababb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20668 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:3us [11m11s] 20668 ab:ba=ab,aabbaa=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20668 ab:ba=ab,aabbaa=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20669 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:4us [11m11s] 20669 ab:ba=ab,aabbaa=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20669 ab:ba=ab,aabbaa=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20670 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:55,nodes:14,pairs:0,completionMax:4us [11m11s] 20670 ab:ba=ab,aabbab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20670 ab:ba=ab,aabbab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20671 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:55,nodes:14,pairs:0,completionMax:2us [11m11s] 20671 ab:ba=ab,aabbab=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=b [11m11s] from: 20671 ab:ba=ab,aabbab=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20672 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:61,nodes:14,pairs:0,completionMax:2us [11m11s] 20672 ab:ba=ab,aabbba=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20672 ab:ba=ab,aabbba=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20673 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:61,nodes:14,pairs:0,completionMax:2us [11m11s] 20673 ab:ba=ab,aabbba=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=b [11m11s] from: 20673 ab:ba=ab,aabbba=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20674 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:61,nodes:14,pairs:0,completionMax:3us [11m11s] 20674 ab:ba=ab,abaaab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20674 ab:ba=ab,abaaab=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20675 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:61,nodes:14,pairs:0,completionMax:3us [11m11s] 20675 ab:ba=ab,abaaab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20675 ab:ba=ab,abaaab=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20676 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:2us [11m11s] 20676 ab:ba=ab,abaaba=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=a [11m11s] from: 20676 ab:ba=ab,abaaba=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20677 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:3us [11m11s] 20677 ab:ba=ab,abaaba=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaaabb=b [11m11s] from: 20677 ab:ba=ab,abaaba=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20678 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:61,nodes:14,pairs:0,completionMax:3us [11m11s] 20678 ab:ba=ab,ababab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20678 ab:ba=ab,ababab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20679 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:2us [11m11s] 20679 ab:ba=ab,ababba=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20679 ab:ba=ab,ababba=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20680 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:2us [11m11s] 20680 ab:ba=ab,ababba=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=b [11m11s] from: 20680 ab:ba=ab,ababba=b infinite;commutative:ab:a3b3=b;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20681 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:2us [11m11s] 20681 ab:ba=ab,abbaab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabbb=a [11m11s] from: 20681 ab:ba=ab,abbaab=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20662 ab:ba=ab,aaabbb=a infinite;commutative:ab:a3b3=a;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20682 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:4us [11m11s] 20682 ab:ba=ab,abbbba=a infinite;commutative:ab:a2b4=a;saturation:ab:ab4=1;noncancellative:abbbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabbbb=a [11m11s] from: 20682 ab:ba=ab,abbbba=a infinite;commutative:ab:a2b4=a;saturation:ab:ab4=1;noncancellative:abbbb,1,ab,ab;smith:0 to: 20655 ab:ba=ab,aaaabb=b infinite;commutative:ab:a4b2=b;saturation:ab:ab4=1;noncancellative:aaaab,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20683 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:67,nodes:14,pairs:0,completionMax:9us [11m11s] 20683 ab:ba=ab,abbbba=b infinite;commutative:ab:a2b4=b;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabbbb=b [11m11s] from: 20683 ab:ba=ab,abbbba=b infinite;commutative:ab:a2b4=b;saturation:ab:a2b3=1;noncancellative:aabbb,1,ab,ab;smith:0 to: 20654 ab:ba=ab,aaaabb=a infinite;commutative:ab:a4b2=a;saturation:ab:a2b3=1;noncancellative:aaabb,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20684 solved: rounds:1,rules:2,peak:2,longest:12,steps:3,word:5,work:90,nodes:24,pairs:2,completionMax:9us [11m11s] 20684 ab:bb=aa,aaaaaa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20684 ab:bb=aa,aaaaaa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20685 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:72,nodes:24,pairs:2,completionMax:8us [11m11s] 20685 ab:bb=aa,aaaaaa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20685 ab:bb=aa,aaaaaa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20686 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:206,nodes:26,pairs:7,completionMax:22us [11m11s] 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] # 20687 solved: rounds:4,rules:4,peak:5,longest:17,steps:5,word:15,work:393,nodes:24,pairs:12,completionMax:33us [11m11s] 20687 ab:bb=aa,aaaaab=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20687 ab:bb=aa,aaaaab=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20688 solved: rounds:4,rules:4,peak:5,longest:17,steps:5,word:15,work:381,nodes:24,pairs:12,completionMax:32us [11m11s] 20688 ab:bb=aa,aaaaba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20688 ab:bb=aa,aaaaba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20689 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:218,nodes:26,pairs:7,completionMax:37us [11m11s] 20689 ab:bb=aa,aaaaba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20689 ab:bb=aa,aaaaba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20690 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:5,work:84,nodes:24,pairs:2,completionMax:20us [11m11s] 20690 ab:bb=aa,aaaabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20690 ab:bb=aa,aaaabb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20691 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:78,nodes:24,pairs:2,completionMax:14us [11m11s] 20691 ab:bb=aa,aaaabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20691 ab:bb=aa,aaaabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20692 solved: rounds:2,rules:4,peak:6,longest:11,steps:7,word:10,work:604,nodes:30,pairs:11,completionMax:60us [11m11s] 20692 ab:bb=aa,aaabaa=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20692 ab:bb=aa,aaabaa=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20693 solved: rounds:3,rules:4,peak:6,longest:11,steps:7,word:10,work:827,nodes:32,pairs:12,completionMax:66us [11m11s] 20693 ab:bb=aa,aaabaa=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20693 ab:bb=aa,aaabaa=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20694 solved: rounds:3,rules:2,peak:8,longest:18,steps:8,word:15,work:3012,nodes:56,pairs:16,completionMax:148us [11m11s] 20694 ab:bb=aa,aaabab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20694 ab:bb=aa,aaabab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20695 solved: rounds:3,rules:2,peak:8,longest:15,steps:7,word:10,work:1564,nodes:54,pairs:19,completionMax:128us [11m11s] 20695 ab:bb=aa,aaabab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20695 ab:bb=aa,aaabab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20696 solved: rounds:3,rules:2,peak:5,longest:17,steps:5,word:10,work:1065,nodes:46,pairs:11,completionMax:105us [11m11s] 20696 ab:bb=aa,aaabba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20696 ab:bb=aa,aaabba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20697 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:78,nodes:24,pairs:2,completionMax:17us [11m11s] 20697 ab:bb=aa,aaabba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20697 ab:bb=aa,aaabba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20698 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:212,nodes:26,pairs:7,completionMax:25us [11m11s] 20698 ab:bb=aa,aaabbb=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20698 ab:bb=aa,aaabbb=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20699 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:5,work:84,nodes:24,pairs:2,completionMax:21us [11m11s] 20699 ab:bb=aa,aabaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20699 ab:bb=aa,aabaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20700 solved: rounds:3,rules:2,peak:5,longest:17,steps:5,word:10,work:1059,nodes:46,pairs:11,completionMax:87us [11m11s] 20700 ab:bb=aa,aabaab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20700 ab:bb=aa,aabaab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20701 solved: rounds:3,rules:2,peak:8,longest:15,steps:7,word:10,work:1570,nodes:54,pairs:19,completionMax:93us [11m11s] 20701 ab:bb=aa,aababa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20701 ab:bb=aa,aababa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20702 solved: rounds:3,rules:2,peak:8,longest:18,steps:8,word:15,work:3006,nodes:56,pairs:16,completionMax:176us [11m11s] 20702 ab:bb=aa,aababa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20702 ab:bb=aa,aababa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20703 solved: rounds:3,rules:4,peak:6,longest:11,steps:7,word:10,work:821,nodes:32,pairs:12,completionMax:71us [11m11s] 20703 ab:bb=aa,aababb=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20703 ab:bb=aa,aababb=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20704 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:5,work:84,nodes:24,pairs:2,completionMax:11us [11m11s] 20704 ab:bb=aa,aabbaa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20704 ab:bb=aa,aabbaa=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20705 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:78,nodes:24,pairs:2,completionMax:16us [11m11s] 20705 ab:bb=aa,aabbaa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20705 ab:bb=aa,aabbaa=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20706 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:212,nodes:26,pairs:7,completionMax:41us [11m11s] 20706 ab:bb=aa,aabbab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20706 ab:bb=aa,aabbab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20707 solved: rounds:4,rules:4,peak:5,longest:17,steps:5,word:15,work:387,nodes:24,pairs:12,completionMax:55us [11m11s] 20707 ab:bb=aa,aabbab=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20707 ab:bb=aa,aabbab=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20708 solved: rounds:4,rules:4,peak:5,longest:17,steps:5,word:15,work:387,nodes:24,pairs:12,completionMax:46us [11m11s] 20708 ab:bb=aa,aabbba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20708 ab:bb=aa,aabbba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20709 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:212,nodes:26,pairs:7,completionMax:30us [11m11s] 20709 ab:bb=aa,aabbba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20709 ab:bb=aa,aabbba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20710 solved: rounds:3,rules:2,peak:6,longest:13,steps:5,word:10,work:900,nodes:44,pairs:19,completionMax:77us [11m11s] 20710 ab:bb=aa,abaaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20710 ab:bb=aa,abaaab=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20711 solved: rounds:2,rules:2,peak:6,longest:12,steps:7,word:10,work:632,nodes:42,pairs:14,completionMax:60us [11m11s] 20711 ab:bb=aa,abaaab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20711 ab:bb=aa,abaaab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20712 solved: rounds:3,rules:2,peak:4,longest:12,steps:4,word:5,work:229,nodes:24,pairs:9,completionMax:40us [11m11s] 20712 ab:bb=aa,abaaba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20712 ab:bb=aa,abaaba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20713 solved: rounds:3,rules:2,peak:6,longest:13,steps:9,word:10,work:1485,nodes:36,pairs:14,completionMax:75us [11m11s] 20713 ab:bb=aa,abaaba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20713 ab:bb=aa,abaaba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20714 solved: rounds:3,rules:4,peak:5,longest:11,steps:11,word:5,work:920,nodes:26,pairs:19,completionMax:72us [11m11s] 20714 ab:bb=aa,ababab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20714 ab:bb=aa,ababab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20715 solved: rounds:4,rules:4,peak:6,longest:11,steps:2,word:5,work:395,nodes:26,pairs:17,completionMax:50us [11m11s] 20715 ab:bb=aa,ababba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20715 ab:bb=aa,ababba=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20716 solved: rounds:2,rules:4,peak:6,longest:13,steps:4,word:15,work:1149,nodes:28,pairs:24,completionMax:106us [11m11s] 20716 ab:bb=aa,ababba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 b/a - - ab:bbbbbbbbbbb=b,ab=bbbbbbb,ba=bbbbbbb,aa=bb [11m11s] from: 20716 ab:bb=aa,ababba=b finite:12;idempotents:1,bbbbbbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb;commutative:ab:a2=b2,ab5=b,b7=ab;saturation:a:a10=1;noncancellative:abbbb,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=b,b=a [11m11s] # 20717 solved: rounds:2,rules:4,peak:5,longest:11,steps:2,word:5,work:212,nodes:26,pairs:7,completionMax:33us [11m11s] 20717 ab:bb=aa,abbaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a/b - - ab:aaaaaaaaaaa=a,ba=aaaaaaa,ab=aaaaaaa,bb=aa [11m11s] from: 20717 ab:bb=aa,abbaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 to: 20686 ab:bb=aa,aaaaab=a finite:12;idempotents:1,aaaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b2=a2,a5b=a,a7=ab;saturation:a:a10=1;noncancellative:aaaab,1,ab,ab;smith:10 a=a,b=b [11m11s] # 20718 solved: rounds:3,rules:2,peak:4,longest:12,steps:4,word:5,work:223,nodes:24,pairs:9,completionMax:38us [11m11s] 20718 ab:bb=aa,abbbba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 b/a - - ab:bbbbbbbbbbbb=bb,a=bbbbbb [11m11s] from: 20718 ab:bb=aa,abbbba=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b6;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=bbbbbb,b=b [11m11s] # 20719 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:5,work:84,nodes:24,pairs:2,completionMax:22us [11m11s] 20719 ab:bb=aa,abbbba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aaaaaa [11m11s] from: 20719 ab:bb=aa,abbbba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a6;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaaaaaa,aaaaaaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bbbbbb [11m11s] # 20720 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:28,nodes:10,pairs:0,completionMax:4us [11m11s] 20720 ab:ab=aa,aaaaa=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] # 20721 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:3us [11m11s] 20721 ab:ab=aa,aaaaa=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20721 ab:ab=aa,aaaaa=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20722 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:74,nodes:14,pairs:1,completionMax:13us [11m11s] 20722 ab:ab=aa,aaaaa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] # 20723 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:206,nodes:22,pairs:5,completionMax:26us [11m11s] 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] # 20724 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:5us [11m11s] 20724 ab:ab=aa,aaaab=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20724 ab:ab=aa,aaaab=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20725 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:35,nodes:10,pairs:0,completionMax:5us [11m11s] 20725 ab:ab=aa,aaaab=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20725 ab:ab=aa,aaaab=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20726 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:79,nodes:14,pairs:1,completionMax:10us [11m11s] 20726 ab:ab=aa,aaaab=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20726 ab:ab=aa,aaaab=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20727 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:211,nodes:22,pairs:5,completionMax:22us [11m11s] 20727 ab:ab=aa,aaaab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20727 ab:ab=aa,aaaab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20728 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:3us [11m11s] 20728 ab:ab=aa,aaaba=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20728 ab:ab=aa,aaaba=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20729 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:35,nodes:10,pairs:0,completionMax:4us [11m11s] 20729 ab:ab=aa,aaaba=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20729 ab:ab=aa,aaaba=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20730 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:79,nodes:14,pairs:1,completionMax:8us [11m11s] 20730 ab:ab=aa,aaaba=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20730 ab:ab=aa,aaaba=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20731 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:211,nodes:22,pairs:5,completionMax:24us [11m11s] 20731 ab:ab=aa,aaaba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20731 ab:ab=aa,aaaba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20732 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:7us [11m11s] 20732 ab:ab=aa,aaabb=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20732 ab:ab=aa,aaabb=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20733 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:4us [11m11s] 20733 ab:ab=aa,aaabb=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20733 ab:ab=aa,aaabb=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20734 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:8us [11m11s] 20734 ab:ab=aa,aaabb=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20734 ab:ab=aa,aaabb=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20735 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:19us [11m11s] 20735 ab:ab=aa,aaabb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20735 ab:ab=aa,aaabb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20736 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:3us [11m11s] 20736 ab:ab=aa,aabaa=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20736 ab:ab=aa,aabaa=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20737 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:35,nodes:10,pairs:0,completionMax:3us [11m11s] 20737 ab:ab=aa,aabaa=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20737 ab:ab=aa,aabaa=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20738 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:79,nodes:14,pairs:1,completionMax:8us [11m11s] 20738 ab:ab=aa,aabaa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20738 ab:ab=aa,aabaa=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20739 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:211,nodes:22,pairs:5,completionMax:25us [11m11s] 20739 ab:ab=aa,aabaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20739 ab:ab=aa,aabaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20740 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:3us [11m11s] 20740 ab:ab=aa,aabab=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20740 ab:ab=aa,aabab=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20741 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:3us [11m11s] 20741 ab:ab=aa,aabab=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20741 ab:ab=aa,aabab=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20742 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:7us [11m11s] 20742 ab:ab=aa,aabab=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20742 ab:ab=aa,aabab=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20743 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:25us [11m11s] 20743 ab:ab=aa,aabab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20743 ab:ab=aa,aabab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20744 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:5us [11m11s] 20744 ab:ab=aa,aabba=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20744 ab:ab=aa,aabba=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20745 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:5us [11m11s] 20745 ab:ab=aa,aabba=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20745 ab:ab=aa,aabba=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20746 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:10us [11m11s] 20746 ab:ab=aa,aabba=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20746 ab:ab=aa,aabba=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20747 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:28us [11m11s] 20747 ab:ab=aa,aabba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20747 ab:ab=aa,aabba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20748 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:4us [11m11s] 20748 ab:ab=aa,aabbb=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20748 ab:ab=aa,aabbb=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20749 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:4us [11m11s] 20749 ab:ab=aa,aabbb=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20749 ab:ab=aa,aabbb=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20750 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:89,nodes:14,pairs:1,completionMax:10us [11m11s] 20750 ab:ab=aa,aabbb=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20750 ab:ab=aa,aabbb=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20751 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:221,nodes:22,pairs:5,completionMax:30us [11m11s] 20751 ab:ab=aa,aabbb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20751 ab:ab=aa,aabbb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20752 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:4us [11m11s] 20752 ab:ab=aa,abaaa=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20752 ab:ab=aa,abaaa=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20753 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:35,nodes:10,pairs:0,completionMax:4us [11m11s] 20753 ab:ab=aa,abaaa=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20753 ab:ab=aa,abaaa=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20754 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:79,nodes:14,pairs:1,completionMax:9us [11m11s] 20754 ab:ab=aa,abaaa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20754 ab:ab=aa,abaaa=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20755 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:211,nodes:22,pairs:5,completionMax:22us [11m11s] 20755 ab:ab=aa,abaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20755 ab:ab=aa,abaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20756 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:4us [11m11s] 20756 ab:ab=aa,abaab=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20756 ab:ab=aa,abaab=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20757 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:2us [11m11s] 20757 ab:ab=aa,abaab=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20757 ab:ab=aa,abaab=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20758 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:12us [11m11s] 20758 ab:ab=aa,abaab=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20758 ab:ab=aa,abaab=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20759 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:25us [11m11s] 20759 ab:ab=aa,abaab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20759 ab:ab=aa,abaab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20760 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:4us [11m11s] 20760 ab:ab=aa,ababa=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20760 ab:ab=aa,ababa=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20761 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:4us [11m11s] 20761 ab:ab=aa,ababa=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20761 ab:ab=aa,ababa=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20762 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:7us [11m11s] 20762 ab:ab=aa,ababa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20762 ab:ab=aa,ababa=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20763 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:17us [11m11s] 20763 ab:ab=aa,ababa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20763 ab:ab=aa,ababa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20764 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:3us [11m11s] 20764 ab:ab=aa,ababb=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20764 ab:ab=aa,ababb=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20765 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:2us [11m11s] 20765 ab:ab=aa,ababb=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20765 ab:ab=aa,ababb=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20766 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:89,nodes:14,pairs:1,completionMax:8us [11m11s] 20766 ab:ab=aa,ababb=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20766 ab:ab=aa,ababb=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20767 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:221,nodes:22,pairs:5,completionMax:25us [11m11s] 20767 ab:ab=aa,ababb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20767 ab:ab=aa,ababb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20768 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:38,nodes:10,pairs:0,completionMax:4us [11m11s] 20768 ab:ab=aa,abbaa=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20768 ab:ab=aa,abbaa=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20769 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:5us [11m11s] 20769 ab:ab=aa,abbaa=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20769 ab:ab=aa,abbaa=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20770 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:84,nodes:14,pairs:1,completionMax:10us [11m11s] 20770 ab:ab=aa,abbaa=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20770 ab:ab=aa,abbaa=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20771 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:216,nodes:22,pairs:5,completionMax:22us [11m11s] 20771 ab:ab=aa,abbaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20771 ab:ab=aa,abbaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20772 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:3us [11m11s] 20772 ab:ab=aa,abbab=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20772 ab:ab=aa,abbab=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20773 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:4us [11m11s] 20773 ab:ab=aa,abbab=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20773 ab:ab=aa,abbab=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20774 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:89,nodes:14,pairs:1,completionMax:6us [11m11s] 20774 ab:ab=aa,abbab=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20774 ab:ab=aa,abbab=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20775 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:221,nodes:22,pairs:5,completionMax:18us [11m11s] 20775 ab:ab=aa,abbab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20775 ab:ab=aa,abbab=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20776 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:3us [11m11s] 20776 ab:ab=aa,abbba=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20776 ab:ab=aa,abbba=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20777 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:4us [11m11s] 20777 ab:ab=aa,abbba=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20777 ab:ab=aa,abbba=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20778 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:89,nodes:14,pairs:1,completionMax:11us [11m11s] 20778 ab:ab=aa,abbba=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20778 ab:ab=aa,abbba=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20779 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:221,nodes:22,pairs:5,completionMax:26us [11m11s] 20779 ab:ab=aa,abbba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20779 ab:ab=aa,abbba=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20780 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:48,nodes:10,pairs:0,completionMax:4us [11m11s] 20780 ab:ab=aa,abbbb=aa infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20780 ab:ab=aa,abbbb=aa infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20781 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:50,nodes:10,pairs:0,completionMax:4us [11m11s] 20781 ab:ab=aa,abbbb=ab infinite ab - - ab:ab=aa,aaaaa=aa [11m11s] from: 20781 ab:ab=aa,abbbb=ab infinite to: 20720 ab:ab=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20782 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:3,work:94,nodes:14,pairs:1,completionMax:10us [11m11s] 20782 ab:ab=aa,abbbb=ba infinite a/b - - ab:aaaaaa=aaa,ba=aaaaa,ab=aa [11m11s] from: 20782 ab:ab=aa,abbbb=ba infinite to: 20722 ab:ab=aa,aaaaa=ba infinite a=a,b=b [11m11s] # 20783 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:0,work:226,nodes:22,pairs:5,completionMax:27us [11m11s] 20783 ab:ab=aa,abbbb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a/b - - ab:aaaaaa=aaa,baaa=aaaa,ab=aa,bb=aaaaa [11m11s] from: 20783 ab:ab=aa,abbbb=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa to: 20723 ab:ab=aa,aaaaa=bb finite:9;idempotents:1,aaa;center:1,aaa,baa,aaaa,aaaaa a=a,b=b [11m11s] # 20784 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:347,nodes:20,pairs:7,completionMax:38us [11m11s] 20784 ab:ab=aa,baaaa=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] # 20785 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:349,nodes:20,pairs:7,completionMax:41us [11m11s] 20785 ab:ab=aa,baaaa=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20785 ab:ab=aa,baaaa=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20786 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:87,nodes:20,pairs:1,completionMax:11us [11m11s] 20786 ab:ab=aa,baaaa=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] # 20787 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:3,work:70,nodes:14,pairs:2,completionMax:11us [11m11s] 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] # 20788 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:352,nodes:20,pairs:7,completionMax:39us [11m11s] 20788 ab:ab=aa,baaab=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20788 ab:ab=aa,baaab=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20789 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:354,nodes:20,pairs:7,completionMax:36us [11m11s] 20789 ab:ab=aa,baaab=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20789 ab:ab=aa,baaab=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20790 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:92,nodes:20,pairs:1,completionMax:9us [11m11s] 20790 ab:ab=aa,baaab=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20790 ab:ab=aa,baaab=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20791 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:3,work:75,nodes:14,pairs:2,completionMax:7us [11m11s] 20791 ab:ab=aa,baaab=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20791 ab:ab=aa,baaab=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20792 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:352,nodes:20,pairs:7,completionMax:28us [11m11s] 20792 ab:ab=aa,baaba=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20792 ab:ab=aa,baaba=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20793 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:354,nodes:20,pairs:7,completionMax:39us [11m11s] 20793 ab:ab=aa,baaba=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20793 ab:ab=aa,baaba=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20794 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:92,nodes:20,pairs:1,completionMax:10us [11m11s] 20794 ab:ab=aa,baaba=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20794 ab:ab=aa,baaba=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20795 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:3,work:75,nodes:14,pairs:2,completionMax:9us [11m11s] 20795 ab:ab=aa,baaba=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20795 ab:ab=aa,baaba=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20796 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:357,nodes:20,pairs:7,completionMax:35us [11m11s] 20796 ab:ab=aa,baabb=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20796 ab:ab=aa,baabb=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20797 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:359,nodes:20,pairs:7,completionMax:28us [11m11s] 20797 ab:ab=aa,baabb=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20797 ab:ab=aa,baabb=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20798 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:97,nodes:20,pairs:1,completionMax:12us [11m11s] 20798 ab:ab=aa,baabb=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20798 ab:ab=aa,baabb=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20799 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:80,nodes:14,pairs:2,completionMax:7us [11m11s] 20799 ab:ab=aa,baabb=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20799 ab:ab=aa,baabb=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20800 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:352,nodes:20,pairs:7,completionMax:35us [11m11s] 20800 ab:ab=aa,babaa=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20800 ab:ab=aa,babaa=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20801 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:354,nodes:20,pairs:7,completionMax:40us [11m11s] 20801 ab:ab=aa,babaa=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20801 ab:ab=aa,babaa=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20802 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:92,nodes:20,pairs:1,completionMax:10us [11m11s] 20802 ab:ab=aa,babaa=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20802 ab:ab=aa,babaa=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20803 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:3,work:75,nodes:14,pairs:2,completionMax:10us [11m11s] 20803 ab:ab=aa,babaa=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20803 ab:ab=aa,babaa=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20804 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:357,nodes:20,pairs:7,completionMax:36us [11m11s] 20804 ab:ab=aa,babab=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20804 ab:ab=aa,babab=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20805 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:359,nodes:20,pairs:7,completionMax:41us [11m11s] 20805 ab:ab=aa,babab=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20805 ab:ab=aa,babab=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20806 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:97,nodes:20,pairs:1,completionMax:10us [11m11s] 20806 ab:ab=aa,babab=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20806 ab:ab=aa,babab=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20807 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:80,nodes:14,pairs:2,completionMax:7us [11m11s] 20807 ab:ab=aa,babab=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20807 ab:ab=aa,babab=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20808 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:357,nodes:20,pairs:7,completionMax:36us [11m11s] 20808 ab:ab=aa,babba=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20808 ab:ab=aa,babba=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20809 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:359,nodes:20,pairs:7,completionMax:29us [11m11s] 20809 ab:ab=aa,babba=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20809 ab:ab=aa,babba=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20810 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:97,nodes:20,pairs:1,completionMax:15us [11m11s] 20810 ab:ab=aa,babba=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20810 ab:ab=aa,babba=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20811 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:80,nodes:14,pairs:2,completionMax:11us [11m11s] 20811 ab:ab=aa,babba=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20811 ab:ab=aa,babba=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20812 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:362,nodes:20,pairs:7,completionMax:43us [11m11s] 20812 ab:ab=aa,babbb=aa infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20812 ab:ab=aa,babbb=aa infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20813 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:364,nodes:20,pairs:7,completionMax:41us [11m11s] 20813 ab:ab=aa,babbb=ab infinite ab - - ab:ab=aa,baa=aaa,aaaaa=aa [11m11s] from: 20813 ab:ab=aa,babbb=ab infinite to: 20784 ab:ab=aa,baaaa=aa infinite a=a,b=b [11m11s] # 20814 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:102,nodes:20,pairs:1,completionMax:13us [11m11s] 20814 ab:ab=aa,babbb=ba infinite ab - - ab:ab=aa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20814 ab:ab=aa,babbb=ba infinite to: 20786 ab:ab=aa,baaaa=ba infinite a=a,b=b [11m11s] # 20815 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:3,work:85,nodes:14,pairs:2,completionMax:15us [11m11s] 20815 ab:ab=aa,babbb=bb finite:12;idempotents:1,aaa,baaaaa a/b - - ab:aaaaaa=aaa,ab=aa,bb=baaaa [11m11s] from: 20815 ab:ab=aa,babbb=bb finite:12;idempotents:1,aaa,baaaaa to: 20787 ab:ab=aa,baaaa=bb finite:12;idempotents:1,aaa,baaaaa a=a,b=b [11m11s] # 20816 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:264,nodes:20,pairs:3,completionMax:29us [11m11s] 20816 ab:ab=aa,bbaaa=aa infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] # 20817 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:266,nodes:20,pairs:3,completionMax:30us [11m11s] 20817 ab:ab=aa,bbaaa=ab infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20817 ab:ab=aa,bbaaa=ab infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20818 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:0,work:186,nodes:26,pairs:4,completionMax:20us [11m11s] 20818 ab:ab=aa,bbaaa=ba infinite ab - - ab:ab=aa,bba=baa,baaaa=ba,aaaaaa=aaa [11m11s] # 20819 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:175,nodes:20,pairs:2,completionMax:13us [11m11s] 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] # 20820 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:269,nodes:20,pairs:3,completionMax:22us [11m11s] 20820 ab:ab=aa,bbaab=aa infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20820 ab:ab=aa,bbaab=aa infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20821 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:271,nodes:20,pairs:3,completionMax:27us [11m11s] 20821 ab:ab=aa,bbaab=ab infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20821 ab:ab=aa,bbaab=ab infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20822 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:0,work:191,nodes:26,pairs:4,completionMax:29us [11m11s] 20822 ab:ab=aa,bbaab=ba infinite ab - - ab:ab=aa,bba=baa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20822 ab:ab=aa,bbaab=ba infinite to: 20818 ab:ab=aa,bbaaa=ba infinite a=a,b=b [11m11s] # 20823 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:180,nodes:20,pairs:2,completionMax:12us [11m11s] 20823 ab:ab=aa,bbaab=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20823 ab:ab=aa,bbaab=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20824 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:269,nodes:20,pairs:3,completionMax:28us [11m11s] 20824 ab:ab=aa,bbaba=aa infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20824 ab:ab=aa,bbaba=aa infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20825 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:271,nodes:20,pairs:3,completionMax:24us [11m11s] 20825 ab:ab=aa,bbaba=ab infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20825 ab:ab=aa,bbaba=ab infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20826 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:0,work:191,nodes:26,pairs:4,completionMax:22us [11m11s] 20826 ab:ab=aa,bbaba=ba infinite ab - - ab:ab=aa,bba=baa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20826 ab:ab=aa,bbaba=ba infinite to: 20818 ab:ab=aa,bbaaa=ba infinite a=a,b=b [11m11s] # 20827 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:180,nodes:20,pairs:2,completionMax:16us [11m11s] 20827 ab:ab=aa,bbaba=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20827 ab:ab=aa,bbaba=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20828 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:274,nodes:20,pairs:3,completionMax:29us [11m11s] 20828 ab:ab=aa,bbabb=aa infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20828 ab:ab=aa,bbabb=aa infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20829 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:0,work:276,nodes:20,pairs:3,completionMax:31us [11m11s] 20829 ab:ab=aa,bbabb=ab infinite ab - - ab:ab=aa,bbaa=aaaa,aaaaa=aa [11m11s] from: 20829 ab:ab=aa,bbabb=ab infinite to: 20816 ab:ab=aa,bbaaa=aa infinite a=a,b=b [11m11s] # 20830 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:0,work:196,nodes:26,pairs:4,completionMax:24us [11m11s] 20830 ab:ab=aa,bbabb=ba infinite ab - - ab:ab=aa,bba=baa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20830 ab:ab=aa,bbabb=ba infinite to: 20818 ab:ab=aa,bbaaa=ba infinite a=a,b=b [11m11s] # 20831 solved: rounds:1,rules:4,peak:4,longest:6,steps:3,word:0,work:185,nodes:20,pairs:2,completionMax:12us [11m11s] 20831 ab:ab=aa,bbabb=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20831 ab:ab=aa,bbabb=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20832 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:88,nodes:20,pairs:1,completionMax:12us [11m11s] 20832 ab:ab=aa,bbbaa=aa infinite ab - - ab:ab=aa,bbbaa=aa,aaaaaa=aaa [11m11s] # 20833 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:90,nodes:20,pairs:1,completionMax:9us [11m11s] 20833 ab:ab=aa,bbbaa=ab infinite ab - - ab:ab=aa,bbbaa=aa,aaaaaa=aaa [11m11s] from: 20833 ab:ab=aa,bbbaa=ab infinite to: 20832 ab:ab=aa,bbbaa=aa infinite a=a,b=b [11m11s] # 20834 solved: rounds:4,rules:4,peak:5,longest:6,steps:2,word:0,work:264,nodes:28,pairs:4,completionMax:60us [11m11s] 20834 ab:ab=aa,bbbaa=ba infinite ab - - ab:ab=aa,bbba=baaa,baaaa=ba,aaaaaa=aaa [11m11s] # 20835 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:251,nodes:20,pairs:5,completionMax:25us [11m11s] 20835 ab:ab=aa,bbbaa=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20835 ab:ab=aa,bbbaa=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20836 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:93,nodes:20,pairs:1,completionMax:11us [11m11s] 20836 ab:ab=aa,bbbab=aa infinite ab - - ab:ab=aa,bbbaa=aa,aaaaaa=aaa [11m11s] from: 20836 ab:ab=aa,bbbab=aa infinite to: 20832 ab:ab=aa,bbbaa=aa infinite a=a,b=b [11m11s] # 20837 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:95,nodes:20,pairs:1,completionMax:9us [11m11s] 20837 ab:ab=aa,bbbab=ab infinite ab - - ab:ab=aa,bbbaa=aa,aaaaaa=aaa [11m11s] from: 20837 ab:ab=aa,bbbab=ab infinite to: 20832 ab:ab=aa,bbbaa=aa infinite a=a,b=b [11m11s] # 20838 solved: rounds:4,rules:4,peak:5,longest:6,steps:2,word:0,work:269,nodes:28,pairs:4,completionMax:34us [11m11s] 20838 ab:ab=aa,bbbab=ba infinite ab - - ab:ab=aa,bbba=baaa,baaaa=ba,aaaaaa=aaa [11m11s] from: 20838 ab:ab=aa,bbbab=ba infinite to: 20834 ab:ab=aa,bbbaa=ba infinite a=a,b=b [11m11s] # 20839 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:256,nodes:20,pairs:5,completionMax:24us [11m11s] 20839 ab:ab=aa,bbbab=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20839 ab:ab=aa,bbbab=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20840 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:83,nodes:20,pairs:1,completionMax:8us [11m11s] 20840 ab:ab=aa,bbbba=aa infinite ab - - ab:ab=aa,bbbba=aa,aaaaaa=aaa [11m11s] # 20841 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:85,nodes:20,pairs:1,completionMax:11us [11m11s] 20841 ab:ab=aa,bbbba=ab infinite ab - - ab:ab=aa,bbbba=aa,aaaaaa=aaa [11m11s] from: 20841 ab:ab=aa,bbbba=ab infinite to: 20840 ab:ab=aa,bbbba=aa infinite a=a,b=b [11m11s] # 20842 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:87,nodes:20,pairs:1,completionMax:9us [11m11s] 20842 ab:ab=aa,bbbba=ba infinite ab - - ab:ab=aa,bbbba=ba,aaaaaa=aaa [11m11s] # 20843 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:286,nodes:20,pairs:6,completionMax:25us [11m11s] 20843 ab:ab=aa,bbbba=bb finite:15;idempotents:1,aaa,bba,baaaaa ab - - ab:ab=aa,bbb=bba,bbaaa=bb,aaaaaa=aaa [11m11s] from: 20843 ab:ab=aa,bbbba=bb finite:15;idempotents:1,aaa,bba,baaaaa to: 20819 ab:ab=aa,bbaaa=bb finite:15;idempotents:1,aaa,bba,baaaaa a=a,b=b [11m11s] # 20844 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:0,work:240,nodes:22,pairs:5,completionMax:14us [11m11s] 20844 ab:ab=aa,bbbbb=aa finite:14;idempotents:1,aaa;center:1,aa,aaa,aaaa,aaaaa,bbbba ab - - ab:ab=aa,baa=aaa,bbbbb=aa,aaaaaa=aaa [11m11s] # 20845 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:0,work:242,nodes:22,pairs:5,completionMax:20us [11m11s] 20845 ab:ab=aa,bbbbb=ab finite:14;idempotents:1,aaa;center:1,aa,aaa,aaaa,aaaaa,bbbba ab - - ab:ab=aa,baa=aaa,bbbbb=aa,aaaaaa=aaa [11m11s] from: 20845 ab:ab=aa,bbbbb=ab finite:14;idempotents:1,aaa;center:1,aa,aaa,aaaa,aaaaa,bbbba to: 20844 ab:ab=aa,bbbbb=aa finite:14;idempotents:1,aaa;center:1,aa,aaa,aaaa,aaaaa,bbbba a=a,b=b [11m11s] # 20846 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:349,nodes:28,pairs:2,completionMax:18us [11m11s] 20846 ab:ab=aa,bbbbb=ba finite:14;idempotents:1,abb,bbbbbb b/a - - ab:bbbbbbbbb=bbbbbb,abbbbb=abb,ba=bbbbb,aa=ab [11m11s] # 20847 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:0,work:96,nodes:20,pairs:1,completionMax:9us [11m11s] 20847 ab:ab=aa,bbbbb=bb finite:30;idempotents:1,aaa,bbb,baaaaa,bbaaaa,bbbaaa,bbbbaaaaa ab - - ab:ab=aa,bbbbb=bb,aaaaaa=aaa [11m11s] # 20848 solved: rounds:0,rules:2,peak:2,longest:5,steps:5,word:0,work:55,nodes:12,pairs:0,completionMax:4us [11m11s] 20848 ab:ba=ab,aaaaa=aa infinite;commutative:ab:a5=a2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaaaa=aa [11m11s] # 20849 solved: rounds:0,rules:2,peak:2,longest:5,steps:6,word:6,work:43,nodes:6,pairs:0,completionMax:11us [11m11s] 20849 ab:ba=ab,aaaaa=ab infinite;commutative:ab:ab=a5;saturation:a:;noncancellative:aaaa,b,aaaaa,aaaaaaaaa;smith:0 a/b - - ab:ba=aaaaa,ab=aaaaa [11m11s] # 20850 solved: rounds:0,rules:2,peak:2,longest:5,steps:8,word:0,work:129,nodes:12,pairs:0,completionMax:7us [11m11s] 20850 ab:ba=ab,aaaaa=bb infinite;commutative:ab:b2=a5;saturation:ab:a2=b5;cancellative;smith:0 ab - - ab:ba=ab,aaaaa=bb [11m11s] # 20851 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:35,nodes:12,pairs:0,completionMax:3us [11m11s] 20851 ab:ba=ab,aaaab=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaaab=aa [11m11s] # 20852 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:35,nodes:12,pairs:0,completionMax:4us [11m11s] 20852 ab:ba=ab,aaaab=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaab=ab [11m11s] # 20853 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:37,nodes:12,pairs:0,completionMax:3us [11m11s] 20853 ab:ba=ab,aaaab=ba infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaab=ab [11m11s] from: 20853 ab:ba=ab,aaaab=ba infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 20852 ab:ba=ab,aaaab=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [11m11s] # 20854 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:35,nodes:12,pairs:0,completionMax:3us [11m11s] 20854 ab:ba=ab,aaaab=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 ab - - ab:ba=ab,aaaab=bb [11m11s] # 20855 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:40,nodes:12,pairs:0,completionMax:3us [11m11s] 20855 ab:ba=ab,aaaba=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaaab=aa [11m11s] from: 20855 ab:ba=ab,aaaba=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 to: 20851 ab:ba=ab,aaaab=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20856 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:40,nodes:12,pairs:0,completionMax:2us [11m11s] 20856 ab:ba=ab,aaaba=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaab=ab [11m11s] from: 20856 ab:ba=ab,aaaba=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 20852 ab:ba=ab,aaaab=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [11m11s] # 20857 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:42,nodes:12,pairs:0,completionMax:4us [11m11s] 20857 ab:ba=ab,aaaba=ba infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaab=ab [11m11s] from: 20857 ab:ba=ab,aaaba=ba infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 20852 ab:ba=ab,aaaab=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [11m11s] # 20858 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:40,nodes:12,pairs:0,completionMax:2us [11m11s] 20858 ab:ba=ab,aaaba=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 ab - - ab:ba=ab,aaaab=bb [11m11s] from: 20858 ab:ba=ab,aaaba=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 to: 20854 ab:ba=ab,aaaab=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 a=a,b=b [11m11s] # 20859 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:35,nodes:12,pairs:0,completionMax:4us [11m11s] 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaabb=aa [11m11s] # 20860 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:35,nodes:12,pairs:0,completionMax:2us [11m11s] 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] # 20861 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:37,nodes:12,pairs:0,completionMax:2us [11m11s] 20861 ab:ba=ab,aaabb=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20861 ab:ba=ab,aaabb=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20862 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:35,nodes:12,pairs:0,completionMax:2us [11m11s] 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaabb=bb [11m11s] # 20863 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20863 ab:ba=ab,aabaa=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaaab=aa [11m11s] from: 20863 ab:ba=ab,aabaa=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 to: 20851 ab:ba=ab,aaaab=aa infinite;commutative:ab:a4b=a2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20864 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20864 ab:ba=ab,aabaa=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 ab - - ab:ba=ab,aaaab=ab [11m11s] from: 20864 ab:ba=ab,aabaa=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 to: 20852 ab:ba=ab,aaaab=ab infinite;commutative:ab:a4b=ab;saturation:ab:b3=1;noncancellative:aaa,1,ab,ab;smith:3,0 a=a,b=b [11m11s] # 20865 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20865 ab:ba=ab,aabaa=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 ab - - ab:ba=ab,aaaab=bb [11m11s] from: 20865 ab:ba=ab,aabaa=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 to: 20854 ab:ba=ab,aaaab=bb infinite;commutative:ab:b2=a4b;saturation:a:;noncancellative:aaaa,b,ab,aaaaab;smith:0 a=a,b=b [11m11s] # 20866 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:40,nodes:12,pairs:0,completionMax:2us [11m11s] 20866 ab:ba=ab,aabab=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaabb=aa [11m11s] from: 20866 ab:ba=ab,aabab=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 to: 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20867 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:40,nodes:12,pairs:0,completionMax:1us [11m11s] 20867 ab:ba=ab,aabab=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20867 ab:ba=ab,aabab=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20868 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:42,nodes:12,pairs:0,completionMax:2us [11m11s] 20868 ab:ba=ab,aabab=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20868 ab:ba=ab,aabab=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20869 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:40,nodes:12,pairs:0,completionMax:3us [11m11s] 20869 ab:ba=ab,aabab=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaabb=bb [11m11s] from: 20869 ab:ba=ab,aabab=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 to: 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 a=a,b=b [11m11s] # 20870 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20870 ab:ba=ab,aabba=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaabb=aa [11m11s] from: 20870 ab:ba=ab,aabba=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 to: 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20871 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20871 ab:ba=ab,aabba=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20871 ab:ba=ab,aabba=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20872 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:47,nodes:12,pairs:0,completionMax:3us [11m11s] 20872 ab:ba=ab,aabba=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20872 ab:ba=ab,aabba=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20873 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20873 ab:ba=ab,aabba=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaabb=bb [11m11s] from: 20873 ab:ba=ab,aabba=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 to: 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 a=a,b=b [11m11s] # 20874 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20874 ab:ba=ab,abaab=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaabb=aa [11m11s] from: 20874 ab:ba=ab,abaab=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 to: 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20875 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:2us [11m11s] 20875 ab:ba=ab,abaab=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20875 ab:ba=ab,abaab=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20876 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:47,nodes:12,pairs:0,completionMax:1us [11m11s] 20876 ab:ba=ab,abaab=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20876 ab:ba=ab,abaab=ba infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20877 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:45,nodes:12,pairs:0,completionMax:3us [11m11s] 20877 ab:ba=ab,abaab=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaabb=bb [11m11s] from: 20877 ab:ba=ab,abaab=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 to: 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 a=a,b=b [11m11s] # 20878 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:2us [11m11s] 20878 ab:ba=ab,ababa=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaabb=aa [11m11s] from: 20878 ab:ba=ab,ababa=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 to: 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 20879 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:2us [11m11s] 20879 ab:ba=ab,ababa=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 ab - - ab:ba=ab,aaabb=ab [11m11s] from: 20879 ab:ba=ab,ababa=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=a,b=b [11m11s] # 20880 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:1us [11m11s] 20880 ab:ba=ab,ababa=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aaabb=bb [11m11s] from: 20880 ab:ba=ab,ababa=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 to: 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 a=a,b=b [11m11s] # 20881 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:5us [11m11s] 20881 ab:ba=ab,abbba=aa infinite;commutative:ab:a2b3=a2;saturation:ab:b3=1;noncancellative:bbb,1,aabb,aabb;smith:3,0 ab - - ab:ba=ab,aabbb=aa [11m11s] from: 20881 ab:ba=ab,abbba=aa infinite;commutative:ab:a2b3=a2;saturation:ab:b3=1;noncancellative:bbb,1,aabb,aabb;smith:3,0 to: 20862 ab:ba=ab,aaabb=bb infinite;commutative:ab:a3b2=b2;saturation:ab:b3=1;noncancellative:aaa,1,aabb,aabb;smith:3,0 a=b,b=a [11m11s] # 20882 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:3us [11m11s] 20882 ab:ba=ab,abbba=ab infinite;commutative:ab:a2b3=ab;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 ab - - ab:ba=ab,aabbb=ab [11m11s] from: 20882 ab:ba=ab,abbba=ab infinite;commutative:ab:a2b3=ab;saturation:ab:ab2=1;noncancellative:abb,1,ab,ab;smith:0 to: 20860 ab:ba=ab,aaabb=ab infinite;commutative:ab:a3b2=ab;saturation:ab:ab2=1;noncancellative:aab,1,ab,ab;smith:0 a=b,b=a [11m11s] # 20883 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:50,nodes:12,pairs:0,completionMax:4us [11m11s] 20883 ab:ba=ab,abbba=bb infinite;commutative:ab:a2b3=b2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aabbb=bb [11m11s] from: 20883 ab:ba=ab,abbba=bb infinite;commutative:ab:a2b3=b2;saturation:ab:ab2=1;noncancellative:aab,1,aabb,aabb;smith:0 to: 20859 ab:ba=ab,aaabb=aa infinite;commutative:ab:a3b2=a2;saturation:ab:ab2=1;noncancellative:abb,1,aabb,aabb;smith:0 a=b,b=a [11m11s] # 20884 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:3,work:183,nodes:20,pairs:7,completionMax:27us [11m11s] 20884 ab:bb=aa,aaaaa=aa infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] # 20885 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:140,nodes:22,pairs:2,completionMax:18us [11m11s] 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] # 20886 solved: rounds:2,rules:4,peak:4,longest:8,steps:2,word:3,work:181,nodes:20,pairs:7,completionMax:25us [11m11s] 20886 ab:bb=aa,aaaaa=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20886 ab:bb=aa,aaaaa=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20887 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:171,nodes:20,pairs:7,completionMax:27us [11m11s] 20887 ab:bb=aa,aaaab=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20887 ab:bb=aa,aaaab=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20888 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:149,nodes:20,pairs:2,completionMax:20us [11m11s] 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,ab=bbbbb,bba=bbbbbb,aa=bb [11m11s] # 20889 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:150,nodes:22,pairs:2,completionMax:15us [11m11s] 20889 ab:bb=aa,aaaab=ba finite:11;idempotents:1,bbbbbb;center:1,ab,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,abb=bbbbbb,ba=bbbbb,aa=bb [11m11s] from: 20889 ab:bb=aa,aaaab=ba finite:11;idempotents:1,bbbbbb;center:1,ab,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=b,b=a [11m11s] # 20890 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:173,nodes:20,pairs:7,completionMax:20us [11m11s] 20890 ab:bb=aa,aaaab=bb infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20890 ab:bb=aa,aaaab=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20891 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:522,nodes:24,pairs:6,completionMax:27us [11m11s] 20891 ab:bb=aa,aaaba=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20891 ab:bb=aa,aaaba=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20892 solved: rounds:3,rules:4,peak:8,longest:16,steps:9,word:6,work:2315,nodes:50,pairs:26,completionMax:121us [11m11s] 20892 ab:bb=aa,aaaba=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,ab=bbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20892 ab:bb=aa,aaaba=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=a,b=b [11m11s] # 20893 solved: rounds:3,rules:4,peak:6,longest:9,steps:4,word:6,work:555,nodes:22,pairs:16,completionMax:44us [11m11s] 20893 ab:bb=aa,aaaba=ba finite:11;idempotents:1,bbbbbb;center:1,ab,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,abb=bbbbbb,ba=bbbbb,aa=bb [11m11s] from: 20893 ab:bb=aa,aaaba=ba finite:11;idempotents:1,bbbbbb;center:1,ab,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=b,b=a [11m11s] # 20894 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:524,nodes:24,pairs:6,completionMax:27us [11m11s] 20894 ab:bb=aa,aaaba=bb infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20894 ab:bb=aa,aaaba=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20895 solved: rounds:2,rules:4,peak:4,longest:8,steps:3,word:3,work:259,nodes:20,pairs:4,completionMax:21us [11m11s] 20895 ab:bb=aa,aaabb=aa infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20895 ab:bb=aa,aaabb=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20896 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:145,nodes:22,pairs:2,completionMax:14us [11m11s] 20896 ab:bb=aa,aaabb=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] from: 20896 ab:bb=aa,aaabb=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [11m11s] # 20897 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:144,nodes:20,pairs:2,completionMax:11us [11m11s] 20897 ab:bb=aa,aaabb=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,ba=aaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20897 ab:bb=aa,aaabb=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=b,b=a [11m11s] # 20898 solved: rounds:2,rules:4,peak:4,longest:8,steps:3,word:3,work:257,nodes:20,pairs:4,completionMax:28us [11m11s] 20898 ab:bb=aa,aaabb=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20898 ab:bb=aa,aaabb=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20899 solved: rounds:2,rules:4,peak:4,longest:8,steps:3,word:3,work:252,nodes:20,pairs:4,completionMax:24us [11m11s] 20899 ab:bb=aa,aabaa=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20899 ab:bb=aa,aabaa=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20900 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:149,nodes:20,pairs:2,completionMax:15us [11m11s] 20900 ab:bb=aa,aabaa=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,ab=bbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20900 ab:bb=aa,aabaa=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=a,b=b [11m11s] # 20901 solved: rounds:2,rules:4,peak:4,longest:8,steps:3,word:3,work:254,nodes:20,pairs:4,completionMax:21us [11m11s] 20901 ab:bb=aa,aabaa=bb infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20901 ab:bb=aa,aabaa=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20902 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:529,nodes:24,pairs:6,completionMax:34us [11m11s] 20902 ab:bb=aa,aabab=aa infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20902 ab:bb=aa,aabab=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20903 solved: rounds:3,rules:4,peak:6,longest:9,steps:4,word:6,work:550,nodes:22,pairs:16,completionMax:56us [11m11s] 20903 ab:bb=aa,aabab=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] from: 20903 ab:bb=aa,aabab=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [11m11s] # 20904 solved: rounds:3,rules:4,peak:8,longest:16,steps:9,word:6,work:2310,nodes:50,pairs:26,completionMax:131us [11m11s] 20904 ab:bb=aa,aabab=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,ba=aaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20904 ab:bb=aa,aabab=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=b,b=a [11m11s] # 20905 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:527,nodes:24,pairs:6,completionMax:38us [11m11s] 20905 ab:bb=aa,aabab=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20905 ab:bb=aa,aabab=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20906 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:178,nodes:20,pairs:7,completionMax:18us [11m11s] 20906 ab:bb=aa,aabba=aa infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20906 ab:bb=aa,aabba=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20907 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:145,nodes:22,pairs:2,completionMax:16us [11m11s] 20907 ab:bb=aa,aabba=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] from: 20907 ab:bb=aa,aabba=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [11m11s] # 20908 solved: rounds:1,rules:4,peak:4,longest:9,steps:2,word:3,work:144,nodes:20,pairs:2,completionMax:16us [11m11s] 20908 ab:bb=aa,aabba=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,ba=aaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20908 ab:bb=aa,aabba=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=b,b=a [11m11s] # 20909 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:176,nodes:20,pairs:7,completionMax:23us [11m11s] 20909 ab:bb=aa,aabba=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20909 ab:bb=aa,aabba=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20910 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:171,nodes:20,pairs:8,completionMax:17us [11m11s] 20910 ab:bb=aa,abaab=aa infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20910 ab:bb=aa,abaab=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20911 solved: rounds:3,rules:4,peak:6,longest:10,steps:3,word:3,work:784,nodes:32,pairs:9,completionMax:53us [11m11s] 20911 ab:bb=aa,abaab=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] from: 20911 ab:bb=aa,abaab=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [11m11s] # 20912 solved: rounds:2,rules:4,peak:6,longest:9,steps:6,word:3,work:1148,nodes:34,pairs:13,completionMax:53us [11m11s] 20912 ab:bb=aa,abaab=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,ba=aaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20912 ab:bb=aa,abaab=ba finite:11;idempotents:1,aaaaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=b,b=a [11m11s] # 20913 solved: rounds:2,rules:4,peak:4,longest:8,steps:1,word:3,work:169,nodes:20,pairs:8,completionMax:25us [11m11s] 20913 ab:bb=aa,abaab=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20913 ab:bb=aa,abaab=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=a,b=b [11m11s] # 20914 solved: rounds:2,rules:5,peak:5,longest:10,steps:5,word:6,work:424,nodes:28,pairs:10,completionMax:36us [11m11s] 20914 ab:bb=aa,ababa=aa finite:18;idempotents:1,bbbbbb;center:1,bb,bbb,bbbb,babab,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,abb=bbbbbb,bba=bbbbbb,aa=bb,ababa=bb [11m11s] # 20915 solved: rounds:2,rules:4,peak:8,longest:9,steps:4,word:6,work:1031,nodes:32,pairs:13,completionMax:72us [11m11s] 20915 ab:bb=aa,ababa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a/b - - ab:aaaaaaaaa=aaa,baa=aaaaaa,ab=aaaaa,bb=aa [11m11s] from: 20915 ab:bb=aa,ababa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa a=a,b=b [11m11s] # 20916 solved: rounds:2,rules:5,peak:5,longest:10,steps:5,word:6,work:422,nodes:28,pairs:10,completionMax:48us [11m11s] 20916 ab:bb=aa,ababa=bb finite:18;idempotents:1,bbbbbb;center:1,bb,bbb,bbbb,babab,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,abb=bbbbbb,bba=bbbbbb,aa=bb,ababa=bb [11m11s] from: 20916 ab:bb=aa,ababa=bb finite:18;idempotents:1,bbbbbb;center:1,bb,bbb,bbbb,babab,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb to: 20914 ab:bb=aa,ababa=aa finite:18;idempotents:1,bbbbbb;center:1,bb,bbb,bbbb,babab,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb a=a,b=b [11m11s] # 20917 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:527,nodes:24,pairs:6,completionMax:44us [11m11s] 20917 ab:bb=aa,abbba=aa infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20917 ab:bb=aa,abbba=aa infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20918 solved: rounds:2,rules:4,peak:6,longest:9,steps:3,word:6,work:570,nodes:22,pairs:17,completionMax:67us [11m11s] 20918 ab:bb=aa,abbba=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=bbb,ab=bbbbb,bba=bbbbbb,aa=bb [11m11s] from: 20918 ab:bb=aa,abbba=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb a=a,b=b [11m11s] # 20919 solved: rounds:3,rules:4,peak:5,longest:8,steps:5,word:6,work:529,nodes:24,pairs:6,completionMax:41us [11m11s] 20919 ab:bb=aa,abbba=bb infinite a/b - - ab:aaaaaaaa=aa,baa=aaaaaa,aab=aaaaaa,bb=aa [11m11s] from: 20919 ab:bb=aa,abbba=bb infinite to: 20884 ab:bb=aa,aaaaa=aa infinite a=b,b=a [11m11s] # 20920 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:64,nodes:8,pairs:0,completionMax:5us [11m11s] 20920 ab:ab=aa,aaaa=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] # 20921 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:67,nodes:8,pairs:0,completionMax:4us [11m11s] 20921 ab:ab=aa,aaaa=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20921 ab:ab=aa,aaaa=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20922 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:67,nodes:8,pairs:0,completionMax:4us [11m11s] 20922 ab:ab=aa,aaaa=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20922 ab:ab=aa,aaaa=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20923 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:70,nodes:8,pairs:0,completionMax:2us [11m11s] 20923 ab:ab=aa,aaaa=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20923 ab:ab=aa,aaaa=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20924 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:195,nodes:14,pairs:1,completionMax:8us [11m11s] 20924 ab:ab=aa,aaaa=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] # 20925 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:198,nodes:14,pairs:1,completionMax:16us [11m11s] 20925 ab:ab=aa,aaaa=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20925 ab:ab=aa,aaaa=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20926 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:170,nodes:14,pairs:1,completionMax:11us [11m11s] 20926 ab:ab=aa,aaaa=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] # 20927 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:280,nodes:14,pairs:4,completionMax:18us [11m11s] 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] # 20928 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:68,nodes:8,pairs:0,completionMax:3us [11m11s] 20928 ab:ab=aa,aaab=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20928 ab:ab=aa,aaab=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20929 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:3us [11m11s] 20929 ab:ab=aa,aaab=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20929 ab:ab=aa,aaab=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20930 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:3us [11m11s] 20930 ab:ab=aa,aaab=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20930 ab:ab=aa,aaab=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20931 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:74,nodes:8,pairs:0,completionMax:3us [11m11s] 20931 ab:ab=aa,aaab=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20931 ab:ab=aa,aaab=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20932 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:199,nodes:14,pairs:1,completionMax:9us [11m11s] 20932 ab:ab=aa,aaab=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20932 ab:ab=aa,aaab=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20933 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:202,nodes:14,pairs:1,completionMax:9us [11m11s] 20933 ab:ab=aa,aaab=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20933 ab:ab=aa,aaab=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20934 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:174,nodes:14,pairs:1,completionMax:7us [11m11s] 20934 ab:ab=aa,aaab=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20934 ab:ab=aa,aaab=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20935 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:284,nodes:14,pairs:4,completionMax:18us [11m11s] 20935 ab:ab=aa,aaab=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20935 ab:ab=aa,aaab=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20936 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:68,nodes:8,pairs:0,completionMax:4us [11m11s] 20936 ab:ab=aa,aaba=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20936 ab:ab=aa,aaba=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20937 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:3us [11m11s] 20937 ab:ab=aa,aaba=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20937 ab:ab=aa,aaba=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20938 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:3us [11m11s] 20938 ab:ab=aa,aaba=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20938 ab:ab=aa,aaba=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20939 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:74,nodes:8,pairs:0,completionMax:3us [11m11s] 20939 ab:ab=aa,aaba=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20939 ab:ab=aa,aaba=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20940 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:199,nodes:14,pairs:1,completionMax:11us [11m11s] 20940 ab:ab=aa,aaba=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20940 ab:ab=aa,aaba=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20941 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:202,nodes:14,pairs:1,completionMax:10us [11m11s] 20941 ab:ab=aa,aaba=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20941 ab:ab=aa,aaba=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20942 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:174,nodes:14,pairs:1,completionMax:8us [11m11s] 20942 ab:ab=aa,aaba=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20942 ab:ab=aa,aaba=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20943 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:284,nodes:14,pairs:4,completionMax:16us [11m11s] 20943 ab:ab=aa,aaba=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20943 ab:ab=aa,aaba=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20944 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:72,nodes:8,pairs:0,completionMax:4us [11m11s] 20944 ab:ab=aa,aabb=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20944 ab:ab=aa,aabb=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20945 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:2us [11m11s] 20945 ab:ab=aa,aabb=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20945 ab:ab=aa,aabb=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20946 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:4us [11m11s] 20946 ab:ab=aa,aabb=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20946 ab:ab=aa,aabb=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20947 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:78,nodes:8,pairs:0,completionMax:2us [11m11s] 20947 ab:ab=aa,aabb=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20947 ab:ab=aa,aabb=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20948 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:203,nodes:14,pairs:1,completionMax:10us [11m11s] 20948 ab:ab=aa,aabb=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20948 ab:ab=aa,aabb=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20949 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:206,nodes:14,pairs:1,completionMax:12us [11m11s] 20949 ab:ab=aa,aabb=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20949 ab:ab=aa,aabb=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20950 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:178,nodes:14,pairs:1,completionMax:13us [11m11s] 20950 ab:ab=aa,aabb=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20950 ab:ab=aa,aabb=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20951 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:288,nodes:14,pairs:4,completionMax:18us [11m11s] 20951 ab:ab=aa,aabb=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20951 ab:ab=aa,aabb=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20952 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:68,nodes:8,pairs:0,completionMax:4us [11m11s] 20952 ab:ab=aa,abaa=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20952 ab:ab=aa,abaa=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20953 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:4us [11m11s] 20953 ab:ab=aa,abaa=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20953 ab:ab=aa,abaa=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20954 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:71,nodes:8,pairs:0,completionMax:5us [11m11s] 20954 ab:ab=aa,abaa=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20954 ab:ab=aa,abaa=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20955 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:74,nodes:8,pairs:0,completionMax:4us [11m11s] 20955 ab:ab=aa,abaa=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20955 ab:ab=aa,abaa=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20956 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:199,nodes:14,pairs:1,completionMax:12us [11m11s] 20956 ab:ab=aa,abaa=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20956 ab:ab=aa,abaa=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20957 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:202,nodes:14,pairs:1,completionMax:11us [11m11s] 20957 ab:ab=aa,abaa=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20957 ab:ab=aa,abaa=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20958 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:174,nodes:14,pairs:1,completionMax:10us [11m11s] 20958 ab:ab=aa,abaa=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20958 ab:ab=aa,abaa=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20959 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:284,nodes:14,pairs:4,completionMax:13us [11m11s] 20959 ab:ab=aa,abaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20959 ab:ab=aa,abaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20960 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:72,nodes:8,pairs:0,completionMax:4us [11m11s] 20960 ab:ab=aa,abab=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20960 ab:ab=aa,abab=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20961 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:4us [11m11s] 20961 ab:ab=aa,abab=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20961 ab:ab=aa,abab=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20962 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:3us [11m11s] 20962 ab:ab=aa,abab=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20962 ab:ab=aa,abab=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20963 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:78,nodes:8,pairs:0,completionMax:2us [11m11s] 20963 ab:ab=aa,abab=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20963 ab:ab=aa,abab=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20964 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:203,nodes:14,pairs:1,completionMax:8us [11m11s] 20964 ab:ab=aa,abab=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20964 ab:ab=aa,abab=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20965 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:206,nodes:14,pairs:1,completionMax:8us [11m11s] 20965 ab:ab=aa,abab=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20965 ab:ab=aa,abab=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20966 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:178,nodes:14,pairs:1,completionMax:8us [11m11s] 20966 ab:ab=aa,abab=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20966 ab:ab=aa,abab=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20967 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:288,nodes:14,pairs:4,completionMax:16us [11m11s] 20967 ab:ab=aa,abab=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20967 ab:ab=aa,abab=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20968 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:72,nodes:8,pairs:0,completionMax:4us [11m11s] 20968 ab:ab=aa,abba=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20968 ab:ab=aa,abba=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20969 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:3us [11m11s] 20969 ab:ab=aa,abba=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20969 ab:ab=aa,abba=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20970 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:75,nodes:8,pairs:0,completionMax:3us [11m11s] 20970 ab:ab=aa,abba=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20970 ab:ab=aa,abba=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20971 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:78,nodes:8,pairs:0,completionMax:5us [11m11s] 20971 ab:ab=aa,abba=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20971 ab:ab=aa,abba=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20972 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:203,nodes:14,pairs:1,completionMax:11us [11m11s] 20972 ab:ab=aa,abba=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20972 ab:ab=aa,abba=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20973 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:206,nodes:14,pairs:1,completionMax:11us [11m11s] 20973 ab:ab=aa,abba=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20973 ab:ab=aa,abba=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20974 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:178,nodes:14,pairs:1,completionMax:10us [11m11s] 20974 ab:ab=aa,abba=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20974 ab:ab=aa,abba=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20975 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:288,nodes:14,pairs:4,completionMax:15us [11m11s] 20975 ab:ab=aa,abba=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20975 ab:ab=aa,abba=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20976 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:76,nodes:8,pairs:0,completionMax:3us [11m11s] 20976 ab:ab=aa,abbb=aaa infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20976 ab:ab=aa,abbb=aaa infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20977 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:79,nodes:8,pairs:0,completionMax:2us [11m11s] 20977 ab:ab=aa,abbb=aab infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20977 ab:ab=aa,abbb=aab infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20978 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:79,nodes:8,pairs:0,completionMax:3us [11m11s] 20978 ab:ab=aa,abbb=aba infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20978 ab:ab=aa,abbb=aba infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20979 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:82,nodes:8,pairs:0,completionMax:2us [11m11s] 20979 ab:ab=aa,abbb=abb infinite ab - - ab:ab=aa,aaaa=aaa [11m11s] from: 20979 ab:ab=aa,abbb=abb infinite to: 20920 ab:ab=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 20980 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:207,nodes:14,pairs:1,completionMax:9us [11m11s] 20980 ab:ab=aa,abbb=baa infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20980 ab:ab=aa,abbb=baa infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20981 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:210,nodes:14,pairs:1,completionMax:11us [11m11s] 20981 ab:ab=aa,abbb=bab infinite a/b - - ab:aaaaa=aaaa,baa=aaaa,ab=aa [11m11s] from: 20981 ab:ab=aa,abbb=bab infinite to: 20924 ab:ab=aa,aaaa=baa infinite a=a,b=b [11m11s] # 20982 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:182,nodes:14,pairs:1,completionMax:9us [11m11s] 20982 ab:ab=aa,abbb=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=aaaa [11m11s] from: 20982 ab:ab=aa,abbb=bba infinite to: 20926 ab:ab=aa,aaaa=bba infinite a=a,b=b [11m11s] # 20983 solved: rounds:1,rules:4,peak:4,longest:4,steps:4,word:0,work:292,nodes:14,pairs:4,completionMax:11us [11m11s] 20983 ab:ab=aa,abbb=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa ab - - ab:ab=aa,aaaa=bbb,bbba=bbb,bbbb=bbb [11m11s] from: 20983 ab:ab=aa,abbb=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa to: 20927 ab:ab=aa,aaaa=bbb finite:13;idempotents:1,bbb;center:1,bbb,bbaaa a=a,b=b [11m11s] # 20984 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:185,nodes:16,pairs:1,completionMax:10us [11m11s] 20984 ab:ab=aa,baaa=aaa infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] # 20985 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:188,nodes:16,pairs:1,completionMax:12us [11m11s] 20985 ab:ab=aa,baaa=aab infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20985 ab:ab=aa,baaa=aab infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20986 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:188,nodes:16,pairs:1,completionMax:10us [11m11s] 20986 ab:ab=aa,baaa=aba infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20986 ab:ab=aa,baaa=aba infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20987 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:191,nodes:16,pairs:1,completionMax:10us [11m11s] 20987 ab:ab=aa,baaa=abb infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20987 ab:ab=aa,baaa=abb infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20988 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:212,nodes:16,pairs:1,completionMax:10us [11m11s] 20988 ab:ab=aa,baaa=baa infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] # 20989 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:215,nodes:16,pairs:1,completionMax:10us [11m11s] 20989 ab:ab=aa,baaa=bab infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 20989 ab:ab=aa,baaa=bab infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 20990 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:170,nodes:14,pairs:1,completionMax:19us [11m11s] 20990 ab:ab=aa,baaa=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=baaa [11m11s] # 20991 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:414,nodes:18,pairs:3,completionMax:14us [11m11s] 20991 ab:ab=aa,baaa=bbb finite:13;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=aaaa,ab=aa,bbaaa=baaaa,bbb=baaa [11m11s] # 20992 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:189,nodes:16,pairs:1,completionMax:13us [11m11s] 20992 ab:ab=aa,baab=aaa infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20992 ab:ab=aa,baab=aaa infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20993 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:192,nodes:16,pairs:1,completionMax:8us [11m11s] 20993 ab:ab=aa,baab=aab infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20993 ab:ab=aa,baab=aab infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20994 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:192,nodes:16,pairs:1,completionMax:9us [11m11s] 20994 ab:ab=aa,baab=aba infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20994 ab:ab=aa,baab=aba infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20995 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:195,nodes:16,pairs:1,completionMax:8us [11m11s] 20995 ab:ab=aa,baab=abb infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 20995 ab:ab=aa,baab=abb infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 20996 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:216,nodes:16,pairs:1,completionMax:8us [11m11s] 20996 ab:ab=aa,baab=baa infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 20996 ab:ab=aa,baab=baa infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 20997 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:219,nodes:16,pairs:1,completionMax:9us [11m11s] 20997 ab:ab=aa,baab=bab infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 20997 ab:ab=aa,baab=bab infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 20998 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:174,nodes:14,pairs:1,completionMax:7us [11m11s] 20998 ab:ab=aa,baab=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=baaa [11m11s] from: 20998 ab:ab=aa,baab=bba infinite to: 20990 ab:ab=aa,baaa=bba infinite a=a,b=b [11m11s] # 20999 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:418,nodes:18,pairs:3,completionMax:19us [11m11s] 20999 ab:ab=aa,baab=bbb finite:13;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=aaaa,ab=aa,bbaaa=baaaa,bbb=baaa [11m11s] from: 20999 ab:ab=aa,baab=bbb finite:13;idempotents:1,aaaa,baaaa to: 20991 ab:ab=aa,baaa=bbb finite:13;idempotents:1,aaaa,baaaa a=a,b=b [11m11s] # 21000 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:189,nodes:16,pairs:1,completionMax:11us [11m11s] 21000 ab:ab=aa,baba=aaa infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21000 ab:ab=aa,baba=aaa infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21001 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:192,nodes:16,pairs:1,completionMax:10us [11m11s] 21001 ab:ab=aa,baba=aab infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21001 ab:ab=aa,baba=aab infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21002 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:192,nodes:16,pairs:1,completionMax:10us [11m11s] 21002 ab:ab=aa,baba=aba infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21002 ab:ab=aa,baba=aba infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21003 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:195,nodes:16,pairs:1,completionMax:11us [11m11s] 21003 ab:ab=aa,baba=abb infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21003 ab:ab=aa,baba=abb infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21004 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:216,nodes:16,pairs:1,completionMax:11us [11m11s] 21004 ab:ab=aa,baba=baa infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 21004 ab:ab=aa,baba=baa infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 21005 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:219,nodes:16,pairs:1,completionMax:12us [11m11s] 21005 ab:ab=aa,baba=bab infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 21005 ab:ab=aa,baba=bab infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 21006 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:174,nodes:14,pairs:1,completionMax:11us [11m11s] 21006 ab:ab=aa,baba=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=baaa [11m11s] from: 21006 ab:ab=aa,baba=bba infinite to: 20990 ab:ab=aa,baaa=bba infinite a=a,b=b [11m11s] # 21007 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:418,nodes:18,pairs:3,completionMax:19us [11m11s] 21007 ab:ab=aa,baba=bbb finite:13;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=aaaa,ab=aa,bbaaa=baaaa,bbb=baaa [11m11s] from: 21007 ab:ab=aa,baba=bbb finite:13;idempotents:1,aaaa,baaaa to: 20991 ab:ab=aa,baaa=bbb finite:13;idempotents:1,aaaa,baaaa a=a,b=b [11m11s] # 21008 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:193,nodes:16,pairs:1,completionMax:10us [11m11s] 21008 ab:ab=aa,babb=aaa infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21008 ab:ab=aa,babb=aaa infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21009 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:196,nodes:16,pairs:1,completionMax:7us [11m11s] 21009 ab:ab=aa,babb=aab infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21009 ab:ab=aa,babb=aab infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21010 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:196,nodes:16,pairs:1,completionMax:9us [11m11s] 21010 ab:ab=aa,babb=aba infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21010 ab:ab=aa,babb=aba infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21011 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:199,nodes:16,pairs:1,completionMax:12us [11m11s] 21011 ab:ab=aa,babb=abb infinite ab - - ab:ab=aa,baaa=aaa,aaaaa=aaaa [11m11s] from: 21011 ab:ab=aa,babb=abb infinite to: 20984 ab:ab=aa,baaa=aaa infinite a=a,b=b [11m11s] # 21012 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:220,nodes:16,pairs:1,completionMax:15us [11m11s] 21012 ab:ab=aa,babb=baa infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 21012 ab:ab=aa,babb=baa infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 21013 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:223,nodes:16,pairs:1,completionMax:13us [11m11s] 21013 ab:ab=aa,babb=bab infinite ab - - ab:ab=aa,baaa=baa,aaaaa=aaaa [11m11s] from: 21013 ab:ab=aa,babb=bab infinite to: 20988 ab:ab=aa,baaa=baa infinite a=a,b=b [11m11s] # 21014 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:1,work:178,nodes:14,pairs:1,completionMax:9us [11m11s] 21014 ab:ab=aa,babb=bba infinite a/b - - ab:aaaaa=aaaa,ab=aa,bba=baaa [11m11s] from: 21014 ab:ab=aa,babb=bba infinite to: 20990 ab:ab=aa,baaa=bba infinite a=a,b=b [11m11s] # 21015 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:422,nodes:18,pairs:3,completionMax:27us [11m11s] 21015 ab:ab=aa,babb=bbb finite:13;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=aaaa,ab=aa,bbaaa=baaaa,bbb=baaa [11m11s] from: 21015 ab:ab=aa,babb=bbb finite:13;idempotents:1,aaaa,baaaa to: 20991 ab:ab=aa,baaa=bbb finite:13;idempotents:1,aaaa,baaaa a=a,b=b [11m11s] # 21016 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:181,nodes:16,pairs:1,completionMax:8us [11m11s] 21016 ab:ab=aa,bbaa=aaa infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] # 21017 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:184,nodes:16,pairs:1,completionMax:8us [11m11s] 21017 ab:ab=aa,bbaa=aab infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21017 ab:ab=aa,bbaa=aab infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21018 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:184,nodes:16,pairs:1,completionMax:18us [11m11s] 21018 ab:ab=aa,bbaa=aba infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21018 ab:ab=aa,bbaa=aba infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21019 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:187,nodes:16,pairs:1,completionMax:6us [11m11s] 21019 ab:ab=aa,bbaa=abb infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21019 ab:ab=aa,bbaa=abb infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21020 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:169,nodes:16,pairs:1,completionMax:8us [11m11s] 21020 ab:ab=aa,bbaa=baa infinite ab - - ab:ab=aa,bbaa=baa,aaaaa=aaaa [11m11s] # 21021 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:172,nodes:16,pairs:1,completionMax:14us [11m11s] 21021 ab:ab=aa,bbaa=bab infinite ab - - ab:ab=aa,bbaa=baa,aaaaa=aaaa [11m11s] from: 21021 ab:ab=aa,bbaa=bab infinite to: 21020 ab:ab=aa,bbaa=baa infinite a=a,b=b [11m11s] # 21022 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:205,nodes:16,pairs:1,completionMax:10us [11m11s] 21022 ab:ab=aa,bbaa=bba infinite ab - - ab:ab=aa,bbaa=bba,aaaaa=aaaa [11m11s] # 21023 solved: rounds:1,rules:4,peak:4,longest:5,steps:9,word:0,work:564,nodes:18,pairs:2,completionMax:26us [11m11s] 21023 ab:ab=aa,bbaa=bbb finite:14;idempotents:1,aaaa,bbba,baaaa ab - - ab:ab=aa,bbaa=bbb,bbbb=bbba,aaaaa=aaaa [11m11s] # 21024 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:185,nodes:16,pairs:1,completionMax:7us [11m11s] 21024 ab:ab=aa,bbab=aaa infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21024 ab:ab=aa,bbab=aaa infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21025 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:188,nodes:16,pairs:1,completionMax:10us [11m11s] 21025 ab:ab=aa,bbab=aab infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21025 ab:ab=aa,bbab=aab infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21026 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:188,nodes:16,pairs:1,completionMax:14us [11m11s] 21026 ab:ab=aa,bbab=aba infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21026 ab:ab=aa,bbab=aba infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21027 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:191,nodes:16,pairs:1,completionMax:9us [11m11s] 21027 ab:ab=aa,bbab=abb infinite ab - - ab:ab=aa,bbaa=aaa,aaaaa=aaaa [11m11s] from: 21027 ab:ab=aa,bbab=abb infinite to: 21016 ab:ab=aa,bbaa=aaa infinite a=a,b=b [11m11s] # 21028 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:173,nodes:16,pairs:1,completionMax:10us [11m11s] 21028 ab:ab=aa,bbab=baa infinite ab - - ab:ab=aa,bbaa=baa,aaaaa=aaaa [11m11s] from: 21028 ab:ab=aa,bbab=baa infinite to: 21020 ab:ab=aa,bbaa=baa infinite a=a,b=b [11m11s] # 21029 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:176,nodes:16,pairs:1,completionMax:6us [11m11s] 21029 ab:ab=aa,bbab=bab infinite ab - - ab:ab=aa,bbaa=baa,aaaaa=aaaa [11m11s] from: 21029 ab:ab=aa,bbab=bab infinite to: 21020 ab:ab=aa,bbaa=baa infinite a=a,b=b [11m11s] # 21030 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:209,nodes:16,pairs:1,completionMax:11us [11m11s] 21030 ab:ab=aa,bbab=bba infinite ab - - ab:ab=aa,bbaa=bba,aaaaa=aaaa [11m11s] from: 21030 ab:ab=aa,bbab=bba infinite to: 21022 ab:ab=aa,bbaa=bba infinite a=a,b=b [11m11s] # 21031 solved: rounds:1,rules:4,peak:4,longest:5,steps:9,word:0,work:568,nodes:18,pairs:2,completionMax:23us [11m11s] 21031 ab:ab=aa,bbab=bbb finite:14;idempotents:1,aaaa,bbba,baaaa ab - - ab:ab=aa,bbaa=bbb,bbbb=bbba,aaaaa=aaaa [11m11s] from: 21031 ab:ab=aa,bbab=bbb finite:14;idempotents:1,aaaa,bbba,baaaa to: 21023 ab:ab=aa,bbaa=bbb finite:14;idempotents:1,aaaa,bbba,baaaa a=a,b=b [11m11s] # 21032 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:167,nodes:16,pairs:1,completionMax:12us [11m11s] 21032 ab:ab=aa,bbba=aaa infinite ab - - ab:ab=aa,bbba=aaa,aaaaa=aaaa [11m11s] # 21033 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:170,nodes:16,pairs:1,completionMax:8us [11m11s] 21033 ab:ab=aa,bbba=aab infinite ab - - ab:ab=aa,bbba=aaa,aaaaa=aaaa [11m11s] from: 21033 ab:ab=aa,bbba=aab infinite to: 21032 ab:ab=aa,bbba=aaa infinite a=a,b=b [11m11s] # 21034 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:170,nodes:16,pairs:1,completionMax:8us [11m11s] 21034 ab:ab=aa,bbba=aba infinite ab - - ab:ab=aa,bbba=aaa,aaaaa=aaaa [11m11s] from: 21034 ab:ab=aa,bbba=aba infinite to: 21032 ab:ab=aa,bbba=aaa infinite a=a,b=b [11m11s] # 21035 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:173,nodes:16,pairs:1,completionMax:5us [11m11s] 21035 ab:ab=aa,bbba=abb infinite ab - - ab:ab=aa,bbba=aaa,aaaaa=aaaa [11m11s] from: 21035 ab:ab=aa,bbba=abb infinite to: 21032 ab:ab=aa,bbba=aaa infinite a=a,b=b [11m11s] # 21036 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:164,nodes:16,pairs:1,completionMax:6us [11m11s] 21036 ab:ab=aa,bbba=baa infinite ab - - ab:ab=aa,bbba=baa,aaaaa=aaaa [11m11s] # 21037 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:167,nodes:16,pairs:1,completionMax:18us [11m11s] 21037 ab:ab=aa,bbba=bab infinite ab - - ab:ab=aa,bbba=baa,aaaaa=aaaa [11m11s] from: 21037 ab:ab=aa,bbba=bab infinite to: 21036 ab:ab=aa,bbba=baa infinite a=a,b=b [11m11s] # 21038 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:157,nodes:16,pairs:1,completionMax:8us [11m11s] 21038 ab:ab=aa,bbba=bba infinite ab - - ab:ab=aa,bbba=bba,aaaaa=aaaa [11m11s] # 21039 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:310,nodes:16,pairs:2,completionMax:16us [11m11s] 21039 ab:ab=aa,bbba=bbb finite:16;idempotents:1,bbb,aaaa,baaaa,bbaaaa ab - - ab:ab=aa,bbba=bbb,bbbb=bbb,aaaaa=aaaa [11m11s] # 21040 solved: rounds:1,rules:4,peak:4,longest:5,steps:6,word:0,work:394,nodes:20,pairs:4,completionMax:23us [11m11s] 21040 ab:ab=aa,bbbb=aaa finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa ab - - ab:ab=aa,baaa=aaaa,bbbb=aaa,aaaaa=aaaa [11m11s] # 21041 solved: rounds:1,rules:4,peak:4,longest:5,steps:6,word:0,work:397,nodes:20,pairs:4,completionMax:17us [11m11s] 21041 ab:ab=aa,bbbb=aab finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa ab - - ab:ab=aa,baaa=aaaa,bbbb=aaa,aaaaa=aaaa [11m11s] from: 21041 ab:ab=aa,bbbb=aab finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa to: 21040 ab:ab=aa,bbbb=aaa finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa a=a,b=b [11m11s] # 21042 solved: rounds:1,rules:4,peak:4,longest:5,steps:6,word:0,work:397,nodes:20,pairs:4,completionMax:20us [11m11s] 21042 ab:ab=aa,bbbb=aba finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa ab - - ab:ab=aa,baaa=aaaa,bbbb=aaa,aaaaa=aaaa [11m11s] from: 21042 ab:ab=aa,bbbb=aba finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa to: 21040 ab:ab=aa,bbbb=aaa finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa a=a,b=b [11m11s] # 21043 solved: rounds:1,rules:4,peak:4,longest:5,steps:6,word:0,work:400,nodes:20,pairs:4,completionMax:16us [11m11s] 21043 ab:ab=aa,bbbb=abb finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa ab - - ab:ab=aa,baaa=aaaa,bbbb=aaa,aaaaa=aaaa [11m11s] from: 21043 ab:ab=aa,bbbb=abb finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa to: 21040 ab:ab=aa,bbbb=aaa finite:14;idempotents:1,aaaa;center:1,aaa,aaaa,bbbaa a=a,b=b [11m11s] # 21044 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:322,nodes:18,pairs:4,completionMax:21us [11m11s] 21044 ab:ab=aa,bbbb=baa finite:14;idempotents:1,aaaa,baaaa ab - - ab:ab=aa,bbaa=baaa,bbbb=baa,aaaaa=aaaa [11m11s] # 21045 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:0,work:325,nodes:18,pairs:4,completionMax:21us [11m11s] 21045 ab:ab=aa,bbbb=bab finite:14;idempotents:1,aaaa,baaaa ab - - ab:ab=aa,bbaa=baaa,bbbb=baa,aaaaa=aaaa [11m11s] from: 21045 ab:ab=aa,bbbb=bab finite:14;idempotents:1,aaaa,baaaa to: 21044 ab:ab=aa,bbbb=baa finite:14;idempotents:1,aaaa,baaaa a=a,b=b [11m11s] # 21046 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:1,work:642,nodes:20,pairs:5,completionMax:36us [11m11s] 21046 ab:ab=aa,bbbb=bba finite:14;idempotents:1,abbb,babbb,bbbbb b/a - - ab:bbbbbb=bbbbb,abbbb=abbb,bba=bbbb,aa=ab,aba=abb [11m11s] # 21047 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:195,nodes:16,pairs:1,completionMax:20us [11m11s] 21047 ab:ab=aa,bbbb=bbb finite:20;idempotents:1,bbb,aaaa,baaaa,bbaaaa,bbbaaaa ab - - ab:ab=aa,bbbb=bbb,aaaaa=aaaa [11m11s] # 21048 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:79,nodes:10,pairs:0,completionMax:6us [11m11s] 21048 ab:ba=ab,aaaa=aaa infinite;commutative:ab:a4=a3;saturation:a:;noncancellative:a,1,aaabbb,aaabbb;smith:0 ab - - ab:ba=ab,aaaa=aaa [11m11s] # 21049 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:0,work:84,nodes:10,pairs:0,completionMax:4us [11m11s] 21049 ab:ba=ab,aaaa=aab infinite;commutative:ab:a2b=a4;saturation:a:;noncancellative:aa,b,aaaaaa,aaaaaaaa;smith:0 ab - - ab:ba=ab,aaaa=aab [11m11s] # 21050 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:0,work:87,nodes:10,pairs:0,completionMax:3us [11m11s] 21050 ab:ba=ab,aaaa=aba infinite;commutative:ab:a2b=a4;saturation:a:;noncancellative:aa,b,aaaaaa,aaaaaaaa;smith:0 ab - - ab:ba=ab,aaaa=aab [11m11s] from: 21050 ab:ba=ab,aaaa=aba infinite;commutative:ab:a2b=a4;saturation:a:;noncancellative:aa,b,aaaaaa,aaaaaaaa;smith:0 to: 21049 ab:ba=ab,aaaa=aab infinite;commutative:ab:a2b=a4;saturation:a:;noncancellative:aa,b,aaaaaa,aaaaaaaa;smith:0 a=a,b=b [11m11s] # 21051 solved: rounds:0,rules:2,peak:2,longest:4,steps:7,word:0,work:95,nodes:10,pairs:0,completionMax:4us [11m11s] 21051 ab:ba=ab,aaaa=abb infinite;commutative:ab:ab2=a4;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 ab - - ab:ba=ab,aaaa=abb [11m11s] # 21052 solved: rounds:0,rules:2,peak:2,longest:4,steps:7,word:0,work:98,nodes:10,pairs:0,completionMax:6us [11m11s] 21052 ab:ba=ab,aaaa=bab infinite;commutative:ab:ab2=a4;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 ab - - ab:ba=ab,aaaa=abb [11m11s] from: 21052 ab:ba=ab,aaaa=bab infinite;commutative:ab:ab2=a4;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 to: 21051 ab:ba=ab,aaaa=abb infinite;commutative:ab:ab2=a4;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 a=a,b=b [11m11s] # 21053 solved: rounds:0,rules:2,peak:2,longest:4,steps:9,word:0,work:115,nodes:10,pairs:0,completionMax:5us [11m11s] 21053 ab:ba=ab,aaaa=bbb infinite;commutative:ab:b3=a4;saturation:ab:a3=b4;cancellative;smith:0 ab - - ab:ba=ab,aaaa=bbb [11m11s] # 21054 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:39,nodes:10,pairs:0,completionMax:3us [11m11s] 21054 ab:ba=ab,aaab=aaa infinite;commutative:ab:a3b=a3;saturation:a:;noncancellative:b,1,aaa,aaa;smith:0 ab - - ab:ba=ab,aaab=aaa [11m11s] # 21055 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:39,nodes:10,pairs:0,completionMax:3us [11m11s] 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] # 21056 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:42,nodes:10,pairs:0,completionMax:2us [11m11s] 21056 ab:ba=ab,aaab=aba infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] from: 21056 ab:ba=ab,aaab=aba infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 to: 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 21057 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:31,nodes:10,pairs:0,completionMax:2us [11m11s] 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] # 21058 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:2us [11m11s] 21058 ab:ba=ab,aaab=baa infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] from: 21058 ab:ba=ab,aaab=baa infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 to: 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 21059 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:34,nodes:10,pairs:0,completionMax:2us [11m11s] 21059 ab:ba=ab,aaab=bab infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] from: 21059 ab:ba=ab,aaab=bab infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [11m11s] # 21060 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:37,nodes:10,pairs:0,completionMax:2us [11m11s] 21060 ab:ba=ab,aaab=bba infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] from: 21060 ab:ba=ab,aaab=bba infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [11m11s] # 21061 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:31,nodes:10,pairs:0,completionMax:3us [11m11s] 21061 ab:ba=ab,aaab=bbb infinite;commutative:ab:b3=a3b;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 ab - - ab:ba=ab,aaab=bbb [11m11s] # 21062 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:43,nodes:10,pairs:0,completionMax:3us [11m11s] 21062 ab:ba=ab,aaba=aaa infinite;commutative:ab:a3b=a3;saturation:a:;noncancellative:b,1,aaa,aaa;smith:0 ab - - ab:ba=ab,aaab=aaa [11m11s] from: 21062 ab:ba=ab,aaba=aaa infinite;commutative:ab:a3b=a3;saturation:a:;noncancellative:b,1,aaa,aaa;smith:0 to: 21054 ab:ba=ab,aaab=aaa infinite;commutative:ab:a3b=a3;saturation:a:;noncancellative:b,1,aaa,aaa;smith:0 a=a,b=b [11m11s] # 21063 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:2us [11m11s] 21063 ab:ba=ab,aaba=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] from: 21063 ab:ba=ab,aaba=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 to: 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 21064 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:46,nodes:10,pairs:0,completionMax:2us [11m11s] 21064 ab:ba=ab,aaba=aba infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] from: 21064 ab:ba=ab,aaba=aba infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 to: 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 21065 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:35,nodes:10,pairs:0,completionMax:2us [11m11s] 21065 ab:ba=ab,aaba=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] from: 21065 ab:ba=ab,aaba=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [11m11s] # 21066 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:49,nodes:10,pairs:0,completionMax:4us [11m11s] 21066 ab:ba=ab,aaba=baa infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 ab - - ab:ba=ab,aaab=aab [11m11s] from: 21066 ab:ba=ab,aaba=baa infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 to: 21055 ab:ba=ab,aaab=aab infinite;commutative:ab:a3b=a2b;saturation:a:;noncancellative:a,1,aabb,aabb;smith:0 a=a,b=b [11m11s] # 21067 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:38,nodes:10,pairs:0,completionMax:2us [11m11s] 21067 ab:ba=ab,aaba=bab infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] from: 21067 ab:ba=ab,aaba=bab infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [11m11s] # 21068 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:41,nodes:10,pairs:0,completionMax:2us [11m11s] 21068 ab:ba=ab,aaba=bba infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 ab - - ab:ba=ab,aaab=abb [11m11s] from: 21068 ab:ba=ab,aaba=bba infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 to: 21057 ab:ba=ab,aaab=abb infinite;commutative:ab:ab2=a3b;saturation:a:;noncancellative:aa,b,ab,aaab;smith:0 a=a,b=b [11m11s] # 21069 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:35,nodes:10,pairs:0,completionMax:2us [11m11s] 21069 ab:ba=ab,aaba=bbb infinite;commutative:ab:b3=a3b;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 ab - - ab:ba=ab,aaab=bbb [11m11s] from: 21069 ab:ba=ab,aaba=bbb infinite;commutative:ab:b3=a3b;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 to: 21061 ab:ba=ab,aaab=bbb infinite;commutative:ab:b3=a3b;saturation:ab:a2=b3;noncancellative:aaa,bb,ab,aaaab;smith:0 a=a,b=b [11m11s] # 21070 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:31,nodes:10,pairs:0,completionMax:3us [11m11s] 21070 ab:ba=ab,aabb=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 ab - - ab:ba=ab,aabb=aaa [11m11s] # 21071 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:39,nodes:10,pairs:0,completionMax:2us [11m11s] 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] # 21072 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:42,nodes:10,pairs:0,completionMax:1us [11m11s] 21072 ab:ba=ab,aabb=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21072 ab:ba=ab,aabb=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21073 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:45,nodes:10,pairs:0,completionMax:2us [11m11s] 21073 ab:ba=ab,aabb=baa infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21073 ab:ba=ab,aabb=baa infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21074 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:35,nodes:10,pairs:0,completionMax:2us [11m11s] 21074 ab:ba=ab,abab=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 ab - - ab:ba=ab,aabb=aaa [11m11s] from: 21074 ab:ba=ab,abab=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 to: 21070 ab:ba=ab,aabb=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 a=a,b=b [11m11s] # 21075 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:43,nodes:10,pairs:0,completionMax:2us [11m11s] 21075 ab:ba=ab,abab=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21075 ab:ba=ab,abab=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21076 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:46,nodes:10,pairs:0,completionMax:2us [11m11s] 21076 ab:ba=ab,abab=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21076 ab:ba=ab,abab=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21077 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:49,nodes:10,pairs:0,completionMax:2us [11m11s] 21077 ab:ba=ab,abab=baa infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21077 ab:ba=ab,abab=baa infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21078 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:39,nodes:10,pairs:0,completionMax:4us [11m11s] 21078 ab:ba=ab,abba=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 ab - - ab:ba=ab,aabb=aaa [11m11s] from: 21078 ab:ba=ab,abba=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 to: 21070 ab:ba=ab,aabb=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 a=a,b=b [11m11s] # 21079 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:47,nodes:10,pairs:0,completionMax:3us [11m11s] 21079 ab:ba=ab,abba=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21079 ab:ba=ab,abba=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21080 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:50,nodes:10,pairs:0,completionMax:2us [11m11s] 21080 ab:ba=ab,abba=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 ab - - ab:ba=ab,aabb=aab [11m11s] from: 21080 ab:ba=ab,abba=aba infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=a,b=b [11m11s] # 21081 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:47,nodes:10,pairs:0,completionMax:1us [11m11s] 21081 ab:ba=ab,abba=abb infinite;commutative:ab:a2b2=ab2;saturation:a:;noncancellative:a,1,abb,abb;smith:0 ab - - ab:ba=ab,aabb=abb [11m11s] from: 21081 ab:ba=ab,abba=abb infinite;commutative:ab:a2b2=ab2;saturation:a:;noncancellative:a,1,abb,abb;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=b,b=a [11m11s] # 21082 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:50,nodes:10,pairs:0,completionMax:1us [11m11s] 21082 ab:ba=ab,abba=bab infinite;commutative:ab:a2b2=ab2;saturation:a:;noncancellative:a,1,abb,abb;smith:0 ab - - ab:ba=ab,aabb=abb [11m11s] from: 21082 ab:ba=ab,abba=bab infinite;commutative:ab:a2b2=ab2;saturation:a:;noncancellative:a,1,abb,abb;smith:0 to: 21071 ab:ba=ab,aabb=aab infinite;commutative:ab:a2b2=a2b;saturation:a:;noncancellative:b,1,aab,aab;smith:0 a=b,b=a [11m11s] # 21083 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:39,nodes:10,pairs:0,completionMax:2us [11m11s] 21083 ab:ba=ab,abba=bbb infinite;commutative:ab:b3=a2b2;saturation:a:;noncancellative:aa,b,aabb,aaaabb;smith:0 ab - - ab:ba=ab,aabb=bbb [11m11s] from: 21083 ab:ba=ab,abba=bbb infinite;commutative:ab:b3=a2b2;saturation:a:;noncancellative:aa,b,aabb,aaaabb;smith:0 to: 21070 ab:ba=ab,aabb=aaa infinite;commutative:ab:a3=a2b2;saturation:a:;noncancellative:bb,a,aabb,aabbbb;smith:0 a=b,b=a [11m11s] # 21084 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:242,nodes:16,pairs:2,completionMax:18us [11m11s] 21084 ab:bb=aa,aaaa=aaa infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bb [11m11s] # 21085 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:231,nodes:16,pairs:2,completionMax:13us [11m11s] 21085 ab:bb=aa,aaaa=aab infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21085 ab:bb=aa,aaaa=aab infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21086 solved: rounds:2,rules:5,peak:5,longest:7,steps:6,word:2,work:593,nodes:22,pairs:3,completionMax:30us [11m11s] 21086 ab:bb=aa,aaaa=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaa=aaaaa,aba=aaaa,aab=baa,bb=aa [11m11s] # 21087 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:239,nodes:16,pairs:2,completionMax:10us [11m11s] 21087 ab:bb=aa,aaaa=abb infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bb [11m11s] from: 21087 ab:bb=aa,aaaa=abb infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 21088 solved: rounds:2,rules:5,peak:5,longest:7,steps:6,word:2,work:601,nodes:22,pairs:3,completionMax:35us [11m11s] 21088 ab:bb=aa,aaaa=bab finite:12;idempotents:1,bbbbbb;center:1,bb,aba,abb,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,abbb=bbbbb,bab=bbbb,bba=abb,aa=bb [11m11s] from: 21088 ab:bb=aa,aaaa=bab finite:12;idempotents:1,bbbbbb;center:1,bb,aba,abb,bbb,bbbb,bbbbb,bbbbbb to: 21086 ab:bb=aa,aaaa=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a=b,b=a [11m11s] # 21089 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:234,nodes:16,pairs:2,completionMax:17us [11m11s] 21089 ab:bb=aa,aaaa=bbb infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21089 ab:bb=aa,aaaa=bbb infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21090 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:328,nodes:16,pairs:4,completionMax:25us [11m11s] 21090 ab:bb=aa,aaab=aaa infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] # 21091 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:446,nodes:16,pairs:6,completionMax:35us [11m11s] 21091 ab:bb=aa,aaab=aab infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21091 ab:bb=aa,aaab=aab infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21092 solved: rounds:3,rules:5,peak:7,longest:7,steps:10,word:2,work:3539,nodes:26,pairs:21,completionMax:134us [11m11s] 21092 ab:bb=aa,aaab=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa a/b - - ab:aaaaaa=aaaaa,baaaa=baaa,aba=baaa,aab=baa,bb=aa [11m11s] # 21093 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:331,nodes:16,pairs:4,completionMax:25us [11m11s] 21093 ab:bb=aa,aaab=abb infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] from: 21093 ab:bb=aa,aaab=abb infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=a,b=b [11m11s] # 21094 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:446,nodes:16,pairs:6,completionMax:29us [11m11s] 21094 ab:bb=aa,aaab=baa infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21094 ab:bb=aa,aaab=baa infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21095 solved: rounds:4,rules:5,peak:6,longest:6,steps:7,word:1,work:1258,nodes:24,pairs:9,completionMax:51us [11m11s] 21095 ab:bb=aa,aaab=bab finite:12;idempotents:1,bbbbb;center:1,bb,aba,abb,bbb,abbb,bbbb,bbbbb b/a - - ab:bbbbbb=bbbbb,abbbb=abbb,bab=abbb,bba=abb,aa=bb [11m11s] from: 21095 ab:bb=aa,aaab=bab finite:12;idempotents:1,bbbbb;center:1,bb,aba,abb,bbb,abbb,bbbb,bbbbb to: 21092 ab:bb=aa,aaab=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa a=b,b=a [11m11s] # 21096 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:331,nodes:16,pairs:4,completionMax:22us [11m11s] 21096 ab:bb=aa,aaab=bba infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] from: 21096 ab:bb=aa,aaab=bba infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=a,b=b [11m11s] # 21097 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:443,nodes:16,pairs:6,completionMax:34us [11m11s] 21097 ab:bb=aa,aaab=bbb infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21097 ab:bb=aa,aaab=bbb infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21098 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:439,nodes:16,pairs:6,completionMax:26us [11m11s] 21098 ab:bb=aa,aaba=aaa infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] from: 21098 ab:bb=aa,aaba=aaa infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=a,b=b [11m11s] # 21099 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:335,nodes:16,pairs:4,completionMax:18us [11m11s] 21099 ab:bb=aa,aaba=aab infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21099 ab:bb=aa,aaba=aab infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21100 solved: rounds:4,rules:5,peak:6,longest:6,steps:7,word:1,work:1254,nodes:24,pairs:9,completionMax:65us [11m11s] 21100 ab:bb=aa,aaba=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa a/b - - ab:aaaaaa=aaaaa,baaaa=baaa,aba=baaa,aab=baa,bb=aa [11m11s] from: 21100 ab:bb=aa,aaba=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa to: 21092 ab:bb=aa,aaab=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa a=a,b=b [11m11s] # 21101 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:442,nodes:16,pairs:6,completionMax:27us [11m11s] 21101 ab:bb=aa,aaba=abb infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] from: 21101 ab:bb=aa,aaba=abb infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=a,b=b [11m11s] # 21102 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:335,nodes:16,pairs:4,completionMax:18us [11m11s] 21102 ab:bb=aa,aaba=baa infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21102 ab:bb=aa,aaba=baa infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21103 solved: rounds:3,rules:5,peak:7,longest:7,steps:10,word:2,work:3543,nodes:26,pairs:21,completionMax:94us [11m11s] 21103 ab:bb=aa,aaba=bab finite:12;idempotents:1,bbbbb;center:1,bb,aba,abb,bbb,abbb,bbbb,bbbbb b/a - - ab:bbbbbb=bbbbb,abbbb=abbb,bab=abbb,bba=abb,aa=bb [11m11s] from: 21103 ab:bb=aa,aaba=bab finite:12;idempotents:1,bbbbb;center:1,bb,aba,abb,bbb,abbb,bbbb,bbbbb to: 21092 ab:bb=aa,aaab=aba finite:12;idempotents:1,aaaaa;center:1,aa,aaa,baa,bab,aaaa,baaa,aaaaa a=b,b=a [11m11s] # 21104 solved: rounds:3,rules:5,peak:6,longest:5,steps:3,word:0,work:442,nodes:16,pairs:6,completionMax:42us [11m11s] 21104 ab:bb=aa,aaba=bba infinite ab - - ab:bb=aa,baa=aab,aaab=aaa,aaba=aaa,aaaaa=aaa [11m11s] from: 21104 ab:bb=aa,aaba=bba infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=a,b=b [11m11s] # 21105 solved: rounds:2,rules:5,peak:5,longest:5,steps:3,word:0,work:332,nodes:16,pairs:4,completionMax:32us [11m11s] 21105 ab:bb=aa,aaba=bbb infinite ba - - ab:aa=bb,abb=bba,bbba=bbb,bbab=bbb,bbbbb=bbb [11m11s] from: 21105 ab:bb=aa,aaba=bbb infinite to: 21090 ab:bb=aa,aaab=aaa infinite a=b,b=a [11m11s] # 21106 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:238,nodes:16,pairs:2,completionMax:17us [11m11s] 21106 ab:bb=aa,aabb=aaa infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bb [11m11s] from: 21106 ab:bb=aa,aabb=aaa infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 21107 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:235,nodes:16,pairs:2,completionMax:14us [11m11s] 21107 ab:bb=aa,aabb=aab infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21107 ab:bb=aa,aabb=aab infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21108 solved: rounds:2,rules:5,peak:5,longest:7,steps:6,word:2,work:597,nodes:22,pairs:3,completionMax:31us [11m11s] 21108 ab:bb=aa,aabb=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaa=aaaaa,aba=aaaa,aab=baa,bb=aa [11m11s] from: 21108 ab:bb=aa,aabb=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa to: 21086 ab:bb=aa,aaaa=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a=a,b=b [11m11s] # 21109 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:235,nodes:16,pairs:2,completionMax:15us [11m11s] 21109 ab:bb=aa,aabb=baa infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21109 ab:bb=aa,aabb=baa infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21110 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:1,work:615,nodes:20,pairs:10,completionMax:31us [11m11s] 21110 ab:bb=aa,abab=aaa finite:14;idempotents:1,bbbb;center:1,bb,babb,bbbb,bbbbb b/a - - ab:bbbbbb=bbbb,abbb=bbbbb,bba=abb,aa=bb,abab=abb [11m11s] # 21111 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:1,work:601,nodes:20,pairs:10,completionMax:40us [11m11s] 21111 ab:bb=aa,abab=aab finite:14;idempotents:1,aaaa;center:1,aa,aaaa,aaba,aaaaa reversed:a/b - - ab:aaaaaa=aaaa,aaab=aaaaa,baa=aab,bb=aa,abab=aab [11m11s] from: 21111 ab:bb=aa,abab=aab finite:14;idempotents:1,aaaa;center:1,aa,aaaa,aaba,aaaaa to: 21110 ab:bb=aa,abab=aaa finite:14;idempotents:1,bbbb;center:1,bb,babb,bbbb,bbbbb anti:a=b,b=a [11m11s] # 21112 solved: rounds:2,rules:5,peak:8,longest:7,steps:10,word:3,work:2335,nodes:26,pairs:17,completionMax:93us [11m11s] 21112 ab:bb=aa,abab=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaa=aaaaa,aba=aaaaaa,aab=baa,bb=aa [11m11s] # 21113 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:1,work:612,nodes:20,pairs:10,completionMax:38us [11m11s] 21113 ab:bb=aa,abab=baa finite:14;idempotents:1,aaaa;center:1,aa,aaaa,aaba,aaaaa reversed:a/b - - ab:aaaaaa=aaaa,aaab=aaaaa,baa=aab,bb=aa,abab=aab [11m11s] from: 21113 ab:bb=aa,abab=baa finite:14;idempotents:1,aaaa;center:1,aa,aaaa,aaba,aaaaa to: 21110 ab:bb=aa,abab=aaa finite:14;idempotents:1,bbbb;center:1,bb,babb,bbbb,bbbbb anti:a=b,b=a [11m11s] # 21114 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:1,work:416,nodes:16,pairs:14,completionMax:30us [11m11s] 21114 ab:bb=aa,abba=aaa infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bb [11m11s] from: 21114 ab:bb=aa,abba=aaa infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 21115 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:235,nodes:16,pairs:2,completionMax:15us [11m11s] 21115 ab:bb=aa,abba=aab infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21115 ab:bb=aa,abba=aab infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21116 solved: rounds:2,rules:5,peak:5,longest:7,steps:6,word:2,work:597,nodes:22,pairs:3,completionMax:32us [11m11s] 21116 ab:bb=aa,abba=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a/b - - ab:aaaaaaa=aaaaa,baaa=aaaaa,aba=aaaa,aab=baa,bb=aa [11m11s] from: 21116 ab:bb=aa,abba=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa to: 21086 ab:bb=aa,aaaa=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a=a,b=b [11m11s] # 21117 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:1,work:398,nodes:16,pairs:14,completionMax:37us [11m11s] 21117 ab:bb=aa,abba=abb infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,bba=bbbb,aa=bb [11m11s] from: 21117 ab:bb=aa,abba=abb infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=a,b=b [11m11s] # 21118 solved: rounds:3,rules:5,peak:10,longest:11,steps:13,word:4,work:7037,nodes:42,pairs:28,completionMax:213us [11m11s] 21118 ab:bb=aa,abba=bab finite:12;idempotents:1,bbbbbb;center:1,bb,aba,abb,bbb,bbbb,bbbbb,bbbbbb b/a - - ab:bbbbbbb=bbbbb,abbb=bbbbb,bab=bbbb,bba=abb,aa=bb [11m11s] from: 21118 ab:bb=aa,abba=bab finite:12;idempotents:1,bbbbbb;center:1,bb,aba,abb,bbb,bbbb,bbbbb,bbbbbb to: 21086 ab:bb=aa,aaaa=aba finite:12;idempotents:1,aaaaaa;center:1,aa,aaa,baa,bab,aaaa,aaaaa,aaaaaa a=b,b=a [11m11s] # 21119 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:1,work:238,nodes:16,pairs:2,completionMax:14us [11m11s] 21119 ab:bb=aa,abba=bbb infinite a/b - - ab:aaaaaa=aaaa,baa=aaaa,aab=aaaa,bb=aa [11m11s] from: 21119 ab:bb=aa,abba=bbb infinite to: 21084 ab:bb=aa,aaaa=aaa infinite a=b,b=a [11m11s] # 21120 solved: rounds:1,rules:1,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:4,completionMax:7us [11m11s] 21120 ab:aaa=1,aaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 21120 ab:aaa=1,aaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 21121 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:3us [11m11s] 21121 ab:aaa=1,aaaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 21121 ab:aaa=1,aaaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 21122 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:8,pairs:1,completionMax:2us [11m11s] 21122 ab:aaa=1,aaaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 21122 ab:aaa=1,aaaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 21123 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m11s] 21123 ab:aaa=1,aaaaaabb=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21123 ab:aaa=1,aaaaaabb=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21124 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:102,nodes:14,pairs:15,completionMax:20us [11m11s] 21124 ab:aaa=1,aaaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 21124 ab:aaa=1,aaaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 21125 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:91,nodes:14,pairs:7,completionMax:15us [11m11s] 21125 ab:aaa=1,aaaaabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21125 ab:aaa=1,aaaaabab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21126 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:67,nodes:14,pairs:9,completionMax:15us [11m11s] 21126 ab:aaa=1,aaaaabba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21126 ab:aaa=1,aaaaabba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21127 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:74,nodes:18,pairs:7,completionMax:14us [11m11s] 21127 ab:aaa=1,aaaaabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21127 ab:aaa=1,aaaaabbb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21128 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:5us [11m11s] 21128 ab:aaa=1,aaaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 21128 ab:aaa=1,aaaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 21129 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:172,nodes:18,pairs:12,completionMax:32us [11m11s] 21129 ab:aaa=1,aaaabaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21129 ab:aaa=1,aaaabaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21130 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:0,work:154,nodes:16,pairs:9,completionMax:21us [11m11s] 21130 ab:aaa=1,aaaababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21130 ab:aaa=1,aaaababa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21131 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1080,nodes:26,pairs:33,completionMax:112us [11m11s] 21131 ab:aaa=1,aaaababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21131 ab:aaa=1,aaaababb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21132 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:63,nodes:18,pairs:9,completionMax:20us [11m11s] 21132 ab:aaa=1,aaaabbaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21132 ab:aaa=1,aaaabbaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21133 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:217,nodes:22,pairs:11,completionMax:30us [11m11s] 21133 ab:aaa=1,aaaabbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21133 ab:aaa=1,aaaabbab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21134 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:159,nodes:20,pairs:11,completionMax:24us [11m11s] 21134 ab:aaa=1,aaaabbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21134 ab:aaa=1,aaaabbba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21135 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:98,nodes:32,pairs:5,completionMax:21us [11m11s] 21135 ab:aaa=1,aaaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21135 ab:aaa=1,aaaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21136 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:1us [11m11s] 21136 ab:aaa=1,aaabaaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21136 ab:aaa=1,aaabaaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21137 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:210,nodes:18,pairs:9,completionMax:25us [11m11s] 21137 ab:aaa=1,aaabaaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21137 ab:aaa=1,aaabaaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21138 solved: rounds:4,rules:2,peak:7,longest:10,steps:5,word:4,work:872,nodes:38,pairs:25,completionMax:75us [11m11s] 21138 ab:aaa=1,aaabaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21138 ab:aaa=1,aaabaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21139 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:78,nodes:14,pairs:7,completionMax:15us [11m11s] 21139 ab:aaa=1,aaababaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21139 ab:aaa=1,aaababaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21140 solved: rounds:2,rules:2,peak:4,longest:9,steps:6,word:4,work:200,nodes:22,pairs:5,completionMax:15us [11m11s] 21140 ab:aaa=1,aaababab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21140 ab:aaa=1,aaababab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21141 solved: rounds:2,rules:2,peak:4,longest:9,steps:7,word:4,work:238,nodes:20,pairs:8,completionMax:22us [11m11s] 21141 ab:aaa=1,aaababba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21141 ab:aaa=1,aaababba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21142 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:484,nodes:24,pairs:10,completionMax:38us [11m11s] 21142 ab:aaa=1,aaababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21142 ab:aaa=1,aaababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21143 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:2us [11m11s] 21143 ab:aaa=1,aaabbaaa=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21143 ab:aaa=1,aaabbaaa=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21144 solved: rounds:4,rules:2,peak:10,longest:11,steps:3,word:4,work:1511,nodes:42,pairs:38,completionMax:155us [11m11s] 21144 ab:aaa=1,aaabbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21144 ab:aaa=1,aaabbaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21145 solved: rounds:4,rules:2,peak:6,longest:9,steps:8,word:4,work:650,nodes:26,pairs:29,completionMax:82us [11m11s] 21145 ab:aaa=1,aaabbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21145 ab:aaa=1,aaabbaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21146 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:500,nodes:24,pairs:17,completionMax:53us [11m11s] 21146 ab:aaa=1,aaabbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21146 ab:aaa=1,aaabbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21147 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:68,nodes:18,pairs:6,completionMax:19us [11m11s] 21147 ab:aaa=1,aaabbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21147 ab:aaa=1,aaabbbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21148 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:7,work:512,nodes:24,pairs:17,completionMax:70us [11m11s] 21148 ab:aaa=1,aaabbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21148 ab:aaa=1,aaabbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21149 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:79,nodes:26,pairs:5,completionMax:27us [11m11s] 21149 ab:aaa=1,aaabbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21149 ab:aaa=1,aaabbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21150 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:14,pairs:0,completionMax:4us [11m11s] 21150 ab:aaa=1,aaabbbbb=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [11m11s] from: 21150 ab:aaa=1,aaabbbbb=1 infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [11m11s] # 21151 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:94,nodes:14,pairs:7,completionMax:19us [11m11s] 21151 ab:aaa=1,aabaaaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21151 ab:aaa=1,aabaaaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21152 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:70,nodes:14,pairs:9,completionMax:16us [11m11s] 21152 ab:aaa=1,aabaaaba=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21152 ab:aaa=1,aabaaaba=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21153 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:77,nodes:18,pairs:7,completionMax:19us [11m11s] 21153 ab:aaa=1,aabaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21153 ab:aaa=1,aabaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21154 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:279,nodes:22,pairs:14,completionMax:29us [11m11s] 21154 ab:aaa=1,aabaabaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21154 ab:aaa=1,aabaabaa=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21155 solved: rounds:5,rules:2,peak:10,longest:13,steps:17,word:6,work:2177,nodes:54,pairs:58,completionMax:203us [11m11s] 21155 ab:aaa=1,aabaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21155 ab:aaa=1,aabaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21156 solved: rounds:4,rules:2,peak:7,longest:9,steps:7,word:6,work:1317,nodes:26,pairs:46,completionMax:138us [11m11s] 21156 ab:aaa=1,aabaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21156 ab:aaa=1,aabaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21157 solved: rounds:5,rules:4,peak:8,longest:14,steps:9,word:9,work:2334,nodes:62,pairs:22,completionMax:155us [11m11s] 21157 ab:aaa=1,aabaabbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbbbbbb,aba=bbbbb [11m11s] from: 21157 ab:aaa=1,aabaabbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb to: 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21158 solved: rounds:4,rules:2,peak:7,longest:9,steps:9,word:2,work:1627,nodes:34,pairs:45,completionMax:166us [11m11s] 21158 ab:aaa=1,aababaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21158 ab:aaa=1,aababaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21159 solved: rounds:4,rules:2,peak:5,longest:9,steps:6,word:4,work:551,nodes:26,pairs:28,completionMax:72us [11m11s] 21159 ab:aaa=1,aabababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21159 ab:aaa=1,aabababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21160 solved: rounds:5,rules:7,peak:20,longest:22,steps:21,word:19,work:35993,nodes:74,pairs:250,completionMax:1791us [11m11s] 21160 ab:aaa=1,aabababb=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [11m11s] from: 21160 ab:aaa=1,aabababb=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21161 solved: rounds:4,rules:2,peak:8,longest:10,steps:13,word:4,work:2054,nodes:40,pairs:42,completionMax:135us [11m11s] 21161 ab:aaa=1,aababbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21161 ab:aaa=1,aababbaa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21162 solved: rounds:3,rules:4,peak:4,longest:8,steps:4,word:4,work:232,nodes:24,pairs:11,completionMax:34us [11m11s] 21162 ab:aaa=1,aababbab=1 infinite;group:a-aa,b-cacc,c-ccc ac/b ab=c frequency:2/0 abc:aaa=1,cca=acc,cccc=1,b=aac [11m11s] from: 21162 ab:aaa=1,aababbab=1 infinite;group:a-aa,b-cacc,c-ccc to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=aab,c=b [11m11s] # 21163 solved: rounds:7,rules:2,peak:5,longest:12,steps:7,word:7,work:785,nodes:26,pairs:34,completionMax:130us [11m11s] 21163 ab:aaa=1,aababbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21163 ab:aaa=1,aababbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21164 solved: rounds:6,rules:3,peak:26,longest:74,steps:69,word:120,work:688447,nodes:402,pairs:351,completionMax:17250us [11m11s] 21164 ab:aaa=1,aababbbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbbbbbbbbba,aaa=1 [11m11s] from: 21164 ab:aaa=1,aababbbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21165 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:78,nodes:18,pairs:7,completionMax:19us [11m11s] 21165 ab:aaa=1,aabbaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21165 ab:aaa=1,aabbaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21166 solved: rounds:5,rules:2,peak:11,longest:9,steps:22,word:4,work:5592,nodes:40,pairs:47,completionMax:250us [11m11s] 21166 ab:aaa=1,aabbaaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21166 ab:aaa=1,aabbaaba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21167 solved: rounds:3,rules:5,peak:6,longest:8,steps:4,word:4,work:508,nodes:45,pairs:16,completionMax:72us [11m11s] 21167 ab:aaa=1,aabbaabb=1 infinite;group:a-c,b-bcbbc,c-cc bc/a aa=c frequency:2/0 abc:ccc=1,bbcbb=cc,cbbcb=bcbbc,ccbcbb=bbcbcc,a=cc [11m11s] from: 21167 ab:aaa=1,aabbaabb=1 infinite;group:a-c,b-bcbbc,c-cc to: 7546 ab:aaa=1,bbaabb=a infinite;group:a-c,b-bcbbc,c-cc a=cc,b=b,c=c [11m11s] # 21168 solved: rounds:5,rules:7,peak:26,longest:16,steps:16,word:19,work:50787,nodes:148,pairs:123,completionMax:1261us [11m11s] 21168 ab:aaa=1,aabbabab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbb=1,abbb=bbba,aba=bbbbbbbabb,aab=bbbbbbbbbbbabba,abbabb=bbbbaa,aaa=1,abbaa=bbbbbab [11m11s] from: 21168 ab:aaa=1,aabbabab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb anti:a=a,b=b [11m11s] # 21169 solved: rounds:4,rules:2,peak:11,longest:12,steps:11,word:14,work:4037,nodes:44,pairs:55,completionMax:250us [11m11s] 21169 ab:aaa=1,aabbabba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21169 ab:aaa=1,aabbabba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21170 solved: rounds:5,rules:3,peak:19,longest:35,steps:23,word:40,work:52542,nodes:164,pairs:139,completionMax:2378us [11m11s] 21170 ab:aaa=1,aabbabbb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21170 ab:aaa=1,aabbabbb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21171 solved: rounds:3,rules:4,peak:13,longest:14,steps:12,word:9,work:7022,nodes:82,pairs:48,completionMax:562us [11m11s] 21171 ab:aaa=1,aabbbaab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbbbbbb,aba=bbbbb [11m11s] from: 21171 ab:aaa=1,aabbbaab=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb to: 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21172 solved: rounds:5,rules:2,peak:10,longest:17,steps:20,word:16,work:5871,nodes:66,pairs:59,completionMax:360us [11m11s] 21172 ab:aaa=1,aabbbaba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21172 ab:aaa=1,aabbbaba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21173 solved: rounds:6,rules:3,peak:15,longest:36,steps:45,word:40,work:34274,nodes:168,pairs:159,completionMax:1502us [11m11s] 21173 ab:aaa=1,aabbbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aaa=1 [11m11s] # 21174 solved: rounds:4,rules:2,peak:6,longest:12,steps:2,word:7,work:398,nodes:28,pairs:34,completionMax:87us [11m11s] 21174 ab:aaa=1,aabbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21174 ab:aaa=1,aabbbbaa=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21175 solved: rounds:7,rules:3,peak:27,longest:95,steps:34,word:125,work:294323,nodes:368,pairs:458,completionMax:12527us [11m11s] 21175 ab:aaa=1,aabbbbab=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21175 ab:aaa=1,aabbbbab=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 21176 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:97,nodes:26,pairs:9,completionMax:27us [11m11s] 21176 ab:aaa=1,aabbbbba=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [11m11s] from: 21176 ab:aaa=1,aabbbbba=1 infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [11m11s] # 21177 solved: rounds:2,rules:2,peak:3,longest:18,steps:2,word:10,work:131,nodes:36,pairs:7,completionMax:32us [11m11s] 21177 ab:aaa=1,aabbbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21177 ab:aaa=1,aabbbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21178 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:174,nodes:18,pairs:12,completionMax:39us [11m11s] 21178 ab:aaa=1,abaaaaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21178 ab:aaa=1,abaaaaab=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21179 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:0,work:156,nodes:16,pairs:9,completionMax:27us [11m11s] 21179 ab:aaa=1,abaaaaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 21179 ab:aaa=1,abaaaaba=1 finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 21180 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1082,nodes:26,pairs:33,completionMax:112us [11m11s] 21180 ab:aaa=1,abaaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21180 ab:aaa=1,abaaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21181 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:219,nodes:22,pairs:11,completionMax:30us [11m11s] 21181 ab:aaa=1,abaaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21181 ab:aaa=1,abaaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21182 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:161,nodes:20,pairs:11,completionMax:27us [11m11s] 21182 ab:aaa=1,abaaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21182 ab:aaa=1,abaaabba=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21183 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:100,nodes:32,pairs:5,completionMax:22us [11m11s] 21183 ab:aaa=1,abaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21183 ab:aaa=1,abaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21184 solved: rounds:2,rules:2,peak:6,longest:9,steps:40,word:10,work:3877,nodes:32,pairs:19,completionMax:97us [11m11s] 21184 ab:aaa=1,abaabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21184 ab:aaa=1,abaabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21185 solved: rounds:3,rules:2,peak:7,longest:12,steps:65,word:8,work:5402,nodes:50,pairs:28,completionMax:209us [11m11s] 21185 ab:aaa=1,abaababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21185 ab:aaa=1,abaababa=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21186 solved: rounds:5,rules:4,peak:14,longest:10,steps:6,word:4,work:4228,nodes:99,pairs:117,completionMax:446us [11m11s] 21186 ab:aaa=1,abaababb=1 infinite;group:a-aa,b-cacc,c-ccc ac/b ab=c frequency:2/1 abc:aaa=1,cca=acc,cccc=1,b=aac [11m11s] from: 21186 ab:aaa=1,abaababb=1 infinite;group:a-aa,b-cacc,c-ccc to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=aab,c=b [11m11s] # 21187 solved: rounds:6,rules:7,peak:11,longest:15,steps:17,word:19,work:9209,nodes:60,pairs:92,completionMax:643us [11m11s] 21187 ab:aaa=1,abaabbab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbb=1,abbb=bbba,aba=bbbbbbbabb,aab=bbbbbbbbbbbabba,abbabb=bbbbaa,aaa=1,abbaa=bbbbbab [11m11s] from: 21187 ab:aaa=1,abaabbab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb anti:a=a,b=b [11m11s] # 21188 solved: rounds:4,rules:4,peak:10,longest:14,steps:14,word:9,work:4308,nodes:62,pairs:53,completionMax:354us [11m11s] 21188 ab:aaa=1,abaabbba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbbbbbb,aba=bbbbb [11m11s] from: 21188 ab:aaa=1,abaabbba=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb to: 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21189 solved: rounds:6,rules:3,peak:27,longest:66,steps:48,word:60,work:350924,nodes:492,pairs:627,completionMax:16850us [11m11s] 21189 ab:aaa=1,abaabbbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21189 ab:aaa=1,abaabbbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 21190 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1084,nodes:26,pairs:33,completionMax:97us [11m11s] 21190 ab:aaa=1,ababaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21190 ab:aaa=1,ababaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21191 solved: rounds:6,rules:7,peak:21,longest:16,steps:18,word:19,work:40835,nodes:108,pairs:188,completionMax:1293us [11m11s] 21191 ab:aaa=1,ababaabb=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbb=1,abbb=bbba,aba=bbbbbbbabb,aab=bbbbbbbbbbbabba,abbabb=bbbbaa,aaa=1,abbaa=bbbbbab [11m11s] from: 21191 ab:aaa=1,ababaabb=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb anti:a=a,b=b [11m11s] # 21192 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:0,work:60,nodes:30,pairs:1,completionMax:17us [11m11s] 21192 ab:aaa=1,abababab=1 infinite;group:a-aa,b-abababa ab - - ab:aaa=1,bababab=aa [11m11s] # 21193 solved: rounds:6,rules:7,peak:26,longest:16,steps:16,word:19,work:51145,nodes:148,pairs:138,completionMax:2012us [11m11s] 21193 ab:aaa=1,abababba=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [11m11s] from: 21193 ab:aaa=1,abababba=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21194 solved: rounds:6,rules:5,peak:12,longest:24,steps:28,word:15,work:18736,nodes:110,pairs:57,completionMax:736us [11m11s] 21194 ab:aaa=1,abababbb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,baa=ababbbbb,baba=aabbbbbbbbbbbbbbbbb,aaa=1 [11m11s] # 21195 solved: rounds:6,rules:7,peak:17,longest:16,steps:20,word:19,work:22235,nodes:106,pairs:96,completionMax:1012us [11m11s] 21195 ab:aaa=1,ababbaab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [11m11s] from: 21195 ab:aaa=1,ababbaab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21196 solved: rounds:4,rules:7,peak:19,longest:8,steps:6,word:2,work:4477,nodes:66,pairs:78,completionMax:456us [11m11s] 21196 ab:aaa=1,ababbaba=1 infinite;group:a-cbcc,b-accc,c-ccc c/ba ba=c frequency:2/1 abc:cccc=1,ccb=bcc,cca=acc,bcb=cacc,ba=c,acb=cc,aa=cbcc [11m11s] from: 21196 ab:aaa=1,ababbaba=1 infinite;group:a-cbcc,b-accc,c-ccc to: 7542 ab:aaa=1,babbab=a infinite;group:a-cbcc,b-accc,c-ccc a=a,b=b,c=c [11m11s] # 21197 solved: rounds:4,rules:3,peak:8,longest:8,steps:7,word:0,work:1605,nodes:30,pairs:32,completionMax:103us [11m11s] 21197 ab:aaa=1,ababbabb=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb ab - - ab:ba=ab,aaa=1,bbbbb=1 [11m11s] from: 21197 ab:aaa=1,ababbabb=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=aaaaaa [11m11s] # 21198 solved: rounds:5,rules:5,peak:9,longest:25,steps:35,word:17,work:15389,nodes:106,pairs:40,completionMax:527us [11m11s] 21198 ab:aaa=1,ababbbab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,baa=ababbbbb,baba=aabbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21198 ab:aaa=1,ababbbab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb to: 21194 ab:aaa=1,abababbb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21199 solved: rounds:9,rules:3,peak:21,longest:116,steps:81,word:630,work:344716,nodes:402,pairs:299,completionMax:31704us [11m11s] 21199 ab:aaa=1,ababbbba=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [11m11s] # 21200 solved: rounds:6,rules:6,peak:21,longest:72,steps:57,word:118,work:562907,nodes:298,pairs:220,completionMax:18933us [11m11s] 21200 ab:aaa=1,ababbbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] # 21201 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:220,nodes:22,pairs:11,completionMax:39us [11m11s] 21201 ab:aaa=1,abbaaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21201 ab:aaa=1,abbaaaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21202 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:101,nodes:32,pairs:5,completionMax:24us [11m11s] 21202 ab:aaa=1,abbaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21202 ab:aaa=1,abbaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21203 solved: rounds:5,rules:7,peak:22,longest:17,steps:13,word:19,work:43357,nodes:106,pairs:144,completionMax:1798us [11m11s] 21203 ab:aaa=1,abbaabab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [11m11s] from: 21203 ab:aaa=1,abbaabab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21204 solved: rounds:4,rules:5,peak:7,longest:8,steps:4,word:1,work:1079,nodes:51,pairs:27,completionMax:117us [11m11s] 21204 ab:aaa=1,abbaabba=1 infinite;group:a-c,b-bcbbc,c-cc bc/a aa=c frequency:2/0 abc:ccc=1,bbcbb=cc,cbbcb=bcbbc,ccbcbb=bbcbcc,a=cc [11m11s] from: 21204 ab:aaa=1,abbaabba=1 infinite;group:a-c,b-bcbbc,c-cc to: 7546 ab:aaa=1,bbaabb=a infinite;group:a-c,b-bcbbc,c-cc a=cc,b=b,c=c [11m11s] # 21205 solved: rounds:6,rules:3,peak:25,longest:41,steps:45,word:60,work:224811,nodes:328,pairs:476,completionMax:10413us [11m11s] 21205 ab:aaa=1,abbaabbb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aaa=1 [11m11s] from: 21205 ab:aaa=1,abbaabbb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21173 ab:aaa=1,aabbbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21206 solved: rounds:2,rules:4,peak:7,longest:8,steps:6,word:4,work:764,nodes:51,pairs:16,completionMax:76us [11m11s] 21206 ab:aaa=1,abbabaab=1 infinite;group:a-aa,b-accc,c-ccc ac/b ba=c frequency:2/0 abc:aaa=1,cca=acc,cccc=1,b=caa [11m11s] from: 21206 ab:aaa=1,abbabaab=1 infinite;group:a-aa,b-accc,c-ccc to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=baa,c=b [11m11s] # 21207 solved: rounds:4,rules:3,peak:14,longest:9,steps:8,word:0,work:6002,nodes:56,pairs:93,completionMax:405us [11m11s] 21207 ab:aaa=1,abbababb=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb ab - - ab:ba=ab,aaa=1,bbbbb=1 [11m11s] from: 21207 ab:aaa=1,abbababb=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=aaaaaa [11m11s] # 21208 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:0,work:896,nodes:30,pairs:23,completionMax:77us [11m11s] 21208 ab:aaa=1,abbabbab=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb ab - - ab:ba=ab,aaa=1,bbbbb=1 [11m11s] from: 21208 ab:aaa=1,abbabbab=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=aaaaaa [11m11s] # 21209 solved: rounds:6,rules:3,peak:25,longest:45,steps:71,word:47,work:174132,nodes:274,pairs:256,completionMax:6466us [11m11s] 21209 ab:aaa=1,abbabbba=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21209 ab:aaa=1,abbabbba=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21210 solved: rounds:4,rules:2,peak:10,longest:21,steps:12,word:15,work:10585,nodes:58,pairs:92,completionMax:662us [11m11s] 21210 ab:aaa=1,abbabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21210 ab:aaa=1,abbabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21211 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:102,nodes:32,pairs:5,completionMax:27us [11m11s] 21211 ab:aaa=1,abbbaaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21211 ab:aaa=1,abbbaaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21212 solved: rounds:5,rules:3,peak:24,longest:35,steps:22,word:40,work:83885,nodes:182,pairs:210,completionMax:4368us [11m11s] 21212 ab:aaa=1,abbbaabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21212 ab:aaa=1,abbbaabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21213 solved: rounds:4,rules:5,peak:10,longest:25,steps:43,word:15,work:23175,nodes:128,pairs:64,completionMax:550us [11m11s] 21213 ab:aaa=1,abbbabab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,baa=ababbbbb,baba=aabbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21213 ab:aaa=1,abbbabab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb to: 21194 ab:aaa=1,abababbb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21214 solved: rounds:4,rules:5,peak:7,longest:9,steps:4,word:0,work:1201,nodes:50,pairs:21,completionMax:104us [11m11s] 21214 ab:aaa=1,abbbabbb=1 infinite;group:a-aa,b-abbbabb ab - - ab:aaa=1,babbba=abbbab,bbbabaa=aababbb,bbbabbb=aa,bbbabbaa=aabbabbb [11m11s] # 21215 solved: rounds:8,rules:3,peak:21,longest:73,steps:134,word:170,work:249224,nodes:290,pairs:164,completionMax:15144us [11m11s] 21215 ab:aaa=1,abbbbaab=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21215 ab:aaa=1,abbbbaab=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21199 ab:aaa=1,ababbbba=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21216 solved: rounds:2,rules:2,peak:4,longest:18,steps:11,word:10,work:761,nodes:42,pairs:13,completionMax:67us [11m11s] 21216 ab:aaa=1,abbbbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21216 ab:aaa=1,abbbbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21217 solved: rounds:5,rules:6,peak:19,longest:72,steps:53,word:123,work:371330,nodes:212,pairs:172,completionMax:10713us [11m11s] 21217 ab:aaa=1,abbbbbab=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] from: 21217 ab:aaa=1,abbbbbab=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21200 ab:aaa=1,ababbbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21218 solved: rounds:2,rules:2,peak:4,longest:18,steps:2,word:5,work:330,nodes:38,pairs:11,completionMax:55us [11m11s] 21218 ab:aaa=1,abbbbbba=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21218 ab:aaa=1,abbbbbba=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21219 solved: rounds:2,rules:2,peak:4,longest:21,steps:2,word:13,work:158,nodes:56,pairs:5,completionMax:46us [11m11s] 21219 ab:aaa=1,abbbbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [11m11s] from: 21219 ab:aaa=1,abbbbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbb,b=b [11m11s] # 21220 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:3us [11m11s] 21220 ab:aaa=1,baaaaaab=1 infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 21220 ab:aaa=1,baaaaaab=1 infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 21221 solved: rounds:4,rules:2,peak:7,longest:10,steps:5,word:4,work:873,nodes:38,pairs:25,completionMax:82us [11m11s] 21221 ab:aaa=1,baaaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21221 ab:aaa=1,baaaaabb=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21222 solved: rounds:2,rules:2,peak:4,longest:9,steps:6,word:4,work:201,nodes:22,pairs:5,completionMax:28us [11m11s] 21222 ab:aaa=1,baaaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21222 ab:aaa=1,baaaabab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21223 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:485,nodes:24,pairs:10,completionMax:56us [11m11s] 21223 ab:aaa=1,baaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21223 ab:aaa=1,baaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21224 solved: rounds:4,rules:2,peak:10,longest:11,steps:3,word:4,work:1512,nodes:42,pairs:38,completionMax:170us [11m11s] 21224 ab:aaa=1,baaabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 21224 ab:aaa=1,baaabaab=1 finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 21225 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:501,nodes:24,pairs:17,completionMax:72us [11m11s] 21225 ab:aaa=1,baaababb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21225 ab:aaa=1,baaababb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21226 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:7,work:513,nodes:24,pairs:17,completionMax:69us [11m11s] 21226 ab:aaa=1,baaabbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21226 ab:aaa=1,baaabbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21227 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:14,pairs:0,completionMax:5us [11m11s] 21227 ab:aaa=1,baaabbbb=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [11m11s] from: 21227 ab:aaa=1,baaabbbb=1 infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [11m11s] # 21228 solved: rounds:4,rules:4,peak:23,longest:18,steps:20,word:16,work:45986,nodes:126,pairs:366,completionMax:2787us [11m11s] 21228 ab:aaa=1,baabaabb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbbbbbb,aba=bbbbb [11m11s] from: 21228 ab:aaa=1,baabaabb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb to: 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21229 solved: rounds:5,rules:7,peak:32,longest:17,steps:19,word:19,work:143316,nodes:190,pairs:929,completionMax:12570us [11m11s] 21229 ab:aaa=1,baababab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,aba=bbabbbbbbb,baa=abbabbbbbbbbbbb,bbabba=aabbbb,aaa=1,aabba=babbbbb [11m11s] from: 21229 ab:aaa=1,baababab=1 finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21230 solved: rounds:10,rules:3,peak:36,longest:71,steps:135,word:170,work:509389,nodes:414,pairs:640,completionMax:27396us [11m11s] 21230 ab:aaa=1,baababbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21230 ab:aaa=1,baababbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21199 ab:aaa=1,ababbbba=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21231 solved: rounds:3,rules:5,peak:6,longest:8,steps:3,word:1,work:461,nodes:45,pairs:13,completionMax:66us [11m11s] 21231 ab:aaa=1,baabbaab=1 infinite;group:a-c,b-bcbbc,c-cc bc/a aa=c frequency:2/0 abc:ccc=1,bbcbb=cc,cbbcb=bcbbc,ccbcbb=bbcbcc,a=cc [11m11s] from: 21231 ab:aaa=1,baabbaab=1 infinite;group:a-c,b-bcbbc,c-cc to: 7546 ab:aaa=1,bbaabb=a infinite;group:a-c,b-bcbbc,c-cc a=cc,b=b,c=c [11m11s] # 21232 solved: rounds:6,rules:3,peak:34,longest:35,steps:30,word:30,work:188707,nodes:258,pairs:698,completionMax:8559us [11m11s] 21232 ab:aaa=1,baabbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21232 ab:aaa=1,baabbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21233 solved: rounds:5,rules:3,peak:28,longest:37,steps:45,word:45,work:242066,nodes:392,pairs:403,completionMax:8209us [11m11s] 21233 ab:aaa=1,baabbbab=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aaa=1 [11m11s] from: 21233 ab:aaa=1,baabbbab=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21173 ab:aaa=1,aabbbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21234 solved: rounds:4,rules:2,peak:6,longest:18,steps:7,word:10,work:2200,nodes:60,pairs:26,completionMax:133us [11m11s] 21234 ab:aaa=1,baabbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21234 ab:aaa=1,baabbbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21235 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:487,nodes:24,pairs:10,completionMax:49us [11m11s] 21235 ab:aaa=1,babaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21235 ab:aaa=1,babaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21236 solved: rounds:2,rules:4,peak:8,longest:8,steps:3,word:2,work:637,nodes:45,pairs:24,completionMax:88us [11m11s] 21236 ab:aaa=1,babaabab=1 infinite;group:a-aa,b-cacc,c-ccc ac/b ab=c frequency:2/0 abc:aaa=1,cca=acc,cccc=1,b=aac [11m11s] from: 21236 ab:aaa=1,babaabab=1 infinite;group:a-aa,b-cacc,c-ccc to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=aab,c=b [11m11s] # 21237 solved: rounds:8,rules:3,peak:39,longest:66,steps:80,word:60,work:345602,nodes:262,pairs:1117,completionMax:15642us [11m11s] 21237 ab:aaa=1,babaabbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21237 ab:aaa=1,babaabbb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 21238 solved: rounds:5,rules:5,peak:13,longest:21,steps:44,word:15,work:50749,nodes:86,pairs:114,completionMax:1153us [11m11s] 21238 ab:aaa=1,babababb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbb=1,bba=abb,baa=ababbbbb,baba=aabbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21238 ab:aaa=1,babababb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb to: 21194 ab:aaa=1,abababbb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21239 solved: rounds:3,rules:3,peak:9,longest:9,steps:13,word:0,work:5848,nodes:60,pairs:52,completionMax:246us [11m11s] 21239 ab:aaa=1,bababbab=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb ab - - ab:ba=ab,aaa=1,bbbbb=1 [11m11s] from: 21239 ab:aaa=1,bababbab=1 finite:15;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb,abbbb,aabbbb;commutative:ab:a3=1,b5=1;saturation:ab:b3=1,a5=1;cancellative;smith:15;group:a-aa,b-bbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=aaaaaa [11m11s] # 21240 solved: rounds:8,rules:6,peak:29,longest:74,steps:52,word:123,work:785440,nodes:406,pairs:458,completionMax:34546us [11m11s] 21240 ab:aaa=1,bababbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] from: 21240 ab:aaa=1,bababbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21200 ab:aaa=1,ababbbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21241 solved: rounds:5,rules:3,peak:24,longest:36,steps:101,word:75,work:437294,nodes:258,pairs:592,completionMax:15887us [11m11s] 21241 ab:aaa=1,babbaabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aaa=1 [11m11s] from: 21241 ab:aaa=1,babbaabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21173 ab:aaa=1,aabbbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21242 solved: rounds:4,rules:2,peak:14,longest:26,steps:30,word:20,work:32163,nodes:118,pairs:83,completionMax:1574us [11m11s] 21242 ab:aaa=1,babbabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21242 ab:aaa=1,babbabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21243 solved: rounds:4,rules:5,peak:6,longest:13,steps:5,word:0,work:1690,nodes:42,pairs:16,completionMax:80us [11m11s] 21243 ab:aaa=1,babbbabb=1 infinite;group:a-aa,b-abbbabb ab - - ab:aaa=1,babbba=abbbab,bbbabaa=aababbb,bbbabbb=aa,bbbabbaa=aabbabbb [11m11s] from: 21243 ab:aaa=1,babbbabb=1 infinite;group:a-aa,b-abbbabb to: 21214 ab:aaa=1,abbbabbb=1 infinite;group:a-aa,b-abbbabb a=a,b=b [11m11s] # 21244 solved: rounds:3,rules:2,peak:10,longest:21,steps:17,word:15,work:10142,nodes:68,pairs:85,completionMax:555us [11m11s] 21244 ab:aaa=1,babbbbab=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21244 ab:aaa=1,babbbbab=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21245 solved: rounds:5,rules:2,peak:5,longest:21,steps:10,word:13,work:1656,nodes:42,pairs:13,completionMax:94us [11m11s] 21245 ab:aaa=1,babbbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [11m11s] from: 21245 ab:aaa=1,babbbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbb,b=b [11m11s] # 21246 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:502,nodes:24,pairs:17,completionMax:65us [11m11s] 21246 ab:aaa=1,bbaaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 21246 ab:aaa=1,bbaaaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 21247 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:14,pairs:0,completionMax:3us [11m11s] 21247 ab:aaa=1,bbaaabbb=1 infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [11m11s] from: 21247 ab:aaa=1,bbaaabbb=1 infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [11m11s] # 21248 solved: rounds:8,rules:3,peak:26,longest:176,steps:213,word:180,work:1041174,nodes:682,pairs:510,completionMax:115181us [11m11s] 21248 ab:aaa=1,bbaababb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 21248 ab:aaa=1,bbaababb=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21199 ab:aaa=1,ababbbba=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21249 solved: rounds:4,rules:2,peak:8,longest:20,steps:6,word:10,work:5363,nodes:88,pairs:64,completionMax:479us [11m11s] 21249 ab:aaa=1,bbaabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21249 ab:aaa=1,bbaabbbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21250 solved: rounds:7,rules:6,peak:33,longest:131,steps:52,word:123,work:1142153,nodes:542,pairs:767,completionMax:45346us [11m11s] 21250 ab:aaa=1,bbababbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbbba=abbbb,aa=babbbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] from: 21250 ab:aaa=1,bbababbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21200 ab:aaa=1,ababbbbb=1 finite:432;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21251 solved: rounds:2,rules:2,peak:5,longest:18,steps:14,word:15,work:1692,nodes:50,pairs:13,completionMax:108us [11m11s] 21251 ab:aaa=1,bbabbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21251 ab:aaa=1,bbabbabb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21252 solved: rounds:4,rules:2,peak:9,longest:35,steps:27,word:26,work:13672,nodes:102,pairs:48,completionMax:685us [11m11s] 21252 ab:aaa=1,bbabbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [11m11s] from: 21252 ab:aaa=1,bbabbbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbb,b=b [11m11s] # 21253 solved: rounds:4,rules:2,peak:7,longest:18,steps:11,word:10,work:2859,nodes:48,pairs:27,completionMax:159us [11m11s] 21253 ab:aaa=1,bbbaabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbb [11m11s] from: 21253 ab:aaa=1,bbbaabbb=1 finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b6;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaa,b=a [11m11s] # 21254 solved: rounds:5,rules:2,peak:8,longest:21,steps:8,word:13,work:2935,nodes:44,pairs:26,completionMax:164us [11m11s] 21254 ab:aaa=1,bbbabbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbbbb [11m11s] from: 21254 ab:aaa=1,bbbabbbb=1 finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b14;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbb,b-bbbbbbbbbbbbbbbbbbbb to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbbbbbbbbb,b=b [11m11s] # 21255 solved: rounds:0,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:20,pairs:0,completionMax:7us [11m11s] 21255 ab:aaa=1,bbbbbbbb=1 infinite;group:a-aa,b-bbbbbbb ab - - ab:aaa=1,bbbbbbbb=1 [11m11s] # 21256 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:5,work:10,nodes:16,pairs:2,completionMax:12us [11m11s] 21256 ab:aab=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 21256 ab:aab=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 21257 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:15,nodes:10,pairs:2,completionMax:8us [11m11s] 21257 ab:aab=1,aaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21257 ab:aab=1,aaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21258 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:14,nodes:10,pairs:2,completionMax:7us [11m11s] 21258 ab:aab=1,aaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21258 ab:aab=1,aaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21259 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:6,pairs:2,completionMax:8us [11m11s] 21259 ab:aab=1,aaaaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21259 ab:aab=1,aaaaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21260 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:13,nodes:10,pairs:2,completionMax:6us [11m11s] 21260 ab:aab=1,aaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21260 ab:aab=1,aaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21261 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:2,completionMax:4us [11m11s] 21261 ab:aab=1,aaaaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21261 ab:aab=1,aaaaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21262 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:3us [11m11s] 21262 ab:aab=1,aaaaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21262 ab:aab=1,aaaaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21263 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:3us [11m11s] 21263 ab:aab=1,aaaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21263 ab:aab=1,aaaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21264 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:12,nodes:10,pairs:2,completionMax:7us [11m11s] 21264 ab:aab=1,aaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21264 ab:aab=1,aaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21265 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:4us [11m11s] 21265 ab:aab=1,aaaabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21265 ab:aab=1,aaaabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21266 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:3us [11m11s] 21266 ab:aab=1,aaaababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21266 ab:aab=1,aaaababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21267 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:3us [11m11s] 21267 ab:aab=1,aaaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21267 ab:aab=1,aaaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21268 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:2us [11m11s] 21268 ab:aab=1,aaaabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21268 ab:aab=1,aaaabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21269 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:5us [11m11s] 21269 ab:aab=1,aaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21269 ab:aab=1,aaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21270 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:16us [11m11s] 21270 ab:aab=1,aaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21270 ab:aab=1,aaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21271 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:3,completionMax:8us [11m11s] 21271 ab:aab=1,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21271 ab:aab=1,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21272 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:11,nodes:10,pairs:2,completionMax:7us [11m11s] 21272 ab:aab=1,aaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21272 ab:aab=1,aaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21273 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:3us [11m11s] 21273 ab:aab=1,aaabaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21273 ab:aab=1,aaabaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21274 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:7us [11m11s] 21274 ab:aab=1,aaabaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21274 ab:aab=1,aaabaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21275 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:4us [11m11s] 21275 ab:aab=1,aaabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21275 ab:aab=1,aaabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21276 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:3us [11m11s] 21276 ab:aab=1,aaababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21276 ab:aab=1,aaababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21277 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:2,completionMax:3us [11m11s] 21277 ab:aab=1,aaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21277 ab:aab=1,aaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21278 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:18us [11m11s] 21278 ab:aab=1,aaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21278 ab:aab=1,aaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21279 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:15,nodes:8,pairs:3,completionMax:11us [11m11s] 21279 ab:aab=1,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21279 ab:aab=1,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21280 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:202,nodes:14,pairs:21,completionMax:49us [11m11s] 21280 ab:aab=1,aaabbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21280 ab:aab=1,aaabbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21281 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:4us [11m11s] 21281 ab:aab=1,aaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21281 ab:aab=1,aaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21282 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:89,nodes:14,pairs:12,completionMax:25us [11m11s] 21282 ab:aab=1,aaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21282 ab:aab=1,aaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21283 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:31,nodes:12,pairs:3,completionMax:12us [11m11s] 21283 ab:aab=1,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21283 ab:aab=1,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21284 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:187,nodes:16,pairs:14,completionMax:30us [11m11s] 21284 ab:aab=1,aaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21284 ab:aab=1,aaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21285 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:82,nodes:16,pairs:11,completionMax:22us [11m11s] 21285 ab:aab=1,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21285 ab:aab=1,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21286 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:237,nodes:16,pairs:13,completionMax:38us [11m11s] 21286 ab:aab=1,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21286 ab:aab=1,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21287 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:127,nodes:16,pairs:12,completionMax:41us [11m11s] 21287 ab:aab=1,aaabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21287 ab:aab=1,aaabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21288 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:10,nodes:10,pairs:2,completionMax:7us [11m11s] 21288 ab:aab=1,aabaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21288 ab:aab=1,aabaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21289 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:6us [11m11s] 21289 ab:aab=1,aabaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21289 ab:aab=1,aabaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21290 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:4us [11m11s] 21290 ab:aab=1,aabaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21290 ab:aab=1,aabaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21291 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:2,completionMax:5us [11m11s] 21291 ab:aab=1,aabaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21291 ab:aab=1,aabaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21292 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:3us [11m11s] 21292 ab:aab=1,aabaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21292 ab:aab=1,aabaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21293 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:2,completionMax:4us [11m11s] 21293 ab:aab=1,aabaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21293 ab:aab=1,aabaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21294 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:20us [11m11s] 21294 ab:aab=1,aabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21294 ab:aab=1,aabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21295 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:14,nodes:8,pairs:3,completionMax:8us [11m11s] 21295 ab:aab=1,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21295 ab:aab=1,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21296 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:201,nodes:14,pairs:21,completionMax:56us [11m11s] 21296 ab:aab=1,aababaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21296 ab:aab=1,aababaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21297 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:8us [11m11s] 21297 ab:aab=1,aababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21297 ab:aab=1,aababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21298 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:88,nodes:14,pairs:12,completionMax:28us [11m11s] 21298 ab:aab=1,aabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21298 ab:aab=1,aabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21299 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:30,nodes:12,pairs:3,completionMax:14us [11m11s] 21299 ab:aab=1,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21299 ab:aab=1,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21300 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:186,nodes:16,pairs:14,completionMax:39us [11m11s] 21300 ab:aab=1,aababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21300 ab:aab=1,aababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21301 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:81,nodes:16,pairs:11,completionMax:22us [11m11s] 21301 ab:aab=1,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21301 ab:aab=1,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21302 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:236,nodes:16,pairs:13,completionMax:36us [11m11s] 21302 ab:aab=1,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21302 ab:aab=1,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21303 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:126,nodes:16,pairs:12,completionMax:39us [11m11s] 21303 ab:aab=1,aababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21303 ab:aab=1,aababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21304 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:221,nodes:16,pairs:13,completionMax:36us [11m11s] 21304 ab:aab=1,aabbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21304 ab:aab=1,aabbaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21305 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:20us [11m11s] 21305 ab:aab=1,aabbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21305 ab:aab=1,aabbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21306 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:18us [11m11s] 21306 ab:aab=1,aabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21306 ab:aab=1,aabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21307 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:15,nodes:8,pairs:3,completionMax:10us [11m11s] 21307 ab:aab=1,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21307 ab:aab=1,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21308 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:217,nodes:18,pairs:16,completionMax:43us [11m11s] 21308 ab:aab=1,aabbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21308 ab:aab=1,aabbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21309 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:89,nodes:14,pairs:9,completionMax:22us [11m11s] 21309 ab:aab=1,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21309 ab:aab=1,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21310 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:459,nodes:22,pairs:20,completionMax:74us [11m11s] 21310 ab:aab=1,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21310 ab:aab=1,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21311 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:222,nodes:18,pairs:15,completionMax:47us [11m11s] 21311 ab:aab=1,aabbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21311 ab:aab=1,aabbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21312 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:136,nodes:18,pairs:10,completionMax:21us [11m11s] 21312 ab:aab=1,aabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21312 ab:aab=1,aabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21313 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:3,completionMax:7us [11m11s] 21313 ab:aab=1,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21313 ab:aab=1,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21314 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:233,nodes:20,pairs:26,completionMax:52us [11m11s] 21314 ab:aab=1,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21314 ab:aab=1,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21315 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:353,nodes:18,pairs:27,completionMax:62us [11m11s] 21315 ab:aab=1,aabbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21315 ab:aab=1,aabbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21316 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:242,nodes:16,pairs:15,completionMax:39us [11m11s] 21316 ab:aab=1,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21316 ab:aab=1,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21317 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:748,nodes:26,pairs:24,completionMax:92us [11m11s] 21317 ab:aab=1,aabbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21317 ab:aab=1,aabbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21318 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:538,nodes:16,pairs:32,completionMax:84us [11m11s] 21318 ab:aab=1,aabbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21318 ab:aab=1,aabbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21319 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:251,nodes:20,pairs:17,completionMax:61us [11m11s] 21319 ab:aab=1,aabbbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21319 ab:aab=1,aabbbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21320 solved: rounds:2,rules:2,peak:5,longest:8,steps:7,word:4,work:518,nodes:24,pairs:26,completionMax:50us [11m11s] 21320 ab:aab=1,abaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21320 ab:aab=1,abaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21321 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:206,nodes:14,pairs:21,completionMax:36us [11m11s] 21321 ab:aab=1,abaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21321 ab:aab=1,abaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21322 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:205,nodes:14,pairs:21,completionMax:30us [11m11s] 21322 ab:aab=1,abaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21322 ab:aab=1,abaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21323 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:2,completionMax:4us [11m11s] 21323 ab:aab=1,abaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21323 ab:aab=1,abaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21324 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:204,nodes:14,pairs:21,completionMax:29us [11m11s] 21324 ab:aab=1,abaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21324 ab:aab=1,abaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21325 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:2,completionMax:3us [11m11s] 21325 ab:aab=1,abaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21325 ab:aab=1,abaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21326 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:91,nodes:14,pairs:12,completionMax:23us [11m11s] 21326 ab:aab=1,abaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21326 ab:aab=1,abaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21327 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:33,nodes:12,pairs:3,completionMax:17us [11m11s] 21327 ab:aab=1,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21327 ab:aab=1,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21328 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:203,nodes:14,pairs:21,completionMax:49us [11m11s] 21328 ab:aab=1,abaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21328 ab:aab=1,abaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21329 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:4us [11m11s] 21329 ab:aab=1,abaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21329 ab:aab=1,abaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21330 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:90,nodes:14,pairs:12,completionMax:21us [11m11s] 21330 ab:aab=1,abaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21330 ab:aab=1,abaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21331 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:32,nodes:12,pairs:3,completionMax:11us [11m11s] 21331 ab:aab=1,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21331 ab:aab=1,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21332 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:188,nodes:16,pairs:14,completionMax:38us [11m11s] 21332 ab:aab=1,abaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21332 ab:aab=1,abaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21333 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:83,nodes:16,pairs:11,completionMax:32us [11m11s] 21333 ab:aab=1,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21333 ab:aab=1,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21334 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:238,nodes:16,pairs:13,completionMax:36us [11m11s] 21334 ab:aab=1,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21334 ab:aab=1,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21335 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:128,nodes:16,pairs:12,completionMax:30us [11m11s] 21335 ab:aab=1,abaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21335 ab:aab=1,abaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21336 solved: rounds:2,rules:2,peak:5,longest:8,steps:8,word:0,work:508,nodes:24,pairs:21,completionMax:52us [11m11s] 21336 ab:aab=1,ababaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21336 ab:aab=1,ababaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21337 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:93,nodes:14,pairs:12,completionMax:22us [11m11s] 21337 ab:aab=1,ababaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21337 ab:aab=1,ababaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21338 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:92,nodes:14,pairs:12,completionMax:23us [11m11s] 21338 ab:aab=1,ababaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21338 ab:aab=1,ababaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21339 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:34,nodes:12,pairs:3,completionMax:15us [11m11s] 21339 ab:aab=1,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21339 ab:aab=1,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21340 solved: rounds:2,rules:2,peak:5,longest:8,steps:8,word:0,work:536,nodes:20,pairs:20,completionMax:54us [11m11s] 21340 ab:aab=1,abababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21340 ab:aab=1,abababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21341 solved: rounds:3,rules:2,peak:4,longest:8,steps:3,word:1,work:104,nodes:18,pairs:10,completionMax:29us [11m11s] 21341 ab:aab=1,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21341 ab:aab=1,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21342 solved: rounds:3,rules:2,peak:5,longest:10,steps:16,word:4,work:849,nodes:24,pairs:27,completionMax:87us [11m11s] 21342 ab:aab=1,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21342 ab:aab=1,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21343 solved: rounds:5,rules:2,peak:6,longest:8,steps:4,word:4,work:149,nodes:20,pairs:13,completionMax:46us [11m11s] 21343 ab:aab=1,abababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21343 ab:aab=1,abababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21344 solved: rounds:2,rules:2,peak:5,longest:8,steps:7,word:0,work:594,nodes:26,pairs:20,completionMax:51us [11m11s] 21344 ab:aab=1,ababbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21344 ab:aab=1,ababbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21345 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:35,nodes:12,pairs:3,completionMax:14us [11m11s] 21345 ab:aab=1,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21345 ab:aab=1,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21346 solved: rounds:2,rules:2,peak:10,longest:8,steps:7,word:1,work:1002,nodes:30,pairs:34,completionMax:144us [11m11s] 21346 ab:aab=1,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21346 ab:aab=1,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21347 solved: rounds:5,rules:2,peak:6,longest:8,steps:3,word:4,work:314,nodes:24,pairs:32,completionMax:84us [11m11s] 21347 ab:aab=1,ababbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21347 ab:aab=1,ababbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21348 solved: rounds:2,rules:2,peak:5,longest:8,steps:18,word:3,work:908,nodes:24,pairs:18,completionMax:73us [11m11s] 21348 ab:aab=1,ababbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21348 ab:aab=1,ababbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21349 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:4,work:365,nodes:26,pairs:29,completionMax:64us [11m11s] 21349 ab:aab=1,ababbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21349 ab:aab=1,ababbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21350 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:4,work:757,nodes:24,pairs:23,completionMax:61us [11m11s] 21350 ab:aab=1,ababbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21350 ab:aab=1,ababbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21351 solved: rounds:6,rules:2,peak:6,longest:10,steps:6,word:7,work:378,nodes:24,pairs:17,completionMax:58us [11m11s] 21351 ab:aab=1,ababbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21351 ab:aab=1,ababbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21352 solved: rounds:2,rules:2,peak:5,longest:8,steps:9,word:0,work:504,nodes:28,pairs:18,completionMax:59us [11m11s] 21352 ab:aab=1,abbaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21352 ab:aab=1,abbaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21353 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:191,nodes:16,pairs:14,completionMax:30us [11m11s] 21353 ab:aab=1,abbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21353 ab:aab=1,abbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21354 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:190,nodes:16,pairs:14,completionMax:38us [11m11s] 21354 ab:aab=1,abbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21354 ab:aab=1,abbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21355 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:85,nodes:16,pairs:11,completionMax:29us [11m11s] 21355 ab:aab=1,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21355 ab:aab=1,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21356 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:189,nodes:16,pairs:14,completionMax:38us [11m11s] 21356 ab:aab=1,abbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21356 ab:aab=1,abbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21357 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:84,nodes:16,pairs:11,completionMax:27us [11m11s] 21357 ab:aab=1,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21357 ab:aab=1,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21358 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:239,nodes:16,pairs:13,completionMax:34us [11m11s] 21358 ab:aab=1,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21358 ab:aab=1,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21359 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:129,nodes:16,pairs:12,completionMax:43us [11m11s] 21359 ab:aab=1,abbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21359 ab:aab=1,abbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21360 solved: rounds:2,rules:2,peak:5,longest:8,steps:15,word:0,work:719,nodes:28,pairs:19,completionMax:57us [11m11s] 21360 ab:aab=1,abbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21360 ab:aab=1,abbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21361 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:86,nodes:16,pairs:11,completionMax:28us [11m11s] 21361 ab:aab=1,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21361 ab:aab=1,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21362 solved: rounds:2,rules:2,peak:5,longest:8,steps:11,word:2,work:998,nodes:28,pairs:29,completionMax:88us [11m11s] 21362 ab:aab=1,abbababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21362 ab:aab=1,abbababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21363 solved: rounds:3,rules:2,peak:9,longest:8,steps:6,word:4,work:1098,nodes:32,pairs:44,completionMax:168us [11m11s] 21363 ab:aab=1,abbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21363 ab:aab=1,abbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21364 solved: rounds:3,rules:2,peak:5,longest:8,steps:4,word:2,work:530,nodes:28,pairs:33,completionMax:77us [11m11s] 21364 ab:aab=1,abbabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21364 ab:aab=1,abbabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21365 solved: rounds:4,rules:2,peak:7,longest:8,steps:5,word:4,work:574,nodes:28,pairs:21,completionMax:79us [11m11s] 21365 ab:aab=1,abbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21365 ab:aab=1,abbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21366 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:4,work:762,nodes:28,pairs:24,completionMax:85us [11m11s] 21366 ab:aab=1,abbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21366 ab:aab=1,abbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21367 solved: rounds:4,rules:2,peak:8,longest:10,steps:7,word:7,work:952,nodes:28,pairs:27,completionMax:112us [11m11s] 21367 ab:aab=1,abbabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21367 ab:aab=1,abbabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21368 solved: rounds:2,rules:2,peak:5,longest:8,steps:9,word:0,work:585,nodes:28,pairs:18,completionMax:56us [11m11s] 21368 ab:aab=1,abbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21368 ab:aab=1,abbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21369 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:241,nodes:16,pairs:13,completionMax:39us [11m11s] 21369 ab:aab=1,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21369 ab:aab=1,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21370 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:240,nodes:16,pairs:13,completionMax:33us [11m11s] 21370 ab:aab=1,abbbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21370 ab:aab=1,abbbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21371 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:130,nodes:16,pairs:12,completionMax:37us [11m11s] 21371 ab:aab=1,abbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21371 ab:aab=1,abbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21372 solved: rounds:2,rules:2,peak:6,longest:8,steps:18,word:3,work:1264,nodes:28,pairs:21,completionMax:87us [11m11s] 21372 ab:aab=1,abbbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21372 ab:aab=1,abbbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21373 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:4,work:541,nodes:28,pairs:42,completionMax:110us [11m11s] 21373 ab:aab=1,abbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21373 ab:aab=1,abbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21374 solved: rounds:4,rules:2,peak:6,longest:10,steps:7,word:8,work:939,nodes:28,pairs:27,completionMax:83us [11m11s] 21374 ab:aab=1,abbbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21374 ab:aab=1,abbbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21375 solved: rounds:6,rules:2,peak:9,longest:10,steps:6,word:7,work:1099,nodes:30,pairs:50,completionMax:152us [11m11s] 21375 ab:aab=1,abbbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21375 ab:aab=1,abbbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21376 solved: rounds:2,rules:2,peak:7,longest:8,steps:28,word:3,work:1176,nodes:28,pairs:20,completionMax:102us [11m11s] 21376 ab:aab=1,abbbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21376 ab:aab=1,abbbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21377 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:131,nodes:16,pairs:12,completionMax:45us [11m11s] 21377 ab:aab=1,abbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21377 ab:aab=1,abbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21378 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:4,work:672,nodes:28,pairs:23,completionMax:68us [11m11s] 21378 ab:aab=1,abbbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21378 ab:aab=1,abbbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21379 solved: rounds:3,rules:2,peak:9,longest:10,steps:6,word:7,work:1657,nodes:32,pairs:50,completionMax:143us [11m11s] 21379 ab:aab=1,abbbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21379 ab:aab=1,abbbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21380 solved: rounds:4,rules:2,peak:5,longest:8,steps:7,word:4,work:611,nodes:28,pairs:20,completionMax:62us [11m11s] 21380 ab:aab=1,abbbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21380 ab:aab=1,abbbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21381 solved: rounds:3,rules:2,peak:9,longest:10,steps:3,word:7,work:1281,nodes:28,pairs:60,completionMax:213us [11m11s] 21381 ab:aab=1,abbbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21381 ab:aab=1,abbbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21382 solved: rounds:6,rules:2,peak:5,longest:10,steps:7,word:7,work:945,nodes:28,pairs:22,completionMax:94us [11m11s] 21382 ab:aab=1,abbbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21382 ab:aab=1,abbbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21383 solved: rounds:6,rules:2,peak:6,longest:13,steps:9,word:10,work:1252,nodes:28,pairs:20,completionMax:83us [11m11s] 21383 ab:aab=1,abbbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21383 ab:aab=1,abbbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21384 solved: rounds:2,rules:2,peak:5,longest:8,steps:6,word:4,work:405,nodes:28,pairs:21,completionMax:64us [11m11s] 21384 ab:aab=1,baaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21384 ab:aab=1,baaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21385 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:226,nodes:16,pairs:13,completionMax:36us [11m11s] 21385 ab:aab=1,baaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21385 ab:aab=1,baaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21386 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:225,nodes:16,pairs:13,completionMax:31us [11m11s] 21386 ab:aab=1,baaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21386 ab:aab=1,baaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21387 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:47,nodes:8,pairs:8,completionMax:17us [11m11s] 21387 ab:aab=1,baaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21387 ab:aab=1,baaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21388 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:224,nodes:16,pairs:13,completionMax:39us [11m11s] 21388 ab:aab=1,baaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21388 ab:aab=1,baaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21389 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:46,nodes:8,pairs:8,completionMax:16us [11m11s] 21389 ab:aab=1,baaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21389 ab:aab=1,baaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21390 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:8,pairs:8,completionMax:21us [11m11s] 21390 ab:aab=1,baaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21390 ab:aab=1,baaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21391 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:18,nodes:8,pairs:3,completionMax:9us [11m11s] 21391 ab:aab=1,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21391 ab:aab=1,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21392 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:223,nodes:16,pairs:13,completionMax:35us [11m11s] 21392 ab:aab=1,baaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21392 ab:aab=1,baaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21393 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:8,pairs:8,completionMax:13us [11m11s] 21393 ab:aab=1,baaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21393 ab:aab=1,baaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21394 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:13us [11m11s] 21394 ab:aab=1,baaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21394 ab:aab=1,baaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21395 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:17,nodes:8,pairs:3,completionMax:8us [11m11s] 21395 ab:aab=1,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21395 ab:aab=1,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21396 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:219,nodes:18,pairs:16,completionMax:32us [11m11s] 21396 ab:aab=1,baaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21396 ab:aab=1,baaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21397 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:91,nodes:14,pairs:9,completionMax:16us [11m11s] 21397 ab:aab=1,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21397 ab:aab=1,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21398 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:461,nodes:22,pairs:20,completionMax:58us [11m11s] 21398 ab:aab=1,baaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21398 ab:aab=1,baaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21399 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:224,nodes:18,pairs:15,completionMax:40us [11m11s] 21399 ab:aab=1,baaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21399 ab:aab=1,baaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21400 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:222,nodes:16,pairs:13,completionMax:36us [11m11s] 21400 ab:aab=1,baabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21400 ab:aab=1,baabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21401 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:17us [11m11s] 21401 ab:aab=1,baabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21401 ab:aab=1,baabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21402 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:13us [11m11s] 21402 ab:aab=1,baabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21402 ab:aab=1,baabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21403 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:3,completionMax:10us [11m11s] 21403 ab:aab=1,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21403 ab:aab=1,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21404 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:218,nodes:18,pairs:16,completionMax:35us [11m11s] 21404 ab:aab=1,baababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21404 ab:aab=1,baababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21405 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:90,nodes:14,pairs:9,completionMax:18us [11m11s] 21405 ab:aab=1,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21405 ab:aab=1,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21406 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:460,nodes:22,pairs:20,completionMax:74us [11m11s] 21406 ab:aab=1,baababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21406 ab:aab=1,baababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21407 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:223,nodes:18,pairs:15,completionMax:48us [11m11s] 21407 ab:aab=1,baababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21407 ab:aab=1,baababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21408 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:137,nodes:18,pairs:10,completionMax:27us [11m11s] 21408 ab:aab=1,baabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21408 ab:aab=1,baabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21409 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:17,nodes:8,pairs:3,completionMax:11us [11m11s] 21409 ab:aab=1,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21409 ab:aab=1,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21410 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:234,nodes:20,pairs:26,completionMax:69us [11m11s] 21410 ab:aab=1,baabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21410 ab:aab=1,baabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21411 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:354,nodes:18,pairs:27,completionMax:81us [11m11s] 21411 ab:aab=1,baabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21411 ab:aab=1,baabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21412 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:243,nodes:16,pairs:15,completionMax:42us [11m11s] 21412 ab:aab=1,baabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21412 ab:aab=1,baabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21413 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:749,nodes:26,pairs:24,completionMax:76us [11m11s] 21413 ab:aab=1,baabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21413 ab:aab=1,baabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21414 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:539,nodes:16,pairs:32,completionMax:80us [11m11s] 21414 ab:aab=1,baabbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21414 ab:aab=1,baabbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21415 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:252,nodes:20,pairs:17,completionMax:52us [11m11s] 21415 ab:aab=1,baabbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21415 ab:aab=1,baabbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21416 solved: rounds:2,rules:2,peak:5,longest:8,steps:8,word:0,work:427,nodes:30,pairs:17,completionMax:48us [11m11s] 21416 ab:aab=1,babaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21416 ab:aab=1,babaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21417 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:222,nodes:18,pairs:16,completionMax:32us [11m11s] 21417 ab:aab=1,babaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21417 ab:aab=1,babaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21418 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:221,nodes:18,pairs:16,completionMax:37us [11m11s] 21418 ab:aab=1,babaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21418 ab:aab=1,babaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21419 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:93,nodes:14,pairs:9,completionMax:20us [11m11s] 21419 ab:aab=1,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21419 ab:aab=1,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21420 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:220,nodes:18,pairs:16,completionMax:37us [11m11s] 21420 ab:aab=1,babaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21420 ab:aab=1,babaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21421 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:92,nodes:14,pairs:9,completionMax:26us [11m11s] 21421 ab:aab=1,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21421 ab:aab=1,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21422 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:462,nodes:22,pairs:20,completionMax:81us [11m11s] 21422 ab:aab=1,babaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21422 ab:aab=1,babaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21423 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:225,nodes:18,pairs:15,completionMax:41us [11m11s] 21423 ab:aab=1,babaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21423 ab:aab=1,babaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21424 solved: rounds:2,rules:2,peak:5,longest:8,steps:11,word:0,work:769,nodes:30,pairs:19,completionMax:45us [11m11s] 21424 ab:aab=1,bababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21424 ab:aab=1,bababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21425 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:94,nodes:14,pairs:9,completionMax:15us [11m11s] 21425 ab:aab=1,bababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21425 ab:aab=1,bababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21426 solved: rounds:2,rules:2,peak:7,longest:8,steps:4,word:1,work:490,nodes:30,pairs:22,completionMax:61us [11m11s] 21426 ab:aab=1,babababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21426 ab:aab=1,babababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21427 solved: rounds:4,rules:2,peak:6,longest:8,steps:6,word:4,work:521,nodes:30,pairs:22,completionMax:55us [11m11s] 21427 ab:aab=1,babababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21427 ab:aab=1,babababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21428 solved: rounds:2,rules:2,peak:6,longest:8,steps:11,word:3,work:816,nodes:30,pairs:22,completionMax:65us [11m11s] 21428 ab:aab=1,bababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21428 ab:aab=1,bababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21429 solved: rounds:4,rules:2,peak:8,longest:10,steps:8,word:8,work:1627,nodes:28,pairs:46,completionMax:182us [11m11s] 21429 ab:aab=1,bababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21429 ab:aab=1,bababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21430 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:4,work:1124,nodes:36,pairs:42,completionMax:125us [11m11s] 21430 ab:aab=1,bababbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21430 ab:aab=1,bababbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21431 solved: rounds:3,rules:2,peak:9,longest:10,steps:4,word:7,work:1149,nodes:34,pairs:26,completionMax:134us [11m11s] 21431 ab:aab=1,bababbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21431 ab:aab=1,bababbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21432 solved: rounds:2,rules:2,peak:5,longest:8,steps:12,word:0,work:644,nodes:30,pairs:17,completionMax:49us [11m11s] 21432 ab:aab=1,babbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21432 ab:aab=1,babbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21433 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:464,nodes:22,pairs:20,completionMax:73us [11m11s] 21433 ab:aab=1,babbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21433 ab:aab=1,babbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21434 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:463,nodes:22,pairs:20,completionMax:60us [11m11s] 21434 ab:aab=1,babbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21434 ab:aab=1,babbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21435 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:226,nodes:18,pairs:15,completionMax:56us [11m11s] 21435 ab:aab=1,babbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21435 ab:aab=1,babbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21436 solved: rounds:2,rules:2,peak:6,longest:8,steps:19,word:3,work:1108,nodes:30,pairs:23,completionMax:107us [11m11s] 21436 ab:aab=1,babbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21436 ab:aab=1,babbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21437 solved: rounds:4,rules:2,peak:8,longest:10,steps:19,word:8,work:1732,nodes:34,pairs:40,completionMax:191us [11m11s] 21437 ab:aab=1,babbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21437 ab:aab=1,babbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21438 solved: rounds:4,rules:2,peak:7,longest:8,steps:7,word:4,work:823,nodes:32,pairs:37,completionMax:122us [11m11s] 21438 ab:aab=1,babbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21438 ab:aab=1,babbabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21439 solved: rounds:5,rules:2,peak:7,longest:10,steps:6,word:7,work:979,nodes:34,pairs:20,completionMax:101us [11m11s] 21439 ab:aab=1,babbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21439 ab:aab=1,babbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21440 solved: rounds:2,rules:2,peak:7,longest:8,steps:19,word:3,work:1127,nodes:30,pairs:22,completionMax:95us [11m11s] 21440 ab:aab=1,babbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21440 ab:aab=1,babbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21441 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:227,nodes:18,pairs:15,completionMax:58us [11m11s] 21441 ab:aab=1,babbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21441 ab:aab=1,babbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21442 solved: rounds:4,rules:2,peak:8,longest:8,steps:5,word:4,work:815,nodes:40,pairs:33,completionMax:133us [11m11s] 21442 ab:aab=1,babbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21442 ab:aab=1,babbbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21443 solved: rounds:3,rules:2,peak:11,longest:10,steps:5,word:14,work:3108,nodes:46,pairs:49,completionMax:225us [11m11s] 21443 ab:aab=1,babbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21443 ab:aab=1,babbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21444 solved: rounds:4,rules:2,peak:5,longest:8,steps:7,word:4,work:631,nodes:30,pairs:24,completionMax:65us [11m11s] 21444 ab:aab=1,babbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21444 ab:aab=1,babbbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21445 solved: rounds:3,rules:2,peak:10,longest:10,steps:11,word:7,work:2019,nodes:40,pairs:43,completionMax:197us [11m11s] 21445 ab:aab=1,babbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21445 ab:aab=1,babbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21446 solved: rounds:5,rules:2,peak:10,longest:10,steps:5,word:7,work:1701,nodes:40,pairs:56,completionMax:177us [11m11s] 21446 ab:aab=1,babbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21446 ab:aab=1,babbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21447 solved: rounds:5,rules:2,peak:8,longest:22,steps:14,word:20,work:3581,nodes:50,pairs:54,completionMax:249us [11m11s] 21447 ab:aab=1,babbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21447 ab:aab=1,babbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21448 solved: rounds:2,rules:2,peak:5,longest:8,steps:7,word:0,work:251,nodes:30,pairs:11,completionMax:27us [11m11s] 21448 ab:aab=1,bbaaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21448 ab:aab=1,bbaaaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21449 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:141,nodes:18,pairs:10,completionMax:29us [11m11s] 21449 ab:aab=1,bbaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21449 ab:aab=1,bbaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21450 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:140,nodes:18,pairs:10,completionMax:35us [11m11s] 21450 ab:aab=1,bbaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21450 ab:aab=1,bbaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21451 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:20,nodes:8,pairs:3,completionMax:11us [11m11s] 21451 ab:aab=1,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21451 ab:aab=1,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21452 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:139,nodes:18,pairs:10,completionMax:27us [11m11s] 21452 ab:aab=1,bbaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21452 ab:aab=1,bbaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21453 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:19,nodes:8,pairs:3,completionMax:10us [11m11s] 21453 ab:aab=1,bbaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21453 ab:aab=1,bbaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21454 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:236,nodes:20,pairs:26,completionMax:65us [11m11s] 21454 ab:aab=1,bbaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21454 ab:aab=1,bbaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21455 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:356,nodes:18,pairs:27,completionMax:74us [11m11s] 21455 ab:aab=1,bbaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21455 ab:aab=1,bbaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21456 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:138,nodes:18,pairs:10,completionMax:26us [11m11s] 21456 ab:aab=1,bbaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21456 ab:aab=1,bbaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21457 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:18,nodes:8,pairs:3,completionMax:11us [11m11s] 21457 ab:aab=1,bbaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21457 ab:aab=1,bbaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21458 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:235,nodes:20,pairs:26,completionMax:70us [11m11s] 21458 ab:aab=1,bbaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21458 ab:aab=1,bbaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21459 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:355,nodes:18,pairs:27,completionMax:96us [11m11s] 21459 ab:aab=1,bbaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21459 ab:aab=1,bbaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21460 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:244,nodes:16,pairs:15,completionMax:37us [11m11s] 21460 ab:aab=1,bbaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21460 ab:aab=1,bbaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21461 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:750,nodes:26,pairs:24,completionMax:77us [11m11s] 21461 ab:aab=1,bbaabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21461 ab:aab=1,bbaabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21462 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:540,nodes:16,pairs:32,completionMax:65us [11m11s] 21462 ab:aab=1,bbaabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21462 ab:aab=1,bbaabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21463 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:253,nodes:20,pairs:17,completionMax:48us [11m11s] 21463 ab:aab=1,bbaabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21463 ab:aab=1,bbaabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21464 solved: rounds:2,rules:2,peak:5,longest:8,steps:7,word:0,work:374,nodes:30,pairs:14,completionMax:45us [11m11s] 21464 ab:aab=1,bbabaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21464 ab:aab=1,bbabaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21465 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:238,nodes:20,pairs:26,completionMax:71us [11m11s] 21465 ab:aab=1,bbabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21465 ab:aab=1,bbabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21466 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:237,nodes:20,pairs:26,completionMax:59us [11m11s] 21466 ab:aab=1,bbabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21466 ab:aab=1,bbabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21467 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:357,nodes:18,pairs:27,completionMax:74us [11m11s] 21467 ab:aab=1,bbabaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21467 ab:aab=1,bbabaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21468 solved: rounds:2,rules:2,peak:5,longest:8,steps:19,word:2,work:781,nodes:30,pairs:23,completionMax:68us [11m11s] 21468 ab:aab=1,bbababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21468 ab:aab=1,bbababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21469 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:1010,nodes:30,pairs:29,completionMax:128us [11m11s] 21469 ab:aab=1,bbababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21469 ab:aab=1,bbababab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21470 solved: rounds:4,rules:2,peak:8,longest:8,steps:4,word:4,work:726,nodes:28,pairs:38,completionMax:91us [11m11s] 21470 ab:aab=1,bbababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21470 ab:aab=1,bbababba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21471 solved: rounds:5,rules:2,peak:8,longest:10,steps:5,word:7,work:1116,nodes:36,pairs:42,completionMax:173us [11m11s] 21471 ab:aab=1,bbababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21471 ab:aab=1,bbababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21472 solved: rounds:2,rules:2,peak:8,longest:8,steps:19,word:3,work:987,nodes:30,pairs:20,completionMax:81us [11m11s] 21472 ab:aab=1,bbabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21472 ab:aab=1,bbabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21473 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:358,nodes:18,pairs:27,completionMax:64us [11m11s] 21473 ab:aab=1,bbabbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21473 ab:aab=1,bbabbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21474 solved: rounds:4,rules:2,peak:8,longest:8,steps:3,word:4,work:633,nodes:34,pairs:32,completionMax:97us [11m11s] 21474 ab:aab=1,bbabbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21474 ab:aab=1,bbabbaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21475 solved: rounds:4,rules:2,peak:7,longest:10,steps:6,word:7,work:680,nodes:28,pairs:30,completionMax:102us [11m11s] 21475 ab:aab=1,bbabbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21475 ab:aab=1,bbabbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21476 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:4,work:695,nodes:30,pairs:27,completionMax:84us [11m11s] 21476 ab:aab=1,bbabbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21476 ab:aab=1,bbabbbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21477 solved: rounds:3,rules:2,peak:9,longest:10,steps:5,word:14,work:2182,nodes:40,pairs:47,completionMax:164us [11m11s] 21477 ab:aab=1,bbabbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21477 ab:aab=1,bbabbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21478 solved: rounds:5,rules:2,peak:10,longest:10,steps:6,word:7,work:1536,nodes:38,pairs:54,completionMax:207us [11m11s] 21478 ab:aab=1,bbabbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21478 ab:aab=1,bbabbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21479 solved: rounds:6,rules:2,peak:7,longest:13,steps:11,word:10,work:2130,nodes:40,pairs:47,completionMax:156us [11m11s] 21479 ab:aab=1,bbabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21479 ab:aab=1,bbabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21480 solved: rounds:2,rules:2,peak:5,longest:8,steps:8,word:0,work:353,nodes:28,pairs:11,completionMax:28us [11m11s] 21480 ab:aab=1,bbbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21480 ab:aab=1,bbbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21481 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:247,nodes:16,pairs:15,completionMax:44us [11m11s] 21481 ab:aab=1,bbbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21481 ab:aab=1,bbbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21482 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:246,nodes:16,pairs:15,completionMax:43us [11m11s] 21482 ab:aab=1,bbbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21482 ab:aab=1,bbbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21483 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:752,nodes:26,pairs:24,completionMax:108us [11m11s] 21483 ab:aab=1,bbbaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21483 ab:aab=1,bbbaaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21484 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:245,nodes:16,pairs:15,completionMax:44us [11m11s] 21484 ab:aab=1,bbbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21484 ab:aab=1,bbbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21485 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:751,nodes:26,pairs:24,completionMax:94us [11m11s] 21485 ab:aab=1,bbbaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21485 ab:aab=1,bbbaabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21486 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:541,nodes:16,pairs:32,completionMax:67us [11m11s] 21486 ab:aab=1,bbbaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21486 ab:aab=1,bbbaabba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21487 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:254,nodes:20,pairs:17,completionMax:56us [11m11s] 21487 ab:aab=1,bbbaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21487 ab:aab=1,bbbaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21488 solved: rounds:2,rules:2,peak:8,longest:8,steps:19,word:3,work:931,nodes:28,pairs:19,completionMax:112us [11m11s] 21488 ab:aab=1,bbbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21488 ab:aab=1,bbbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21489 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:753,nodes:26,pairs:24,completionMax:76us [11m11s] 21489 ab:aab=1,bbbabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21489 ab:aab=1,bbbabaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21490 solved: rounds:4,rules:2,peak:7,longest:8,steps:3,word:4,work:369,nodes:30,pairs:28,completionMax:69us [11m11s] 21490 ab:aab=1,bbbababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21490 ab:aab=1,bbbababa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21491 solved: rounds:5,rules:2,peak:8,longest:10,steps:5,word:7,work:1001,nodes:34,pairs:43,completionMax:187us [11m11s] 21491 ab:aab=1,bbbababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21491 ab:aab=1,bbbababb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21492 solved: rounds:5,rules:2,peak:5,longest:8,steps:6,word:4,work:647,nodes:28,pairs:27,completionMax:68us [11m11s] 21492 ab:aab=1,bbbabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21492 ab:aab=1,bbbabbaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21493 solved: rounds:5,rules:2,peak:6,longest:10,steps:7,word:7,work:798,nodes:28,pairs:21,completionMax:96us [11m11s] 21493 ab:aab=1,bbbabbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21493 ab:aab=1,bbbabbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21494 solved: rounds:5,rules:2,peak:9,longest:10,steps:6,word:7,work:1718,nodes:30,pairs:63,completionMax:220us [11m11s] 21494 ab:aab=1,bbbabbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21494 ab:aab=1,bbbabbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21495 solved: rounds:6,rules:2,peak:9,longest:13,steps:7,word:10,work:2718,nodes:32,pairs:58,completionMax:245us [11m11s] 21495 ab:aab=1,bbbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21495 ab:aab=1,bbbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21496 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:1,work:287,nodes:26,pairs:25,completionMax:68us [11m11s] 21496 ab:aab=1,bbbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21496 ab:aab=1,bbbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21497 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:543,nodes:16,pairs:32,completionMax:85us [11m11s] 21497 ab:aab=1,bbbbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21497 ab:aab=1,bbbbaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21498 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:542,nodes:16,pairs:32,completionMax:91us [11m11s] 21498 ab:aab=1,bbbbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21498 ab:aab=1,bbbbaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21499 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:255,nodes:20,pairs:17,completionMax:60us [11m11s] 21499 ab:aab=1,bbbbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21499 ab:aab=1,bbbbaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21500 solved: rounds:4,rules:2,peak:5,longest:8,steps:7,word:4,work:469,nodes:26,pairs:24,completionMax:73us [11m11s] 21500 ab:aab=1,bbbbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21500 ab:aab=1,bbbbabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21501 solved: rounds:3,rules:2,peak:9,longest:10,steps:7,word:7,work:1747,nodes:40,pairs:36,completionMax:181us [11m11s] 21501 ab:aab=1,bbbbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21501 ab:aab=1,bbbbabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21502 solved: rounds:5,rules:2,peak:10,longest:10,steps:7,word:7,work:1891,nodes:34,pairs:57,completionMax:200us [11m11s] 21502 ab:aab=1,bbbbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21502 ab:aab=1,bbbbabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21503 solved: rounds:6,rules:2,peak:9,longest:13,steps:10,word:10,work:2765,nodes:30,pairs:47,completionMax:231us [11m11s] 21503 ab:aab=1,bbbbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21503 ab:aab=1,bbbbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21504 solved: rounds:4,rules:2,peak:6,longest:10,steps:8,word:8,work:733,nodes:26,pairs:24,completionMax:74us [11m11s] 21504 ab:aab=1,bbbbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21504 ab:aab=1,bbbbbaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21505 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:256,nodes:20,pairs:17,completionMax:60us [11m11s] 21505 ab:aab=1,bbbbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21505 ab:aab=1,bbbbbaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21506 solved: rounds:5,rules:2,peak:6,longest:10,steps:4,word:7,work:441,nodes:26,pairs:20,completionMax:84us [11m11s] 21506 ab:aab=1,bbbbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21506 ab:aab=1,bbbbbaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21507 solved: rounds:5,rules:2,peak:9,longest:13,steps:13,word:10,work:2789,nodes:26,pairs:49,completionMax:198us [11m11s] 21507 ab:aab=1,bbbbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21507 ab:aab=1,bbbbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21508 solved: rounds:5,rules:2,peak:6,longest:10,steps:7,word:7,work:1321,nodes:22,pairs:23,completionMax:82us [11m11s] 21508 ab:aab=1,bbbbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21508 ab:aab=1,bbbbbbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21509 solved: rounds:5,rules:2,peak:9,longest:13,steps:10,word:10,work:2179,nodes:26,pairs:56,completionMax:175us [11m11s] 21509 ab:aab=1,bbbbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21509 ab:aab=1,bbbbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21510 solved: rounds:6,rules:2,peak:9,longest:13,steps:10,word:10,work:2567,nodes:26,pairs:53,completionMax:222us [11m11s] 21510 ab:aab=1,bbbbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21510 ab:aab=1,bbbbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21511 solved: rounds:7,rules:2,peak:5,longest:16,steps:9,word:13,work:1791,nodes:32,pairs:25,completionMax:145us [11m11s] 21511 ab:aab=1,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a14;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [11m11s] from: 21511 ab:aab=1,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a14;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=a,b=aaaaaaaaaaaaaa [11m11s] # 21512 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:5,work:107,nodes:20,pairs:7,completionMax:30us [11m11s] 21512 ab:aba=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 21512 ab:aba=1,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 21513 solved: rounds:2,rules:2,peak:5,longest:8,steps:6,word:2,work:354,nodes:18,pairs:15,completionMax:52us [11m11s] 21513 ab:aba=1,aaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21513 ab:aba=1,aaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21514 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:79,nodes:14,pairs:7,completionMax:23us [11m11s] 21514 ab:aba=1,aaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21514 ab:aba=1,aaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21515 solved: rounds:3,rules:2,peak:6,longest:8,steps:4,word:0,work:163,nodes:22,pairs:13,completionMax:43us [11m11s] 21515 ab:aba=1,aaaaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21515 ab:aba=1,aaaaaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21516 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:78,nodes:14,pairs:7,completionMax:25us [11m11s] 21516 ab:aba=1,aaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21516 ab:aba=1,aaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21517 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:99,nodes:14,pairs:13,completionMax:31us [11m11s] 21517 ab:aba=1,aaaaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21517 ab:aba=1,aaaaabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21518 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:0,work:223,nodes:20,pairs:16,completionMax:31us [11m11s] 21518 ab:aba=1,aaaaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21518 ab:aba=1,aaaaabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21519 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:179,nodes:24,pairs:14,completionMax:39us [11m11s] 21519 ab:aba=1,aaaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21519 ab:aba=1,aaaaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21520 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:77,nodes:14,pairs:7,completionMax:23us [11m11s] 21520 ab:aba=1,aaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 21520 ab:aba=1,aaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 21521 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:98,nodes:14,pairs:13,completionMax:24us [11m11s] 21521 ab:aba=1,aaaabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21521 ab:aba=1,aaaabaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21522 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:8,pairs:7,completionMax:15us [11m11s] 21522 ab:aba=1,aaaababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21522 ab:aba=1,aaaababa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21523 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:85,nodes:16,pairs:9,completionMax:19us [11m11s] 21523 ab:aba=1,aaaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21523 ab:aba=1,aaaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21524 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:0,work:338,nodes:20,pairs:28,completionMax:59us [11m11s] 21524 ab:aba=1,aaaabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21524 ab:aba=1,aaaabbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21525 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:0,work:155,nodes:22,pairs:14,completionMax:43us [11m11s] 21525 ab:aba=1,aaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21525 ab:aba=1,aaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21526 solved: rounds:2,rules:2,peak:6,longest:8,steps:3,word:0,work:166,nodes:22,pairs:20,completionMax:43us [11m11s] 21526 ab:aba=1,aaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21526 ab:aba=1,aaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21527 solved: rounds:3,rules:2,peak:6,longest:12,steps:25,word:5,work:1706,nodes:38,pairs:26,completionMax:83us [11m11s] 21527 ab:aba=1,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21527 ab:aba=1,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21528 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:97,nodes:14,pairs:13,completionMax:36us [11m11s] 21528 ab:aba=1,aaabaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21528 ab:aba=1,aaabaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21529 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:41,nodes:8,pairs:7,completionMax:16us [11m11s] 21529 ab:aba=1,aaabaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21529 ab:aba=1,aaabaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21530 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:84,nodes:16,pairs:9,completionMax:26us [11m11s] 21530 ab:aba=1,aaabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21530 ab:aba=1,aaabaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21531 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:40,nodes:8,pairs:7,completionMax:16us [11m11s] 21531 ab:aba=1,aaababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21531 ab:aba=1,aaababaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21532 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:17,nodes:6,pairs:3,completionMax:6us [11m11s] 21532 ab:aba=1,aaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21532 ab:aba=1,aaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21533 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:155,nodes:14,pairs:12,completionMax:32us [11m11s] 21533 ab:aba=1,aaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21533 ab:aba=1,aaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21534 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:594,nodes:22,pairs:14,completionMax:54us [11m11s] 21534 ab:aba=1,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21534 ab:aba=1,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21535 solved: rounds:2,rules:2,peak:7,longest:8,steps:4,word:0,work:502,nodes:22,pairs:18,completionMax:51us [11m11s] 21535 ab:aba=1,aaabbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21535 ab:aba=1,aaabbaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21536 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:121,nodes:20,pairs:11,completionMax:21us [11m11s] 21536 ab:aba=1,aaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21536 ab:aba=1,aaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21537 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:87,nodes:16,pairs:9,completionMax:20us [11m11s] 21537 ab:aba=1,aaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21537 ab:aba=1,aaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21538 solved: rounds:3,rules:2,peak:6,longest:12,steps:25,word:5,work:1651,nodes:38,pairs:25,completionMax:89us [11m11s] 21538 ab:aba=1,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21538 ab:aba=1,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21539 solved: rounds:3,rules:2,peak:7,longest:8,steps:7,word:0,work:402,nodes:22,pairs:15,completionMax:46us [11m11s] 21539 ab:aba=1,aaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21539 ab:aba=1,aaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21540 solved: rounds:3,rules:2,peak:7,longest:8,steps:11,word:3,work:955,nodes:28,pairs:17,completionMax:62us [11m11s] 21540 ab:aba=1,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21540 ab:aba=1,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21541 solved: rounds:6,rules:2,peak:5,longest:8,steps:13,word:1,work:911,nodes:30,pairs:21,completionMax:66us [11m11s] 21541 ab:aba=1,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21541 ab:aba=1,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21542 solved: rounds:5,rules:2,peak:4,longest:8,steps:15,word:4,work:805,nodes:30,pairs:19,completionMax:53us [11m11s] 21542 ab:aba=1,aaabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21542 ab:aba=1,aaabbbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21543 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:96,nodes:14,pairs:13,completionMax:32us [11m11s] 21543 ab:aba=1,aabaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21543 ab:aba=1,aabaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21544 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:40,nodes:8,pairs:7,completionMax:11us [11m11s] 21544 ab:aba=1,aabaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21544 ab:aba=1,aabaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21545 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:83,nodes:16,pairs:9,completionMax:27us [11m11s] 21545 ab:aba=1,aabaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21545 ab:aba=1,aabaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21546 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:7,completionMax:16us [11m11s] 21546 ab:aba=1,aabaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21546 ab:aba=1,aabaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21547 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:6,pairs:3,completionMax:6us [11m11s] 21547 ab:aba=1,aabaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21547 ab:aba=1,aabaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21548 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:154,nodes:14,pairs:12,completionMax:32us [11m11s] 21548 ab:aba=1,aabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21548 ab:aba=1,aabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21549 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:593,nodes:22,pairs:14,completionMax:72us [11m11s] 21549 ab:aba=1,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21549 ab:aba=1,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21550 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:3,completionMax:6us [11m11s] 21550 ab:aba=1,aababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21550 ab:aba=1,aababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21551 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:8,pairs:3,completionMax:10us [11m11s] 21551 ab:aba=1,aabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21551 ab:aba=1,aabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21552 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:18us [11m11s] 21552 ab:aba=1,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21552 ab:aba=1,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21553 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:125,nodes:12,pairs:11,completionMax:26us [11m11s] 21553 ab:aba=1,aababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21553 ab:aba=1,aababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21554 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:175,nodes:14,pairs:12,completionMax:23us [11m11s] 21554 ab:aba=1,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21554 ab:aba=1,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21555 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:1,work:215,nodes:16,pairs:17,completionMax:36us [11m11s] 21555 ab:aba=1,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21555 ab:aba=1,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21556 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:435,nodes:16,pairs:13,completionMax:52us [11m11s] 21556 ab:aba=1,aababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21556 ab:aba=1,aababbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21557 solved: rounds:2,rules:2,peak:5,longest:8,steps:6,word:0,work:195,nodes:22,pairs:17,completionMax:33us [11m11s] 21557 ab:aba=1,aabbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21557 ab:aba=1,aabbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21558 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:158,nodes:14,pairs:12,completionMax:32us [11m11s] 21558 ab:aba=1,aabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21558 ab:aba=1,aabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21559 solved: rounds:3,rules:2,peak:5,longest:8,steps:12,word:3,work:651,nodes:30,pairs:24,completionMax:49us [11m11s] 21559 ab:aba=1,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21559 ab:aba=1,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21560 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:596,nodes:22,pairs:14,completionMax:71us [11m11s] 21560 ab:aba=1,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21560 ab:aba=1,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21561 solved: rounds:6,rules:2,peak:4,longest:8,steps:12,word:1,work:811,nodes:30,pairs:19,completionMax:60us [11m11s] 21561 ab:aba=1,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21561 ab:aba=1,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21562 solved: rounds:5,rules:2,peak:4,longest:8,steps:13,word:4,work:771,nodes:30,pairs:18,completionMax:62us [11m11s] 21562 ab:aba=1,aabbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21562 ab:aba=1,aabbabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21563 solved: rounds:3,rules:2,peak:6,longest:8,steps:8,word:3,work:684,nodes:28,pairs:18,completionMax:72us [11m11s] 21563 ab:aba=1,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21563 ab:aba=1,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21564 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:597,nodes:22,pairs:14,completionMax:78us [11m11s] 21564 ab:aba=1,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21564 ab:aba=1,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21565 solved: rounds:5,rules:2,peak:4,longest:8,steps:12,word:4,work:670,nodes:30,pairs:17,completionMax:74us [11m11s] 21565 ab:aba=1,aabbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21565 ab:aba=1,aabbbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21566 solved: rounds:6,rules:2,peak:4,longest:8,steps:10,word:1,work:682,nodes:30,pairs:20,completionMax:63us [11m11s] 21566 ab:aba=1,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21566 ab:aba=1,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21567 solved: rounds:4,rules:2,peak:4,longest:8,steps:10,word:4,work:541,nodes:28,pairs:15,completionMax:46us [11m11s] 21567 ab:aba=1,aabbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21567 ab:aba=1,aabbbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21568 solved: rounds:7,rules:2,peak:4,longest:8,steps:11,word:4,work:1078,nodes:30,pairs:19,completionMax:81us [11m11s] 21568 ab:aba=1,aabbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21568 ab:aba=1,aabbbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21569 solved: rounds:6,rules:2,peak:6,longest:10,steps:12,word:7,work:1229,nodes:30,pairs:23,completionMax:107us [11m11s] 21569 ab:aba=1,aabbbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21569 ab:aba=1,aabbbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21570 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:95,nodes:14,pairs:13,completionMax:24us [11m11s] 21570 ab:aba=1,abaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21570 ab:aba=1,abaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21571 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:7,completionMax:10us [11m11s] 21571 ab:aba=1,abaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21571 ab:aba=1,abaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21572 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:82,nodes:16,pairs:9,completionMax:18us [11m11s] 21572 ab:aba=1,abaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21572 ab:aba=1,abaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21573 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:3,completionMax:4us [11m11s] 21573 ab:aba=1,abaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21573 ab:aba=1,abaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21574 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:153,nodes:14,pairs:12,completionMax:21us [11m11s] 21574 ab:aba=1,abaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21574 ab:aba=1,abaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21575 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:592,nodes:22,pairs:14,completionMax:52us [11m11s] 21575 ab:aba=1,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21575 ab:aba=1,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21576 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:3,completionMax:8us [11m11s] 21576 ab:aba=1,abaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21576 ab:aba=1,abaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21577 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:8,pairs:3,completionMax:8us [11m11s] 21577 ab:aba=1,abaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21577 ab:aba=1,abaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21578 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:14us [11m11s] 21578 ab:aba=1,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21578 ab:aba=1,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21579 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:174,nodes:14,pairs:12,completionMax:30us [11m11s] 21579 ab:aba=1,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21579 ab:aba=1,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21580 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:1,work:214,nodes:16,pairs:17,completionMax:50us [11m11s] 21580 ab:aba=1,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21580 ab:aba=1,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21581 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:434,nodes:16,pairs:13,completionMax:43us [11m11s] 21581 ab:aba=1,abaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21581 ab:aba=1,abaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21582 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:91,nodes:16,pairs:19,completionMax:34us [11m11s] 21582 ab:aba=1,ababaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21582 ab:aba=1,ababaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21583 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:203,nodes:16,pairs:11,completionMax:33us [11m11s] 21583 ab:aba=1,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21583 ab:aba=1,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21584 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:13us [11m11s] 21584 ab:aba=1,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21584 ab:aba=1,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21585 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:135,nodes:16,pairs:12,completionMax:29us [11m11s] 21585 ab:aba=1,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21585 ab:aba=1,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21586 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:4,work:198,nodes:16,pairs:15,completionMax:43us [11m11s] 21586 ab:aba=1,abababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21586 ab:aba=1,abababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21587 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:137,nodes:14,pairs:10,completionMax:23us [11m11s] 21587 ab:aba=1,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21587 ab:aba=1,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21588 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:35,nodes:10,pairs:3,completionMax:14us [11m11s] 21588 ab:aba=1,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21588 ab:aba=1,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21589 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:238,nodes:14,pairs:14,completionMax:34us [11m11s] 21589 ab:aba=1,ababbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21589 ab:aba=1,ababbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21590 solved: rounds:4,rules:2,peak:4,longest:7,steps:6,word:4,work:228,nodes:14,pairs:15,completionMax:47us [11m11s] 21590 ab:aba=1,ababbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21590 ab:aba=1,ababbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21591 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:448,nodes:14,pairs:14,completionMax:52us [11m11s] 21591 ab:aba=1,ababbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21591 ab:aba=1,ababbbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21592 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:506,nodes:20,pairs:12,completionMax:51us [11m11s] 21592 ab:aba=1,ababbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21592 ab:aba=1,ababbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21593 solved: rounds:2,rules:2,peak:5,longest:8,steps:6,word:0,work:214,nodes:20,pairs:17,completionMax:24us [11m11s] 21593 ab:aba=1,abbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21593 ab:aba=1,abbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21594 solved: rounds:4,rules:2,peak:4,longest:8,steps:11,word:1,work:624,nodes:28,pairs:17,completionMax:47us [11m11s] 21594 ab:aba=1,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21594 ab:aba=1,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21595 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:178,nodes:14,pairs:12,completionMax:30us [11m11s] 21595 ab:aba=1,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21595 ab:aba=1,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21596 solved: rounds:5,rules:2,peak:4,longest:8,steps:10,word:1,work:652,nodes:28,pairs:17,completionMax:45us [11m11s] 21596 ab:aba=1,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21596 ab:aba=1,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21597 solved: rounds:5,rules:2,peak:4,longest:8,steps:12,word:4,work:811,nodes:28,pairs:17,completionMax:61us [11m11s] 21597 ab:aba=1,abbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21597 ab:aba=1,abbaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21598 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:177,nodes:14,pairs:12,completionMax:26us [11m11s] 21598 ab:aba=1,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21598 ab:aba=1,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21599 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:437,nodes:16,pairs:13,completionMax:44us [11m11s] 21599 ab:aba=1,abbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21599 ab:aba=1,abbababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21600 solved: rounds:4,rules:2,peak:4,longest:8,steps:9,word:4,work:666,nodes:26,pairs:17,completionMax:71us [11m11s] 21600 ab:aba=1,abbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21600 ab:aba=1,abbabbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21601 solved: rounds:7,rules:2,peak:4,longest:8,steps:10,word:4,work:881,nodes:28,pairs:20,completionMax:72us [11m11s] 21601 ab:aba=1,abbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21601 ab:aba=1,abbabbba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21602 solved: rounds:6,rules:2,peak:6,longest:10,steps:11,word:7,work:1378,nodes:28,pairs:22,completionMax:105us [11m11s] 21602 ab:aba=1,abbabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21602 ab:aba=1,abbabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21603 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:491,nodes:28,pairs:19,completionMax:57us [11m11s] 21603 ab:aba=1,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21603 ab:aba=1,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21604 solved: rounds:5,rules:2,peak:4,longest:8,steps:10,word:4,work:700,nodes:28,pairs:17,completionMax:55us [11m11s] 21604 ab:aba=1,abbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21604 ab:aba=1,abbbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21605 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:438,nodes:16,pairs:13,completionMax:53us [11m11s] 21605 ab:aba=1,abbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21605 ab:aba=1,abbbabab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21606 solved: rounds:6,rules:2,peak:6,longest:10,steps:10,word:7,work:1293,nodes:28,pairs:21,completionMax:104us [11m11s] 21606 ab:aba=1,abbbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21606 ab:aba=1,abbbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21607 solved: rounds:4,rules:2,peak:4,longest:8,steps:6,word:4,work:435,nodes:26,pairs:16,completionMax:45us [11m11s] 21607 ab:aba=1,abbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21607 ab:aba=1,abbbbaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21608 solved: rounds:6,rules:2,peak:6,longest:10,steps:9,word:7,work:1233,nodes:28,pairs:21,completionMax:86us [11m11s] 21608 ab:aba=1,abbbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21608 ab:aba=1,abbbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21609 solved: rounds:6,rules:2,peak:5,longest:10,steps:7,word:7,work:823,nodes:26,pairs:21,completionMax:68us [11m11s] 21609 ab:aba=1,abbbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21609 ab:aba=1,abbbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21610 solved: rounds:8,rules:2,peak:4,longest:10,steps:7,word:7,work:877,nodes:28,pairs:22,completionMax:101us [11m11s] 21610 ab:aba=1,abbbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21610 ab:aba=1,abbbbbba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21611 solved: rounds:7,rules:2,peak:5,longest:13,steps:9,word:10,work:2072,nodes:28,pairs:23,completionMax:144us [11m11s] 21611 ab:aba=1,abbbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21611 ab:aba=1,abbbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21612 solved: rounds:2,rules:2,peak:6,longest:8,steps:4,word:0,work:268,nodes:28,pairs:23,completionMax:37us [11m11s] 21612 ab:aba=1,baaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 21612 ab:aba=1,baaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 21613 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:0,work:198,nodes:28,pairs:15,completionMax:39us [11m11s] 21613 ab:aba=1,baaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21613 ab:aba=1,baaaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21614 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:95,nodes:16,pairs:19,completionMax:30us [11m11s] 21614 ab:aba=1,baaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21614 ab:aba=1,baaaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21615 solved: rounds:3,rules:2,peak:7,longest:9,steps:14,word:3,work:1423,nodes:30,pairs:21,completionMax:89us [11m11s] 21615 ab:aba=1,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21615 ab:aba=1,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21616 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:94,nodes:16,pairs:19,completionMax:26us [11m11s] 21616 ab:aba=1,baaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 21616 ab:aba=1,baaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 21617 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:206,nodes:16,pairs:11,completionMax:21us [11m11s] 21617 ab:aba=1,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21617 ab:aba=1,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21618 solved: rounds:3,rules:2,peak:6,longest:8,steps:12,word:3,work:935,nodes:28,pairs:21,completionMax:83us [11m11s] 21618 ab:aba=1,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21618 ab:aba=1,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21619 solved: rounds:3,rules:2,peak:6,longest:21,steps:34,word:16,work:2458,nodes:54,pairs:34,completionMax:136us [11m11s] 21619 ab:aba=1,baaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21619 ab:aba=1,baaabbbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21620 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:205,nodes:16,pairs:11,completionMax:29us [11m11s] 21620 ab:aba=1,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21620 ab:aba=1,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21621 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:36,nodes:10,pairs:3,completionMax:13us [11m11s] 21621 ab:aba=1,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21621 ab:aba=1,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21622 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:4,work:200,nodes:16,pairs:15,completionMax:49us [11m11s] 21622 ab:aba=1,baababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21622 ab:aba=1,baababbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21623 solved: rounds:3,rules:2,peak:5,longest:8,steps:10,word:3,work:652,nodes:28,pairs:18,completionMax:65us [11m11s] 21623 ab:aba=1,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21623 ab:aba=1,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21624 solved: rounds:3,rules:2,peak:6,longest:21,steps:34,word:16,work:2374,nodes:54,pairs:33,completionMax:149us [11m11s] 21624 ab:aba=1,baabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21624 ab:aba=1,baabbabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21625 solved: rounds:5,rules:2,peak:4,longest:8,steps:13,word:4,work:701,nodes:28,pairs:18,completionMax:58us [11m11s] 21625 ab:aba=1,baabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21625 ab:aba=1,baabbbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21626 solved: rounds:5,rules:2,peak:5,longest:10,steps:16,word:7,work:1178,nodes:28,pairs:21,completionMax:67us [11m11s] 21626 ab:aba=1,baabbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21626 ab:aba=1,baabbbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21627 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:204,nodes:16,pairs:11,completionMax:25us [11m11s] 21627 ab:aba=1,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21627 ab:aba=1,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21628 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:35,nodes:10,pairs:3,completionMax:9us [11m11s] 21628 ab:aba=1,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21628 ab:aba=1,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21629 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:4,work:199,nodes:16,pairs:15,completionMax:32us [11m11s] 21629 ab:aba=1,babaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21629 ab:aba=1,babaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21630 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:239,nodes:14,pairs:14,completionMax:33us [11m11s] 21630 ab:aba=1,babababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21630 ab:aba=1,babababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21631 solved: rounds:4,rules:2,peak:4,longest:7,steps:6,word:4,work:229,nodes:14,pairs:15,completionMax:42us [11m11s] 21631 ab:aba=1,bababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21631 ab:aba=1,bababbab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21632 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:507,nodes:20,pairs:12,completionMax:43us [11m11s] 21632 ab:aba=1,bababbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21632 ab:aba=1,bababbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21633 solved: rounds:4,rules:2,peak:4,longest:8,steps:12,word:4,work:601,nodes:28,pairs:15,completionMax:36us [11m11s] 21633 ab:aba=1,babbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21633 ab:aba=1,babbaabb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21634 solved: rounds:5,rules:2,peak:5,longest:10,steps:14,word:7,work:1086,nodes:28,pairs:20,completionMax:59us [11m11s] 21634 ab:aba=1,babbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21634 ab:aba=1,babbabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21635 solved: rounds:5,rules:2,peak:5,longest:10,steps:13,word:7,work:1002,nodes:28,pairs:19,completionMax:97us [11m11s] 21635 ab:aba=1,babbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21635 ab:aba=1,babbbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21636 solved: rounds:6,rules:2,peak:4,longest:10,steps:12,word:7,work:898,nodes:28,pairs:20,completionMax:73us [11m11s] 21636 ab:aba=1,babbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21636 ab:aba=1,babbbbab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21637 solved: rounds:6,rules:2,peak:5,longest:13,steps:9,word:10,work:1849,nodes:28,pairs:20,completionMax:81us [11m11s] 21637 ab:aba=1,babbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21637 ab:aba=1,babbbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21638 solved: rounds:3,rules:2,peak:6,longest:8,steps:11,word:1,work:398,nodes:20,pairs:12,completionMax:35us [11m11s] 21638 ab:aba=1,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 21638 ab:aba=1,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 21639 solved: rounds:6,rules:2,peak:4,longest:8,steps:13,word:4,work:551,nodes:20,pairs:14,completionMax:35us [11m11s] 21639 ab:aba=1,bbaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21639 ab:aba=1,bbaaabbb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21640 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:241,nodes:14,pairs:14,completionMax:27us [11m11s] 21640 ab:aba=1,bbaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 21640 ab:aba=1,bbaababb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 21641 solved: rounds:7,rules:2,peak:4,longest:10,steps:13,word:7,work:862,nodes:20,pairs:16,completionMax:51us [11m11s] 21641 ab:aba=1,bbaabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21641 ab:aba=1,bbaabbbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21642 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:508,nodes:20,pairs:12,completionMax:62us [11m11s] 21642 ab:aba=1,bbababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21642 ab:aba=1,bbababbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21643 solved: rounds:7,rules:2,peak:4,longest:10,steps:11,word:7,work:830,nodes:20,pairs:18,completionMax:74us [11m11s] 21643 ab:aba=1,bbabbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21643 ab:aba=1,bbabbabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21644 solved: rounds:9,rules:2,peak:4,longest:13,steps:11,word:10,work:1718,nodes:26,pairs:19,completionMax:157us [11m11s] 21644 ab:aba=1,bbabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21644 ab:aba=1,bbabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21645 solved: rounds:7,rules:2,peak:4,longest:10,steps:11,word:7,work:806,nodes:20,pairs:17,completionMax:72us [11m11s] 21645 ab:aba=1,bbbaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 21645 ab:aba=1,bbbaabbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 21646 solved: rounds:9,rules:2,peak:4,longest:13,steps:10,word:10,work:1700,nodes:26,pairs:20,completionMax:120us [11m11s] 21646 ab:aba=1,bbbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 21646 ab:aba=1,bbbabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 21647 solved: rounds:9,rules:2,peak:4,longest:16,steps:12,word:13,work:2282,nodes:32,pairs:16,completionMax:175us [11m11s] 21647 ab:aba=1,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a14;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaaa [11m11s] from: 21647 ab:aba=1,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a14;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=a,b=aaaaaaaaaaaaaa [11m11s] # 21648 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [11m11s] 21648 ab:aaa=1,aaaaaaa=a infinite ab - - ab:aaa=1 [11m11s] from: 21648 ab:aaa=1,aaaaaaa=a infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [11m11s] # 21649 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [11m11s] 21649 ab:aaa=1,aaaaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21649 ab:aaa=1,aaaaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21650 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:2us [11m11s] 21650 ab:aaa=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21650 ab:aaa=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21651 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [11m11s] 21651 ab:aaa=1,aaaaaab=b infinite ab - - ab:aaa=1 [11m11s] from: 21651 ab:aaa=1,aaaaaab=b infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [11m11s] # 21652 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:54,nodes:10,pairs:6,completionMax:25us [11m11s] 21652 ab:aaa=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21652 ab:aaa=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21653 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:49,nodes:10,pairs:4,completionMax:11us [11m11s] 21653 ab:aaa=1,aaaaaba=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [11m11s] from: 21653 ab:aaa=1,aaaaaba=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [11m11s] # 21654 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:69,nodes:16,pairs:7,completionMax:24us [11m11s] 21654 ab:aaa=1,aaaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21654 ab:aaa=1,aaaaabb=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21655 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:3,completionMax:11us [11m11s] 21655 ab:aaa=1,aaaaabb=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 21655 ab:aaa=1,aaaaabb=b finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 21656 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:54,nodes:14,pairs:7,completionMax:18us [11m11s] 21656 ab:aaa=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21656 ab:aaa=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21657 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:0,work:72,nodes:12,pairs:4,completionMax:9us [11m11s] 21657 ab:aaa=1,aaaabaa=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [11m11s] from: 21657 ab:aaa=1,aaaabaa=b infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [11m11s] # 21658 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:249,nodes:14,pairs:20,completionMax:46us [11m11s] 21658 ab:aaa=1,aaaabab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21658 ab:aaa=1,aaaabab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21659 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:129,nodes:16,pairs:5,completionMax:27us [11m11s] 21659 ab:aaa=1,aaaabab=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 21659 ab:aaa=1,aaaabab=b finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 21660 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:105,nodes:14,pairs:10,completionMax:26us [11m11s] 21660 ab:aaa=1,aaaabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21660 ab:aaa=1,aaaabba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21661 solved: rounds:4,rules:6,peak:7,longest:6,steps:11,word:0,work:1817,nodes:30,pairs:10,completionMax:90us [11m11s] 21661 ab:aaa=1,aaaabba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [11m11s] from: 21661 ab:aaa=1,aaaabba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [11m11s] # 21662 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:14,pairs:1,completionMax:8us [11m11s] 21662 ab:aaa=1,aaaabbb=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 21662 ab:aaa=1,aaaabbb=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 21663 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:58,nodes:18,pairs:5,completionMax:22us [11m11s] 21663 ab:aaa=1,aaaabbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21663 ab:aaa=1,aaaabbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21664 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:1us [11m11s] 21664 ab:aaa=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21664 ab:aaa=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21665 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:2us [11m11s] 21665 ab:aaa=1,aaabaaa=b infinite ab - - ab:aaa=1 [11m11s] from: 21665 ab:aaa=1,aaabaaa=b infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [11m11s] # 21666 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:3us [11m11s] 21666 ab:aaa=1,aaabaab=a infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [11m11s] from: 21666 ab:aaa=1,aaabaab=a infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [11m11s] # 21667 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:2us [11m11s] 21667 ab:aaa=1,aaabaab=b infinite ab - - ab:aaa=1,baab=b [11m11s] from: 21667 ab:aaa=1,aaabaab=b infinite to: 751 ab:aaa=1,baab=b infinite a=a,b=b [11m11s] # 21668 solved: rounds:6,rules:2,peak:4,longest:6,steps:3,word:3,work:151,nodes:12,pairs:13,completionMax:31us [11m11s] 21668 ab:aaa=1,aaababa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21668 ab:aaa=1,aaababa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21669 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:0,work:232,nodes:14,pairs:9,completionMax:26us [11m11s] 21669 ab:aaa=1,aaababa=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [11m11s] from: 21669 ab:aaa=1,aaababa=b finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [11m11s] # 21670 solved: rounds:3,rules:3,peak:6,longest:9,steps:20,word:54,work:2822,nodes:30,pairs:27,completionMax:158us [11m11s] 21670 ab:aaa=1,aaababb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 21670 ab:aaa=1,aaababb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21671 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [11m11s] 21671 ab:aaa=1,aaababb=b infinite ab - - ab:aaa=1,babb=b [11m11s] from: 21671 ab:aaa=1,aaababb=b infinite to: 753 ab:aaa=1,babb=b infinite a=a,b=b [11m11s] # 21672 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:57,nodes:14,pairs:7,completionMax:21us [11m11s] 21672 ab:aaa=1,aaabbaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21672 ab:aaa=1,aaabbaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21673 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:3,completionMax:8us [11m11s] 21673 ab:aaa=1,aaabbaa=b finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [11m11s] from: 21673 ab:aaa=1,aaabbaa=b finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [11m11s] # 21674 solved: rounds:4,rules:3,peak:8,longest:9,steps:8,word:6,work:1013,nodes:30,pairs:25,completionMax:112us [11m11s] 21674 ab:aaa=1,aaabbab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [11m11s] from: 21674 ab:aaa=1,aaabbab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21675 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [11m11s] 21675 ab:aaa=1,aaabbab=b infinite ab - - ab:aaa=1,bbab=b [11m11s] from: 21675 ab:aaa=1,aaabbab=b infinite to: 753 ab:aaa=1,babb=b infinite anti:a=a,b=b [11m11s] # 21676 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:6us [11m11s] 21676 ab:aaa=1,aaabbba=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 21676 ab:aaa=1,aaabbba=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 21677 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:3,work:50,nodes:18,pairs:3,completionMax:18us [11m11s] 21677 ab:aaa=1,aaabbba=b finite:21;idempotents:1,abb,aabbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aaa=1 [11m11s] from: 21677 ab:aaa=1,aaabbba=b finite:21;idempotents:1,abb,aabbbb,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb anti:a=a,b=b [11m11s] # 21678 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:71,nodes:24,pairs:3,completionMax:17us [11m11s] 21678 ab:aaa=1,aaabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21678 ab:aaa=1,aaabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21679 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [11m11s] 21679 ab:aaa=1,aaabbbb=b infinite ab - - ab:aaa=1,bbbb=b [11m11s] from: 21679 ab:aaa=1,aaabbbb=b infinite to: 755 ab:aaa=1,bbbb=b infinite a=a,b=b [11m11s] # 21680 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:72,nodes:16,pairs:7,completionMax:19us [11m11s] 21680 ab:aaa=1,aabaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21680 ab:aaa=1,aabaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21681 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:37,nodes:12,pairs:3,completionMax:8us [11m11s] 21681 ab:aaa=1,aabaaab=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 21681 ab:aaa=1,aabaaab=b finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 21682 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:133,nodes:22,pairs:6,completionMax:30us [11m11s] 21682 ab:aaa=1,aabaaba=a infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [11m11s] from: 21682 ab:aaa=1,aabaaba=a infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [11m11s] # 21683 solved: rounds:3,rules:8,peak:10,longest:7,steps:7,word:0,work:2371,nodes:32,pairs:44,completionMax:134us [11m11s] 21683 ab:aaa=1,aabaaba=b finite:24;idempotents:1,bbb;center:1,bbb ab - - ab:aaa=1,baab=abaa,baba=aabb,babb=abba,bbaa=abab,bbab=aaba,bbba=abbb,bbbb=b [11m11s] # 21684 solved: rounds:4,rules:3,peak:7,longest:48,steps:92,word:51,work:31940,nodes:140,pairs:104,completionMax:1374us [11m11s] 21684 ab:aaa=1,aabaabb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [11m11s] from: 21684 ab:aaa=1,aabaabb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21685 solved: rounds:3,rules:4,peak:4,longest:7,steps:2,word:0,work:167,nodes:22,pairs:6,completionMax:20us [11m11s] 21685 ab:aaa=1,aabaabb=b infinite ab - - ab:aaa=1,baabb=ab,baabab=aab,baabaab=b [11m11s] from: 21685 ab:aaa=1,aabaabb=b infinite to: 7808 ab:aaa=1,baabb=ab infinite a=a,b=b [11m11s] # 21686 solved: rounds:4,rules:2,peak:7,longest:13,steps:17,word:9,work:959,nodes:32,pairs:37,completionMax:119us [11m11s] 21686 ab:aaa=1,aababaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21686 ab:aaa=1,aababaa=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21687 solved: rounds:4,rules:7,peak:9,longest:7,steps:6,word:0,work:2311,nodes:32,pairs:36,completionMax:149us [11m11s] 21687 ab:aaa=1,aababaa=b finite:27;idempotents:1,bbb;center:1,bbb,aabaab ab - - ab:aaa=1,bab=aba,bbba=abbb,bbbb=b,baaba=abaab,baabb=aabba,bbaab=abbaa [11m11s] from: 21687 ab:aaa=1,aababaa=b finite:27;idempotents:1,bbb;center:1,bbb,aabaab to: 1310 ab:bab=aba,bbb=1 finite:27;idempotents:1,aaa;center:1,aaa,bbabba a=b,b=a [11m11s] # 21688 solved: rounds:1,rules:2,peak:3,longest:7,steps:2,word:0,work:45,nodes:22,pairs:2,completionMax:11us [11m11s] 21688 ab:aaa=1,aababab=a infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [11m11s] from: 21688 ab:aaa=1,aababab=a infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [11m11s] # 21689 solved: rounds:5,rules:3,peak:8,longest:7,steps:4,word:3,work:721,nodes:24,pairs:34,completionMax:73us [11m11s] 21689 ab:aaa=1,aababab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21689 ab:aaa=1,aababab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21690 solved: rounds:5,rules:3,peak:8,longest:10,steps:395,word:2361,work:99675,nodes:24,pairs:63,completionMax:3552us [11m11s] 21690 ab:aaa=1,aababba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 21690 ab:aaa=1,aababba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21691 solved: rounds:6,rules:17,peak:25,longest:11,steps:13,word:6,work:63352,nodes:158,pairs:178,completionMax:2381us [11m11s] 21691 ab:aaa=1,aababba=b finite:129;idempotents:1,bbbbbb;center:1,bbbbbb reversed:a/b - - ab:aaa=1,babb=abaa,bbba=aababab,baababa=aabbaab,babaaba=aabaabb,baabaaba=abbab,baabbaa=ababaab,bbabaa=aabaabaab,bababaa=abbb,bbaabaa=abaabab,bbabab=abaaba,baabaabba=abaabaabb,baabbaba=abaabbab,baabbbb=aaba,bbaabbb=aabbaba,bababababa=aabbbbb,bbbbbbb=b [11m11s] from: 21691 ab:aaa=1,aababba=b finite:129;idempotents:1,bbbbbb;center:1,bbbbbb to: 7795 ab:aaa=1,abbab=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb anti:a=a,b=b [11m11s] # 21692 solved: rounds:4,rules:4,peak:8,longest:13,steps:8,word:9,work:2446,nodes:60,pairs:24,completionMax:149us [11m11s] 21692 ab:aaa=1,aababbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [11m11s] from: 21692 ab:aaa=1,aababbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21693 solved: rounds:5,rules:4,peak:14,longest:12,steps:18,word:12,work:12313,nodes:76,pairs:28,completionMax:465us [11m11s] 21693 ab:aaa=1,aababbb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbbbbb,baab=aabbbbb,aaa=1 [11m11s] from: 21693 ab:aaa=1,aababbb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7815 ab:aaa=1,babbb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21694 solved: rounds:4,rules:3,peak:10,longest:9,steps:10,word:12,work:3335,nodes:44,pairs:67,completionMax:341us [11m11s] 21694 ab:aaa=1,aabbaab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 21694 ab:aaa=1,aabbaab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21695 solved: rounds:4,rules:3,peak:6,longest:7,steps:2,word:3,work:304,nodes:22,pairs:21,completionMax:62us [11m11s] 21695 ab:aaa=1,aabbaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21695 ab:aaa=1,aabbaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21696 solved: rounds:5,rules:3,peak:9,longest:10,steps:13,word:12,work:3296,nodes:54,pairs:46,completionMax:243us [11m11s] 21696 ab:aaa=1,aabbaba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [11m11s] from: 21696 ab:aaa=1,aabbaba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21697 solved: rounds:7,rules:74,peak:74,longest:8,steps:12,word:0,work:154143,nodes:234,pairs:367,completionMax:4859us [11m11s] 21697 ab:aaa=1,aabbaba=b infinite acb baab=c frequency:4/0 abc:aaa=1,caca=aacc,caba=aabc,ccaa=acac,ccca=accc,ccba=acbc,cbac=abaa,cbcc=abca,cbbc=abba,baac=caab,baab=c,bcaa=acab,bcac=ccab,bcab=acac,bbaa=cbab,bbac=abab,bbab=abaa,cbaba=bb,cbabc=acabb,cbabb=bc,cbcba=aacbb,cbcbc=accbb,cbcbb=aacbc,cbbba=acbbb,cbbbc=aabbb,cbbbb=aabba,babaca=aabbcc,bababa=aabbbc,babcca=cabbcc,babcba=cabbbc,babbcc=aabcca,babbbc=aabcba,bbbcca=abbbcc,bbbcba=abbbbc,bbbbcc=aababa,bbbbbc=aab,caabaca=bacc,caababa=babc,caabcca=bccc,caabcba=bcbc,caabbcc=bbca,caabbbc=bbba,cabbcca=aabbccc,cabbcba=aabbcbc,cabbbcc=aabbbca,cabbbbc=aabbbba,ccabcca=acabccc,ccabcba=acabcbc,ccabbcc=acabbca,ccabbbc=acabbba,babbcba=aabbcbb,babbcbc=cabbcbb,babbcbb=aabbcbc,babbbba=cabbbbb,babbbbc=aabbbbb,babbbbb=aabbbba,bbbbcbc=abbbcbb,bbbbcbb=aabbbbc,bbbbbba=abbbbbb,bbbbbbb=b,caabbcba=bacbb,caabbcbc=bccbb,caabbcbb=bacbc,caabbbba=bcbbb,caabbbbc=babbb,caabbbbb=babba,cabbbcbc=aabbccbb,cabbbcbb=babbc,cabbbbba=aabbcbbb,cabbbbbb=ca,ccabbcbc=acabccbb,ccabbcbb=bccbc,ccabbbba=acabcbbb,ccabbbbb=bcbba [11m11s] from: 21697 ab:aaa=1,aabbaba=b infinite to: 7791 ab:aaa=1,ababb=ba infinite anti:a=a,b=b,c=c [11m11s] # 21698 solved: rounds:4,rules:4,peak:5,longest:7,steps:3,word:0,work:383,nodes:30,pairs:10,completionMax:47us [11m11s] 21698 ab:aaa=1,aabbabb=a infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [11m11s] from: 21698 ab:aaa=1,aabbabb=a infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [11m11s] # 21699 solved: rounds:5,rules:4,peak:13,longest:11,steps:16,word:12,work:5736,nodes:64,pairs:67,completionMax:498us [11m11s] 21699 ab:aaa=1,aabbabb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbb,baab=aabbbbbbbb,aaa=1 [11m11s] from: 21699 ab:aaa=1,aabbabb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7819 ab:aaa=1,bbabb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21700 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:161,nodes:22,pairs:12,completionMax:38us [11m11s] 21700 ab:aaa=1,aabbbaa=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 21700 ab:aaa=1,aabbbaa=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 21701 solved: rounds:6,rules:9,peak:14,longest:29,steps:22,word:42,work:24437,nodes:172,pairs:66,completionMax:1061us [11m11s] 21701 ab:aaa=1,aabbbaa=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=babbbbbbbbbbbbbbbbbbbbbb,aba=bbb,abba=bbbabbb,baa=bbabbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbb,aaa=1 [11m11s] from: 21701 ab:aaa=1,aabbbaa=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=a [11m11s] # 21702 solved: rounds:4,rules:4,peak:7,longest:13,steps:8,word:6,work:2076,nodes:60,pairs:22,completionMax:115us [11m11s] 21702 ab:aaa=1,aabbbab=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [11m11s] from: 21702 ab:aaa=1,aabbbab=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21703 solved: rounds:3,rules:4,peak:4,longest:7,steps:2,word:0,work:141,nodes:22,pairs:6,completionMax:23us [11m11s] 21703 ab:aaa=1,aabbbab=b infinite ab - - ab:aaa=1,bbbb=b,bbbab=ab,bbbaab=aab [11m11s] from: 21703 ab:aaa=1,aabbbab=b infinite to: 7816 ab:aaa=1,babbb=ba infinite anti:a=a,b=b [11m11s] # 21704 solved: rounds:2,rules:2,peak:5,longest:12,steps:3,word:6,work:343,nodes:42,pairs:16,completionMax:79us [11m11s] 21704 ab:aaa=1,aabbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21704 ab:aaa=1,aabbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21705 solved: rounds:2,rules:3,peak:4,longest:66,steps:67,word:189,work:7141,nodes:258,pairs:11,completionMax:1022us [11m11s] 21705 ab:aaa=1,aabbbba=b finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ab=bbbba,aaa=1 [11m11s] from: 21705 ab:aaa=1,aabbbba=b finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7802 ab:aaa=1,abbbb=ba finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 21706 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:9,work:135,nodes:40,pairs:7,completionMax:43us [11m11s] 21706 ab:aaa=1,aabbbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21706 ab:aaa=1,aabbbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21707 solved: rounds:2,rules:3,peak:3,longest:13,steps:2,word:6,work:57,nodes:30,pairs:3,completionMax:21us [11m11s] 21707 ab:aaa=1,aabbbbb=b finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21707 ab:aaa=1,aabbbbb=b finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb to: 7822 ab:aaa=1,bbbbb=ab finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb a=a,b=b [11m11s] # 21708 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:251,nodes:14,pairs:20,completionMax:56us [11m11s] 21708 ab:aaa=1,abaaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21708 ab:aaa=1,abaaaab=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21709 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:131,nodes:16,pairs:5,completionMax:22us [11m11s] 21709 ab:aaa=1,abaaaab=b finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 21709 ab:aaa=1,abaaaab=b finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 21710 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:107,nodes:14,pairs:10,completionMax:35us [11m11s] 21710 ab:aaa=1,abaaaba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 21710 ab:aaa=1,abaaaba=a finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 21711 solved: rounds:4,rules:6,peak:7,longest:6,steps:11,word:0,work:1819,nodes:30,pairs:10,completionMax:96us [11m11s] 21711 ab:aaa=1,abaaaba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [11m11s] from: 21711 ab:aaa=1,abaaaba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [11m11s] # 21712 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:14,pairs:1,completionMax:7us [11m11s] 21712 ab:aaa=1,abaaabb=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 21712 ab:aaa=1,abaaabb=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 21713 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:60,nodes:18,pairs:5,completionMax:20us [11m11s] 21713 ab:aaa=1,abaaabb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21713 ab:aaa=1,abaaabb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21714 solved: rounds:6,rules:3,peak:10,longest:10,steps:17,word:9,work:5738,nodes:34,pairs:84,completionMax:400us [11m11s] 21714 ab:aaa=1,abaabab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 21714 ab:aaa=1,abaabab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21715 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:0,work:292,nodes:26,pairs:8,completionMax:28us [11m11s] 21715 ab:aaa=1,abaabab=b infinite ab - - ab:aaa=1,baabb=ab,baabab=aab,baabaab=b [11m11s] from: 21715 ab:aaa=1,abaabab=b infinite to: 7808 ab:aaa=1,baabb=ab infinite a=a,b=b [11m11s] # 21716 solved: rounds:4,rules:3,peak:5,longest:10,steps:13,word:15,work:1171,nodes:38,pairs:17,completionMax:96us [11m11s] 21716 ab:aaa=1,abaabba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [11m11s] from: 21716 ab:aaa=1,abaabba=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21717 solved: rounds:7,rules:34,peak:44,longest:15,steps:19,word:9,work:311667,nodes:228,pairs:1442,completionMax:23143us [11m11s] 21717 ab:aaa=1,abaabba=b finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,bbbbabbbabbabba reversed:b/a - - ab:bbbbbbb=b,bbbbbbab=ab,abbbbbb=bbbbbba,abbbbba=bbbbabbbbb,bbbbbbaab=aab,abbbbab=bbabbba,abbbabbbbb=bbbbabbbba,aaa=1,abaa=baabbbb,abbaa=babbabbb,abbbbaa=bbababbbbb,abbaba=bbbbbabab,aabba=bbbbbaab,ababbba=bbbbabbbab,abbabbba=bbbbbabb,aabbbba=bbbbbab,abbbabbbba=bbbbabbabbbbb,abbbaab=bbababa,abbabbab=bbbbbabbabbbba,aabbbab=bbbbbababbbba,abbbabbbab=bbbbaabbba,abababb=babbbaa,aababbb=bababba,ababbabbb=bbbbbaaba,abbbabbabbbb=bbbbbabbabba,aabbbaa=bbbbaababb,abbbabbbaa=bbbbbababbabb,aababa=bbbbabbbababbbb,abababa=bbbbbabbabbbb,abbbababa=bbbbabbbabab,aababba=bbaabbb,abbbababba=bbbabbbabbabb,ababbabba=babbbabbb,abbbababbbba=bbababbab [11m11s] # 21718 solved: rounds:5,rules:2,peak:6,longest:12,steps:5,word:6,work:1206,nodes:36,pairs:28,completionMax:103us [11m11s] 21718 ab:aaa=1,abaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21718 ab:aaa=1,abaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21719 solved: rounds:5,rules:4,peak:12,longest:33,steps:26,word:27,work:18379,nodes:106,pairs:26,completionMax:687us [11m11s] 21719 ab:aaa=1,abaabbb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbb,baab=aabbbbbbbb,aaa=1 [11m11s] from: 21719 ab:aaa=1,abaabbb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7819 ab:aaa=1,bbabb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21720 solved: rounds:4,rules:3,peak:22,longest:17,steps:16,word:15,work:29359,nodes:108,pairs:143,completionMax:950us [11m11s] 21720 ab:aaa=1,ababaab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb reversed:b/a - - ab:bbbbbbbbb=1,ab=bbbbbbba,aaa=1 [11m11s] from: 21720 ab:aaa=1,ababaab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb anti:a=a,b=b [11m11s] # 21721 solved: rounds:4,rules:3,peak:7,longest:9,steps:6,word:6,work:1386,nodes:32,pairs:52,completionMax:184us [11m11s] 21721 ab:aaa=1,ababaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21721 ab:aaa=1,ababaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21722 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:105,nodes:26,pairs:4,completionMax:37us [11m11s] 21722 ab:aaa=1,abababa=a infinite;group:a-aa,b-ababa ab - - ab:aaa=1,babab=aa [11m11s] from: 21722 ab:aaa=1,abababa=a infinite;group:a-aa,b-ababa to: 2298 ab:aaa=1,ababab=1 infinite;group:a-aa,b-ababa a=a,b=b [11m11s] # 21723 solved: rounds:5,rules:8,peak:12,longest:15,steps:29,word:18,work:22854,nodes:124,pairs:33,completionMax:531us [11m11s] 21723 ab:aaa=1,abababa=b finite:147;idempotents:1,bbbbbbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,babbbbbbbbbbbb=ba,bba=abb,baabbbbbbbbbbbb=baa,aaa=1,ababa=baabbbbbbbbbbb,aabaa=babab,babaaba=abaababbbbbbb [11m11s] # 21724 solved: rounds:6,rules:4,peak:7,longest:13,steps:11,word:6,work:3138,nodes:48,pairs:31,completionMax:186us [11m11s] 21724 ab:aaa=1,abababb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [11m11s] from: 21724 ab:aaa=1,abababb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21725 solved: rounds:3,rules:4,peak:4,longest:8,steps:2,word:0,work:178,nodes:26,pairs:5,completionMax:27us [11m11s] 21725 ab:aaa=1,abababb=b infinite ab - - ab:aaa=1,bababb=aab,bababab=b,bababaab=ab [11m11s] # 21726 solved: rounds:3,rules:4,peak:6,longest:8,steps:4,word:0,work:1006,nodes:34,pairs:22,completionMax:104us [11m11s] 21726 ab:aaa=1,ababbab=a infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [11m11s] from: 21726 ab:aaa=1,ababbab=a infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [11m11s] # 21727 solved: rounds:5,rules:4,peak:17,longest:18,steps:23,word:12,work:13900,nodes:104,pairs:129,completionMax:747us [11m11s] 21727 ab:aaa=1,ababbab=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbbbbb,baab=aabbbbb,aaa=1 [11m11s] from: 21727 ab:aaa=1,ababbab=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7815 ab:aaa=1,babbb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21728 solved: rounds:5,rules:4,peak:6,longest:13,steps:7,word:6,work:1413,nodes:48,pairs:22,completionMax:139us [11m11s] 21728 ab:aaa=1,ababbba=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [11m11s] from: 21728 ab:aaa=1,ababbba=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21729 solved: rounds:17,rules:67,peak:77,longest:82,steps:148,word:108,work:29947906,nodes:1412,pairs:11998,completionMax:1355253us [11m11s] 21729 ab:aaa=1,ababbba=b finite:10587;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbbbbbbbbba=abbbbbbbbbbbb,baa=ababbb,babbba=aab,bbaba=abbbbbbbbbabbbbbbbbbbbbbbbbbb,bbabbbbba=abbbbbbbbbbbabbbbbbbb,bbabbbbbbba=abbbbbbbabbbbbbbbbbbbbb,bbabbbbbbbbbbba=abbbabbbbbbbbbb,bbbbabbbbbbbbba=abbbbbabbbbbbbb,aaa=1,bababa=aabbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bababbbba=abbbbbbbbbabbbbbbabbbbbbbbb,bababbbbbba=abbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbb,bababbbbbbba=aabbbbbbbbabbbbbbbbbbbbbbbbbbbbbb,bababbbbbbbba=abbbbbbbabbabbbbbbbbbbbbbbbbbbb,bababbbbbbbbba=aabbabbbbbbbbbbbbbbbbbb,bababbbbbbbbbbba=aabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbabba=abbbbbbabbabbbbbbbbb,babbabbbba=abbbbbbbbbbabbbbbbbbab,babbabbbbbba=abbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbabba=abbabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbabbbba=abbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbb,babbbbabbbbbba=abbbbbbabbbbabbbbbbbbbbbbb,babbbbabbbbbbbba=abbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbb,babbbbbabba=abbbbbabbbbbbabbb,babbbbbabbbba=abbbabbabbbbbbbbbbbbbbbbbbbbbbb,babbbbbabbbbbba=abbbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbabbbbbbbbbba=abbbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbabbbba=abbbbbbbbabbbbbbbbabbbbbbb,babbbbbbabbbbbbbba=abbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbabbbbbbbbbba=abbbbabbabbbbbbbbbbb,babbbbbbbabba=abbbbbbbbbabbabbbbb,babbbbbbbabbbbbba=abbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbb,babbbbbbbabbbbbbbba=abbbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbb,babbbbbbbabbbbbbbbbba=abbbabbbbabbbbbbbbbbbbbbbbb,babbbbbbbbabba=abbbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbabbbba=abbbbbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbabbbbbbbba=abbabbabbbbbbbbbbbbb,babbbbbbbbabbbbbbbbbba=abbbbbbbbabbbbabbbbbbb,babbbbbbbbbabba=abbbbbbbabbbbabbbbbbb,babbbbbbbbbabbbbbba=abbbbbbbbbabbbbbbbbbbabbb,babbbbbbbbbabbbbbbbba=abbbbbabbbbbbbbabbbbbbbbbbb,babbbbbbbbbbabba=abbbbabbbbabbbbbbbbbbbbbbbbb,babbbbbbbbbbabbbba=abbabbbbbbbbabbbbb,babbbbbbbbbbabbbbbba=abbbbbbbbbbabbabbbbbbbbbbbbbbbbb,babbbbbbbbbbabbbbbbbbbba=abbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbbbbabba=abbbabbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbbbbabbbba=abbbbbabbbbabbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbbbbabbbbbba=abbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbbbbbbbbbbabbbbbbbbbba=abbbbbbbbbbbabbabbbbbbbbbbbbbbb,bbabbabbbbbbbbba=abbbbbbbbbbbabbbbbbbbabbbbbbbbbbbbbbb,bbabbbbbbabba=abbabbbbabbbb,bbabbbbbbabbbbbba=abbabbbbbbbbbbabbbbbbbbbbbbbb,bbabbbbbbbbbbabbbbbbbba=abbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbb,bbbabbabbbbbbbba=abbbbbbbbabbabbb,bbbabbabbbbbbbbbba=abbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbabbbbabbbbbbbbbba=abbbbabbbbbbabbbbbbbbbbbbbbbbbbb,bbbabbbbbbbbabbbbbba=abbbbbbbbbbabbbbabbbbbbbbbbbbbbb,bbbabbbbbbbbbabbbbbbbbbba=abbbbbabbabbbbbbbbb,bababbabbbbbbbbba=abbabbabbbbbbbbabbbbbbb,bababbabbbbbbbbbba=aabbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbb,bababbbbbabbbbbbbba=abbabbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bababbbbbbbbbbabbbbbbbba=abbabbbbbbbbbabbbbbbbbbbabbbbbbbbbbbbbbbbbbbb,babbabbbbbbbbabbbbbba=aabbbabbbbbbabbbbb,babbabbbbbbbbbabbbba=abbabbbbbbbbabbbbbbabbb,babbabbbbbbbbbabbbbbbbbbba=aabbbbbbbbbbabbbbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] # 21730 solved: rounds:5,rules:2,peak:5,longest:15,steps:5,word:18,work:921,nodes:30,pairs:21,completionMax:94us [11m11s] 21730 ab:aaa=1,ababbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21730 ab:aaa=1,ababbbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21731 solved: rounds:5,rules:5,peak:9,longest:14,steps:13,word:9,work:4108,nodes:74,pairs:18,completionMax:217us [11m11s] 21731 ab:aaa=1,ababbbb=b finite:111;idempotents:1,babbba,bbbbbbbbbbbb,abbbbbbbbbbbbaa b/a - - ab:bbbbbbbbbbbbb=b,bbab=abbb,aab=babbbb,abab=bbbbbbbbbb,aaa=1 [11m11s] # 21732 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:14,pairs:1,completionMax:8us [11m11s] 21732 ab:aaa=1,abbaaab=a infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 21732 ab:aaa=1,abbaaab=a infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 21733 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:61,nodes:18,pairs:5,completionMax:22us [11m11s] 21733 ab:aaa=1,abbaaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21733 ab:aaa=1,abbaaab=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 21734 solved: rounds:2,rules:2,peak:5,longest:12,steps:3,word:6,work:405,nodes:40,pairs:14,completionMax:55us [11m11s] 21734 ab:aaa=1,abbaabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21734 ab:aaa=1,abbaabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21735 solved: rounds:5,rules:4,peak:20,longest:15,steps:19,word:9,work:21252,nodes:96,pairs:78,completionMax:958us [11m11s] 21735 ab:aaa=1,abbaabb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbbbbb,baab=aabbbbb,aaa=1 [11m11s] from: 21735 ab:aaa=1,abbaabb=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7815 ab:aaa=1,babbb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21736 solved: rounds:6,rules:4,peak:15,longest:17,steps:11,word:9,work:23663,nodes:120,pairs:206,completionMax:1588us [11m11s] 21736 ab:aaa=1,abbabab=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bba=abb,aa=babbb,aba=bbbbbbbbb [11m11s] from: 21736 ab:aaa=1,abbabab=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=b [11m11s] # 21737 solved: rounds:5,rules:4,peak:14,longest:12,steps:10,word:9,work:9186,nodes:80,pairs:101,completionMax:819us [11m11s] 21737 ab:aaa=1,abbabab=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa b/a - - ab:bbbbbbbbbb=b,bab=abbbbb,baab=aabbbbbbbb,aaa=1 [11m11s] from: 21737 ab:aaa=1,abbabab=b finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7819 ab:aaa=1,bbabb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=a,b=b [11m11s] # 21738 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:0,work:333,nodes:30,pairs:8,completionMax:54us [11m11s] 21738 ab:aaa=1,abbabba=a infinite;group:a-aa,b-abbab ab - - ab:aaa=1,babba=abbab,bbabb=aa,bbabaa=aababb [11m11s] from: 21738 ab:aaa=1,abbabba=a infinite;group:a-aa,b-abbab to: 2302 ab:aaa=1,abbabb=1 infinite;group:a-aa,b-abbab a=a,b=b [11m11s] # 21739 solved: rounds:8,rules:17,peak:46,longest:18,steps:70,word:15,work:254206,nodes:344,pairs:924,completionMax:12115us [11m11s] 21739 ab:aaa=1,abbabba=b infinite b/d/ca abb=c,cabcabca=d frequency:3/2,8/0 abcd:dbb=b,bd=db,ddb=d,cdb=c,bbbc=cbbb,dc=bbcddd,dbc=c,ab=cd,ad=cddd,ba=bcdd,da=bbcddddd,bcbc=ccbbbbb,bbcc=cbcdd,ca=ccdd,ac=cbcddd,ccc=bbb,aaa=1 [11m11s] # 21740 solved: rounds:6,rules:2,peak:8,longest:15,steps:6,word:9,work:1646,nodes:34,pairs:28,completionMax:136us [11m11s] 21740 ab:aaa=1,abbabbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21740 ab:aaa=1,abbabbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21741 solved: rounds:4,rules:5,peak:9,longest:9,steps:4,word:0,work:1797,nodes:46,pairs:20,completionMax:98us [11m11s] 21741 ab:aaa=1,abbabbb=b infinite ab - - ab:aaa=1,babbab=abbabb,bbabbb=aab,babbaab=abbabab,bbabaab=aababbb [11m11s] # 21742 solved: rounds:4,rules:2,peak:11,longest:12,steps:10,word:9,work:3427,nodes:50,pairs:73,completionMax:313us [11m11s] 21742 ab:aaa=1,abbbaab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21742 ab:aaa=1,abbbaab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21743 solved: rounds:2,rules:4,peak:5,longest:7,steps:2,word:0,work:294,nodes:26,pairs:9,completionMax:41us [11m11s] 21743 ab:aaa=1,abbbaab=b infinite ab - - ab:aaa=1,bbbb=b,bbbab=ab,bbbaab=aab [11m11s] from: 21743 ab:aaa=1,abbbaab=b infinite to: 7816 ab:aaa=1,babbb=ba infinite anti:a=a,b=b [11m11s] # 21744 solved: rounds:5,rules:2,peak:10,longest:15,steps:9,word:9,work:2500,nodes:36,pairs:35,completionMax:162us [11m11s] 21744 ab:aaa=1,abbbabb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21744 ab:aaa=1,abbbabb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21745 solved: rounds:3,rules:5,peak:8,longest:14,steps:8,word:6,work:2281,nodes:66,pairs:13,completionMax:135us [11m11s] 21745 ab:aaa=1,abbbabb=b finite:111;idempotents:1,babbba,bbbbbbbbbbbb,abbbbbbbbbbbbaa b/a - - ab:bbbbbbbbbbbbb=b,bbab=abbb,aab=babbbb,abab=bbbbbbbbbb,aaa=1 [11m11s] from: 21745 ab:aaa=1,abbbabb=b finite:111;idempotents:1,babbba,bbbbbbbbbbbb,abbbbbbbbbbbbaa to: 21731 ab:aaa=1,ababbbb=b finite:111;idempotents:1,babbba,bbbbbbbbbbbb,abbbbbbbbbbbbaa a=a,b=b [11m11s] # 21746 solved: rounds:6,rules:2,peak:9,longest:15,steps:8,word:9,work:2537,nodes:42,pairs:61,completionMax:194us [11m11s] 21746 ab:aaa=1,abbbbab=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21746 ab:aaa=1,abbbbab=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21747 solved: rounds:2,rules:3,peak:5,longest:13,steps:3,word:6,work:379,nodes:32,pairs:8,completionMax:50us [11m11s] 21747 ab:aaa=1,abbbbab=b finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 21747 ab:aaa=1,abbbbab=b finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb to: 7822 ab:aaa=1,bbbbb=ab finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb a=a,b=b [11m11s] # 21748 solved: rounds:4,rules:2,peak:5,longest:15,steps:5,word:9,work:257,nodes:30,pairs:13,completionMax:62us [11m11s] 21748 ab:aaa=1,abbbbba=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21748 ab:aaa=1,abbbbba=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21749 solved: rounds:8,rules:18,peak:40,longest:28,steps:214,word:58,work:696003,nodes:680,pairs:865,completionMax:15780us [11m11s] 21749 ab:aaa=1,abbbbba=b infinite d/c/a/b bb=c,accaccac=d frequency:2/0,8/0 abcd:cdd=d,dc=cd,ccd=c,dacd=da,ddda=addd,ca=ddaccc,cda=acd,daacd=daa,dada=aadddddddd,ddaa=adaccccc,aaa=1,bcd=b,bacd=ba,baacd=baa,db=bd,cb=bc,ab=baadd,bb=c [11m11s] # 21750 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:3,nodes:26,pairs:1,completionMax:13us [11m11s] 21750 ab:aaa=1,abbbbbb=a infinite;group:a-aa,b-bbbbb ab - - ab:aaa=1,bbbbbb=1 [11m11s] from: 21750 ab:aaa=1,abbbbbb=a infinite;group:a-aa,b-bbbbb to: 2315 ab:aaa=1,bbbbbb=1 infinite;group:a-aa,b-bbbbb a=a,b=b [11m11s] # 21751 solved: rounds:3,rules:3,peak:4,longest:16,steps:1,word:9,work:102,nodes:36,pairs:5,completionMax:32us [11m11s] 21751 ab:aaa=1,abbbbbb=b finite:48;idempotents:1,bbbbba,bbbbbbbbbbaa,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ab=bbbbbbbbbbb,aaa=1 [11m11s] # 21752 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:2us [11m11s] 21752 ab:aaa=1,baaaaab=a infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [11m11s] from: 21752 ab:aaa=1,baaaaab=a infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [11m11s] # 21753 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:3us [11m11s] 21753 ab:aaa=1,baaaaab=b infinite ab - - ab:aaa=1,baab=b [11m11s] from: 21753 ab:aaa=1,baaaaab=b infinite to: 751 ab:aaa=1,baab=b infinite a=a,b=b [11m11s] # 21754 solved: rounds:3,rules:3,peak:6,longest:9,steps:20,word:54,work:2823,nodes:30,pairs:27,completionMax:226us [11m11s] 21754 ab:aaa=1,baaaabb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 21754 ab:aaa=1,baaaabb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21755 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [11m11s] 21755 ab:aaa=1,baaaabb=b infinite ab - - ab:aaa=1,babb=b [11m11s] from: 21755 ab:aaa=1,baaaabb=b infinite to: 753 ab:aaa=1,babb=b infinite a=a,b=b [11m11s] # 21756 solved: rounds:4,rules:3,peak:8,longest:9,steps:8,word:6,work:1014,nodes:30,pairs:25,completionMax:158us [11m11s] 21756 ab:aaa=1,baaabab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbb,aaa=1 [11m11s] from: 21756 ab:aaa=1,baaabab=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 21757 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:4us [11m11s] 21757 ab:aaa=1,baaabab=b infinite ab - - ab:aaa=1,bbab=b [11m11s] from: 21757 ab:aaa=1,baaabab=b infinite to: 753 ab:aaa=1,babb=b infinite anti:a=a,b=b [11m11s] # 21758 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:72,nodes:24,pairs:3,completionMax:17us [11m11s] 21758 ab:aaa=1,baaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21758 ab:aaa=1,baaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21759 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:3us [11m11s] 21759 ab:aaa=1,baaabbb=b infinite ab - - ab:aaa=1,bbbb=b [11m11s] from: 21759 ab:aaa=1,baaabbb=b infinite to: 755 ab:aaa=1,bbbb=b infinite a=a,b=b [11m11s] # 21760 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:17,nodes:18,pairs:0,completionMax:3us [11m11s] 21760 ab:aaa=1,baabaab=a infinite;group:a-aa,b-aabaabaa ab - - ab:aaa=1,baabaab=a [11m11s] # 21761 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:5us [11m11s] 21761 ab:aaa=1,baabaab=b infinite ab - - ab:aaa=1,baabaab=b [11m11s] # 21762 solved: rounds:4,rules:8,peak:26,longest:12,steps:16,word:9,work:52367,nodes:106,pairs:309,completionMax:2470us [11m11s] 21762 ab:aaa=1,baababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,abba=babbbbb,baba=aabb,bbaa=abab,aaa=1,aaba=bbabbbbbbb,abaa=baabbbb [11m11s] # 21763 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:2us [11m11s] 21763 ab:aaa=1,baababb=b infinite ab - - ab:aaa=1,baababb=b [11m11s] # 21764 solved: rounds:4,rules:8,peak:24,longest:16,steps:16,word:6,work:38938,nodes:204,pairs:165,completionMax:1990us [11m11s] 21764 ab:aaa=1,baabbab=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbba=abbb,abba=bbabbbb,baba=aabb,bbaa=abab,aaa=1,aaba=baabbbb,abaa=babbbbbbbb [11m11s] # 21765 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:4us [11m11s] 21765 ab:aaa=1,baabbab=b infinite ab - - ab:aaa=1,baabbab=b [11m11s] # 21766 solved: rounds:4,rules:5,peak:8,longest:30,steps:17,word:27,work:6407,nodes:66,pairs:33,completionMax:219us [11m11s] 21766 ab:aaa=1,baabbbb=a finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-bbabbbbbbbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=bbabbbbbbbbbbbbbbbbbbbbbbb,aba=babbbbbbbbbb,abba=bbbbbbb [11m11s] # 21767 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:3us [11m11s] 21767 ab:aaa=1,baabbbb=b infinite ab - - ab:aaa=1,baabbbb=b [11m11s] # 21768 solved: rounds:4,rules:4,peak:21,longest:11,steps:6,word:3,work:12136,nodes:138,pairs:207,completionMax:1601us [11m11s] 21768 ab:aaa=1,babaabb=a infinite;group:a-aa,b-aaccc,c-ccc ac/b baa=c frequency:3/0 abc:aaa=1,cca=acc,cccc=1,b=ca [11m11s] from: 21768 ab:aaa=1,babaabb=a infinite;group:a-aa,b-aaccc,c-ccc to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=ba,c=b [11m11s] # 21769 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:3us [11m11s] 21769 ab:aaa=1,babaabb=b infinite ab - - ab:aaa=1,babaabb=b [11m11s] # 21770 solved: rounds:4,rules:2,peak:7,longest:12,steps:7,word:6,work:794,nodes:30,pairs:29,completionMax:69us [11m11s] 21770 ab:aaa=1,bababab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21770 ab:aaa=1,bababab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21771 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:4us [11m11s] 21771 ab:aaa=1,bababab=b infinite ab - - ab:aaa=1,bababab=b [11m11s] # 21772 solved: rounds:11,rules:51,peak:59,longest:30,steps:27,word:45,work:2173045,nodes:566,pairs:5346,completionMax:157774us [11m11s] 21772 ab:aaa=1,bababbb=a finite:960;group:a-aa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,aba=bbbbbbbbbbbbbbabbbbbbbbbbbb,abbbbbba=bbbbbbbbbbbbabbbb,abbbbbbbbbbba=bbbbbbbbabbbbbbbbbbbbb,baa=abbbbbbbbbbbbbabbb,babbbbbbbbba=abbbbbbbbabb,babbbbbbbbbbbbba=abbbabbbbbbbbbbb,bbabbbba=abbbbbbbbbbbbabbbbbbbbb,bbabbbbbbba=abbbbabbbbb,bbbabbba=abbbbbbbbbbabbbbbbbbbbb,bbbabbbbba=abbbbbabbb,bbbabbbbbbbbbbbbbba=aabb,bbbbbabbbbbbbba=abbbbbbbabbbbbb,bbbbbabbbbbbbbbbbba=abbbbbbbbbabbbbbbbb,bbbbbbbabbbbbbbbbba=abbbbbbbbbbbbbbabbb,aaa=1,aabba=bbbbbbbbbbbbbabbabbbbbbbbbbbb,aabbba=bbabbbabbbbbbbb,aabbbba=bbbbbbbabbabbbbb,aabbbbba=bbabbbbbbbbbbbbab,aabbbbbbba=babbbbbbbbbbbbbbabb,aabbbbbbbba=bbbbbbbbbbbabb,aabbbbbbbbba=bbbbbbabbabbbbbbbbbbb,aabbbbbbbbbba=bbbbbbbbbabbabbbbbbbbb,aabbbbbbbbbbbba=bbbbbbabbbbbbbbbbb,aabbbbbbbbbbbbba=babbbbabbb,aabbbbbbbbbbbbbba=babbb,abbabba=bbbabbbbbbbbabbb,abbabbba=bbbabbbbbbb,abbabbbbba=bbbbbabbbbbbbbbbabb,abbabbbbbbbba=bbbbbbbbbbbabbabbbbbbb,abbabbbbbbbbbba=bbbbbbbbbbbbabbabbbbbbbb,abbabbbbbbbbbbbba=bbbbbabbbbbbbbbbbbbb,abbabbbbbbbbbbbbbba=bbbbbbbbbbabbabbbbbbbbbbbbbb,abbbabba=babbbbbbbbbbabbbb,abbbabbbbbbbba=bbbbbbbbabbabbbbbbbbbbb,abbbabbbbbbbbbba=bbabbbbbbbbabbbbbbbbbbbbb,abbbabbbbbbbbbbbba=babbbbbbbbbbbbabbbbbbbbbbbb,abbbbabba=babbbbbabbbbbbbbbb,abbbbabbbbbbbba=bbbabbabb,abbbbabbbbbbbbbba=babbabbbbbb,abbbbabbbbbbbbbbbba=bbbabbbbbbbbbbbbabbbbbbbbbbb,abbbbbabba=bbabbbbbbbbbbabbbbb,abbbbbabbbbbbbbbba=babbbbbbbbab,abbbbbbbabba=bbbbabbbbbbbbbb,abbbbbbbbabba=bbabbab,abbbbbbbbbabba=bbbbbbbbbbabbbbbb,abbbbbbbbbbabba=babbbabbb,abbbbbbbbbbbbabba=bbbbbabbabb,abbbbbbbbbbbbbabba=bbabbb,abbbbbbbbbbbbbbabba=bbbbabbabbbbb [11m11s] # 21773 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:4us [11m11s] 21773 ab:aaa=1,bababbb=b infinite ab - - ab:aaa=1,bababbb=b [11m11s] # 21774 solved: rounds:4,rules:8,peak:11,longest:15,steps:12,word:9,work:8438,nodes:62,pairs:54,completionMax:425us [11m11s] 21774 ab:aaa=1,babbabb=a finite:105;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbba=abbb,abba=bbabbbbbbbbbb,baba=aabb,bbaa=abab,aaa=1,aaba=baabbbbbbbbbb,abaa=babbbbb [11m11s] # 21775 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:3us [11m11s] 21775 ab:aaa=1,babbabb=b infinite ab - - ab:aaa=1,babbabb=b [11m11s] # 21776 solved: rounds:5,rules:5,peak:40,longest:35,steps:36,word:42,work:331947,nodes:372,pairs:646,completionMax:14098us [11m11s] 21776 ab:aaa=1,babbbab=a finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-bbabbbbbbbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=bbabbbbbbbbbbbbbbbbbbbbbbb,aba=babbbbbbbbbb,abba=bbbbbbb [11m11s] from: 21776 ab:aaa=1,babbbab=a finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-bbabbbbbbbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 21766 ab:aaa=1,baabbbb=a finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-bbabbbbbbbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 21777 solved: rounds:4,rules:9,peak:15,longest:8,steps:5,word:0,work:2302,nodes:72,pairs:39,completionMax:170us [11m11s] 21777 ab:aaa=1,babbbab=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aaa=1,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [11m11s] # 21778 solved: rounds:6,rules:3,peak:27,longest:127,steps:44,word:120,work:509201,nodes:628,pairs:530,completionMax:61605us [11m11s] 21778 ab:aaa=1,babbbbb=a finite:378;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbbbbbbbbbbbbbbbbbba,aaa=1 [11m11s] # 21779 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:6us [11m11s] 21779 ab:aaa=1,babbbbb=b infinite ab - - ab:aaa=1,babbbbb=b [11m11s] # 21780 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:73,nodes:24,pairs:3,completionMax:17us [11m11s] 21780 ab:aaa=1,bbaaabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 21780 ab:aaa=1,bbaaabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 21781 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:3us [11m11s] 21781 ab:aaa=1,bbaaabb=b infinite ab - - ab:aaa=1,bbbb=b [11m11s] from: 21781 ab:aaa=1,bbaaabb=b infinite to: 755 ab:aaa=1,bbbb=b infinite a=a,b=b [11m11s] # 21782 solved: rounds:3,rules:2,peak:7,longest:15,steps:14,word:18,work:2252,nodes:54,pairs:16,completionMax:118us [11m11s] 21782 ab:aaa=1,bbaabbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbbbbbbb [11m11s] from: 21782 ab:aaa=1,bbaabbb=a finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b10;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaa,b=a [11m11s] # 21783 solved: rounds:2,rules:3,peak:5,longest:10,steps:5,word:0,work:1256,nodes:34,pairs:7,completionMax:52us [11m11s] 21783 ab:aaa=1,bbaabbb=b infinite ab - - ab:aaa=1,bbaab=baabb,baabbbb=b [11m11s] # 21784 solved: rounds:4,rules:7,peak:30,longest:21,steps:24,word:18,work:143650,nodes:228,pairs:410,completionMax:5181us [11m11s] 21784 ab:aaa=1,bbababb=a finite:120;center:1,bbb,abbabb,bbbbbb,abbabbbbb,bbbbbbbbb,abbabbbbbbbb,bbbbbbbbbbbb,abbabbbbbbbbbbb,abbabbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,bbba=abbb,aba=babbbbbbbbbb,babba=abbab,aaa=1,aabba=baabbbbbbbbbbb,abbaa=bbaabbbbbbbbbb [11m11s] # 21785 solved: rounds:4,rules:9,peak:11,longest:8,steps:7,word:0,work:1579,nodes:54,pairs:27,completionMax:92us [11m11s] 21785 ab:aaa=1,bbababb=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aaa=1,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [11m11s] from: 21785 ab:aaa=1,bbababb=b infinite to: 21777 ab:aaa=1,babbbab=b infinite a=a,b=b,c=c [11m11s] # 21786 solved: rounds:4,rules:3,peak:15,longest:21,steps:19,word:24,work:26669,nodes:106,pairs:71,completionMax:1127us [11m11s] 21786 ab:aaa=1,bbabbbb=a infinite;group:a-aa,b-bbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbb=1,abb=bbbbbbbba,aaa=1 [11m11s] # 21787 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:723,nodes:26,pairs:7,completionMax:30us [11m11s] 21787 ab:aaa=1,bbabbbb=b infinite ab - - ab:aaa=1,bbab=babb,babbbbb=b [11m11s] # 21788 solved: rounds:2,rules:3,peak:7,longest:7,steps:3,word:0,work:716,nodes:22,pairs:8,completionMax:43us [11m11s] 21788 ab:aaa=1,bbbabbb=a infinite;group:a-aa,b-bbbbb ab - - ab:aaa=1,bbba=abbb,bbbbbb=1 [11m11s] # 21789 solved: rounds:2,rules:3,peak:6,longest:8,steps:6,word:0,work:2278,nodes:36,pairs:16,completionMax:109us [11m11s] 21789 ab:aaa=1,bbbabbb=b infinite ab - - ab:aaa=1,bbab=babb,babbbbb=b [11m11s] from: 21789 ab:aaa=1,bbbabbb=b infinite to: 21787 ab:aaa=1,bbabbbb=b infinite a=a,b=b [11m11s] # 21790 solved: rounds:1,rules:2,peak:2,longest:21,steps:2,word:12,work:110,nodes:42,pairs:3,completionMax:32us [11m11s] 21790 ab:aaa=1,bbbbbbb=a finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b7;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,a=bbbbbbb [11m11s] from: 21790 ab:aaa=1,bbbbbbb=a finite:21;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;commutative:ab:b21=1,a=b7;saturation:a:a21=1;cancellative;smith:21;group:a-bbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbb to: 11127 ab:aaaaa=b,abbbb=1 finite:21;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;commutative:ab:b21=1,a=b17;saturation:a:a21=1;cancellative;smith:21;group:a-aaaaaaaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaaaa a=bbbbbbb,b=b [11m11s] # 21791 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:18,pairs:0,completionMax:6us [11m11s] 21791 ab:aaa=1,bbbbbbb=b infinite ab - - ab:aaa=1,bbbbbbb=b [11m11s] # 21792 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:3,work:64,nodes:14,pairs:4,completionMax:33us [11m11s] 21792 ab:aab=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21792 ab:aab=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21793 solved: rounds:1,rules:2,peak:2,longest:9,steps:0,word:0,work:0,nodes:18,pairs:1,completionMax:7us [11m11s] 21793 ab:aab=1,aaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21793 ab:aab=1,aaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21794 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:44,nodes:8,pairs:4,completionMax:13us [11m11s] 21794 ab:aab=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21794 ab:aab=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21795 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:7,nodes:12,pairs:1,completionMax:6us [11m11s] 21795 ab:aab=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21795 ab:aab=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21796 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:43,nodes:8,pairs:4,completionMax:13us [11m11s] 21796 ab:aab=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21796 ab:aab=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21797 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:9us [11m11s] 21797 ab:aab=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21797 ab:aab=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21798 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:1us [11m11s] 21798 ab:aab=1,aaaaabb=a infinite ab - - ab:aab=1 [11m11s] from: 21798 ab:aab=1,aaaaabb=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21799 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:6us [11m11s] 21799 ab:aab=1,aaaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21799 ab:aab=1,aaaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21800 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:42,nodes:8,pairs:4,completionMax:18us [11m11s] 21800 ab:aab=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21800 ab:aab=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21801 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:5,nodes:12,pairs:1,completionMax:9us [11m11s] 21801 ab:aab=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21801 ab:aab=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21802 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:0us [11m11s] 21802 ab:aab=1,aaaabab=a infinite ab - - ab:aab=1 [11m11s] from: 21802 ab:aab=1,aaaabab=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21803 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m11s] 21803 ab:aab=1,aaaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21803 ab:aab=1,aaaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21804 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [11m11s] 21804 ab:aab=1,aaaabba=a infinite ab - - ab:aab=1 [11m11s] from: 21804 ab:aab=1,aaaabba=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21805 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m11s] 21805 ab:aab=1,aaaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21805 ab:aab=1,aaaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21806 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m11s] 21806 ab:aab=1,aaaabbb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21806 ab:aab=1,aaaabbb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21807 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:0us [11m11s] 21807 ab:aab=1,aaaabbb=b infinite ab - - ab:aab=1 [11m11s] from: 21807 ab:aab=1,aaaabbb=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21808 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:8,pairs:4,completionMax:24us [11m11s] 21808 ab:aab=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21808 ab:aab=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21809 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:8us [11m11s] 21809 ab:aab=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21809 ab:aab=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21810 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:0us [11m11s] 21810 ab:aab=1,aaabaab=a infinite ab - - ab:aab=1 [11m11s] from: 21810 ab:aab=1,aaabaab=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21811 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:5us [11m11s] 21811 ab:aab=1,aaabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21811 ab:aab=1,aaabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21812 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:0us [11m11s] 21812 ab:aab=1,aaababa=a infinite ab - - ab:aab=1 [11m11s] from: 21812 ab:aab=1,aaababa=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21813 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:3us [11m11s] 21813 ab:aab=1,aaababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21813 ab:aab=1,aaababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21814 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:5us [11m11s] 21814 ab:aab=1,aaababb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21814 ab:aab=1,aaababb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21815 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:0us [11m11s] 21815 ab:aab=1,aaababb=b infinite ab - - ab:aab=1 [11m11s] from: 21815 ab:aab=1,aaababb=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21816 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:10,pairs:3,completionMax:14us [11m11s] 21816 ab:aab=1,aaabbaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21816 ab:aab=1,aaabbaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21817 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:221,nodes:16,pairs:14,completionMax:34us [11m11s] 21817 ab:aab=1,aaabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21817 ab:aab=1,aaabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21818 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:10,pairs:6,completionMax:16us [11m11s] 21818 ab:aab=1,aaabbab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21818 ab:aab=1,aaabbab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21819 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:41,nodes:14,pairs:1,completionMax:8us [11m11s] 21819 ab:aab=1,aaabbab=b infinite ab - - ab:aab=1,bab=abb [11m11s] from: 21819 ab:aab=1,aaabbab=b infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 21820 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:12,pairs:11,completionMax:27us [11m11s] 21820 ab:aab=1,aaabbba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21820 ab:aab=1,aaabbba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21821 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:46,nodes:12,pairs:3,completionMax:7us [11m11s] 21821 ab:aab=1,aaabbba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21821 ab:aab=1,aaabbba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21822 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:48,nodes:14,pairs:5,completionMax:16us [11m11s] 21822 ab:aab=1,aaabbbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21822 ab:aab=1,aaabbbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21823 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:5,completionMax:11us [11m11s] 21823 ab:aab=1,aaabbbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21823 ab:aab=1,aaabbbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21824 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:40,nodes:8,pairs:4,completionMax:15us [11m11s] 21824 ab:aab=1,aabaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21824 ab:aab=1,aabaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21825 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:3,nodes:12,pairs:1,completionMax:6us [11m11s] 21825 ab:aab=1,aabaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21825 ab:aab=1,aabaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21826 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:0us [11m11s] 21826 ab:aab=1,aabaaab=a infinite ab - - ab:aab=1 [11m11s] from: 21826 ab:aab=1,aabaaab=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21827 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [11m11s] 21827 ab:aab=1,aabaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21827 ab:aab=1,aabaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21828 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:1us [11m11s] 21828 ab:aab=1,aabaaba=a infinite ab - - ab:aab=1 [11m11s] from: 21828 ab:aab=1,aabaaba=a infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21829 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:4us [11m11s] 21829 ab:aab=1,aabaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21829 ab:aab=1,aabaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21830 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:2us [11m11s] 21830 ab:aab=1,aabaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21830 ab:aab=1,aabaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21831 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:6,nodes:6,pairs:0,completionMax:0us [11m11s] 21831 ab:aab=1,aabaabb=b infinite ab - - ab:aab=1 [11m11s] from: 21831 ab:aab=1,aabaabb=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21832 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:10,pairs:3,completionMax:13us [11m11s] 21832 ab:aab=1,aababaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21832 ab:aab=1,aababaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21833 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:220,nodes:16,pairs:14,completionMax:31us [11m11s] 21833 ab:aab=1,aababaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21833 ab:aab=1,aababaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21834 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:41,nodes:10,pairs:6,completionMax:10us [11m11s] 21834 ab:aab=1,aababab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21834 ab:aab=1,aababab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21835 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:6us [11m11s] 21835 ab:aab=1,aababab=b infinite ab - - ab:aab=1,bab=abb [11m11s] from: 21835 ab:aab=1,aababab=b infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 21836 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:100,nodes:12,pairs:11,completionMax:25us [11m11s] 21836 ab:aab=1,aababba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21836 ab:aab=1,aababba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21837 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:45,nodes:12,pairs:3,completionMax:7us [11m11s] 21837 ab:aab=1,aababba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21837 ab:aab=1,aababba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21838 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:47,nodes:14,pairs:5,completionMax:14us [11m11s] 21838 ab:aab=1,aababbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21838 ab:aab=1,aababbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21839 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:12,pairs:5,completionMax:12us [11m11s] 21839 ab:aab=1,aababbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21839 ab:aab=1,aababbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21840 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:33,nodes:12,pairs:2,completionMax:6us [11m11s] 21840 ab:aab=1,aabbaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21840 ab:aab=1,aabbaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21841 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:99,nodes:12,pairs:7,completionMax:18us [11m11s] 21841 ab:aab=1,aabbaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21841 ab:aab=1,aabbaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21842 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:2us [11m11s] 21842 ab:aab=1,aabbaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21842 ab:aab=1,aabbaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21843 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:0us [11m11s] 21843 ab:aab=1,aabbaab=b infinite ab - - ab:aab=1 [11m11s] from: 21843 ab:aab=1,aabbaab=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21844 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:185,nodes:14,pairs:20,completionMax:36us [11m11s] 21844 ab:aab=1,aabbaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21844 ab:aab=1,aabbaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21845 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:16,pairs:5,completionMax:13us [11m11s] 21845 ab:aab=1,aabbaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21845 ab:aab=1,aabbaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21846 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:236,nodes:22,pairs:9,completionMax:46us [11m11s] 21846 ab:aab=1,aabbabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21846 ab:aab=1,aabbabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21847 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:14,pairs:4,completionMax:12us [11m11s] 21847 ab:aab=1,aabbabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21847 ab:aab=1,aabbabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21848 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:154,nodes:16,pairs:19,completionMax:36us [11m11s] 21848 ab:aab=1,aabbbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21848 ab:aab=1,aabbbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21849 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:82,nodes:14,pairs:7,completionMax:17us [11m11s] 21849 ab:aab=1,aabbbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21849 ab:aab=1,aabbbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21850 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:216,nodes:20,pairs:23,completionMax:44us [11m11s] 21850 ab:aab=1,aabbbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21850 ab:aab=1,aabbbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21851 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:83,nodes:14,pairs:9,completionMax:18us [11m11s] 21851 ab:aab=1,aabbbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21851 ab:aab=1,aabbbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21852 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:216,nodes:18,pairs:15,completionMax:46us [11m11s] 21852 ab:aab=1,aabbbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21852 ab:aab=1,aabbbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21853 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:246,nodes:12,pairs:27,completionMax:38us [11m11s] 21853 ab:aab=1,aabbbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21853 ab:aab=1,aabbbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21854 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:266,nodes:18,pairs:15,completionMax:51us [11m11s] 21854 ab:aab=1,aabbbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21854 ab:aab=1,aabbbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21855 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:69,nodes:14,pairs:6,completionMax:29us [11m11s] 21855 ab:aab=1,aabbbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21855 ab:aab=1,aabbbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21856 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:295,nodes:20,pairs:20,completionMax:43us [11m11s] 21856 ab:aab=1,abaaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21856 ab:aab=1,abaaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21857 solved: rounds:2,rules:2,peak:6,longest:13,steps:2,word:6,work:1085,nodes:46,pairs:17,completionMax:72us [11m11s] 21857 ab:aab=1,abaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21857 ab:aab=1,abaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21858 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:50,nodes:10,pairs:3,completionMax:16us [11m11s] 21858 ab:aab=1,abaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21858 ab:aab=1,abaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21859 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:224,nodes:16,pairs:14,completionMax:43us [11m11s] 21859 ab:aab=1,abaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21859 ab:aab=1,abaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21860 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:49,nodes:10,pairs:3,completionMax:15us [11m11s] 21860 ab:aab=1,abaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21860 ab:aab=1,abaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21861 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:223,nodes:16,pairs:14,completionMax:35us [11m11s] 21861 ab:aab=1,abaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21861 ab:aab=1,abaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21862 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:44,nodes:10,pairs:6,completionMax:17us [11m11s] 21862 ab:aab=1,abaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21862 ab:aab=1,abaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21863 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:14,pairs:1,completionMax:8us [11m11s] 21863 ab:aab=1,abaaabb=b infinite ab - - ab:aab=1,bab=abb [11m11s] from: 21863 ab:aab=1,abaaabb=b infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 21864 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:48,nodes:10,pairs:3,completionMax:11us [11m11s] 21864 ab:aab=1,abaabaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21864 ab:aab=1,abaabaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21865 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:222,nodes:16,pairs:14,completionMax:47us [11m11s] 21865 ab:aab=1,abaabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21865 ab:aab=1,abaabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21866 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:43,nodes:10,pairs:6,completionMax:12us [11m11s] 21866 ab:aab=1,abaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21866 ab:aab=1,abaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21867 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:14,pairs:1,completionMax:6us [11m11s] 21867 ab:aab=1,abaabab=b infinite ab - - ab:aab=1,bab=abb [11m11s] from: 21867 ab:aab=1,abaabab=b infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 21868 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:102,nodes:12,pairs:11,completionMax:32us [11m11s] 21868 ab:aab=1,abaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21868 ab:aab=1,abaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21869 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:47,nodes:12,pairs:3,completionMax:8us [11m11s] 21869 ab:aab=1,abaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21869 ab:aab=1,abaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21870 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:49,nodes:14,pairs:5,completionMax:18us [11m11s] 21870 ab:aab=1,abaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21870 ab:aab=1,abaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21871 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:49,nodes:12,pairs:5,completionMax:16us [11m11s] 21871 ab:aab=1,abaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21871 ab:aab=1,abaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21872 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:283,nodes:18,pairs:16,completionMax:33us [11m11s] 21872 ab:aab=1,ababaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21872 ab:aab=1,ababaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21873 solved: rounds:2,rules:2,peak:9,longest:7,steps:6,word:0,work:972,nodes:26,pairs:28,completionMax:93us [11m11s] 21873 ab:aab=1,ababaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21873 ab:aab=1,ababaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21874 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:45,nodes:10,pairs:6,completionMax:15us [11m11s] 21874 ab:aab=1,ababaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21874 ab:aab=1,ababaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21875 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:44,nodes:14,pairs:1,completionMax:7us [11m11s] 21875 ab:aab=1,ababaab=b infinite ab - - ab:aab=1,bab=abb [11m11s] from: 21875 ab:aab=1,ababaab=b infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 21876 solved: rounds:4,rules:2,peak:5,longest:7,steps:3,word:0,work:265,nodes:16,pairs:14,completionMax:50us [11m11s] 21876 ab:aab=1,abababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21876 ab:aab=1,abababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21877 solved: rounds:2,rules:2,peak:5,longest:7,steps:5,word:0,work:381,nodes:22,pairs:8,completionMax:40us [11m11s] 21877 ab:aab=1,abababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21877 ab:aab=1,abababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21878 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:99,nodes:16,pairs:5,completionMax:24us [11m11s] 21878 ab:aab=1,abababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21878 ab:aab=1,abababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21879 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:0,work:53,nodes:16,pairs:10,completionMax:28us [11m11s] 21879 ab:aab=1,abababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21879 ab:aab=1,abababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21880 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:374,nodes:20,pairs:24,completionMax:78us [11m11s] 21880 ab:aab=1,ababbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21880 ab:aab=1,ababbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21881 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:424,nodes:24,pairs:15,completionMax:37us [11m11s] 21881 ab:aab=1,ababbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21881 ab:aab=1,ababbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21882 solved: rounds:3,rules:2,peak:10,longest:7,steps:17,word:6,work:2233,nodes:28,pairs:78,completionMax:285us [11m11s] 21882 ab:aab=1,ababbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21882 ab:aab=1,ababbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21883 solved: rounds:3,rules:2,peak:5,longest:7,steps:4,word:0,work:276,nodes:22,pairs:13,completionMax:48us [11m11s] 21883 ab:aab=1,ababbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21883 ab:aab=1,ababbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21884 solved: rounds:4,rules:2,peak:7,longest:7,steps:2,word:3,work:431,nodes:22,pairs:25,completionMax:73us [11m11s] 21884 ab:aab=1,ababbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21884 ab:aab=1,ababbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21885 solved: rounds:2,rules:2,peak:9,longest:7,steps:5,word:0,work:955,nodes:26,pairs:20,completionMax:84us [11m11s] 21885 ab:aab=1,ababbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21885 ab:aab=1,ababbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21886 solved: rounds:3,rules:2,peak:6,longest:10,steps:3,word:6,work:338,nodes:28,pairs:9,completionMax:61us [11m11s] 21886 ab:aab=1,ababbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21886 ab:aab=1,ababbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21887 solved: rounds:4,rules:2,peak:6,longest:7,steps:2,word:3,work:172,nodes:20,pairs:21,completionMax:64us [11m11s] 21887 ab:aab=1,ababbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21887 ab:aab=1,ababbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21888 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:238,nodes:24,pairs:13,completionMax:34us [11m11s] 21888 ab:aab=1,abbaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21888 ab:aab=1,abbaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21889 solved: rounds:2,rules:2,peak:9,longest:7,steps:6,word:0,work:952,nodes:28,pairs:31,completionMax:82us [11m11s] 21889 ab:aab=1,abbaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21889 ab:aab=1,abbaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21890 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:104,nodes:12,pairs:11,completionMax:40us [11m11s] 21890 ab:aab=1,abbaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21890 ab:aab=1,abbaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21891 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:49,nodes:12,pairs:3,completionMax:11us [11m11s] 21891 ab:aab=1,abbaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21891 ab:aab=1,abbaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21892 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:103,nodes:12,pairs:11,completionMax:23us [11m11s] 21892 ab:aab=1,abbaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21892 ab:aab=1,abbaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21893 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:48,nodes:12,pairs:3,completionMax:10us [11m11s] 21893 ab:aab=1,abbaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21893 ab:aab=1,abbaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21894 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:50,nodes:14,pairs:5,completionMax:19us [11m11s] 21894 ab:aab=1,abbaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21894 ab:aab=1,abbaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21895 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:50,nodes:12,pairs:5,completionMax:23us [11m11s] 21895 ab:aab=1,abbaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21895 ab:aab=1,abbaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21896 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:267,nodes:24,pairs:18,completionMax:40us [11m11s] 21896 ab:aab=1,abbabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21896 ab:aab=1,abbabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21897 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:419,nodes:26,pairs:21,completionMax:38us [11m11s] 21897 ab:aab=1,abbabaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21897 ab:aab=1,abbabaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21898 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:3,work:735,nodes:32,pairs:16,completionMax:98us [11m11s] 21898 ab:aab=1,abbabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21898 ab:aab=1,abbabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21899 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:0,work:375,nodes:24,pairs:21,completionMax:47us [11m11s] 21899 ab:aab=1,abbabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21899 ab:aab=1,abbabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21900 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:642,nodes:26,pairs:24,completionMax:100us [11m11s] 21900 ab:aab=1,abbabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21900 ab:aab=1,abbabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21901 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:0,work:1213,nodes:30,pairs:45,completionMax:104us [11m11s] 21901 ab:aab=1,abbabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21901 ab:aab=1,abbabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21902 solved: rounds:4,rules:2,peak:9,longest:9,steps:4,word:6,work:593,nodes:28,pairs:33,completionMax:131us [11m11s] 21902 ab:aab=1,abbabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21902 ab:aab=1,abbabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21903 solved: rounds:5,rules:2,peak:7,longest:7,steps:5,word:3,work:478,nodes:24,pairs:24,completionMax:76us [11m11s] 21903 ab:aab=1,abbabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21903 ab:aab=1,abbabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21904 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:336,nodes:24,pairs:24,completionMax:70us [11m11s] 21904 ab:aab=1,abbbaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21904 ab:aab=1,abbbaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21905 solved: rounds:2,rules:2,peak:6,longest:7,steps:8,word:0,work:760,nodes:28,pairs:18,completionMax:54us [11m11s] 21905 ab:aab=1,abbbaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21905 ab:aab=1,abbbaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21906 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:51,nodes:14,pairs:5,completionMax:19us [11m11s] 21906 ab:aab=1,abbbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21906 ab:aab=1,abbbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21907 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:51,nodes:12,pairs:5,completionMax:16us [11m11s] 21907 ab:aab=1,abbbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21907 ab:aab=1,abbbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21908 solved: rounds:3,rules:2,peak:8,longest:8,steps:3,word:3,work:766,nodes:32,pairs:39,completionMax:106us [11m11s] 21908 ab:aab=1,abbbaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21908 ab:aab=1,abbbaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21909 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:0,work:706,nodes:24,pairs:20,completionMax:74us [11m11s] 21909 ab:aab=1,abbbaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21909 ab:aab=1,abbbaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21910 solved: rounds:5,rules:2,peak:9,longest:9,steps:4,word:6,work:944,nodes:28,pairs:45,completionMax:122us [11m11s] 21910 ab:aab=1,abbbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21910 ab:aab=1,abbbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21911 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:737,nodes:26,pairs:48,completionMax:106us [11m11s] 21911 ab:aab=1,abbbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21911 ab:aab=1,abbbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21912 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:405,nodes:24,pairs:25,completionMax:65us [11m11s] 21912 ab:aab=1,abbbbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21912 ab:aab=1,abbbbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21913 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:620,nodes:24,pairs:29,completionMax:80us [11m11s] 21913 ab:aab=1,abbbbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21913 ab:aab=1,abbbbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21914 solved: rounds:3,rules:2,peak:8,longest:10,steps:4,word:6,work:1203,nodes:34,pairs:47,completionMax:187us [11m11s] 21914 ab:aab=1,abbbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21914 ab:aab=1,abbbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21915 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:736,nodes:28,pairs:32,completionMax:114us [11m11s] 21915 ab:aab=1,abbbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21915 ab:aab=1,abbbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21916 solved: rounds:3,rules:2,peak:8,longest:10,steps:4,word:6,work:986,nodes:30,pairs:42,completionMax:144us [11m11s] 21916 ab:aab=1,abbbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21916 ab:aab=1,abbbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21917 solved: rounds:5,rules:2,peak:10,longest:7,steps:4,word:3,work:1189,nodes:28,pairs:53,completionMax:164us [11m11s] 21917 ab:aab=1,abbbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21917 ab:aab=1,abbbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21918 solved: rounds:6,rules:2,peak:5,longest:12,steps:6,word:9,work:537,nodes:24,pairs:20,completionMax:61us [11m11s] 21918 ab:aab=1,abbbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 21918 ab:aab=1,abbbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 21919 solved: rounds:3,rules:2,peak:7,longest:9,steps:6,word:6,work:1234,nodes:26,pairs:46,completionMax:201us [11m11s] 21919 ab:aab=1,abbbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21919 ab:aab=1,abbbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21920 solved: rounds:2,rules:2,peak:8,longest:7,steps:3,word:0,work:393,nodes:26,pairs:23,completionMax:57us [11m11s] 21920 ab:aab=1,baaaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21920 ab:aab=1,baaaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21921 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:145,nodes:24,pairs:7,completionMax:30us [11m11s] 21921 ab:aab=1,baaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21921 ab:aab=1,baaaaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21922 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:37,nodes:12,pairs:2,completionMax:6us [11m11s] 21922 ab:aab=1,baaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21922 ab:aab=1,baaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21923 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:103,nodes:12,pairs:7,completionMax:20us [11m11s] 21923 ab:aab=1,baaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21923 ab:aab=1,baaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21924 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:36,nodes:12,pairs:2,completionMax:5us [11m11s] 21924 ab:aab=1,baaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21924 ab:aab=1,baaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21925 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:102,nodes:12,pairs:7,completionMax:16us [11m11s] 21925 ab:aab=1,baaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21925 ab:aab=1,baaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21926 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m11s] 21926 ab:aab=1,baaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21926 ab:aab=1,baaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21927 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:1us [11m11s] 21927 ab:aab=1,baaaabb=b infinite ab - - ab:aab=1 [11m11s] from: 21927 ab:aab=1,baaaabb=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21928 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:35,nodes:12,pairs:2,completionMax:9us [11m11s] 21928 ab:aab=1,baaabaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21928 ab:aab=1,baaabaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21929 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:12,pairs:7,completionMax:23us [11m11s] 21929 ab:aab=1,baaabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21929 ab:aab=1,baaabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21930 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m11s] 21930 ab:aab=1,baaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21930 ab:aab=1,baaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21931 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [11m11s] 21931 ab:aab=1,baaabab=b infinite ab - - ab:aab=1 [11m11s] from: 21931 ab:aab=1,baaabab=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21932 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:187,nodes:14,pairs:20,completionMax:43us [11m11s] 21932 ab:aab=1,baaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21932 ab:aab=1,baaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21933 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:63,nodes:16,pairs:5,completionMax:22us [11m11s] 21933 ab:aab=1,baaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21933 ab:aab=1,baaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21934 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:238,nodes:22,pairs:9,completionMax:43us [11m11s] 21934 ab:aab=1,baaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21934 ab:aab=1,baaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21935 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:14,pairs:4,completionMax:13us [11m11s] 21935 ab:aab=1,baaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21935 ab:aab=1,baaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21936 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:34,nodes:12,pairs:2,completionMax:6us [11m11s] 21936 ab:aab=1,baabaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21936 ab:aab=1,baabaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21937 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:100,nodes:12,pairs:7,completionMax:27us [11m11s] 21937 ab:aab=1,baabaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21937 ab:aab=1,baabaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21938 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m11s] 21938 ab:aab=1,baabaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21938 ab:aab=1,baabaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21939 solved: rounds:0,rules:1,peak:1,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:0us [11m11s] 21939 ab:aab=1,baabaab=b infinite ab - - ab:aab=1 [11m11s] from: 21939 ab:aab=1,baabaab=b infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 21940 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:186,nodes:14,pairs:20,completionMax:39us [11m11s] 21940 ab:aab=1,baababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21940 ab:aab=1,baababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21941 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:62,nodes:16,pairs:5,completionMax:21us [11m11s] 21941 ab:aab=1,baababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21941 ab:aab=1,baababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21942 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:237,nodes:22,pairs:9,completionMax:44us [11m11s] 21942 ab:aab=1,baababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21942 ab:aab=1,baababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21943 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:14,pairs:4,completionMax:18us [11m11s] 21943 ab:aab=1,baababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21943 ab:aab=1,baababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21944 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:155,nodes:16,pairs:19,completionMax:37us [11m11s] 21944 ab:aab=1,baabbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21944 ab:aab=1,baabbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21945 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:83,nodes:14,pairs:7,completionMax:19us [11m11s] 21945 ab:aab=1,baabbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21945 ab:aab=1,baabbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21946 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:217,nodes:20,pairs:23,completionMax:60us [11m11s] 21946 ab:aab=1,baabbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21946 ab:aab=1,baabbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21947 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:84,nodes:14,pairs:9,completionMax:25us [11m11s] 21947 ab:aab=1,baabbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21947 ab:aab=1,baabbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21948 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:217,nodes:18,pairs:15,completionMax:53us [11m11s] 21948 ab:aab=1,baabbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21948 ab:aab=1,baabbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21949 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:247,nodes:12,pairs:27,completionMax:45us [11m11s] 21949 ab:aab=1,baabbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21949 ab:aab=1,baabbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21950 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:267,nodes:18,pairs:15,completionMax:37us [11m11s] 21950 ab:aab=1,baabbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21950 ab:aab=1,baabbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21951 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:70,nodes:14,pairs:6,completionMax:26us [11m11s] 21951 ab:aab=1,baabbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21951 ab:aab=1,baabbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21952 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:186,nodes:26,pairs:14,completionMax:31us [11m11s] 21952 ab:aab=1,babaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21952 ab:aab=1,babaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21953 solved: rounds:2,rules:2,peak:9,longest:7,steps:4,word:0,work:595,nodes:28,pairs:18,completionMax:85us [11m11s] 21953 ab:aab=1,babaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21953 ab:aab=1,babaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21954 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:189,nodes:14,pairs:20,completionMax:38us [11m11s] 21954 ab:aab=1,babaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21954 ab:aab=1,babaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21955 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:16,pairs:5,completionMax:19us [11m11s] 21955 ab:aab=1,babaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21955 ab:aab=1,babaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21956 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:188,nodes:14,pairs:20,completionMax:36us [11m11s] 21956 ab:aab=1,babaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21956 ab:aab=1,babaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21957 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:16,pairs:5,completionMax:13us [11m11s] 21957 ab:aab=1,babaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21957 ab:aab=1,babaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21958 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:239,nodes:22,pairs:9,completionMax:49us [11m11s] 21958 ab:aab=1,babaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21958 ab:aab=1,babaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21959 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:14,pairs:4,completionMax:12us [11m11s] 21959 ab:aab=1,babaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21959 ab:aab=1,babaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21960 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:226,nodes:26,pairs:22,completionMax:51us [11m11s] 21960 ab:aab=1,bababaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21960 ab:aab=1,bababaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21961 solved: rounds:2,rules:2,peak:5,longest:7,steps:6,word:0,work:411,nodes:28,pairs:11,completionMax:39us [11m11s] 21961 ab:aab=1,bababaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21961 ab:aab=1,bababaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21962 solved: rounds:3,rules:2,peak:5,longest:8,steps:7,word:6,work:386,nodes:22,pairs:10,completionMax:57us [11m11s] 21962 ab:aab=1,bababab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21962 ab:aab=1,bababab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21963 solved: rounds:4,rules:2,peak:4,longest:7,steps:2,word:0,work:85,nodes:26,pairs:10,completionMax:42us [11m11s] 21963 ab:aab=1,bababab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21963 ab:aab=1,bababab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21964 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:3,work:1017,nodes:32,pairs:35,completionMax:128us [11m11s] 21964 ab:aab=1,bababba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21964 ab:aab=1,bababba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21965 solved: rounds:3,rules:2,peak:10,longest:7,steps:6,word:0,work:1272,nodes:34,pairs:59,completionMax:113us [11m11s] 21965 ab:aab=1,bababba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21965 ab:aab=1,bababba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21966 solved: rounds:4,rules:2,peak:12,longest:9,steps:5,word:6,work:2598,nodes:38,pairs:76,completionMax:285us [11m11s] 21966 ab:aab=1,bababbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21966 ab:aab=1,bababbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21967 solved: rounds:4,rules:2,peak:5,longest:7,steps:2,word:3,work:89,nodes:26,pairs:8,completionMax:34us [11m11s] 21967 ab:aab=1,bababbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21967 ab:aab=1,bababbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21968 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:0,work:414,nodes:26,pairs:27,completionMax:79us [11m11s] 21968 ab:aab=1,babbaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21968 ab:aab=1,babbaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21969 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:0,work:424,nodes:28,pairs:15,completionMax:41us [11m11s] 21969 ab:aab=1,babbaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21969 ab:aab=1,babbaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21970 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:240,nodes:22,pairs:9,completionMax:35us [11m11s] 21970 ab:aab=1,babbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21970 ab:aab=1,babbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21971 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:33,nodes:14,pairs:4,completionMax:9us [11m11s] 21971 ab:aab=1,babbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21971 ab:aab=1,babbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21972 solved: rounds:3,rules:2,peak:10,longest:7,steps:4,word:3,work:1471,nodes:28,pairs:66,completionMax:165us [11m11s] 21972 ab:aab=1,babbaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21972 ab:aab=1,babbaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21973 solved: rounds:2,rules:2,peak:7,longest:7,steps:6,word:0,work:743,nodes:34,pairs:20,completionMax:75us [11m11s] 21973 ab:aab=1,babbaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21973 ab:aab=1,babbaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21974 solved: rounds:5,rules:2,peak:8,longest:9,steps:4,word:6,work:644,nodes:26,pairs:34,completionMax:103us [11m11s] 21974 ab:aab=1,babbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21974 ab:aab=1,babbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21975 solved: rounds:5,rules:2,peak:5,longest:7,steps:2,word:3,work:173,nodes:26,pairs:16,completionMax:52us [11m11s] 21975 ab:aab=1,babbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21975 ab:aab=1,babbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21976 solved: rounds:3,rules:2,peak:9,longest:7,steps:4,word:6,work:751,nodes:28,pairs:47,completionMax:103us [11m11s] 21976 ab:aab=1,babbbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21976 ab:aab=1,babbbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21977 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:0,work:589,nodes:28,pairs:25,completionMax:52us [11m11s] 21977 ab:aab=1,babbbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21977 ab:aab=1,babbbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21978 solved: rounds:4,rules:2,peak:12,longest:9,steps:11,word:6,work:2420,nodes:34,pairs:39,completionMax:213us [11m11s] 21978 ab:aab=1,babbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21978 ab:aab=1,babbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21979 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:3,work:492,nodes:26,pairs:32,completionMax:84us [11m11s] 21979 ab:aab=1,babbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21979 ab:aab=1,babbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21980 solved: rounds:4,rules:2,peak:11,longest:9,steps:5,word:6,work:2635,nodes:34,pairs:95,completionMax:343us [11m11s] 21980 ab:aab=1,babbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21980 ab:aab=1,babbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21981 solved: rounds:4,rules:2,peak:12,longest:7,steps:5,word:3,work:1648,nodes:34,pairs:39,completionMax:160us [11m11s] 21981 ab:aab=1,babbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21981 ab:aab=1,babbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21982 solved: rounds:4,rules:2,peak:9,longest:12,steps:6,word:9,work:1978,nodes:34,pairs:57,completionMax:207us [11m11s] 21982 ab:aab=1,babbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 21982 ab:aab=1,babbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 21983 solved: rounds:6,rules:2,peak:5,longest:9,steps:6,word:6,work:343,nodes:26,pairs:16,completionMax:59us [11m11s] 21983 ab:aab=1,babbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21983 ab:aab=1,babbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21984 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:144,nodes:28,pairs:13,completionMax:32us [11m11s] 21984 ab:aab=1,bbaaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21984 ab:aab=1,bbaaaaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21985 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:344,nodes:26,pairs:26,completionMax:57us [11m11s] 21985 ab:aab=1,bbaaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21985 ab:aab=1,bbaaaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21986 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:158,nodes:16,pairs:19,completionMax:43us [11m11s] 21986 ab:aab=1,bbaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21986 ab:aab=1,bbaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21987 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:86,nodes:14,pairs:7,completionMax:15us [11m11s] 21987 ab:aab=1,bbaaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21987 ab:aab=1,bbaaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21988 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:157,nodes:16,pairs:19,completionMax:38us [11m11s] 21988 ab:aab=1,bbaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21988 ab:aab=1,bbaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21989 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:85,nodes:14,pairs:7,completionMax:24us [11m11s] 21989 ab:aab=1,bbaaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21989 ab:aab=1,bbaaaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21990 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:219,nodes:20,pairs:23,completionMax:65us [11m11s] 21990 ab:aab=1,bbaaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21990 ab:aab=1,bbaaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21991 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:86,nodes:14,pairs:9,completionMax:22us [11m11s] 21991 ab:aab=1,bbaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21991 ab:aab=1,bbaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21992 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:156,nodes:16,pairs:19,completionMax:36us [11m11s] 21992 ab:aab=1,bbaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21992 ab:aab=1,bbaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21993 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:84,nodes:14,pairs:7,completionMax:28us [11m11s] 21993 ab:aab=1,bbaabaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 21993 ab:aab=1,bbaabaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 21994 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:218,nodes:20,pairs:23,completionMax:54us [11m11s] 21994 ab:aab=1,bbaabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21994 ab:aab=1,bbaabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21995 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:85,nodes:14,pairs:9,completionMax:21us [11m11s] 21995 ab:aab=1,bbaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21995 ab:aab=1,bbaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21996 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:218,nodes:18,pairs:15,completionMax:41us [11m11s] 21996 ab:aab=1,bbaabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21996 ab:aab=1,bbaabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 21997 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:248,nodes:12,pairs:27,completionMax:47us [11m11s] 21997 ab:aab=1,bbaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 21997 ab:aab=1,bbaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 21998 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:268,nodes:18,pairs:15,completionMax:47us [11m11s] 21998 ab:aab=1,bbaabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 21998 ab:aab=1,bbaabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 21999 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:71,nodes:14,pairs:6,completionMax:22us [11m11s] 21999 ab:aab=1,bbaabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 21999 ab:aab=1,bbaabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22000 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:219,nodes:28,pairs:18,completionMax:53us [11m11s] 22000 ab:aab=1,bbabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22000 ab:aab=1,bbabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22001 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:0,work:358,nodes:26,pairs:15,completionMax:50us [11m11s] 22001 ab:aab=1,bbabaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22001 ab:aab=1,bbabaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22002 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:220,nodes:20,pairs:23,completionMax:71us [11m11s] 22002 ab:aab=1,bbabaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22002 ab:aab=1,bbabaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22003 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:87,nodes:14,pairs:9,completionMax:24us [11m11s] 22003 ab:aab=1,bbabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22003 ab:aab=1,bbabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22004 solved: rounds:3,rules:2,peak:8,longest:15,steps:5,word:9,work:1106,nodes:52,pairs:48,completionMax:158us [11m11s] 22004 ab:aab=1,bbababa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22004 ab:aab=1,bbababa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22005 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:0,work:352,nodes:26,pairs:22,completionMax:49us [11m11s] 22005 ab:aab=1,bbababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22005 ab:aab=1,bbababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22006 solved: rounds:3,rules:2,peak:10,longest:9,steps:8,word:6,work:1567,nodes:28,pairs:61,completionMax:199us [11m11s] 22006 ab:aab=1,bbababb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22006 ab:aab=1,bbababb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22007 solved: rounds:4,rules:2,peak:9,longest:7,steps:4,word:3,work:1005,nodes:28,pairs:58,completionMax:153us [11m11s] 22007 ab:aab=1,bbababb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22007 ab:aab=1,bbababb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22008 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:3,work:551,nodes:28,pairs:36,completionMax:96us [11m11s] 22008 ab:aab=1,bbabbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22008 ab:aab=1,bbabbaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22009 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:676,nodes:26,pairs:28,completionMax:73us [11m11s] 22009 ab:aab=1,bbabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22009 ab:aab=1,bbabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22010 solved: rounds:2,rules:2,peak:7,longest:9,steps:7,word:6,work:969,nodes:42,pairs:27,completionMax:117us [11m11s] 22010 ab:aab=1,bbabbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22010 ab:aab=1,bbabbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22011 solved: rounds:4,rules:2,peak:7,longest:7,steps:5,word:3,work:527,nodes:26,pairs:31,completionMax:92us [11m11s] 22011 ab:aab=1,bbabbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22011 ab:aab=1,bbabbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22012 solved: rounds:4,rules:2,peak:13,longest:9,steps:5,word:6,work:3759,nodes:34,pairs:104,completionMax:449us [11m11s] 22012 ab:aab=1,bbabbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22012 ab:aab=1,bbabbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22013 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:3,work:1009,nodes:32,pairs:53,completionMax:130us [11m11s] 22013 ab:aab=1,bbabbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22013 ab:aab=1,bbabbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22014 solved: rounds:3,rules:2,peak:9,longest:12,steps:7,word:9,work:2931,nodes:28,pairs:75,completionMax:320us [11m11s] 22014 ab:aab=1,bbabbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22014 ab:aab=1,bbabbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22015 solved: rounds:6,rules:2,peak:8,longest:9,steps:6,word:6,work:1361,nodes:32,pairs:52,completionMax:184us [11m11s] 22015 ab:aab=1,bbabbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22015 ab:aab=1,bbabbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22016 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:0,work:295,nodes:26,pairs:21,completionMax:59us [11m11s] 22016 ab:aab=1,bbbaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22016 ab:aab=1,bbbaaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22017 solved: rounds:2,rules:2,peak:5,longest:7,steps:9,word:0,work:290,nodes:24,pairs:14,completionMax:26us [11m11s] 22017 ab:aab=1,bbbaaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22017 ab:aab=1,bbbaaaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22018 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:220,nodes:18,pairs:15,completionMax:63us [11m11s] 22018 ab:aab=1,bbbaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22018 ab:aab=1,bbbaaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22019 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:250,nodes:12,pairs:27,completionMax:54us [11m11s] 22019 ab:aab=1,bbbaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22019 ab:aab=1,bbbaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22020 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:219,nodes:18,pairs:15,completionMax:58us [11m11s] 22020 ab:aab=1,bbbaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22020 ab:aab=1,bbbaaba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22021 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:249,nodes:12,pairs:27,completionMax:49us [11m11s] 22021 ab:aab=1,bbbaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22021 ab:aab=1,bbbaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22022 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:269,nodes:18,pairs:15,completionMax:36us [11m11s] 22022 ab:aab=1,bbbaabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22022 ab:aab=1,bbbaabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22023 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:72,nodes:14,pairs:6,completionMax:25us [11m11s] 22023 ab:aab=1,bbbaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22023 ab:aab=1,bbbaabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22024 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:3,work:453,nodes:26,pairs:27,completionMax:66us [11m11s] 22024 ab:aab=1,bbbabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22024 ab:aab=1,bbbabaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22025 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:528,nodes:24,pairs:23,completionMax:43us [11m11s] 22025 ab:aab=1,bbbabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22025 ab:aab=1,bbbabaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22026 solved: rounds:3,rules:2,peak:7,longest:9,steps:5,word:6,work:706,nodes:28,pairs:17,completionMax:64us [11m11s] 22026 ab:aab=1,bbbabab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22026 ab:aab=1,bbbabab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22027 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:3,work:477,nodes:24,pairs:33,completionMax:87us [11m11s] 22027 ab:aab=1,bbbabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22027 ab:aab=1,bbbabab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22028 solved: rounds:4,rules:2,peak:12,longest:9,steps:6,word:6,work:2211,nodes:34,pairs:88,completionMax:313us [11m11s] 22028 ab:aab=1,bbbabba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22028 ab:aab=1,bbbabba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22029 solved: rounds:3,rules:2,peak:9,longest:10,steps:17,word:9,work:3903,nodes:30,pairs:49,completionMax:187us [11m11s] 22029 ab:aab=1,bbbabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22029 ab:aab=1,bbbabba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22030 solved: rounds:3,rules:2,peak:12,longest:12,steps:8,word:9,work:2641,nodes:38,pairs:63,completionMax:321us [11m11s] 22030 ab:aab=1,bbbabbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22030 ab:aab=1,bbbabbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22031 solved: rounds:6,rules:2,peak:6,longest:9,steps:6,word:6,work:955,nodes:28,pairs:40,completionMax:104us [11m11s] 22031 ab:aab=1,bbbabbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22031 ab:aab=1,bbbabbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22032 solved: rounds:3,rules:2,peak:10,longest:13,steps:5,word:9,work:1968,nodes:44,pairs:52,completionMax:217us [11m11s] 22032 ab:aab=1,bbbbaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22032 ab:aab=1,bbbbaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22033 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:0,work:599,nodes:22,pairs:23,completionMax:75us [11m11s] 22033 ab:aab=1,bbbbaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22033 ab:aab=1,bbbbaaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22034 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:270,nodes:18,pairs:15,completionMax:38us [11m11s] 22034 ab:aab=1,bbbbaab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22034 ab:aab=1,bbbbaab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22035 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:73,nodes:14,pairs:6,completionMax:20us [11m11s] 22035 ab:aab=1,bbbbaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22035 ab:aab=1,bbbbaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22036 solved: rounds:4,rules:2,peak:8,longest:9,steps:4,word:6,work:1049,nodes:28,pairs:54,completionMax:148us [11m11s] 22036 ab:aab=1,bbbbaba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22036 ab:aab=1,bbbbaba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22037 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:3,work:426,nodes:24,pairs:30,completionMax:73us [11m11s] 22037 ab:aab=1,bbbbaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22037 ab:aab=1,bbbbaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22038 solved: rounds:4,rules:2,peak:13,longest:12,steps:5,word:9,work:3952,nodes:44,pairs:101,completionMax:344us [11m11s] 22038 ab:aab=1,bbbbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22038 ab:aab=1,bbbbabb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22039 solved: rounds:6,rules:2,peak:7,longest:9,steps:6,word:6,work:992,nodes:26,pairs:51,completionMax:113us [11m11s] 22039 ab:aab=1,bbbbabb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22039 ab:aab=1,bbbbabb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22040 solved: rounds:5,rules:2,peak:8,longest:14,steps:10,word:12,work:1567,nodes:34,pairs:39,completionMax:170us [11m11s] 22040 ab:aab=1,bbbbbaa=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22040 ab:aab=1,bbbbbaa=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22041 solved: rounds:3,rules:2,peak:9,longest:7,steps:5,word:3,work:1034,nodes:22,pairs:52,completionMax:116us [11m11s] 22041 ab:aab=1,bbbbbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22041 ab:aab=1,bbbbbaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22042 solved: rounds:5,rules:2,peak:11,longest:12,steps:8,word:9,work:2335,nodes:36,pairs:62,completionMax:214us [11m11s] 22042 ab:aab=1,bbbbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22042 ab:aab=1,bbbbbab=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22043 solved: rounds:6,rules:2,peak:6,longest:9,steps:6,word:6,work:477,nodes:20,pairs:20,completionMax:73us [11m11s] 22043 ab:aab=1,bbbbbab=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22043 ab:aab=1,bbbbbab=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22044 solved: rounds:6,rules:2,peak:7,longest:12,steps:7,word:9,work:813,nodes:24,pairs:34,completionMax:125us [11m11s] 22044 ab:aab=1,bbbbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22044 ab:aab=1,bbbbbba=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22045 solved: rounds:3,rules:2,peak:9,longest:9,steps:11,word:12,work:3603,nodes:22,pairs:64,completionMax:228us [11m11s] 22045 ab:aab=1,bbbbbba=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22045 ab:aab=1,bbbbbba=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22046 solved: rounds:7,rules:2,peak:4,longest:15,steps:10,word:12,work:2080,nodes:30,pairs:28,completionMax:111us [11m11s] 22046 ab:aab=1,bbbbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b7;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaa [11m11s] from: 22046 ab:aab=1,bbbbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b7;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=a [11m11s] # 22047 solved: rounds:7,rules:2,peak:5,longest:12,steps:6,word:9,work:583,nodes:24,pairs:21,completionMax:87us [11m11s] 22047 ab:aab=1,bbbbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22047 ab:aab=1,bbbbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22048 solved: rounds:3,rules:2,peak:4,longest:7,steps:6,word:3,work:170,nodes:16,pairs:8,completionMax:36us [11m11s] 22048 ab:aba=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22048 ab:aba=1,aaaaaaa=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22049 solved: rounds:1,rules:2,peak:2,longest:9,steps:1,word:6,work:3,nodes:18,pairs:1,completionMax:8us [11m11s] 22049 ab:aba=1,aaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22049 ab:aba=1,aaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22050 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:0,work:216,nodes:18,pairs:15,completionMax:41us [11m11s] 22050 ab:aba=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22050 ab:aba=1,aaaaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22051 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:6,work:114,nodes:18,pairs:10,completionMax:30us [11m11s] 22051 ab:aba=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22051 ab:aba=1,aaaaaab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22052 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:8,completionMax:19us [11m11s] 22052 ab:aba=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22052 ab:aba=1,aaaaaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22053 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:10,nodes:12,pairs:1,completionMax:7us [11m11s] 22053 ab:aba=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22053 ab:aba=1,aaaaaba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22054 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:65,nodes:20,pairs:8,completionMax:20us [11m11s] 22054 ab:aba=1,aaaaabb=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22054 ab:aba=1,aaaaabb=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22055 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:0,work:126,nodes:20,pairs:13,completionMax:27us [11m11s] 22055 ab:aba=1,aaaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22055 ab:aba=1,aaaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22056 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:66,nodes:12,pairs:8,completionMax:16us [11m11s] 22056 ab:aba=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22056 ab:aba=1,aaaabaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22057 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:9,nodes:12,pairs:1,completionMax:7us [11m11s] 22057 ab:aba=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22057 ab:aba=1,aaaabaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22058 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:36,nodes:12,pairs:2,completionMax:12us [11m11s] 22058 ab:aba=1,aaaabab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22058 ab:aba=1,aaaabab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22059 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:12,pairs:10,completionMax:29us [11m11s] 22059 ab:aba=1,aaaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22059 ab:aba=1,aaaabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22060 solved: rounds:1,rules:2,peak:5,longest:7,steps:3,word:0,work:113,nodes:18,pairs:3,completionMax:19us [11m11s] 22060 ab:aba=1,aaaabba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22060 ab:aba=1,aaaabba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22061 solved: rounds:2,rules:2,peak:6,longest:7,steps:4,word:0,work:336,nodes:18,pairs:20,completionMax:50us [11m11s] 22061 ab:aba=1,aaaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22061 ab:aba=1,aaaabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22062 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:0,work:121,nodes:22,pairs:11,completionMax:23us [11m11s] 22062 ab:aba=1,aaaabbb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22062 ab:aba=1,aaaabbb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22063 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:82,nodes:22,pairs:8,completionMax:24us [11m11s] 22063 ab:aba=1,aaaabbb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22063 ab:aba=1,aaaabbb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22064 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:8,completionMax:25us [11m11s] 22064 ab:aba=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22064 ab:aba=1,aaabaaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22065 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:8,nodes:12,pairs:1,completionMax:7us [11m11s] 22065 ab:aba=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22065 ab:aba=1,aaabaaa=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22066 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:35,nodes:12,pairs:2,completionMax:10us [11m11s] 22066 ab:aba=1,aaabaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22066 ab:aba=1,aaabaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22067 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:100,nodes:12,pairs:10,completionMax:26us [11m11s] 22067 ab:aba=1,aaabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22067 ab:aba=1,aaabaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22068 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:27,nodes:8,pairs:2,completionMax:6us [11m11s] 22068 ab:aba=1,aaababa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22068 ab:aba=1,aaababa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22069 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:4us [11m11s] 22069 ab:aba=1,aaababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22069 ab:aba=1,aaababa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22070 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:66,nodes:12,pairs:8,completionMax:19us [11m11s] 22070 ab:aba=1,aaababb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22070 ab:aba=1,aaababb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22071 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:12,pairs:2,completionMax:10us [11m11s] 22071 ab:aba=1,aaababb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22071 ab:aba=1,aaababb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22072 solved: rounds:1,rules:2,peak:4,longest:7,steps:4,word:0,work:112,nodes:18,pairs:4,completionMax:17us [11m11s] 22072 ab:aba=1,aaabbaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22072 ab:aba=1,aaabbaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22073 solved: rounds:2,rules:2,peak:7,longest:7,steps:7,word:0,work:990,nodes:22,pairs:39,completionMax:104us [11m11s] 22073 ab:aba=1,aaabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22073 ab:aba=1,aaabbaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22074 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:129,nodes:18,pairs:12,completionMax:32us [11m11s] 22074 ab:aba=1,aaabbab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22074 ab:aba=1,aaabbab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22075 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:85,nodes:18,pairs:7,completionMax:18us [11m11s] 22075 ab:aba=1,aaabbab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22075 ab:aba=1,aaabbab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22076 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:0,work:146,nodes:18,pairs:10,completionMax:24us [11m11s] 22076 ab:aba=1,aaabbba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22076 ab:aba=1,aaabbba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22077 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:0,work:165,nodes:18,pairs:8,completionMax:18us [11m11s] 22077 ab:aba=1,aaabbba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22077 ab:aba=1,aaabbba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22078 solved: rounds:6,rules:2,peak:4,longest:7,steps:12,word:3,work:537,nodes:26,pairs:12,completionMax:46us [11m11s] 22078 ab:aba=1,aaabbbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22078 ab:aba=1,aaabbbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22079 solved: rounds:4,rules:2,peak:6,longest:7,steps:4,word:0,work:427,nodes:24,pairs:11,completionMax:51us [11m11s] 22079 ab:aba=1,aaabbbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22079 ab:aba=1,aaabbbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22080 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:34,nodes:12,pairs:2,completionMax:9us [11m11s] 22080 ab:aba=1,aabaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22080 ab:aba=1,aabaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22081 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:99,nodes:12,pairs:10,completionMax:23us [11m11s] 22081 ab:aba=1,aabaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22081 ab:aba=1,aabaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22082 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:26,nodes:8,pairs:2,completionMax:5us [11m11s] 22082 ab:aba=1,aabaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22082 ab:aba=1,aabaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22083 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m11s] 22083 ab:aba=1,aabaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22083 ab:aba=1,aabaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22084 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:8,completionMax:19us [11m11s] 22084 ab:aba=1,aabaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22084 ab:aba=1,aabaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22085 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:2,completionMax:9us [11m11s] 22085 ab:aba=1,aabaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22085 ab:aba=1,aabaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22086 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:6us [11m11s] 22086 ab:aba=1,aababaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22086 ab:aba=1,aababaa=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22087 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m11s] 22087 ab:aba=1,aababaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22087 ab:aba=1,aababaa=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22088 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:3us [11m11s] 22088 ab:aba=1,aababab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22088 ab:aba=1,aababab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22089 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:7us [11m11s] 22089 ab:aba=1,aababab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22089 ab:aba=1,aababab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22090 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:85,nodes:10,pairs:8,completionMax:17us [11m11s] 22090 ab:aba=1,aababba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22090 ab:aba=1,aababba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22091 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:55,nodes:10,pairs:5,completionMax:12us [11m11s] 22091 ab:aba=1,aababba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22091 ab:aba=1,aababba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22092 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:132,nodes:12,pairs:9,completionMax:35us [11m11s] 22092 ab:aba=1,aababbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22092 ab:aba=1,aababbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22093 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:187,nodes:12,pairs:8,completionMax:22us [11m11s] 22093 ab:aba=1,aababbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22093 ab:aba=1,aababbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22094 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:0,work:249,nodes:24,pairs:14,completionMax:48us [11m11s] 22094 ab:aba=1,aabbaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22094 ab:aba=1,aabbaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22095 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:110,nodes:18,pairs:5,completionMax:21us [11m11s] 22095 ab:aba=1,aabbaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22095 ab:aba=1,aabbaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22096 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:68,nodes:12,pairs:8,completionMax:16us [11m11s] 22096 ab:aba=1,aabbaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22096 ab:aba=1,aabbaba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22097 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:2,completionMax:10us [11m11s] 22097 ab:aba=1,aabbaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22097 ab:aba=1,aabbaba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22098 solved: rounds:6,rules:2,peak:4,longest:7,steps:10,word:3,work:520,nodes:26,pairs:12,completionMax:62us [11m11s] 22098 ab:aba=1,aabbabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22098 ab:aba=1,aabbabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22099 solved: rounds:4,rules:2,peak:4,longest:7,steps:5,word:0,work:283,nodes:20,pairs:11,completionMax:27us [11m11s] 22099 ab:aba=1,aabbabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22099 ab:aba=1,aabbabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22100 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:144,nodes:18,pairs:9,completionMax:22us [11m11s] 22100 ab:aba=1,aabbbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22100 ab:aba=1,aabbbaa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22101 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:193,nodes:18,pairs:7,completionMax:16us [11m11s] 22101 ab:aba=1,aabbbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22101 ab:aba=1,aabbbaa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22102 solved: rounds:3,rules:2,peak:6,longest:7,steps:7,word:3,work:507,nodes:26,pairs:14,completionMax:49us [11m11s] 22102 ab:aba=1,aabbbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22102 ab:aba=1,aabbbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22103 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:0,work:285,nodes:20,pairs:18,completionMax:33us [11m11s] 22103 ab:aba=1,aabbbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22103 ab:aba=1,aabbbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22104 solved: rounds:6,rules:2,peak:4,longest:7,steps:9,word:3,work:410,nodes:26,pairs:13,completionMax:41us [11m11s] 22104 ab:aba=1,aabbbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22104 ab:aba=1,aabbbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22105 solved: rounds:4,rules:2,peak:6,longest:7,steps:5,word:0,work:554,nodes:20,pairs:11,completionMax:40us [11m11s] 22105 ab:aba=1,aabbbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22105 ab:aba=1,aabbbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22106 solved: rounds:7,rules:2,peak:4,longest:9,steps:10,word:6,work:907,nodes:26,pairs:14,completionMax:61us [11m11s] 22106 ab:aba=1,aabbbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22106 ab:aba=1,aabbbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22107 solved: rounds:4,rules:2,peak:7,longest:8,steps:10,word:6,work:1167,nodes:26,pairs:27,completionMax:78us [11m11s] 22107 ab:aba=1,aabbbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22107 ab:aba=1,aabbbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22108 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:33,nodes:12,pairs:2,completionMax:10us [11m11s] 22108 ab:aba=1,abaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22108 ab:aba=1,abaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22109 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:12,pairs:10,completionMax:23us [11m11s] 22109 ab:aba=1,abaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22109 ab:aba=1,abaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22110 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:5us [11m11s] 22110 ab:aba=1,abaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22110 ab:aba=1,abaaaba=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22111 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:7us [11m11s] 22111 ab:aba=1,abaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22111 ab:aba=1,abaaaba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22112 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:8,completionMax:21us [11m11s] 22112 ab:aba=1,abaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22112 ab:aba=1,abaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22113 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:12,pairs:2,completionMax:10us [11m11s] 22113 ab:aba=1,abaaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22113 ab:aba=1,abaaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22114 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m11s] 22114 ab:aba=1,abaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22114 ab:aba=1,abaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22115 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:2,completionMax:5us [11m11s] 22115 ab:aba=1,abaabab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22115 ab:aba=1,abaabab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22116 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:84,nodes:10,pairs:8,completionMax:18us [11m11s] 22116 ab:aba=1,abaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22116 ab:aba=1,abaabba=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22117 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:54,nodes:10,pairs:5,completionMax:14us [11m11s] 22117 ab:aba=1,abaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22117 ab:aba=1,abaabba=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22118 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:131,nodes:12,pairs:9,completionMax:32us [11m11s] 22118 ab:aba=1,abaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22118 ab:aba=1,abaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22119 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:186,nodes:12,pairs:8,completionMax:25us [11m11s] 22119 ab:aba=1,abaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22119 ab:aba=1,abaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22120 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:77,nodes:12,pairs:12,completionMax:16us [11m11s] 22120 ab:aba=1,ababaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22120 ab:aba=1,ababaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22121 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:12,pairs:2,completionMax:8us [11m11s] 22121 ab:aba=1,ababaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22121 ab:aba=1,ababaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22122 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:9us [11m11s] 22122 ab:aba=1,abababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22122 ab:aba=1,abababa=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22123 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:5us [11m11s] 22123 ab:aba=1,abababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22123 ab:aba=1,abababa=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22124 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:241,nodes:12,pairs:17,completionMax:27us [11m11s] 22124 ab:aba=1,abababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22124 ab:aba=1,abababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22125 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:101,nodes:12,pairs:6,completionMax:13us [11m11s] 22125 ab:aba=1,abababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22125 ab:aba=1,abababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22126 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:6,work:217,nodes:12,pairs:17,completionMax:32us [11m11s] 22126 ab:aba=1,ababbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22126 ab:aba=1,ababbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22127 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:111,nodes:12,pairs:6,completionMax:13us [11m11s] 22127 ab:aba=1,ababbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22127 ab:aba=1,ababbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22128 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:122,nodes:12,pairs:9,completionMax:28us [11m11s] 22128 ab:aba=1,ababbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22128 ab:aba=1,ababbba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22129 solved: rounds:4,rules:2,peak:4,longest:4,steps:4,word:0,work:247,nodes:12,pairs:10,completionMax:26us [11m11s] 22129 ab:aba=1,ababbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22129 ab:aba=1,ababbba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22130 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:311,nodes:18,pairs:12,completionMax:34us [11m11s] 22130 ab:aba=1,ababbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22130 ab:aba=1,ababbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22131 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:145,nodes:12,pairs:9,completionMax:30us [11m11s] 22131 ab:aba=1,ababbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22131 ab:aba=1,ababbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22132 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:0,work:328,nodes:24,pairs:16,completionMax:35us [11m11s] 22132 ab:aba=1,abbaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22132 ab:aba=1,abbaaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22133 solved: rounds:2,rules:2,peak:3,longest:7,steps:4,word:0,work:121,nodes:16,pairs:5,completionMax:14us [11m11s] 22133 ab:aba=1,abbaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22133 ab:aba=1,abbaaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22134 solved: rounds:6,rules:2,peak:4,longest:7,steps:8,word:3,work:476,nodes:24,pairs:13,completionMax:38us [11m11s] 22134 ab:aba=1,abbaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22134 ab:aba=1,abbaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22135 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:0,work:283,nodes:18,pairs:11,completionMax:40us [11m11s] 22135 ab:aba=1,abbaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22135 ab:aba=1,abbaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22136 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:134,nodes:12,pairs:9,completionMax:22us [11m11s] 22136 ab:aba=1,abbabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22136 ab:aba=1,abbabab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22137 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:189,nodes:12,pairs:8,completionMax:18us [11m11s] 22137 ab:aba=1,abbabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22137 ab:aba=1,abbabab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22138 solved: rounds:6,rules:2,peak:4,longest:7,steps:7,word:3,work:431,nodes:24,pairs:13,completionMax:34us [11m11s] 22138 ab:aba=1,abbabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22138 ab:aba=1,abbabba=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22139 solved: rounds:2,rules:2,peak:6,longest:7,steps:6,word:0,work:518,nodes:22,pairs:21,completionMax:56us [11m11s] 22139 ab:aba=1,abbabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22139 ab:aba=1,abbabba=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22140 solved: rounds:7,rules:2,peak:4,longest:9,steps:8,word:6,work:885,nodes:24,pairs:14,completionMax:79us [11m11s] 22140 ab:aba=1,abbabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22140 ab:aba=1,abbabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22141 solved: rounds:4,rules:2,peak:6,longest:7,steps:11,word:12,work:1532,nodes:24,pairs:43,completionMax:103us [11m11s] 22141 ab:aba=1,abbabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22141 ab:aba=1,abbabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22142 solved: rounds:3,rules:2,peak:6,longest:7,steps:6,word:3,work:474,nodes:24,pairs:12,completionMax:60us [11m11s] 22142 ab:aba=1,abbbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22142 ab:aba=1,abbbaab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22143 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:238,nodes:16,pairs:11,completionMax:26us [11m11s] 22143 ab:aba=1,abbbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22143 ab:aba=1,abbbaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22144 solved: rounds:6,rules:2,peak:5,longest:9,steps:6,word:6,work:775,nodes:26,pairs:19,completionMax:60us [11m11s] 22144 ab:aba=1,abbbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22144 ab:aba=1,abbbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22145 solved: rounds:5,rules:2,peak:6,longest:7,steps:10,word:3,work:715,nodes:24,pairs:16,completionMax:52us [11m11s] 22145 ab:aba=1,abbbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22145 ab:aba=1,abbbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22146 solved: rounds:4,rules:2,peak:5,longest:9,steps:8,word:6,work:496,nodes:24,pairs:11,completionMax:39us [11m11s] 22146 ab:aba=1,abbbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22146 ab:aba=1,abbbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22147 solved: rounds:6,rules:2,peak:4,longest:7,steps:6,word:3,work:407,nodes:22,pairs:19,completionMax:62us [11m11s] 22147 ab:aba=1,abbbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22147 ab:aba=1,abbbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22148 solved: rounds:7,rules:2,peak:4,longest:9,steps:6,word:6,work:727,nodes:24,pairs:15,completionMax:71us [11m11s] 22148 ab:aba=1,abbbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22148 ab:aba=1,abbbbba=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22149 solved: rounds:7,rules:2,peak:4,longest:7,steps:7,word:3,work:528,nodes:24,pairs:19,completionMax:47us [11m11s] 22149 ab:aba=1,abbbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22149 ab:aba=1,abbbbba=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22150 solved: rounds:8,rules:2,peak:4,longest:12,steps:9,word:9,work:1165,nodes:24,pairs:14,completionMax:131us [11m11s] 22150 ab:aba=1,abbbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22150 ab:aba=1,abbbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22151 solved: rounds:6,rules:2,peak:5,longest:9,steps:7,word:6,work:1128,nodes:24,pairs:17,completionMax:66us [11m11s] 22151 ab:aba=1,abbbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22151 ab:aba=1,abbbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22152 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:106,nodes:24,pairs:8,completionMax:19us [11m11s] 22152 ab:aba=1,baaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22152 ab:aba=1,baaaaab=a infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22153 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:0,work:167,nodes:24,pairs:15,completionMax:24us [11m11s] 22153 ab:aba=1,baaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22153 ab:aba=1,baaaaab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22154 solved: rounds:2,rules:2,peak:7,longest:7,steps:4,word:0,work:327,nodes:24,pairs:15,completionMax:34us [11m11s] 22154 ab:aba=1,baaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22154 ab:aba=1,baaaabb=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22155 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:98,nodes:24,pairs:6,completionMax:22us [11m11s] 22155 ab:aba=1,baaaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22155 ab:aba=1,baaaabb=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22156 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:80,nodes:12,pairs:12,completionMax:22us [11m11s] 22156 ab:aba=1,baaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22156 ab:aba=1,baaabab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22157 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:45,nodes:12,pairs:2,completionMax:9us [11m11s] 22157 ab:aba=1,baaabab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22157 ab:aba=1,baaabab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22158 solved: rounds:3,rules:2,peak:5,longest:7,steps:13,word:6,work:643,nodes:24,pairs:21,completionMax:49us [11m11s] 22158 ab:aba=1,baaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22158 ab:aba=1,baaabbb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22159 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:0,work:202,nodes:24,pairs:10,completionMax:28us [11m11s] 22159 ab:aba=1,baaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22159 ab:aba=1,baaabbb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22160 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:79,nodes:12,pairs:12,completionMax:17us [11m11s] 22160 ab:aba=1,baabaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22160 ab:aba=1,baabaab=a finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22161 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:44,nodes:12,pairs:2,completionMax:11us [11m11s] 22161 ab:aba=1,baabaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 22161 ab:aba=1,baabaab=b infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 22162 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:243,nodes:12,pairs:17,completionMax:43us [11m11s] 22162 ab:aba=1,baababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22162 ab:aba=1,baababb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22163 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:103,nodes:12,pairs:6,completionMax:24us [11m11s] 22163 ab:aba=1,baababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22163 ab:aba=1,baababb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22164 solved: rounds:3,rules:2,peak:5,longest:7,steps:11,word:6,work:579,nodes:24,pairs:21,completionMax:64us [11m11s] 22164 ab:aba=1,baabbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22164 ab:aba=1,baabbab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22165 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:182,nodes:18,pairs:7,completionMax:25us [11m11s] 22165 ab:aba=1,baabbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22165 ab:aba=1,baabbab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22166 solved: rounds:4,rules:2,peak:5,longest:9,steps:14,word:6,work:951,nodes:24,pairs:17,completionMax:44us [11m11s] 22166 ab:aba=1,baabbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22166 ab:aba=1,baabbbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22167 solved: rounds:3,rules:2,peak:7,longest:8,steps:17,word:6,work:1014,nodes:24,pairs:16,completionMax:55us [11m11s] 22167 ab:aba=1,baabbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22167 ab:aba=1,baabbbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22168 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:242,nodes:12,pairs:17,completionMax:24us [11m11s] 22168 ab:aba=1,babaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22168 ab:aba=1,babaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22169 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:102,nodes:12,pairs:6,completionMax:13us [11m11s] 22169 ab:aba=1,babaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22169 ab:aba=1,babaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22170 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:6,work:218,nodes:12,pairs:17,completionMax:21us [11m11s] 22170 ab:aba=1,bababab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22170 ab:aba=1,bababab=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22171 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:112,nodes:12,pairs:6,completionMax:13us [11m11s] 22171 ab:aba=1,bababab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22171 ab:aba=1,bababab=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22172 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:312,nodes:18,pairs:12,completionMax:35us [11m11s] 22172 ab:aba=1,bababbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22172 ab:aba=1,bababbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22173 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:146,nodes:12,pairs:9,completionMax:23us [11m11s] 22173 ab:aba=1,bababbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22173 ab:aba=1,bababbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22174 solved: rounds:5,rules:2,peak:5,longest:9,steps:7,word:6,work:703,nodes:26,pairs:17,completionMax:1831us [11m11s] 22174 ab:aba=1,babbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22174 ab:aba=1,babbabb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22175 solved: rounds:5,rules:2,peak:5,longest:7,steps:11,word:3,work:514,nodes:24,pairs:17,completionMax:41us [11m11s] 22175 ab:aba=1,babbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22175 ab:aba=1,babbabb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22176 solved: rounds:4,rules:2,peak:5,longest:9,steps:11,word:6,work:787,nodes:24,pairs:17,completionMax:45us [11m11s] 22176 ab:aba=1,babbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22176 ab:aba=1,babbbab=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22177 solved: rounds:6,rules:2,peak:4,longest:7,steps:10,word:3,work:413,nodes:24,pairs:18,completionMax:55us [11m11s] 22177 ab:aba=1,babbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22177 ab:aba=1,babbbab=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22178 solved: rounds:6,rules:2,peak:5,longest:12,steps:9,word:9,work:1138,nodes:24,pairs:21,completionMax:90us [11m11s] 22178 ab:aba=1,babbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22178 ab:aba=1,babbbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22179 solved: rounds:5,rules:2,peak:5,longest:9,steps:7,word:6,work:896,nodes:24,pairs:16,completionMax:72us [11m11s] 22179 ab:aba=1,babbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22179 ab:aba=1,babbbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22180 solved: rounds:5,rules:2,peak:4,longest:7,steps:9,word:3,work:300,nodes:18,pairs:12,completionMax:39us [11m11s] 22180 ab:aba=1,bbaaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22180 ab:aba=1,bbaaabb=a finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22181 solved: rounds:4,rules:2,peak:4,longest:7,steps:3,word:0,work:129,nodes:18,pairs:7,completionMax:24us [11m11s] 22181 ab:aba=1,bbaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 22181 ab:aba=1,bbaaabb=b finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 22182 solved: rounds:5,rules:2,peak:5,longest:9,steps:9,word:6,work:766,nodes:24,pairs:18,completionMax:67us [11m11s] 22182 ab:aba=1,bbaabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22182 ab:aba=1,bbaabbb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22183 solved: rounds:6,rules:2,peak:4,longest:7,steps:10,word:3,work:348,nodes:18,pairs:12,completionMax:50us [11m11s] 22183 ab:aba=1,bbaabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22183 ab:aba=1,bbaabbb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22184 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:313,nodes:18,pairs:12,completionMax:41us [11m11s] 22184 ab:aba=1,bbababb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22184 ab:aba=1,bbababb=a finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22185 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:147,nodes:12,pairs:9,completionMax:30us [11m11s] 22185 ab:aba=1,bbababb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 22185 ab:aba=1,bbababb=b finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 22186 solved: rounds:7,rules:2,peak:4,longest:12,steps:9,word:9,work:1352,nodes:26,pairs:19,completionMax:109us [11m11s] 22186 ab:aba=1,bbabbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22186 ab:aba=1,bbabbbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22187 solved: rounds:8,rules:2,peak:4,longest:9,steps:9,word:6,work:801,nodes:18,pairs:15,completionMax:88us [11m11s] 22187 ab:aba=1,bbabbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22187 ab:aba=1,bbabbbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22188 solved: rounds:8,rules:2,peak:4,longest:12,steps:9,word:9,work:1173,nodes:24,pairs:16,completionMax:149us [11m11s] 22188 ab:aba=1,bbbabbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22188 ab:aba=1,bbbabbb=a finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22189 solved: rounds:8,rules:2,peak:4,longest:9,steps:8,word:6,work:794,nodes:18,pairs:16,completionMax:83us [11m11s] 22189 ab:aba=1,bbbabbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 22189 ab:aba=1,bbbabbb=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 22190 solved: rounds:9,rules:2,peak:4,longest:15,steps:10,word:12,work:2260,nodes:30,pairs:20,completionMax:192us [11m11s] 22190 ab:aba=1,bbbbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b7;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aaaaaaaaaaaaa [11m11s] from: 22190 ab:aba=1,bbbbbbb=a finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b7;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaa,b=a [11m11s] # 22191 solved: rounds:9,rules:2,peak:4,longest:12,steps:9,word:9,work:1079,nodes:24,pairs:14,completionMax:112us [11m11s] 22191 ab:aba=1,bbbbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 22191 ab:aba=1,bbbbbbb=b finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 22192 solved: rounds:1,rules:1,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:4,completionMax:8us [11m11s] 22192 ab:aaa=1,aaaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 22192 ab:aaa=1,aaaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 22193 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:9us [11m11s] 22193 ab:aaa=1,aaaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 22193 ab:aaa=1,aaaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 22194 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m11s] 22194 ab:aaa=1,aaaaaa=bb infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 22194 ab:aaa=1,aaaaaa=bb infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 22195 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:11,nodes:6,pairs:2,completionMax:5us [11m11s] 22195 ab:aaa=1,aaaaab=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 22195 ab:aaa=1,aaaaab=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [11m11s] # 22196 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:6,pairs:2,completionMax:8us [11m11s] 22196 ab:aaa=1,aaaaab=ab infinite ab - - ab:ab=b,aaa=1 [11m11s] from: 22196 ab:aaa=1,aaaaab=ab infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [11m11s] # 22197 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:25,nodes:6,pairs:2,completionMax:8us [11m11s] 22197 ab:aaa=1,aaaaab=ba infinite a/b - - ab:aaa=1,ab=baa [11m11s] from: 22197 ab:aaa=1,aaaaab=ba infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [11m11s] # 22198 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:2,completionMax:9us [11m11s] 22198 ab:aaa=1,aaaaab=bb finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [11m11s] from: 22198 ab:aaa=1,aaaaab=bb finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [11m11s] # 22199 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:10,pairs:4,completionMax:12us [11m11s] 22199 ab:aaa=1,aaaaba=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 22199 ab:aaa=1,aaaaba=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [11m11s] # 22200 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:10,pairs:2,completionMax:6us [11m11s] 22200 ab:aaa=1,aaaaba=ab infinite ab - - ab:ba=b,aaa=1 [11m11s] from: 22200 ab:aaa=1,aaaaba=ab infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [11m11s] # 22201 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:4us [11m11s] 22201 ab:aaa=1,aaaaba=ba infinite ab - - ab:ab=b,aaa=1 [11m11s] from: 22201 ab:aaa=1,aaaaba=ba infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [11m11s] # 22202 solved: rounds:3,rules:5,peak:5,longest:8,steps:16,word:1,work:1189,nodes:28,pairs:5,completionMax:44us [11m11s] 22202 ab:aaa=1,aaaaba=bb finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [11m11s] from: 22202 ab:aaa=1,aaaaba=bb finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [11m11s] # 22203 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:185,nodes:24,pairs:8,completionMax:33us [11m11s] 22203 ab:aaa=1,aaaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22203 ab:aaa=1,aaaabb=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22204 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:10,pairs:1,completionMax:4us [11m11s] 22204 ab:aaa=1,aaaabb=ab infinite ab - - ab:bb=b,aaa=1 [11m11s] from: 22204 ab:aaa=1,aaaabb=ab infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [11m11s] # 22205 solved: rounds:1,rules:3,peak:3,longest:8,steps:9,word:6,work:110,nodes:20,pairs:1,completionMax:14us [11m11s] 22205 ab:aaa=1,aaaabb=ba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [11m11s] from: 22205 ab:aaa=1,aaaabb=ba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb a=a,b=b [11m11s] # 22206 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:3us [11m11s] 22206 ab:aaa=1,aaaabb=bb infinite ab - - ab:aaa=1,abb=bb [11m11s] from: 22206 ab:aaa=1,aaaabb=bb infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [11m11s] # 22207 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:10,nodes:10,pairs:2,completionMax:7us [11m11s] 22207 ab:aaa=1,aaabaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 22207 ab:aaa=1,aaabaa=aa finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [11m11s] # 22208 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:17,nodes:6,pairs:0,completionMax:3us [11m11s] 22208 ab:aaa=1,aaabaa=ab infinite a/b - - ab:aaa=1,ab=baa [11m11s] from: 22208 ab:aaa=1,aaabaa=ab infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [11m11s] # 22209 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:6us [11m11s] 22209 ab:aaa=1,aaabaa=ba infinite ab - - ab:ba=b,aaa=1 [11m11s] from: 22209 ab:aaa=1,aaabaa=ba infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [11m11s] # 22210 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:2,work:61,nodes:14,pairs:2,completionMax:12us [11m11s] 22210 ab:aaa=1,aaabaa=bb finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [11m11s] from: 22210 ab:aaa=1,aaabaa=bb finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [11m11s] # 22211 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [11m11s] 22211 ab:aaa=1,aaabab=aa infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 22211 ab:aaa=1,aaabab=aa infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 22212 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:81,nodes:12,pairs:3,completionMax:13us [11m11s] 22212 ab:aaa=1,aaabab=ab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [11m11s] from: 22212 ab:aaa=1,aaabab=ab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [11m11s] # 22213 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:3,completionMax:10us [11m11s] 22213 ab:aaa=1,aaabab=ba finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ba,baab=baa [11m11s] from: 22213 ab:aaa=1,aaabab=ba finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa anti:a=a,b=b [11m11s] # 22214 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:2us [11m11s] 22214 ab:aaa=1,aaabab=bb infinite ab - - ab:aaa=1,bab=bb [11m11s] from: 22214 ab:aaa=1,aaabab=bb infinite to: 8057 ab:aaa=1,abab=abb infinite a=a,b=b [11m11s] # 22215 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:2,work:76,nodes:12,pairs:7,completionMax:24us [11m11s] 22215 ab:aaa=1,aaabba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22215 ab:aaa=1,aaabba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22216 solved: rounds:4,rules:3,peak:7,longest:9,steps:11,word:4,work:919,nodes:34,pairs:16,completionMax:90us [11m11s] 22216 ab:aaa=1,aaabba=ab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [11m11s] from: 22216 ab:aaa=1,aaabba=ab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [11m11s] # 22217 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:10,pairs:1,completionMax:6us [11m11s] 22217 ab:aaa=1,aaabba=ba infinite ab - - ab:bb=b,aaa=1 [11m11s] from: 22217 ab:aaa=1,aaabba=ba infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [11m11s] # 22218 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:10,pairs:0,completionMax:4us [11m11s] 22218 ab:aaa=1,aaabba=bb infinite ab - - ab:aaa=1,bba=bb [11m11s] from: 22218 ab:aaa=1,aaabba=bb infinite to: 2574 ab:aaa=1,aabb=bb infinite anti:a=a,b=b [11m11s] # 22219 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:5,work:78,nodes:20,pairs:5,completionMax:21us [11m11s] 22219 ab:aaa=1,aaabbb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22219 ab:aaa=1,aaabbb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22220 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:31,nodes:18,pairs:1,completionMax:10us [11m11s] 22220 ab:aaa=1,aaabbb=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22220 ab:aaa=1,aaabbb=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22221 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:36,nodes:18,pairs:1,completionMax:10us [11m11s] 22221 ab:aaa=1,aaabbb=ba finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [11m11s] from: 22221 ab:aaa=1,aaabbb=ba finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [11m11s] # 22222 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:3us [11m11s] 22222 ab:aaa=1,aaabbb=bb infinite ab - - ab:aaa=1,bbb=bb [11m11s] from: 22222 ab:aaa=1,aaabbb=bb infinite to: 8071 ab:aaa=1,abbb=abb infinite a=a,b=b [11m11s] # 22223 solved: rounds:3,rules:2,peak:9,longest:7,steps:6,word:4,work:988,nodes:26,pairs:61,completionMax:194us [11m11s] 22223 ab:aaa=1,aabaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22223 ab:aaa=1,aabaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22224 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:181,nodes:18,pairs:10,completionMax:28us [11m11s] 22224 ab:aaa=1,aabaab=ab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [11m11s] from: 22224 ab:aaa=1,aabaab=ab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [11m11s] # 22225 solved: rounds:5,rules:6,peak:8,longest:8,steps:8,word:6,work:2128,nodes:40,pairs:26,completionMax:144us [11m11s] 22225 ab:aaa=1,aabaab=ba finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=ababbb,baba=aabbb,aaa=1 [11m11s] from: 22225 ab:aaa=1,aabaab=ba finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 8078 ab:aaa=1,baab=aba finite:27;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [11m11s] # 22226 solved: rounds:1,rules:3,peak:4,longest:6,steps:4,word:1,work:176,nodes:20,pairs:3,completionMax:20us [11m11s] 22226 ab:aaa=1,aabaab=bb infinite reversed:a/b - - ab:aaa=1,baab=abb,babb=aabbb [11m11s] from: 22226 ab:aaa=1,aabaab=bb infinite to: 8079 ab:aaa=1,baab=abb infinite a=a,b=b [11m11s] # 22227 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:100,nodes:18,pairs:9,completionMax:27us [11m11s] 22227 ab:aaa=1,aababa=aa infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 22227 ab:aaa=1,aababa=aa infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 22228 solved: rounds:3,rules:6,peak:7,longest:7,steps:5,word:2,work:996,nodes:32,pairs:14,completionMax:75us [11m11s] 22228 ab:aaa=1,aababa=ab finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaa=1 [11m11s] from: 22228 ab:aaa=1,aababa=ab finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 2435 ab:aaa=1,ababa=b finite:27;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [11m11s] # 22229 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:0,work:376,nodes:20,pairs:23,completionMax:57us [11m11s] 22229 ab:aaa=1,aababa=ba finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [11m11s] from: 22229 ab:aaa=1,aababa=ba finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [11m11s] # 22230 solved: rounds:7,rules:7,peak:12,longest:19,steps:50,word:6,work:64357,nodes:148,pairs:34,completionMax:1713us [11m11s] 22230 ab:aaa=1,aababa=bb infinite a/b - - ab:aaa=1,abb=baba,aabab=bbaa,ababaab=bbaabaa,abababab=bbaabaabaa,babaabaabaab=bbaabaabaabaa,bbaabaabaabaab=bbbaabaabaaba [11m11s] from: 22230 ab:aaa=1,aababa=bb infinite to: 8060 ab:aaa=1,abab=bba infinite anti:a=a,b=b [11m11s] # 22231 solved: rounds:6,rules:2,peak:4,longest:9,steps:4,word:5,work:250,nodes:18,pairs:13,completionMax:50us [11m11s] 22231 ab:aaa=1,aababb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22231 ab:aaa=1,aababb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22232 solved: rounds:3,rules:4,peak:4,longest:6,steps:2,word:0,work:149,nodes:18,pairs:6,completionMax:24us [11m11s] 22232 ab:aaa=1,aababb=ab infinite ab - - ab:aaa=1,babb=aab,babab=b,babaab=ab [11m11s] from: 22232 ab:aaa=1,aababb=ab infinite to: 2437 ab:aaa=1,ababb=b infinite a=a,b=b [11m11s] # 22233 solved: rounds:6,rules:30,peak:41,longest:18,steps:20,word:13,work:284837,nodes:290,pairs:635,completionMax:12899us [11m11s] 22233 ab:aaa=1,aababb=ba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,aba=babb,baabbbbbb=baa,babbba=abbabb,bbbbbabba=abbbabbbb,aaa=1,aabba=babbbbbabbbb,aabbbba=bbbabbbbabbbbb,aabbbbba=bbaabbbbb,abbaa=bbbbbab,abbbabbbba=bbbbab,abbbabbbbba=bbbbabbabbbb,abbbbaa=bbbbbaab,abbbbbabbbba=bbbbbabbbbbab,babbabba=abbabbbbbabbbb,babbabbbba=abbbbabbbbabbbbb,babbabbbbba=abbbaabbbbb,babbbbbabbbbba=aabbbabb,bbaabbba=abbbbbabbbbbab,bbbabbbbabbbbba=abbbbbaab,bbbabbbbbaa=abbbbabbbbbabbbbb,bbbbabbbbabbbba=abbbabbab,aabbbaa=babbbbabbbbbab,aabbbabba=bbbabbbbabbabbbb,abbabbbbabba=bbabbbbbaabbb,abbabbbbabbbbba=bbabbbbabbabbbbb,abbabbbbbaa=bbabbbbabbbbbabbbb,abbbbabbbbabba=bbabbbbabbbbabb [11m11s] from: 22233 ab:aaa=1,aababb=ba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb to: 8084 ab:aaa=1,babb=aba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb a=a,b=b [11m11s] # 22234 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:255,nodes:18,pairs:6,completionMax:24us [11m11s] 22234 ab:aaa=1,aababb=bb infinite ab - - ab:aaa=1,bbb=bb,babb=abb,baabb=aabb [11m11s] from: 22234 ab:aaa=1,aababb=bb infinite to: 8085 ab:aaa=1,babb=abb infinite a=a,b=b [11m11s] # 22235 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:165,nodes:18,pairs:18,completionMax:53us [11m11s] 22235 ab:aaa=1,aabbaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22235 ab:aaa=1,aabbaa=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22236 solved: rounds:4,rules:3,peak:4,longest:10,steps:9,word:7,work:452,nodes:34,pairs:14,completionMax:62us [11m11s] 22236 ab:aaa=1,aabbaa=ab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [11m11s] from: 22236 ab:aaa=1,aabbaa=ab finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb a=a,b=b [11m11s] # 22237 solved: rounds:1,rules:2,peak:3,longest:6,steps:6,word:2,work:146,nodes:14,pairs:6,completionMax:20us [11m11s] 22237 ab:aaa=1,aabbaa=bb infinite a/b - - ab:aaa=1,abb=bbaa [11m11s] from: 22237 ab:aaa=1,aabbaa=bb infinite to: 2581 ab:aaa=1,abba=bb infinite a=a,b=b [11m11s] # 22238 solved: rounds:5,rules:2,peak:8,longest:19,steps:23,word:15,work:1310,nodes:48,pairs:31,completionMax:116us [11m11s] 22238 ab:aaa=1,aabbab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22238 ab:aaa=1,aabbab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22239 solved: rounds:2,rules:3,peak:5,longest:7,steps:3,word:2,work:148,nodes:24,pairs:6,completionMax:36us [11m11s] 22239 ab:aaa=1,aabbab=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22239 ab:aaa=1,aabbab=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22240 solved: rounds:6,rules:30,peak:42,longest:18,steps:18,word:9,work:256899,nodes:276,pairs:565,completionMax:9662us [11m11s] 22240 ab:aaa=1,aabbab=ba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,bbbabbbbabbbbabba reversed:b/a - - ab:bbbbbbb=b,bbbbbbab=ab,abbbbbb=bbbbbba,aba=bbab,bbbbbbaab=aab,abbbab=bbabba,abbabbbbb=bbbbabbba,aaa=1,abbaa=bbbbabbbbbab,abbbbaa=bbbbbabbbbabbb,abbbbbaa=bbbbbaabb,aabba=babbbbb,abbbbabbba=babbbb,abbbbbabbba=bbbbabbabbbb,aabbbba=baabbbbb,abbbbabbbbba=babbbbbabbbbb,abbabbab=bbbbabbbbbabba,abbbbabbab=bbbbbabbbbabbbba,abbbbbabbab=bbbbbaabbba,abbbbbabbbbbab=bbabbbaa,abbbaabb=babbbbbabbbbba,abbbbbabbbbabbb=baabbbbba,aabbbbbabbb=bbbbbabbbbbabbbba,abbbbabbbbabbbb=babbabbba,aabbbaa=babbbbbabbbbab,abbabbbaa=bbbbabbabbbbabbb,abbabbbbabba=bbbaabbbbbabb,abbbbbabbbbabba=bbbbbabbabbbbabb,aabbbbbabba=bbbbabbbbbabbbbabb,abbabbbbabbbba=bbabbbbabbbbabb [11m11s] from: 22240 ab:aaa=1,aabbab=ba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,bbbabbbbabbbbabba to: 8084 ab:aaa=1,babb=aba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb anti:a=a,b=b [11m11s] # 22241 solved: rounds:2,rules:4,peak:4,longest:10,steps:10,word:8,work:440,nodes:36,pairs:4,completionMax:36us [11m11s] 22241 ab:aaa=1,aabbab=bb infinite reversed:b/a - - ab:bbbbbbbbbb=bbb,abb=bbab,aaa=1,bbababab=bb [11m11s] from: 22241 ab:aaa=1,aabbab=bb infinite to: 8088 ab:aaa=1,babb=bba infinite anti:a=a,b=b [11m11s] # 22242 solved: rounds:4,rules:2,peak:7,longest:9,steps:2,word:5,work:313,nodes:20,pairs:29,completionMax:116us [11m11s] 22242 ab:aaa=1,aabbba=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22242 ab:aaa=1,aabbba=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22243 solved: rounds:4,rules:9,peak:12,longest:27,steps:18,word:19,work:14783,nodes:162,pairs:64,completionMax:726us [11m11s] 22243 ab:aaa=1,aabbba=ab finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb,aaa=1 [11m11s] from: 22243 ab:aaa=1,aabbba=ab finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 2441 ab:aaa=1,abbba=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22244 solved: rounds:3,rules:3,peak:4,longest:7,steps:2,word:2,work:125,nodes:18,pairs:11,completionMax:33us [11m11s] 22244 ab:aaa=1,aabbba=ba finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22244 ab:aaa=1,aabbba=ba finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22245 solved: rounds:4,rules:5,peak:10,longest:23,steps:20,word:16,work:14912,nodes:132,pairs:47,completionMax:764us [11m11s] 22245 ab:aaa=1,aabbba=bb infinite reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bb,bbab=bbbbbbbbbbbbba,abb=bbba,bbaab=bbbbbbbbbaa,aaa=1 [11m11s] from: 22245 ab:aaa=1,aabbba=bb infinite to: 8074 ab:aaa=1,abbb=bba infinite anti:a=a,b=b [11m11s] # 22246 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:11,nodes:18,pairs:2,completionMax:12us [11m11s] 22246 ab:aaa=1,aabbbb=aa infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [11m11s] from: 22246 ab:aaa=1,aabbbb=aa infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [11m11s] # 22247 solved: rounds:3,rules:3,peak:4,longest:10,steps:1,word:5,work:76,nodes:24,pairs:7,completionMax:29us [11m11s] 22247 ab:aaa=1,aabbbb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [11m11s] from: 22247 ab:aaa=1,aabbbb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [11m11s] # 22248 solved: rounds:6,rules:10,peak:19,longest:100,steps:90,word:172,work:801740,nodes:1006,pairs:85,completionMax:75163us [11m11s] 22248 ab:aaa=1,aabbbb=ba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbba=abbbbb,aab=babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aba=bbbb,abba=bbbbabbbb,baa=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,babbba=abbbbabbbbbbbbb,bbbbabbbba=abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1 [11m11s] from: 22248 ab:aaa=1,aabbbb=ba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 8092 ab:aaa=1,bbbb=aba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22249 solved: rounds:2,rules:3,peak:3,longest:8,steps:2,word:2,work:73,nodes:22,pairs:3,completionMax:19us [11m11s] 22249 ab:aaa=1,aabbbb=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbb,aaa=1 [11m11s] from: 22249 ab:aaa=1,aabbbb=bb infinite to: 8093 ab:aaa=1,bbbb=abb infinite a=a,b=b [11m11s] # 22250 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:187,nodes:24,pairs:8,completionMax:44us [11m11s] 22250 ab:aaa=1,abaaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22250 ab:aaa=1,abaaab=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22251 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:10,pairs:1,completionMax:7us [11m11s] 22251 ab:aaa=1,abaaab=ab infinite ab - - ab:bb=b,aaa=1 [11m11s] from: 22251 ab:aaa=1,abaaab=ab infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [11m11s] # 22252 solved: rounds:1,rules:3,peak:3,longest:8,steps:9,word:6,work:112,nodes:20,pairs:1,completionMax:10us [11m11s] 22252 ab:aaa=1,abaaab=ba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [11m11s] from: 22252 ab:aaa=1,abaaab=ba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb a=a,b=b [11m11s] # 22253 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:3us [11m11s] 22253 ab:aaa=1,abaaab=bb infinite ab - - ab:aaa=1,abb=bb [11m11s] from: 22253 ab:aaa=1,abaaab=bb infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [11m11s] # 22254 solved: rounds:2,rules:2,peak:5,longest:8,steps:13,word:3,work:389,nodes:28,pairs:7,completionMax:46us [11m11s] 22254 ab:aaa=1,abaaba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22254 ab:aaa=1,abaaba=aa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22255 solved: rounds:3,rules:4,peak:8,longest:6,steps:3,word:0,work:879,nodes:24,pairs:34,completionMax:96us [11m11s] 22255 ab:aaa=1,abaaba=ab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ba,baab=baa [11m11s] from: 22255 ab:aaa=1,abaaba=ab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa anti:a=a,b=b [11m11s] # 22256 solved: rounds:1,rules:4,peak:5,longest:6,steps:8,word:4,work:221,nodes:21,pairs:12,completionMax:56us [11m11s] 22256 ab:aaa=1,abaaba=bb infinite c/ab aa=c frequency:2/1 abc:ccc=1,a=cc,cbb=bcbcc,ccbcb=bbc [11m11s] from: 22256 ab:aaa=1,abaaba=bb infinite to: 8066 ab:aaa=1,abba=bab infinite a=aa,b=b,c=a [11m11s] # 22257 solved: rounds:4,rules:2,peak:6,longest:9,steps:9,word:10,work:811,nodes:32,pairs:13,completionMax:69us [11m11s] 22257 ab:aaa=1,abaabb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22257 ab:aaa=1,abaabb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22258 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:25,nodes:22,pairs:1,completionMax:9us [11m11s] 22258 ab:aaa=1,abaabb=ab infinite ab - - ab:aaa=1,baabb=b [11m11s] from: 22258 ab:aaa=1,abaabb=ab infinite to: 2447 ab:aaa=1,baabb=b infinite a=a,b=b [11m11s] # 22259 solved: rounds:6,rules:22,peak:37,longest:14,steps:10,word:8,work:108184,nodes:190,pairs:728,completionMax:9675us [11m11s] 22259 ab:aaa=1,abaabb=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbbbbba=abbbbbb,abbbba=bbbbbab,baabbbbbb=baa,babbba=abbbbbabbbbb,bbabba=aabbbb,bbabbbbba=abbbabbbb,bbbaba=ababbb,bbbbaa=abbabb,aaa=1,aaba=baabb,aabba=bbabab,aabbbbba=bbbbabbbbb,abaa=babbbb,ababa=bbbaab,ababba=bbaabbb,ababbbbba=babbabbbbb,abbaa=babbbbbabbbb,abbaba=bbabbbbb,baabbba=abbbaab,aabbbaa=bababbbbb [11m11s] # 22260 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:242,nodes:22,pairs:5,completionMax:21us [11m11s] 22260 ab:aaa=1,abaabb=bb infinite ab - - ab:aaa=1,bbb=bb,babb=abb,baabb=aabb [11m11s] from: 22260 ab:aaa=1,abaabb=bb infinite to: 8085 ab:aaa=1,babb=abb infinite a=a,b=b [11m11s] # 22261 solved: rounds:4,rules:2,peak:6,longest:9,steps:7,word:5,work:669,nodes:22,pairs:26,completionMax:91us [11m11s] 22261 ab:aaa=1,ababab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22261 ab:aaa=1,ababab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22262 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:47,nodes:22,pairs:1,completionMax:11us [11m11s] 22262 ab:aaa=1,ababab=ab infinite ab - - ab:aaa=1,babab=b [11m11s] from: 22262 ab:aaa=1,ababab=ab infinite to: 2449 ab:aaa=1,babab=b infinite a=a,b=b [11m11s] # 22263 solved: rounds:5,rules:10,peak:18,longest:11,steps:15,word:8,work:17591,nodes:80,pairs:70,completionMax:661us [11m11s] 22263 ab:aaa=1,ababab=ba finite:81;idempotents:1,bbbbbb;center:1,bbb,bbbbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbba=abbb,baa=abbabbbbb,bbabba=aabbbb,aaa=1,aaba=babab,ababa=babbbbb,ababba=bbababb,aabbaba=babbabbbb [11m11s] # 22264 solved: rounds:3,rules:7,peak:8,longest:11,steps:14,word:4,work:4862,nodes:68,pairs:11,completionMax:197us [11m11s] 22264 ab:aaa=1,ababab=bb infinite b/a - - ab:bbbbbbbb=bbbb,babbbbbbb=babbb,bbab=abbb,baabb=ababbb,babab=aabb,aaa=1,baababbb=aababbbbbb [11m11s] # 22265 solved: rounds:4,rules:2,peak:5,longest:9,steps:7,word:5,work:480,nodes:22,pairs:25,completionMax:74us [11m11s] 22265 ab:aaa=1,ababba=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22265 ab:aaa=1,ababba=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22266 solved: rounds:3,rules:3,peak:7,longest:9,steps:5,word:2,work:894,nodes:38,pairs:19,completionMax:91us [11m11s] 22266 ab:aaa=1,ababba=ab finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [11m11s] from: 22266 ab:aaa=1,ababba=ab finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [11m11s] # 22267 solved: rounds:3,rules:4,peak:5,longest:7,steps:2,word:0,work:443,nodes:26,pairs:21,completionMax:53us [11m11s] 22267 ab:aaa=1,ababba=ba infinite ab - - ab:aaa=1,babb=aab,babab=b,babaab=ab [11m11s] from: 22267 ab:aaa=1,ababba=ba infinite to: 2437 ab:aaa=1,ababb=b infinite a=a,b=b [11m11s] # 22268 solved: rounds:1,rules:3,peak:4,longest:6,steps:3,word:1,work:69,nodes:22,pairs:3,completionMax:14us [11m11s] 22268 ab:aaa=1,ababba=bb infinite reversed:b/a - - ab:aabb=babba,ababb=bbaa,aaa=1 [11m11s] # 22269 solved: rounds:5,rules:3,peak:15,longest:30,steps:18,word:44,work:20014,nodes:114,pairs:85,completionMax:1006us [11m11s] 22269 ab:aaa=1,ababbb=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ab=bbbbbbbbba,aaa=1 [11m11s] from: 22269 ab:aaa=1,ababbb=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22270 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:25,nodes:22,pairs:1,completionMax:7us [11m11s] 22270 ab:aaa=1,ababbb=ab infinite ab - - ab:aaa=1,babbb=b [11m11s] from: 22270 ab:aaa=1,ababbb=ab infinite to: 2451 ab:aaa=1,babbb=b infinite a=a,b=b [11m11s] 22271 ab:aaa=1,ababbb=ba hard possibly-finite [11m11s] # 22272 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:13,nodes:16,pairs:1,completionMax:7us [11m11s] 22272 ab:aaa=1,ababbb=bb infinite b/a - - ab:aabb=babbb,ababbb=bb,aaa=1 [11m11s] # 22273 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:10,work:787,nodes:28,pairs:39,completionMax:124us [11m11s] 22273 ab:aaa=1,abbaab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22273 ab:aaa=1,abbaab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22274 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:47,nodes:22,pairs:1,completionMax:10us [11m11s] 22274 ab:aaa=1,abbaab=ab infinite ab - - ab:aaa=1,bbaab=b [11m11s] from: 22274 ab:aaa=1,abbaab=ab infinite to: 2447 ab:aaa=1,baabb=b infinite anti:a=a,b=b [11m11s] # 22275 solved: rounds:10,rules:84,peak:90,longest:9,steps:41,word:12,work:768970,nodes:500,pairs:1440,completionMax:28712us [11m11s] 22275 ab:aaa=1,abbaab=ba infinite reversed:dc/a/b aa=c,bccb=d frequency:2/2,4/0 abcd:ccc=1,dddc=cddd,dcdc=ccdd,ddcc=cdcd,a=cc,ddbc=cdbd,dcbc=ccbd,bdc=ccdbdd,bcc=ccdbcd,dbddd=cddcb,dbcdd=cdccb,dbddc=ccdcb,ddcbddc=cdcbddd,dccbddc=bddd,dbcdc=cb,dccbcdc=bcdd,dbddb=ccdcd,dbcdb=cd,dbdbd=cddbb,dbcbd=cdcbb,bbc=ccdbbd,dbdbc=ccdbb,ddcbdbc=cdcbdbd,dccbdbc=bdbd,dbcbc=bb,dccbcbc=bcbd,dbbdd=ccbcb,bddbdd=cdcddc,bcdbdd=ddc,bcdbcd=dcc,ddcbbddd=cdcbddcb,dccbbddd=bddcb,dcbbddc=ccbbddd,dccbbddc=bcdcb,bcbddc=dcbbdd,bcbcdc=ccbbdd,dbdbb=ccdbd,dbcbb=bd,dbbdb=cdbcd,ddcbbddb=bddcd,dccbbddb=bcdcd,dbbbd=ccbbb,bddbbd=cdcdbc,bcdbbd=dbc,ddcbbdbd=cdcbddbb,dccbbdbd=bddbb,dcbbdbc=ccbbdbd,dccbbdbc=bcdbb,bcbdbc=dcbbbd,bcbcbc=ccbbbd,ddcbbbdd=bdbcb,dccbbbdd=bcbcb,bcbbdd=ccbddc,bbdbdd=cdccbc,bbdbcd=cbc,dcbbbddd=ccbbddcb,bbbddc=cbbbdd,dbbbb=cdbbd,ddcbbdbb=bddbd,dccbbdbb=bcdbd,ddcbbbdb=cdcbdbcd,dccbbbdb=bdbcd,dcbbbddb=bcbcd,ddcbbbbd=bdbbb,dccbbbbd=bcbbb,bcbbbd=ccbdbc,bbdbbd=cdc,dcbbbdbd=ccbbddbb,bcbbdbd=dcbbdbb,bbbdbc=cbbbbd,bcbbdbc=ccbbdbb,bbbbdd=ccbcbc,ddcbbbbb=cdcbdbbd,dccbbbbb=bdbbd,dcbbbdbb=bcbbd,bcbbdbb=ccbbdbd,dcbbbbdb=bc,bbbbbd=ccb,bcbbbbd=ccbbbbb,bbbbdbd=cbbbdbb,dcbbbbbb=dc,bcbbbbb=dcbbbbd,bbbbdbb=ccbbbbd,bbbbbbb=b [11m11s] # 22276 solved: rounds:2,rules:5,peak:6,longest:11,steps:11,word:5,work:1523,nodes:54,pairs:9,completionMax:99us [11m11s] 22276 ab:aaa=1,abbaab=bb infinite b/a - - ab:bbbbbbbbbb=bbb,babb=abbbb,baabb=aabbbbbb,bbaab=aabb,aaa=1 [11m11s] # 22277 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:210,nodes:22,pairs:12,completionMax:49us [11m11s] 22277 ab:aaa=1,abbabb=aa infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [11m11s] from: 22277 ab:aaa=1,abbabb=aa infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [11m11s] # 22278 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:487,nodes:26,pairs:11,completionMax:64us [11m11s] 22278 ab:aaa=1,abbabb=ab infinite ab - - ab:aaa=1,bbab=babb,babbb=b [11m11s] from: 22278 ab:aaa=1,abbabb=ab infinite to: 2453 ab:aaa=1,bbabb=b infinite a=a,b=b [11m11s] # 22279 solved: rounds:6,rules:17,peak:40,longest:15,steps:13,word:14,work:220723,nodes:258,pairs:885,completionMax:11355us [11m11s] 22279 ab:aaa=1,abbabb=ba finite:174;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb reversed:b/a - - ab:bbbbbbbbbb=b,bbbbbbbbbab=ab,abbbbbbbbb=bbbbbbbbba,aba=bbbbabbb,abba=babbbbbbb,abbbba=bbabbbbbbbb,abbbbba=bbbbbbabbbbb,aab=bbbabbbbbbba,abbbab=bbbbbbbabbbbbba,abbbbbbbab=bbbbbabbba,abbbbbbabbb=babbbbbbbba,abbbbbbbbabbb=bbaa,aaa=1,abbbaa=bbbbbab,abbbbbbaa=bbbbbabbbbbbab,abbbbbbbaa=bbbbbbbbabb,abbbbbbbbaa=bbbbbbbabbbb [11m11s] # 22280 solved: rounds:2,rules:3,peak:5,longest:8,steps:6,word:2,work:529,nodes:28,pairs:11,completionMax:46us [11m11s] 22280 ab:aaa=1,abbabb=bb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbb,aaa=1 [11m11s] from: 22280 ab:aaa=1,abbabb=bb infinite to: 8093 ab:aaa=1,bbbb=abb infinite a=a,b=b [11m11s] # 22281 solved: rounds:4,rules:3,peak:8,longest:30,steps:21,word:24,work:7628,nodes:124,pairs:44,completionMax:446us [11m11s] 22281 ab:aaa=1,abbbab=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbb,aaa=1 [11m11s] from: 22281 ab:aaa=1,abbbab=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 22282 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:47,nodes:22,pairs:1,completionMax:8us [11m11s] 22282 ab:aaa=1,abbbab=ab infinite ab - - ab:aaa=1,bbbab=b [11m11s] from: 22282 ab:aaa=1,abbbab=ab infinite to: 2451 ab:aaa=1,babbb=b infinite anti:a=a,b=b [11m11s] # 22283 solved: rounds:8,rules:50,peak:51,longest:22,steps:18,word:23,work:857779,nodes:444,pairs:2698,completionMax:62917us [11m11s] 22283 ab:aaa=1,abbbab=ba finite:660;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,babbbbbbbbb=ba,bbbbbbbbba=abbbbbbbbb,abbba=babbbbbbbb,baabbbbbbbbb=baa,babba=abbbbabbbbbbbb,bbaba=abbbbbabbbbbbb,bbbaa=abbbbbbabbbbbb,bbbbabbbbbbbba=abbbbbbbabbbbb,bbbbbabbbbbbba=abbbbbbbbabbbb,bbbbbbabbbbbba=aabbb,bbbbbbbabbbbba=ababb,bbbbbbbbabbbba=abbab,aaa=1,aaba=bbbab,aabba=bbbabbbbab,aabbbbbba=babbbbbbbbabbb,aabbbbbbbba=bbbbbabbbbbbabbb,abaa=bbbabbbbbbabbbbbbb,ababbbba=bbabbbbbabbbb,ababbbbba=baabb,ababbbbbbbba=bbbbbbabbbbbb,abbabbbba=babab,abbabbbbba=bbbabbbbbabbbbb,abbabbbbbbba=bbbbbbabbbbabbbbb,abbbbabbbba=bbbbabbbbbabbbbb,abbbbabbbbbba=bbbbbbbabbbbabbbbb,abbbbbabbbbbba=bbbbbbbbabbbbbb,abbbbbbabbbbba=bbaabbbbbb,baabbbba=abbbbbabbbbbabbbb,baabbbbba=ababbbbbbabbbbbbbb,bababbbbbbba=aabbbbabbbbb,babbbbabbbbbbba=abbaab,babbbbbabbbbba=abbabbbbbbabbb,babbbbbbbabbbba=abbbbbbabbbbabb,bbaabbbbbbba=abbbbbbbabbbbabbbbbbb,bbbabbbbabbbbba=ababab,bbbabbbbbbabbbba=abbabbbbbbbbabbb,bbbbbbabbbbbabbbba=aabbbbbab,aabbbbabbbbba=bbbbabbbbabbbb,aabbbbabbbbbbba=bbbbbabbbbbabbbbabbb,aabbbbbabbbba=babababbb,aabbbbbabbbbba=bbbabbbbbabbbbabbbb,aabbbbbbbabbbba=bbbbabbbbbbabbbb,abababa=bbbbbabbbbabbbbbb,abababbbbbba=bbabbbbbabbbbabbb,ababbbbbbabbbba=bbbbabbbbbabbbbabbbb,abbabbbbbbabbbba=babbbbbbabbbbabbbbbbb,abbbbabbbbbabbbba=bbabbbbbbabbbbabbbbbbb,abbbbbabbbbbabbbba=bbbbabbbbbbbabbbbbb [11m11s] # 22284 solved: rounds:6,rules:10,peak:16,longest:33,steps:22,word:38,work:71208,nodes:298,pairs:47,completionMax:2182us [11m11s] 22284 ab:aaa=1,abbbab=bb infinite reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bbbbbbbbbbbbbbbbbbbbbbbbabb=abb,abbbbb=bbbbab,abbab=bbbbbbbbbbbbbbbbbbbbbabb,abbbab=bb,abbbbab=bbbabbbb,aabb=bbbab,ababb=bbbbbbbabab,aaa=1,bbababab=bbbbbbbbbbbbabbb [11m11s] # 22285 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:66,nodes:22,pairs:4,completionMax:27us [11m11s] 22285 ab:aaa=1,abbbba=aa infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bbbb=1 [11m11s] from: 22285 ab:aaa=1,abbbba=aa infinite;group:a-aa,b-bbb to: 172 ab:aaa=1,bbbb=1 infinite;group:a-aa,b-bbb a=a,b=b [11m11s] # 22286 solved: rounds:4,rules:3,peak:6,longest:12,steps:2,word:5,work:619,nodes:34,pairs:19,completionMax:118us [11m11s] 22286 ab:aaa=1,abbbba=ab finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aaa=1 [11m11s] from: 22286 ab:aaa=1,abbbba=ab finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb anti:a=a,b=b [11m11s] # 22287 solved: rounds:5,rules:24,peak:33,longest:9,steps:17,word:11,work:44067,nodes:153,pairs:294,completionMax:1908us [11m11s] 22287 ab:aaa=1,abbbba=bb infinite c/a/b abb=c frequency:3/0 abc:cccc=c,caccc=ca,ccca=accc,acca=ccacc,caaccc=caa,caca=acac,aaa=1,aaca=ccaac,acaa=caacc,cbccc=cb,cbaccc=cba,cbaaccc=cbaa,cccb=bccc,abc=cbccac,abac=cbccaac,abaac=cb,accb=ccbcacc,cab=ccbcca,cacb=acbcaacc,aacb=baac,caab=acbaac,bb=aac,cbab=cbcbcca,cbaab=cbacbcca [11m11s] # 22288 solved: rounds:2,rules:2,peak:5,longest:20,steps:2,word:8,work:704,nodes:60,pairs:8,completionMax:85us [11m11s] 22288 ab:aaa=1,abbbbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [11m11s] from: 22288 ab:aaa=1,abbbbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [11m11s] # 22289 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:25,nodes:22,pairs:1,completionMax:18us [11m11s] 22289 ab:aaa=1,abbbbb=ab infinite ab - - ab:aaa=1,bbbbb=b [11m11s] from: 22289 ab:aaa=1,abbbbb=ab infinite to: 2455 ab:aaa=1,bbbbb=b infinite a=a,b=b [11m11s] # 22290 solved: rounds:1,rules:3,peak:3,longest:125,steps:129,word:120,work:9434,nodes:254,pairs:1,completionMax:2928us [11m11s] 22290 ab:aaa=1,abbbbb=ba finite:375;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbb,aaa=1 [11m11s] # 22291 solved: rounds:3,rules:3,peak:4,longest:11,steps:1,word:5,work:114,nodes:28,pairs:5,completionMax:28us [11m11s] 22291 ab:aaa=1,abbbbb=bb infinite b/a - - ab:bbbbbbbbbbb=bb,abb=bbbbbbbb,aaa=1 [11m11s] # 22292 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:4us [11m11s] 22292 ab:aaa=1,baaaab=aa infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 22292 ab:aaa=1,baaaab=aa infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 22293 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:82,nodes:12,pairs:3,completionMax:13us [11m11s] 22293 ab:aaa=1,baaaab=ab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [11m11s] from: 22293 ab:aaa=1,baaaab=ab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [11m11s] # 22294 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [11m11s] 22294 ab:aaa=1,baaaab=bb infinite ab - - ab:aaa=1,bab=bb [11m11s] from: 22294 ab:aaa=1,baaaab=bb infinite to: 8057 ab:aaa=1,abab=abb infinite a=a,b=b [11m11s] # 22295 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:5,work:79,nodes:20,pairs:5,completionMax:22us [11m11s] 22295 ab:aaa=1,baaabb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22295 ab:aaa=1,baaabb=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22296 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:32,nodes:18,pairs:1,completionMax:12us [11m11s] 22296 ab:aaa=1,baaabb=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22296 ab:aaa=1,baaabb=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22297 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:37,nodes:18,pairs:1,completionMax:11us [11m11s] 22297 ab:aaa=1,baaabb=ba finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [11m11s] from: 22297 ab:aaa=1,baaabb=ba finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [11m11s] # 22298 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:4us [11m11s] 22298 ab:aaa=1,baaabb=bb infinite ab - - ab:aaa=1,bbb=bb [11m11s] from: 22298 ab:aaa=1,baaabb=bb infinite to: 8071 ab:aaa=1,abbb=abb infinite a=a,b=b [11m11s] # 22299 solved: rounds:5,rules:2,peak:5,longest:9,steps:6,word:5,work:510,nodes:24,pairs:13,completionMax:48us [11m11s] 22299 ab:aaa=1,baabab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22299 ab:aaa=1,baabab=aa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22300 solved: rounds:3,rules:3,peak:6,longest:7,steps:4,word:3,work:650,nodes:30,pairs:20,completionMax:74us [11m11s] 22300 ab:aaa=1,baabab=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22300 ab:aaa=1,baabab=ab finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22301 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:109,nodes:24,pairs:3,completionMax:14us [11m11s] 22301 ab:aaa=1,baabab=ba infinite ab - - ab:aaa=1,bbab=baa,babab=b,baabab=ba [11m11s] from: 22301 ab:aaa=1,baabab=ba infinite to: 2437 ab:aaa=1,ababb=b infinite anti:a=a,b=b [11m11s] # 22302 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:16,pairs:0,completionMax:4us [11m11s] 22302 ab:aaa=1,baabab=bb infinite ab - - ab:aaa=1,baabab=bb [11m11s] # 22303 solved: rounds:4,rules:3,peak:10,longest:37,steps:112,word:57,work:65869,nodes:220,pairs:31,completionMax:2380us [11m11s] 22303 ab:aaa=1,baabbb=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbb,aaa=1 [11m11s] from: 22303 ab:aaa=1,baabbb=aa finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb anti:a=a,b=b [11m11s] # 22304 solved: rounds:6,rules:3,peak:9,longest:11,steps:6,word:5,work:1947,nodes:34,pairs:31,completionMax:183us [11m11s] 22304 ab:aaa=1,baabbb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [11m11s] from: 22304 ab:aaa=1,baabbb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [11m11s] # 22305 solved: rounds:2,rules:3,peak:4,longest:10,steps:4,word:10,work:153,nodes:26,pairs:5,completionMax:25us [11m11s] 22305 ab:aaa=1,baabbb=ba finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aaa=1 [11m11s] from: 22305 ab:aaa=1,baabbb=ba finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb anti:a=a,b=b [11m11s] # 22306 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:16,pairs:0,completionMax:4us [11m11s] 22306 ab:aaa=1,baabbb=bb infinite ab - - ab:aaa=1,baabbb=bb [11m11s] # 22307 solved: rounds:4,rules:3,peak:9,longest:7,steps:7,word:0,work:1333,nodes:26,pairs:37,completionMax:135us [11m11s] 22307 ab:aaa=1,bababb=aa finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [11m11s] from: 22307 ab:aaa=1,bababb=aa finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [11m11s] # 22308 solved: rounds:4,rules:3,peak:9,longest:10,steps:9,word:5,work:1656,nodes:30,pairs:39,completionMax:139us [11m11s] 22308 ab:aaa=1,bababb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [11m11s] from: 22308 ab:aaa=1,bababb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [11m11s] # 22309 solved: rounds:5,rules:3,peak:11,longest:17,steps:23,word:11,work:9427,nodes:54,pairs:43,completionMax:470us [11m11s] 22309 ab:aaa=1,bababb=ba finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=bbbbbbb,aaa=1 [11m11s] from: 22309 ab:aaa=1,bababb=ba finite:30;idempotents:1,abbb,aabbbbbb,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb anti:a=a,b=b [11m11s] # 22310 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:16,pairs:0,completionMax:3us [11m11s] 22310 ab:aaa=1,bababb=bb infinite ab - - ab:aaa=1,bababb=bb [11m11s] # 22311 solved: rounds:3,rules:3,peak:8,longest:6,steps:6,word:0,work:1241,nodes:24,pairs:29,completionMax:85us [11m11s] 22311 ab:aaa=1,babbab=aa finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb ab - - ab:ba=ab,aaa=1,bbbb=1 [11m11s] from: 22311 ab:aaa=1,babbab=aa finite:12;center:1,a,b,aa,ab,bb,aab,abb,bbb,aabb,abbb,aabbb;commutative:ab:a3=1,b4=1;saturation:ab:b3=1,a4=1;cancellative;smith:12;group:a-aa,b-bbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=bbbbbbbbb [11m11s] # 22312 solved: rounds:4,rules:3,peak:10,longest:10,steps:7,word:5,work:3124,nodes:40,pairs:49,completionMax:226us [11m11s] 22312 ab:aaa=1,babbab=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [11m11s] from: 22312 ab:aaa=1,babbab=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [11m11s] # 22313 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:91,nodes:22,pairs:1,completionMax:11us [11m11s] 22313 ab:aaa=1,babbab=bb infinite ab - - ab:aaa=1,bbbab=babbb,babbab=bb [11m11s] # 22314 solved: rounds:4,rules:5,peak:10,longest:33,steps:12,word:27,work:12078,nodes:152,pairs:33,completionMax:361us [11m11s] 22314 ab:aaa=1,babbbb=aa finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=babbbb,aba=bbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbabbbbbbbbbbbbbbbbbbbb [11m11s] from: 22314 ab:aaa=1,babbbb=aa finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22315 solved: rounds:5,rules:4,peak:24,longest:57,steps:53,word:52,work:130297,nodes:188,pairs:51,completionMax:3562us [11m11s] 22315 ab:aaa=1,babbbb=ab finite:255;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,aabbbbbbbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbbbbbbbaa b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,bab=abbbbbbbbbbbbbbbbbbbbbbbbbb,baab=aabbbbbbbbbb,aaa=1 [11m11s] # 22316 solved: rounds:2,rules:4,peak:4,longest:7,steps:2,word:0,work:120,nodes:30,pairs:3,completionMax:20us [11m11s] 22316 ab:aaa=1,babbbb=ba infinite ab - - ab:aaa=1,bbbbb=b,babbbb=ba,baabbbb=baa [11m11s] # 22317 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:13,nodes:16,pairs:0,completionMax:4us [11m11s] 22317 ab:aaa=1,babbbb=bb infinite ab - - ab:aaa=1,babbbb=bb [11m11s] # 22318 solved: rounds:2,rules:3,peak:3,longest:6,steps:4,word:0,work:123,nodes:16,pairs:5,completionMax:20us [11m11s] 22318 ab:aaa=1,bbaabb=aa infinite;group:a-aa,b-bbb ab - - ab:aaa=1,bba=abb,bbbb=1 [11m11s] from: 22318 ab:aaa=1,bbaabb=aa infinite;group:a-aa,b-bbb to: 2452 ab:aaa=1,bbabb=a infinite;group:a-aa,b-bbb a=a,b=b [11m11s] # 22319 solved: rounds:5,rules:3,peak:6,longest:10,steps:5,word:5,work:861,nodes:30,pairs:24,completionMax:93us [11m11s] 22319 ab:aaa=1,bbaabb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbbbbb,aaa=1 [11m11s] from: 22319 ab:aaa=1,bbaabb=ab finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=b [11m11s] # 22320 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:25,nodes:16,pairs:0,completionMax:5us [11m11s] 22320 ab:aaa=1,bbaabb=bb infinite ab - - ab:aaa=1,bbaabb=bb [11m11s] # 22321 solved: rounds:3,rules:2,peak:9,longest:15,steps:11,word:12,work:5548,nodes:46,pairs:79,completionMax:344us [11m11s] 22321 ab:aaa=1,bbabbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,a=bbbbb [11m11s] from: 22321 ab:aaa=1,bbabbb=aa finite:15;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb;commutative:ab:b15=1,a=b5;saturation:a:a15=1;cancellative;smith:15;group:a-bbbbbbbbbb,b-bbbbbbbbbbbbbb to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaa,b=a [11m11s] # 22322 solved: rounds:3,rules:4,peak:9,longest:7,steps:7,word:0,work:3381,nodes:34,pairs:38,completionMax:154us [11m11s] 22322 ab:aaa=1,bbabbb=ab infinite ab - - ab:aaa=1,bbab=abbb,bbaab=aabbb,bbbbb=b [11m11s] # 22323 solved: rounds:5,rules:4,peak:22,longest:37,steps:41,word:152,work:262729,nodes:248,pairs:138,completionMax:6773us [11m11s] 22323 ab:aaa=1,bbabbb=ba finite:255;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,aabbbbbbbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbbbbbbbaa reversed:b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,bab=bbbbbbbbbba,baab=bbbbbbbbbbbbbbbbbbbbbbbbbbaa,aaa=1 [11m11s] # 22324 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:25,nodes:16,pairs:0,completionMax:5us [11m11s] 22324 ab:aaa=1,bbabbb=bb infinite ab - - ab:aaa=1,bbabbb=bb [11m11s] # 22325 solved: rounds:1,rules:2,peak:3,longest:18,steps:2,word:11,work:135,nodes:38,pairs:5,completionMax:36us [11m11s] 22325 ab:aaa=1,bbbbbb=aa finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbb=1,a=bbbbbbbbbbbb [11m11s] from: 22325 ab:aaa=1,bbbbbb=aa finite:18;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbb;commutative:ab:b18=1,a=b12;saturation:a:a18=1;cancellative;smith:18;group:a-bbbbbb,b-bbbbbbbbbbbbbbbbb to: 5521 ab:aaab=1,bbbbbb=1 finite:18;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaa;commutative:ab:a18=1,b=a15;saturation:a:a18=1;cancellative;smith:18;group:a-aaaaaaaaaaaaaaaaa,b-aaa a=aaaaaaaaaaaa,b=a [11m11s] # 22326 solved: rounds:1,rules:3,peak:3,longest:16,steps:2,word:8,work:55,nodes:36,pairs:1,completionMax:17us [11m11s] 22326 ab:aaa=1,bbbbbb=ab finite:48;idempotents:1,bbbbbaa,bbbbbbbbbba,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ab=bbbbbb,aaa=1 [11m11s] # 22327 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:16,pairs:0,completionMax:11us [11m11s] 22327 ab:aaa=1,bbbbbb=bb infinite ab - - ab:aaa=1,bbbbbb=bb [11m11s] # 22328 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:1,work:73,nodes:12,pairs:4,completionMax:22us [11m11s] 22328 ab:aab=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22328 ab:aab=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22329 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:7,nodes:14,pairs:2,completionMax:11us [11m11s] 22329 ab:aab=1,aaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22329 ab:aab=1,aaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22330 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:4,work:73,nodes:18,pairs:4,completionMax:27us [11m11s] 22330 ab:aab=1,aaaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22330 ab:aab=1,aaaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22331 solved: rounds:2,rules:2,peak:4,longest:14,steps:2,word:7,work:335,nodes:30,pairs:5,completionMax:46us [11m11s] 22331 ab:aab=1,aaaaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 22331 ab:aab=1,aaaaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 22332 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:46,nodes:6,pairs:4,completionMax:9us [11m11s] 22332 ab:aab=1,aaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22332 ab:aab=1,aaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22333 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:10,nodes:8,pairs:2,completionMax:7us [11m11s] 22333 ab:aab=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22333 ab:aab=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22334 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:52,nodes:12,pairs:4,completionMax:14us [11m11s] 22334 ab:aab=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22334 ab:aab=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22335 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:82,nodes:18,pairs:4,completionMax:25us [11m11s] 22335 ab:aab=1,aaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22335 ab:aab=1,aaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22336 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:45,nodes:6,pairs:4,completionMax:9us [11m11s] 22336 ab:aab=1,aaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22336 ab:aab=1,aaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22337 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:6us [11m11s] 22337 ab:aab=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22337 ab:aab=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22338 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:51,nodes:12,pairs:4,completionMax:20us [11m11s] 22338 ab:aab=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22338 ab:aab=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22339 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:81,nodes:18,pairs:4,completionMax:27us [11m11s] 22339 ab:aab=1,aaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22339 ab:aab=1,aaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22340 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:2,completionMax:4us [11m11s] 22340 ab:aab=1,aaaabb=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22340 ab:aab=1,aaaabb=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22341 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:5us [11m11s] 22341 ab:aab=1,aaaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22341 ab:aab=1,aaaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22342 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:19us [11m11s] 22342 ab:aab=1,aaaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22342 ab:aab=1,aaaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22343 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:16,nodes:8,pairs:3,completionMax:10us [11m11s] 22343 ab:aab=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22343 ab:aab=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22344 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:44,nodes:6,pairs:4,completionMax:9us [11m11s] 22344 ab:aab=1,aaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22344 ab:aab=1,aaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22345 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:7us [11m11s] 22345 ab:aab=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22345 ab:aab=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22346 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:50,nodes:12,pairs:4,completionMax:17us [11m11s] 22346 ab:aab=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22346 ab:aab=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22347 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:80,nodes:18,pairs:4,completionMax:27us [11m11s] 22347 ab:aab=1,aaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22347 ab:aab=1,aaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22348 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:2,completionMax:4us [11m11s] 22348 ab:aab=1,aaabab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22348 ab:aab=1,aaabab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22349 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:2,completionMax:4us [11m11s] 22349 ab:aab=1,aaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22349 ab:aab=1,aaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22350 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:18us [11m11s] 22350 ab:aab=1,aaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22350 ab:aab=1,aaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22351 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:15,nodes:8,pairs:3,completionMax:9us [11m11s] 22351 ab:aab=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22351 ab:aab=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22352 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:62,nodes:8,pairs:7,completionMax:20us [11m11s] 22352 ab:aab=1,aaabba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22352 ab:aab=1,aaabba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22353 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:39,nodes:10,pairs:5,completionMax:13us [11m11s] 22353 ab:aab=1,aaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22353 ab:aab=1,aaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22354 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:77,nodes:10,pairs:12,completionMax:22us [11m11s] 22354 ab:aab=1,aaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22354 ab:aab=1,aaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22355 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:30,nodes:8,pairs:4,completionMax:10us [11m11s] 22355 ab:aab=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22355 ab:aab=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22356 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:16,nodes:10,pairs:3,completionMax:9us [11m11s] 22356 ab:aab=1,aaabbb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22356 ab:aab=1,aaabbb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22357 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:5us [11m11s] 22357 ab:aab=1,aaabbb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22357 ab:aab=1,aaabbb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22358 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:126,nodes:12,pairs:19,completionMax:30us [11m11s] 22358 ab:aab=1,aaabbb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22358 ab:aab=1,aaabbb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22359 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:10,pairs:3,completionMax:9us [11m11s] 22359 ab:aab=1,aaabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22359 ab:aab=1,aaabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22360 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:43,nodes:6,pairs:4,completionMax:8us [11m11s] 22360 ab:aab=1,aabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22360 ab:aab=1,aabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22361 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:6us [11m11s] 22361 ab:aab=1,aabaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22361 ab:aab=1,aabaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22362 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:49,nodes:12,pairs:4,completionMax:15us [11m11s] 22362 ab:aab=1,aabaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22362 ab:aab=1,aabaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22363 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:79,nodes:18,pairs:4,completionMax:21us [11m11s] 22363 ab:aab=1,aabaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22363 ab:aab=1,aabaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22364 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:2,completionMax:4us [11m11s] 22364 ab:aab=1,aabaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22364 ab:aab=1,aabaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22365 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:2,completionMax:7us [11m11s] 22365 ab:aab=1,aabaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22365 ab:aab=1,aabaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22366 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:19us [11m11s] 22366 ab:aab=1,aabaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22366 ab:aab=1,aabaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22367 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:14,nodes:8,pairs:3,completionMax:11us [11m11s] 22367 ab:aab=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22367 ab:aab=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22368 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:61,nodes:8,pairs:7,completionMax:23us [11m11s] 22368 ab:aab=1,aababa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22368 ab:aab=1,aababa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22369 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:38,nodes:10,pairs:5,completionMax:14us [11m11s] 22369 ab:aab=1,aababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22369 ab:aab=1,aababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22370 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:76,nodes:10,pairs:12,completionMax:18us [11m11s] 22370 ab:aab=1,aababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22370 ab:aab=1,aababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22371 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:29,nodes:8,pairs:4,completionMax:14us [11m11s] 22371 ab:aab=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22371 ab:aab=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22372 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:15,nodes:10,pairs:3,completionMax:10us [11m11s] 22372 ab:aab=1,aababb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22372 ab:aab=1,aababb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22373 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:8,pairs:2,completionMax:9us [11m11s] 22373 ab:aab=1,aababb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22373 ab:aab=1,aababb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22374 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:125,nodes:12,pairs:19,completionMax:35us [11m11s] 22374 ab:aab=1,aababb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22374 ab:aab=1,aababb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22375 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:10,pairs:3,completionMax:8us [11m11s] 22375 ab:aab=1,aababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22375 ab:aab=1,aababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22376 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:60,nodes:12,pairs:6,completionMax:16us [11m11s] 22376 ab:aab=1,aabbaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22376 ab:aab=1,aabbaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22377 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:146,nodes:14,pairs:17,completionMax:29us [11m11s] 22377 ab:aab=1,aabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22377 ab:aab=1,aabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22378 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:10,completionMax:18us [11m11s] 22378 ab:aab=1,aabbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22378 ab:aab=1,aabbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22379 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:94,nodes:14,pairs:6,completionMax:19us [11m11s] 22379 ab:aab=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22379 ab:aab=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22380 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:110,nodes:16,pairs:10,completionMax:23us [11m11s] 22380 ab:aab=1,aabbab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22380 ab:aab=1,aabbab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22381 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:10,pairs:3,completionMax:10us [11m11s] 22381 ab:aab=1,aabbab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22381 ab:aab=1,aabbab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22382 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:61,nodes:10,pairs:9,completionMax:24us [11m11s] 22382 ab:aab=1,aabbab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22382 ab:aab=1,aabbab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22383 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:10,pairs:3,completionMax:10us [11m11s] 22383 ab:aab=1,aabbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22383 ab:aab=1,aabbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22384 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:99,nodes:14,pairs:10,completionMax:30us [11m11s] 22384 ab:aab=1,aabbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22384 ab:aab=1,aabbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22385 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:10,pairs:8,completionMax:17us [11m11s] 22385 ab:aab=1,aabbba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22385 ab:aab=1,aabbba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22386 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:65,nodes:10,pairs:7,completionMax:18us [11m11s] 22386 ab:aab=1,aabbba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22386 ab:aab=1,aabbba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22387 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:95,nodes:10,pairs:7,completionMax:24us [11m11s] 22387 ab:aab=1,aabbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22387 ab:aab=1,aabbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22388 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:80,nodes:16,pairs:9,completionMax:25us [11m11s] 22388 ab:aab=1,aabbbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22388 ab:aab=1,aabbbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22389 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:106,nodes:14,pairs:10,completionMax:30us [11m11s] 22389 ab:aab=1,aabbbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22389 ab:aab=1,aabbbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22390 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:103,nodes:12,pairs:16,completionMax:32us [11m11s] 22390 ab:aab=1,aabbbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22390 ab:aab=1,aabbbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22391 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:10,pairs:3,completionMax:12us [11m11s] 22391 ab:aab=1,aabbbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22391 ab:aab=1,aabbbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22392 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:361,nodes:16,pairs:23,completionMax:60us [11m11s] 22392 ab:aab=1,abaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22392 ab:aab=1,abaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22393 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:1,work:198,nodes:16,pairs:10,completionMax:32us [11m11s] 22393 ab:aab=1,abaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22393 ab:aab=1,abaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22394 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:5,work:178,nodes:14,pairs:12,completionMax:34us [11m11s] 22394 ab:aab=1,abaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22394 ab:aab=1,abaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22395 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:4,work:37,nodes:14,pairs:4,completionMax:17us [11m11s] 22395 ab:aab=1,abaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22395 ab:aab=1,abaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22396 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:64,nodes:8,pairs:7,completionMax:17us [11m11s] 22396 ab:aab=1,abaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22396 ab:aab=1,abaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22397 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:41,nodes:10,pairs:5,completionMax:15us [11m11s] 22397 ab:aab=1,abaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22397 ab:aab=1,abaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22398 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:79,nodes:10,pairs:12,completionMax:25us [11m11s] 22398 ab:aab=1,abaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22398 ab:aab=1,abaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22399 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:32,nodes:8,pairs:4,completionMax:11us [11m11s] 22399 ab:aab=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22399 ab:aab=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22400 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:63,nodes:8,pairs:7,completionMax:15us [11m11s] 22400 ab:aab=1,abaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22400 ab:aab=1,abaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22401 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:40,nodes:10,pairs:5,completionMax:12us [11m11s] 22401 ab:aab=1,abaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22401 ab:aab=1,abaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22402 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:78,nodes:10,pairs:12,completionMax:19us [11m11s] 22402 ab:aab=1,abaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22402 ab:aab=1,abaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22403 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:31,nodes:8,pairs:4,completionMax:9us [11m11s] 22403 ab:aab=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22403 ab:aab=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22404 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:17,nodes:10,pairs:3,completionMax:10us [11m11s] 22404 ab:aab=1,abaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22404 ab:aab=1,abaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22405 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:11us [11m11s] 22405 ab:aab=1,abaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22405 ab:aab=1,abaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22406 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:127,nodes:12,pairs:19,completionMax:41us [11m11s] 22406 ab:aab=1,abaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22406 ab:aab=1,abaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22407 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:10,pairs:3,completionMax:9us [11m11s] 22407 ab:aab=1,abaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22407 ab:aab=1,abaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22408 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:179,nodes:14,pairs:20,completionMax:41us [11m11s] 22408 ab:aab=1,ababaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22408 ab:aab=1,ababaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22409 solved: rounds:3,rules:2,peak:9,longest:6,steps:7,word:0,work:816,nodes:20,pairs:39,completionMax:82us [11m11s] 22409 ab:aab=1,ababaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22409 ab:aab=1,ababaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22410 solved: rounds:2,rules:2,peak:9,longest:6,steps:6,word:0,work:432,nodes:20,pairs:27,completionMax:73us [11m11s] 22410 ab:aab=1,ababaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22410 ab:aab=1,ababaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22411 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:2,work:539,nodes:24,pairs:20,completionMax:69us [11m11s] 22411 ab:aab=1,ababaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22411 ab:aab=1,ababaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22412 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:190,nodes:18,pairs:13,completionMax:42us [11m11s] 22412 ab:aab=1,ababab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22412 ab:aab=1,ababab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22413 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:40,nodes:14,pairs:5,completionMax:14us [11m11s] 22413 ab:aab=1,ababab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22413 ab:aab=1,ababab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22414 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:555,nodes:16,pairs:28,completionMax:58us [11m11s] 22414 ab:aab=1,ababab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22414 ab:aab=1,ababab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22415 solved: rounds:4,rules:2,peak:5,longest:6,steps:4,word:0,work:348,nodes:20,pairs:15,completionMax:34us [11m11s] 22415 ab:aab=1,ababab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22415 ab:aab=1,ababab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22416 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:2,work:280,nodes:22,pairs:18,completionMax:57us [11m11s] 22416 ab:aab=1,ababba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22416 ab:aab=1,ababba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22417 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:260,nodes:20,pairs:17,completionMax:31us [11m11s] 22417 ab:aab=1,ababba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22417 ab:aab=1,ababba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22418 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:0,work:231,nodes:16,pairs:19,completionMax:36us [11m11s] 22418 ab:aab=1,ababba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22418 ab:aab=1,ababba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22419 solved: rounds:4,rules:2,peak:7,longest:6,steps:6,word:0,work:879,nodes:26,pairs:23,completionMax:84us [11m11s] 22419 ab:aab=1,ababba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22419 ab:aab=1,ababba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22420 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:299,nodes:26,pairs:8,completionMax:54us [11m11s] 22420 ab:aab=1,ababbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22420 ab:aab=1,ababbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22421 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:33,nodes:16,pairs:6,completionMax:20us [11m11s] 22421 ab:aab=1,ababbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22421 ab:aab=1,ababbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22422 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:132,nodes:18,pairs:10,completionMax:24us [11m11s] 22422 ab:aab=1,ababbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22422 ab:aab=1,ababbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22423 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:0,work:66,nodes:16,pairs:7,completionMax:16us [11m11s] 22423 ab:aab=1,ababbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22423 ab:aab=1,ababbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22424 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:265,nodes:20,pairs:25,completionMax:42us [11m11s] 22424 ab:aab=1,abbaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22424 ab:aab=1,abbaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22425 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:523,nodes:22,pairs:32,completionMax:51us [11m11s] 22425 ab:aab=1,abbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22425 ab:aab=1,abbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22426 solved: rounds:2,rules:2,peak:11,longest:6,steps:5,word:0,work:629,nodes:24,pairs:25,completionMax:64us [11m11s] 22426 ab:aab=1,abbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22426 ab:aab=1,abbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22427 solved: rounds:2,rules:2,peak:13,longest:6,steps:4,word:2,work:1068,nodes:28,pairs:25,completionMax:130us [11m11s] 22427 ab:aab=1,abbaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22427 ab:aab=1,abbaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22428 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:18,nodes:10,pairs:3,completionMax:9us [11m11s] 22428 ab:aab=1,abbaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22428 ab:aab=1,abbaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22429 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:2,completionMax:6us [11m11s] 22429 ab:aab=1,abbaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22429 ab:aab=1,abbaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22430 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:128,nodes:12,pairs:19,completionMax:42us [11m11s] 22430 ab:aab=1,abbaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22430 ab:aab=1,abbaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22431 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:35,nodes:10,pairs:3,completionMax:14us [11m11s] 22431 ab:aab=1,abbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22431 ab:aab=1,abbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22432 solved: rounds:4,rules:2,peak:10,longest:7,steps:3,word:4,work:1392,nodes:30,pairs:51,completionMax:170us [11m11s] 22432 ab:aab=1,abbaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22432 ab:aab=1,abbaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22433 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:245,nodes:20,pairs:18,completionMax:39us [11m11s] 22433 ab:aab=1,abbaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22433 ab:aab=1,abbaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22434 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:0,work:314,nodes:20,pairs:26,completionMax:52us [11m11s] 22434 ab:aab=1,abbaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22434 ab:aab=1,abbaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22435 solved: rounds:4,rules:2,peak:12,longest:6,steps:6,word:0,work:2608,nodes:28,pairs:42,completionMax:158us [11m11s] 22435 ab:aab=1,abbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22435 ab:aab=1,abbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22436 solved: rounds:4,rules:2,peak:6,longest:8,steps:2,word:5,work:289,nodes:20,pairs:23,completionMax:57us [11m11s] 22436 ab:aab=1,abbabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22436 ab:aab=1,abbabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22437 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:2,work:319,nodes:20,pairs:21,completionMax:40us [11m11s] 22437 ab:aab=1,abbabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22437 ab:aab=1,abbabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22438 solved: rounds:3,rules:2,peak:10,longest:6,steps:8,word:2,work:822,nodes:24,pairs:40,completionMax:124us [11m11s] 22438 ab:aab=1,abbabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22438 ab:aab=1,abbabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22439 solved: rounds:4,rules:2,peak:4,longest:6,steps:3,word:0,work:196,nodes:22,pairs:12,completionMax:25us [11m11s] 22439 ab:aab=1,abbabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22439 ab:aab=1,abbabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22440 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:2,work:338,nodes:26,pairs:23,completionMax:77us [11m11s] 22440 ab:aab=1,abbbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22440 ab:aab=1,abbbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22441 solved: rounds:2,rules:2,peak:8,longest:6,steps:5,word:0,work:362,nodes:20,pairs:30,completionMax:73us [11m11s] 22441 ab:aab=1,abbbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22441 ab:aab=1,abbbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22442 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:531,nodes:24,pairs:21,completionMax:63us [11m11s] 22442 ab:aab=1,abbbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22442 ab:aab=1,abbbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22443 solved: rounds:4,rules:2,peak:10,longest:6,steps:5,word:0,work:1460,nodes:22,pairs:32,completionMax:125us [11m11s] 22443 ab:aab=1,abbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22443 ab:aab=1,abbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22444 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:5,work:661,nodes:28,pairs:25,completionMax:83us [11m11s] 22444 ab:aab=1,abbbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22444 ab:aab=1,abbbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22445 solved: rounds:4,rules:2,peak:8,longest:6,steps:2,word:2,work:347,nodes:20,pairs:22,completionMax:74us [11m11s] 22445 ab:aab=1,abbbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22445 ab:aab=1,abbbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22446 solved: rounds:3,rules:2,peak:8,longest:10,steps:5,word:6,work:1237,nodes:36,pairs:25,completionMax:120us [11m11s] 22446 ab:aab=1,abbbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22446 ab:aab=1,abbbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22447 solved: rounds:4,rules:2,peak:6,longest:6,steps:5,word:0,work:473,nodes:22,pairs:18,completionMax:46us [11m11s] 22447 ab:aab=1,abbbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22447 ab:aab=1,abbbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22448 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:5,work:573,nodes:22,pairs:39,completionMax:88us [11m11s] 22448 ab:aab=1,abbbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22448 ab:aab=1,abbbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22449 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:2,work:623,nodes:28,pairs:18,completionMax:65us [11m11s] 22449 ab:aab=1,abbbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22449 ab:aab=1,abbbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22450 solved: rounds:4,rules:2,peak:7,longest:6,steps:3,word:2,work:475,nodes:22,pairs:26,completionMax:77us [11m11s] 22450 ab:aab=1,abbbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22450 ab:aab=1,abbbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22451 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:769,nodes:28,pairs:30,completionMax:107us [11m11s] 22451 ab:aab=1,abbbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22451 ab:aab=1,abbbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22452 solved: rounds:4,rules:2,peak:6,longest:11,steps:6,word:8,work:298,nodes:22,pairs:15,completionMax:42us [11m11s] 22452 ab:aab=1,abbbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22452 ab:aab=1,abbbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22453 solved: rounds:5,rules:2,peak:4,longest:8,steps:2,word:5,work:111,nodes:20,pairs:14,completionMax:43us [11m11s] 22453 ab:aab=1,abbbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22453 ab:aab=1,abbbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22454 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:5,work:580,nodes:20,pairs:31,completionMax:88us [11m11s] 22454 ab:aab=1,abbbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22454 ab:aab=1,abbbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22455 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:2,work:319,nodes:20,pairs:27,completionMax:62us [11m11s] 22455 ab:aab=1,abbbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22455 ab:aab=1,abbbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22456 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:390,nodes:20,pairs:25,completionMax:56us [11m11s] 22456 ab:aab=1,baaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22456 ab:aab=1,baaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22457 solved: rounds:3,rules:2,peak:5,longest:11,steps:5,word:4,work:297,nodes:30,pairs:14,completionMax:45us [11m11s] 22457 ab:aab=1,baaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22457 ab:aab=1,baaaaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22458 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:1,work:237,nodes:20,pairs:13,completionMax:53us [11m11s] 22458 ab:aab=1,baaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22458 ab:aab=1,baaaaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22459 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:4,work:528,nodes:32,pairs:6,completionMax:51us [11m11s] 22459 ab:aab=1,baaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22459 ab:aab=1,baaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22460 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:63,nodes:12,pairs:6,completionMax:19us [11m11s] 22460 ab:aab=1,baaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22460 ab:aab=1,baaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22461 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:149,nodes:14,pairs:17,completionMax:37us [11m11s] 22461 ab:aab=1,baaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22461 ab:aab=1,baaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22462 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:10,completionMax:23us [11m11s] 22462 ab:aab=1,baaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22462 ab:aab=1,baaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22463 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:97,nodes:14,pairs:6,completionMax:21us [11m11s] 22463 ab:aab=1,baaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22463 ab:aab=1,baaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22464 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:62,nodes:12,pairs:6,completionMax:16us [11m11s] 22464 ab:aab=1,baaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22464 ab:aab=1,baaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22465 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:148,nodes:14,pairs:17,completionMax:29us [11m11s] 22465 ab:aab=1,baaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22465 ab:aab=1,baaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22466 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:10,completionMax:18us [11m11s] 22466 ab:aab=1,baaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22466 ab:aab=1,baaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22467 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:96,nodes:14,pairs:6,completionMax:22us [11m11s] 22467 ab:aab=1,baaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22467 ab:aab=1,baaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22468 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:112,nodes:16,pairs:10,completionMax:28us [11m11s] 22468 ab:aab=1,baaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22468 ab:aab=1,baaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22469 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:10,pairs:3,completionMax:8us [11m11s] 22469 ab:aab=1,baaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22469 ab:aab=1,baaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22470 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:63,nodes:10,pairs:9,completionMax:20us [11m11s] 22470 ab:aab=1,baaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22470 ab:aab=1,baaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22471 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:10,pairs:3,completionMax:8us [11m11s] 22471 ab:aab=1,baaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22471 ab:aab=1,baaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22472 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:61,nodes:12,pairs:6,completionMax:17us [11m11s] 22472 ab:aab=1,baabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22472 ab:aab=1,baabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22473 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:147,nodes:14,pairs:17,completionMax:36us [11m11s] 22473 ab:aab=1,baabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22473 ab:aab=1,baabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22474 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:10,completionMax:22us [11m11s] 22474 ab:aab=1,baabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22474 ab:aab=1,baabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22475 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:95,nodes:14,pairs:6,completionMax:18us [11m11s] 22475 ab:aab=1,baabaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22475 ab:aab=1,baabaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22476 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:111,nodes:16,pairs:10,completionMax:26us [11m11s] 22476 ab:aab=1,baabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22476 ab:aab=1,baabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22477 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:10,pairs:3,completionMax:9us [11m11s] 22477 ab:aab=1,baabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22477 ab:aab=1,baabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22478 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:62,nodes:10,pairs:9,completionMax:20us [11m11s] 22478 ab:aab=1,baabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22478 ab:aab=1,baabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22479 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:10,pairs:3,completionMax:9us [11m11s] 22479 ab:aab=1,baabab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22479 ab:aab=1,baabab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22480 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:100,nodes:14,pairs:10,completionMax:38us [11m11s] 22480 ab:aab=1,baabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22480 ab:aab=1,baabba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22481 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:10,pairs:8,completionMax:17us [11m11s] 22481 ab:aab=1,baabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22481 ab:aab=1,baabba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22482 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:66,nodes:10,pairs:7,completionMax:23us [11m11s] 22482 ab:aab=1,baabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22482 ab:aab=1,baabba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22483 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:96,nodes:10,pairs:7,completionMax:24us [11m11s] 22483 ab:aab=1,baabba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22483 ab:aab=1,baabba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22484 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:81,nodes:16,pairs:9,completionMax:26us [11m11s] 22484 ab:aab=1,baabbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22484 ab:aab=1,baabbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22485 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:107,nodes:14,pairs:10,completionMax:30us [11m11s] 22485 ab:aab=1,baabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22485 ab:aab=1,baabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22486 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:104,nodes:12,pairs:16,completionMax:32us [11m11s] 22486 ab:aab=1,baabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22486 ab:aab=1,baabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22487 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:3,completionMax:12us [11m11s] 22487 ab:aab=1,baabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22487 ab:aab=1,baabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22488 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:0,work:696,nodes:24,pairs:33,completionMax:88us [11m11s] 22488 ab:aab=1,babaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22488 ab:aab=1,babaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22489 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:548,nodes:24,pairs:23,completionMax:76us [11m11s] 22489 ab:aab=1,babaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22489 ab:aab=1,babaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22490 solved: rounds:2,rules:2,peak:9,longest:6,steps:5,word:0,work:276,nodes:22,pairs:19,completionMax:51us [11m11s] 22490 ab:aab=1,babaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22490 ab:aab=1,babaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22491 solved: rounds:2,rules:2,peak:11,longest:7,steps:4,word:2,work:918,nodes:30,pairs:20,completionMax:81us [11m11s] 22491 ab:aab=1,babaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22491 ab:aab=1,babaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22492 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:113,nodes:16,pairs:10,completionMax:31us [11m11s] 22492 ab:aab=1,babaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22492 ab:aab=1,babaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22493 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:10,pairs:3,completionMax:6us [11m11s] 22493 ab:aab=1,babaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22493 ab:aab=1,babaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22494 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:64,nodes:10,pairs:9,completionMax:17us [11m11s] 22494 ab:aab=1,babaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22494 ab:aab=1,babaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22495 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:10,pairs:3,completionMax:6us [11m11s] 22495 ab:aab=1,babaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22495 ab:aab=1,babaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22496 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:2,work:271,nodes:20,pairs:23,completionMax:39us [11m11s] 22496 ab:aab=1,bababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22496 ab:aab=1,bababa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22497 solved: rounds:2,rules:2,peak:9,longest:6,steps:4,word:0,work:640,nodes:26,pairs:36,completionMax:70us [11m11s] 22497 ab:aab=1,bababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22497 ab:aab=1,bababa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22498 solved: rounds:5,rules:2,peak:4,longest:6,steps:2,word:0,work:197,nodes:22,pairs:14,completionMax:30us [11m11s] 22498 ab:aab=1,bababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22498 ab:aab=1,bababa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22499 solved: rounds:4,rules:2,peak:9,longest:6,steps:6,word:0,work:1570,nodes:26,pairs:57,completionMax:92us [11m11s] 22499 ab:aab=1,bababa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22499 ab:aab=1,bababa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22500 solved: rounds:3,rules:2,peak:9,longest:8,steps:5,word:5,work:1568,nodes:36,pairs:57,completionMax:144us [11m11s] 22500 ab:aab=1,bababb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22500 ab:aab=1,bababb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22501 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:2,work:617,nodes:28,pairs:31,completionMax:75us [11m11s] 22501 ab:aab=1,bababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22501 ab:aab=1,bababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22502 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:2,work:329,nodes:20,pairs:20,completionMax:70us [11m11s] 22502 ab:aab=1,bababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22502 ab:aab=1,bababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22503 solved: rounds:4,rules:2,peak:3,longest:6,steps:2,word:0,work:42,nodes:22,pairs:5,completionMax:18us [11m11s] 22503 ab:aab=1,bababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22503 ab:aab=1,bababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22504 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:4,work:487,nodes:26,pairs:28,completionMax:63us [11m11s] 22504 ab:aab=1,babbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22504 ab:aab=1,babbaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22505 solved: rounds:2,rules:2,peak:7,longest:6,steps:5,word:0,work:431,nodes:22,pairs:24,completionMax:60us [11m11s] 22505 ab:aab=1,babbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22505 ab:aab=1,babbaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22506 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:686,nodes:22,pairs:54,completionMax:104us [11m11s] 22506 ab:aab=1,babbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22506 ab:aab=1,babbaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22507 solved: rounds:4,rules:2,peak:10,longest:6,steps:7,word:0,work:1217,nodes:26,pairs:29,completionMax:86us [11m11s] 22507 ab:aab=1,babbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22507 ab:aab=1,babbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22508 solved: rounds:3,rules:2,peak:10,longest:8,steps:4,word:10,work:1247,nodes:42,pairs:43,completionMax:131us [11m11s] 22508 ab:aab=1,babbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22508 ab:aab=1,babbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22509 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:2,work:668,nodes:24,pairs:42,completionMax:102us [11m11s] 22509 ab:aab=1,babbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22509 ab:aab=1,babbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22510 solved: rounds:2,rules:2,peak:10,longest:6,steps:4,word:2,work:812,nodes:30,pairs:20,completionMax:93us [11m11s] 22510 ab:aab=1,babbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22510 ab:aab=1,babbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22511 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:0,work:362,nodes:28,pairs:19,completionMax:53us [11m11s] 22511 ab:aab=1,babbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22511 ab:aab=1,babbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22512 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:10,work:946,nodes:36,pairs:28,completionMax:103us [11m11s] 22512 ab:aab=1,babbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22512 ab:aab=1,babbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22513 solved: rounds:3,rules:2,peak:9,longest:7,steps:7,word:4,work:1301,nodes:36,pairs:37,completionMax:132us [11m11s] 22513 ab:aab=1,babbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22513 ab:aab=1,babbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22514 solved: rounds:4,rules:2,peak:7,longest:7,steps:2,word:2,work:448,nodes:22,pairs:22,completionMax:83us [11m11s] 22514 ab:aab=1,babbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22514 ab:aab=1,babbba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22515 solved: rounds:3,rules:2,peak:10,longest:6,steps:6,word:0,work:689,nodes:30,pairs:38,completionMax:91us [11m11s] 22515 ab:aab=1,babbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22515 ab:aab=1,babbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22516 solved: rounds:3,rules:2,peak:9,longest:15,steps:6,word:13,work:1966,nodes:54,pairs:16,completionMax:136us [11m11s] 22516 ab:aab=1,babbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22516 ab:aab=1,babbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22517 solved: rounds:5,rules:2,peak:6,longest:8,steps:6,word:5,work:485,nodes:28,pairs:27,completionMax:77us [11m11s] 22517 ab:aab=1,babbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22517 ab:aab=1,babbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22518 solved: rounds:3,rules:2,peak:10,longest:9,steps:3,word:5,work:871,nodes:26,pairs:42,completionMax:155us [11m11s] 22518 ab:aab=1,babbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22518 ab:aab=1,babbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22519 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:2,work:203,nodes:22,pairs:15,completionMax:41us [11m11s] 22519 ab:aab=1,babbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22519 ab:aab=1,babbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22520 solved: rounds:3,rules:2,peak:8,longest:6,steps:4,word:0,work:537,nodes:22,pairs:38,completionMax:68us [11m11s] 22520 ab:aab=1,bbaaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22520 ab:aab=1,bbaaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22521 solved: rounds:2,rules:2,peak:10,longest:6,steps:7,word:0,work:417,nodes:26,pairs:20,completionMax:77us [11m11s] 22521 ab:aab=1,bbaaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22521 ab:aab=1,bbaaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22522 solved: rounds:3,rules:2,peak:11,longest:6,steps:4,word:0,work:686,nodes:24,pairs:48,completionMax:116us [11m11s] 22522 ab:aab=1,bbaaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22522 ab:aab=1,bbaaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22523 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:428,nodes:22,pairs:12,completionMax:54us [11m11s] 22523 ab:aab=1,bbaaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22523 ab:aab=1,bbaaaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22524 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:102,nodes:14,pairs:10,completionMax:32us [11m11s] 22524 ab:aab=1,bbaaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22524 ab:aab=1,bbaaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22525 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:46,nodes:10,pairs:8,completionMax:17us [11m11s] 22525 ab:aab=1,bbaaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22525 ab:aab=1,bbaaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22526 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:68,nodes:10,pairs:7,completionMax:18us [11m11s] 22526 ab:aab=1,bbaaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22526 ab:aab=1,bbaaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22527 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:98,nodes:10,pairs:7,completionMax:20us [11m11s] 22527 ab:aab=1,bbaaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22527 ab:aab=1,bbaaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22528 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:101,nodes:14,pairs:10,completionMax:26us [11m11s] 22528 ab:aab=1,bbaaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22528 ab:aab=1,bbaaba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22529 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:10,pairs:8,completionMax:13us [11m11s] 22529 ab:aab=1,bbaaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22529 ab:aab=1,bbaaba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22530 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:67,nodes:10,pairs:7,completionMax:23us [11m11s] 22530 ab:aab=1,bbaaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22530 ab:aab=1,bbaaba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22531 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:97,nodes:10,pairs:7,completionMax:23us [11m11s] 22531 ab:aab=1,bbaaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22531 ab:aab=1,bbaaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22532 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:82,nodes:16,pairs:9,completionMax:27us [11m11s] 22532 ab:aab=1,bbaabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22532 ab:aab=1,bbaabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22533 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:108,nodes:14,pairs:10,completionMax:27us [11m11s] 22533 ab:aab=1,bbaabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22533 ab:aab=1,bbaabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22534 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:105,nodes:12,pairs:16,completionMax:32us [11m11s] 22534 ab:aab=1,bbaabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22534 ab:aab=1,bbaabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22535 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:3,completionMax:12us [11m11s] 22535 ab:aab=1,bbaabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22535 ab:aab=1,bbaabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22536 solved: rounds:4,rules:2,peak:10,longest:7,steps:3,word:2,work:884,nodes:28,pairs:47,completionMax:136us [11m11s] 22536 ab:aab=1,bbabaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22536 ab:aab=1,bbabaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22537 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:0,work:572,nodes:26,pairs:21,completionMax:66us [11m11s] 22537 ab:aab=1,bbabaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22537 ab:aab=1,bbabaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22538 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:158,nodes:22,pairs:15,completionMax:28us [11m11s] 22538 ab:aab=1,bbabaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22538 ab:aab=1,bbabaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22539 solved: rounds:4,rules:2,peak:9,longest:6,steps:4,word:0,work:750,nodes:24,pairs:33,completionMax:90us [11m11s] 22539 ab:aab=1,bbabaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22539 ab:aab=1,bbabaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22540 solved: rounds:3,rules:2,peak:10,longest:8,steps:3,word:5,work:702,nodes:34,pairs:44,completionMax:111us [11m11s] 22540 ab:aab=1,bbabab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22540 ab:aab=1,bbabab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22541 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:2,work:354,nodes:22,pairs:27,completionMax:54us [11m11s] 22541 ab:aab=1,bbabab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22541 ab:aab=1,bbabab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22542 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:2,work:247,nodes:22,pairs:12,completionMax:45us [11m11s] 22542 ab:aab=1,bbabab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22542 ab:aab=1,bbabab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22543 solved: rounds:5,rules:2,peak:3,longest:6,steps:1,word:0,work:69,nodes:22,pairs:6,completionMax:18us [11m11s] 22543 ab:aab=1,bbabab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22543 ab:aab=1,bbabab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22544 solved: rounds:3,rules:2,peak:8,longest:9,steps:4,word:5,work:782,nodes:34,pairs:29,completionMax:83us [11m11s] 22544 ab:aab=1,bbabba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22544 ab:aab=1,bbabba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22545 solved: rounds:2,rules:2,peak:10,longest:6,steps:15,word:2,work:1477,nodes:38,pairs:28,completionMax:106us [11m11s] 22545 ab:aab=1,bbabba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22545 ab:aab=1,bbabba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22546 solved: rounds:4,rules:2,peak:9,longest:6,steps:3,word:2,work:925,nodes:22,pairs:46,completionMax:151us [11m11s] 22546 ab:aab=1,bbabba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22546 ab:aab=1,bbabba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22547 solved: rounds:3,rules:2,peak:10,longest:6,steps:4,word:0,work:1423,nodes:28,pairs:35,completionMax:141us [11m11s] 22547 ab:aab=1,bbabba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22547 ab:aab=1,bbabba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22548 solved: rounds:3,rules:2,peak:13,longest:12,steps:7,word:8,work:2593,nodes:42,pairs:43,completionMax:217us [11m11s] 22548 ab:aab=1,bbabbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22548 ab:aab=1,bbabbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22549 solved: rounds:3,rules:2,peak:7,longest:8,steps:6,word:5,work:1256,nodes:26,pairs:46,completionMax:141us [11m11s] 22549 ab:aab=1,bbabbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22549 ab:aab=1,bbabbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22550 solved: rounds:3,rules:2,peak:8,longest:8,steps:68,word:10,work:4979,nodes:32,pairs:47,completionMax:171us [11m11s] 22550 ab:aab=1,bbabbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22550 ab:aab=1,bbabbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22551 solved: rounds:4,rules:2,peak:4,longest:6,steps:2,word:2,work:112,nodes:22,pairs:7,completionMax:25us [11m11s] 22551 ab:aab=1,bbabbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22551 ab:aab=1,bbabbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22552 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:2,work:511,nodes:28,pairs:25,completionMax:92us [11m11s] 22552 ab:aab=1,bbbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22552 ab:aab=1,bbbaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22553 solved: rounds:3,rules:2,peak:9,longest:6,steps:6,word:0,work:684,nodes:24,pairs:31,completionMax:85us [11m11s] 22553 ab:aab=1,bbbaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22553 ab:aab=1,bbbaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22554 solved: rounds:3,rules:2,peak:10,longest:6,steps:3,word:0,work:431,nodes:24,pairs:64,completionMax:158us [11m11s] 22554 ab:aab=1,bbbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22554 ab:aab=1,bbbaaa=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22555 solved: rounds:4,rules:2,peak:9,longest:6,steps:4,word:0,work:743,nodes:20,pairs:32,completionMax:74us [11m11s] 22555 ab:aab=1,bbbaaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22555 ab:aab=1,bbbaaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22556 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:83,nodes:16,pairs:9,completionMax:30us [11m11s] 22556 ab:aab=1,bbbaab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22556 ab:aab=1,bbbaab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22557 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:109,nodes:14,pairs:10,completionMax:26us [11m11s] 22557 ab:aab=1,bbbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22557 ab:aab=1,bbbaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22558 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:106,nodes:12,pairs:16,completionMax:27us [11m11s] 22558 ab:aab=1,bbbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22558 ab:aab=1,bbbaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22559 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:3,completionMax:12us [11m11s] 22559 ab:aab=1,bbbaab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22559 ab:aab=1,bbbaab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22560 solved: rounds:4,rules:2,peak:9,longest:9,steps:4,word:5,work:952,nodes:38,pairs:38,completionMax:144us [11m11s] 22560 ab:aab=1,bbbaba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22560 ab:aab=1,bbbaba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22561 solved: rounds:3,rules:2,peak:7,longest:6,steps:6,word:4,work:565,nodes:20,pairs:23,completionMax:62us [11m11s] 22561 ab:aab=1,bbbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22561 ab:aab=1,bbbaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22562 solved: rounds:4,rules:2,peak:11,longest:7,steps:3,word:4,work:861,nodes:32,pairs:40,completionMax:121us [11m11s] 22562 ab:aab=1,bbbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22562 ab:aab=1,bbbaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22563 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:0,work:162,nodes:22,pairs:18,completionMax:32us [11m11s] 22563 ab:aab=1,bbbaba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22563 ab:aab=1,bbbaba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22564 solved: rounds:3,rules:2,peak:11,longest:11,steps:6,word:8,work:1700,nodes:36,pairs:37,completionMax:179us [11m11s] 22564 ab:aab=1,bbbabb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22564 ab:aab=1,bbbabb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22565 solved: rounds:4,rules:2,peak:6,longest:8,steps:4,word:5,work:456,nodes:20,pairs:25,completionMax:79us [11m11s] 22565 ab:aab=1,bbbabb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22565 ab:aab=1,bbbabb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22566 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:5,work:1229,nodes:30,pairs:44,completionMax:145us [11m11s] 22566 ab:aab=1,bbbabb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22566 ab:aab=1,bbbabb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22567 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:2,work:389,nodes:20,pairs:23,completionMax:60us [11m11s] 22567 ab:aab=1,bbbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22567 ab:aab=1,bbbabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22568 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:5,work:417,nodes:28,pairs:24,completionMax:74us [11m11s] 22568 ab:aab=1,bbbbaa=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22568 ab:aab=1,bbbbaa=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22569 solved: rounds:2,rules:2,peak:10,longest:6,steps:12,word:2,work:1072,nodes:22,pairs:24,completionMax:87us [11m11s] 22569 ab:aab=1,bbbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22569 ab:aab=1,bbbbaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22570 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:2,work:484,nodes:26,pairs:17,completionMax:70us [11m11s] 22570 ab:aab=1,bbbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22570 ab:aab=1,bbbbaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22571 solved: rounds:2,rules:2,peak:10,longest:6,steps:5,word:0,work:661,nodes:18,pairs:21,completionMax:84us [11m11s] 22571 ab:aab=1,bbbbaa=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22571 ab:aab=1,bbbbaa=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22572 solved: rounds:5,rules:2,peak:7,longest:11,steps:6,word:8,work:723,nodes:24,pairs:25,completionMax:86us [11m11s] 22572 ab:aab=1,bbbbab=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22572 ab:aab=1,bbbbab=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22573 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:5,work:470,nodes:18,pairs:26,completionMax:79us [11m11s] 22573 ab:aab=1,bbbbab=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22573 ab:aab=1,bbbbab=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22574 solved: rounds:4,rules:2,peak:9,longest:8,steps:3,word:5,work:664,nodes:20,pairs:42,completionMax:112us [11m11s] 22574 ab:aab=1,bbbbab=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22574 ab:aab=1,bbbbab=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22575 solved: rounds:5,rules:2,peak:5,longest:6,steps:2,word:2,work:156,nodes:18,pairs:18,completionMax:34us [11m11s] 22575 ab:aab=1,bbbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22575 ab:aab=1,bbbbab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22576 solved: rounds:4,rules:2,peak:9,longest:20,steps:32,word:24,work:4484,nodes:52,pairs:40,completionMax:195us [11m11s] 22576 ab:aab=1,bbbbba=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22576 ab:aab=1,bbbbba=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22577 solved: rounds:5,rules:2,peak:8,longest:8,steps:6,word:5,work:693,nodes:18,pairs:38,completionMax:85us [11m11s] 22577 ab:aab=1,bbbbba=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22577 ab:aab=1,bbbbba=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22578 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:5,work:380,nodes:24,pairs:26,completionMax:64us [11m11s] 22578 ab:aab=1,bbbbba=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22578 ab:aab=1,bbbbba=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22579 solved: rounds:5,rules:2,peak:10,longest:6,steps:4,word:2,work:1453,nodes:20,pairs:39,completionMax:111us [11m11s] 22579 ab:aab=1,bbbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22579 ab:aab=1,bbbbba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22580 solved: rounds:5,rules:2,peak:5,longest:14,steps:6,word:11,work:954,nodes:28,pairs:15,completionMax:69us [11m11s] 22580 ab:aab=1,bbbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 22580 ab:aab=1,bbbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbbbbbb [11m11s] # 22581 solved: rounds:5,rules:2,peak:8,longest:11,steps:7,word:8,work:1420,nodes:22,pairs:37,completionMax:127us [11m11s] 22581 ab:aab=1,bbbbbb=ab finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22581 ab:aab=1,bbbbbb=ab finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22582 solved: rounds:6,rules:2,peak:6,longest:11,steps:7,word:8,work:896,nodes:22,pairs:28,completionMax:77us [11m11s] 22582 ab:aab=1,bbbbbb=ba finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22582 ab:aab=1,bbbbbb=ba finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22583 solved: rounds:6,rules:2,peak:4,longest:8,steps:2,word:5,work:194,nodes:16,pairs:15,completionMax:48us [11m11s] 22583 ab:aab=1,bbbbbb=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22583 ab:aab=1,bbbbbb=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22584 solved: rounds:3,rules:2,peak:4,longest:6,steps:5,word:1,work:212,nodes:14,pairs:11,completionMax:32us [11m11s] 22584 ab:aba=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22584 ab:aba=1,aaaaaa=aa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22585 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:4,work:20,nodes:14,pairs:3,completionMax:9us [11m11s] 22585 ab:aba=1,aaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22585 ab:aba=1,aaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22586 solved: rounds:2,rules:2,peak:4,longest:10,steps:6,word:7,work:100,nodes:22,pairs:4,completionMax:16us [11m11s] 22586 ab:aba=1,aaaaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 22586 ab:aba=1,aaaaaa=bb finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 22587 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:0,work:319,nodes:16,pairs:20,completionMax:34us [11m11s] 22587 ab:aba=1,aaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22587 ab:aba=1,aaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22588 solved: rounds:3,rules:2,peak:4,longest:6,steps:4,word:1,work:147,nodes:14,pairs:8,completionMax:29us [11m11s] 22588 ab:aba=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22588 ab:aba=1,aaaaab=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22589 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:2,work:271,nodes:18,pairs:10,completionMax:35us [11m11s] 22589 ab:aba=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22589 ab:aba=1,aaaaab=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22590 solved: rounds:3,rules:2,peak:4,longest:7,steps:11,word:4,work:297,nodes:14,pairs:8,completionMax:28us [11m11s] 22590 ab:aba=1,aaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22590 ab:aba=1,aaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22591 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:94,nodes:10,pairs:8,completionMax:20us [11m11s] 22591 ab:aba=1,aaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22591 ab:aba=1,aaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22592 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:20,nodes:8,pairs:3,completionMax:10us [11m11s] 22592 ab:aba=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22592 ab:aba=1,aaaaba=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22593 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:20,nodes:10,pairs:3,completionMax:10us [11m11s] 22593 ab:aba=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22593 ab:aba=1,aaaaba=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22594 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:64,nodes:16,pairs:4,completionMax:20us [11m11s] 22594 ab:aba=1,aaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22594 ab:aba=1,aaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22595 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:0,work:141,nodes:18,pairs:13,completionMax:40us [11m11s] 22595 ab:aba=1,aaaabb=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22595 ab:aba=1,aaaabb=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22596 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:116,nodes:18,pairs:13,completionMax:30us [11m11s] 22596 ab:aba=1,aaaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22596 ab:aba=1,aaaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22597 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:122,nodes:18,pairs:13,completionMax:30us [11m11s] 22597 ab:aba=1,aaaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22597 ab:aba=1,aaaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22598 solved: rounds:3,rules:2,peak:6,longest:30,steps:65,word:25,work:5141,nodes:68,pairs:24,completionMax:222us [11m11s] 22598 ab:aba=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22598 ab:aba=1,aaaabb=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22599 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:93,nodes:10,pairs:8,completionMax:19us [11m11s] 22599 ab:aba=1,aaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22599 ab:aba=1,aaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22600 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:19,nodes:8,pairs:3,completionMax:11us [11m11s] 22600 ab:aba=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22600 ab:aba=1,aaabaa=ab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22601 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:19,nodes:10,pairs:3,completionMax:9us [11m11s] 22601 ab:aba=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22601 ab:aba=1,aaabaa=ba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22602 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:63,nodes:16,pairs:4,completionMax:18us [11m11s] 22602 ab:aba=1,aaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22602 ab:aba=1,aaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22603 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:81,nodes:10,pairs:7,completionMax:24us [11m11s] 22603 ab:aba=1,aaabab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22603 ab:aba=1,aaabab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22604 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:8,pairs:5,completionMax:9us [11m11s] 22604 ab:aba=1,aaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22604 ab:aba=1,aaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22605 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:56,nodes:10,pairs:6,completionMax:17us [11m11s] 22605 ab:aba=1,aaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22605 ab:aba=1,aaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22606 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:98,nodes:8,pairs:8,completionMax:19us [11m11s] 22606 ab:aba=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22606 ab:aba=1,aaabab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22607 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:0,work:129,nodes:16,pairs:11,completionMax:25us [11m11s] 22607 ab:aba=1,aaabba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22607 ab:aba=1,aaabba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22608 solved: rounds:2,rules:2,peak:6,longest:6,steps:3,word:0,work:184,nodes:16,pairs:20,completionMax:33us [11m11s] 22608 ab:aba=1,aaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22608 ab:aba=1,aaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22609 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:154,nodes:16,pairs:15,completionMax:22us [11m11s] 22609 ab:aba=1,aaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22609 ab:aba=1,aaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22610 solved: rounds:3,rules:2,peak:6,longest:30,steps:65,word:25,work:5282,nodes:68,pairs:26,completionMax:238us [11m11s] 22610 ab:aba=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22610 ab:aba=1,aaabba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22611 solved: rounds:5,rules:2,peak:4,longest:6,steps:9,word:2,work:339,nodes:22,pairs:12,completionMax:47us [11m11s] 22611 ab:aba=1,aaabbb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22611 ab:aba=1,aaabbb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22612 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:155,nodes:20,pairs:13,completionMax:36us [11m11s] 22612 ab:aba=1,aaabbb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22612 ab:aba=1,aaabbb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22613 solved: rounds:3,rules:2,peak:6,longest:6,steps:3,word:0,work:161,nodes:20,pairs:13,completionMax:36us [11m11s] 22613 ab:aba=1,aaabbb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22613 ab:aba=1,aaabbb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22614 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:216,nodes:20,pairs:14,completionMax:34us [11m11s] 22614 ab:aba=1,aaabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22614 ab:aba=1,aaabbb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22615 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:80,nodes:10,pairs:7,completionMax:23us [11m11s] 22615 ab:aba=1,aabaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22615 ab:aba=1,aabaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22616 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:5,completionMax:10us [11m11s] 22616 ab:aba=1,aabaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22616 ab:aba=1,aabaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22617 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:55,nodes:10,pairs:6,completionMax:20us [11m11s] 22617 ab:aba=1,aabaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22617 ab:aba=1,aabaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22618 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:97,nodes:8,pairs:8,completionMax:25us [11m11s] 22618 ab:aba=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22618 ab:aba=1,aabaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22619 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:7,completionMax:15us [11m11s] 22619 ab:aba=1,aababa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22619 ab:aba=1,aababa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22620 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:3,completionMax:5us [11m11s] 22620 ab:aba=1,aababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22620 ab:aba=1,aababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22621 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:8,pairs:3,completionMax:4us [11m11s] 22621 ab:aba=1,aababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22621 ab:aba=1,aababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22622 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:8us [11m11s] 22622 ab:aba=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22622 ab:aba=1,aababa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22623 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:54,nodes:12,pairs:4,completionMax:11us [11m11s] 22623 ab:aba=1,aababb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22623 ab:aba=1,aababb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22624 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:61,nodes:8,pairs:5,completionMax:12us [11m11s] 22624 ab:aba=1,aababb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22624 ab:aba=1,aababb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22625 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:63,nodes:8,pairs:7,completionMax:9us [11m11s] 22625 ab:aba=1,aababb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22625 ab:aba=1,aababb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22626 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:177,nodes:12,pairs:10,completionMax:26us [11m11s] 22626 ab:aba=1,aababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22626 ab:aba=1,aababb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22627 solved: rounds:2,rules:2,peak:5,longest:6,steps:3,word:0,work:165,nodes:16,pairs:7,completionMax:24us [11m11s] 22627 ab:aba=1,aabbaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22627 ab:aba=1,aabbaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22628 solved: rounds:2,rules:2,peak:7,longest:6,steps:4,word:0,work:208,nodes:16,pairs:13,completionMax:32us [11m11s] 22628 ab:aba=1,aabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22628 ab:aba=1,aabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22629 solved: rounds:3,rules:2,peak:6,longest:30,steps:65,word:25,work:5570,nodes:68,pairs:28,completionMax:219us [11m11s] 22629 ab:aba=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22629 ab:aba=1,aabbaa=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22630 solved: rounds:2,rules:2,peak:6,longest:7,steps:8,word:4,work:565,nodes:24,pairs:9,completionMax:40us [11m11s] 22630 ab:aba=1,aabbab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22630 ab:aba=1,aabbab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22631 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:110,nodes:16,pairs:9,completionMax:24us [11m11s] 22631 ab:aba=1,aabbab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22631 ab:aba=1,aabbab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22632 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:119,nodes:16,pairs:9,completionMax:16us [11m11s] 22632 ab:aba=1,aabbab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22632 ab:aba=1,aabbab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22633 solved: rounds:3,rules:2,peak:5,longest:6,steps:4,word:0,work:209,nodes:18,pairs:16,completionMax:28us [11m11s] 22633 ab:aba=1,aabbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22633 ab:aba=1,aabbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22634 solved: rounds:5,rules:2,peak:4,longest:6,steps:7,word:2,work:285,nodes:22,pairs:13,completionMax:41us [11m11s] 22634 ab:aba=1,aabbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22634 ab:aba=1,aabbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22635 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:0,work:261,nodes:18,pairs:15,completionMax:34us [11m11s] 22635 ab:aba=1,aabbba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22635 ab:aba=1,aabbba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22636 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:185,nodes:16,pairs:10,completionMax:21us [11m11s] 22636 ab:aba=1,aabbba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22636 ab:aba=1,aabbba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22637 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:507,nodes:22,pairs:19,completionMax:44us [11m11s] 22637 ab:aba=1,aabbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22637 ab:aba=1,aabbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22638 solved: rounds:6,rules:2,peak:4,longest:8,steps:8,word:5,work:479,nodes:22,pairs:14,completionMax:57us [11m11s] 22638 ab:aba=1,aabbbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22638 ab:aba=1,aabbbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22639 solved: rounds:6,rules:2,peak:4,longest:6,steps:8,word:2,work:587,nodes:22,pairs:13,completionMax:48us [11m11s] 22639 ab:aba=1,aabbbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22639 ab:aba=1,aabbbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22640 solved: rounds:4,rules:2,peak:4,longest:6,steps:8,word:2,work:394,nodes:22,pairs:15,completionMax:39us [11m11s] 22640 ab:aba=1,aabbbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22640 ab:aba=1,aabbbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22641 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:0,work:241,nodes:20,pairs:12,completionMax:40us [11m11s] 22641 ab:aba=1,aabbbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22641 ab:aba=1,aabbbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22642 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:79,nodes:10,pairs:7,completionMax:18us [11m11s] 22642 ab:aba=1,abaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22642 ab:aba=1,abaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22643 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:5,completionMax:10us [11m11s] 22643 ab:aba=1,abaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22643 ab:aba=1,abaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22644 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:54,nodes:10,pairs:6,completionMax:19us [11m11s] 22644 ab:aba=1,abaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22644 ab:aba=1,abaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22645 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:96,nodes:8,pairs:8,completionMax:20us [11m11s] 22645 ab:aba=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22645 ab:aba=1,abaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22646 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:7,completionMax:13us [11m11s] 22646 ab:aba=1,abaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22646 ab:aba=1,abaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22647 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:3,completionMax:6us [11m11s] 22647 ab:aba=1,abaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22647 ab:aba=1,abaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22648 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:10us [11m11s] 22648 ab:aba=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22648 ab:aba=1,abaaba=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22649 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:53,nodes:12,pairs:4,completionMax:12us [11m11s] 22649 ab:aba=1,abaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22649 ab:aba=1,abaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22650 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:60,nodes:8,pairs:5,completionMax:13us [11m11s] 22650 ab:aba=1,abaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22650 ab:aba=1,abaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22651 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:62,nodes:8,pairs:7,completionMax:11us [11m11s] 22651 ab:aba=1,abaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22651 ab:aba=1,abaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22652 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:176,nodes:12,pairs:10,completionMax:28us [11m11s] 22652 ab:aba=1,abaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22652 ab:aba=1,abaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22653 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:28,nodes:10,pairs:7,completionMax:16us [11m11s] 22653 ab:aba=1,ababab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22653 ab:aba=1,ababab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22654 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:31,nodes:10,pairs:4,completionMax:11us [11m11s] 22654 ab:aba=1,ababab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22654 ab:aba=1,ababab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22655 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:30,nodes:10,pairs:4,completionMax:13us [11m11s] 22655 ab:aba=1,ababab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22655 ab:aba=1,ababab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22656 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:105,nodes:10,pairs:15,completionMax:29us [11m11s] 22656 ab:aba=1,ababab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22656 ab:aba=1,ababab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22657 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:60,nodes:12,pairs:4,completionMax:16us [11m11s] 22657 ab:aba=1,ababba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22657 ab:aba=1,ababba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22658 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:97,nodes:12,pairs:13,completionMax:27us [11m11s] 22658 ab:aba=1,ababba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22658 ab:aba=1,ababba=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22659 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:56,nodes:10,pairs:4,completionMax:14us [11m11s] 22659 ab:aba=1,ababba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22659 ab:aba=1,ababba=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22660 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:172,nodes:12,pairs:12,completionMax:33us [11m11s] 22660 ab:aba=1,ababba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22660 ab:aba=1,ababba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22661 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:170,nodes:16,pairs:10,completionMax:33us [11m11s] 22661 ab:aba=1,ababbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22661 ab:aba=1,ababbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22662 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:111,nodes:10,pairs:10,completionMax:30us [11m11s] 22662 ab:aba=1,ababbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22662 ab:aba=1,ababbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22663 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:97,nodes:10,pairs:10,completionMax:25us [11m11s] 22663 ab:aba=1,ababbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22663 ab:aba=1,ababbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22664 solved: rounds:5,rules:2,peak:4,longest:3,steps:3,word:0,work:98,nodes:10,pairs:5,completionMax:22us [11m11s] 22664 ab:aba=1,ababbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22664 ab:aba=1,ababbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22665 solved: rounds:2,rules:2,peak:6,longest:6,steps:8,word:4,work:729,nodes:28,pairs:11,completionMax:66us [11m11s] 22665 ab:aba=1,abbaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22665 ab:aba=1,abbaab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22666 solved: rounds:1,rules:2,peak:5,longest:6,steps:4,word:0,work:98,nodes:14,pairs:3,completionMax:17us [11m11s] 22666 ab:aba=1,abbaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22666 ab:aba=1,abbaab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22667 solved: rounds:1,rules:2,peak:5,longest:6,steps:4,word:0,work:102,nodes:14,pairs:4,completionMax:20us [11m11s] 22667 ab:aba=1,abbaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22667 ab:aba=1,abbaab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22668 solved: rounds:3,rules:2,peak:6,longest:6,steps:4,word:0,work:252,nodes:16,pairs:21,completionMax:45us [11m11s] 22668 ab:aba=1,abbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22668 ab:aba=1,abbaab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22669 solved: rounds:6,rules:2,peak:4,longest:8,steps:7,word:5,work:529,nodes:20,pairs:15,completionMax:64us [11m11s] 22669 ab:aba=1,abbabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22669 ab:aba=1,abbabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22670 solved: rounds:5,rules:2,peak:5,longest:6,steps:5,word:2,work:572,nodes:22,pairs:21,completionMax:64us [11m11s] 22670 ab:aba=1,abbabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22670 ab:aba=1,abbabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22671 solved: rounds:3,rules:2,peak:6,longest:6,steps:14,word:2,work:670,nodes:22,pairs:17,completionMax:58us [11m11s] 22671 ab:aba=1,abbabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22671 ab:aba=1,abbabb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22672 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:0,work:272,nodes:16,pairs:12,completionMax:48us [11m11s] 22672 ab:aba=1,abbabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22672 ab:aba=1,abbabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22673 solved: rounds:3,rules:2,peak:6,longest:8,steps:8,word:10,work:719,nodes:26,pairs:12,completionMax:70us [11m11s] 22673 ab:aba=1,abbbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22673 ab:aba=1,abbbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22674 solved: rounds:5,rules:2,peak:4,longest:6,steps:4,word:2,work:248,nodes:18,pairs:13,completionMax:36us [11m11s] 22674 ab:aba=1,abbbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22674 ab:aba=1,abbbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22675 solved: rounds:3,rules:2,peak:5,longest:9,steps:13,word:6,work:803,nodes:26,pairs:15,completionMax:46us [11m11s] 22675 ab:aba=1,abbbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22675 ab:aba=1,abbbab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22676 solved: rounds:4,rules:2,peak:4,longest:6,steps:7,word:0,work:271,nodes:14,pairs:13,completionMax:25us [11m11s] 22676 ab:aba=1,abbbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22676 ab:aba=1,abbbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22677 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:365,nodes:20,pairs:15,completionMax:50us [11m11s] 22677 ab:aba=1,abbbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22677 ab:aba=1,abbbba=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22678 solved: rounds:5,rules:2,peak:5,longest:6,steps:5,word:2,work:376,nodes:22,pairs:15,completionMax:50us [11m11s] 22678 ab:aba=1,abbbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22678 ab:aba=1,abbbba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22679 solved: rounds:5,rules:2,peak:4,longest:6,steps:9,word:0,work:413,nodes:16,pairs:14,completionMax:31us [11m11s] 22679 ab:aba=1,abbbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22679 ab:aba=1,abbbba=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22680 solved: rounds:7,rules:2,peak:4,longest:11,steps:8,word:8,work:832,nodes:22,pairs:13,completionMax:55us [11m11s] 22680 ab:aba=1,abbbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22680 ab:aba=1,abbbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22681 solved: rounds:7,rules:2,peak:4,longest:8,steps:6,word:5,work:427,nodes:20,pairs:13,completionMax:43us [11m11s] 22681 ab:aba=1,abbbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22681 ab:aba=1,abbbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22682 solved: rounds:5,rules:2,peak:5,longest:8,steps:11,word:5,work:845,nodes:20,pairs:18,completionMax:49us [11m11s] 22682 ab:aba=1,abbbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22682 ab:aba=1,abbbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22683 solved: rounds:5,rules:2,peak:5,longest:6,steps:9,word:2,work:992,nodes:20,pairs:19,completionMax:58us [11m11s] 22683 ab:aba=1,abbbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22683 ab:aba=1,abbbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22684 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:208,nodes:20,pairs:22,completionMax:38us [11m11s] 22684 ab:aba=1,baaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22684 ab:aba=1,baaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22685 solved: rounds:2,rules:2,peak:6,longest:6,steps:5,word:0,work:178,nodes:20,pairs:8,completionMax:24us [11m11s] 22685 ab:aba=1,baaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22685 ab:aba=1,baaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22686 solved: rounds:3,rules:2,peak:5,longest:8,steps:9,word:3,work:425,nodes:22,pairs:12,completionMax:63us [11m11s] 22686 ab:aba=1,baaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22686 ab:aba=1,baaaab=bb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22687 solved: rounds:2,rules:2,peak:6,longest:7,steps:13,word:4,work:968,nodes:24,pairs:16,completionMax:57us [11m11s] 22687 ab:aba=1,baaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22687 ab:aba=1,baaabb=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22688 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:0,work:168,nodes:20,pairs:16,completionMax:23us [11m11s] 22688 ab:aba=1,baaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22688 ab:aba=1,baaabb=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22689 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:113,nodes:20,pairs:10,completionMax:23us [11m11s] 22689 ab:aba=1,baaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22689 ab:aba=1,baaabb=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22690 solved: rounds:3,rules:2,peak:4,longest:6,steps:4,word:0,work:165,nodes:20,pairs:14,completionMax:22us [11m11s] 22690 ab:aba=1,baaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22690 ab:aba=1,baaabb=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22691 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:30,nodes:10,pairs:7,completionMax:13us [11m11s] 22691 ab:aba=1,baabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22691 ab:aba=1,baabab=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22692 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:33,nodes:10,pairs:4,completionMax:12us [11m11s] 22692 ab:aba=1,baabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22692 ab:aba=1,baabab=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22693 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:32,nodes:10,pairs:4,completionMax:8us [11m11s] 22693 ab:aba=1,baabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22693 ab:aba=1,baabab=ba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22694 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:107,nodes:10,pairs:15,completionMax:29us [11m11s] 22694 ab:aba=1,baabab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22694 ab:aba=1,baabab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22695 solved: rounds:3,rules:2,peak:5,longest:15,steps:22,word:15,work:1503,nodes:38,pairs:19,completionMax:89us [11m11s] 22695 ab:aba=1,baabbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22695 ab:aba=1,baabbb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22696 solved: rounds:3,rules:2,peak:6,longest:9,steps:13,word:6,work:1082,nodes:32,pairs:13,completionMax:68us [11m11s] 22696 ab:aba=1,baabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22696 ab:aba=1,baabbb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22697 solved: rounds:5,rules:2,peak:4,longest:6,steps:9,word:2,work:378,nodes:20,pairs:13,completionMax:38us [11m11s] 22697 ab:aba=1,baabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22697 ab:aba=1,baabbb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22698 solved: rounds:4,rules:2,peak:4,longest:6,steps:5,word:0,work:192,nodes:18,pairs:9,completionMax:32us [11m11s] 22698 ab:aba=1,baabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22698 ab:aba=1,baabbb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22699 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:171,nodes:16,pairs:10,completionMax:30us [11m11s] 22699 ab:aba=1,bababb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22699 ab:aba=1,bababb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22700 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:112,nodes:10,pairs:10,completionMax:23us [11m11s] 22700 ab:aba=1,bababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22700 ab:aba=1,bababb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22701 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:98,nodes:10,pairs:10,completionMax:22us [11m11s] 22701 ab:aba=1,bababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22701 ab:aba=1,bababb=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22702 solved: rounds:5,rules:2,peak:4,longest:3,steps:3,word:0,work:99,nodes:10,pairs:5,completionMax:16us [11m11s] 22702 ab:aba=1,bababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22702 ab:aba=1,bababb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22703 solved: rounds:3,rules:2,peak:5,longest:15,steps:22,word:15,work:1327,nodes:38,pairs:20,completionMax:75us [11m11s] 22703 ab:aba=1,babbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22703 ab:aba=1,babbab=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22704 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:2,work:260,nodes:20,pairs:12,completionMax:32us [11m11s] 22704 ab:aba=1,babbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22704 ab:aba=1,babbab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22705 solved: rounds:4,rules:2,peak:4,longest:6,steps:7,word:0,work:294,nodes:18,pairs:12,completionMax:27us [11m11s] 22705 ab:aba=1,babbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22705 ab:aba=1,babbab=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22706 solved: rounds:4,rules:2,peak:4,longest:11,steps:9,word:8,work:616,nodes:22,pairs:16,completionMax:57us [11m11s] 22706 ab:aba=1,babbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22706 ab:aba=1,babbbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22707 solved: rounds:3,rules:2,peak:6,longest:8,steps:23,word:10,work:1043,nodes:26,pairs:17,completionMax:84us [11m11s] 22707 ab:aba=1,babbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22707 ab:aba=1,babbbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22708 solved: rounds:6,rules:2,peak:4,longest:8,steps:6,word:5,work:343,nodes:20,pairs:13,completionMax:55us [11m11s] 22708 ab:aba=1,babbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22708 ab:aba=1,babbbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22709 solved: rounds:4,rules:2,peak:5,longest:6,steps:6,word:2,work:510,nodes:20,pairs:16,completionMax:57us [11m11s] 22709 ab:aba=1,babbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22709 ab:aba=1,babbbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22710 solved: rounds:5,rules:2,peak:4,longest:8,steps:8,word:5,work:327,nodes:16,pairs:12,completionMax:32us [11m11s] 22710 ab:aba=1,bbaabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22710 ab:aba=1,bbaabb=aa finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22711 solved: rounds:3,rules:2,peak:5,longest:9,steps:13,word:6,work:983,nodes:24,pairs:19,completionMax:59us [11m11s] 22711 ab:aba=1,bbaabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22711 ab:aba=1,bbaabb=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22712 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:0,work:148,nodes:16,pairs:7,completionMax:21us [11m11s] 22712 ab:aba=1,bbaabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22712 ab:aba=1,bbaabb=bb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22713 solved: rounds:5,rules:2,peak:4,longest:11,steps:9,word:8,work:681,nodes:22,pairs:16,completionMax:44us [11m11s] 22713 ab:aba=1,bbabbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22713 ab:aba=1,bbabbb=aa finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22714 solved: rounds:7,rules:2,peak:4,longest:8,steps:8,word:5,work:561,nodes:24,pairs:16,completionMax:43us [11m11s] 22714 ab:aba=1,bbabbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22714 ab:aba=1,bbabbb=ab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22715 solved: rounds:4,rules:2,peak:7,longest:12,steps:22,word:10,work:1595,nodes:32,pairs:21,completionMax:77us [11m11s] 22715 ab:aba=1,bbabbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22715 ab:aba=1,bbabbb=ba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22716 solved: rounds:7,rules:2,peak:4,longest:6,steps:7,word:2,work:529,nodes:16,pairs:13,completionMax:49us [11m11s] 22716 ab:aba=1,bbabbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22716 ab:aba=1,bbabbb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22717 solved: rounds:7,rules:2,peak:4,longest:14,steps:12,word:11,work:1278,nodes:28,pairs:17,completionMax:67us [11m11s] 22717 ab:aba=1,bbbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaaa=1,b=aaaaaaaaaaaa [11m11s] from: 22717 ab:aba=1,bbbbbb=aa finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a12;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bbbbbbbbbbbb [11m11s] # 22718 solved: rounds:8,rules:2,peak:4,longest:11,steps:7,word:8,work:925,nodes:22,pairs:18,completionMax:123us [11m11s] 22718 ab:aba=1,bbbbbb=ab finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22718 ab:aba=1,bbbbbb=ab finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22719 solved: rounds:8,rules:2,peak:4,longest:8,steps:6,word:5,work:405,nodes:16,pairs:13,completionMax:69us [11m11s] 22719 ab:aba=1,bbbbbb=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22719 ab:aba=1,bbbbbb=bb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22720 solved: rounds:1,rules:1,peak:2,longest:3,steps:1,word:0,work:19,nodes:6,pairs:4,completionMax:9us [11m11s] 22720 ab:aaa=1,aaaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 22720 ab:aaa=1,aaaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 22721 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:11,nodes:6,pairs:2,completionMax:5us [11m11s] 22721 ab:aaa=1,aaaaa=aab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 22721 ab:aaa=1,aaaaa=aab finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [11m11s] # 22722 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:42,nodes:10,pairs:4,completionMax:17us [11m11s] 22722 ab:aaa=1,aaaaa=aba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m11s] from: 22722 ab:aaa=1,aaaaa=aba finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=1 [11m11s] # 22723 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:2,work:185,nodes:24,pairs:8,completionMax:42us [11m11s] 22723 ab:aaa=1,aaaaa=abb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb b/a - - ab:bbbbbb=1,a=bb [11m11s] from: 22723 ab:aaa=1,aaaaa=abb finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b2;saturation:a:a6=1;cancellative;smith:6;group:a-bbbb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=b [11m11s] # 22724 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:2us [11m11s] 22724 ab:aaa=1,aaaaa=bab infinite;group:a-aa,b-aba ab - - ab:aaa=1,bab=aa [11m11s] from: 22724 ab:aaa=1,aaaaa=bab infinite;group:a-aa,b-aba to: 167 ab:aaa=1,abab=1 infinite;group:a-aa,b-aba a=a,b=b [11m11s] # 22725 solved: rounds:1,rules:2,peak:3,longest:9,steps:2,word:5,work:78,nodes:20,pairs:5,completionMax:21us [11m11s] 22725 ab:aaa=1,aaaaa=bbb finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbbbbb [11m11s] from: 22725 ab:aaa=1,aaaaa=bbb finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b6;saturation:a:a9=1;cancellative;smith:9;group:a-bbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaa,b=a [11m11s] # 22726 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m11s] 22726 ab:aaa=1,aaaab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 22726 ab:aaa=1,aaaab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 22727 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:6,pairs:2,completionMax:6us [11m11s] 22727 ab:aaa=1,aaaab=aab infinite ab - - ab:ab=b,aaa=1 [11m11s] from: 22727 ab:aaa=1,aaaab=aab infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [11m11s] # 22728 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:28,nodes:10,pairs:2,completionMax:9us [11m11s] 22728 ab:aaa=1,aaaab=aba infinite ab - - ab:ba=b,aaa=1 [11m11s] from: 22728 ab:aaa=1,aaaab=aba infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [11m11s] # 22729 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:10,pairs:1,completionMax:6us [11m11s] 22729 ab:aaa=1,aaaab=abb infinite ab - - ab:bb=b,aaa=1 [11m11s] from: 22729 ab:aaa=1,aaaab=abb infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [11m11s] # 22730 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:1,work:17,nodes:6,pairs:0,completionMax:3us [11m11s] 22730 ab:aaa=1,aaaab=baa infinite a/b - - ab:aaa=1,ab=baa [11m11s] from: 22730 ab:aaa=1,aaaab=baa infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [11m11s] # 22731 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:81,nodes:12,pairs:3,completionMax:14us [11m11s] 22731 ab:aaa=1,aaaab=bab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ab,baab=aab [11m11s] from: 22731 ab:aaa=1,aaaab=bab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa a=a,b=b [11m11s] # 22732 solved: rounds:4,rules:3,peak:7,longest:9,steps:11,word:4,work:919,nodes:34,pairs:16,completionMax:100us [11m11s] 22732 ab:aaa=1,aaaab=bba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [11m11s] from: 22732 ab:aaa=1,aaaab=bba finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [11m11s] # 22733 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:31,nodes:18,pairs:1,completionMax:12us [11m11s] 22733 ab:aaa=1,aaaab=bbb finite:21;idempotents:1,bbaa,bbbba,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbb,aaa=1 [11m11s] from: 22733 ab:aaa=1,aaaab=bbb finite:21;idempotents:1,bbaa,bbbba,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=a [11m11s] # 22734 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:9,nodes:8,pairs:1,completionMax:4us [11m11s] 22734 ab:aaa=1,aaaba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 22734 ab:aaa=1,aaaba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 22735 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:1,work:25,nodes:6,pairs:2,completionMax:9us [11m11s] 22735 ab:aaa=1,aaaba=aab infinite a/b - - ab:aaa=1,ab=baa [11m11s] from: 22735 ab:aaa=1,aaaba=aab infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [11m11s] # 22736 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:9us [11m11s] 22736 ab:aaa=1,aaaba=aba infinite ab - - ab:ab=b,aaa=1 [11m11s] from: 22736 ab:aaa=1,aaaba=aba infinite to: 451 ab:bab=ab,bbb=1 infinite a=b,b=a [11m11s] # 22737 solved: rounds:1,rules:3,peak:3,longest:8,steps:9,word:6,work:110,nodes:20,pairs:1,completionMax:14us [11m11s] 22737 ab:aaa=1,aaaba=abb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abb,aaa=1 [11m11s] from: 22737 ab:aaa=1,aaaba=abb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb a=a,b=b [11m11s] # 22738 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:6us [11m11s] 22738 ab:aaa=1,aaaba=baa infinite ab - - ab:ba=b,aaa=1 [11m11s] from: 22738 ab:aaa=1,aaaba=baa infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [11m11s] # 22739 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:3,completionMax:11us [11m11s] 22739 ab:aaa=1,aaaba=bab finite:12;idempotents:1,b,aaba,abaa ab - - ab:bb=b,aaa=1,bab=ba,baab=baa [11m11s] from: 22739 ab:aaa=1,aaaba=bab finite:12;idempotents:1,b,aaba,abaa to: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa anti:a=a,b=b [11m11s] # 22740 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:10,pairs:1,completionMax:5us [11m11s] 22740 ab:aaa=1,aaaba=bba infinite ab - - ab:bb=b,aaa=1 [11m11s] from: 22740 ab:aaa=1,aaaba=bba infinite to: 40 ab:aa=a,bbb=1 infinite a=b,b=a [11m11s] # 22741 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:36,nodes:18,pairs:1,completionMax:8us [11m11s] 22741 ab:aaa=1,aaaba=bbb finite:21;idempotents:1,aabb,abbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbb,aaa=1 [11m11s] from: 22741 ab:aaa=1,aaaba=bbb finite:21;idempotents:1,aabb,abbbb,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=a [11m11s] # 22742 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:1us [11m11s] 22742 ab:aaa=1,aaabb=aaa infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 22742 ab:aaa=1,aaabb=aaa infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 22743 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:2,completionMax:10us [11m11s] 22743 ab:aaa=1,aaabb=aab finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [11m11s] from: 22743 ab:aaa=1,aaabb=aab finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [11m11s] # 22744 solved: rounds:3,rules:5,peak:5,longest:8,steps:16,word:1,work:1189,nodes:28,pairs:5,completionMax:55us [11m11s] 22744 ab:aaa=1,aaabb=aba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [11m11s] from: 22744 ab:aaa=1,aaabb=aba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [11m11s] # 22745 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:8,pairs:0,completionMax:2us [11m11s] 22745 ab:aaa=1,aaabb=abb infinite ab - - ab:aaa=1,abb=bb [11m11s] from: 22745 ab:aaa=1,aaabb=abb infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [11m11s] # 22746 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:2,work:61,nodes:14,pairs:2,completionMax:9us [11m11s] 22746 ab:aaa=1,aaabb=baa finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [11m11s] from: 22746 ab:aaa=1,aaabb=baa finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [11m11s] # 22747 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:1us [11m11s] 22747 ab:aaa=1,aaabb=bab infinite ab - - ab:aaa=1,bab=bb [11m11s] from: 22747 ab:aaa=1,aaabb=bab infinite to: 8057 ab:aaa=1,abab=abb infinite a=a,b=b [11m11s] # 22748 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:10,pairs:0,completionMax:2us [11m11s] 22748 ab:aaa=1,aaabb=bba infinite ab - - ab:aaa=1,bba=bb [11m11s] from: 22748 ab:aaa=1,aaabb=bba infinite to: 2574 ab:aaa=1,aabb=bb infinite anti:a=a,b=b [11m11s] # 22749 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:3us [11m11s] 22749 ab:aaa=1,aaabb=bbb infinite ab - - ab:aaa=1,bbb=bb [11m11s] from: 22749 ab:aaa=1,aaabb=bbb infinite to: 8071 ab:aaa=1,abbb=abb infinite a=a,b=b [11m11s] # 22750 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:102,nodes:14,pairs:15,completionMax:19us [11m11s] 22750 ab:aaa=1,aabaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m11s] from: 22750 ab:aaa=1,aabaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m11s] # 22751 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:196,nodes:14,pairs:15,completionMax:24us [11m11s] 22751 ab:aaa=1,aabaa=aab infinite ab - - ab:ba=b,aaa=1 [11m11s] from: 22751 ab:aaa=1,aabaa=aab infinite to: 54 ab:ab=a,bbb=1 infinite a=b,b=a [11m11s] # 22752 solved: rounds:1,rules:2,peak:5,longest:5,steps:3,word:1,work:234,nodes:14,pairs:5,completionMax:22us [11m11s] 22752 ab:aaa=1,aabaa=aba infinite a/b - - ab:aaa=1,ab=baa [11m11s] from: 22752 ab:aaa=1,aabaa=aba infinite to: 141 ab:bab=a,bbb=1 infinite a=b,b=a [11m11s] # 22753 solved: rounds:2,rules:3,peak:5,longest:9,steps:46,word:124,work:2127,nodes:22,pairs:19,completionMax:85us [11m11s] 22753 ab:aaa=1,aabaa=abb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb b/a - - ab:bbbbbbbb=b,ba=abbbb,aaa=1 [11m11s] from: 22753 ab:aaa=1,aabaa=abb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=a [11m11s] # 22754 solved: rounds:5,rules:6,peak:7,longest:7,steps:5,word:2,work:1258,nodes:34,pairs:30,completionMax:133us [11m11s] 22754 ab:aaa=1,aabaa=bab finite:27;idempotents:1,bbbb;center:1,bb,bbbb b/a - - ab:bbbbb=b,babbbb=ba,bba=abb,baa=abab,baba=aab,aaa=1 [11m11s] from: 22754 ab:aaa=1,aabaa=bab finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 2435 ab:aaa=1,ababa=b finite:27;idempotents:1,bbbb;center:1,bb,bbbb a=a,b=b [11m11s] # 22755 solved: rounds:4,rules:9,peak:12,longest:27,steps:13,word:19,work:11011,nodes:162,pairs:46,completionMax:393us [11m11s] 22755 ab:aaa=1,aabaa=bbb finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=bbba,abba=babbbbbbbbbbbbbbbbbbbbb,abbba=b,baa=abbb,baba=ababbbbbbb,aaa=1 [11m11s] from: 22755 ab:aaa=1,aabaa=bbb finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 2441 ab:aaa=1,abbba=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22756 solved: rounds:3,rules:3,peak:5,longest:5,steps:3,word:0,work:91,nodes:14,pairs:7,completionMax:26us [11m11s] 22756 ab:aaa=1,aabab=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 22756 ab:aaa=1,aabab=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 22757 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:26,nodes:14,pairs:2,completionMax:9us [11m11s] 22757 ab:aaa=1,aabab=aab infinite ab - - ab:aaa=1,bab=b [11m11s] from: 22757 ab:aaa=1,aabab=aab infinite to: 2576 ab:aaa=1,abab=ab infinite a=a,b=b [11m11s] # 22758 solved: rounds:4,rules:6,peak:6,longest:6,steps:7,word:4,work:848,nodes:26,pairs:14,completionMax:76us [11m11s] 22758 ab:aaa=1,aabab=aba finite:24;idempotents:1,bbb;center:1,bbb a/b - - ab:aaa=1,bab=aaba,abb=baabaa,aabaab=bba,bbaab=abaa,bbbb=b [11m11s] from: 22758 ab:aaa=1,aabab=aba finite:24;idempotents:1,bbb;center:1,bbb to: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb a=a,b=b [11m11s] # 22759 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:1,work:247,nodes:18,pairs:7,completionMax:30us [11m11s] 22759 ab:aaa=1,aabab=abb infinite reversed:a/b - - ab:aaa=1,bab=aabb,baabb=abbb [11m11s] from: 22759 ab:aaa=1,aabab=abb infinite to: 2578 ab:aaa=1,abab=bb infinite a=a,b=b [11m11s] # 22760 solved: rounds:4,rules:6,peak:8,longest:6,steps:8,word:4,work:1146,nodes:32,pairs:29,completionMax:85us [11m11s] 22760 ab:aaa=1,aabab=baa finite:24;idempotents:1,bbb;center:1,bbb reversed:a/b - - ab:aaa=1,bab=abaa,bba=aabaab,baabaa=abb,baabb=aaba,bbbb=b [11m11s] from: 22760 ab:aaa=1,aabab=baa finite:24;idempotents:1,bbb;center:1,bbb to: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb anti:a=a,b=b [11m11s] # 22761 solved: rounds:1,rules:3,peak:5,longest:5,steps:2,word:2,work:73,nodes:15,pairs:5,completionMax:15us [11m11s] 22761 ab:aaa=1,aabab=bab infinite ac/b ab=c frequency:2/0 abc:aaa=1,acc=cc,b=aac [11m11s] from: 22761 ab:aaa=1,aabab=bab infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=aab,c=b [11m11s] # 22762 solved: rounds:2,rules:3,peak:4,longest:5,steps:8,word:4,work:166,nodes:14,pairs:6,completionMax:26us [11m11s] 22762 ab:aaa=1,aabab=bba infinite a/b - - ab:aaa=1,abb=babaa,aabab=bba [11m11s] from: 22762 ab:aaa=1,aabab=bba infinite to: 8066 ab:aaa=1,abba=bab infinite a=a,b=b [11m11s] # 22763 solved: rounds:3,rules:4,peak:4,longest:15,steps:21,word:21,work:1433,nodes:42,pairs:7,completionMax:38us [11m11s] 22763 ab:aaa=1,aabab=bbb infinite b/a - - ab:bbbbbbbbbbbbbbb=bbbbbbbb,bab=abbb,baabbb=aabbbbbbb,aaa=1 [11m11s] from: 22763 ab:aaa=1,aabab=bbb infinite to: 8073 ab:aaa=1,abbb=bab infinite a=a,b=b [11m11s] # 22764 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:67,nodes:14,pairs:9,completionMax:18us [11m11s] 22764 ab:aaa=1,aabba=aaa infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 22764 ab:aaa=1,aabba=aaa infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 22765 solved: rounds:3,rules:3,peak:7,longest:6,steps:3,word:1,work:597,nodes:20,pairs:24,completionMax:54us [11m11s] 22765 ab:aaa=1,aabba=aab finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [11m11s] from: 22765 ab:aaa=1,aabba=aab finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [11m11s] # 22766 solved: rounds:3,rules:3,peak:8,longest:5,steps:2,word:1,work:574,nodes:20,pairs:22,completionMax:52us [11m11s] 22766 ab:aaa=1,aabba=aba finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [11m11s] from: 22766 ab:aaa=1,aabba=aba finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [11m11s] # 22767 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:1,work:203,nodes:16,pairs:12,completionMax:27us [11m11s] 22767 ab:aaa=1,aabba=abb infinite a/b - - ab:aaa=1,abb=bbaa [11m11s] from: 22767 ab:aaa=1,aabba=abb infinite to: 2581 ab:aaa=1,abba=bb infinite a=a,b=b [11m11s] # 22768 solved: rounds:4,rules:5,peak:6,longest:9,steps:16,word:2,work:3304,nodes:30,pairs:21,completionMax:107us [11m11s] 22768 ab:aaa=1,aabba=baa finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [11m11s] from: 22768 ab:aaa=1,aabba=baa finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [11m11s] # 22769 solved: rounds:6,rules:7,peak:9,longest:16,steps:38,word:5,work:23918,nodes:98,pairs:20,completionMax:496us [11m11s] 22769 ab:aaa=1,aabba=bab infinite reversed:a/b - - ab:aaa=1,bba=abab,babaa=aabb,baababa=aabaabb,babababa=aabaabaabb,baabaabaabab=aabaabaabaabb,baabaabaabaabb=abaabaabaabbb [11m11s] from: 22769 ab:aaa=1,aabba=bab infinite to: 8060 ab:aaa=1,abab=bba infinite a=a,b=b [11m11s] # 22770 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:114,nodes:14,pairs:10,completionMax:22us [11m11s] 22770 ab:aaa=1,aabba=bba infinite ab - - ab:aaa=1,abb=bb [11m11s] from: 22770 ab:aaa=1,aabba=bba infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [11m11s] # 22771 solved: rounds:4,rules:5,peak:9,longest:23,steps:20,word:16,work:11232,nodes:142,pairs:26,completionMax:469us [11m11s] 22771 ab:aaa=1,aabba=bbb infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bb,babb=abbbbbbbbbbbbb,bba=abbb,baabb=aabbbbbbbbb,aaa=1 [11m11s] from: 22771 ab:aaa=1,aabba=bbb infinite to: 8074 ab:aaa=1,abbb=bba infinite a=a,b=b [11m11s] # 22772 solved: rounds:2,rules:2,peak:3,longest:9,steps:2,word:4,work:74,nodes:18,pairs:7,completionMax:19us [11m11s] 22772 ab:aaa=1,aabbb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22772 ab:aaa=1,aabbb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22773 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:26,nodes:14,pairs:2,completionMax:8us [11m11s] 22773 ab:aaa=1,aabbb=aab infinite ab - - ab:aaa=1,bbb=b [11m11s] from: 22773 ab:aaa=1,aabbb=aab infinite to: 2583 ab:aaa=1,abbb=ab infinite a=a,b=b [11m11s] # 22774 solved: rounds:2,rules:3,peak:4,longest:28,steps:29,word:24,work:1452,nodes:110,pairs:5,completionMax:126us [11m11s] 22774 ab:aaa=1,aabbb=aba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbb,aaa=1 [11m11s] from: 22774 ab:aaa=1,aabbb=aba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb to: 2584 ab:aaa=1,abbb=ba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22775 solved: rounds:3,rules:3,peak:4,longest:5,steps:2,word:1,work:84,nodes:16,pairs:8,completionMax:20us [11m11s] 22775 ab:aaa=1,aabbb=abb infinite b/a - - ab:bbbbb=bb,abb=bbbb,aaa=1 [11m11s] from: 22775 ab:aaa=1,aabbb=abb infinite to: 2585 ab:aaa=1,abbb=bb infinite a=a,b=b [11m11s] # 22776 solved: rounds:1,rules:3,peak:4,longest:27,steps:69,word:32,work:2823,nodes:60,pairs:2,completionMax:129us [11m11s] 22776 ab:aaa=1,aabbb=baa finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbbbbb,aaa=1 [11m11s] from: 22776 ab:aaa=1,aabbb=baa finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb to: 7507 ab:aaa=1,aabbba=b finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22777 solved: rounds:4,rules:9,peak:9,longest:11,steps:6,word:2,work:3178,nodes:78,pairs:13,completionMax:155us [11m11s] 22777 ab:aaa=1,aabbb=bab infinite b/a - - ab:bbbbbbbbbbb=bbbbb,babbbbbbbbb=babbb,bbabbbbbbbb=bbabb,bbbab=abbbb,aabbb=bab,abab=bbb,abbabb=bbabbbb,babbab=abbbbbb,aaa=1 [11m11s] from: 22777 ab:aaa=1,aabbb=bab infinite to: 8061 ab:aaa=1,abab=bbb infinite a=a,b=b [11m11s] # 22778 solved: rounds:7,rules:13,peak:21,longest:61,steps:28,word:84,work:163267,nodes:386,pairs:171,completionMax:3898us [11m11s] 22778 ab:aaa=1,aabbb=bba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bba,bbbbba=abbbbb,aabb=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abba=bbb,abbbba=bbbabbb,bbaa=bbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,bbaba=abbbabbb,bbbabbba=ababb,aaa=1,aababb=bbabbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,abababb=babbbabbbbbbbb,bababbba=ababbbabbbbbbbbbbbbbbbbbbb [11m11s] from: 22778 ab:aaa=1,aabbb=bba infinite to: 8067 ab:aaa=1,abba=bbb infinite a=a,b=b [11m11s] # 22779 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:18,nodes:14,pairs:2,completionMax:9us [11m11s] 22779 ab:aaa=1,aabbb=bbb infinite ab - - ab:aaa=1,abbb=bbb [11m11s] from: 22779 ab:aaa=1,aabbb=bbb infinite to: 8075 ab:aaa=1,abbb=bbb infinite a=a,b=b [11m11s] # 22780 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:0,work:172,nodes:18,pairs:12,completionMax:34us [11m11s] 22780 ab:aaa=1,abaab=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 22780 ab:aaa=1,abaab=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 22781 solved: rounds:4,rules:3,peak:5,longest:5,steps:2,word:1,work:171,nodes:18,pairs:15,completionMax:29us [11m11s] 22781 ab:aaa=1,abaab=aab finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [11m11s] from: 22781 ab:aaa=1,abaab=aab finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [11m11s] # 22782 solved: rounds:3,rules:3,peak:9,longest:5,steps:4,word:2,work:866,nodes:20,pairs:33,completionMax:111us [11m11s] 22782 ab:aaa=1,abaab=aba finite:12;idempotents:1,ab,bbb,aabb b/a - - ab:bbbb=b,ba=bbb,aaa=1 [11m11s] from: 22782 ab:aaa=1,abaab=aba finite:12;idempotents:1,ab,bbb,aabb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=b,b=a [11m11s] # 22783 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:43,nodes:18,pairs:2,completionMax:8us [11m11s] 22783 ab:aaa=1,abaab=abb infinite ab - - ab:aaa=1,baab=bb [11m11s] from: 22783 ab:aaa=1,abaab=abb infinite to: 2588 ab:aaa=1,baab=bb infinite a=a,b=b [11m11s] # 22784 solved: rounds:3,rules:7,peak:10,longest:6,steps:11,word:3,work:3323,nodes:38,pairs:41,completionMax:238us [11m11s] 22784 ab:aaa=1,abaab=baa finite:27;idempotents:1,bbb;center:1,bbb,baba a/b - - ab:aaa=1,baab=aabaa,abab=baba,bbab=aabba,babb=abbaa,abbb=bbba,bbbb=b [11m11s] from: 22784 ab:aaa=1,abaab=baa finite:27;idempotents:1,bbb;center:1,bbb,baba to: 7513 ab:aaa=1,abaaba=b finite:27;idempotents:1,bbb;center:1,bbb,baba a=a,b=b [11m11s] # 22785 solved: rounds:3,rules:5,peak:8,longest:5,steps:3,word:2,work:678,nodes:48,pairs:16,completionMax:60us [11m11s] 22785 ab:aaa=1,abaab=bab infinite ac/b ab=c frequency:2/0 abc:aaa=1,aacc=cac,acac=cc,ccac=accc,b=aac [11m11s] # 22786 solved: rounds:7,rules:8,peak:13,longest:15,steps:63,word:7,work:76748,nodes:132,pairs:71,completionMax:1552us [11m11s] 22786 ab:aaa=1,abaab=bba infinite reversed:a/b - - ab:aaa=1,bba=abaab,baabaa=aabb,babaaba=ababb,baababaa=aabaabb,baabababa=abababb,babababaab=ababababb,bababababb=aababababbb [11m11s] # 22787 solved: rounds:2,rules:4,peak:6,longest:16,steps:21,word:9,work:3041,nodes:76,pairs:8,completionMax:144us [11m11s] 22787 ab:aaa=1,abaab=bbb infinite b/a - - ab:bbbbbbbbbbbbbbb=bbbbbbbb,babbb=abbbbbbb,baab=aabbb,aaa=1 [11m11s] # 22788 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:0,work:154,nodes:16,pairs:9,completionMax:28us [11m11s] 22788 ab:aaa=1,ababa=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b ab - - ab:ba=ab,bb=1,aaa=1 [11m11s] from: 22788 ab:aaa=1,ababa=aaa finite:6;center:1,a,b,aa,ab,aab;commutative:ab:b2=1,a3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-aa,b-b to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bb,b=bbb [11m11s] # 22789 solved: rounds:3,rules:6,peak:8,longest:6,steps:9,word:3,work:1782,nodes:34,pairs:26,completionMax:103us [11m11s] 22789 ab:aaa=1,ababa=aab finite:24;idempotents:1,bbb;center:1,bbb reversed:a/b - - ab:aaa=1,bab=abaa,bba=aabaab,baabaa=abb,baabb=aaba,bbbb=b [11m11s] from: 22789 ab:aaa=1,ababa=aab finite:24;idempotents:1,bbb;center:1,bbb to: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb anti:a=a,b=b [11m11s] # 22790 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:176,nodes:18,pairs:4,completionMax:24us [11m11s] 22790 ab:aaa=1,ababa=aba infinite ab - - ab:aaa=1,bab=b [11m11s] from: 22790 ab:aaa=1,ababa=aba infinite to: 2576 ab:aaa=1,abab=ab infinite a=a,b=b [11m11s] # 22791 solved: rounds:2,rules:3,peak:6,longest:6,steps:4,word:1,work:720,nodes:28,pairs:18,completionMax:63us [11m11s] 22791 ab:aaa=1,ababa=abb infinite a/b - - ab:aaa=1,bab=bbaa,bbaab=bbba [11m11s] from: 22791 ab:aaa=1,ababa=abb infinite to: 2578 ab:aaa=1,abab=bb infinite anti:a=a,b=b [11m11s] # 22792 solved: rounds:1,rules:3,peak:5,longest:5,steps:3,word:2,work:163,nodes:18,pairs:8,completionMax:26us [11m11s] 22792 ab:aaa=1,ababa=bab infinite a/cb ab=c frequency:2/1 abc:aaa=1,b=aac,acc=ccaa [11m11s] from: 22792 ab:aaa=1,ababa=bab infinite to: 2581 ab:aaa=1,abba=bb infinite a=a,b=aab,c=b [11m11s] # 22793 solved: rounds:1,rules:4,peak:5,longest:5,steps:3,word:1,work:159,nodes:26,pairs:4,completionMax:29us [11m11s] 22793 ab:aaa=1,ababa=bbb infinite b/a - - ab:bbbba=abbbb,baba=aabbb,bbbaa=abab,aaa=1 [11m11s] # 22794 solved: rounds:4,rules:2,peak:7,longest:9,steps:8,word:4,work:1080,nodes:26,pairs:33,completionMax:93us [11m11s] 22794 ab:aaa=1,ababb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22794 ab:aaa=1,ababb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22795 solved: rounds:4,rules:4,peak:7,longest:5,steps:5,word:0,work:662,nodes:22,pairs:15,completionMax:50us [11m11s] 22795 ab:aaa=1,ababb=aab finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [11m11s] from: 22795 ab:aaa=1,ababb=aab finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [11m11s] # 22796 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:102,nodes:18,pairs:5,completionMax:25us [11m11s] 22796 ab:aaa=1,ababb=aba infinite ab - - ab:aaa=1,bbb=b,babb=ba,baabb=baa [11m11s] from: 22796 ab:aaa=1,ababb=aba infinite to: 2591 ab:aaa=1,babb=ba infinite a=a,b=b [11m11s] # 22797 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:23,nodes:18,pairs:1,completionMax:6us [11m11s] 22797 ab:aaa=1,ababb=abb infinite ab - - ab:aaa=1,babb=bb [11m11s] from: 22797 ab:aaa=1,ababb=abb infinite to: 2592 ab:aaa=1,babb=bb infinite a=a,b=b [11m11s] # 22798 solved: rounds:6,rules:11,peak:31,longest:25,steps:25,word:24,work:272963,nodes:336,pairs:973,completionMax:16991us [11m11s] 22798 ab:aaa=1,ababb=baa finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbb=ba,bbbbbbba=abbbbbbb,baa=ababb,baba=abbbbbabbb,babba=aab,babbba=abbbabbbbbbbbbbb,babbbbba=abbbbabbbbbb,babbbbbba=abbabbbbb,bbabbbba=abbbbbbabbbb,aaa=1 [11m11s] from: 22798 ab:aaa=1,ababb=baa finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb to: 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb a=a,b=b [11m11s] # 22799 solved: rounds:6,rules:9,peak:23,longest:14,steps:17,word:1,work:57085,nodes:168,pairs:121,completionMax:1841us [11m11s] 22799 ab:aaa=1,ababb=bab infinite b/a - - ab:babbbb=bab,bbbbbab=bbab,abab=babbb,abbbbab=bbbbabbb,babbbab=abbabbb,bbabbab=abbbabb,aaa=1,aabbab=babbabb,baabbbab=aabbbabb [11m11s] # 22800 solved: rounds:4,rules:18,peak:18,longest:19,steps:5,word:4,work:11311,nodes:114,pairs:56,completionMax:683us [11m11s] 22800 ab:aaa=1,ababb=bba infinite reversed:b/a - - ab:ababb=bba,aaa=1,babbaa=aabb,aabba=babb,aabbbba=babbbabb,aabbbabb=babbabba,babbbabbbabb=aabbbbbba,babbbabbabba=aabbbbbabb,aabaabb=babbbbaa,ababaabb=bbbabba,babbbabaabb=aabbbbbabba,aabbbaabb=babbbabbbbaa,aabbbbbabbbabb=babbbabbabbbba,aabbbbbabbabba=babbbabbabbbabb,babbbabbabaabb=aabbbbbabbbbaa,aabbbabaabb=babbabbbabba,aabbbbbabaabb=babbbabbabbbabba,aabbbbbabbabaabb=babbbabbabbbabbbbaa [11m11s] # 22801 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:11,nodes:16,pairs:1,completionMax:9us [11m11s] 22801 ab:aaa=1,ababb=bbb infinite ab - - ab:aaa=1,aabbb=babb,ababb=bbb [11m11s] # 22802 solved: rounds:2,rules:2,peak:4,longest:9,steps:4,word:4,work:217,nodes:22,pairs:11,completionMax:38us [11m11s] 22802 ab:aaa=1,abbab=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22802 ab:aaa=1,abbab=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22803 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:230,nodes:22,pairs:10,completionMax:37us [11m11s] 22803 ab:aaa=1,abbab=aab infinite ab - - ab:aaa=1,bbb=b,bbab=ab,bbaab=aab [11m11s] from: 22803 ab:aaa=1,abbab=aab infinite to: 2591 ab:aaa=1,babb=ba infinite anti:a=a,b=b [11m11s] # 22804 solved: rounds:4,rules:4,peak:12,longest:6,steps:5,word:0,work:2772,nodes:40,pairs:54,completionMax:207us [11m11s] 22804 ab:aaa=1,abbab=aba finite:21;idempotents:1,bb,aabba,abbaa ba - - ab:bbb=b,bab=bba,aaa=1,baab=bbaa [11m11s] # 22805 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:43,nodes:18,pairs:2,completionMax:9us [11m11s] 22805 ab:aaa=1,abbab=abb infinite ab - - ab:aaa=1,bbab=bb [11m11s] from: 22805 ab:aaa=1,abbab=abb infinite to: 2592 ab:aaa=1,babb=bb infinite anti:a=a,b=b [11m11s] # 22806 solved: rounds:6,rules:11,peak:42,longest:32,steps:27,word:24,work:429045,nodes:476,pairs:1288,completionMax:18532us [11m11s] 22806 ab:aaa=1,abbab=baa finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbb=ba,bbbbbbba=abbbbbbb,baa=abbab,baba=abbbbbbabbbbbbbbbb,babba=abbbbbabbbb,babbba=abbbabbbbbbbbb,babbbbba=abbbbabbbbbb,babbbbbba=aabbbbb,bbabbbba=ababbbbbbbbb,aaa=1 [11m11s] # 22807 solved: rounds:2,rules:4,peak:6,longest:7,steps:5,word:1,work:1003,nodes:38,pairs:9,completionMax:68us [11m11s] 22807 ab:aaa=1,abbab=bab infinite a/b - - ab:aaa=1,bbab=aabab,babab=bab,baabab=abab [11m11s] # 22808 solved: rounds:5,rules:11,peak:22,longest:9,steps:10,word:4,work:32727,nodes:86,pairs:193,completionMax:1543us [11m11s] 22808 ab:aaa=1,abbab=bba infinite b/a - - ab:bbbbb=bb,bbabbb=bba,bbba=abbb,abba=bbabb,bababb=ababbb,bbaabbb=bbaa,bbaba=ababb,aaa=1,aababb=bbaa,abaabb=baabbbb,bbaaba=baabbbb [11m11s] # 22809 solved: rounds:2,rules:5,peak:5,longest:7,steps:2,word:0,work:171,nodes:22,pairs:3,completionMax:22us [11m11s] 22809 ab:aaa=1,abbab=bbb infinite ba - - ab:aaa=1,abbab=bbb,aabbb=bbab,abbbbb=bbbbab,abbbbab=bbabbb [11m11s] # 22810 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:2,work:159,nodes:20,pairs:11,completionMax:27us [11m11s] 22810 ab:aaa=1,abbba=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22810 ab:aaa=1,abbba=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22811 solved: rounds:5,rules:3,peak:7,longest:30,steps:35,word:17,work:4266,nodes:112,pairs:29,completionMax:215us [11m11s] 22811 ab:aaa=1,abbba=aab finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbbbbb,aaa=1 [11m11s] from: 22811 ab:aaa=1,abbba=aab finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb to: 7507 ab:aaa=1,aabbba=b finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22812 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:0,work:86,nodes:18,pairs:4,completionMax:17us [11m11s] 22812 ab:aaa=1,abbba=aba infinite ab - - ab:aaa=1,bbb=b [11m11s] from: 22812 ab:aaa=1,abbba=aba infinite to: 2583 ab:aaa=1,abbb=ab infinite a=a,b=b [11m11s] # 22813 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:1,work:244,nodes:22,pairs:11,completionMax:26us [11m11s] 22813 ab:aaa=1,abbba=abb infinite b/a - - ab:bbbbb=bb,bba=bbbb,aaa=1 [11m11s] from: 22813 ab:aaa=1,abbba=abb infinite to: 2585 ab:aaa=1,abbb=bb infinite anti:a=a,b=b [11m11s] 22814 ab:aaa=1,abbba=bab hard possibly-finite [11m11s] # 22815 solved: rounds:1,rules:2,peak:3,longest:5,steps:5,word:3,work:109,nodes:12,pairs:3,completionMax:19us [11m11s] 22815 ab:aaa=1,abbba=bbb infinite a/b - - ab:aaa=1,abbb=bbbaa [11m11s] # 22816 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:7,work:98,nodes:32,pairs:5,completionMax:31us [11m11s] 22816 ab:aaa=1,abbbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 22816 ab:aaa=1,abbbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 22817 solved: rounds:1,rules:3,peak:4,longest:10,steps:3,word:4,work:74,nodes:24,pairs:2,completionMax:18us [11m11s] 22817 ab:aaa=1,abbbb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [11m11s] from: 22817 ab:aaa=1,abbbb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [11m11s] # 22818 solved: rounds:2,rules:3,peak:4,longest:11,steps:2,word:4,work:156,nodes:42,pairs:6,completionMax:33us [11m11s] 22818 ab:aaa=1,abbbb=aba finite:30;idempotents:1,aabbb,abbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=bbbb,aaa=1 [11m11s] from: 22818 ab:aaa=1,abbbb=aba finite:30;idempotents:1,aabbb,abbbbbb,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb anti:a=a,b=b [11m11s] # 22819 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:18,pairs:1,completionMax:8us [11m11s] 22819 ab:aaa=1,abbbb=abb infinite ab - - ab:aaa=1,bbbb=bb [11m11s] from: 22819 ab:aaa=1,abbbb=abb infinite to: 2595 ab:aaa=1,bbbb=bb infinite a=a,b=b [11m11s] # 22820 solved: rounds:5,rules:11,peak:22,longest:96,steps:56,word:166,work:599372,nodes:640,pairs:103,completionMax:38678us [11m11s] 22820 ab:aaa=1,abbbb=baa finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbba=abbbbb,aab=bbbba,abbba=babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbba=b,baa=abbbb,baba=abbabbbbbbbbb,bbbbabba=ababbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aaa=1,abbabba=babbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m11s] from: 22820 ab:aaa=1,abbbb=baa finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7529 ab:aaa=1,abbbba=b finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 22821 solved: rounds:2,rules:4,peak:4,longest:40,steps:52,word:104,work:5510,nodes:94,pairs:4,completionMax:331us [11m11s] 22821 ab:aaa=1,abbbb=bab infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbbbbbbbbbb,bab=abbbb,baabbbb=aabbbbbbbbbbbbb,aaa=1 [11m11s] # 22822 solved: rounds:1,rules:3,peak:3,longest:16,steps:9,word:12,work:335,nodes:36,pairs:1,completionMax:30us [11m11s] 22822 ab:aaa=1,abbbb=bba infinite b/a - - ab:bbbbbbbbbbbbbbbb=bb,bba=abbbb,aaa=1 [11m11s] # 22823 solved: rounds:3,rules:3,peak:4,longest:6,steps:2,word:1,work:125,nodes:20,pairs:6,completionMax:21us [11m11s] 22823 ab:aaa=1,abbbb=bbb infinite b/a - - ab:bbbbbb=bbb,abbb=bbbbb,aaa=1 [11m11s] # 22824 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m11s] 22824 ab:aaa=1,baaab=aaa infinite;group:a-aa,b-b ab - - ab:bb=1,aaa=1 [11m11s] from: 22824 ab:aaa=1,baaab=aaa infinite;group:a-aa,b-b to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=b,b=a [11m11s] # 22825 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:43,nodes:12,pairs:2,completionMax:9us [11m11s] 22825 ab:aaa=1,baaab=aab finite:12;idempotents:1,ba,bbb,bbaa b/a - - ab:bbbb=b,ab=bbb,aaa=1 [11m11s] from: 22825 ab:aaa=1,baaab=aab finite:12;idempotents:1,ba,bbb,bbaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=a [11m11s] # 22826 solved: rounds:3,rules:5,peak:5,longest:8,steps:16,word:1,work:1190,nodes:28,pairs:5,completionMax:59us [11m11s] 22826 ab:aaa=1,baaab=aba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa a/b - - ab:aaa=1,bb=aba,abab=baba,babaab=aabaaba,abaabaab=baabaaba [11m11s] from: 22826 ab:aaa=1,baaab=aba finite:27;idempotents:1,baabaabaa;center:1,baba,baabaabaa to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=a [11m11s] # 22827 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:3us [11m11s] 22827 ab:aaa=1,baaab=abb infinite ab - - ab:aaa=1,abb=bb [11m11s] from: 22827 ab:aaa=1,baaab=abb infinite to: 2574 ab:aaa=1,aabb=bb infinite a=a,b=b [11m11s] # 22828 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [11m11s] 22828 ab:aaa=1,baaab=bab infinite ab - - ab:aaa=1,bab=bb [11m11s] from: 22828 ab:aaa=1,baaab=bab infinite to: 8057 ab:aaa=1,abab=abb infinite a=a,b=b [11m11s] # 22829 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:3us [11m11s] 22829 ab:aaa=1,baaab=bbb infinite ab - - ab:aaa=1,bbb=bb [11m11s] from: 22829 ab:aaa=1,baaab=bbb infinite to: 8071 ab:aaa=1,abbb=abb infinite a=a,b=b [11m11s] # 22830 solved: rounds:4,rules:2,peak:7,longest:10,steps:5,word:4,work:872,nodes:38,pairs:25,completionMax:110us [11m11s] 22830 ab:aaa=1,baabb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22830 ab:aaa=1,baabb=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22831 solved: rounds:3,rules:4,peak:6,longest:7,steps:4,word:0,work:640,nodes:26,pairs:13,completionMax:46us [11m11s] 22831 ab:aaa=1,baabb=aab finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [11m11s] from: 22831 ab:aaa=1,baabb=aab finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [11m11s] # 22832 solved: rounds:6,rules:11,peak:41,longest:18,steps:27,word:24,work:339328,nodes:282,pairs:870,completionMax:15642us [11m11s] 22832 ab:aaa=1,baabb=aba finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbb=ba,bbbbbbba=abbbbbbb,baa=ababbbbbbbbbbbb,baba=abbbbbbabbbbbbbbbb,babba=abbbbbabbbb,babbba=abbabbbbbb,babbbba=abbbbabbbbbbbbb,babbbbba=aabbbbbbbb,bbabbbbbba=abbbabbbbbbbbb,aaa=1 [11m11s] # 22833 solved: rounds:1,rules:5,peak:5,longest:5,steps:2,word:1,work:69,nodes:21,pairs:5,completionMax:13us [11m11s] 22833 ab:aaa=1,baabb=abb infinite a/cb bb=c frequency:2/2 abc:aaa=1,bc=cb,bac=caac,baac=ac,bb=c [11m11s] # 22834 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:89,nodes:18,pairs:3,completionMax:18us [11m11s] 22834 ab:aaa=1,baabb=baa infinite ab - - ab:aaa=1,bbb=b,babb=ba,baabb=baa [11m11s] from: 22834 ab:aaa=1,baabb=baa infinite to: 2591 ab:aaa=1,babb=ba infinite a=a,b=b [11m11s] # 22835 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:3us [11m11s] 22835 ab:aaa=1,baabb=bab infinite ab - - ab:aaa=1,baabb=bab [11m11s] # 22836 solved: rounds:4,rules:9,peak:11,longest:11,steps:6,word:4,work:6508,nodes:82,pairs:35,completionMax:242us [11m11s] 22836 ab:aaa=1,baabb=bba infinite reversed:b/a - - ab:bbbbbbbbb=bbb,bbbbbbbbab=bbab,bbabbb=bbbbba,bbbaa=bbbbbbbab,bbaba=bbbb,bbabba=bbbbabb,bbaab=bbbbbbabb,baabb=bba,aaa=1 [11m11s] # 22837 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:5us [11m11s] 22837 ab:aaa=1,baabb=bbb infinite ab - - ab:aaa=1,baabb=bbb [11m11s] # 22838 solved: rounds:2,rules:2,peak:4,longest:9,steps:6,word:4,work:200,nodes:22,pairs:5,completionMax:19us [11m11s] 22838 ab:aaa=1,babab=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,a=bbb [11m11s] from: 22838 ab:aaa=1,babab=aaa finite:9;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=1,a=b3;saturation:a:a9=1;cancellative;smith:9;group:a-bbbbbb,b-bbbbbbbb to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaa,b=a [11m11s] # 22839 solved: rounds:2,rules:4,peak:7,longest:5,steps:5,word:0,work:729,nodes:22,pairs:11,completionMax:39us [11m11s] 22839 ab:aaa=1,babab=aab finite:21;idempotents:1,bb,aabba,abbaa ab - - ab:aaa=1,bab=abb,bbb=b,baab=aabb [11m11s] from: 22839 ab:aaa=1,babab=aab finite:21;idempotents:1,bb,aabba,abbaa to: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa a=a,b=b [11m11s] # 22840 solved: rounds:6,rules:12,peak:24,longest:12,steps:17,word:12,work:48759,nodes:136,pairs:203,completionMax:2208us [11m11s] 22840 ab:aaa=1,babab=aba finite:147;idempotents:1,bbbbbbbb;center:1,bbbb,aabaab,abbbabbb,bbbbbbbb,aabaabbbbb,abbbabbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbba=abbbb,baabbbbbbbb=baa,baba=ababbbbbbb,babbba=abbbab,bbaa=abbabbbbbb,bbabba=aabbbbbb,aaa=1,baaba=abaab,baabba=aabbabbbbbbb,baabbba=ababbabbbbbbb [11m11s] # 22841 solved: rounds:6,rules:12,peak:15,longest:9,steps:10,word:2,work:16649,nodes:96,pairs:59,completionMax:647us [11m11s] 22841 ab:aaa=1,babab=abb infinite b/a - - ab:bbbbbbb=bbbb,babbbbbb=babbb,bbabbbbb=bbabb,bbbab=abbbb,ababbb=bbabbbb,baabb=abbab,babab=abb,bbabbab=aabbbbb,aaa=1,aabbabb=babbbb,ababbabb=babbabbbb,baababb=ababbab [11m11s] # 22842 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:30,nodes:14,pairs:0,completionMax:4us [11m11s] 22842 ab:aaa=1,babab=bab infinite ab - - ab:aaa=1,babab=bab [11m11s] # 22843 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:96,nodes:20,pairs:1,completionMax:11us [11m11s] 22843 ab:aaa=1,babab=bbb infinite ab - - ab:aaa=1,babab=bbb,bbbab=babbb [11m11s] # 22844 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:484,nodes:24,pairs:10,completionMax:54us [11m11s] 22844 ab:aaa=1,babbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 22844 ab:aaa=1,babbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 22845 solved: rounds:4,rules:3,peak:7,longest:10,steps:5,word:4,work:1214,nodes:40,pairs:21,completionMax:117us [11m11s] 22845 ab:aaa=1,babbb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [11m11s] from: 22845 ab:aaa=1,babbb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [11m11s] 22846 ab:aaa=1,babbb=aba hard possibly-finite [11m11s] # 22847 solved: rounds:3,rules:4,peak:7,longest:7,steps:8,word:0,work:1851,nodes:32,pairs:32,completionMax:132us [11m11s] 22847 ab:aaa=1,babbb=abb infinite ab - - ab:aaa=1,babb=abbb,bbbb=bb,baabb=aabbb [11m11s] # 22848 solved: rounds:2,rules:3,peak:4,longest:10,steps:2,word:4,work:125,nodes:24,pairs:6,completionMax:27us [11m11s] 22848 ab:aaa=1,babbb=baa finite:30;idempotents:1,aabbb,abbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ba=bbbb,aaa=1 [11m11s] from: 22848 ab:aaa=1,babbb=baa finite:30;idempotents:1,aabbb,abbbbbb,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb anti:a=a,b=b [11m11s] # 22849 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:3us [11m11s] 22849 ab:aaa=1,babbb=bab infinite ab - - ab:aaa=1,babbb=bab [11m11s] # 22850 solved: rounds:4,rules:4,peak:6,longest:29,steps:58,word:34,work:9349,nodes:100,pairs:18,completionMax:713us [11m11s] 22850 ab:aaa=1,babbb=bba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bba=babbb,aaa=1,babababb=bbbbbbbbbbbbbbb [11m11s] # 22851 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:12,nodes:14,pairs:0,completionMax:3us [11m11s] 22851 ab:aaa=1,babbb=bbb infinite ab - - ab:aaa=1,babbb=bbb [11m11s] # 22852 solved: rounds:5,rules:2,peak:5,longest:12,steps:5,word:7,work:500,nodes:24,pairs:17,completionMax:53us [11m11s] 22852 ab:aaa=1,bbabb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbbbb [11m11s] from: 22852 ab:aaa=1,bbabb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b8;saturation:a:a12=1;cancellative;smith:12;group:a-bbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbbbb,b=b [11m11s] # 22853 solved: rounds:3,rules:3,peak:7,longest:10,steps:8,word:6,work:1149,nodes:38,pairs:28,completionMax:98us [11m11s] 22853 ab:aaa=1,bbabb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,ab=bbbb,aaa=1 [11m11s] from: 22853 ab:aaa=1,bbabb=aab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb a=a,b=b [11m11s] # 22854 solved: rounds:7,rules:19,peak:42,longest:54,steps:45,word:76,work:1376731,nodes:738,pairs:1161,completionMax:62924us [11m11s] 22854 ab:aaa=1,bbabb=aba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,abbbabbb,bbbbbbbbbb,abbbabbbbbbbb,bbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbbba=abbbbb,aba=bbabb,baabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=baa,babbba=abbbab,aaa=1,aabba=babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aabbba=bbaabbbb,aabbbba=babbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbaa=bbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbabba=bbbabbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbaa=bbbbaabb,abbbabba=baabbbbbbb,abbbabbbba=bbbaabbbbbbb,abbbbaa=bbbabbbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbbabbbba=bbbbabbabbbbbbbbbbbbbb,babbabbbba=abbabbbbabbbbbbbbbbbbbbbbbbb,babbbbabba=abbbbabbabbbbbbbbbbbbbbbbbbb [11m11s] # 22855 solved: rounds:2,rules:7,peak:7,longest:5,steps:4,word:1,work:333,nodes:33,pairs:9,completionMax:44us [11m11s] 22855 ab:aaa=1,bbabb=abb infinite ca/b abb=c frequency:3/0 abc:ac=cc,aaa=1,cccc=c,cbccc=cb,abc=cbc,cccb=bccc,bb=ccc [11m11s] # 22856 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:105,nodes:16,pairs:1,completionMax:11us [11m11s] 22856 ab:aaa=1,bbabb=bab infinite ab - - ab:aaa=1,bbabb=bab,bbabab=bababb [11m11s] # 22857 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:14,pairs:0,completionMax:4us [11m11s] 22857 ab:aaa=1,bbabb=bbb infinite ab - - ab:aaa=1,bbabb=bbb [11m11s] # 22858 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:3,nodes:14,pairs:0,completionMax:4us [11m11s] 22858 ab:aaa=1,bbbbb=aaa infinite;group:a-aa,b-bbbb ab - - ab:aaa=1,bbbbb=1 [11m11s] from: 22858 ab:aaa=1,bbbbb=aaa infinite;group:a-aa,b-bbbb to: 683 ab:aaa=1,bbbbb=1 infinite;group:a-aa,b-bbbb a=a,b=b [11m11s] # 22859 solved: rounds:1,rules:3,peak:4,longest:13,steps:2,word:7,work:93,nodes:30,pairs:2,completionMax:15us [11m11s] 22859 ab:aaa=1,bbbbb=aab finite:39;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbbbbbb,aaa=1 [11m11s] from: 22859 ab:aaa=1,bbbbb=aab finite:39;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbb to: 7531 ab:aaa=1,abbbbb=b finite:39;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbb a=a,b=b [11m11s] # 22860 solved: rounds:8,rules:17,peak:52,longest:14,steps:82,word:24,work:244362,nodes:380,pairs:1101,completionMax:8248us [11m11s] 22860 ab:aaa=1,bbbbb=aba infinite cd/a/b bb=c,aaccaaccaa=d frequency:2/1,10/0 abcd:dc=cd,cccd=c,ccdd=d,caccd=ca,da=cacdd,ccca=accc,caaccd=caa,caca=aacccccccc,ccaa=acacddd,aaa=1,bccd=b,baccd=ba,baaccd=baa,cb=bc,db=bd,ab=bacacddd,bb=c [11m11s] # 22861 solved: rounds:1,rules:3,peak:3,longest:11,steps:2,word:4,work:79,nodes:28,pairs:1,completionMax:18us [11m11s] 22861 ab:aaa=1,bbbbb=abb infinite b/a - - ab:bbbbbbbbbbb=bb,abb=bbbbb,aaa=1 [11m11s] # 22862 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:10,nodes:10,pairs:0,completionMax:4us [11m11s] 22862 ab:aaa=1,bbbbb=bab infinite b/a - - ab:bab=bbbbb,aaa=1 [11m11s] # 22863 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:14,pairs:0,completionMax:5us [11m11s] 22863 ab:aaa=1,bbbbb=bbb infinite ab - - ab:aaa=1,bbbbb=bbb [11m11s] # 22864 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:116,nodes:10,pairs:6,completionMax:26us [11m11s] 22864 ab:aab=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22864 ab:aab=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22865 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:2,work:10,nodes:10,pairs:2,completionMax:7us [11m11s] 22865 ab:aab=1,aaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22865 ab:aab=1,aaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22866 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:107,nodes:14,pairs:6,completionMax:32us [11m11s] 22866 ab:aab=1,aaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22866 ab:aab=1,aaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22867 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:5,work:18,nodes:16,pairs:3,completionMax:12us [11m11s] 22867 ab:aab=1,aaaaa=abb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22867 ab:aab=1,aaaaa=abb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22868 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:2,work:115,nodes:18,pairs:6,completionMax:27us [11m11s] 22868 ab:aab=1,aaaaa=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22868 ab:aab=1,aaaaa=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22869 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:226,nodes:28,pairs:17,completionMax:36us [11m11s] 22869 ab:aab=1,aaaaa=bab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22869 ab:aab=1,aaaaa=bab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22870 solved: rounds:3,rules:2,peak:5,longest:9,steps:2,word:5,work:161,nodes:20,pairs:11,completionMax:37us [11m11s] 22870 ab:aab=1,aaaaa=bba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22870 ab:aab=1,aaaaa=bba finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22871 solved: rounds:2,rules:2,peak:6,longest:12,steps:2,word:8,work:340,nodes:30,pairs:9,completionMax:65us [11m11s] 22871 ab:aab=1,aaaaa=bbb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 22871 ab:aab=1,aaaaa=bbb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 22872 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:45,nodes:6,pairs:4,completionMax:9us [11m11s] 22872 ab:aab=1,aaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22872 ab:aab=1,aaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22873 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:2,completionMax:4us [11m11s] 22873 ab:aab=1,aaaab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22873 ab:aab=1,aaaab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22874 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:63,nodes:8,pairs:7,completionMax:24us [11m11s] 22874 ab:aab=1,aaaab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22874 ab:aab=1,aaaab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22875 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:17,nodes:10,pairs:3,completionMax:11us [11m11s] 22875 ab:aab=1,aaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22875 ab:aab=1,aaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22876 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:62,nodes:12,pairs:6,completionMax:20us [11m11s] 22876 ab:aab=1,aaaab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22876 ab:aab=1,aaaab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22877 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:112,nodes:16,pairs:10,completionMax:29us [11m11s] 22877 ab:aab=1,aaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22877 ab:aab=1,aaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22878 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:101,nodes:14,pairs:10,completionMax:35us [11m11s] 22878 ab:aab=1,aaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22878 ab:aab=1,aaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22879 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:82,nodes:16,pairs:9,completionMax:22us [11m11s] 22879 ab:aab=1,aaaab=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22879 ab:aab=1,aaaab=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22880 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:44,nodes:6,pairs:4,completionMax:9us [11m11s] 22880 ab:aab=1,aaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22880 ab:aab=1,aaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22881 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:2,completionMax:5us [11m11s] 22881 ab:aab=1,aaaba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22881 ab:aab=1,aaaba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22882 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:62,nodes:8,pairs:7,completionMax:14us [11m11s] 22882 ab:aab=1,aaaba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22882 ab:aab=1,aaaba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22883 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:16,nodes:10,pairs:3,completionMax:8us [11m11s] 22883 ab:aab=1,aaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22883 ab:aab=1,aaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22884 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:61,nodes:12,pairs:6,completionMax:14us [11m11s] 22884 ab:aab=1,aaaba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22884 ab:aab=1,aaaba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22885 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:111,nodes:16,pairs:10,completionMax:29us [11m11s] 22885 ab:aab=1,aaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22885 ab:aab=1,aaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22886 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:100,nodes:14,pairs:10,completionMax:32us [11m11s] 22886 ab:aab=1,aaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22886 ab:aab=1,aaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22887 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:81,nodes:16,pairs:9,completionMax:31us [11m11s] 22887 ab:aab=1,aaaba=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22887 ab:aab=1,aaaba=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22888 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:8,pairs:2,completionMax:8us [11m11s] 22888 ab:aab=1,aaabb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22888 ab:aab=1,aaabb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22889 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:2,completionMax:4us [11m11s] 22889 ab:aab=1,aaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22889 ab:aab=1,aaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22890 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:39,nodes:10,pairs:5,completionMax:14us [11m11s] 22890 ab:aab=1,aaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22890 ab:aab=1,aaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22891 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:13,nodes:8,pairs:2,completionMax:7us [11m11s] 22891 ab:aab=1,aaabb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22891 ab:aab=1,aaabb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22892 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:147,nodes:14,pairs:17,completionMax:28us [11m11s] 22892 ab:aab=1,aaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22892 ab:aab=1,aaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22893 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:26,nodes:10,pairs:3,completionMax:9us [11m11s] 22893 ab:aab=1,aaabb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22893 ab:aab=1,aaabb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22894 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:10,pairs:8,completionMax:19us [11m11s] 22894 ab:aab=1,aaabb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22894 ab:aab=1,aaabb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22895 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:107,nodes:14,pairs:10,completionMax:32us [11m11s] 22895 ab:aab=1,aaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22895 ab:aab=1,aaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22896 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:43,nodes:6,pairs:4,completionMax:8us [11m11s] 22896 ab:aab=1,aabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22896 ab:aab=1,aabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22897 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:5us [11m11s] 22897 ab:aab=1,aabaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22897 ab:aab=1,aabaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22898 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:61,nodes:8,pairs:7,completionMax:17us [11m11s] 22898 ab:aab=1,aabaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22898 ab:aab=1,aabaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22899 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:15,nodes:10,pairs:3,completionMax:11us [11m11s] 22899 ab:aab=1,aabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22899 ab:aab=1,aabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22900 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:60,nodes:12,pairs:6,completionMax:18us [11m11s] 22900 ab:aab=1,aabaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22900 ab:aab=1,aabaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22901 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:2,work:110,nodes:16,pairs:10,completionMax:30us [11m11s] 22901 ab:aab=1,aabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22901 ab:aab=1,aabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22902 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:99,nodes:14,pairs:10,completionMax:28us [11m11s] 22902 ab:aab=1,aabaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22902 ab:aab=1,aabaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22903 solved: rounds:3,rules:2,peak:4,longest:8,steps:2,word:5,work:80,nodes:16,pairs:9,completionMax:25us [11m11s] 22903 ab:aab=1,aabaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22903 ab:aab=1,aabaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22904 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:7,nodes:8,pairs:2,completionMax:6us [11m11s] 22904 ab:aab=1,aabab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22904 ab:aab=1,aabab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22905 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:2,completionMax:4us [11m11s] 22905 ab:aab=1,aabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22905 ab:aab=1,aabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22906 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:38,nodes:10,pairs:5,completionMax:11us [11m11s] 22906 ab:aab=1,aabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22906 ab:aab=1,aabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22907 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:12,nodes:8,pairs:2,completionMax:5us [11m11s] 22907 ab:aab=1,aabab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22907 ab:aab=1,aabab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22908 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:146,nodes:14,pairs:17,completionMax:28us [11m11s] 22908 ab:aab=1,aabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22908 ab:aab=1,aabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22909 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:10,pairs:3,completionMax:9us [11m11s] 22909 ab:aab=1,aabab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22909 ab:aab=1,aabab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22910 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:10,pairs:8,completionMax:15us [11m11s] 22910 ab:aab=1,aabab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22910 ab:aab=1,aabab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22911 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:106,nodes:14,pairs:10,completionMax:24us [11m11s] 22911 ab:aab=1,aabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22911 ab:aab=1,aabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22912 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:49,nodes:12,pairs:4,completionMax:16us [11m11s] 22912 ab:aab=1,aabba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22912 ab:aab=1,aabba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22913 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:14us [11m11s] 22913 ab:aab=1,aabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22913 ab:aab=1,aabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22914 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:76,nodes:10,pairs:12,completionMax:18us [11m11s] 22914 ab:aab=1,aabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22914 ab:aab=1,aabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22915 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:125,nodes:12,pairs:19,completionMax:32us [11m11s] 22915 ab:aab=1,aabba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22915 ab:aab=1,aabba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22916 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:10,completionMax:17us [11m11s] 22916 ab:aab=1,aabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22916 ab:aab=1,aabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22917 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:61,nodes:10,pairs:9,completionMax:18us [11m11s] 22917 ab:aab=1,aabba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22917 ab:aab=1,aabba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22918 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:65,nodes:10,pairs:7,completionMax:15us [11m11s] 22918 ab:aab=1,aabba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22918 ab:aab=1,aabba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22919 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:103,nodes:12,pairs:16,completionMax:46us [11m11s] 22919 ab:aab=1,aabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22919 ab:aab=1,aabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22920 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:79,nodes:18,pairs:4,completionMax:23us [11m11s] 22920 ab:aab=1,aabbb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22920 ab:aab=1,aabbb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22921 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:14,nodes:8,pairs:3,completionMax:8us [11m11s] 22921 ab:aab=1,aabbb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22921 ab:aab=1,aabbb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22922 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:29,nodes:8,pairs:4,completionMax:10us [11m11s] 22922 ab:aab=1,aabbb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22922 ab:aab=1,aabbb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22923 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:32,nodes:10,pairs:3,completionMax:10us [11m11s] 22923 ab:aab=1,aabbb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22923 ab:aab=1,aabbb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22924 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:94,nodes:14,pairs:6,completionMax:18us [11m11s] 22924 ab:aab=1,aabbb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22924 ab:aab=1,aabbb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22925 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:10,pairs:3,completionMax:6us [11m11s] 22925 ab:aab=1,aabbb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22925 ab:aab=1,aabbb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22926 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:95,nodes:10,pairs:7,completionMax:17us [11m11s] 22926 ab:aab=1,aabbb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22926 ab:aab=1,aabbb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22927 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:10,pairs:3,completionMax:11us [11m11s] 22927 ab:aab=1,aabbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22927 ab:aab=1,aabbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22928 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:281,nodes:14,pairs:15,completionMax:32us [11m11s] 22928 ab:aab=1,abaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22928 ab:aab=1,abaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22929 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:201,nodes:14,pairs:21,completionMax:42us [11m11s] 22929 ab:aab=1,abaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22929 ab:aab=1,abaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22930 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:286,nodes:12,pairs:12,completionMax:40us [11m11s] 22930 ab:aab=1,abaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22930 ab:aab=1,abaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22931 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:17,nodes:10,pairs:3,completionMax:12us [11m11s] 22931 ab:aab=1,abaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22931 ab:aab=1,abaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22932 solved: rounds:2,rules:2,peak:9,longest:5,steps:3,word:0,work:319,nodes:16,pairs:20,completionMax:55us [11m11s] 22932 ab:aab=1,abaaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22932 ab:aab=1,abaaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22933 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:2,work:149,nodes:16,pairs:11,completionMax:33us [11m11s] 22933 ab:aab=1,abaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22933 ab:aab=1,abaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22934 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:130,nodes:14,pairs:9,completionMax:42us [11m11s] 22934 ab:aab=1,abaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22934 ab:aab=1,abaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22935 solved: rounds:2,rules:2,peak:7,longest:10,steps:5,word:5,work:708,nodes:34,pairs:19,completionMax:84us [11m11s] 22935 ab:aab=1,abaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22935 ab:aab=1,abaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 22936 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:8,pairs:2,completionMax:9us [11m11s] 22936 ab:aab=1,abaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22936 ab:aab=1,abaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22937 solved: rounds:2,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:2,completionMax:4us [11m11s] 22937 ab:aab=1,abaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22937 ab:aab=1,abaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22938 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:40,nodes:10,pairs:5,completionMax:16us [11m11s] 22938 ab:aab=1,abaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22938 ab:aab=1,abaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22939 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:14,nodes:8,pairs:2,completionMax:10us [11m11s] 22939 ab:aab=1,abaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22939 ab:aab=1,abaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22940 solved: rounds:2,rules:2,peak:6,longest:4,steps:4,word:0,work:148,nodes:14,pairs:17,completionMax:39us [11m11s] 22940 ab:aab=1,abaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22940 ab:aab=1,abaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22941 solved: rounds:2,rules:2,peak:3,longest:3,steps:2,word:0,work:27,nodes:10,pairs:3,completionMax:8us [11m11s] 22941 ab:aab=1,abaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22941 ab:aab=1,abaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22942 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:10,pairs:8,completionMax:16us [11m11s] 22942 ab:aab=1,abaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22942 ab:aab=1,abaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22943 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:2,work:108,nodes:14,pairs:10,completionMax:25us [11m11s] 22943 ab:aab=1,abaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22943 ab:aab=1,abaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22944 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:213,nodes:16,pairs:10,completionMax:45us [11m11s] 22944 ab:aab=1,ababa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22944 ab:aab=1,ababa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22945 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:88,nodes:14,pairs:12,completionMax:26us [11m11s] 22945 ab:aab=1,ababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22945 ab:aab=1,ababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22946 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:106,nodes:12,pairs:8,completionMax:24us [11m11s] 22946 ab:aab=1,ababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22946 ab:aab=1,ababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22947 solved: rounds:3,rules:2,peak:7,longest:5,steps:6,word:0,work:546,nodes:26,pairs:35,completionMax:60us [11m11s] 22947 ab:aab=1,ababa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22947 ab:aab=1,ababa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22948 solved: rounds:3,rules:2,peak:8,longest:5,steps:6,word:0,work:670,nodes:16,pairs:30,completionMax:57us [11m11s] 22948 ab:aab=1,ababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22948 ab:aab=1,ababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22949 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:941,nodes:20,pairs:37,completionMax:72us [11m11s] 22949 ab:aab=1,ababa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22949 ab:aab=1,ababa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22950 solved: rounds:4,rules:2,peak:7,longest:5,steps:5,word:0,work:652,nodes:22,pairs:33,completionMax:66us [11m11s] 22950 ab:aab=1,ababa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22950 ab:aab=1,ababa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22951 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:2,work:532,nodes:22,pairs:17,completionMax:66us [11m11s] 22951 ab:aab=1,ababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22951 ab:aab=1,ababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22952 solved: rounds:3,rules:2,peak:4,longest:10,steps:2,word:4,work:204,nodes:22,pairs:6,completionMax:44us [11m11s] 22952 ab:aab=1,ababb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22952 ab:aab=1,ababb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22953 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:1,work:30,nodes:12,pairs:3,completionMax:13us [11m11s] 22953 ab:aab=1,ababb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22953 ab:aab=1,ababb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22954 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:1,work:13,nodes:12,pairs:4,completionMax:12us [11m11s] 22954 ab:aab=1,ababb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22954 ab:aab=1,ababb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22955 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:12,pairs:5,completionMax:10us [11m11s] 22955 ab:aab=1,ababb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22955 ab:aab=1,ababb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22956 solved: rounds:3,rules:2,peak:3,longest:5,steps:2,word:1,work:23,nodes:12,pairs:5,completionMax:13us [11m11s] 22956 ab:aab=1,ababb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22956 ab:aab=1,ababb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22957 solved: rounds:4,rules:2,peak:4,longest:5,steps:4,word:0,work:108,nodes:14,pairs:8,completionMax:26us [11m11s] 22957 ab:aab=1,ababb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22957 ab:aab=1,ababb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22958 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:213,nodes:16,pairs:15,completionMax:39us [11m11s] 22958 ab:aab=1,ababb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22958 ab:aab=1,ababb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22959 solved: rounds:4,rules:2,peak:4,longest:5,steps:3,word:0,work:61,nodes:16,pairs:6,completionMax:22us [11m11s] 22959 ab:aab=1,ababb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22959 ab:aab=1,ababb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22960 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:128,nodes:16,pairs:13,completionMax:35us [11m11s] 22960 ab:aab=1,abbaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22960 ab:aab=1,abbaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22961 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:186,nodes:16,pairs:14,completionMax:32us [11m11s] 22961 ab:aab=1,abbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22961 ab:aab=1,abbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22962 solved: rounds:2,rules:2,peak:12,longest:5,steps:4,word:0,work:443,nodes:18,pairs:15,completionMax:72us [11m11s] 22962 ab:aab=1,abbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22962 ab:aab=1,abbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22963 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:365,nodes:16,pairs:14,completionMax:50us [11m11s] 22963 ab:aab=1,abbaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22963 ab:aab=1,abbaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22964 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:241,nodes:14,pairs:25,completionMax:46us [11m11s] 22964 ab:aab=1,abbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22964 ab:aab=1,abbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22965 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:649,nodes:24,pairs:38,completionMax:69us [11m11s] 22965 ab:aab=1,abbaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22965 ab:aab=1,abbaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22966 solved: rounds:3,rules:2,peak:12,longest:5,steps:5,word:0,work:1036,nodes:20,pairs:25,completionMax:77us [11m11s] 22966 ab:aab=1,abbaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22966 ab:aab=1,abbaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22967 solved: rounds:2,rules:2,peak:7,longest:8,steps:3,word:2,work:566,nodes:32,pairs:17,completionMax:76us [11m11s] 22967 ab:aab=1,abbaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22967 ab:aab=1,abbaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22968 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:4,work:287,nodes:28,pairs:19,completionMax:59us [11m11s] 22968 ab:aab=1,abbab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22968 ab:aab=1,abbab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22969 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:81,nodes:16,pairs:11,completionMax:28us [11m11s] 22969 ab:aab=1,abbab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22969 ab:aab=1,abbab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22970 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:185,nodes:18,pairs:13,completionMax:41us [11m11s] 22970 ab:aab=1,abbab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22970 ab:aab=1,abbab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22971 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:0,work:44,nodes:16,pairs:5,completionMax:18us [11m11s] 22971 ab:aab=1,abbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22971 ab:aab=1,abbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22972 solved: rounds:3,rules:2,peak:8,longest:8,steps:4,word:2,work:948,nodes:28,pairs:22,completionMax:95us [11m11s] 22972 ab:aab=1,abbab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22972 ab:aab=1,abbab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22973 solved: rounds:4,rules:2,peak:5,longest:6,steps:5,word:0,work:412,nodes:22,pairs:19,completionMax:47us [11m11s] 22973 ab:aab=1,abbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22973 ab:aab=1,abbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22974 solved: rounds:4,rules:2,peak:11,longest:6,steps:7,word:0,work:2728,nodes:28,pairs:47,completionMax:152us [11m11s] 22974 ab:aab=1,abbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22974 ab:aab=1,abbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22975 solved: rounds:5,rules:2,peak:10,longest:6,steps:4,word:0,work:1630,nodes:26,pairs:38,completionMax:118us [11m11s] 22975 ab:aab=1,abbab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22975 ab:aab=1,abbab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22976 solved: rounds:3,rules:2,peak:5,longest:8,steps:3,word:4,work:251,nodes:24,pairs:14,completionMax:55us [11m11s] 22976 ab:aab=1,abbba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22976 ab:aab=1,abbba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22977 solved: rounds:2,rules:2,peak:5,longest:5,steps:10,word:2,work:236,nodes:16,pairs:13,completionMax:34us [11m11s] 22977 ab:aab=1,abbba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22977 ab:aab=1,abbba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22978 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:1,work:158,nodes:16,pairs:13,completionMax:47us [11m11s] 22978 ab:aab=1,abbba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22978 ab:aab=1,abbba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22979 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:206,nodes:16,pairs:18,completionMax:36us [11m11s] 22979 ab:aab=1,abbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22979 ab:aab=1,abbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22980 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:2,work:283,nodes:16,pairs:23,completionMax:61us [11m11s] 22980 ab:aab=1,abbba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22980 ab:aab=1,abbba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22981 solved: rounds:3,rules:2,peak:8,longest:6,steps:6,word:0,work:1214,nodes:26,pairs:24,completionMax:93us [11m11s] 22981 ab:aab=1,abbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22981 ab:aab=1,abbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22982 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:527,nodes:16,pairs:22,completionMax:64us [11m11s] 22982 ab:aab=1,abbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22982 ab:aab=1,abbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22983 solved: rounds:3,rules:2,peak:15,longest:7,steps:8,word:0,work:2318,nodes:32,pairs:97,completionMax:183us [11m11s] 22983 ab:aab=1,abbba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22983 ab:aab=1,abbba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22984 solved: rounds:3,rules:2,peak:6,longest:10,steps:2,word:7,work:257,nodes:24,pairs:17,completionMax:58us [11m11s] 22984 ab:aab=1,abbbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 22984 ab:aab=1,abbbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 22985 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:126,nodes:16,pairs:12,completionMax:30us [11m11s] 22985 ab:aab=1,abbbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22985 ab:aab=1,abbbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22986 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:141,nodes:16,pairs:12,completionMax:44us [11m11s] 22986 ab:aab=1,abbbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22986 ab:aab=1,abbbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22987 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:46,nodes:16,pairs:5,completionMax:17us [11m11s] 22987 ab:aab=1,abbbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22987 ab:aab=1,abbbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22988 solved: rounds:4,rules:2,peak:5,longest:7,steps:4,word:4,work:189,nodes:16,pairs:13,completionMax:31us [11m11s] 22988 ab:aab=1,abbbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 22988 ab:aab=1,abbbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 22989 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:162,nodes:16,pairs:17,completionMax:30us [11m11s] 22989 ab:aab=1,abbbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22989 ab:aab=1,abbbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22990 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:1,work:213,nodes:16,pairs:15,completionMax:34us [11m11s] 22990 ab:aab=1,abbbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 22990 ab:aab=1,abbbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 22991 solved: rounds:5,rules:2,peak:4,longest:5,steps:2,word:0,work:104,nodes:14,pairs:8,completionMax:24us [11m11s] 22991 ab:aab=1,abbbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22991 ab:aab=1,abbbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22992 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:417,nodes:18,pairs:20,completionMax:54us [11m11s] 22992 ab:aab=1,baaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 22992 ab:aab=1,baaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 22993 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:221,nodes:16,pairs:13,completionMax:28us [11m11s] 22993 ab:aab=1,baaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22993 ab:aab=1,baaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22994 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:0,work:338,nodes:20,pairs:21,completionMax:43us [11m11s] 22994 ab:aab=1,baaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22994 ab:aab=1,baaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22995 solved: rounds:3,rules:2,peak:8,longest:10,steps:2,word:4,work:811,nodes:36,pairs:25,completionMax:98us [11m11s] 22995 ab:aab=1,baaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22995 ab:aab=1,baaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22996 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:0,work:152,nodes:16,pairs:11,completionMax:36us [11m11s] 22996 ab:aab=1,baaaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 22996 ab:aab=1,baaaa=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 22997 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:2,work:147,nodes:26,pairs:10,completionMax:30us [11m11s] 22997 ab:aab=1,baaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22997 ab:aab=1,baaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22998 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:2,work:127,nodes:14,pairs:9,completionMax:36us [11m11s] 22998 ab:aab=1,baaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 22998 ab:aab=1,baaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 22999 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:5,work:264,nodes:24,pairs:17,completionMax:38us [11m11s] 22999 ab:aab=1,baaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 22999 ab:aab=1,baaaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23000 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:51,nodes:12,pairs:4,completionMax:13us [11m11s] 23000 ab:aab=1,baaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23000 ab:aab=1,baaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23001 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:19us [11m11s] 23001 ab:aab=1,baaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23001 ab:aab=1,baaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23002 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:78,nodes:10,pairs:12,completionMax:22us [11m11s] 23002 ab:aab=1,baaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23002 ab:aab=1,baaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23003 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:127,nodes:12,pairs:19,completionMax:33us [11m11s] 23003 ab:aab=1,baaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23003 ab:aab=1,baaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23004 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:10,completionMax:23us [11m11s] 23004 ab:aab=1,baaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23004 ab:aab=1,baaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23005 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:63,nodes:10,pairs:9,completionMax:17us [11m11s] 23005 ab:aab=1,baaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23005 ab:aab=1,baaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23006 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:67,nodes:10,pairs:7,completionMax:17us [11m11s] 23006 ab:aab=1,baaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23006 ab:aab=1,baaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23007 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:105,nodes:12,pairs:16,completionMax:26us [11m11s] 23007 ab:aab=1,baaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23007 ab:aab=1,baaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23008 solved: rounds:2,rules:2,peak:4,longest:5,steps:1,word:1,work:50,nodes:12,pairs:4,completionMax:13us [11m11s] 23008 ab:aab=1,baaba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23008 ab:aab=1,baaba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23009 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:13us [11m11s] 23009 ab:aab=1,baaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23009 ab:aab=1,baaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23010 solved: rounds:3,rules:2,peak:4,longest:3,steps:3,word:0,work:77,nodes:10,pairs:12,completionMax:17us [11m11s] 23010 ab:aab=1,baaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23010 ab:aab=1,baaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23011 solved: rounds:3,rules:2,peak:6,longest:3,steps:2,word:0,work:126,nodes:12,pairs:19,completionMax:41us [11m11s] 23011 ab:aab=1,baaba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23011 ab:aab=1,baaba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23012 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:10,completionMax:21us [11m11s] 23012 ab:aab=1,baaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23012 ab:aab=1,baaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23013 solved: rounds:3,rules:2,peak:4,longest:3,steps:1,word:0,work:62,nodes:10,pairs:9,completionMax:25us [11m11s] 23013 ab:aab=1,baaba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23013 ab:aab=1,baaba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23014 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:66,nodes:10,pairs:7,completionMax:22us [11m11s] 23014 ab:aab=1,baaba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23014 ab:aab=1,baaba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23015 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:2,work:104,nodes:12,pairs:16,completionMax:35us [11m11s] 23015 ab:aab=1,baaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23015 ab:aab=1,baaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23016 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:80,nodes:18,pairs:4,completionMax:26us [11m11s] 23016 ab:aab=1,baabb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23016 ab:aab=1,baabb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23017 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:15,nodes:8,pairs:3,completionMax:10us [11m11s] 23017 ab:aab=1,baabb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23017 ab:aab=1,baabb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23018 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:30,nodes:8,pairs:4,completionMax:10us [11m11s] 23018 ab:aab=1,baabb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23018 ab:aab=1,baabb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23019 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:33,nodes:10,pairs:3,completionMax:14us [11m11s] 23019 ab:aab=1,baabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23019 ab:aab=1,baabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23020 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:95,nodes:14,pairs:6,completionMax:19us [11m11s] 23020 ab:aab=1,baabb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23020 ab:aab=1,baabb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23021 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:22,nodes:10,pairs:3,completionMax:11us [11m11s] 23021 ab:aab=1,baabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23021 ab:aab=1,baabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23022 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:96,nodes:10,pairs:7,completionMax:26us [11m11s] 23022 ab:aab=1,baabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23022 ab:aab=1,baabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23023 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:3,completionMax:13us [11m11s] 23023 ab:aab=1,baabb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23023 ab:aab=1,baabb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23024 solved: rounds:3,rules:2,peak:6,longest:6,steps:2,word:1,work:270,nodes:20,pairs:26,completionMax:53us [11m11s] 23024 ab:aab=1,babaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23024 ab:aab=1,babaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23025 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:217,nodes:18,pairs:16,completionMax:25us [11m11s] 23025 ab:aab=1,babaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23025 ab:aab=1,babaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23026 solved: rounds:2,rules:2,peak:9,longest:5,steps:6,word:0,work:388,nodes:18,pairs:25,completionMax:56us [11m11s] 23026 ab:aab=1,babaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23026 ab:aab=1,babaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23027 solved: rounds:3,rules:2,peak:10,longest:5,steps:5,word:0,work:803,nodes:22,pairs:25,completionMax:69us [11m11s] 23027 ab:aab=1,babaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23027 ab:aab=1,babaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23028 solved: rounds:4,rules:2,peak:5,longest:5,steps:2,word:0,work:140,nodes:18,pairs:15,completionMax:24us [11m11s] 23028 ab:aab=1,babaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23028 ab:aab=1,babaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23029 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:481,nodes:18,pairs:14,completionMax:52us [11m11s] 23029 ab:aab=1,babaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23029 ab:aab=1,babaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23030 solved: rounds:3,rules:2,peak:9,longest:5,steps:4,word:0,work:775,nodes:22,pairs:35,completionMax:101us [11m11s] 23030 ab:aab=1,babaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23030 ab:aab=1,babaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23031 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:2,work:502,nodes:28,pairs:17,completionMax:67us [11m11s] 23031 ab:aab=1,babaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23031 ab:aab=1,babaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23032 solved: rounds:3,rules:2,peak:8,longest:9,steps:2,word:4,work:682,nodes:28,pairs:19,completionMax:84us [11m11s] 23032 ab:aab=1,babab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23032 ab:aab=1,babab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23033 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:89,nodes:14,pairs:9,completionMax:21us [11m11s] 23033 ab:aab=1,babab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23033 ab:aab=1,babab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23034 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:1,work:106,nodes:14,pairs:7,completionMax:20us [11m11s] 23034 ab:aab=1,babab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23034 ab:aab=1,babab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23035 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:356,nodes:22,pairs:30,completionMax:45us [11m11s] 23035 ab:aab=1,babab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23035 ab:aab=1,babab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23036 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:1,work:340,nodes:24,pairs:23,completionMax:50us [11m11s] 23036 ab:aab=1,babab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23036 ab:aab=1,babab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23037 solved: rounds:4,rules:2,peak:3,longest:5,steps:2,word:0,work:84,nodes:18,pairs:4,completionMax:19us [11m11s] 23037 ab:aab=1,babab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23037 ab:aab=1,babab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23038 solved: rounds:3,rules:2,peak:9,longest:5,steps:6,word:0,work:790,nodes:26,pairs:36,completionMax:97us [11m11s] 23038 ab:aab=1,babab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23038 ab:aab=1,babab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23039 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:351,nodes:24,pairs:14,completionMax:45us [11m11s] 23039 ab:aab=1,babab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23039 ab:aab=1,babab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23040 solved: rounds:3,rules:2,peak:8,longest:9,steps:3,word:4,work:954,nodes:32,pairs:26,completionMax:128us [11m11s] 23040 ab:aab=1,babba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23040 ab:aab=1,babba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23041 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:459,nodes:22,pairs:20,completionMax:65us [11m11s] 23041 ab:aab=1,babba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23041 ab:aab=1,babba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23042 solved: rounds:3,rules:2,peak:8,longest:6,steps:3,word:1,work:501,nodes:24,pairs:24,completionMax:79us [11m11s] 23042 ab:aab=1,babba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23042 ab:aab=1,babba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23043 solved: rounds:3,rules:2,peak:8,longest:6,steps:11,word:0,work:767,nodes:22,pairs:42,completionMax:87us [11m11s] 23043 ab:aab=1,babba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23043 ab:aab=1,babba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23044 solved: rounds:2,rules:2,peak:8,longest:5,steps:3,word:1,work:373,nodes:22,pairs:13,completionMax:61us [11m11s] 23044 ab:aab=1,babba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23044 ab:aab=1,babba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23045 solved: rounds:3,rules:2,peak:11,longest:6,steps:7,word:0,work:834,nodes:24,pairs:34,completionMax:103us [11m11s] 23045 ab:aab=1,babba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23045 ab:aab=1,babba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23046 solved: rounds:5,rules:2,peak:6,longest:5,steps:2,word:0,work:246,nodes:18,pairs:24,completionMax:52us [11m11s] 23046 ab:aab=1,babba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23046 ab:aab=1,babba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23047 solved: rounds:4,rules:2,peak:9,longest:6,steps:4,word:0,work:1362,nodes:28,pairs:68,completionMax:189us [11m11s] 23047 ab:aab=1,babba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23047 ab:aab=1,babba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23048 solved: rounds:3,rules:2,peak:8,longest:10,steps:3,word:7,work:732,nodes:42,pairs:31,completionMax:103us [11m11s] 23048 ab:aab=1,babbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23048 ab:aab=1,babbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23049 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:4,work:222,nodes:18,pairs:15,completionMax:49us [11m11s] 23049 ab:aab=1,babbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23049 ab:aab=1,babbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23050 solved: rounds:3,rules:2,peak:8,longest:10,steps:5,word:5,work:990,nodes:36,pairs:18,completionMax:105us [11m11s] 23050 ab:aab=1,babbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23050 ab:aab=1,babbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23051 solved: rounds:3,rules:2,peak:6,longest:7,steps:7,word:1,work:535,nodes:22,pairs:21,completionMax:63us [11m11s] 23051 ab:aab=1,babbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23051 ab:aab=1,babbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23052 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:4,work:470,nodes:30,pairs:21,completionMax:68us [11m11s] 23052 ab:aab=1,babbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23052 ab:aab=1,babbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23053 solved: rounds:4,rules:2,peak:3,longest:5,steps:1,word:1,work:42,nodes:18,pairs:5,completionMax:17us [11m11s] 23053 ab:aab=1,babbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23053 ab:aab=1,babbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23054 solved: rounds:3,rules:2,peak:8,longest:5,steps:7,word:1,work:664,nodes:22,pairs:36,completionMax:90us [11m11s] 23054 ab:aab=1,babbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23054 ab:aab=1,babbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23055 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:60,nodes:18,pairs:6,completionMax:22us [11m11s] 23055 ab:aab=1,babbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23055 ab:aab=1,babbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23056 solved: rounds:4,rules:2,peak:6,longest:7,steps:2,word:1,work:316,nodes:22,pairs:20,completionMax:58us [11m11s] 23056 ab:aab=1,bbaaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23056 ab:aab=1,bbaaa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23057 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:136,nodes:18,pairs:10,completionMax:23us [11m11s] 23057 ab:aab=1,bbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23057 ab:aab=1,bbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23058 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:482,nodes:22,pairs:54,completionMax:106us [11m11s] 23058 ab:aab=1,bbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23058 ab:aab=1,bbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23059 solved: rounds:3,rules:2,peak:13,longest:5,steps:4,word:0,work:1265,nodes:24,pairs:42,completionMax:139us [11m11s] 23059 ab:aab=1,bbaaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23059 ab:aab=1,bbaaa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23060 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:217,nodes:18,pairs:19,completionMax:47us [11m11s] 23060 ab:aab=1,bbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23060 ab:aab=1,bbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23061 solved: rounds:3,rules:2,peak:11,longest:5,steps:5,word:0,work:1164,nodes:22,pairs:53,completionMax:136us [11m11s] 23061 ab:aab=1,bbaaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23061 ab:aab=1,bbaaa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23062 solved: rounds:4,rules:2,peak:8,longest:5,steps:3,word:0,work:439,nodes:18,pairs:21,completionMax:62us [11m11s] 23062 ab:aab=1,bbaaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23062 ab:aab=1,bbaaa=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23063 solved: rounds:3,rules:2,peak:5,longest:10,steps:2,word:2,work:456,nodes:28,pairs:15,completionMax:57us [11m11s] 23063 ab:aab=1,bbaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23063 ab:aab=1,bbaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23064 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:4,work:81,nodes:18,pairs:4,completionMax:23us [11m11s] 23064 ab:aab=1,bbaab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23064 ab:aab=1,bbaab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23065 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:1,work:16,nodes:8,pairs:3,completionMax:10us [11m11s] 23065 ab:aab=1,bbaab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23065 ab:aab=1,bbaab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23066 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:31,nodes:8,pairs:4,completionMax:9us [11m11s] 23066 ab:aab=1,bbaab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23066 ab:aab=1,bbaab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23067 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:34,nodes:10,pairs:3,completionMax:13us [11m11s] 23067 ab:aab=1,bbaab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23067 ab:aab=1,bbaab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23068 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:96,nodes:14,pairs:6,completionMax:23us [11m11s] 23068 ab:aab=1,bbaab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23068 ab:aab=1,bbaab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23069 solved: rounds:3,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:10,pairs:3,completionMax:8us [11m11s] 23069 ab:aab=1,bbaab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23069 ab:aab=1,bbaab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23070 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:97,nodes:10,pairs:7,completionMax:22us [11m11s] 23070 ab:aab=1,bbaab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23070 ab:aab=1,bbaab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23071 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:3,completionMax:15us [11m11s] 23071 ab:aab=1,bbaab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23071 ab:aab=1,bbaab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23072 solved: rounds:3,rules:2,peak:8,longest:9,steps:3,word:4,work:884,nodes:38,pairs:37,completionMax:125us [11m11s] 23072 ab:aab=1,bbaba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23072 ab:aab=1,bbaba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23073 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:233,nodes:20,pairs:26,completionMax:63us [11m11s] 23073 ab:aab=1,bbaba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23073 ab:aab=1,bbaba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23074 solved: rounds:3,rules:2,peak:8,longest:5,steps:2,word:1,work:361,nodes:20,pairs:41,completionMax:75us [11m11s] 23074 ab:aab=1,bbaba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23074 ab:aab=1,bbaba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23075 solved: rounds:3,rules:2,peak:9,longest:5,steps:7,word:0,work:592,nodes:24,pairs:23,completionMax:61us [11m11s] 23075 ab:aab=1,bbaba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23075 ab:aab=1,bbaba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23076 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:2,work:341,nodes:18,pairs:25,completionMax:66us [11m11s] 23076 ab:aab=1,bbaba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23076 ab:aab=1,bbaba=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23077 solved: rounds:2,rules:2,peak:9,longest:5,steps:9,word:0,work:333,nodes:18,pairs:12,completionMax:45us [11m11s] 23077 ab:aab=1,bbaba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23077 ab:aab=1,bbaba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23078 solved: rounds:5,rules:2,peak:5,longest:5,steps:2,word:0,work:155,nodes:18,pairs:12,completionMax:41us [11m11s] 23078 ab:aab=1,bbaba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23078 ab:aab=1,bbaba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23079 solved: rounds:4,rules:2,peak:8,longest:5,steps:4,word:0,work:908,nodes:22,pairs:32,completionMax:96us [11m11s] 23079 ab:aab=1,bbaba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23079 ab:aab=1,bbaba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23080 solved: rounds:3,rules:2,peak:8,longest:10,steps:4,word:14,work:987,nodes:40,pairs:30,completionMax:101us [11m11s] 23080 ab:aab=1,bbabb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23080 ab:aab=1,bbabb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23081 solved: rounds:4,rules:2,peak:7,longest:7,steps:4,word:4,work:353,nodes:18,pairs:27,completionMax:73us [11m11s] 23081 ab:aab=1,bbabb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23081 ab:aab=1,bbabb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23082 solved: rounds:3,rules:2,peak:8,longest:8,steps:6,word:4,work:1017,nodes:32,pairs:24,completionMax:99us [11m11s] 23082 ab:aab=1,bbabb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23082 ab:aab=1,bbabb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23083 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:1,work:224,nodes:18,pairs:15,completionMax:39us [11m11s] 23083 ab:aab=1,bbabb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23083 ab:aab=1,bbabb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23084 solved: rounds:3,rules:2,peak:12,longest:11,steps:6,word:8,work:1886,nodes:40,pairs:31,completionMax:178us [11m11s] 23084 ab:aab=1,bbabb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23084 ab:aab=1,bbabb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23085 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:1,work:569,nodes:24,pairs:37,completionMax:74us [11m11s] 23085 ab:aab=1,bbabb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23085 ab:aab=1,bbabb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23086 solved: rounds:3,rules:2,peak:8,longest:7,steps:2,word:1,work:824,nodes:26,pairs:27,completionMax:104us [11m11s] 23086 ab:aab=1,bbabb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23086 ab:aab=1,bbabb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23087 solved: rounds:5,rules:2,peak:3,longest:5,steps:2,word:0,work:81,nodes:18,pairs:6,completionMax:20us [11m11s] 23087 ab:aab=1,bbabb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23087 ab:aab=1,bbabb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23088 solved: rounds:3,rules:2,peak:7,longest:10,steps:4,word:4,work:555,nodes:28,pairs:24,completionMax:80us [11m11s] 23088 ab:aab=1,bbbaa=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23088 ab:aab=1,bbbaa=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23089 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:2,work:242,nodes:16,pairs:15,completionMax:36us [11m11s] 23089 ab:aab=1,bbbaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23089 ab:aab=1,bbbaa=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23090 solved: rounds:2,rules:2,peak:9,longest:5,steps:4,word:1,work:419,nodes:22,pairs:19,completionMax:77us [11m11s] 23090 ab:aab=1,bbbaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23090 ab:aab=1,bbbaa=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23091 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:0,work:799,nodes:22,pairs:30,completionMax:71us [11m11s] 23091 ab:aab=1,bbbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23091 ab:aab=1,bbbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23092 solved: rounds:4,rules:2,peak:5,longest:6,steps:1,word:1,work:200,nodes:16,pairs:17,completionMax:58us [11m11s] 23092 ab:aab=1,bbbaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23092 ab:aab=1,bbbaa=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23093 solved: rounds:3,rules:2,peak:10,longest:5,steps:6,word:0,work:832,nodes:22,pairs:36,completionMax:99us [11m11s] 23093 ab:aab=1,bbbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23093 ab:aab=1,bbbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23094 solved: rounds:3,rules:2,peak:9,longest:5,steps:3,word:0,work:586,nodes:16,pairs:30,completionMax:61us [11m11s] 23094 ab:aab=1,bbbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23094 ab:aab=1,bbbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23095 solved: rounds:4,rules:2,peak:7,longest:5,steps:4,word:0,work:824,nodes:18,pairs:16,completionMax:61us [11m11s] 23095 ab:aab=1,bbbaa=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23095 ab:aab=1,bbbaa=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23096 solved: rounds:3,rules:2,peak:9,longest:10,steps:3,word:7,work:1105,nodes:54,pairs:55,completionMax:127us [11m11s] 23096 ab:aab=1,bbbab=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23096 ab:aab=1,bbbab=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23097 solved: rounds:4,rules:2,peak:7,longest:10,steps:8,word:8,work:748,nodes:26,pairs:24,completionMax:70us [11m11s] 23097 ab:aab=1,bbbab=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23097 ab:aab=1,bbbab=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23098 solved: rounds:3,rules:2,peak:9,longest:11,steps:4,word:8,work:1129,nodes:32,pairs:32,completionMax:99us [11m11s] 23098 ab:aab=1,bbbab=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23098 ab:aab=1,bbbab=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23099 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:363,nodes:16,pairs:21,completionMax:42us [11m11s] 23099 ab:aab=1,bbbab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23099 ab:aab=1,bbbab=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23100 solved: rounds:3,rules:2,peak:7,longest:11,steps:5,word:8,work:696,nodes:34,pairs:25,completionMax:66us [11m11s] 23100 ab:aab=1,bbbab=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23100 ab:aab=1,bbbab=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23101 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:125,nodes:16,pairs:11,completionMax:25us [11m11s] 23101 ab:aab=1,bbbab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23101 ab:aab=1,bbbab=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23102 solved: rounds:3,rules:2,peak:8,longest:5,steps:3,word:2,work:494,nodes:22,pairs:41,completionMax:78us [11m11s] 23102 ab:aab=1,bbbab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23102 ab:aab=1,bbbab=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23103 solved: rounds:5,rules:2,peak:3,longest:5,steps:1,word:0,work:76,nodes:16,pairs:5,completionMax:21us [11m11s] 23103 ab:aab=1,bbbab=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23103 ab:aab=1,bbbab=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23104 solved: rounds:2,rules:2,peak:7,longest:10,steps:4,word:7,work:640,nodes:26,pairs:15,completionMax:61us [11m11s] 23104 ab:aab=1,bbbba=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23104 ab:aab=1,bbbba=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23105 solved: rounds:3,rules:2,peak:8,longest:7,steps:3,word:4,work:538,nodes:16,pairs:32,completionMax:72us [11m11s] 23105 ab:aab=1,bbbba=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23105 ab:aab=1,bbbba=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23106 solved: rounds:4,rules:2,peak:9,longest:7,steps:3,word:4,work:823,nodes:20,pairs:35,completionMax:95us [11m11s] 23106 ab:aab=1,bbbba=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23106 ab:aab=1,bbbba=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23107 solved: rounds:3,rules:2,peak:8,longest:5,steps:10,word:1,work:670,nodes:16,pairs:30,completionMax:76us [11m11s] 23107 ab:aab=1,bbbba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23107 ab:aab=1,bbbba=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23108 solved: rounds:3,rules:2,peak:6,longest:7,steps:3,word:4,work:450,nodes:20,pairs:34,completionMax:74us [11m11s] 23108 ab:aab=1,bbbba=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23108 ab:aab=1,bbbba=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23109 solved: rounds:3,rules:2,peak:11,longest:6,steps:5,word:1,work:894,nodes:24,pairs:45,completionMax:124us [11m11s] 23109 ab:aab=1,bbbba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23109 ab:aab=1,bbbba=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23110 solved: rounds:5,rules:2,peak:5,longest:5,steps:2,word:1,work:238,nodes:14,pairs:16,completionMax:49us [11m11s] 23110 ab:aab=1,bbbba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23110 ab:aab=1,bbbba=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23111 solved: rounds:4,rules:2,peak:6,longest:5,steps:4,word:0,work:412,nodes:14,pairs:29,completionMax:52us [11m11s] 23111 ab:aab=1,bbbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23111 ab:aab=1,bbbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23112 solved: rounds:5,rules:2,peak:5,longest:13,steps:9,word:10,work:817,nodes:26,pairs:15,completionMax:75us [11m11s] 23112 ab:aab=1,bbbbb=aaa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 23112 ab:aab=1,bbbbb=aaa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 23113 solved: rounds:5,rules:2,peak:5,longest:10,steps:4,word:7,work:251,nodes:20,pairs:17,completionMax:55us [11m11s] 23113 ab:aab=1,bbbbb=aab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23113 ab:aab=1,bbbbb=aab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23114 solved: rounds:5,rules:2,peak:8,longest:10,steps:6,word:7,work:729,nodes:20,pairs:30,completionMax:88us [11m11s] 23114 ab:aab=1,bbbbb=aba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23114 ab:aab=1,bbbbb=aba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23115 solved: rounds:5,rules:2,peak:8,longest:7,steps:4,word:4,work:873,nodes:26,pairs:36,completionMax:113us [11m11s] 23115 ab:aab=1,bbbbb=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23115 ab:aab=1,bbbbb=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23116 solved: rounds:2,rules:2,peak:6,longest:10,steps:3,word:7,work:699,nodes:32,pairs:21,completionMax:67us [11m11s] 23116 ab:aab=1,bbbbb=baa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23116 ab:aab=1,bbbbb=baa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23117 solved: rounds:3,rules:2,peak:8,longest:7,steps:5,word:4,work:976,nodes:22,pairs:55,completionMax:289us [11m11s] 23117 ab:aab=1,bbbbb=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23117 ab:aab=1,bbbbb=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23118 solved: rounds:4,rules:2,peak:9,longest:7,steps:6,word:4,work:884,nodes:18,pairs:44,completionMax:167us [11m11s] 23118 ab:aab=1,bbbbb=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23118 ab:aab=1,bbbbb=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23119 solved: rounds:5,rules:2,peak:3,longest:5,steps:2,word:1,work:175,nodes:14,pairs:6,completionMax:27us [11m11s] 23119 ab:aab=1,bbbbb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23119 ab:aab=1,bbbbb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23120 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:190,nodes:14,pairs:8,completionMax:29us [11m11s] 23120 ab:aba=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23120 ab:aba=1,aaaaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23121 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:2,work:164,nodes:16,pairs:7,completionMax:35us [11m11s] 23121 ab:aba=1,aaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23121 ab:aba=1,aaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23122 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:74,nodes:14,pairs:7,completionMax:18us [11m11s] 23122 ab:aba=1,aaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23122 ab:aba=1,aaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23123 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:5,work:114,nodes:18,pairs:4,completionMax:21us [11m11s] 23123 ab:aba=1,aaaaa=abb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 23123 ab:aba=1,aaaaa=abb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23124 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:5,work:37,nodes:16,pairs:7,completionMax:17us [11m11s] 23124 ab:aba=1,aaaaa=bab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 23124 ab:aba=1,aaaaa=bab finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23125 solved: rounds:5,rules:2,peak:4,longest:11,steps:10,word:8,work:299,nodes:22,pairs:10,completionMax:29us [11m11s] 23125 ab:aba=1,aaaaa=bbb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaa=1,b=aaaaaaaaa [11m11s] from: 23125 ab:aba=1,aaaaa=bbb finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b5;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbb,b=b [11m11s] # 23126 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:0,work:374,nodes:14,pairs:19,completionMax:34us [11m11s] 23126 ab:aba=1,aaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23126 ab:aba=1,aaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23127 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:103,nodes:14,pairs:9,completionMax:20us [11m11s] 23127 ab:aba=1,aaaab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23127 ab:aba=1,aaaab=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23128 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:95,nodes:14,pairs:13,completionMax:18us [11m11s] 23128 ab:aba=1,aaaab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23128 ab:aba=1,aaaab=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23129 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:2,work:152,nodes:10,pairs:8,completionMax:27us [11m11s] 23129 ab:aba=1,aaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23129 ab:aba=1,aaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23130 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:115,nodes:14,pairs:13,completionMax:18us [11m11s] 23130 ab:aba=1,aaaab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23130 ab:aba=1,aaaab=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23131 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:2,work:176,nodes:22,pairs:7,completionMax:30us [11m11s] 23131 ab:aba=1,aaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23131 ab:aba=1,aaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23132 solved: rounds:3,rules:2,peak:5,longest:9,steps:10,word:14,work:671,nodes:18,pairs:10,completionMax:54us [11m11s] 23132 ab:aba=1,aaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23132 ab:aba=1,aaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23133 solved: rounds:5,rules:2,peak:4,longest:8,steps:9,word:5,work:392,nodes:16,pairs:10,completionMax:28us [11m11s] 23133 ab:aba=1,aaaab=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 23133 ab:aba=1,aaaab=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23134 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:93,nodes:10,pairs:8,completionMax:15us [11m11s] 23134 ab:aba=1,aaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23134 ab:aba=1,aaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23135 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:81,nodes:10,pairs:7,completionMax:16us [11m11s] 23135 ab:aba=1,aaaba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23135 ab:aba=1,aaaba=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23136 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:7,completionMax:11us [11m11s] 23136 ab:aba=1,aaaba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23136 ab:aba=1,aaaba=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23137 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:55,nodes:12,pairs:4,completionMax:12us [11m11s] 23137 ab:aba=1,aaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23137 ab:aba=1,aaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23138 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:83,nodes:12,pairs:7,completionMax:18us [11m11s] 23138 ab:aba=1,aaaba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23138 ab:aba=1,aaaba=baa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23139 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:30,nodes:10,pairs:7,completionMax:11us [11m11s] 23139 ab:aba=1,aaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23139 ab:aba=1,aaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23140 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:62,nodes:12,pairs:4,completionMax:12us [11m11s] 23140 ab:aba=1,aaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23140 ab:aba=1,aaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23141 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:172,nodes:16,pairs:10,completionMax:23us [11m11s] 23141 ab:aba=1,aaaba=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 23141 ab:aba=1,aaaba=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23142 solved: rounds:2,rules:2,peak:4,longest:5,steps:6,word:2,work:211,nodes:18,pairs:5,completionMax:17us [11m11s] 23142 ab:aba=1,aaabb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23142 ab:aba=1,aaabb=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23143 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:90,nodes:16,pairs:8,completionMax:29us [11m11s] 23143 ab:aba=1,aaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23143 ab:aba=1,aaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23144 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:82,nodes:16,pairs:9,completionMax:29us [11m11s] 23144 ab:aba=1,aaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23144 ab:aba=1,aaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23145 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:93,nodes:16,pairs:10,completionMax:29us [11m11s] 23145 ab:aba=1,aaabb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23145 ab:aba=1,aaabb=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23146 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:95,nodes:16,pairs:9,completionMax:24us [11m11s] 23146 ab:aba=1,aaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23146 ab:aba=1,aaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23147 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:101,nodes:16,pairs:10,completionMax:23us [11m11s] 23147 ab:aba=1,aaabb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23147 ab:aba=1,aaabb=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23148 solved: rounds:3,rules:2,peak:4,longest:5,steps:3,word:0,work:109,nodes:16,pairs:10,completionMax:22us [11m11s] 23148 ab:aba=1,aaabb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23148 ab:aba=1,aaabb=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23149 solved: rounds:5,rules:2,peak:4,longest:5,steps:23,word:4,work:717,nodes:10,pairs:10,completionMax:28us [11m11s] 23149 ab:aba=1,aaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23149 ab:aba=1,aaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23150 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:92,nodes:10,pairs:8,completionMax:14us [11m11s] 23150 ab:aba=1,aabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23150 ab:aba=1,aabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23151 solved: rounds:2,rules:2,peak:5,longest:3,steps:1,word:0,work:80,nodes:10,pairs:7,completionMax:19us [11m11s] 23151 ab:aba=1,aabaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23151 ab:aba=1,aabaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23152 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:38,nodes:8,pairs:7,completionMax:10us [11m11s] 23152 ab:aba=1,aabaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23152 ab:aba=1,aabaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23153 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:2,work:54,nodes:12,pairs:4,completionMax:13us [11m11s] 23153 ab:aba=1,aabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23153 ab:aba=1,aabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23154 solved: rounds:2,rules:2,peak:3,longest:5,steps:1,word:2,work:29,nodes:10,pairs:7,completionMax:11us [11m11s] 23154 ab:aba=1,aabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23154 ab:aba=1,aabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23155 solved: rounds:5,rules:2,peak:4,longest:8,steps:6,word:5,work:171,nodes:16,pairs:10,completionMax:24us [11m11s] 23155 ab:aba=1,aabaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a/b - - ab:aaaaaaaa=1,b=aaaaaa [11m11s] from: 23155 ab:aba=1,aabaa=bbb finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aaaaaa [11m11s] # 23156 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:18,nodes:8,pairs:3,completionMax:6us [11m11s] 23156 ab:aba=1,aabab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23156 ab:aba=1,aabab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23157 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:21,nodes:8,pairs:5,completionMax:11us [11m11s] 23157 ab:aba=1,aabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23157 ab:aba=1,aabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23158 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:3,completionMax:6us [11m11s] 23158 ab:aba=1,aabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23158 ab:aba=1,aabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23159 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:61,nodes:8,pairs:5,completionMax:15us [11m11s] 23159 ab:aba=1,aabab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23159 ab:aba=1,aabab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23160 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:99,nodes:12,pairs:14,completionMax:26us [11m11s] 23160 ab:aba=1,aabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23160 ab:aba=1,aabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23161 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:32,nodes:10,pairs:4,completionMax:12us [11m11s] 23161 ab:aba=1,aabab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23161 ab:aba=1,aabab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23162 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:98,nodes:12,pairs:13,completionMax:27us [11m11s] 23162 ab:aba=1,aabab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23162 ab:aba=1,aabab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23163 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:112,nodes:10,pairs:10,completionMax:19us [11m11s] 23163 ab:aba=1,aabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23163 ab:aba=1,aabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23164 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:224,nodes:18,pairs:6,completionMax:20us [11m11s] 23164 ab:aba=1,aabba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23164 ab:aba=1,aabba=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23165 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:175,nodes:14,pairs:8,completionMax:20us [11m11s] 23165 ab:aba=1,aabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23165 ab:aba=1,aabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23166 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:153,nodes:14,pairs:12,completionMax:18us [11m11s] 23166 ab:aba=1,aabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23166 ab:aba=1,aabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23167 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:116,nodes:14,pairs:8,completionMax:17us [11m11s] 23167 ab:aba=1,aabba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23167 ab:aba=1,aabba=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23168 solved: rounds:3,rules:2,peak:6,longest:5,steps:6,word:0,work:196,nodes:14,pairs:8,completionMax:23us [11m11s] 23168 ab:aba=1,aabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23168 ab:aba=1,aabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23169 solved: rounds:3,rules:2,peak:5,longest:5,steps:5,word:0,work:148,nodes:14,pairs:8,completionMax:21us [11m11s] 23169 ab:aba=1,aabba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23169 ab:aba=1,aabba=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23170 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:152,nodes:14,pairs:8,completionMax:27us [11m11s] 23170 ab:aba=1,aabba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23170 ab:aba=1,aabba=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23171 solved: rounds:5,rules:2,peak:4,longest:5,steps:23,word:4,work:570,nodes:10,pairs:10,completionMax:39us [11m11s] 23171 ab:aba=1,aabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23171 ab:aba=1,aabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23172 solved: rounds:5,rules:2,peak:4,longest:7,steps:6,word:4,work:323,nodes:18,pairs:11,completionMax:45us [11m11s] 23172 ab:aba=1,aabbb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23172 ab:aba=1,aabbb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23173 solved: rounds:5,rules:2,peak:4,longest:5,steps:6,word:1,work:249,nodes:18,pairs:11,completionMax:42us [11m11s] 23173 ab:aba=1,aabbb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23173 ab:aba=1,aabbb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23174 solved: rounds:3,rules:2,peak:7,longest:7,steps:9,word:3,work:592,nodes:22,pairs:14,completionMax:49us [11m11s] 23174 ab:aba=1,aabbb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23174 ab:aba=1,aabbb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23175 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:169,nodes:16,pairs:13,completionMax:36us [11m11s] 23175 ab:aba=1,aabbb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23175 ab:aba=1,aabbb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23176 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:2,work:724,nodes:24,pairs:13,completionMax:67us [11m11s] 23176 ab:aba=1,aabbb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23176 ab:aba=1,aabbb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23177 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:177,nodes:16,pairs:13,completionMax:28us [11m11s] 23177 ab:aba=1,aabbb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23177 ab:aba=1,aabbb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23178 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:185,nodes:16,pairs:13,completionMax:21us [11m11s] 23178 ab:aba=1,aabbb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23178 ab:aba=1,aabbb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23179 solved: rounds:5,rules:2,peak:5,longest:5,steps:3,word:0,work:276,nodes:20,pairs:13,completionMax:28us [11m11s] 23179 ab:aba=1,aabbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23179 ab:aba=1,aabbb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23180 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:17,nodes:8,pairs:3,completionMax:10us [11m11s] 23180 ab:aba=1,abaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23180 ab:aba=1,abaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23181 solved: rounds:2,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:5,completionMax:8us [11m11s] 23181 ab:aba=1,abaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23181 ab:aba=1,abaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23182 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:3,completionMax:6us [11m11s] 23182 ab:aba=1,abaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23182 ab:aba=1,abaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23183 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:60,nodes:8,pairs:5,completionMax:14us [11m11s] 23183 ab:aba=1,abaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23183 ab:aba=1,abaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23184 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:98,nodes:12,pairs:14,completionMax:26us [11m11s] 23184 ab:aba=1,abaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23184 ab:aba=1,abaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23185 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:31,nodes:10,pairs:4,completionMax:9us [11m11s] 23185 ab:aba=1,abaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23185 ab:aba=1,abaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23186 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:97,nodes:12,pairs:13,completionMax:26us [11m11s] 23186 ab:aba=1,abaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23186 ab:aba=1,abaab=bba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23187 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:111,nodes:10,pairs:10,completionMax:24us [11m11s] 23187 ab:aba=1,abaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23187 ab:aba=1,abaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23188 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:1,work:17,nodes:10,pairs:3,completionMax:7us [11m11s] 23188 ab:aba=1,ababa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23188 ab:aba=1,ababa=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23189 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:54,nodes:10,pairs:6,completionMax:13us [11m11s] 23189 ab:aba=1,ababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23189 ab:aba=1,ababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23190 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:8,pairs:3,completionMax:4us [11m11s] 23190 ab:aba=1,ababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23190 ab:aba=1,ababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23191 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:62,nodes:8,pairs:7,completionMax:17us [11m11s] 23191 ab:aba=1,ababa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23191 ab:aba=1,ababa=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23192 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:0,work:30,nodes:10,pairs:4,completionMax:15us [11m11s] 23192 ab:aba=1,ababa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23192 ab:aba=1,ababa=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23193 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:2,work:97,nodes:10,pairs:10,completionMax:22us [11m11s] 23193 ab:aba=1,ababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23193 ab:aba=1,ababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23194 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:61,nodes:16,pairs:4,completionMax:15us [11m11s] 23194 ab:aba=1,ababb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23194 ab:aba=1,ababb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23195 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:96,nodes:8,pairs:8,completionMax:15us [11m11s] 23195 ab:aba=1,ababb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23195 ab:aba=1,ababb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23196 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:13us [11m11s] 23196 ab:aba=1,ababb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23196 ab:aba=1,ababb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23197 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:176,nodes:12,pairs:10,completionMax:37us [11m11s] 23197 ab:aba=1,ababb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23197 ab:aba=1,ababb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23198 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:1,work:58,nodes:8,pairs:8,completionMax:19us [11m11s] 23198 ab:aba=1,ababb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23198 ab:aba=1,ababb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23199 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:105,nodes:10,pairs:15,completionMax:28us [11m11s] 23199 ab:aba=1,ababb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23199 ab:aba=1,ababb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23200 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:172,nodes:12,pairs:12,completionMax:34us [11m11s] 23200 ab:aba=1,ababb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23200 ab:aba=1,ababb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23201 solved: rounds:5,rules:2,peak:4,longest:3,steps:3,word:0,work:98,nodes:10,pairs:5,completionMax:20us [11m11s] 23201 ab:aba=1,ababb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23201 ab:aba=1,ababb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23202 solved: rounds:2,rules:2,peak:6,longest:9,steps:26,word:8,work:1343,nodes:30,pairs:9,completionMax:80us [11m11s] 23202 ab:aba=1,abbab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23202 ab:aba=1,abbab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23203 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:187,nodes:14,pairs:7,completionMax:23us [11m11s] 23203 ab:aba=1,abbab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23203 ab:aba=1,abbab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23204 solved: rounds:2,rules:2,peak:4,longest:5,steps:5,word:2,work:174,nodes:14,pairs:12,completionMax:17us [11m11s] 23204 ab:aba=1,abbab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23204 ab:aba=1,abbab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23205 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:128,nodes:12,pairs:15,completionMax:24us [11m11s] 23205 ab:aba=1,abbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23205 ab:aba=1,abbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23206 solved: rounds:3,rules:2,peak:6,longest:8,steps:14,word:2,work:993,nodes:28,pairs:13,completionMax:51us [11m11s] 23206 ab:aba=1,abbab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23206 ab:aba=1,abbab=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23207 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:175,nodes:12,pairs:13,completionMax:19us [11m11s] 23207 ab:aba=1,abbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23207 ab:aba=1,abbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23208 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:187,nodes:12,pairs:8,completionMax:16us [11m11s] 23208 ab:aba=1,abbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23208 ab:aba=1,abbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23209 solved: rounds:4,rules:2,peak:5,longest:5,steps:7,word:0,work:306,nodes:14,pairs:14,completionMax:26us [11m11s] 23209 ab:aba=1,abbab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23209 ab:aba=1,abbab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23210 solved: rounds:5,rules:2,peak:4,longest:7,steps:4,word:4,work:266,nodes:16,pairs:12,completionMax:38us [11m11s] 23210 ab:aba=1,abbba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23210 ab:aba=1,abbba=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23211 solved: rounds:3,rules:2,peak:6,longest:5,steps:9,word:3,work:425,nodes:20,pairs:23,completionMax:53us [11m11s] 23211 ab:aba=1,abbba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23211 ab:aba=1,abbba=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23212 solved: rounds:5,rules:2,peak:4,longest:5,steps:4,word:1,work:214,nodes:16,pairs:17,completionMax:33us [11m11s] 23212 ab:aba=1,abbba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23212 ab:aba=1,abbba=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23213 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:550,nodes:18,pairs:19,completionMax:50us [11m11s] 23213 ab:aba=1,abbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23213 ab:aba=1,abbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23214 solved: rounds:3,rules:2,peak:5,longest:5,steps:4,word:0,work:315,nodes:12,pairs:19,completionMax:31us [11m11s] 23214 ab:aba=1,abbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23214 ab:aba=1,abbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23215 solved: rounds:5,rules:2,peak:4,longest:5,steps:9,word:0,work:357,nodes:16,pairs:14,completionMax:37us [11m11s] 23215 ab:aba=1,abbba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23215 ab:aba=1,abbba=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23216 solved: rounds:6,rules:2,peak:4,longest:10,steps:9,word:7,work:570,nodes:20,pairs:10,completionMax:49us [11m11s] 23216 ab:aba=1,abbbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23216 ab:aba=1,abbbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23217 solved: rounds:6,rules:2,peak:4,longest:7,steps:7,word:4,work:345,nodes:16,pairs:10,completionMax:35us [11m11s] 23217 ab:aba=1,abbbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23217 ab:aba=1,abbbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23218 solved: rounds:4,rules:2,peak:5,longest:7,steps:6,word:4,work:434,nodes:16,pairs:13,completionMax:31us [11m11s] 23218 ab:aba=1,abbbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23218 ab:aba=1,abbbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23219 solved: rounds:6,rules:2,peak:4,longest:5,steps:4,word:1,work:252,nodes:16,pairs:10,completionMax:42us [11m11s] 23219 ab:aba=1,abbbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23219 ab:aba=1,abbbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23220 solved: rounds:4,rules:2,peak:4,longest:7,steps:13,word:4,work:691,nodes:16,pairs:13,completionMax:47us [11m11s] 23220 ab:aba=1,abbbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23220 ab:aba=1,abbbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23221 solved: rounds:3,rules:2,peak:9,longest:5,steps:15,word:3,work:1093,nodes:18,pairs:18,completionMax:81us [11m11s] 23221 ab:aba=1,abbbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23221 ab:aba=1,abbbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23222 solved: rounds:3,rules:2,peak:9,longest:5,steps:15,word:3,work:1085,nodes:18,pairs:18,completionMax:78us [11m11s] 23222 ab:aba=1,abbbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23222 ab:aba=1,abbbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23223 solved: rounds:6,rules:2,peak:5,longest:5,steps:4,word:0,work:492,nodes:16,pairs:16,completionMax:49us [11m11s] 23223 ab:aba=1,abbbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23223 ab:aba=1,abbbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23224 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:284,nodes:14,pairs:12,completionMax:25us [11m11s] 23224 ab:aba=1,baaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23224 ab:aba=1,baaab=aaa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23225 solved: rounds:2,rules:2,peak:5,longest:5,steps:5,word:0,work:110,nodes:14,pairs:7,completionMax:15us [11m11s] 23225 ab:aba=1,baaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23225 ab:aba=1,baaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23226 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:91,nodes:16,pairs:19,completionMax:26us [11m11s] 23226 ab:aba=1,baaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23226 ab:aba=1,baaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23227 solved: rounds:2,rules:2,peak:6,longest:5,steps:3,word:0,work:149,nodes:20,pairs:14,completionMax:26us [11m11s] 23227 ab:aba=1,baaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23227 ab:aba=1,baaab=abb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23228 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:82,nodes:16,pairs:11,completionMax:13us [11m11s] 23228 ab:aba=1,baaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23228 ab:aba=1,baaab=bab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23229 solved: rounds:5,rules:2,peak:4,longest:5,steps:10,word:2,work:235,nodes:10,pairs:9,completionMax:24us [11m11s] 23229 ab:aba=1,baaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa a/b - - ab:aaaaa=1,b=aaa [11m11s] from: 23229 ab:aba=1,baaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b2;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aa to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bb,b=b [11m11s] # 23230 solved: rounds:2,rules:2,peak:6,longest:9,steps:11,word:8,work:963,nodes:26,pairs:14,completionMax:54us [11m11s] 23230 ab:aba=1,baabb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23230 ab:aba=1,baabb=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23231 solved: rounds:3,rules:2,peak:5,longest:8,steps:10,word:2,work:531,nodes:22,pairs:14,completionMax:48us [11m11s] 23231 ab:aba=1,baabb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23231 ab:aba=1,baabb=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23232 solved: rounds:2,rules:2,peak:4,longest:5,steps:7,word:2,work:203,nodes:16,pairs:11,completionMax:21us [11m11s] 23232 ab:aba=1,baabb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23232 ab:aba=1,baabb=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23233 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:246,nodes:20,pairs:17,completionMax:31us [11m11s] 23233 ab:aba=1,baabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23233 ab:aba=1,baabb=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23234 solved: rounds:2,rules:2,peak:4,longest:5,steps:9,word:2,work:232,nodes:16,pairs:6,completionMax:18us [11m11s] 23234 ab:aba=1,baabb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23234 ab:aba=1,baabb=baa finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23235 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:115,nodes:14,pairs:14,completionMax:19us [11m11s] 23235 ab:aba=1,baabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23235 ab:aba=1,baabb=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23236 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:0,work:131,nodes:14,pairs:14,completionMax:27us [11m11s] 23236 ab:aba=1,baabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23236 ab:aba=1,baabb=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23237 solved: rounds:4,rules:2,peak:4,longest:5,steps:4,word:0,work:191,nodes:16,pairs:10,completionMax:21us [11m11s] 23237 ab:aba=1,baabb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23237 ab:aba=1,baabb=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23238 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:4,work:62,nodes:16,pairs:4,completionMax:19us [11m11s] 23238 ab:aba=1,babab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23238 ab:aba=1,babab=aaa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23239 solved: rounds:3,rules:2,peak:4,longest:4,steps:5,word:1,work:97,nodes:8,pairs:8,completionMax:20us [11m11s] 23239 ab:aba=1,babab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23239 ab:aba=1,babab=aab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23240 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:10us [11m11s] 23240 ab:aba=1,babab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23240 ab:aba=1,babab=aba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23241 solved: rounds:3,rules:2,peak:5,longest:3,steps:4,word:0,work:177,nodes:12,pairs:10,completionMax:23us [11m11s] 23241 ab:aba=1,babab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23241 ab:aba=1,babab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23242 solved: rounds:3,rules:2,peak:5,longest:3,steps:3,word:0,work:106,nodes:10,pairs:15,completionMax:19us [11m11s] 23242 ab:aba=1,babab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23242 ab:aba=1,babab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23243 solved: rounds:5,rules:2,peak:4,longest:3,steps:3,word:0,work:99,nodes:10,pairs:5,completionMax:14us [11m11s] 23243 ab:aba=1,babab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m11s] from: 23243 ab:aba=1,babab=bbb finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m11s] # 23244 solved: rounds:3,rules:2,peak:6,longest:19,steps:16,word:14,work:1496,nodes:44,pairs:16,completionMax:76us [11m11s] 23244 ab:aba=1,babbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23244 ab:aba=1,babbb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23245 solved: rounds:3,rules:2,peak:6,longest:14,steps:17,word:8,work:1753,nodes:44,pairs:13,completionMax:103us [11m11s] 23245 ab:aba=1,babbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23245 ab:aba=1,babbb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23246 solved: rounds:4,rules:2,peak:4,longest:7,steps:4,word:4,work:198,nodes:16,pairs:15,completionMax:34us [11m11s] 23246 ab:aba=1,babbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23246 ab:aba=1,babbb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23247 solved: rounds:3,rules:2,peak:7,longest:10,steps:19,word:3,work:1190,nodes:30,pairs:24,completionMax:87us [11m11s] 23247 ab:aba=1,babbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23247 ab:aba=1,babbb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23248 solved: rounds:5,rules:2,peak:4,longest:7,steps:5,word:4,work:216,nodes:16,pairs:10,completionMax:38us [11m11s] 23248 ab:aba=1,babbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23248 ab:aba=1,babbb=baa finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23249 solved: rounds:5,rules:2,peak:4,longest:5,steps:3,word:1,work:171,nodes:16,pairs:10,completionMax:27us [11m11s] 23249 ab:aba=1,babbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23249 ab:aba=1,babbb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23250 solved: rounds:3,rules:2,peak:7,longest:10,steps:19,word:3,work:1176,nodes:30,pairs:24,completionMax:81us [11m11s] 23250 ab:aba=1,babbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23250 ab:aba=1,babbb=bba finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23251 solved: rounds:5,rules:2,peak:5,longest:5,steps:5,word:0,work:312,nodes:16,pairs:17,completionMax:43us [11m11s] 23251 ab:aba=1,babbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23251 ab:aba=1,babbb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23252 solved: rounds:6,rules:2,peak:4,longest:10,steps:8,word:7,work:473,nodes:20,pairs:13,completionMax:52us [11m11s] 23252 ab:aba=1,bbabb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23252 ab:aba=1,bbabb=aaa finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23253 solved: rounds:3,rules:2,peak:5,longest:14,steps:19,word:12,work:1438,nodes:34,pairs:19,completionMax:88us [11m11s] 23253 ab:aba=1,bbabb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23253 ab:aba=1,bbabb=aab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23254 solved: rounds:6,rules:2,peak:4,longest:7,steps:5,word:4,work:238,nodes:14,pairs:14,completionMax:34us [11m11s] 23254 ab:aba=1,bbabb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23254 ab:aba=1,bbabb=aba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23255 solved: rounds:6,rules:2,peak:4,longest:5,steps:6,word:1,work:300,nodes:16,pairs:11,completionMax:35us [11m11s] 23255 ab:aba=1,bbabb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23255 ab:aba=1,bbabb=abb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23256 solved: rounds:6,rules:2,peak:4,longest:5,steps:5,word:1,work:224,nodes:14,pairs:11,completionMax:39us [11m11s] 23256 ab:aba=1,bbabb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23256 ab:aba=1,bbabb=bab finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23257 solved: rounds:6,rules:2,peak:5,longest:5,steps:4,word:0,work:440,nodes:16,pairs:14,completionMax:36us [11m11s] 23257 ab:aba=1,bbabb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23257 ab:aba=1,bbabb=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23258 solved: rounds:7,rules:2,peak:4,longest:13,steps:12,word:10,work:1084,nodes:26,pairs:14,completionMax:58us [11m11s] 23258 ab:aba=1,bbbbb=aaa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaaa=1,b=aaaaaaaaaaa [11m11s] from: 23258 ab:aba=1,bbbbb=aaa finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b6;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbb,b=b [11m11s] # 23259 solved: rounds:7,rules:2,peak:4,longest:10,steps:8,word:7,work:696,nodes:20,pairs:16,completionMax:46us [11m11s] 23259 ab:aba=1,bbbbb=aab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23259 ab:aba=1,bbbbb=aab finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23260 solved: rounds:7,rules:2,peak:4,longest:10,steps:6,word:7,work:506,nodes:20,pairs:12,completionMax:33us [11m11s] 23260 ab:aba=1,bbbbb=aba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaa=1,b=aaaaaaaa [11m11s] from: 23260 ab:aba=1,bbbbb=aba finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a8;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bbbbbbbb [11m11s] # 23261 solved: rounds:7,rules:2,peak:4,longest:7,steps:6,word:4,work:561,nodes:14,pairs:14,completionMax:51us [11m11s] 23261 ab:aba=1,bbbbb=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23261 ab:aba=1,bbbbb=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23262 solved: rounds:7,rules:2,peak:4,longest:7,steps:6,word:4,work:493,nodes:14,pairs:13,completionMax:45us [11m11s] 23262 ab:aba=1,bbbbb=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa a/b - - ab:aaaaaaa=1,b=aaaaa [11m11s] from: 23262 ab:aba=1,bbbbb=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b3;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aa to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbb,b=b [11m11s] # 23263 solved: rounds:7,rules:2,peak:4,longest:5,steps:5,word:1,work:290,nodes:14,pairs:10,completionMax:38us [11m11s] 23263 ab:aba=1,bbbbb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a/b - - ab:aaaa=1,b=aa [11m11s] from: 23263 ab:aba=1,bbbbb=bbb finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=aa [11m11s] # 23264 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:0,completionMax:2us [11m11s] 23264 ab:aaa=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23264 ab:aaa=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23265 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:54,nodes:10,pairs:6,completionMax:22us [11m11s] 23265 ab:aaa=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23265 ab:aaa=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23266 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:49,nodes:10,pairs:4,completionMax:11us [11m11s] 23266 ab:aaa=1,aaba=aaab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [11m11s] from: 23266 ab:aaa=1,aaba=aaab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [11m11s] # 23267 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:69,nodes:16,pairs:7,completionMax:24us [11m11s] 23267 ab:aaa=1,aabb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 23267 ab:aaa=1,aabb=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 23268 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:34,nodes:12,pairs:3,completionMax:13us [11m11s] 23268 ab:aaa=1,aabb=aaab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 23268 ab:aaa=1,aabb=aaab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 23269 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:0,work:203,nodes:18,pairs:8,completionMax:26us [11m11s] 23269 ab:aaa=1,aabb=aaba finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [11m11s] from: 23269 ab:aaa=1,aabb=aaba finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [11m11s] # 23270 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:0,work:72,nodes:12,pairs:4,completionMax:11us [11m11s] 23270 ab:aaa=1,abaa=aaab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [11m11s] from: 23270 ab:aaa=1,abaa=aaab infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [11m11s] # 23271 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:0,work:112,nodes:12,pairs:4,completionMax:12us [11m11s] 23271 ab:aaa=1,abaa=aaba infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 ab - - ab:ba=ab,aaa=1 [11m11s] from: 23271 ab:aaa=1,abaa=aaba infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 to: 151 ab:ba=ab,aaa=1 infinite;commutative:ab:a3=1;saturation:ab:b3=1;cancellative;smith:3,0 a=a,b=b [11m11s] # 23272 solved: rounds:4,rules:6,peak:7,longest:7,steps:10,word:0,work:2014,nodes:30,pairs:26,completionMax:114us [11m11s] 23272 ab:aaa=1,abaa=aabb finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [11m11s] from: 23272 ab:aaa=1,abaa=aabb finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [11m11s] # 23273 solved: rounds:5,rules:2,peak:5,longest:6,steps:3,word:3,work:249,nodes:14,pairs:20,completionMax:35us [11m11s] 23273 ab:aaa=1,abab=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 23273 ab:aaa=1,abab=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 23274 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:129,nodes:16,pairs:5,completionMax:15us [11m11s] 23274 ab:aaa=1,abab=aaab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 23274 ab:aaa=1,abab=aaab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 23275 solved: rounds:3,rules:7,peak:9,longest:6,steps:8,word:0,work:2794,nodes:32,pairs:31,completionMax:143us [11m11s] 23275 ab:aaa=1,abab=aaba finite:27;idempotents:1,bbb;center:1,bbb,aabaab ab - - ab:aaa=1,bab=aba,bbba=abbb,bbbb=b,baaba=abaab,baabb=aabba,bbaab=abbaa [11m11s] from: 23275 ab:aaa=1,abab=aaba finite:27;idempotents:1,bbb;center:1,bbb,aabaab to: 1310 ab:bab=aba,bbb=1 finite:27;idempotents:1,aaa;center:1,aaa,bbabba a=b,b=a [11m11s] # 23276 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:0,work:256,nodes:22,pairs:7,completionMax:24us [11m11s] 23276 ab:aaa=1,abab=aabb infinite ab - - ab:aaa=1,bab=abb,baabb=aabbb [11m11s] from: 23276 ab:aaa=1,abab=aabb infinite to: 7773 ab:aaa=1,aabab=bb infinite a=a,b=b [11m11s] # 23277 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:582,nodes:16,pairs:28,completionMax:46us [11m11s] 23277 ab:aaa=1,abab=abaa finite:12;idempotents:1,aab,abb,bbb ba - - ab:ba=bb,aaa=1,bbbb=b [11m11s] from: 23277 ab:aaa=1,abab=abaa finite:12;idempotents:1,aab,abb,bbb to: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba a=b,b=a [11m11s] # 23278 solved: rounds:4,rules:2,peak:5,longest:6,steps:3,word:3,work:105,nodes:14,pairs:10,completionMax:26us [11m11s] 23278 ab:aaa=1,abba=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb b/a - - ab:bbbbbb=1,a=bbbb [11m11s] from: 23278 ab:aaa=1,abba=aaaa finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbbb,b=b [11m11s] # 23279 solved: rounds:4,rules:6,peak:7,longest:6,steps:11,word:0,work:1817,nodes:30,pairs:10,completionMax:66us [11m11s] 23279 ab:aaa=1,abba=aaab finite:27;idempotents:1,ababab;center:1,bbb,ababab ab - - ab:aaa=1,baa=abb,bba=aab,babb=aaba,bbbbb=ababa,bababa=ababab [11m11s] from: 23279 ab:aaa=1,abba=aaab finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab a=a,b=b [11m11s] # 23280 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:0,work:304,nodes:18,pairs:14,completionMax:35us [11m11s] 23280 ab:aaa=1,abba=aaba finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 23280 ab:aaa=1,abba=aaba finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 23281 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:86,nodes:14,pairs:3,completionMax:8us [11m11s] 23281 ab:aaa=1,abba=aabb infinite ab - - ab:aaa=1,bba=abb [11m11s] from: 23281 ab:aaa=1,abba=aabb infinite to: 7777 ab:aaa=1,aabba=bb infinite a=a,b=b [11m11s] # 23282 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:0,work:526,nodes:24,pairs:8,completionMax:40us [11m11s] 23282 ab:aaa=1,abba=abab infinite ba - - ab:bab=bba,aaa=1,bbaab=bbbaa [11m11s] from: 23282 ab:aaa=1,abba=abab infinite to: 1288 ab:aba=aab,bbb=1 infinite a=b,b=a [11m11s] # 23283 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:14,pairs:1,completionMax:5us [11m11s] 23283 ab:aaa=1,abbb=aaaa infinite;group:a-aa,b-bb ab - - ab:aaa=1,bbb=1 [11m11s] from: 23283 ab:aaa=1,abbb=aaaa infinite;group:a-aa,b-bb to: 28 ab:aaa=1,bbb=1 infinite;group:a-aa,b-bb a=a,b=b [11m11s] # 23284 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:58,nodes:18,pairs:5,completionMax:14us [11m11s] 23284 ab:aaa=1,abbb=aaab finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 23284 ab:aaa=1,abbb=aaab finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 23285 solved: rounds:4,rules:9,peak:11,longest:29,steps:22,word:21,work:11346,nodes:160,pairs:44,completionMax:482us [11m11s] 23285 ab:aaa=1,abbb=aaba finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbb=b,babbbbbbbbbbbbbbbbbbbbbbbb=ba,bbbba=abbbb,aab=babbbbbbbbbbbbbbbbbbbbbb,aba=bbb,abba=bbbabbb,baa=bbabbbbbbbbbbbbbbbbbbbbb,babbba=abbbabbbbbbb,aaa=1 [11m11s] from: 23285 ab:aaa=1,abbb=aaba finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=a [11m11s] # 23286 solved: rounds:1,rules:3,peak:4,longest:5,steps:2,word:0,work:97,nodes:18,pairs:2,completionMax:13us [11m11s] 23286 ab:aaa=1,abbb=aabb infinite ba - - ab:abb=bbb,aaa=1,bbbbb=bb [11m11s] from: 23286 ab:aaa=1,abbb=aabb infinite to: 7781 ab:aaa=1,aabbb=bb infinite a=a,b=b [11m11s] # 23287 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:6,work:234,nodes:26,pairs:11,completionMax:38us [11m11s] 23287 ab:aaa=1,abbb=abaa finite:21;idempotents:1,abb,aabbbb,bbbbbb b/a - - ab:bbbbbbb=b,ba=bbbbb,aaa=1 [11m11s] from: 23287 ab:aaa=1,abbb=abaa finite:21;idempotents:1,abb,aabbbb,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb anti:a=a,b=b [11m11s] # 23288 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:47,nodes:14,pairs:2,completionMax:8us [11m11s] 23288 ab:aaa=1,abbb=abab infinite ba - - ab:bab=bbb,aaa=1 [11m11s] from: 23288 ab:aaa=1,abbb=abab infinite to: 1283 ab:aba=aaa,bbb=1 infinite a=b,b=a [11m11s] # 23289 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:194,nodes:22,pairs:6,completionMax:25us [11m11s] 23289 ab:aaa=1,abbb=abba infinite ba - - ab:bba=bbb,aaa=1,bbbbb=bb [11m11s] from: 23289 ab:aaa=1,abbb=abba infinite to: 1279 ab:aab=aaa,bbb=1 infinite a=b,b=a [11m11s] # 23290 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:2us [11m11s] 23290 ab:aaa=1,baaa=aaab infinite ab - - ab:aaa=1 [11m11s] from: 23290 ab:aaa=1,baaa=aaab infinite to: 736 ab:aaa=1,aaaa=a infinite a=a,b=1 [11m11s] # 23291 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:35,nodes:12,pairs:3,completionMax:10us [11m11s] 23291 ab:aaa=1,baaa=aabb finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 23291 ab:aaa=1,baaa=aabb finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 23292 solved: rounds:2,rules:3,peak:6,longest:4,steps:3,word:0,work:130,nodes:16,pairs:5,completionMax:21us [11m11s] 23292 ab:aaa=1,baaa=abab finite:12;idempotents:1,baa,bba,bbb ba - - ab:ab=bb,aaa=1,bbbb=b [11m11s] from: 23292 ab:aaa=1,baaa=abab finite:12;idempotents:1,baa,bba,bbb to: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb a=a,b=b [11m11s] # 23293 solved: rounds:3,rules:3,peak:4,longest:7,steps:1,word:3,work:59,nodes:18,pairs:5,completionMax:18us [11m11s] 23293 ab:aaa=1,baaa=abbb finite:21;idempotents:1,bba,bbbbaa,bbbbbb b/a - - ab:bbbbbbb=b,ab=bbbbb,aaa=1 [11m11s] from: 23293 ab:aaa=1,baaa=abbb finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb a=a,b=b [11m11s] # 23294 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:12,pairs:0,completionMax:2us [11m11s] 23294 ab:aaa=1,baab=aaaa infinite;group:a-aa,b-aabaa ab - - ab:aaa=1,baab=a [11m11s] from: 23294 ab:aaa=1,baab=aaaa infinite;group:a-aa,b-aabaa to: 750 ab:aaa=1,baab=a infinite;group:a-aa,b-aabaa a=a,b=b [11m11s] # 23295 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:1us [11m11s] 23295 ab:aaa=1,baab=aaab infinite ab - - ab:aaa=1,baab=b [11m11s] from: 23295 ab:aaa=1,baab=aaab infinite to: 751 ab:aaa=1,baab=b infinite a=a,b=b [11m11s] # 23296 solved: rounds:3,rules:8,peak:11,longest:6,steps:5,word:0,work:2047,nodes:28,pairs:35,completionMax:129us [11m11s] 23296 ab:aaa=1,baab=aaba finite:24;idempotents:1,bbb;center:1,bbb ab - - ab:aaa=1,baab=aaba,baba=aabb,babb=abaa,bbaa=abab,bbab=abba,bbba=abbb,bbbb=b [11m11s] from: 23296 ab:aaa=1,baab=aaba finite:24;idempotents:1,bbb;center:1,bbb to: 7784 ab:aaa=1,abaab=ba finite:24;idempotents:1,bbb;center:1,bbb a=a,b=b [11m11s] # 23297 solved: rounds:1,rules:3,peak:3,longest:4,steps:4,word:0,work:112,nodes:14,pairs:1,completionMax:8us [11m11s] 23297 ab:aaa=1,baab=aabb infinite ab - - ab:aaa=1,baab=aabb,babb=abbb [11m11s] from: 23297 ab:aaa=1,baab=aabb infinite to: 7785 ab:aaa=1,abaab=bb infinite a=a,b=b [11m11s] # 23298 solved: rounds:3,rules:4,peak:5,longest:6,steps:4,word:2,work:340,nodes:33,pairs:12,completionMax:40us [11m11s] 23298 ab:aaa=1,baab=abab infinite ac/b ab=c frequency:2/0 abc:aaa=1,cac=acc,caacc=aaccc,b=aac [11m11s] from: 23298 ab:aaa=1,baab=abab infinite to: 7773 ab:aaa=1,aabab=bb infinite a=a,b=aab,c=b [11m11s] # 23299 solved: rounds:3,rules:5,peak:8,longest:7,steps:4,word:2,work:1061,nodes:45,pairs:23,completionMax:64us [11m11s] 23299 ab:aaa=1,baab=abba infinite c/a/b aa=c frequency:2/0 abc:ccc=1,a=cc,cbcb=bbcc,ccbb=bcbc,cbbb=bbbc [11m11s] from: 23299 ab:aaa=1,baab=abba infinite to: 7788 ab:aaa=1,ababa=bb infinite anti:a=aa,b=b,c=a [11m11s] # 23300 solved: rounds:5,rules:7,peak:7,longest:11,steps:17,word:0,work:12006,nodes:66,pairs:41,completionMax:290us [11m11s] 23300 ab:aaa=1,baab=abbb infinite ab - - ab:aaa=1,baab=abbb,bbabbb=aabbbb,babbbbbb=aababbbb,bbababbbb=abbbbb,bbbbbbbbb=abababbbb,babababbbb=abababbbbb [11m11s] # 23301 solved: rounds:2,rules:4,peak:6,longest:6,steps:4,word:0,work:442,nodes:26,pairs:16,completionMax:45us [11m11s] 23301 ab:aaa=1,baba=aabb infinite ab - - ab:aaa=1,baba=aabb,bbaa=abab,bbba=abbb [11m11s] from: 23301 ab:aaa=1,baba=aabb infinite to: 7788 ab:aaa=1,ababa=bb infinite a=a,b=b [11m11s] # 23302 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:2,work:127,nodes:18,pairs:6,completionMax:23us [11m11s] 23302 ab:aaa=1,baba=abab infinite ac/b ba=c frequency:2/0 abc:aaa=1,cca=acc,b=caa [11m11s] from: 23302 ab:aaa=1,baba=abab infinite to: 7777 ab:aaa=1,aabba=bb infinite a=a,b=baa,c=b [11m11s] # 23303 solved: rounds:11,rules:23,peak:40,longest:65,steps:35,word:75,work:2171930,nodes:458,pairs:1753,completionMax:38112us [11m11s] 23303 ab:aaa=1,baba=abbb infinite b/a - - ab:bbbbbbbbbb=bbbbbbb,abbbbbbb=bbbbbbbb,babbbb=bbbbbbbbb,bbbbbabb=bbbbbbbb,bbbbbbab=bbbbbbbb,bbbbbbba=bbbbbbbb,baabbb=abbbba,baba=abbb,babbabb=bbbbbbb,babbbab=bbbbbbb,bbabbab=bbbbbbb,bbbbbaab=bbbbbbbb,aaa=1,aabab=bbbaa,abbbaa=bab,abbbbbbaa=babbab,bbaabbab=bbbbbbbb,bbbbabbaab=bbbbbbb,abbbbaaba=baabbabbb,bbbaabbaa=aabbab,bbbbaabaab=bbbbbbb,aabaabbabbb=bbbbaaba,baabaabbab=bbbbbbb [11m11s] # 23304 solved: rounds:3,rules:3,peak:6,longest:9,steps:20,word:54,work:2822,nodes:30,pairs:27,completionMax:127us [11m11s] 23304 ab:aaa=1,babb=aaaa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb b/a - - ab:bbbbbbbbb=1,ba=abbbbbbb,aaa=1 [11m11s] from: 23304 ab:aaa=1,babb=aaaa finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=a,b=b [11m11s] # 23305 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:2us [11m11s] 23305 ab:aaa=1,babb=aaab infinite ab - - ab:aaa=1,babb=b [11m11s] from: 23305 ab:aaa=1,babb=aaab infinite to: 753 ab:aaa=1,babb=b infinite a=a,b=b [11m11s] # 23306 solved: rounds:7,rules:74,peak:75,longest:8,steps:12,word:0,work:152491,nodes:249,pairs:367,completionMax:5171us [11m11s] 23306 ab:aaa=1,babb=aaba infinite reversed:acb baab=c frequency:4/0 abc:aaa=1,acac=ccaa,abac=cbaa,aacc=caca,accc=ccca,abcc=cbca,cabc=aaba,ccbc=acba,cbbc=abba,caab=baac,baab=c,aacb=baca,cacb=bacc,bacb=caca,aabb=babc,cabb=baba,babb=aaba,ababc=bb,cbabc=bbaca,bbabc=cb,abcbc=bbcaa,cbcbc=bbcca,bbcbc=cbcaa,abbbc=bbbca,cbbbc=bbbaa,bbbbc=abbaa,acabab=ccbbaa,ababab=cbbbaa,accbab=ccbbac,abcbab=cbbbac,ccbbab=accbaa,cbbbab=abcbaa,accbbb=ccbbba,abcbbb=cbbbba,ccbbbb=ababaa,cbbbbb=baa,acabaac=ccab,ababaac=cbab,accbaac=cccb,abcbaac=cbcb,ccbbaac=acbb,cbbbaac=abbb,accbbac=cccbbaa,abcbbac=cbcbbaa,ccbbbac=acbbbaa,cbbbbac=abbbbaa,accbacc=cccbaca,abcbacc=cbcbaca,ccbbacc=acbbaca,cbbbacc=abbbaca,abcbbab=bbcbbaa,cbcbbab=bbcbbac,bbcbbab=cbcbbaa,abbbbab=bbbbbac,cbbbbab=bbbbbaa,bbbbbab=abbbbaa,cbcbbbb=bbcbbba,bbcbbbb=cbbbbaa,abbbbbb=bbbbbba,bbbbbbb=b,abcbbaac=bbcab,cbcbbaac=bbccb,bbcbbaac=cbcab,abbbbaac=bbbcb,cbbbbaac=bbbab,bbbbbaac=abbab,cbcbbbac=bbccbbaa,bbcbbbac=cbbab,abbbbbac=bbbcbbaa,bbbbbbac=ac,cbcbbacc=bbccbaca,bbcbbacc=cbccb,abbbbacc=bbbcbaca,bbbbbacc=abbcb [11m11s] from: 23306 ab:aaa=1,babb=aaba infinite to: 7791 ab:aaa=1,ababb=ba infinite a=a,b=b,c=c [11m11s] # 23307 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:10,nodes:14,pairs:2,completionMax:6us [11m11s] 23307 ab:aaa=1,babb=aabb infinite ba - - ab:aaa=1,aabb=babb,ababb=bb [11m11s] from: 23307 ab:aaa=1,babb=aabb infinite to: 7792 ab:aaa=1,ababb=bb infinite a=a,b=b [11m11s] # 23308 solved: rounds:5,rules:17,peak:25,longest:12,steps:12,word:6,work:59314,nodes:142,pairs:147,completionMax:1735us [11m11s] 23308 ab:aaa=1,babb=abaa finite:129;idempotents:1,bbbbbb;center:1,bbbbbb reversed:a/b - - ab:aaa=1,babb=abaa,bbba=aababab,baababa=aabbaab,babaaba=aabaabb,baabaaba=abbab,baabbaa=ababaab,bbabaa=aabaabaab,bababaa=abbb,bbaabaa=abaabab,bbabab=abaaba,baabaabba=abaabaabb,baabbaba=abaabbab,baabbbb=aaba,bbaabbb=aabbaba,bababababa=aabbbbb,bbbbbbb=b [11m11s] from: 23308 ab:aaa=1,babb=abaa finite:129;idempotents:1,bbbbbb;center:1,bbbbbb to: 7795 ab:aaa=1,abbab=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb anti:a=a,b=b [11m11s] # 23309 solved: rounds:5,rules:10,peak:20,longest:12,steps:11,word:3,work:33390,nodes:122,pairs:64,completionMax:992us [11m11s] 23309 ab:aaa=1,babb=abab infinite b/a - - ab:babbbb=bab,bbbbbab=bbab,abab=babb,abbbbab=bbbbabb,babbab=abbabb,bbbabbbab=abbbab,aaa=1,aabbab=babbbabbb,abbabbbab=bbabbbabb,baabbbab=aabbbabb [11m11s] # 23310 solved: rounds:4,rules:10,peak:16,longest:11,steps:9,word:6,work:12054,nodes:80,pairs:92,completionMax:562us [11m11s] 23310 ab:aaa=1,babb=abba infinite b/a - - ab:bbbbb=bb,bbabbb=bba,bbba=abbb,abba=babb,bababb=aabbbb,bbaa=ababbbb,bbaba=baabb,aaa=1,aababb=bba,abaabb=baabbb [11m11s] # 23311 solved: rounds:1,rules:3,peak:3,longest:7,steps:6,word:0,work:283,nodes:20,pairs:1,completionMax:12us [11m11s] 23311 ab:aaa=1,babb=abbb infinite ab - - ab:aaa=1,babb=abbb,baabbbb=aabbbbb [11m11s] # 23312 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:2us [11m11s] 23312 ab:aaa=1,babb=baaa infinite ab - - ab:aaa=1,babb=b [11m11s] from: 23312 ab:aaa=1,babb=baaa infinite to: 753 ab:aaa=1,babb=b infinite a=a,b=b [11m11s] # 23313 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m11s] 23313 ab:aaa=1,babb=baab infinite ab - - ab:aaa=1,babb=baab [11m11s] # 23314 solved: rounds:2,rules:6,peak:6,longest:4,steps:3,word:0,work:65,nodes:27,pairs:5,completionMax:17us [11m11s] 23314 ab:aaa=1,babb=baba infinite abc ba=c frequency:2/0 abc:ba=c,aaa=1,caa=b,cbb=cc,cca=cbc,cbca=cb [11m11s] # 23315 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:34,nodes:12,pairs:2,completionMax:6us [11m11s] 23315 ab:aaa=1,bbaa=aabb infinite ab - - ab:aaa=1,bba=abb [11m11s] from: 23315 ab:aaa=1,bbaa=aabb infinite to: 7777 ab:aaa=1,aabba=bb infinite a=a,b=b [11m11s] # 23316 solved: rounds:5,rules:12,peak:28,longest:64,steps:31,word:57,work:340079,nodes:370,pairs:392,completionMax:6851us [11m11s] 23316 ab:aaa=1,bbaa=abbb infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bba,bbbbba=abbbbb,aabb=bbba,ababb=bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbba=bb,bbaa=abbb,bbaba=bbbbabbbbbbbbbbbbbbbbbbbbbbbbbbb,bbabba=abbbbabbb,bbbabbbba=abbabb,aaa=1,babbabbbba=abbabbbbabbbbbbbbbbbbbbbbbbb [11m11s] from: 23316 ab:aaa=1,bbaa=abbb infinite to: 7799 ab:aaa=1,abbba=bb infinite a=a,b=b [11m11s] # 23317 solved: rounds:3,rules:8,peak:9,longest:12,steps:6,word:6,work:3157,nodes:62,pairs:24,completionMax:183us [11m11s] 23317 ab:aaa=1,bbaa=babb infinite reversed:b/a - - ab:bbbbbbbbb=bbb,bbbbbbbbab=bbab,babbb=bbbba,bbaa=babb,bbaba=bbbbbbab,babba=bb,bababb=bba,aaa=1 [11m11s] from: 23317 ab:aaa=1,bbaa=babb infinite to: 7796 ab:aaa=1,abbab=bb infinite anti:a=a,b=b [11m11s] # 23318 solved: rounds:2,rules:4,peak:4,longest:8,steps:6,word:0,work:215,nodes:24,pairs:2,completionMax:17us [11m11s] 23318 ab:aaa=1,bbab=abbb infinite ba - - ab:aaa=1,abbb=bbab,aabbab=bbb,abbabbab=bbbbb [11m11s] # 23319 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:12,pairs:0,completionMax:4us [11m11s] 23319 ab:aaa=1,bbab=babb infinite ab - - ab:aaa=1,bbab=babb [11m11s] # 23320 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:15,nodes:12,pairs:0,completionMax:3us [11m11s] 23320 ab:aaa=1,bbba=abbb infinite ab - - ab:aaa=1,bbba=abbb [11m11s] # 23321 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:6,work:71,nodes:24,pairs:3,completionMax:16us [11m11s] 23321 ab:aaa=1,bbbb=aaaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbb [11m11s] from: 23321 ab:aaa=1,bbbb=aaaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b4;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbb,b=b [11m11s] # 23322 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:3us [11m11s] 23322 ab:aaa=1,bbbb=aaab infinite ab - - ab:aaa=1,bbbb=b [11m11s] from: 23322 ab:aaa=1,bbbb=aaab infinite to: 755 ab:aaa=1,bbbb=b infinite a=a,b=b [11m11s] # 23323 solved: rounds:2,rules:3,peak:4,longest:66,steps:67,word:186,work:6819,nodes:258,pairs:10,completionMax:888us [11m11s] 23323 ab:aaa=1,bbbb=aaba finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbb,aaa=1 [11m11s] from: 23323 ab:aaa=1,bbbb=aaba finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7802 ab:aaa=1,abbbb=ba finite:192;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m11s] # 23324 solved: rounds:1,rules:3,peak:4,longest:8,steps:2,word:3,work:115,nodes:24,pairs:2,completionMax:13us [11m11s] 23324 ab:aaa=1,bbbb=aabb infinite b/a - - ab:bbbbbbbb=bb,abb=bbbbbb,aaa=1 [11m11s] from: 23324 ab:aaa=1,bbbb=aabb infinite to: 7803 ab:aaa=1,abbbb=bb infinite a=a,b=b [11m11s] # 23325 solved: rounds:5,rules:11,peak:13,longest:30,steps:16,word:18,work:25203,nodes:250,pairs:26,completionMax:768us [11m11s] 23325 ab:aaa=1,bbbb=abab infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbb,babbbbbbbbbbbbbbbbbbbbbbbbbbb=babbb,bbabbbbbbbbbbbbbbbbbbbbbbbbbb=bbabb,bbbbab=abbbbb,aabbbb=bab,abab=bbbb,abbabb=bbbabbbbb,babbab=abbbbbbbb,babbbab=abbbabbbbbbbb,aaa=1,aabbbabb=bbabbbbbbbbbbbbbbbbbbbbbbb [11m11s] # 23326 solved: rounds:4,rules:13,peak:24,longest:15,steps:9,word:20,work:18116,nodes:159,pairs:119,completionMax:886us [11m11s] 23326 ab:aaa=1,bbbb=abba infinite b/ca bba=c frequency:3/0 abc:bbbbbbbbbbbbbb=bb,cbbbbbbbbbbbb=c,bbbbbbc=cbbbbbb,abb=bbbbcbbbbbbbb,bba=c,cc=bbbbbb,cbbc=bbbbcbbbb,cbbbbc=bbcbb,ca=bbcbbbbbbbb,cba=cbbbbbcbbbbbb,ac=bbbb,abc=bbbbcbcbbbbbb,aaa=1 [11m11s] # 23327 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:93,nodes:20,pairs:1,completionMax:10us [11m11s] 23327 ab:aaa=1,bbbb=abbb infinite ba - - ab:aaa=1,abbb=bbbb,bbbbbb=bbb [11m11s] # 23328 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [11m11s] 23328 ab:aaa=1,bbbb=baab infinite ba - - ab:aaa=1,baab=bbbb [11m11s] # 23329 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:4us [11m11s] 23329 ab:aaa=1,bbbb=babb infinite ba - - ab:aaa=1,babb=bbbb [11m11s] # 23330 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:41,nodes:8,pairs:4,completionMax:17us [11m11s] 23330 ab:aab=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23330 ab:aab=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23331 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:40,nodes:8,pairs:4,completionMax:16us [11m11s] 23331 ab:aab=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23331 ab:aab=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23332 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:1us [11m11s] 23332 ab:aab=1,aaba=aaab infinite ab - - ab:aab=1 [11m11s] from: 23332 ab:aab=1,aaba=aaab infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 23333 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:3,nodes:12,pairs:1,completionMax:7us [11m11s] 23333 ab:aab=1,aabb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23333 ab:aab=1,aabb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23334 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:3us [11m11s] 23334 ab:aab=1,aabb=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23334 ab:aab=1,aabb=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23335 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:6,nodes:6,pairs:1,completionMax:3us [11m11s] 23335 ab:aab=1,aabb=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23335 ab:aab=1,aabb=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23336 solved: rounds:3,rules:2,peak:4,longest:5,steps:2,word:0,work:159,nodes:14,pairs:9,completionMax:29us [11m11s] 23336 ab:aab=1,abaa=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23336 ab:aab=1,abaa=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23337 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:10,pairs:3,completionMax:13us [11m11s] 23337 ab:aab=1,abaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23337 ab:aab=1,abaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23338 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:10,pairs:3,completionMax:14us [11m11s] 23338 ab:aab=1,abaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23338 ab:aab=1,abaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23339 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:220,nodes:16,pairs:14,completionMax:30us [11m11s] 23339 ab:aab=1,abaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23339 ab:aab=1,abaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23340 solved: rounds:3,rules:2,peak:4,longest:9,steps:2,word:3,work:220,nodes:22,pairs:8,completionMax:28us [11m11s] 23340 ab:aab=1,abab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23340 ab:aab=1,abab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23341 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:42,nodes:10,pairs:6,completionMax:13us [11m11s] 23341 ab:aab=1,abab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23341 ab:aab=1,abab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23342 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:41,nodes:10,pairs:6,completionMax:12us [11m11s] 23342 ab:aab=1,abab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23342 ab:aab=1,abab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23343 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:40,nodes:14,pairs:1,completionMax:6us [11m11s] 23343 ab:aab=1,abab=aabb infinite ab - - ab:aab=1,bab=abb [11m11s] from: 23343 ab:aab=1,abab=aabb infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 23344 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:0,work:155,nodes:16,pairs:9,completionMax:21us [11m11s] 23344 ab:aab=1,abab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23344 ab:aab=1,abab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23345 solved: rounds:2,rules:2,peak:6,longest:7,steps:2,word:3,work:240,nodes:20,pairs:8,completionMax:46us [11m11s] 23345 ab:aab=1,abba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23345 ab:aab=1,abba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23346 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:101,nodes:12,pairs:11,completionMax:31us [11m11s] 23346 ab:aab=1,abba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23346 ab:aab=1,abba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23347 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:100,nodes:12,pairs:11,completionMax:31us [11m11s] 23347 ab:aab=1,abba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23347 ab:aab=1,abba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23348 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:45,nodes:12,pairs:3,completionMax:8us [11m11s] 23348 ab:aab=1,abba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23348 ab:aab=1,abba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23349 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:167,nodes:12,pairs:8,completionMax:43us [11m11s] 23349 ab:aab=1,abba=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23349 ab:aab=1,abba=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23350 solved: rounds:1,rules:2,peak:3,longest:4,steps:5,word:0,work:99,nodes:12,pairs:3,completionMax:11us [11m11s] 23350 ab:aab=1,abba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23350 ab:aab=1,abba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23351 solved: rounds:3,rules:2,peak:4,longest:11,steps:2,word:6,work:207,nodes:24,pairs:8,completionMax:44us [11m11s] 23351 ab:aab=1,abbb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23351 ab:aab=1,abbb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23352 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:48,nodes:14,pairs:5,completionMax:16us [11m11s] 23352 ab:aab=1,abbb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23352 ab:aab=1,abbb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23353 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:47,nodes:14,pairs:5,completionMax:18us [11m11s] 23353 ab:aab=1,abbb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23353 ab:aab=1,abbb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23354 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:47,nodes:12,pairs:5,completionMax:16us [11m11s] 23354 ab:aab=1,abbb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23354 ab:aab=1,abbb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23355 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:52,nodes:14,pairs:5,completionMax:18us [11m11s] 23355 ab:aab=1,abbb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23355 ab:aab=1,abbb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23356 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:5,completionMax:12us [11m11s] 23356 ab:aab=1,abbb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23356 ab:aab=1,abbb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23357 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:72,nodes:12,pairs:5,completionMax:20us [11m11s] 23357 ab:aab=1,abbb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23357 ab:aab=1,abbb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23358 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:0,work:208,nodes:18,pairs:9,completionMax:24us [11m11s] 23358 ab:aab=1,baaa=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23358 ab:aab=1,baaa=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23359 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:34,nodes:12,pairs:2,completionMax:7us [11m11s] 23359 ab:aab=1,baaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23359 ab:aab=1,baaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23360 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:33,nodes:12,pairs:2,completionMax:14us [11m11s] 23360 ab:aab=1,baaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23360 ab:aab=1,baaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23361 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:99,nodes:12,pairs:7,completionMax:25us [11m11s] 23361 ab:aab=1,baaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23361 ab:aab=1,baaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23362 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:55,nodes:12,pairs:2,completionMax:11us [11m11s] 23362 ab:aab=1,baaa=abaa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23362 ab:aab=1,baaa=abaa infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23363 solved: rounds:2,rules:2,peak:5,longest:6,steps:4,word:0,work:331,nodes:20,pairs:19,completionMax:31us [11m11s] 23363 ab:aab=1,baaa=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23363 ab:aab=1,baaa=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23364 solved: rounds:2,rules:2,peak:7,longest:5,steps:6,word:0,work:447,nodes:18,pairs:19,completionMax:49us [11m11s] 23364 ab:aab=1,baaa=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23364 ab:aab=1,baaa=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23365 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:3,work:139,nodes:16,pairs:8,completionMax:25us [11m11s] 23365 ab:aab=1,baaa=abbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23365 ab:aab=1,baaa=abbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23366 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:0,work:4,nodes:12,pairs:1,completionMax:7us [11m11s] 23366 ab:aab=1,baab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23366 ab:aab=1,baab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23367 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:1,completionMax:5us [11m11s] 23367 ab:aab=1,baab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23367 ab:aab=1,baab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23368 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:1,completionMax:8us [11m11s] 23368 ab:aab=1,baab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23368 ab:aab=1,baab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23369 solved: rounds:0,rules:1,peak:1,longest:3,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:1us [11m11s] 23369 ab:aab=1,baab=aabb infinite ab - - ab:aab=1 [11m11s] from: 23369 ab:aab=1,baab=aabb infinite to: 758 ab:aab=1,aaab=a infinite a=a,b=b [11m11s] # 23370 solved: rounds:2,rules:2,peak:6,longest:4,steps:2,word:0,work:221,nodes:16,pairs:14,completionMax:32us [11m11s] 23370 ab:aab=1,baab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23370 ab:aab=1,baab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23371 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:41,nodes:14,pairs:1,completionMax:6us [11m11s] 23371 ab:aab=1,baab=abab infinite ab - - ab:aab=1,bab=abb [11m11s] from: 23371 ab:aab=1,baab=abab infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 23372 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:46,nodes:12,pairs:3,completionMax:7us [11m11s] 23372 ab:aab=1,baab=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23372 ab:aab=1,baab=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23373 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:5,completionMax:19us [11m11s] 23373 ab:aab=1,baab=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23373 ab:aab=1,baab=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23374 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:100,nodes:12,pairs:7,completionMax:22us [11m11s] 23374 ab:aab=1,baab=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23374 ab:aab=1,baab=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23375 solved: rounds:4,rules:2,peak:7,longest:7,steps:2,word:3,work:494,nodes:26,pairs:26,completionMax:76us [11m11s] 23375 ab:aab=1,baba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23375 ab:aab=1,baba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23376 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:186,nodes:14,pairs:20,completionMax:44us [11m11s] 23376 ab:aab=1,baba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23376 ab:aab=1,baba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23377 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:185,nodes:14,pairs:20,completionMax:42us [11m11s] 23377 ab:aab=1,baba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23377 ab:aab=1,baba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23378 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:61,nodes:16,pairs:5,completionMax:27us [11m11s] 23378 ab:aab=1,baba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23378 ab:aab=1,baba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23379 solved: rounds:3,rules:2,peak:6,longest:4,steps:1,word:0,work:239,nodes:14,pairs:20,completionMax:43us [11m11s] 23379 ab:aab=1,baba=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23379 ab:aab=1,baba=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23380 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:160,nodes:16,pairs:6,completionMax:22us [11m11s] 23380 ab:aab=1,baba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23380 ab:aab=1,baba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23381 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:86,nodes:12,pairs:2,completionMax:9us [11m11s] 23381 ab:aab=1,baba=abba infinite ab - - ab:aab=1,bab=abb [11m11s] from: 23381 ab:aab=1,baba=abba infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 23382 solved: rounds:2,rules:2,peak:7,longest:4,steps:5,word:0,work:555,nodes:16,pairs:9,completionMax:41us [11m11s] 23382 ab:aab=1,baba=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23382 ab:aab=1,baba=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23383 solved: rounds:4,rules:2,peak:7,longest:6,steps:2,word:0,work:408,nodes:20,pairs:23,completionMax:63us [11m11s] 23383 ab:aab=1,baba=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23383 ab:aab=1,baba=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23384 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:62,nodes:16,pairs:5,completionMax:19us [11m11s] 23384 ab:aab=1,baba=baab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23384 ab:aab=1,baba=baab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23385 solved: rounds:2,rules:2,peak:7,longest:13,steps:3,word:6,work:1325,nodes:40,pairs:10,completionMax:70us [11m11s] 23385 ab:aab=1,babb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23385 ab:aab=1,babb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23386 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:237,nodes:22,pairs:9,completionMax:44us [11m11s] 23386 ab:aab=1,babb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23386 ab:aab=1,babb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23387 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:236,nodes:22,pairs:9,completionMax:44us [11m11s] 23387 ab:aab=1,babb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23387 ab:aab=1,babb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23388 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:14,pairs:4,completionMax:17us [11m11s] 23388 ab:aab=1,babb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23388 ab:aab=1,babb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23389 solved: rounds:2,rules:2,peak:5,longest:7,steps:4,word:3,work:312,nodes:26,pairs:11,completionMax:38us [11m11s] 23389 ab:aab=1,babb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23389 ab:aab=1,babb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23390 solved: rounds:3,rules:2,peak:4,longest:7,steps:3,word:0,work:291,nodes:20,pairs:13,completionMax:33us [11m11s] 23390 ab:aab=1,babb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23390 ab:aab=1,babb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23391 solved: rounds:2,rules:2,peak:5,longest:4,steps:5,word:0,work:301,nodes:18,pairs:13,completionMax:28us [11m11s] 23391 ab:aab=1,babb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23391 ab:aab=1,babb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23392 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:39,nodes:12,pairs:0,completionMax:2us [11m11s] 23392 ab:aab=1,babb=abbb infinite ab - - ab:aab=1,babb=abbb [11m11s] # 23393 solved: rounds:2,rules:2,peak:5,longest:7,steps:3,word:3,work:209,nodes:26,pairs:9,completionMax:28us [11m11s] 23393 ab:aab=1,babb=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23393 ab:aab=1,babb=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23394 solved: rounds:3,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:14,pairs:4,completionMax:12us [11m11s] 23394 ab:aab=1,babb=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23394 ab:aab=1,babb=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23395 solved: rounds:3,rules:2,peak:3,longest:4,steps:2,word:0,work:60,nodes:14,pairs:4,completionMax:23us [11m11s] 23395 ab:aab=1,babb=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23395 ab:aab=1,babb=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23396 solved: rounds:2,rules:2,peak:5,longest:6,steps:2,word:3,work:108,nodes:16,pairs:11,completionMax:32us [11m11s] 23396 ab:aab=1,bbaa=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23396 ab:aab=1,bbaa=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23397 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:155,nodes:16,pairs:19,completionMax:39us [11m11s] 23397 ab:aab=1,bbaa=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23397 ab:aab=1,bbaa=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23398 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:154,nodes:16,pairs:19,completionMax:36us [11m11s] 23398 ab:aab=1,bbaa=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23398 ab:aab=1,bbaa=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23399 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:82,nodes:14,pairs:7,completionMax:13us [11m11s] 23399 ab:aab=1,bbaa=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23399 ab:aab=1,bbaa=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23400 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:0,work:164,nodes:14,pairs:12,completionMax:27us [11m11s] 23400 ab:aab=1,bbaa=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23400 ab:aab=1,bbaa=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23401 solved: rounds:2,rules:2,peak:5,longest:6,steps:6,word:0,work:390,nodes:22,pairs:14,completionMax:31us [11m11s] 23401 ab:aab=1,bbaa=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23401 ab:aab=1,bbaa=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23402 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:117,nodes:14,pairs:8,completionMax:14us [11m11s] 23402 ab:aab=1,bbaa=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23402 ab:aab=1,bbaa=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23403 solved: rounds:2,rules:2,peak:8,longest:6,steps:7,word:0,work:720,nodes:22,pairs:19,completionMax:48us [11m11s] 23403 ab:aab=1,bbaa=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23403 ab:aab=1,bbaa=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23404 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:109,nodes:14,pairs:8,completionMax:31us [11m11s] 23404 ab:aab=1,bbaa=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23404 ab:aab=1,bbaa=baaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23405 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:83,nodes:14,pairs:7,completionMax:21us [11m11s] 23405 ab:aab=1,bbaa=baab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23405 ab:aab=1,bbaa=baab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23406 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:191,nodes:18,pairs:7,completionMax:32us [11m11s] 23406 ab:aab=1,bbaa=baba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23406 ab:aab=1,bbaa=baba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23407 solved: rounds:3,rules:2,peak:9,longest:6,steps:4,word:0,work:780,nodes:20,pairs:24,completionMax:73us [11m11s] 23407 ab:aab=1,bbaa=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23407 ab:aab=1,bbaa=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23408 solved: rounds:3,rules:2,peak:7,longest:12,steps:3,word:12,work:686,nodes:38,pairs:24,completionMax:90us [11m11s] 23408 ab:aab=1,bbab=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23408 ab:aab=1,bbab=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23409 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:217,nodes:20,pairs:23,completionMax:40us [11m11s] 23409 ab:aab=1,bbab=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23409 ab:aab=1,bbab=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23410 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:216,nodes:20,pairs:23,completionMax:40us [11m11s] 23410 ab:aab=1,bbab=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23410 ab:aab=1,bbab=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23411 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:83,nodes:14,pairs:9,completionMax:17us [11m11s] 23411 ab:aab=1,bbab=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23411 ab:aab=1,bbab=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23412 solved: rounds:3,rules:2,peak:7,longest:6,steps:2,word:3,work:283,nodes:20,pairs:23,completionMax:39us [11m11s] 23412 ab:aab=1,bbab=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23412 ab:aab=1,bbab=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23413 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:71,nodes:14,pairs:6,completionMax:21us [11m11s] 23413 ab:aab=1,bbab=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23413 ab:aab=1,bbab=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23414 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:343,nodes:16,pairs:20,completionMax:50us [11m11s] 23414 ab:aab=1,bbab=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23414 ab:aab=1,bbab=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23415 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:85,nodes:14,pairs:1,completionMax:9us [11m11s] 23415 ab:aab=1,bbab=abbb infinite ab - - ab:aab=1,bab=abb [11m11s] from: 23415 ab:aab=1,bbab=abbb infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 23416 solved: rounds:3,rules:2,peak:7,longest:7,steps:2,word:3,work:326,nodes:24,pairs:26,completionMax:65us [11m11s] 23416 ab:aab=1,bbab=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23416 ab:aab=1,bbab=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23417 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:0,work:84,nodes:14,pairs:9,completionMax:18us [11m11s] 23417 ab:aab=1,bbab=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23417 ab:aab=1,bbab=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23418 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:234,nodes:18,pairs:14,completionMax:32us [11m11s] 23418 ab:aab=1,bbab=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23418 ab:aab=1,bbab=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23419 solved: rounds:1,rules:2,peak:3,longest:4,steps:3,word:0,work:94,nodes:14,pairs:1,completionMax:7us [11m11s] 23419 ab:aab=1,bbab=babb infinite ab - - ab:aab=1,bab=abb [11m11s] from: 23419 ab:aab=1,bbab=babb infinite to: 767 ab:aab=1,abab=b infinite a=a,b=b [11m11s] # 23420 solved: rounds:4,rules:2,peak:4,longest:5,steps:2,word:0,work:140,nodes:14,pairs:10,completionMax:22us [11m11s] 23420 ab:aab=1,bbab=bbaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23420 ab:aab=1,bbab=bbaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23421 solved: rounds:3,rules:2,peak:8,longest:11,steps:2,word:6,work:673,nodes:26,pairs:18,completionMax:76us [11m11s] 23421 ab:aab=1,bbba=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23421 ab:aab=1,bbba=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23422 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:217,nodes:18,pairs:15,completionMax:46us [11m11s] 23422 ab:aab=1,bbba=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23422 ab:aab=1,bbba=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23423 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:3,work:216,nodes:18,pairs:15,completionMax:62us [11m11s] 23423 ab:aab=1,bbba=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23423 ab:aab=1,bbba=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23424 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:246,nodes:12,pairs:27,completionMax:34us [11m11s] 23424 ab:aab=1,bbba=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23424 ab:aab=1,bbba=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23425 solved: rounds:3,rules:2,peak:7,longest:9,steps:2,word:3,work:569,nodes:22,pairs:22,completionMax:81us [11m11s] 23425 ab:aab=1,bbba=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23425 ab:aab=1,bbba=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23426 solved: rounds:3,rules:2,peak:6,longest:6,steps:6,word:0,work:343,nodes:20,pairs:24,completionMax:36us [11m11s] 23426 ab:aab=1,bbba=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23426 ab:aab=1,bbba=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23427 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:286,nodes:12,pairs:18,completionMax:36us [11m11s] 23427 ab:aab=1,bbba=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23427 ab:aab=1,bbba=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23428 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:43,nodes:12,pairs:3,completionMax:7us [11m11s] 23428 ab:aab=1,bbba=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23428 ab:aab=1,bbba=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23429 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:3,work:440,nodes:22,pairs:15,completionMax:64us [11m11s] 23429 ab:aab=1,bbba=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23429 ab:aab=1,bbba=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23430 solved: rounds:3,rules:2,peak:7,longest:4,steps:3,word:0,work:247,nodes:12,pairs:27,completionMax:34us [11m11s] 23430 ab:aab=1,bbba=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23430 ab:aab=1,bbba=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23431 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:230,nodes:12,pairs:17,completionMax:35us [11m11s] 23431 ab:aab=1,bbba=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23431 ab:aab=1,bbba=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23432 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:39,nodes:12,pairs:3,completionMax:8us [11m11s] 23432 ab:aab=1,bbba=babb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23432 ab:aab=1,bbba=babb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23433 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:305,nodes:12,pairs:21,completionMax:40us [11m11s] 23433 ab:aab=1,bbba=bbaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23433 ab:aab=1,bbba=bbaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23434 solved: rounds:2,rules:2,peak:4,longest:6,steps:6,word:0,work:258,nodes:20,pairs:6,completionMax:29us [11m11s] 23434 ab:aab=1,bbba=bbab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23434 ab:aab=1,bbba=bbab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23435 solved: rounds:3,rules:2,peak:5,longest:12,steps:3,word:9,work:289,nodes:24,pairs:13,completionMax:44us [11m11s] 23435 ab:aab=1,bbbb=aaaa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 23435 ab:aab=1,bbbb=aaaa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 23436 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:267,nodes:18,pairs:15,completionMax:44us [11m11s] 23436 ab:aab=1,bbbb=aaab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23436 ab:aab=1,bbbb=aaab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23437 solved: rounds:4,rules:2,peak:4,longest:9,steps:6,word:6,work:266,nodes:18,pairs:15,completionMax:36us [11m11s] 23437 ab:aab=1,bbbb=aaba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23437 ab:aab=1,bbbb=aaba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23438 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:69,nodes:14,pairs:6,completionMax:23us [11m11s] 23438 ab:aab=1,bbbb=aabb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23438 ab:aab=1,bbbb=aabb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23439 solved: rounds:3,rules:2,peak:9,longest:9,steps:6,word:6,work:882,nodes:22,pairs:45,completionMax:131us [11m11s] 23439 ab:aab=1,bbbb=abaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23439 ab:aab=1,bbbb=abaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23440 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:3,work:626,nodes:24,pairs:45,completionMax:84us [11m11s] 23440 ab:aab=1,bbbb=abab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23440 ab:aab=1,bbbb=abab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23441 solved: rounds:3,rules:2,peak:9,longest:6,steps:5,word:3,work:1099,nodes:26,pairs:49,completionMax:104us [11m11s] 23441 ab:aab=1,bbbb=abba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23441 ab:aab=1,bbbb=abba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23442 solved: rounds:4,rules:2,peak:3,longest:4,steps:5,word:0,work:291,nodes:12,pairs:15,completionMax:26us [11m11s] 23442 ab:aab=1,bbbb=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23442 ab:aab=1,bbbb=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23443 solved: rounds:2,rules:2,peak:10,longest:9,steps:4,word:6,work:1073,nodes:36,pairs:23,completionMax:113us [11m11s] 23443 ab:aab=1,bbbb=baaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23443 ab:aab=1,bbbb=baaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23444 solved: rounds:3,rules:2,peak:4,longest:6,steps:2,word:3,work:70,nodes:14,pairs:6,completionMax:24us [11m11s] 23444 ab:aab=1,bbbb=baab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23444 ab:aab=1,bbbb=baab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23445 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:3,work:900,nodes:22,pairs:31,completionMax:91us [11m11s] 23445 ab:aab=1,bbbb=baba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23445 ab:aab=1,bbbb=baba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23446 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:0,work:756,nodes:24,pairs:19,completionMax:76us [11m11s] 23446 ab:aab=1,bbbb=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23446 ab:aab=1,bbbb=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23447 solved: rounds:3,rules:2,peak:5,longest:8,steps:3,word:3,work:659,nodes:18,pairs:24,completionMax:68us [11m11s] 23447 ab:aab=1,bbbb=bbaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23447 ab:aab=1,bbbb=bbaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23448 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:922,nodes:22,pairs:25,completionMax:74us [11m11s] 23448 ab:aab=1,bbbb=bbab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23448 ab:aab=1,bbbb=bbab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23449 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:818,nodes:18,pairs:10,completionMax:53us [11m11s] 23449 ab:aab=1,bbbb=bbba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23449 ab:aab=1,bbbb=bbba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23450 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:0,work:201,nodes:14,pairs:11,completionMax:26us [11m11s] 23450 ab:aba=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23450 ab:aba=1,aaab=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23451 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:8,completionMax:17us [11m11s] 23451 ab:aba=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23451 ab:aba=1,aaba=aaaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23452 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:34,nodes:12,pairs:2,completionMax:11us [11m11s] 23452 ab:aba=1,aaba=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23452 ab:aba=1,aaba=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23453 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:6,work:204,nodes:16,pairs:5,completionMax:25us [11m11s] 23453 ab:aba=1,aabb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23453 ab:aba=1,aabb=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23454 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:107,nodes:12,pairs:9,completionMax:24us [11m11s] 23454 ab:aba=1,aabb=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23454 ab:aba=1,aabb=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23455 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:65,nodes:12,pairs:8,completionMax:21us [11m11s] 23455 ab:aba=1,aabb=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23455 ab:aba=1,aabb=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23456 solved: rounds:1,rules:2,peak:4,longest:4,steps:2,word:0,work:33,nodes:12,pairs:2,completionMax:12us [11m11s] 23456 ab:aba=1,abaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23456 ab:aba=1,abaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23457 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:4us [11m11s] 23457 ab:aba=1,abaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23457 ab:aba=1,abaa=aaba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23458 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:64,nodes:12,pairs:8,completionMax:19us [11m11s] 23458 ab:aba=1,abaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23458 ab:aba=1,abaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23459 solved: rounds:1,rules:2,peak:2,longest:6,steps:1,word:3,work:6,nodes:12,pairs:1,completionMax:4us [11m11s] 23459 ab:aba=1,abab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23459 ab:aba=1,abab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23460 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:0,work:98,nodes:12,pairs:10,completionMax:26us [11m11s] 23460 ab:aba=1,abab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23460 ab:aba=1,abab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23461 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m11s] 23461 ab:aba=1,abab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23461 ab:aba=1,abab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23462 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:12,pairs:2,completionMax:8us [11m11s] 23462 ab:aba=1,abab=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23462 ab:aba=1,abab=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23463 solved: rounds:1,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:1,completionMax:6us [11m11s] 23463 ab:aba=1,abab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23463 ab:aba=1,abab=abaa finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23464 solved: rounds:2,rules:2,peak:4,longest:6,steps:7,word:6,work:269,nodes:16,pairs:6,completionMax:29us [11m11s] 23464 ab:aba=1,abba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23464 ab:aba=1,abba=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23465 solved: rounds:2,rules:2,peak:6,longest:6,steps:4,word:0,work:335,nodes:18,pairs:19,completionMax:46us [11m11s] 23465 ab:aba=1,abba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23465 ab:aba=1,abba=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23466 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:0,work:85,nodes:10,pairs:8,completionMax:19us [11m11s] 23466 ab:aba=1,abba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23466 ab:aba=1,abba=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23467 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:175,nodes:18,pairs:9,completionMax:24us [11m11s] 23467 ab:aba=1,abba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23467 ab:aba=1,abba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23468 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:54,nodes:10,pairs:5,completionMax:10us [11m11s] 23468 ab:aba=1,abba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23468 ab:aba=1,abba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23469 solved: rounds:5,rules:2,peak:4,longest:9,steps:8,word:6,work:306,nodes:18,pairs:9,completionMax:41us [11m11s] 23469 ab:aba=1,abbb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23469 ab:aba=1,abbb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23470 solved: rounds:5,rules:2,peak:4,longest:6,steps:7,word:3,work:272,nodes:12,pairs:9,completionMax:35us [11m11s] 23470 ab:aba=1,abbb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23470 ab:aba=1,abbb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23471 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:132,nodes:12,pairs:9,completionMax:26us [11m11s] 23471 ab:aba=1,abbb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23471 ab:aba=1,abbb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23472 solved: rounds:4,rules:2,peak:4,longest:4,steps:4,word:0,work:263,nodes:12,pairs:11,completionMax:28us [11m11s] 23472 ab:aba=1,abbb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23472 ab:aba=1,abbb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23473 solved: rounds:5,rules:2,peak:4,longest:6,steps:3,word:3,work:131,nodes:12,pairs:9,completionMax:29us [11m11s] 23473 ab:aba=1,abbb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23473 ab:aba=1,abbb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23474 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:186,nodes:12,pairs:8,completionMax:22us [11m11s] 23474 ab:aba=1,abbb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23474 ab:aba=1,abbb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23475 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:199,nodes:12,pairs:8,completionMax:34us [11m11s] 23475 ab:aba=1,abbb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23475 ab:aba=1,abbb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23476 solved: rounds:1,rules:2,peak:5,longest:5,steps:2,word:0,work:110,nodes:18,pairs:3,completionMax:19us [11m11s] 23476 ab:aba=1,baaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23476 ab:aba=1,baaa=aaab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23477 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:159,nodes:18,pairs:10,completionMax:29us [11m11s] 23477 ab:aba=1,baaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23477 ab:aba=1,baaa=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23478 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:67,nodes:12,pairs:10,completionMax:19us [11m11s] 23478 ab:aba=1,baaa=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23478 ab:aba=1,baaa=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23479 solved: rounds:3,rules:2,peak:6,longest:21,steps:14,word:6,work:2216,nodes:48,pairs:12,completionMax:100us [11m11s] 23479 ab:aba=1,baaa=abbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23479 ab:aba=1,baaa=abbb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23480 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:105,nodes:14,pairs:12,completionMax:28us [11m11s] 23480 ab:aba=1,baab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23480 ab:aba=1,baab=aaaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23481 solved: rounds:2,rules:2,peak:5,longest:5,steps:4,word:0,work:185,nodes:18,pairs:8,completionMax:31us [11m11s] 23481 ab:aba=1,baab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23481 ab:aba=1,baab=aaab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23482 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:78,nodes:12,pairs:12,completionMax:18us [11m11s] 23482 ab:aba=1,baab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23482 ab:aba=1,baab=aaba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23483 solved: rounds:2,rules:2,peak:5,longest:5,steps:3,word:0,work:123,nodes:20,pairs:6,completionMax:16us [11m11s] 23483 ab:aba=1,baab=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23483 ab:aba=1,baab=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23484 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:12,pairs:2,completionMax:6us [11m11s] 23484 ab:aba=1,baab=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23484 ab:aba=1,baab=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23485 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:93,nodes:12,pairs:5,completionMax:10us [11m11s] 23485 ab:aba=1,baab=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23485 ab:aba=1,baab=abba infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23486 solved: rounds:2,rules:2,peak:6,longest:5,steps:4,word:0,work:303,nodes:20,pairs:9,completionMax:41us [11m11s] 23486 ab:aba=1,baab=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23486 ab:aba=1,baab=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23487 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:12,pairs:2,completionMax:12us [11m11s] 23487 ab:aba=1,baba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23487 ab:aba=1,baba=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23488 solved: rounds:2,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:6us [11m11s] 23488 ab:aba=1,baba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23488 ab:aba=1,baba=abab infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23489 solved: rounds:4,rules:2,peak:4,longest:4,steps:3,word:0,work:187,nodes:12,pairs:8,completionMax:25us [11m11s] 23489 ab:aba=1,baba=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23489 ab:aba=1,baba=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23490 solved: rounds:2,rules:2,peak:6,longest:11,steps:13,word:9,work:1056,nodes:28,pairs:13,completionMax:70us [11m11s] 23490 ab:aba=1,babb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23490 ab:aba=1,babb=aaaa finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23491 solved: rounds:3,rules:2,peak:5,longest:13,steps:16,word:6,work:828,nodes:30,pairs:13,completionMax:46us [11m11s] 23491 ab:aba=1,babb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23491 ab:aba=1,babb=aaab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23492 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:242,nodes:12,pairs:17,completionMax:32us [11m11s] 23492 ab:aba=1,babb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23492 ab:aba=1,babb=aaba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23493 solved: rounds:4,rules:2,peak:4,longest:5,steps:3,word:0,work:204,nodes:18,pairs:12,completionMax:29us [11m11s] 23493 ab:aba=1,babb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23493 ab:aba=1,babb=aabb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23494 solved: rounds:2,rules:2,peak:5,longest:6,steps:5,word:6,work:241,nodes:12,pairs:17,completionMax:29us [11m11s] 23494 ab:aba=1,babb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23494 ab:aba=1,babb=abaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23495 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:101,nodes:12,pairs:6,completionMax:15us [11m11s] 23495 ab:aba=1,babb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23495 ab:aba=1,babb=abab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23496 solved: rounds:2,rules:2,peak:5,longest:4,steps:3,word:0,work:188,nodes:16,pairs:11,completionMax:33us [11m11s] 23496 ab:aba=1,babb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23496 ab:aba=1,babb=abba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23497 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:97,nodes:18,pairs:3,completionMax:14us [11m11s] 23497 ab:aba=1,babb=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23497 ab:aba=1,babb=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23498 solved: rounds:2,rules:2,peak:4,longest:6,steps:11,word:3,work:264,nodes:14,pairs:5,completionMax:30us [11m11s] 23498 ab:aba=1,babb=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23498 ab:aba=1,babb=baaa finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23499 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:121,nodes:12,pairs:6,completionMax:18us [11m11s] 23499 ab:aba=1,babb=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23499 ab:aba=1,babb=baab finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23500 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:0,work:102,nodes:12,pairs:6,completionMax:26us [11m11s] 23500 ab:aba=1,babb=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23500 ab:aba=1,babb=baba finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23501 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:0,work:47,nodes:12,pairs:4,completionMax:10us [11m11s] 23501 ab:aba=1,bbaa=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23501 ab:aba=1,bbaa=aabb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23502 solved: rounds:4,rules:2,peak:4,longest:4,steps:4,word:0,work:252,nodes:12,pairs:9,completionMax:28us [11m11s] 23502 ab:aba=1,bbaa=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23502 ab:aba=1,bbaa=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23503 solved: rounds:4,rules:2,peak:4,longest:4,steps:5,word:0,work:262,nodes:12,pairs:9,completionMax:29us [11m11s] 23503 ab:aba=1,bbaa=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23503 ab:aba=1,bbaa=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23504 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:135,nodes:18,pairs:4,completionMax:13us [11m11s] 23504 ab:aba=1,bbab=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23504 ab:aba=1,bbab=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23505 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:89,nodes:12,pairs:4,completionMax:13us [11m11s] 23505 ab:aba=1,bbab=babb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23505 ab:aba=1,bbab=babb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23506 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:35,nodes:12,pairs:2,completionMax:11us [11m11s] 23506 ab:aba=1,bbba=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa ab - - ab:ba=ab,aab=1 [11m11s] from: 23506 ab:aba=1,bbba=abbb infinite;commutative:ab:a2b=1;saturation:ab:ab2=1;cancellative;smith:0;group:a-ab,b-aa to: 3 ab:ab=1,ba=1 infinite;commutative:ab:ab=1;saturation:ab:ab=1;cancellative;smith:0;group:a-b,b-a a=b,b=aa [11m11s] # 23507 solved: rounds:6,rules:2,peak:4,longest:12,steps:12,word:9,work:641,nodes:24,pairs:12,completionMax:53us [11m11s] 23507 ab:aba=1,bbbb=aaaa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa a/b - - ab:aaaaaaaaaaaa=1,b=aaaaaaaaaa [11m11s] from: 23507 ab:aba=1,bbbb=aaaa finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a10;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bbbbbbbbbb [11m11s] # 23508 solved: rounds:6,rules:2,peak:4,longest:9,steps:9,word:6,work:524,nodes:18,pairs:12,completionMax:53us [11m11s] 23508 ab:aba=1,bbbb=aaab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23508 ab:aba=1,bbbb=aaab finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23509 solved: rounds:6,rules:2,peak:4,longest:9,steps:6,word:6,work:312,nodes:18,pairs:12,completionMax:31us [11m11s] 23509 ab:aba=1,bbbb=aaba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa a/b - - ab:aaaaaaaaa=1,b=aaaaaaa [11m11s] from: 23509 ab:aba=1,bbbb=aaba finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b4;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaa,b=a [11m11s] # 23510 solved: rounds:6,rules:2,peak:4,longest:6,steps:12,word:3,work:489,nodes:12,pairs:12,completionMax:46us [11m11s] 23510 ab:aba=1,bbbb=aabb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23510 ab:aba=1,bbbb=aabb finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23511 solved: rounds:6,rules:2,peak:4,longest:6,steps:4,word:3,work:145,nodes:12,pairs:9,completionMax:27us [11m11s] 23511 ab:aba=1,bbbb=abab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23511 ab:aba=1,bbbb=abab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23512 solved: rounds:6,rules:2,peak:4,longest:6,steps:13,word:3,work:409,nodes:12,pairs:12,completionMax:33us [11m11s] 23512 ab:aba=1,bbbb=abba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23512 ab:aba=1,bbbb=abba finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23513 solved: rounds:6,rules:2,peak:4,longest:4,steps:6,word:0,work:420,nodes:12,pairs:10,completionMax:29us [11m11s] 23513 ab:aba=1,bbbb=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23513 ab:aba=1,bbbb=abbb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23514 solved: rounds:6,rules:2,peak:4,longest:6,steps:9,word:3,work:293,nodes:12,pairs:11,completionMax:30us [11m11s] 23514 ab:aba=1,bbbb=baab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa a/b - - ab:aaaaaa=1,b=aaaa [11m11s] from: 23514 ab:aba=1,bbbb=baab finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=1,b=a4;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-aa to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=bbbb [11m11s] # 23515 solved: rounds:6,rules:2,peak:4,longest:4,steps:6,word:0,work:436,nodes:12,pairs:10,completionMax:30us [11m11s] 23515 ab:aba=1,bbbb=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa ab - - ab:b=a,aaa=1 [11m11s] from: 23515 ab:aba=1,bbbb=babb finite:3;center:1,a,aa;commutative:ab:a=b,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-aa to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=b [11m11s] # 23516 solved: rounds:0,rules:1,peak:2,longest:2,steps:7,word:0,work:22,nodes:4,pairs:0,completionMax:3us [11m11s] 23516 ab:aa=a,aaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m11s] from: 23516 ab:aa=a,aaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m11s] # 23517 solved: rounds:2,rules:2,peak:3,longest:2,steps:6,word:0,work:21,nodes:4,pairs:2,completionMax:4us [11m11s] 23517 ab:aa=a,aaaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23517 ab:aa=a,aaaaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23518 solved: rounds:2,rules:2,peak:3,longest:3,steps:5,word:0,work:31,nodes:6,pairs:5,completionMax:6us [11m11s] 23518 ab:aa=a,aaaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23518 ab:aa=a,aaaaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23519 solved: rounds:2,rules:2,peak:3,longest:3,steps:5,word:0,work:20,nodes:6,pairs:2,completionMax:4us [11m11s] 23519 ab:aa=a,aaaaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23519 ab:aa=a,aaaaaabb=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23520 solved: rounds:2,rules:2,peak:3,longest:3,steps:5,word:0,work:33,nodes:6,pairs:5,completionMax:9us [11m11s] 23520 ab:aa=a,aaaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23520 ab:aa=a,aaaaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23521 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:24,nodes:8,pairs:3,completionMax:7us [11m11s] 23521 ab:aa=a,aaaaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23521 ab:aa=a,aaaaabab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23522 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:34,nodes:8,pairs:5,completionMax:12us [11m11s] 23522 ab:aa=a,aaaaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23522 ab:aa=a,aaaaabba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23523 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:19,nodes:8,pairs:2,completionMax:6us [11m11s] 23523 ab:aa=a,aaaaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23523 ab:aa=a,aaaaabbb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23524 solved: rounds:2,rules:2,peak:3,longest:3,steps:5,word:0,work:35,nodes:6,pairs:5,completionMax:8us [11m11s] 23524 ab:aa=a,aaaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m11s] from: 23524 ab:aa=a,aaaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m11s] # 23525 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:26,nodes:8,pairs:3,completionMax:9us [11m11s] 23525 ab:aa=a,aaaabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23525 ab:aa=a,aaaabaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23526 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:51,nodes:10,pairs:7,completionMax:11us [11m11s] 23526 ab:aa=a,aaaababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23526 ab:aa=a,aaaababa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23527 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:24,nodes:10,pairs:3,completionMax:9us [11m11s] 23527 ab:aa=a,aaaababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23527 ab:aa=a,aaaababb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23528 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:37,nodes:8,pairs:5,completionMax:12us [11m11s] 23528 ab:aa=a,aaaabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23528 ab:aa=a,aaaabbaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23529 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:28,nodes:10,pairs:4,completionMax:11us [11m11s] 23529 ab:aa=a,aaaabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23529 ab:aa=a,aaaabbab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23530 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:37,nodes:10,pairs:5,completionMax:11us [11m11s] 23530 ab:aa=a,aaaabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23530 ab:aa=a,aaaabbba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23531 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:18,nodes:10,pairs:2,completionMax:6us [11m11s] 23531 ab:aa=a,aaaabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23531 ab:aa=a,aaaabbbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23532 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:28,nodes:8,pairs:3,completionMax:11us [11m11s] 23532 ab:aa=a,aaabaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23532 ab:aa=a,aaabaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23533 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:53,nodes:10,pairs:7,completionMax:14us [11m11s] 23533 ab:aa=a,aaabaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23533 ab:aa=a,aaabaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23534 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:26,nodes:10,pairs:3,completionMax:7us [11m11s] 23534 ab:aa=a,aaabaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23534 ab:aa=a,aaabaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23535 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:55,nodes:10,pairs:7,completionMax:8us [11m11s] 23535 ab:aa=a,aaababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23535 ab:aa=a,aaababaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23536 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:35,nodes:12,pairs:4,completionMax:15us [11m11s] 23536 ab:aa=a,aaababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23536 ab:aa=a,aaababab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23537 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:53,nodes:12,pairs:6,completionMax:10us [11m11s] 23537 ab:aa=a,aaababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23537 ab:aa=a,aaababba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23538 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:24,nodes:12,pairs:3,completionMax:6us [11m11s] 23538 ab:aa=a,aaababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23538 ab:aa=a,aaababbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23539 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:40,nodes:8,pairs:5,completionMax:8us [11m11s] 23539 ab:aa=a,aaabbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23539 ab:aa=a,aaabbaaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23540 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:31,nodes:10,pairs:4,completionMax:11us [11m11s] 23540 ab:aa=a,aaabbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23540 ab:aa=a,aaabbaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23541 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:57,nodes:12,pairs:6,completionMax:20us [11m11s] 23541 ab:aa=a,aaabbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23541 ab:aa=a,aaabbaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23542 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:25,nodes:12,pairs:3,completionMax:13us [11m11s] 23542 ab:aa=a,aaabbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23542 ab:aa=a,aaabbabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23543 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:41,nodes:10,pairs:5,completionMax:9us [11m11s] 23543 ab:aa=a,aaabbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23543 ab:aa=a,aaabbbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23544 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:30,nodes:12,pairs:4,completionMax:9us [11m11s] 23544 ab:aa=a,aaabbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23544 ab:aa=a,aaabbbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23545 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:40,nodes:12,pairs:5,completionMax:10us [11m11s] 23545 ab:aa=a,aaabbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23545 ab:aa=a,aaabbbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23546 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:17,nodes:12,pairs:2,completionMax:12us [11m11s] 23546 ab:aa=a,aaabbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23546 ab:aa=a,aaabbbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23547 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:30,nodes:8,pairs:3,completionMax:10us [11m11s] 23547 ab:aa=a,aabaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23547 ab:aa=a,aabaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23548 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:55,nodes:10,pairs:7,completionMax:13us [11m11s] 23548 ab:aa=a,aabaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23548 ab:aa=a,aabaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23549 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:28,nodes:10,pairs:3,completionMax:9us [11m11s] 23549 ab:aa=a,aabaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23549 ab:aa=a,aabaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23550 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:57,nodes:10,pairs:7,completionMax:11us [11m11s] 23550 ab:aa=a,aabaabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23550 ab:aa=a,aabaabaa=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23551 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:37,nodes:12,pairs:4,completionMax:11us [11m11s] 23551 ab:aa=a,aabaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23551 ab:aa=a,aabaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23552 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:55,nodes:12,pairs:6,completionMax:15us [11m11s] 23552 ab:aa=a,aabaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23552 ab:aa=a,aabaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23553 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:26,nodes:12,pairs:3,completionMax:9us [11m11s] 23553 ab:aa=a,aabaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23553 ab:aa=a,aabaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23554 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:39,nodes:12,pairs:4,completionMax:9us [11m11s] 23554 ab:aa=a,aababaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23554 ab:aa=a,aababaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23555 solved: rounds:2,rules:2,peak:3,longest:7,steps:3,word:0,work:89,nodes:14,pairs:9,completionMax:13us [11m11s] 23555 ab:aa=a,aabababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23555 ab:aa=a,aabababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23556 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:36,nodes:14,pairs:4,completionMax:16us [11m11s] 23556 ab:aa=a,aabababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23556 ab:aa=a,aabababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23557 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:58,nodes:12,pairs:6,completionMax:9us [11m11s] 23557 ab:aa=a,aababbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23557 ab:aa=a,aababbaa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23558 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:45,nodes:14,pairs:5,completionMax:10us [11m11s] 23558 ab:aa=a,aababbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23558 ab:aa=a,aababbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23559 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:58,nodes:14,pairs:6,completionMax:14us [11m11s] 23559 ab:aa=a,aababbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23559 ab:aa=a,aababbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23560 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:24,nodes:14,pairs:3,completionMax:13us [11m11s] 23560 ab:aa=a,aababbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23560 ab:aa=a,aababbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23561 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:34,nodes:10,pairs:4,completionMax:9us [11m11s] 23561 ab:aa=a,aabbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23561 ab:aa=a,aabbaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23562 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:60,nodes:12,pairs:6,completionMax:17us [11m11s] 23562 ab:aa=a,aabbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23562 ab:aa=a,aabbaaba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23563 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:28,nodes:12,pairs:3,completionMax:6us [11m11s] 23563 ab:aa=a,aabbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23563 ab:aa=a,aabbaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23564 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:49,nodes:14,pairs:5,completionMax:9us [11m11s] 23564 ab:aa=a,aabbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23564 ab:aa=a,aabbabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23565 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:66,nodes:14,pairs:7,completionMax:12us [11m11s] 23565 ab:aa=a,aabbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23565 ab:aa=a,aabbabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23566 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:25,nodes:14,pairs:3,completionMax:13us [11m11s] 23566 ab:aa=a,aabbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23566 ab:aa=a,aabbabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23567 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:34,nodes:12,pairs:4,completionMax:8us [11m11s] 23567 ab:aa=a,aabbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23567 ab:aa=a,aabbbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23568 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:66,nodes:14,pairs:6,completionMax:9us [11m11s] 23568 ab:aa=a,aabbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23568 ab:aa=a,aabbbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23569 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:29,nodes:14,pairs:4,completionMax:7us [11m11s] 23569 ab:aa=a,aabbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23569 ab:aa=a,aabbbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23570 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:45,nodes:12,pairs:5,completionMax:13us [11m11s] 23570 ab:aa=a,aabbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23570 ab:aa=a,aabbbbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23571 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:32,nodes:14,pairs:4,completionMax:11us [11m11s] 23571 ab:aa=a,aabbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23571 ab:aa=a,aabbbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23572 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:43,nodes:14,pairs:5,completionMax:11us [11m11s] 23572 ab:aa=a,aabbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23572 ab:aa=a,aabbbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23573 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:16,nodes:14,pairs:2,completionMax:6us [11m11s] 23573 ab:aa=a,aabbbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m11s] from: 23573 ab:aa=a,aabbbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m11s] # 23574 solved: rounds:2,rules:2,peak:3,longest:4,steps:4,word:0,work:32,nodes:8,pairs:3,completionMax:5us [11m11s] 23574 ab:aa=a,abaaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23574 ab:aa=a,abaaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23575 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:57,nodes:10,pairs:7,completionMax:10us [11m11s] 23575 ab:aa=a,abaaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m11s] from: 23575 ab:aa=a,abaaaaba=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m11s] # 23576 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:30,nodes:10,pairs:3,completionMax:14us [11m11s] 23576 ab:aa=a,abaaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23576 ab:aa=a,abaaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23577 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:39,nodes:12,pairs:4,completionMax:11us [11m11s] 23577 ab:aa=a,abaaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23577 ab:aa=a,abaaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23578 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:57,nodes:12,pairs:6,completionMax:11us [11m11s] 23578 ab:aa=a,abaaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23578 ab:aa=a,abaaabba=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23579 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:28,nodes:12,pairs:3,completionMax:15us [11m11s] 23579 ab:aa=a,abaaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23579 ab:aa=a,abaaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23580 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:41,nodes:12,pairs:4,completionMax:13us [11m11s] 23580 ab:aa=a,abaabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23580 ab:aa=a,abaabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23581 solved: rounds:2,rules:2,peak:3,longest:7,steps:3,word:0,work:91,nodes:14,pairs:9,completionMax:19us [11m11s] 23581 ab:aa=a,abaababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23581 ab:aa=a,abaababa=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23582 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:38,nodes:14,pairs:4,completionMax:13us [11m11s] 23582 ab:aa=a,abaababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23582 ab:aa=a,abaababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23583 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:47,nodes:14,pairs:5,completionMax:14us [11m11s] 23583 ab:aa=a,abaabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23583 ab:aa=a,abaabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23584 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:60,nodes:14,pairs:6,completionMax:11us [11m11s] 23584 ab:aa=a,abaabbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23584 ab:aa=a,abaabbba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23585 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:26,nodes:14,pairs:3,completionMax:10us [11m11s] 23585 ab:aa=a,abaabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23585 ab:aa=a,abaabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23586 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:43,nodes:12,pairs:4,completionMax:10us [11m11s] 23586 ab:aa=a,ababaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m11s] from: 23586 ab:aa=a,ababaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m11s] # 23587 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:40,nodes:14,pairs:4,completionMax:10us [11m11s] 23587 ab:aa=a,ababaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23587 ab:aa=a,ababaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23588 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:0,work:57,nodes:16,pairs:5,completionMax:8us [11m11s] 23588 ab:aa=a,abababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23588 ab:aa=a,abababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23589 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:0,work:85,nodes:16,pairs:7,completionMax:11us [11m11s] 23589 ab:aa=a,abababba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23589 ab:aa=a,abababba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m11s] # 23590 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:37,nodes:16,pairs:4,completionMax:12us [11m11s] 23590 ab:aa=a,abababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m11s] from: 23590 ab:aa=a,abababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m11s] # 23591 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:50,nodes:14,pairs:5,completionMax:12us [11m11s] 23591 ab:aa=a,ababbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m11s] from: 23591 ab:aa=a,ababbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23592 solved: rounds:2,rules:2,peak:3,longest:8,steps:3,word:0,work:100,nodes:16,pairs:8,completionMax:15us [11m12s] 23592 ab:aa=a,ababbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23592 ab:aa=a,ababbaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23593 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:39,nodes:16,pairs:4,completionMax:9us [11m12s] 23593 ab:aa=a,ababbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23593 ab:aa=a,ababbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23594 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:49,nodes:16,pairs:5,completionMax:9us [11m12s] 23594 ab:aa=a,ababbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23594 ab:aa=a,ababbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23595 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:63,nodes:16,pairs:6,completionMax:11us [11m12s] 23595 ab:aa=a,ababbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23595 ab:aa=a,ababbbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23596 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:24,nodes:16,pairs:3,completionMax:15us [11m12s] 23596 ab:aa=a,ababbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23596 ab:aa=a,ababbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23597 solved: rounds:2,rules:2,peak:3,longest:5,steps:3,word:0,work:37,nodes:10,pairs:4,completionMax:11us [11m12s] 23597 ab:aa=a,abbaaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m12s] from: 23597 ab:aa=a,abbaaaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m12s] # 23598 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:31,nodes:12,pairs:3,completionMax:9us [11m12s] 23598 ab:aa=a,abbaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23598 ab:aa=a,abbaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23599 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:52,nodes:14,pairs:5,completionMax:12us [11m12s] 23599 ab:aa=a,abbaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23599 ab:aa=a,abbaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23600 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:69,nodes:14,pairs:7,completionMax:15us [11m12s] 23600 ab:aa=a,abbaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23600 ab:aa=a,abbaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23601 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:28,nodes:14,pairs:3,completionMax:17us [11m12s] 23601 ab:aa=a,abbaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23601 ab:aa=a,abbaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23602 solved: rounds:2,rules:2,peak:3,longest:7,steps:2,word:0,work:54,nodes:14,pairs:5,completionMax:14us [11m12s] 23602 ab:aa=a,abbabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23602 ab:aa=a,abbabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23603 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:48,nodes:16,pairs:5,completionMax:10us [11m12s] 23603 ab:aa=a,abbababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23603 ab:aa=a,abbababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23604 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:56,nodes:16,pairs:6,completionMax:12us [11m12s] 23604 ab:aa=a,abbabbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23604 ab:aa=a,abbabbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23605 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:67,nodes:16,pairs:6,completionMax:14us [11m12s] 23605 ab:aa=a,abbabbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23605 ab:aa=a,abbabbba=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23606 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:25,nodes:16,pairs:3,completionMax:16us [11m12s] 23606 ab:aa=a,abbabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23606 ab:aa=a,abbabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23607 solved: rounds:2,rules:2,peak:3,longest:6,steps:2,word:0,work:38,nodes:12,pairs:4,completionMax:13us [11m12s] 23607 ab:aa=a,abbbaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23607 ab:aa=a,abbbaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23608 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:33,nodes:14,pairs:4,completionMax:12us [11m12s] 23608 ab:aa=a,abbbaabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23608 ab:aa=a,abbbaabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23609 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:0,work:57,nodes:16,pairs:5,completionMax:10us [11m12s] 23609 ab:aa=a,abbbabab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23609 ab:aa=a,abbbabab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23610 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:26,nodes:16,pairs:3,completionMax:13us [11m12s] 23610 ab:aa=a,abbbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23610 ab:aa=a,abbbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23611 solved: rounds:2,rules:2,peak:3,longest:7,steps:1,word:0,work:37,nodes:14,pairs:4,completionMax:9us [11m12s] 23611 ab:aa=a,abbbbaab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23611 ab:aa=a,abbbbaab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23612 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:31,nodes:16,pairs:4,completionMax:13us [11m12s] 23612 ab:aa=a,abbbbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23612 ab:aa=a,abbbbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23613 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:34,nodes:16,pairs:4,completionMax:10us [11m12s] 23613 ab:aa=a,abbbbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23613 ab:aa=a,abbbbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23614 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:46,nodes:16,pairs:5,completionMax:8us [11m12s] 23614 ab:aa=a,abbbbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23614 ab:aa=a,abbbbbba=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23615 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:15,nodes:16,pairs:2,completionMax:10us [11m12s] 23615 ab:aa=a,abbbbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb ab - - ab:a=1,bbbbbbb=1 [11m12s] from: 23615 ab:aa=a,abbbbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=1,b=b [11m12s] # 23616 solved: rounds:3,rules:2,peak:4,longest:3,steps:5,word:0,work:48,nodes:8,pairs:7,completionMax:32us [11m12s] 23616 ab:aa=a,baaaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b ab - - ab:a=1,bb=1 [11m12s] from: 23616 ab:aa=a,baaaaaab=1 finite:2;center:1,b;commutative:ab:a=1,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-1,b-b to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=1,b=b [11m12s] # 23617 solved: rounds:3,rules:2,peak:6,longest:4,steps:4,word:0,work:225,nodes:16,pairs:14,completionMax:29us [11m12s] 23617 ab:aa=a,baaaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m12s] from: 23617 ab:aa=a,baaaaabb=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m12s] # 23618 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:105,nodes:12,pairs:9,completionMax:13us [11m12s] 23618 ab:aa=a,baaaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m12s] from: 23618 ab:aa=a,baaaabab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m12s] # 23619 solved: rounds:3,rules:2,peak:6,longest:6,steps:5,word:0,work:483,nodes:24,pairs:21,completionMax:42us [11m12s] 23619 ab:aa=a,baaaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23619 ab:aa=a,baaaabbb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23620 solved: rounds:3,rules:2,peak:4,longest:5,steps:5,word:0,work:107,nodes:12,pairs:9,completionMax:20us [11m12s] 23620 ab:aa=a,baaabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb ab - - ab:a=1,bbb=1 [11m12s] from: 23620 ab:aa=a,baaabaab=1 finite:3;center:1,b,bb;commutative:ab:a=1,b3=1;saturation:a:a3=1;cancellative;smith:3;group:a-1,b-bb to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=1,b=b [11m12s] # 23621 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:391,nodes:22,pairs:21,completionMax:44us [11m12s] 23621 ab:aa=a,baaababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23621 ab:aa=a,baaababb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23622 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:552,nodes:28,pairs:16,completionMax:49us [11m12s] 23622 ab:aa=a,baaabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23622 ab:aa=a,baaabbab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23623 solved: rounds:3,rules:2,peak:6,longest:8,steps:6,word:0,work:876,nodes:32,pairs:26,completionMax:54us [11m12s] 23623 ab:aa=a,baaabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23623 ab:aa=a,baaabbbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23624 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:393,nodes:22,pairs:21,completionMax:39us [11m12s] 23624 ab:aa=a,baabaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23624 ab:aa=a,baabaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23625 solved: rounds:3,rules:2,peak:4,longest:7,steps:9,word:0,work:265,nodes:16,pairs:11,completionMax:19us [11m12s] 23625 ab:aa=a,baababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23625 ab:aa=a,baababab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23626 solved: rounds:3,rules:2,peak:7,longest:8,steps:7,word:0,work:1023,nodes:36,pairs:24,completionMax:97us [11m12s] 23626 ab:aa=a,baababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23626 ab:aa=a,baababbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23627 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:0,work:555,nodes:28,pairs:16,completionMax:55us [11m12s] 23627 ab:aa=a,baabbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23627 ab:aa=a,baabbaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23628 solved: rounds:3,rules:2,peak:6,longest:7,steps:10,word:0,work:468,nodes:24,pairs:20,completionMax:40us [11m12s] 23628 ab:aa=a,baabbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23628 ab:aa=a,baabbabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23629 solved: rounds:3,rules:2,peak:10,longest:7,steps:5,word:0,work:2075,nodes:48,pairs:87,completionMax:205us [11m12s] 23629 ab:aa=a,baabbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23629 ab:aa=a,baabbbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23630 solved: rounds:3,rules:2,peak:6,longest:10,steps:7,word:0,work:1340,nodes:40,pairs:31,completionMax:76us [11m12s] 23630 ab:aa=a,baabbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23630 ab:aa=a,baabbbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23631 solved: rounds:3,rules:2,peak:6,longest:7,steps:4,word:0,work:395,nodes:22,pairs:21,completionMax:61us [11m12s] 23631 ab:aa=a,babaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23631 ab:aa=a,babaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23632 solved: rounds:3,rules:2,peak:4,longest:7,steps:9,word:0,work:267,nodes:16,pairs:11,completionMax:28us [11m12s] 23632 ab:aa=a,babaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23632 ab:aa=a,babaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23633 solved: rounds:3,rules:2,peak:7,longest:8,steps:7,word:0,work:1025,nodes:36,pairs:24,completionMax:98us [11m12s] 23633 ab:aa=a,babaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23633 ab:aa=a,babaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23634 solved: rounds:3,rules:2,peak:7,longest:9,steps:6,word:0,work:964,nodes:40,pairs:28,completionMax:73us [11m12s] 23634 ab:aa=a,babababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23634 ab:aa=a,babababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23635 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:0,work:1953,nodes:44,pairs:23,completionMax:101us [11m12s] 23635 ab:aa=a,bababbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23635 ab:aa=a,bababbab=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23636 solved: rounds:3,rules:2,peak:7,longest:10,steps:8,word:0,work:1518,nodes:44,pairs:29,completionMax:85us [11m12s] 23636 ab:aa=a,bababbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23636 ab:aa=a,bababbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23637 solved: rounds:3,rules:2,peak:6,longest:7,steps:10,word:0,work:471,nodes:24,pairs:20,completionMax:53us [11m12s] 23637 ab:aa=a,babbaabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23637 ab:aa=a,babbaabb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23638 solved: rounds:3,rules:2,peak:6,longest:10,steps:5,word:0,work:682,nodes:32,pairs:21,completionMax:58us [11m12s] 23638 ab:aa=a,babbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23638 ab:aa=a,babbabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23639 solved: rounds:3,rules:2,peak:6,longest:8,steps:8,word:0,work:821,nodes:34,pairs:20,completionMax:57us [11m12s] 23639 ab:aa=a,babbbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23639 ab:aa=a,babbbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23640 solved: rounds:3,rules:2,peak:11,longest:9,steps:5,word:0,work:2793,nodes:58,pairs:113,completionMax:278us [11m12s] 23640 ab:aa=a,babbbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23640 ab:aa=a,babbbbab=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23641 solved: rounds:3,rules:2,peak:6,longest:12,steps:8,word:0,work:1899,nodes:48,pairs:36,completionMax:109us [11m12s] 23641 ab:aa=a,babbbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb ab - - ab:a=1,bbbbbbb=1 [11m12s] from: 23641 ab:aa=a,babbbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=1,b=b [11m12s] # 23642 solved: rounds:3,rules:2,peak:6,longest:5,steps:4,word:0,work:357,nodes:22,pairs:12,completionMax:50us [11m12s] 23642 ab:aa=a,bbaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb ab - - ab:a=1,bbbb=1 [11m12s] from: 23642 ab:aa=a,bbaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:a=1,b4=1;saturation:a:a4=1;cancellative;smith:4;group:a-1,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=1,b=a [11m12s] # 23643 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:765,nodes:32,pairs:16,completionMax:64us [11m12s] 23643 ab:aa=a,bbaaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23643 ab:aa=a,bbaaabbb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23644 solved: rounds:3,rules:2,peak:8,longest:9,steps:6,word:0,work:1143,nodes:42,pairs:45,completionMax:108us [11m12s] 23644 ab:aa=a,bbaababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb ab - - ab:a=1,bbbbb=1 [11m12s] from: 23644 ab:aa=a,bbaababb=1 finite:5;center:1,b,bb,bbb,bbbb;commutative:ab:a=1,b5=1;saturation:a:a5=1;cancellative;smith:5;group:a-1,b-bbbb to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=1,b=b [11m12s] # 23645 solved: rounds:3,rules:2,peak:8,longest:8,steps:5,word:0,work:1635,nodes:40,pairs:39,completionMax:112us [11m12s] 23645 ab:aa=a,bbaabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23645 ab:aa=a,bbaabbbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23646 solved: rounds:3,rules:2,peak:10,longest:10,steps:6,word:0,work:3261,nodes:62,pairs:50,completionMax:184us [11m12s] 23646 ab:aa=a,bbababbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23646 ab:aa=a,bbababbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23647 solved: rounds:3,rules:2,peak:6,longest:8,steps:9,word:0,work:874,nodes:34,pairs:14,completionMax:74us [11m12s] 23647 ab:aa=a,bbabbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23647 ab:aa=a,bbabbabb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23648 solved: rounds:3,rules:2,peak:8,longest:10,steps:5,word:0,work:2495,nodes:50,pairs:49,completionMax:287us [11m12s] 23648 ab:aa=a,bbabbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb ab - - ab:a=1,bbbbbbb=1 [11m12s] from: 23648 ab:aa=a,bbabbbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=1,b=b [11m12s] # 23649 solved: rounds:3,rules:2,peak:6,longest:7,steps:5,word:0,work:677,nodes:32,pairs:15,completionMax:51us [11m12s] 23649 ab:aa=a,bbbaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb ab - - ab:a=1,bbbbbb=1 [11m12s] from: 23649 ab:aa=a,bbbaabbb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:a=1,b6=1;saturation:a:a6=1;cancellative;smith:6;group:a-1,b-bbbbb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=1,b=b [11m12s] # 23650 solved: rounds:3,rules:2,peak:7,longest:9,steps:5,word:0,work:1297,nodes:42,pairs:21,completionMax:101us [11m12s] 23650 ab:aa=a,bbbabbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb ab - - ab:a=1,bbbbbbb=1 [11m12s] from: 23650 ab:aa=a,bbbabbbb=1 finite:7;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a=1,b7=1;saturation:a:a7=1;cancellative;smith:7;group:a-1,b-bbbbbb to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=1,b=b [11m12s] # 23651 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:4,nodes:18,pairs:0,completionMax:5us [11m12s] 23651 ab:aa=a,bbbbbbbb=1 infinite ab - - ab:aa=a,bbbbbbbb=1 [11m12s] # 23652 solved: rounds:0,rules:2,peak:2,longest:8,steps:0,word:0,work:0,nodes:16,pairs:0,completionMax:6us [11m12s] 23652 ab:aa=b,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa a/b - - ab:aaaaaaaa=1,b=aa [11m12s] from: 23652 ab:aa=b,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a2;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aaaaaa to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=aa [11m12s] # 23653 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:1,work:8,nodes:18,pairs:0,completionMax:6us [11m12s] 23653 ab:aa=b,aaaaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [11m12s] from: 23653 ab:aa=b,aaaaaaab=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [11m12s] # 23654 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:1,work:7,nodes:18,pairs:0,completionMax:4us [11m12s] 23654 ab:aa=b,aaaaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [11m12s] from: 23654 ab:aa=b,aaaaaaba=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [11m12s] # 23655 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:16,nodes:20,pairs:0,completionMax:6us [11m12s] 23655 ab:aa=b,aaaaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23655 ab:aa=b,aaaaaabb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23656 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:1,work:6,nodes:18,pairs:0,completionMax:5us [11m12s] 23656 ab:aa=b,aaaaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [11m12s] from: 23656 ab:aa=b,aaaaabaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [11m12s] # 23657 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:15,nodes:20,pairs:0,completionMax:4us [11m12s] 23657 ab:aa=b,aaaaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23657 ab:aa=b,aaaaabab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23658 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:14,nodes:20,pairs:0,completionMax:4us [11m12s] 23658 ab:aa=b,aaaaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23658 ab:aa=b,aaaaabba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23659 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:24,nodes:22,pairs:0,completionMax:9us [11m12s] 23659 ab:aa=b,aaaaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23659 ab:aa=b,aaaaabbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23660 solved: rounds:0,rules:2,peak:2,longest:9,steps:1,word:1,work:5,nodes:18,pairs:0,completionMax:6us [11m12s] 23660 ab:aa=b,aaaabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa a/b - - ab:aaaaaaaaa=1,b=aa [11m12s] from: 23660 ab:aa=b,aaaabaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b5;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaaa to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaa,b=a [11m12s] # 23661 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:14,nodes:20,pairs:0,completionMax:6us [11m12s] 23661 ab:aa=b,aaaabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23661 ab:aa=b,aaaabaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23662 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:13,nodes:20,pairs:0,completionMax:6us [11m12s] 23662 ab:aa=b,aaaababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23662 ab:aa=b,aaaababa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23663 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:23,nodes:22,pairs:0,completionMax:6us [11m12s] 23663 ab:aa=b,aaaababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23663 ab:aa=b,aaaababb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23664 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:12,nodes:20,pairs:0,completionMax:6us [11m12s] 23664 ab:aa=b,aaaabbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23664 ab:aa=b,aaaabbaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23665 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:22,nodes:22,pairs:0,completionMax:6us [11m12s] 23665 ab:aa=b,aaaabbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23665 ab:aa=b,aaaabbab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23666 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:21,nodes:22,pairs:0,completionMax:6us [11m12s] 23666 ab:aa=b,aaaabbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23666 ab:aa=b,aaaabbba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23667 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:32,nodes:24,pairs:0,completionMax:6us [11m12s] 23667 ab:aa=b,aaaabbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23667 ab:aa=b,aaaabbbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23668 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:13,nodes:20,pairs:0,completionMax:6us [11m12s] 23668 ab:aa=b,aaabaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23668 ab:aa=b,aaabaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23669 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:12,nodes:20,pairs:0,completionMax:5us [11m12s] 23669 ab:aa=b,aaabaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23669 ab:aa=b,aaabaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23670 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:22,nodes:22,pairs:0,completionMax:7us [11m12s] 23670 ab:aa=b,aaabaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23670 ab:aa=b,aaabaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23671 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:11,nodes:20,pairs:0,completionMax:5us [11m12s] 23671 ab:aa=b,aaababaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23671 ab:aa=b,aaababaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23672 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:21,nodes:22,pairs:0,completionMax:8us [11m12s] 23672 ab:aa=b,aaababab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23672 ab:aa=b,aaababab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23673 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:20,nodes:22,pairs:0,completionMax:6us [11m12s] 23673 ab:aa=b,aaababba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23673 ab:aa=b,aaababba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23674 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:31,nodes:24,pairs:0,completionMax:6us [11m12s] 23674 ab:aa=b,aaababbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23674 ab:aa=b,aaababbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23675 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:10,nodes:20,pairs:0,completionMax:5us [11m12s] 23675 ab:aa=b,aaabbaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23675 ab:aa=b,aaabbaaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23676 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:20,nodes:22,pairs:0,completionMax:10us [11m12s] 23676 ab:aa=b,aaabbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23676 ab:aa=b,aaabbaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23677 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:19,nodes:22,pairs:0,completionMax:6us [11m12s] 23677 ab:aa=b,aaabbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23677 ab:aa=b,aaabbaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23678 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:30,nodes:24,pairs:0,completionMax:8us [11m12s] 23678 ab:aa=b,aaabbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23678 ab:aa=b,aaabbabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23679 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:4us [11m12s] 23679 ab:aa=b,aaabbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23679 ab:aa=b,aaabbbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23680 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:29,nodes:24,pairs:0,completionMax:6us [11m12s] 23680 ab:aa=b,aaabbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23680 ab:aa=b,aaabbbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23681 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:28,nodes:24,pairs:0,completionMax:5us [11m12s] 23681 ab:aa=b,aaabbbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23681 ab:aa=b,aaabbbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23682 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:40,nodes:26,pairs:0,completionMax:9us [11m12s] 23682 ab:aa=b,aaabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23682 ab:aa=b,aaabbbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23683 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:12,nodes:20,pairs:0,completionMax:5us [11m12s] 23683 ab:aa=b,aabaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23683 ab:aa=b,aabaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23684 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:11,nodes:20,pairs:0,completionMax:5us [11m12s] 23684 ab:aa=b,aabaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23684 ab:aa=b,aabaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23685 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:21,nodes:22,pairs:0,completionMax:5us [11m12s] 23685 ab:aa=b,aabaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23685 ab:aa=b,aabaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23686 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:10,nodes:20,pairs:0,completionMax:5us [11m12s] 23686 ab:aa=b,aabaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23686 ab:aa=b,aabaabaa=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23687 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:20,nodes:22,pairs:0,completionMax:6us [11m12s] 23687 ab:aa=b,aabaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23687 ab:aa=b,aabaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23688 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:19,nodes:22,pairs:0,completionMax:5us [11m12s] 23688 ab:aa=b,aabaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23688 ab:aa=b,aabaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23689 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:30,nodes:24,pairs:0,completionMax:6us [11m12s] 23689 ab:aa=b,aabaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23689 ab:aa=b,aabaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23690 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:19,nodes:22,pairs:0,completionMax:7us [11m12s] 23690 ab:aa=b,aababaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23690 ab:aa=b,aababaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23691 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:6us [11m12s] 23691 ab:aa=b,aabababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23691 ab:aa=b,aabababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23692 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:29,nodes:24,pairs:0,completionMax:11us [11m12s] 23692 ab:aa=b,aabababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23692 ab:aa=b,aabababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23693 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:17,nodes:22,pairs:0,completionMax:5us [11m12s] 23693 ab:aa=b,aababbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23693 ab:aa=b,aababbaa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23694 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:28,nodes:24,pairs:0,completionMax:6us [11m12s] 23694 ab:aa=b,aababbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23694 ab:aa=b,aababbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23695 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:27,nodes:24,pairs:0,completionMax:5us [11m12s] 23695 ab:aa=b,aababbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23695 ab:aa=b,aababbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23696 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:39,nodes:26,pairs:0,completionMax:8us [11m12s] 23696 ab:aa=b,aababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23696 ab:aa=b,aababbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23697 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:6us [11m12s] 23697 ab:aa=b,aabbaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23697 ab:aa=b,aabbaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23698 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:17,nodes:22,pairs:0,completionMax:4us [11m12s] 23698 ab:aa=b,aabbaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23698 ab:aa=b,aabbaaba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23699 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:28,nodes:24,pairs:0,completionMax:5us [11m12s] 23699 ab:aa=b,aabbaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23699 ab:aa=b,aabbaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23700 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:27,nodes:24,pairs:0,completionMax:7us [11m12s] 23700 ab:aa=b,aabbabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23700 ab:aa=b,aabbabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23701 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:6us [11m12s] 23701 ab:aa=b,aabbabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23701 ab:aa=b,aabbabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23702 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:38,nodes:26,pairs:0,completionMax:9us [11m12s] 23702 ab:aa=b,aabbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23702 ab:aa=b,aabbabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23703 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:7us [11m12s] 23703 ab:aa=b,aabbbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23703 ab:aa=b,aabbbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23704 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:6us [11m12s] 23704 ab:aa=b,aabbbaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23704 ab:aa=b,aabbbaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23705 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:37,nodes:26,pairs:0,completionMax:7us [11m12s] 23705 ab:aa=b,aabbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23705 ab:aa=b,aabbbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23706 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:6us [11m12s] 23706 ab:aa=b,aabbbbaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23706 ab:aa=b,aabbbbaa=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23707 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:36,nodes:26,pairs:0,completionMax:7us [11m12s] 23707 ab:aa=b,aabbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23707 ab:aa=b,aabbbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23708 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:35,nodes:26,pairs:0,completionMax:9us [11m12s] 23708 ab:aa=b,aabbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23708 ab:aa=b,aabbbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23709 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:48,nodes:28,pairs:0,completionMax:9us [11m12s] 23709 ab:aa=b,aabbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23709 ab:aa=b,aabbbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23710 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:11,nodes:20,pairs:0,completionMax:6us [11m12s] 23710 ab:aa=b,abaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23710 ab:aa=b,abaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23711 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:10,nodes:20,pairs:0,completionMax:5us [11m12s] 23711 ab:aa=b,abaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23711 ab:aa=b,abaaaaba=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23712 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:20,nodes:22,pairs:0,completionMax:6us [11m12s] 23712 ab:aa=b,abaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23712 ab:aa=b,abaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23713 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:19,nodes:22,pairs:0,completionMax:4us [11m12s] 23713 ab:aa=b,abaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23713 ab:aa=b,abaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23714 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:9us [11m12s] 23714 ab:aa=b,abaaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23714 ab:aa=b,abaaabba=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23715 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:29,nodes:24,pairs:0,completionMax:5us [11m12s] 23715 ab:aa=b,abaaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23715 ab:aa=b,abaaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23716 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:5us [11m12s] 23716 ab:aa=b,abaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23716 ab:aa=b,abaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23717 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:17,nodes:22,pairs:0,completionMax:8us [11m12s] 23717 ab:aa=b,abaababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23717 ab:aa=b,abaababa=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23718 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:28,nodes:24,pairs:0,completionMax:5us [11m12s] 23718 ab:aa=b,abaababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23718 ab:aa=b,abaababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23719 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:27,nodes:24,pairs:0,completionMax:8us [11m12s] 23719 ab:aa=b,abaabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23719 ab:aa=b,abaabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23720 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:9us [11m12s] 23720 ab:aa=b,abaabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23720 ab:aa=b,abaabbba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23721 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:38,nodes:26,pairs:0,completionMax:8us [11m12s] 23721 ab:aa=b,abaabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23721 ab:aa=b,abaabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23722 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:17,nodes:22,pairs:0,completionMax:8us [11m12s] 23722 ab:aa=b,ababaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23722 ab:aa=b,ababaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23723 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:27,nodes:24,pairs:0,completionMax:7us [11m12s] 23723 ab:aa=b,ababaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23723 ab:aa=b,ababaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23724 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:8us [11m12s] 23724 ab:aa=b,abababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23724 ab:aa=b,abababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23725 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:8us [11m12s] 23725 ab:aa=b,abababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23725 ab:aa=b,abababba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23726 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:37,nodes:26,pairs:0,completionMax:7us [11m12s] 23726 ab:aa=b,abababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23726 ab:aa=b,abababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23727 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:6us [11m12s] 23727 ab:aa=b,ababbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23727 ab:aa=b,ababbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23728 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:6us [11m12s] 23728 ab:aa=b,ababbaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23728 ab:aa=b,ababbaba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23729 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:36,nodes:26,pairs:0,completionMax:7us [11m12s] 23729 ab:aa=b,ababbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23729 ab:aa=b,ababbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23730 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:35,nodes:26,pairs:0,completionMax:6us [11m12s] 23730 ab:aa=b,ababbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23730 ab:aa=b,ababbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23731 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:9us [11m12s] 23731 ab:aa=b,ababbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23731 ab:aa=b,ababbbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23732 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:47,nodes:28,pairs:0,completionMax:9us [11m12s] 23732 ab:aa=b,ababbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23732 ab:aa=b,ababbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23733 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:16,nodes:22,pairs:0,completionMax:7us [11m12s] 23733 ab:aa=b,abbaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23733 ab:aa=b,abbaaaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23734 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:7us [11m12s] 23734 ab:aa=b,abbaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23734 ab:aa=b,abbaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23735 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:6us [11m12s] 23735 ab:aa=b,abbaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23735 ab:aa=b,abbaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23736 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:7us [11m12s] 23736 ab:aa=b,abbaabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23736 ab:aa=b,abbaabba=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23737 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:36,nodes:26,pairs:0,completionMax:6us [11m12s] 23737 ab:aa=b,abbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23737 ab:aa=b,abbaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23738 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:8us [11m12s] 23738 ab:aa=b,abbabaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23738 ab:aa=b,abbabaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23739 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:35,nodes:26,pairs:0,completionMax:6us [11m12s] 23739 ab:aa=b,abbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23739 ab:aa=b,abbababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23740 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:7us [11m12s] 23740 ab:aa=b,abbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23740 ab:aa=b,abbabbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23741 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:33,nodes:26,pairs:0,completionMax:5us [11m12s] 23741 ab:aa=b,abbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23741 ab:aa=b,abbabbba=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23742 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:46,nodes:28,pairs:0,completionMax:8us [11m12s] 23742 ab:aa=b,abbabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23742 ab:aa=b,abbabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23743 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:23,nodes:24,pairs:0,completionMax:5us [11m12s] 23743 ab:aa=b,abbbaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23743 ab:aa=b,abbbaaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23744 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:5us [11m12s] 23744 ab:aa=b,abbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23744 ab:aa=b,abbbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23745 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:33,nodes:26,pairs:0,completionMax:5us [11m12s] 23745 ab:aa=b,abbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23745 ab:aa=b,abbbabab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23746 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:45,nodes:28,pairs:0,completionMax:6us [11m12s] 23746 ab:aa=b,abbbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23746 ab:aa=b,abbbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23747 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:32,nodes:26,pairs:0,completionMax:5us [11m12s] 23747 ab:aa=b,abbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23747 ab:aa=b,abbbbaab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23748 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:44,nodes:28,pairs:0,completionMax:6us [11m12s] 23748 ab:aa=b,abbbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23748 ab:aa=b,abbbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23749 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:43,nodes:28,pairs:0,completionMax:5us [11m12s] 23749 ab:aa=b,abbbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23749 ab:aa=b,abbbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23750 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:42,nodes:28,pairs:0,completionMax:7us [11m12s] 23750 ab:aa=b,abbbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23750 ab:aa=b,abbbbbba=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23751 solved: rounds:0,rules:2,peak:2,longest:15,steps:7,word:7,work:56,nodes:30,pairs:0,completionMax:8us [11m12s] 23751 ab:aa=b,abbbbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23751 ab:aa=b,abbbbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaa,b=a [11m12s] # 23752 solved: rounds:0,rules:2,peak:2,longest:10,steps:2,word:2,work:10,nodes:20,pairs:0,completionMax:5us [11m12s] 23752 ab:aa=b,baaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa a/b - - ab:aaaaaaaaaa=1,b=aa [11m12s] from: 23752 ab:aa=b,baaaaaab=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=1,b=a2;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaaa to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=b,b=bb [11m12s] # 23753 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:19,nodes:22,pairs:0,completionMax:5us [11m12s] 23753 ab:aa=b,baaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23753 ab:aa=b,baaaaabb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23754 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:18,nodes:22,pairs:0,completionMax:4us [11m12s] 23754 ab:aa=b,baaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23754 ab:aa=b,baaaabab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23755 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:28,nodes:24,pairs:0,completionMax:6us [11m12s] 23755 ab:aa=b,baaaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23755 ab:aa=b,baaaabbb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23756 solved: rounds:0,rules:2,peak:2,longest:11,steps:3,word:3,work:17,nodes:22,pairs:0,completionMax:4us [11m12s] 23756 ab:aa=b,baaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa a/b - - ab:aaaaaaaaaaa=1,b=aa [11m12s] from: 23756 ab:aa=b,baaabaab=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b6;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaaaaaaa to: 1472 ab:aaa=bb,abbb=1 finite:11;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=1,a=b8;saturation:a:a11=1;cancellative;smith:11;group:a-aaaaaaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 23757 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:27,nodes:24,pairs:0,completionMax:9us [11m12s] 23757 ab:aa=b,baaababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23757 ab:aa=b,baaababb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23758 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:5us [11m12s] 23758 ab:aa=b,baaabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23758 ab:aa=b,baaabbab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23759 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:37,nodes:26,pairs:0,completionMax:8us [11m12s] 23759 ab:aa=b,baaabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23759 ab:aa=b,baaabbbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23760 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:26,nodes:24,pairs:0,completionMax:8us [11m12s] 23760 ab:aa=b,baabaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23760 ab:aa=b,baabaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23761 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:7us [11m12s] 23761 ab:aa=b,baababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23761 ab:aa=b,baababab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23762 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:36,nodes:26,pairs:0,completionMax:9us [11m12s] 23762 ab:aa=b,baababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23762 ab:aa=b,baababbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23763 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:7us [11m12s] 23763 ab:aa=b,baabbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23763 ab:aa=b,baabbaab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23764 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:35,nodes:26,pairs:0,completionMax:8us [11m12s] 23764 ab:aa=b,baabbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23764 ab:aa=b,baabbabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23765 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:8us [11m12s] 23765 ab:aa=b,baabbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23765 ab:aa=b,baabbbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23766 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:46,nodes:28,pairs:0,completionMax:9us [11m12s] 23766 ab:aa=b,baabbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23766 ab:aa=b,baabbbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23767 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:25,nodes:24,pairs:0,completionMax:7us [11m12s] 23767 ab:aa=b,babaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23767 ab:aa=b,babaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23768 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:7us [11m12s] 23768 ab:aa=b,babaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23768 ab:aa=b,babaabab=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23769 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:35,nodes:26,pairs:0,completionMax:9us [11m12s] 23769 ab:aa=b,babaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23769 ab:aa=b,babaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23770 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:7us [11m12s] 23770 ab:aa=b,babababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23770 ab:aa=b,babababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23771 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:33,nodes:26,pairs:0,completionMax:7us [11m12s] 23771 ab:aa=b,bababbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23771 ab:aa=b,bababbab=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23772 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:45,nodes:28,pairs:0,completionMax:9us [11m12s] 23772 ab:aa=b,bababbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23772 ab:aa=b,bababbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23773 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:33,nodes:26,pairs:0,completionMax:9us [11m12s] 23773 ab:aa=b,babbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23773 ab:aa=b,babbaabb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23774 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:44,nodes:28,pairs:0,completionMax:9us [11m12s] 23774 ab:aa=b,babbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23774 ab:aa=b,babbabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23775 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:43,nodes:28,pairs:0,completionMax:9us [11m12s] 23775 ab:aa=b,babbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23775 ab:aa=b,babbbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23776 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:42,nodes:28,pairs:0,completionMax:9us [11m12s] 23776 ab:aa=b,babbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23776 ab:aa=b,babbbbab=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23777 solved: rounds:0,rules:2,peak:2,longest:15,steps:7,word:7,work:55,nodes:30,pairs:0,completionMax:9us [11m12s] 23777 ab:aa=b,babbbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23777 ab:aa=b,babbbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaa,b=a [11m12s] # 23778 solved: rounds:0,rules:2,peak:2,longest:12,steps:4,word:4,work:24,nodes:24,pairs:0,completionMax:7us [11m12s] 23778 ab:aa=b,bbaaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa a/b - - ab:aaaaaaaaaaaa=1,b=aa [11m12s] from: 23778 ab:aa=b,bbaaaabb=1 finite:12;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=1,b=a2;saturation:a:a12=1;cancellative;smith:12;group:a-aaaaaaaaaaa,b-aaaaaaaaaa to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=b,b=bb [11m12s] # 23779 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:34,nodes:26,pairs:0,completionMax:7us [11m12s] 23779 ab:aa=b,bbaaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23779 ab:aa=b,bbaaabbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23780 solved: rounds:0,rules:2,peak:2,longest:13,steps:5,word:5,work:33,nodes:26,pairs:0,completionMax:6us [11m12s] 23780 ab:aa=b,bbaababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaa=1,b=aa [11m12s] from: 23780 ab:aa=b,bbaababb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b7;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaaaa to: 1328 ab:aaaa=b,abbb=1 finite:13;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:b13=1,a=b10;saturation:a:a13=1;cancellative;smith:13;group:a-aaaaaaaaaaaa,b-aaaaaaaaa a=bbbbbbb,b=b [11m12s] # 23781 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:44,nodes:28,pairs:0,completionMax:7us [11m12s] 23781 ab:aa=b,bbaabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23781 ab:aa=b,bbaabbbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23782 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:43,nodes:28,pairs:0,completionMax:10us [11m12s] 23782 ab:aa=b,bbababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23782 ab:aa=b,bbababbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23783 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:42,nodes:28,pairs:0,completionMax:8us [11m12s] 23783 ab:aa=b,bbabbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23783 ab:aa=b,bbabbabb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23784 solved: rounds:0,rules:2,peak:2,longest:15,steps:7,word:7,work:54,nodes:30,pairs:0,completionMax:10us [11m12s] 23784 ab:aa=b,bbabbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23784 ab:aa=b,bbabbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaa,b=a [11m12s] # 23785 solved: rounds:0,rules:2,peak:2,longest:14,steps:6,word:6,work:42,nodes:28,pairs:0,completionMax:7us [11m12s] 23785 ab:aa=b,bbbaabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23785 ab:aa=b,bbbaabbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=1,b=a2;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaaaaaaaaa to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=b,b=bb [11m12s] # 23786 solved: rounds:0,rules:2,peak:2,longest:15,steps:7,word:7,work:53,nodes:30,pairs:0,completionMax:7us [11m12s] 23786 ab:aa=b,bbbabbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23786 ab:aa=b,bbbabbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:b15=1,a=b8;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaaaaaaaaaaaa to: 1751 ab:aaab=1,bbbbb=1 finite:15;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa;commutative:ab:a15=1,b=a12;saturation:a:a15=1;cancellative;smith:15;group:a-aaaaaaaaaaaaaa,b-aaa a=aaaaaaaa,b=a [11m12s] # 23787 solved: rounds:0,rules:2,peak:2,longest:16,steps:8,word:8,work:64,nodes:32,pairs:0,completionMax:11us [11m12s] 23787 ab:aa=b,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a2;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa a/b - - ab:aaaaaaaaaaaaaaaa=1,b=aa [11m12s] from: 23787 ab:aa=b,bbbbbbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a2;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaaaa to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=a,b=aa [11m12s] # 23788 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:0,work:8,nodes:16,pairs:1,completionMax:6us [11m12s] 23788 ab:ab=a,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b=1,a8=1;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-1 ab - - ab:b=1,aaaaaaaa=1 [11m12s] from: 23788 ab:ab=a,aaaaaaaa=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b=1,a8=1;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-1 to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=a,b=1 [11m12s] # 23789 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:15,nodes:14,pairs:1,completionMax:4us [11m12s] 23789 ab:ab=a,aaaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23789 ab:ab=a,aaaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23790 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:9us [11m12s] 23790 ab:ab=a,aaaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23790 ab:ab=a,aaaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23791 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:20,nodes:12,pairs:1,completionMax:6us [11m12s] 23791 ab:ab=a,aaaaaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23791 ab:ab=a,aaaaaabb=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23792 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:13,nodes:14,pairs:1,completionMax:8us [11m12s] 23792 ab:ab=a,aaaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23792 ab:ab=a,aaaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23793 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:19,nodes:12,pairs:1,completionMax:5us [11m12s] 23793 ab:ab=a,aaaaabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23793 ab:ab=a,aaaaabab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23794 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:4us [11m12s] 23794 ab:ab=a,aaaaabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23794 ab:ab=a,aaaaabba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23795 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:23,nodes:10,pairs:1,completionMax:5us [11m12s] 23795 ab:ab=a,aaaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23795 ab:ab=a,aaaaabbb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23796 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:12,nodes:14,pairs:1,completionMax:6us [11m12s] 23796 ab:ab=a,aaaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23796 ab:ab=a,aaaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23797 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [11m12s] 23797 ab:ab=a,aaaabaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23797 ab:ab=a,aaaabaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23798 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:17,nodes:12,pairs:1,completionMax:4us [11m12s] 23798 ab:ab=a,aaaababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23798 ab:ab=a,aaaababa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23799 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:22,nodes:10,pairs:1,completionMax:4us [11m12s] 23799 ab:ab=a,aaaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23799 ab:ab=a,aaaababb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23800 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:16,nodes:12,pairs:1,completionMax:7us [11m12s] 23800 ab:ab=a,aaaabbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23800 ab:ab=a,aaaabbaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23801 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:21,nodes:10,pairs:1,completionMax:4us [11m12s] 23801 ab:ab=a,aaaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23801 ab:ab=a,aaaabbab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23802 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:6us [11m12s] 23802 ab:ab=a,aaaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23802 ab:ab=a,aaaabbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23803 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:24,nodes:8,pairs:1,completionMax:6us [11m12s] 23803 ab:ab=a,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23803 ab:ab=a,aaaabbbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23804 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:11,nodes:14,pairs:1,completionMax:9us [11m12s] 23804 ab:ab=a,aaabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23804 ab:ab=a,aaabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23805 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:17,nodes:12,pairs:1,completionMax:8us [11m12s] 23805 ab:ab=a,aaabaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23805 ab:ab=a,aaabaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23806 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:16,nodes:12,pairs:1,completionMax:8us [11m12s] 23806 ab:ab=a,aaabaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23806 ab:ab=a,aaabaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23807 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:21,nodes:10,pairs:1,completionMax:6us [11m12s] 23807 ab:ab=a,aaabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23807 ab:ab=a,aaabaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23808 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:15,nodes:12,pairs:1,completionMax:11us [11m12s] 23808 ab:ab=a,aaababaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23808 ab:ab=a,aaababaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23809 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:5us [11m12s] 23809 ab:ab=a,aaababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23809 ab:ab=a,aaababab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23810 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:7us [11m12s] 23810 ab:ab=a,aaababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23810 ab:ab=a,aaababba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23811 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:23,nodes:8,pairs:1,completionMax:4us [11m12s] 23811 ab:ab=a,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23811 ab:ab=a,aaababbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23812 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:14,nodes:12,pairs:1,completionMax:8us [11m12s] 23812 ab:ab=a,aaabbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23812 ab:ab=a,aaabbaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23813 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:4us [11m12s] 23813 ab:ab=a,aaabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23813 ab:ab=a,aaabbaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23814 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:3us [11m12s] 23814 ab:ab=a,aaabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23814 ab:ab=a,aaabbaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23815 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:22,nodes:8,pairs:1,completionMax:3us [11m12s] 23815 ab:ab=a,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23815 ab:ab=a,aaabbabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23816 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:8us [11m12s] 23816 ab:ab=a,aaabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23816 ab:ab=a,aaabbbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23817 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:21,nodes:8,pairs:1,completionMax:4us [11m12s] 23817 ab:ab=a,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23817 ab:ab=a,aaabbbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23818 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:3us [11m12s] 23818 ab:ab=a,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23818 ab:ab=a,aaabbbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23819 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:23,nodes:6,pairs:1,completionMax:3us [11m12s] 23819 ab:ab=a,aaabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23819 ab:ab=a,aaabbbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23820 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:10,nodes:14,pairs:1,completionMax:6us [11m12s] 23820 ab:ab=a,aabaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23820 ab:ab=a,aabaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23821 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:16,nodes:12,pairs:1,completionMax:10us [11m12s] 23821 ab:ab=a,aabaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23821 ab:ab=a,aabaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23822 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:15,nodes:12,pairs:1,completionMax:8us [11m12s] 23822 ab:ab=a,aabaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23822 ab:ab=a,aabaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23823 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:5us [11m12s] 23823 ab:ab=a,aabaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23823 ab:ab=a,aabaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23824 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:14,nodes:12,pairs:1,completionMax:6us [11m12s] 23824 ab:ab=a,aabaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23824 ab:ab=a,aabaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23825 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:4us [11m12s] 23825 ab:ab=a,aabaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23825 ab:ab=a,aabaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23826 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:4us [11m12s] 23826 ab:ab=a,aabaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23826 ab:ab=a,aabaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23827 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:22,nodes:8,pairs:1,completionMax:4us [11m12s] 23827 ab:ab=a,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23827 ab:ab=a,aabaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23828 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:13,nodes:12,pairs:1,completionMax:5us [11m12s] 23828 ab:ab=a,aababaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23828 ab:ab=a,aababaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23829 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:4us [11m12s] 23829 ab:ab=a,aababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23829 ab:ab=a,aababaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23830 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:4us [11m12s] 23830 ab:ab=a,aabababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23830 ab:ab=a,aabababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23831 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:21,nodes:8,pairs:1,completionMax:4us [11m12s] 23831 ab:ab=a,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23831 ab:ab=a,aabababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23832 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:16,nodes:10,pairs:1,completionMax:7us [11m12s] 23832 ab:ab=a,aababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23832 ab:ab=a,aababbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23833 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:4us [11m12s] 23833 ab:ab=a,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23833 ab:ab=a,aababbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23834 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:4us [11m12s] 23834 ab:ab=a,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23834 ab:ab=a,aababbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23835 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:22,nodes:6,pairs:1,completionMax:4us [11m12s] 23835 ab:ab=a,aababbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23835 ab:ab=a,aababbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23836 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:12,nodes:12,pairs:1,completionMax:6us [11m12s] 23836 ab:ab=a,aabbaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23836 ab:ab=a,aabbaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23837 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:6us [11m12s] 23837 ab:ab=a,aabbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23837 ab:ab=a,aabbaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23838 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:16,nodes:10,pairs:1,completionMax:4us [11m12s] 23838 ab:ab=a,aabbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23838 ab:ab=a,aabbaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23839 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:4us [11m12s] 23839 ab:ab=a,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23839 ab:ab=a,aabbaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23840 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:15,nodes:10,pairs:1,completionMax:7us [11m12s] 23840 ab:ab=a,aabbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23840 ab:ab=a,aabbabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23841 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:4us [11m12s] 23841 ab:ab=a,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23841 ab:ab=a,aabbabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23842 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:6us [11m12s] 23842 ab:ab=a,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23842 ab:ab=a,aabbabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23843 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:21,nodes:6,pairs:1,completionMax:5us [11m12s] 23843 ab:ab=a,aabbabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23843 ab:ab=a,aabbabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23844 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:14,nodes:10,pairs:1,completionMax:5us [11m12s] 23844 ab:ab=a,aabbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23844 ab:ab=a,aabbbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23845 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:3us [11m12s] 23845 ab:ab=a,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23845 ab:ab=a,aabbbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23846 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:17,nodes:8,pairs:1,completionMax:7us [11m12s] 23846 ab:ab=a,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23846 ab:ab=a,aabbbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23847 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:20,nodes:6,pairs:1,completionMax:2us [11m12s] 23847 ab:ab=a,aabbbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23847 ab:ab=a,aabbbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23848 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:16,nodes:8,pairs:1,completionMax:8us [11m12s] 23848 ab:ab=a,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23848 ab:ab=a,aabbbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23849 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:19,nodes:6,pairs:1,completionMax:4us [11m12s] 23849 ab:ab=a,aabbbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23849 ab:ab=a,aabbbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23850 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:18,nodes:6,pairs:1,completionMax:4us [11m12s] 23850 ab:ab=a,aabbbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23850 ab:ab=a,aabbbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23851 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:20,nodes:4,pairs:1,completionMax:3us [11m12s] 23851 ab:ab=a,aabbbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23851 ab:ab=a,aabbbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23852 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:9,nodes:14,pairs:1,completionMax:7us [11m12s] 23852 ab:ab=a,abaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23852 ab:ab=a,abaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23853 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:15,nodes:12,pairs:1,completionMax:4us [11m12s] 23853 ab:ab=a,abaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23853 ab:ab=a,abaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23854 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:14,nodes:12,pairs:1,completionMax:4us [11m12s] 23854 ab:ab=a,abaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23854 ab:ab=a,abaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23855 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:4us [11m12s] 23855 ab:ab=a,abaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23855 ab:ab=a,abaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23856 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:13,nodes:12,pairs:1,completionMax:5us [11m12s] 23856 ab:ab=a,abaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23856 ab:ab=a,abaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23857 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:4us [11m12s] 23857 ab:ab=a,abaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23857 ab:ab=a,abaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23858 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:3us [11m12s] 23858 ab:ab=a,abaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23858 ab:ab=a,abaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23859 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:21,nodes:8,pairs:1,completionMax:4us [11m12s] 23859 ab:ab=a,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23859 ab:ab=a,abaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23860 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:12,nodes:12,pairs:1,completionMax:8us [11m12s] 23860 ab:ab=a,abaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23860 ab:ab=a,abaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23861 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:4us [11m12s] 23861 ab:ab=a,abaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23861 ab:ab=a,abaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23862 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:16,nodes:10,pairs:1,completionMax:7us [11m12s] 23862 ab:ab=a,abaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23862 ab:ab=a,abaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23863 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:4us [11m12s] 23863 ab:ab=a,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23863 ab:ab=a,abaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23864 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:15,nodes:10,pairs:1,completionMax:6us [11m12s] 23864 ab:ab=a,abaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23864 ab:ab=a,abaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23865 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:4us [11m12s] 23865 ab:ab=a,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23865 ab:ab=a,abaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23866 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:3us [11m12s] 23866 ab:ab=a,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23866 ab:ab=a,abaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23867 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:21,nodes:6,pairs:1,completionMax:3us [11m12s] 23867 ab:ab=a,abaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23867 ab:ab=a,abaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23868 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:11,nodes:12,pairs:1,completionMax:6us [11m12s] 23868 ab:ab=a,ababaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23868 ab:ab=a,ababaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23869 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:16,nodes:10,pairs:1,completionMax:4us [11m12s] 23869 ab:ab=a,ababaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23869 ab:ab=a,ababaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23870 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:15,nodes:10,pairs:1,completionMax:7us [11m12s] 23870 ab:ab=a,ababaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23870 ab:ab=a,ababaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23871 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:5us [11m12s] 23871 ab:ab=a,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23871 ab:ab=a,ababaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23872 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:14,nodes:10,pairs:1,completionMax:7us [11m12s] 23872 ab:ab=a,abababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23872 ab:ab=a,abababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23873 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:4us [11m12s] 23873 ab:ab=a,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23873 ab:ab=a,abababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23874 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:17,nodes:8,pairs:1,completionMax:4us [11m12s] 23874 ab:ab=a,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23874 ab:ab=a,abababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23875 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:20,nodes:6,pairs:1,completionMax:4us [11m12s] 23875 ab:ab=a,abababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23875 ab:ab=a,abababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23876 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:13,nodes:10,pairs:1,completionMax:4us [11m12s] 23876 ab:ab=a,ababbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23876 ab:ab=a,ababbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23877 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:17,nodes:8,pairs:1,completionMax:3us [11m12s] 23877 ab:ab=a,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23877 ab:ab=a,ababbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23878 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:16,nodes:8,pairs:1,completionMax:3us [11m12s] 23878 ab:ab=a,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23878 ab:ab=a,ababbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23879 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:19,nodes:6,pairs:1,completionMax:3us [11m12s] 23879 ab:ab=a,ababbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23879 ab:ab=a,ababbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23880 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:15,nodes:8,pairs:1,completionMax:4us [11m12s] 23880 ab:ab=a,ababbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23880 ab:ab=a,ababbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23881 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:18,nodes:6,pairs:1,completionMax:2us [11m12s] 23881 ab:ab=a,ababbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23881 ab:ab=a,ababbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23882 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:17,nodes:6,pairs:1,completionMax:4us [11m12s] 23882 ab:ab=a,ababbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23882 ab:ab=a,ababbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23883 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:19,nodes:4,pairs:1,completionMax:2us [11m12s] 23883 ab:ab=a,ababbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23883 ab:ab=a,ababbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23884 solved: rounds:1,rules:2,peak:3,longest:6,steps:2,word:0,work:10,nodes:12,pairs:1,completionMax:4us [11m12s] 23884 ab:ab=a,abbaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23884 ab:ab=a,abbaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23885 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:15,nodes:10,pairs:1,completionMax:6us [11m12s] 23885 ab:ab=a,abbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23885 ab:ab=a,abbaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23886 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:14,nodes:10,pairs:1,completionMax:4us [11m12s] 23886 ab:ab=a,abbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23886 ab:ab=a,abbaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23887 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:4us [11m12s] 23887 ab:ab=a,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23887 ab:ab=a,abbaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23888 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:13,nodes:10,pairs:1,completionMax:4us [11m12s] 23888 ab:ab=a,abbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23888 ab:ab=a,abbaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23889 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:17,nodes:8,pairs:1,completionMax:5us [11m12s] 23889 ab:ab=a,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23889 ab:ab=a,abbaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23890 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:16,nodes:8,pairs:1,completionMax:6us [11m12s] 23890 ab:ab=a,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23890 ab:ab=a,abbaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23891 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:19,nodes:6,pairs:1,completionMax:3us [11m12s] 23891 ab:ab=a,abbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23891 ab:ab=a,abbaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23892 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:12,nodes:10,pairs:1,completionMax:8us [11m12s] 23892 ab:ab=a,abbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23892 ab:ab=a,abbabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23893 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:16,nodes:8,pairs:1,completionMax:4us [11m12s] 23893 ab:ab=a,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23893 ab:ab=a,abbabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23894 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:15,nodes:8,pairs:1,completionMax:4us [11m12s] 23894 ab:ab=a,abbababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23894 ab:ab=a,abbababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23895 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:18,nodes:6,pairs:1,completionMax:4us [11m12s] 23895 ab:ab=a,abbababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23895 ab:ab=a,abbababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23896 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:14,nodes:8,pairs:1,completionMax:7us [11m12s] 23896 ab:ab=a,abbabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23896 ab:ab=a,abbabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23897 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:17,nodes:6,pairs:1,completionMax:5us [11m12s] 23897 ab:ab=a,abbabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23897 ab:ab=a,abbabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23898 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:16,nodes:6,pairs:1,completionMax:3us [11m12s] 23898 ab:ab=a,abbabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23898 ab:ab=a,abbabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23899 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:18,nodes:4,pairs:1,completionMax:5us [11m12s] 23899 ab:ab=a,abbabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23899 ab:ab=a,abbabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23900 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:11,nodes:10,pairs:1,completionMax:6us [11m12s] 23900 ab:ab=a,abbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23900 ab:ab=a,abbbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23901 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:15,nodes:8,pairs:1,completionMax:3us [11m12s] 23901 ab:ab=a,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23901 ab:ab=a,abbbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23902 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:14,nodes:8,pairs:1,completionMax:4us [11m12s] 23902 ab:ab=a,abbbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23902 ab:ab=a,abbbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23903 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:17,nodes:6,pairs:1,completionMax:2us [11m12s] 23903 ab:ab=a,abbbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23903 ab:ab=a,abbbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23904 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:13,nodes:8,pairs:1,completionMax:2us [11m12s] 23904 ab:ab=a,abbbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23904 ab:ab=a,abbbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23905 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:16,nodes:6,pairs:1,completionMax:6us [11m12s] 23905 ab:ab=a,abbbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23905 ab:ab=a,abbbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23906 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:15,nodes:6,pairs:1,completionMax:3us [11m12s] 23906 ab:ab=a,abbbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23906 ab:ab=a,abbbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23907 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:17,nodes:4,pairs:1,completionMax:2us [11m12s] 23907 ab:ab=a,abbbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23907 ab:ab=a,abbbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23908 solved: rounds:1,rules:2,peak:3,longest:4,steps:4,word:0,work:12,nodes:8,pairs:1,completionMax:4us [11m12s] 23908 ab:ab=a,abbbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23908 ab:ab=a,abbbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23909 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:15,nodes:6,pairs:1,completionMax:4us [11m12s] 23909 ab:ab=a,abbbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23909 ab:ab=a,abbbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23910 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 23910 ab:ab=a,abbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23910 ab:ab=a,abbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23911 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:16,nodes:4,pairs:1,completionMax:2us [11m12s] 23911 ab:ab=a,abbbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23911 ab:ab=a,abbbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23912 solved: rounds:1,rules:2,peak:3,longest:3,steps:5,word:0,work:13,nodes:6,pairs:1,completionMax:5us [11m12s] 23912 ab:ab=a,abbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23912 ab:ab=a,abbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23913 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:15,nodes:4,pairs:1,completionMax:5us [11m12s] 23913 ab:ab=a,abbbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23913 ab:ab=a,abbbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23914 solved: rounds:1,rules:2,peak:3,longest:2,steps:6,word:0,work:14,nodes:4,pairs:1,completionMax:4us [11m12s] 23914 ab:ab=a,abbbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23914 ab:ab=a,abbbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23915 solved: rounds:1,rules:2,peak:2,longest:2,steps:7,word:0,work:15,nodes:4,pairs:1,completionMax:3us [11m12s] 23915 ab:ab=a,abbbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 23915 ab:ab=a,abbbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 23916 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:0,work:69,nodes:30,pairs:3,completionMax:35us [11m12s] 23916 ab:ab=a,baaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 ab - - ab:b=1,aaaaaaa=1 [11m12s] from: 23916 ab:ab=a,baaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b=1,a7=1;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-1 to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=b,b=1 [11m12s] # 23917 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:68,nodes:26,pairs:3,completionMax:23us [11m12s] 23917 ab:ab=a,baaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23917 ab:ab=a,baaaaaab=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23918 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:67,nodes:26,pairs:3,completionMax:24us [11m12s] 23918 ab:ab=a,baaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23918 ab:ab=a,baaaaaba=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23919 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:65,nodes:22,pairs:3,completionMax:15us [11m12s] 23919 ab:ab=a,baaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23919 ab:ab=a,baaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23920 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:66,nodes:26,pairs:3,completionMax:24us [11m12s] 23920 ab:ab=a,baaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23920 ab:ab=a,baaaabaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23921 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:64,nodes:22,pairs:3,completionMax:16us [11m12s] 23921 ab:ab=a,baaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23921 ab:ab=a,baaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23922 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:63,nodes:22,pairs:3,completionMax:23us [11m12s] 23922 ab:ab=a,baaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23922 ab:ab=a,baaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23923 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:60,nodes:18,pairs:3,completionMax:16us [11m12s] 23923 ab:ab=a,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23923 ab:ab=a,baaaabbb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23924 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:65,nodes:26,pairs:3,completionMax:22us [11m12s] 23924 ab:ab=a,baaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23924 ab:ab=a,baaabaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23925 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:63,nodes:22,pairs:3,completionMax:14us [11m12s] 23925 ab:ab=a,baaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23925 ab:ab=a,baaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23926 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:62,nodes:22,pairs:3,completionMax:12us [11m12s] 23926 ab:ab=a,baaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23926 ab:ab=a,baaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23927 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:59,nodes:18,pairs:3,completionMax:14us [11m12s] 23927 ab:ab=a,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23927 ab:ab=a,baaababb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23928 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:61,nodes:22,pairs:3,completionMax:19us [11m12s] 23928 ab:ab=a,baaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23928 ab:ab=a,baaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23929 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:58,nodes:18,pairs:3,completionMax:10us [11m12s] 23929 ab:ab=a,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23929 ab:ab=a,baaabbab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23930 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:57,nodes:18,pairs:3,completionMax:19us [11m12s] 23930 ab:ab=a,baaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23930 ab:ab=a,baaabbba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23931 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:53,nodes:14,pairs:3,completionMax:14us [11m12s] 23931 ab:ab=a,baaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23931 ab:ab=a,baaabbbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23932 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:64,nodes:26,pairs:3,completionMax:20us [11m12s] 23932 ab:ab=a,baabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23932 ab:ab=a,baabaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23933 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:62,nodes:22,pairs:3,completionMax:14us [11m12s] 23933 ab:ab=a,baabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23933 ab:ab=a,baabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23934 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:61,nodes:22,pairs:3,completionMax:12us [11m12s] 23934 ab:ab=a,baabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23934 ab:ab=a,baabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23935 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:58,nodes:18,pairs:3,completionMax:12us [11m12s] 23935 ab:ab=a,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23935 ab:ab=a,baabaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23936 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:22,pairs:3,completionMax:14us [11m12s] 23936 ab:ab=a,baababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23936 ab:ab=a,baababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23937 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:57,nodes:18,pairs:3,completionMax:22us [11m12s] 23937 ab:ab=a,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23937 ab:ab=a,baababab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23938 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:56,nodes:18,pairs:3,completionMax:11us [11m12s] 23938 ab:ab=a,baababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23938 ab:ab=a,baababba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23939 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:52,nodes:14,pairs:3,completionMax:15us [11m12s] 23939 ab:ab=a,baababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23939 ab:ab=a,baababbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23940 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:59,nodes:22,pairs:3,completionMax:24us [11m12s] 23940 ab:ab=a,baabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23940 ab:ab=a,baabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23941 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:56,nodes:18,pairs:3,completionMax:15us [11m12s] 23941 ab:ab=a,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23941 ab:ab=a,baabbaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23942 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:55,nodes:18,pairs:3,completionMax:22us [11m12s] 23942 ab:ab=a,baabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23942 ab:ab=a,baabbaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23943 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:51,nodes:14,pairs:3,completionMax:15us [11m12s] 23943 ab:ab=a,baabbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23943 ab:ab=a,baabbabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23944 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:54,nodes:18,pairs:3,completionMax:12us [11m12s] 23944 ab:ab=a,baabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23944 ab:ab=a,baabbbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23945 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:50,nodes:14,pairs:3,completionMax:18us [11m12s] 23945 ab:ab=a,baabbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23945 ab:ab=a,baabbbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23946 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:49,nodes:14,pairs:3,completionMax:11us [11m12s] 23946 ab:ab=a,baabbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23946 ab:ab=a,baabbbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23947 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:44,nodes:10,pairs:3,completionMax:9us [11m12s] 23947 ab:ab=a,baabbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23947 ab:ab=a,baabbbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23948 solved: rounds:2,rules:2,peak:4,longest:7,steps:1,word:0,work:63,nodes:26,pairs:3,completionMax:27us [11m12s] 23948 ab:ab=a,babaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23948 ab:ab=a,babaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23949 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:61,nodes:22,pairs:3,completionMax:16us [11m12s] 23949 ab:ab=a,babaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23949 ab:ab=a,babaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23950 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:60,nodes:22,pairs:3,completionMax:18us [11m12s] 23950 ab:ab=a,babaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23950 ab:ab=a,babaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23951 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:57,nodes:18,pairs:3,completionMax:13us [11m12s] 23951 ab:ab=a,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23951 ab:ab=a,babaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23952 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:59,nodes:22,pairs:3,completionMax:22us [11m12s] 23952 ab:ab=a,babaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23952 ab:ab=a,babaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23953 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:56,nodes:18,pairs:3,completionMax:15us [11m12s] 23953 ab:ab=a,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23953 ab:ab=a,babaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23954 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:55,nodes:18,pairs:3,completionMax:13us [11m12s] 23954 ab:ab=a,babaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23954 ab:ab=a,babaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23955 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:51,nodes:14,pairs:3,completionMax:12us [11m12s] 23955 ab:ab=a,babaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23955 ab:ab=a,babaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23956 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:58,nodes:22,pairs:3,completionMax:13us [11m12s] 23956 ab:ab=a,bababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23956 ab:ab=a,bababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23957 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:55,nodes:18,pairs:3,completionMax:13us [11m12s] 23957 ab:ab=a,bababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23957 ab:ab=a,bababaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23958 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:54,nodes:18,pairs:3,completionMax:11us [11m12s] 23958 ab:ab=a,babababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23958 ab:ab=a,babababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23959 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:50,nodes:14,pairs:3,completionMax:8us [11m12s] 23959 ab:ab=a,babababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23959 ab:ab=a,babababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23960 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:53,nodes:18,pairs:3,completionMax:15us [11m12s] 23960 ab:ab=a,bababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23960 ab:ab=a,bababbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23961 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:49,nodes:14,pairs:3,completionMax:9us [11m12s] 23961 ab:ab=a,bababbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23961 ab:ab=a,bababbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23962 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:48,nodes:14,pairs:3,completionMax:14us [11m12s] 23962 ab:ab=a,bababbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23962 ab:ab=a,bababbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23963 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:43,nodes:10,pairs:3,completionMax:12us [11m12s] 23963 ab:ab=a,bababbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23963 ab:ab=a,bababbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23964 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:57,nodes:22,pairs:3,completionMax:23us [11m12s] 23964 ab:ab=a,babbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23964 ab:ab=a,babbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23965 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:54,nodes:18,pairs:3,completionMax:16us [11m12s] 23965 ab:ab=a,babbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23965 ab:ab=a,babbaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23966 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:53,nodes:18,pairs:3,completionMax:14us [11m12s] 23966 ab:ab=a,babbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23966 ab:ab=a,babbaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23967 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:49,nodes:14,pairs:3,completionMax:13us [11m12s] 23967 ab:ab=a,babbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23967 ab:ab=a,babbaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23968 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:52,nodes:18,pairs:3,completionMax:15us [11m12s] 23968 ab:ab=a,babbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23968 ab:ab=a,babbabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23969 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:48,nodes:14,pairs:3,completionMax:11us [11m12s] 23969 ab:ab=a,babbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23969 ab:ab=a,babbabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23970 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:47,nodes:14,pairs:3,completionMax:13us [11m12s] 23970 ab:ab=a,babbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23970 ab:ab=a,babbabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23971 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:42,nodes:10,pairs:3,completionMax:8us [11m12s] 23971 ab:ab=a,babbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23971 ab:ab=a,babbabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23972 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:51,nodes:18,pairs:3,completionMax:20us [11m12s] 23972 ab:ab=a,babbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23972 ab:ab=a,babbbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23973 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:47,nodes:14,pairs:3,completionMax:17us [11m12s] 23973 ab:ab=a,babbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23973 ab:ab=a,babbbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23974 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:46,nodes:14,pairs:3,completionMax:13us [11m12s] 23974 ab:ab=a,babbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23974 ab:ab=a,babbbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23975 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:41,nodes:10,pairs:3,completionMax:12us [11m12s] 23975 ab:ab=a,babbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23975 ab:ab=a,babbbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23976 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:45,nodes:14,pairs:3,completionMax:12us [11m12s] 23976 ab:ab=a,babbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23976 ab:ab=a,babbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23977 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:40,nodes:10,pairs:3,completionMax:9us [11m12s] 23977 ab:ab=a,babbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23977 ab:ab=a,babbbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23978 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:39,nodes:10,pairs:3,completionMax:10us [11m12s] 23978 ab:ab=a,babbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23978 ab:ab=a,babbbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23979 solved: rounds:2,rules:2,peak:4,longest:2,steps:6,word:0,work:32,nodes:6,pairs:3,completionMax:12us [11m12s] 23979 ab:ab=a,babbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 23979 ab:ab=a,babbbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 23980 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:0,work:77,nodes:28,pairs:4,completionMax:30us [11m12s] 23980 ab:ab=a,bbaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 ab - - ab:b=1,aaaaaa=1 [11m12s] from: 23980 ab:ab=a,bbaaaaaa=1 finite:6;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b=1,a6=1;saturation:a:a6=1;cancellative;smith:6;group:a-aaaaa,b-1 to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=b,b=1 [11m12s] # 23981 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:74,nodes:24,pairs:4,completionMax:21us [11m12s] 23981 ab:ab=a,bbaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23981 ab:ab=a,bbaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23982 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:73,nodes:24,pairs:4,completionMax:26us [11m12s] 23982 ab:ab=a,bbaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23982 ab:ab=a,bbaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23983 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:69,nodes:20,pairs:4,completionMax:15us [11m12s] 23983 ab:ab=a,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23983 ab:ab=a,bbaaaabb=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23984 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:72,nodes:24,pairs:4,completionMax:19us [11m12s] 23984 ab:ab=a,bbaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23984 ab:ab=a,bbaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23985 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:68,nodes:20,pairs:4,completionMax:17us [11m12s] 23985 ab:ab=a,bbaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23985 ab:ab=a,bbaaabab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23986 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:67,nodes:20,pairs:4,completionMax:15us [11m12s] 23986 ab:ab=a,bbaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23986 ab:ab=a,bbaaabba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23987 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:62,nodes:16,pairs:4,completionMax:14us [11m12s] 23987 ab:ab=a,bbaaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23987 ab:ab=a,bbaaabbb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23988 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:71,nodes:24,pairs:4,completionMax:20us [11m12s] 23988 ab:ab=a,bbaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23988 ab:ab=a,bbaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23989 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:67,nodes:20,pairs:4,completionMax:16us [11m12s] 23989 ab:ab=a,bbaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23989 ab:ab=a,bbaabaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23990 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:66,nodes:20,pairs:4,completionMax:26us [11m12s] 23990 ab:ab=a,bbaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23990 ab:ab=a,bbaababa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23991 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:61,nodes:16,pairs:4,completionMax:16us [11m12s] 23991 ab:ab=a,bbaababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23991 ab:ab=a,bbaababb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23992 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:65,nodes:20,pairs:4,completionMax:20us [11m12s] 23992 ab:ab=a,bbaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23992 ab:ab=a,bbaabbaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23993 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:60,nodes:16,pairs:4,completionMax:13us [11m12s] 23993 ab:ab=a,bbaabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23993 ab:ab=a,bbaabbab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23994 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:59,nodes:16,pairs:4,completionMax:11us [11m12s] 23994 ab:ab=a,bbaabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23994 ab:ab=a,bbaabbba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 23995 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:53,nodes:12,pairs:4,completionMax:10us [11m12s] 23995 ab:ab=a,bbaabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 23995 ab:ab=a,bbaabbbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 23996 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:70,nodes:24,pairs:4,completionMax:20us [11m12s] 23996 ab:ab=a,bbabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 23996 ab:ab=a,bbabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 23997 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:66,nodes:20,pairs:4,completionMax:15us [11m12s] 23997 ab:ab=a,bbabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23997 ab:ab=a,bbabaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23998 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:65,nodes:20,pairs:4,completionMax:18us [11m12s] 23998 ab:ab=a,bbabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 23998 ab:ab=a,bbabaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 23999 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:60,nodes:16,pairs:4,completionMax:10us [11m12s] 23999 ab:ab=a,bbabaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 23999 ab:ab=a,bbabaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24000 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:64,nodes:20,pairs:4,completionMax:24us [11m12s] 24000 ab:ab=a,bbababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24000 ab:ab=a,bbababaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24001 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:59,nodes:16,pairs:4,completionMax:15us [11m12s] 24001 ab:ab=a,bbababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24001 ab:ab=a,bbababab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24002 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:58,nodes:16,pairs:4,completionMax:14us [11m12s] 24002 ab:ab=a,bbababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24002 ab:ab=a,bbababba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24003 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:52,nodes:12,pairs:4,completionMax:16us [11m12s] 24003 ab:ab=a,bbababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24003 ab:ab=a,bbababbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24004 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:0,work:63,nodes:20,pairs:4,completionMax:23us [11m12s] 24004 ab:ab=a,bbabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24004 ab:ab=a,bbabbaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24005 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:58,nodes:16,pairs:4,completionMax:19us [11m12s] 24005 ab:ab=a,bbabbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24005 ab:ab=a,bbabbaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24006 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:57,nodes:16,pairs:4,completionMax:14us [11m12s] 24006 ab:ab=a,bbabbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24006 ab:ab=a,bbabbaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24007 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:51,nodes:12,pairs:4,completionMax:11us [11m12s] 24007 ab:ab=a,bbabbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24007 ab:ab=a,bbabbabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24008 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:56,nodes:16,pairs:4,completionMax:13us [11m12s] 24008 ab:ab=a,bbabbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24008 ab:ab=a,bbabbbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24009 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:50,nodes:12,pairs:4,completionMax:10us [11m12s] 24009 ab:ab=a,bbabbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24009 ab:ab=a,bbabbbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24010 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:49,nodes:12,pairs:4,completionMax:17us [11m12s] 24010 ab:ab=a,bbabbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24010 ab:ab=a,bbabbbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24011 solved: rounds:2,rules:2,peak:4,longest:3,steps:5,word:0,work:41,nodes:8,pairs:4,completionMax:9us [11m12s] 24011 ab:ab=a,bbabbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24011 ab:ab=a,bbabbbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24012 solved: rounds:2,rules:2,peak:4,longest:8,steps:3,word:0,work:83,nodes:26,pairs:5,completionMax:20us [11m12s] 24012 ab:ab=a,bbbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 ab - - ab:b=1,aaaaa=1 [11m12s] from: 24012 ab:ab=a,bbbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b=1,a5=1;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-1 to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=b,b=1 [11m12s] # 24013 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:78,nodes:22,pairs:5,completionMax:15us [11m12s] 24013 ab:ab=a,bbbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24013 ab:ab=a,bbbaaaab=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24014 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:77,nodes:22,pairs:5,completionMax:21us [11m12s] 24014 ab:ab=a,bbbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24014 ab:ab=a,bbbaaaba=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24015 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:71,nodes:18,pairs:5,completionMax:12us [11m12s] 24015 ab:ab=a,bbbaaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24015 ab:ab=a,bbbaaabb=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24016 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:76,nodes:22,pairs:5,completionMax:15us [11m12s] 24016 ab:ab=a,bbbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24016 ab:ab=a,bbbaabaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24017 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:70,nodes:18,pairs:5,completionMax:12us [11m12s] 24017 ab:ab=a,bbbaabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24017 ab:ab=a,bbbaabab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24018 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:69,nodes:18,pairs:5,completionMax:12us [11m12s] 24018 ab:ab=a,bbbaabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24018 ab:ab=a,bbbaabba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24019 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:62,nodes:14,pairs:5,completionMax:11us [11m12s] 24019 ab:ab=a,bbbaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24019 ab:ab=a,bbbaabbb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24020 solved: rounds:2,rules:2,peak:4,longest:7,steps:3,word:0,work:75,nodes:22,pairs:5,completionMax:22us [11m12s] 24020 ab:ab=a,bbbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24020 ab:ab=a,bbbabaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24021 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:69,nodes:18,pairs:5,completionMax:17us [11m12s] 24021 ab:ab=a,bbbabaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24021 ab:ab=a,bbbabaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24022 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:68,nodes:18,pairs:5,completionMax:16us [11m12s] 24022 ab:ab=a,bbbababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24022 ab:ab=a,bbbababa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24023 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:61,nodes:14,pairs:5,completionMax:10us [11m12s] 24023 ab:ab=a,bbbababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24023 ab:ab=a,bbbababb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24024 solved: rounds:2,rules:2,peak:4,longest:6,steps:3,word:0,work:67,nodes:18,pairs:5,completionMax:14us [11m12s] 24024 ab:ab=a,bbbabbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24024 ab:ab=a,bbbabbaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24025 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:60,nodes:14,pairs:5,completionMax:12us [11m12s] 24025 ab:ab=a,bbbabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24025 ab:ab=a,bbbabbab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24026 solved: rounds:2,rules:2,peak:4,longest:5,steps:3,word:0,work:59,nodes:14,pairs:5,completionMax:9us [11m12s] 24026 ab:ab=a,bbbabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24026 ab:ab=a,bbbabbba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24027 solved: rounds:2,rules:2,peak:4,longest:4,steps:4,word:0,work:50,nodes:10,pairs:5,completionMax:8us [11m12s] 24027 ab:ab=a,bbbabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24027 ab:ab=a,bbbabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24028 solved: rounds:2,rules:2,peak:4,longest:8,steps:4,word:0,work:87,nodes:24,pairs:6,completionMax:32us [11m12s] 24028 ab:ab=a,bbbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 ab - - ab:b=1,aaaa=1 [11m12s] from: 24028 ab:ab=a,bbbbaaaa=1 finite:4;center:1,a,aa,aaa;commutative:ab:b=1,a4=1;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-1 to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=a,b=1 [11m12s] # 24029 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:80,nodes:20,pairs:6,completionMax:16us [11m12s] 24029 ab:ab=a,bbbbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24029 ab:ab=a,bbbbaaab=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24030 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:79,nodes:20,pairs:6,completionMax:24us [11m12s] 24030 ab:ab=a,bbbbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24030 ab:ab=a,bbbbaaba=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24031 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:71,nodes:16,pairs:6,completionMax:15us [11m12s] 24031 ab:ab=a,bbbbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24031 ab:ab=a,bbbbaabb=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24032 solved: rounds:2,rules:2,peak:4,longest:7,steps:4,word:0,work:78,nodes:20,pairs:6,completionMax:21us [11m12s] 24032 ab:ab=a,bbbbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24032 ab:ab=a,bbbbabaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24033 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:70,nodes:16,pairs:6,completionMax:13us [11m12s] 24033 ab:ab=a,bbbbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24033 ab:ab=a,bbbbabab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24034 solved: rounds:2,rules:2,peak:4,longest:6,steps:4,word:0,work:69,nodes:16,pairs:6,completionMax:11us [11m12s] 24034 ab:ab=a,bbbbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24034 ab:ab=a,bbbbabba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24035 solved: rounds:2,rules:2,peak:4,longest:5,steps:4,word:0,work:59,nodes:12,pairs:6,completionMax:11us [11m12s] 24035 ab:ab=a,bbbbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24035 ab:ab=a,bbbbabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24036 solved: rounds:2,rules:2,peak:4,longest:8,steps:5,word:0,work:89,nodes:22,pairs:7,completionMax:17us [11m12s] 24036 ab:ab=a,bbbbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 ab - - ab:b=1,aaa=1 [11m12s] from: 24036 ab:ab=a,bbbbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b=1,a3=1;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-1 to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=b,b=1 [11m12s] # 24037 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:0,work:80,nodes:18,pairs:7,completionMax:16us [11m12s] 24037 ab:ab=a,bbbbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24037 ab:ab=a,bbbbbaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24038 solved: rounds:2,rules:2,peak:4,longest:7,steps:5,word:0,work:79,nodes:18,pairs:7,completionMax:16us [11m12s] 24038 ab:ab=a,bbbbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24038 ab:ab=a,bbbbbaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24039 solved: rounds:2,rules:2,peak:4,longest:6,steps:5,word:0,work:68,nodes:14,pairs:7,completionMax:13us [11m12s] 24039 ab:ab=a,bbbbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24039 ab:ab=a,bbbbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24040 solved: rounds:2,rules:2,peak:4,longest:8,steps:6,word:0,work:89,nodes:20,pairs:8,completionMax:20us [11m12s] 24040 ab:ab=a,bbbbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 24040 ab:ab=a,bbbbbbaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 24041 solved: rounds:2,rules:2,peak:4,longest:7,steps:6,word:0,work:77,nodes:16,pairs:8,completionMax:18us [11m12s] 24041 ab:ab=a,bbbbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24041 ab:ab=a,bbbbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24042 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:0,work:86,nodes:18,pairs:9,completionMax:17us [11m12s] 24042 ab:ab=a,bbbbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 24042 ab:ab=a,bbbbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 24043 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:0,work:14,nodes:18,pairs:0,completionMax:5us [11m12s] 24043 ab:ab=a,bbbbbbbb=1 infinite ab - - ab:ab=a,bbbbbbbb=1 [11m12s] # 24044 solved: rounds:0,rules:1,peak:1,longest:2,steps:6,word:0,work:16,nodes:4,pairs:0,completionMax:1us [11m12s] 24044 ab:aa=a,aaaaaaa=a infinite ab - - ab:aa=a [11m12s] from: 24044 ab:aa=a,aaaaaaa=a infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 24045 solved: rounds:0,rules:2,peak:2,longest:2,steps:6,word:0,work:16,nodes:4,pairs:0,completionMax:1us [11m12s] 24045 ab:aa=a,aaaaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m12s] from: 24045 ab:aa=a,aaaaaaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m12s] # 24046 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:1us [11m12s] 24046 ab:aa=a,aaaaaab=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24046 ab:aa=a,aaaaaab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24047 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 24047 ab:aa=a,aaaaaab=b infinite ab - - ab:aa=a,ab=b [11m12s] from: 24047 ab:aa=a,aaaaaab=b infinite to: 56 ab:aa=a,ab=b infinite a=a,b=b [11m12s] # 24048 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:28,nodes:6,pairs:0,completionMax:2us [11m12s] 24048 ab:aa=a,aaaaaba=a infinite ab - - ab:aa=a,aba=a [11m12s] from: 24048 ab:aa=a,aaaaaba=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 24049 solved: rounds:1,rules:3,peak:4,longest:3,steps:4,word:0,work:44,nodes:8,pairs:3,completionMax:11us [11m12s] 24049 ab:aa=a,aaaaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [11m12s] from: 24049 ab:aa=a,aaaaaba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [11m12s] # 24050 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m12s] 24050 ab:aa=a,aaaaabb=a infinite ab - - ab:aa=a,abb=a [11m12s] from: 24050 ab:aa=a,aaaaabb=a infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [11m12s] # 24051 solved: rounds:2,rules:3,peak:3,longest:3,steps:4,word:0,work:27,nodes:6,pairs:2,completionMax:7us [11m12s] 24051 ab:aa=a,aaaaabb=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [11m12s] from: 24051 ab:aa=a,aaaaabb=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [11m12s] # 24052 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:30,nodes:6,pairs:0,completionMax:3us [11m12s] 24052 ab:aa=a,aaaabaa=a infinite ab - - ab:aa=a,aba=a [11m12s] from: 24052 ab:aa=a,aaaabaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 24053 solved: rounds:1,rules:3,peak:4,longest:3,steps:4,word:0,work:46,nodes:8,pairs:3,completionMax:8us [11m12s] 24053 ab:aa=a,aaaabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [11m12s] from: 24053 ab:aa=a,aaaabaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [11m12s] # 24054 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:67,nodes:8,pairs:5,completionMax:10us [11m12s] 24054 ab:aa=a,aaaabab=a infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24054 ab:aa=a,aaaabab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24055 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:38,nodes:8,pairs:4,completionMax:6us [11m12s] 24055 ab:aa=a,aaaabab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [11m12s] from: 24055 ab:aa=a,aaaabab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [11m12s] # 24056 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:30,nodes:8,pairs:0,completionMax:2us [11m12s] 24056 ab:aa=a,aaaabba=a infinite ab - - ab:aa=a,abba=a [11m12s] from: 24056 ab:aa=a,aaaabba=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 24057 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:73,nodes:10,pairs:7,completionMax:10us [11m12s] 24057 ab:aa=a,aaaabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24057 ab:aa=a,aaaabba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24058 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:8,pairs:0,completionMax:1us [11m12s] 24058 ab:aa=a,aaaabbb=a infinite ab - - ab:aa=a,abbb=a [11m12s] from: 24058 ab:aa=a,aaaabbb=a infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [11m12s] # 24059 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:29,nodes:8,pairs:2,completionMax:12us [11m12s] 24059 ab:aa=a,aaaabbb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24059 ab:aa=a,aaaabbb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24060 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:32,nodes:6,pairs:0,completionMax:4us [11m12s] 24060 ab:aa=a,aaabaaa=a infinite ab - - ab:aa=a,aba=a [11m12s] from: 24060 ab:aa=a,aaabaaa=a infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 24061 solved: rounds:1,rules:3,peak:4,longest:3,steps:4,word:0,work:48,nodes:8,pairs:3,completionMax:9us [11m12s] 24061 ab:aa=a,aaabaaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 ab - - ab:aa=a,ab=b,ba=b [11m12s] from: 24061 ab:aa=a,aaabaaa=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 to: 240 ab:aa=a,aba=b infinite;commutative:ab:a2=a,ab=b;saturation:a:;noncancellative:a,1,b,b;smith:0 a=a,b=b [11m12s] # 24062 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:69,nodes:8,pairs:5,completionMax:12us [11m12s] 24062 ab:aa=a,aaabaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24062 ab:aa=a,aaabaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24063 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:40,nodes:8,pairs:4,completionMax:9us [11m12s] 24063 ab:aa=a,aaabaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [11m12s] from: 24063 ab:aa=a,aaabaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [11m12s] # 24064 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:3us [11m12s] 24064 ab:aa=a,aaababa=a infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24064 ab:aa=a,aaababa=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24065 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:106,nodes:12,pairs:10,completionMax:17us [11m12s] 24065 ab:aa=a,aaababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24065 ab:aa=a,aaababa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24066 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 24066 ab:aa=a,aaababb=a infinite ab - - ab:aa=a,ababb=a [11m12s] from: 24066 ab:aa=a,aaababb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 24067 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:36,nodes:10,pairs:3,completionMax:8us [11m12s] 24067 ab:aa=a,aaababb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24067 ab:aa=a,aaababb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24068 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:33,nodes:8,pairs:0,completionMax:3us [11m12s] 24068 ab:aa=a,aaabbaa=a infinite ab - - ab:aa=a,abba=a [11m12s] from: 24068 ab:aa=a,aaabbaa=a infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 24069 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:76,nodes:10,pairs:7,completionMax:13us [11m12s] 24069 ab:aa=a,aaabbaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24069 ab:aa=a,aaabbaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24070 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:681,nodes:16,pairs:24,completionMax:49us [11m12s] 24070 ab:aa=a,aaabbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24070 ab:aa=a,aaabbab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24071 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:43,nodes:10,pairs:4,completionMax:9us [11m12s] 24071 ab:aa=a,aaabbab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24071 ab:aa=a,aaabbab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24072 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:3us [11m12s] 24072 ab:aa=a,aaabbba=a infinite ab - - ab:aa=a,abbba=a [11m12s] from: 24072 ab:aa=a,aaabbba=a infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [11m12s] # 24073 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:75,nodes:12,pairs:7,completionMax:17us [11m12s] 24073 ab:aa=a,aaabbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24073 ab:aa=a,aaabbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24074 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 24074 ab:aa=a,aaabbbb=a infinite ab - - ab:aa=a,abbbb=a [11m12s] from: 24074 ab:aa=a,aaabbbb=a infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [11m12s] # 24075 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:31,nodes:10,pairs:2,completionMax:9us [11m12s] 24075 ab:aa=a,aaabbbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24075 ab:aa=a,aaabbbb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24076 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:71,nodes:8,pairs:5,completionMax:17us [11m12s] 24076 ab:aa=a,aabaaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24076 ab:aa=a,aabaaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24077 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:42,nodes:8,pairs:4,completionMax:11us [11m12s] 24077 ab:aa=a,aabaaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [11m12s] from: 24077 ab:aa=a,aabaaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [11m12s] # 24078 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:34,nodes:10,pairs:0,completionMax:4us [11m12s] 24078 ab:aa=a,aabaaba=a infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24078 ab:aa=a,aabaaba=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24079 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:108,nodes:12,pairs:10,completionMax:22us [11m12s] 24079 ab:aa=a,aabaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24079 ab:aa=a,aabaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24080 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:17,nodes:10,pairs:0,completionMax:3us [11m12s] 24080 ab:aa=a,aabaabb=a infinite ab - - ab:aa=a,ababb=a [11m12s] from: 24080 ab:aa=a,aabaabb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 24081 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:38,nodes:10,pairs:3,completionMax:13us [11m12s] 24081 ab:aa=a,aabaabb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24081 ab:aa=a,aabaabb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24082 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:36,nodes:10,pairs:0,completionMax:5us [11m12s] 24082 ab:aa=a,aababaa=a infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24082 ab:aa=a,aababaa=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24083 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:110,nodes:12,pairs:10,completionMax:20us [11m12s] 24083 ab:aa=a,aababaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24083 ab:aa=a,aababaa=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24084 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:187,nodes:14,pairs:11,completionMax:28us [11m12s] 24084 ab:aa=a,aababab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24084 ab:aa=a,aababab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24085 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:68,nodes:12,pairs:6,completionMax:14us [11m12s] 24085 ab:aa=a,aababab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24085 ab:aa=a,aababab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24086 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:3us [11m12s] 24086 ab:aa=a,aababba=a infinite ab - - ab:aa=a,ababba=a [11m12s] from: 24086 ab:aa=a,aababba=a infinite to: 8606 ab:aa=a,ababba=a infinite a=a,b=b [11m12s] # 24087 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:107,nodes:14,pairs:9,completionMax:19us [11m12s] 24087 ab:aa=a,aababba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24087 ab:aa=a,aababba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24088 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m12s] 24088 ab:aa=a,aababbb=a infinite ab - - ab:aa=a,ababbb=a [11m12s] from: 24088 ab:aa=a,aababbb=a infinite to: 8608 ab:aa=a,ababbb=a infinite a=a,b=b [11m12s] # 24089 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:39,nodes:12,pairs:3,completionMax:9us [11m12s] 24089 ab:aa=a,aababbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24089 ab:aa=a,aababbb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24090 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:684,nodes:16,pairs:24,completionMax:65us [11m12s] 24090 ab:aa=a,aabbaab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24090 ab:aa=a,aabbaab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24091 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:46,nodes:10,pairs:4,completionMax:11us [11m12s] 24091 ab:aa=a,aabbaab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24091 ab:aa=a,aabbaab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24092 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:4us [11m12s] 24092 ab:aa=a,aabbaba=a infinite ab - - ab:aa=a,abbaba=a [11m12s] from: 24092 ab:aa=a,aabbaba=a infinite to: 8606 ab:aa=a,ababba=a infinite anti:a=a,b=b [11m12s] # 24093 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:113,nodes:14,pairs:9,completionMax:18us [11m12s] 24093 ab:aa=a,aabbaba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24093 ab:aa=a,aabbaba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24094 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:84,nodes:12,pairs:5,completionMax:16us [11m12s] 24094 ab:aa=a,aabbabb=a infinite ab - - ab:aa=a,abba=abb,abbbb=a [11m12s] from: 24094 ab:aa=a,aabbabb=a infinite to: 8612 ab:aa=a,abbabb=a infinite a=a,b=b [11m12s] # 24095 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:45,nodes:12,pairs:4,completionMax:12us [11m12s] 24095 ab:aa=a,aabbabb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24095 ab:aa=a,aabbabb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24096 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:36,nodes:10,pairs:0,completionMax:6us [11m12s] 24096 ab:aa=a,aabbbaa=a infinite ab - - ab:aa=a,abbba=a [11m12s] from: 24096 ab:aa=a,aabbbaa=a infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [11m12s] # 24097 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:79,nodes:12,pairs:7,completionMax:21us [11m12s] 24097 ab:aa=a,aabbbaa=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24097 ab:aa=a,aabbbaa=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24098 solved: rounds:3,rules:5,peak:7,longest:9,steps:4,word:0,work:1180,nodes:26,pairs:32,completionMax:114us [11m12s] 24098 ab:aa=a,aabbbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [11m12s] from: 24098 ab:aa=a,aabbbab=a infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [11m12s] # 24099 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:48,nodes:12,pairs:4,completionMax:15us [11m12s] 24099 ab:aa=a,aabbbab=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24099 ab:aa=a,aabbbab=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24100 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:4us [11m12s] 24100 ab:aa=a,aabbbba=a infinite ab - - ab:aa=a,abbbba=a [11m12s] from: 24100 ab:aa=a,aabbbba=a infinite to: 8616 ab:aa=a,abbbba=a infinite a=a,b=b [11m12s] # 24101 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:85,nodes:14,pairs:7,completionMax:19us [11m12s] 24101 ab:aa=a,aabbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:aa=a,ab=b,ba=b,bbbb=b [11m12s] from: 24101 ab:aa=a,aabbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 to: 8617 ab:aa=a,abbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 a=a,b=b [11m12s] # 24102 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [11m12s] 24102 ab:aa=a,aabbbbb=a infinite ab - - ab:aa=a,abbbbb=a [11m12s] from: 24102 ab:aa=a,aabbbbb=a infinite to: 8618 ab:aa=a,abbbbb=a infinite a=a,b=b [11m12s] # 24103 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:33,nodes:12,pairs:2,completionMax:10us [11m12s] 24103 ab:aa=a,aabbbbb=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [11m12s] from: 24103 ab:aa=a,aabbbbb=b finite:10;idempotents:1,a,bbbb,bbbba to: 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 24104 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:73,nodes:8,pairs:5,completionMax:14us [11m12s] 24104 ab:aa=a,abaaaab=a infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24104 ab:aa=a,abaaaab=a infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24105 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:44,nodes:8,pairs:4,completionMax:9us [11m12s] 24105 ab:aa=a,abaaaab=b finite:4;idempotents:1,a,b,ba ab - - ab:aa=a,ab=b,bb=b [11m12s] from: 24105 ab:aa=a,abaaaab=b finite:4;idempotents:1,a,b,ba to: 242 ab:aa=a,abb=b finite:4;idempotents:1,a,b,ba a=a,b=b [11m12s] # 24106 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:36,nodes:10,pairs:0,completionMax:4us [11m12s] 24106 ab:aa=a,abaaaba=a infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24106 ab:aa=a,abaaaba=a infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24107 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:110,nodes:12,pairs:10,completionMax:17us [11m12s] 24107 ab:aa=a,abaaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:aa=a,ab=b,ba=b,bb=b [11m12s] from: 24107 ab:aa=a,abaaaba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: to: 891 ab:aa=a,abba=b finite:3;idempotents:1,a,b;center:1,a,b;commutative:ab:b2=b,ab=b,a2=a;saturation::;noncancellative:b,1,b,b;smith: a=a,b=b [11m12s] # 24108 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:2us [11m12s] 24108 ab:aa=a,abaaabb=a infinite ab - - ab:aa=a,ababb=a [11m12s] from: 24108 ab:aa=a,abaaabb=a infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 24109 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:40,nodes:10,pairs:3,completionMax:8us [11m12s] 24109 ab:aa=a,abaaabb=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24109 ab:aa=a,abaaabb=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24110 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:189,nodes:14,pairs:11,completionMax:24us [11m12s] 24110 ab:aa=a,abaabab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24110 ab:aa=a,abaabab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24111 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:70,nodes:12,pairs:6,completionMax:14us [11m12s] 24111 ab:aa=a,abaabab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24111 ab:aa=a,abaabab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24112 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:12,pairs:0,completionMax:4us [11m12s] 24112 ab:aa=a,abaabba=a infinite ab - - ab:aa=a,ababba=a [11m12s] from: 24112 ab:aa=a,abaabba=a infinite to: 8606 ab:aa=a,ababba=a infinite a=a,b=b [11m12s] # 24113 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:109,nodes:14,pairs:9,completionMax:19us [11m12s] 24113 ab:aa=a,abaabba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24113 ab:aa=a,abaabba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24114 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [11m12s] 24114 ab:aa=a,abaabbb=a infinite ab - - ab:aa=a,ababbb=a [11m12s] from: 24114 ab:aa=a,abaabbb=a infinite to: 8608 ab:aa=a,ababbb=a infinite a=a,b=b [11m12s] # 24115 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:41,nodes:12,pairs:3,completionMax:10us [11m12s] 24115 ab:aa=a,abaabbb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24115 ab:aa=a,abaabbb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24116 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:191,nodes:14,pairs:11,completionMax:22us [11m12s] 24116 ab:aa=a,ababaab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24116 ab:aa=a,ababaab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24117 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:72,nodes:12,pairs:6,completionMax:12us [11m12s] 24117 ab:aa=a,ababaab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24117 ab:aa=a,ababaab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24118 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [11m12s] 24118 ab:aa=a,abababa=a infinite ab - - ab:aa=a,abababa=a [11m12s] # 24119 solved: rounds:2,rules:4,peak:4,longest:7,steps:3,word:0,work:171,nodes:16,pairs:13,completionMax:23us [11m12s] 24119 ab:aa=a,abababa=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 ab - - ab:aa=a,ab=b,ba=b,bbb=b [11m12s] from: 24119 ab:aa=a,abababa=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 to: 2881 ab:aa=a,abbba=b finite:4;idempotents:1,a,bb;center:1,a,b,bb;commutative:ab:a2=a,ab=b,b3=b;saturation:a:a2=1;noncancellative:a,1,b,b;smith:2 a=a,b=b [11m12s] # 24120 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:3us [11m12s] 24120 ab:aa=a,abababb=a infinite ab - - ab:aa=a,abababb=a [11m12s] # 24121 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:0,work:55,nodes:14,pairs:4,completionMax:9us [11m12s] 24121 ab:aa=a,abababb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24121 ab:aa=a,abababb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24122 solved: rounds:4,rules:5,peak:8,longest:10,steps:6,word:0,work:2197,nodes:32,pairs:44,completionMax:153us [11m12s] 24122 ab:aa=a,ababbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [11m12s] from: 24122 ab:aa=a,ababbab=a infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [11m12s] # 24123 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:0,work:70,nodes:14,pairs:5,completionMax:14us [11m12s] 24123 ab:aa=a,ababbab=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24123 ab:aa=a,ababbab=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24124 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [11m12s] 24124 ab:aa=a,ababbba=a infinite ab - - ab:aa=a,ababbba=a [11m12s] # 24125 solved: rounds:2,rules:4,peak:4,longest:7,steps:2,word:0,work:121,nodes:16,pairs:9,completionMax:21us [11m12s] 24125 ab:aa=a,ababbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:aa=a,ab=b,ba=b,bbbb=b [11m12s] from: 24125 ab:aa=a,ababbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 to: 8617 ab:aa=a,abbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 a=a,b=b [11m12s] # 24126 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:2us [11m12s] 24126 ab:aa=a,ababbbb=a infinite ab - - ab:aa=a,ababbbb=a [11m12s] # 24127 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:0,work:42,nodes:14,pairs:3,completionMax:11us [11m12s] 24127 ab:aa=a,ababbbb=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [11m12s] from: 24127 ab:aa=a,ababbbb=b finite:10;idempotents:1,a,bbbb,bbbba to: 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 24128 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:687,nodes:16,pairs:24,completionMax:64us [11m12s] 24128 ab:aa=a,abbaaab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24128 ab:aa=a,abbaaab=a infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24129 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:49,nodes:10,pairs:4,completionMax:9us [11m12s] 24129 ab:aa=a,abbaaab=b finite:6;idempotents:1,a,bb,bba ab - - ab:aa=a,ab=b,bbb=b [11m12s] from: 24129 ab:aa=a,abbaaab=b finite:6;idempotents:1,a,bb,bba to: 893 ab:aa=a,abbb=b finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24130 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:87,nodes:12,pairs:5,completionMax:14us [11m12s] 24130 ab:aa=a,abbaabb=a infinite ab - - ab:aa=a,abba=abb,abbbb=a [11m12s] from: 24130 ab:aa=a,abbaabb=a infinite to: 8612 ab:aa=a,abbabb=a infinite a=a,b=b [11m12s] # 24131 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:48,nodes:12,pairs:4,completionMax:11us [11m12s] 24131 ab:aa=a,abbaabb=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24131 ab:aa=a,abbaabb=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24132 solved: rounds:3,rules:5,peak:10,longest:10,steps:5,word:0,work:2436,nodes:40,pairs:49,completionMax:164us [11m12s] 24132 ab:aa=a,abbabab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [11m12s] from: 24132 ab:aa=a,abbabab=a infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [11m12s] # 24133 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:0,work:74,nodes:14,pairs:5,completionMax:11us [11m12s] 24133 ab:aa=a,abbabab=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24133 ab:aa=a,abbabab=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24134 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [11m12s] 24134 ab:aa=a,abbabba=a infinite ab - - ab:aa=a,abbabba=a [11m12s] # 24135 solved: rounds:2,rules:4,peak:4,longest:7,steps:2,word:0,work:133,nodes:16,pairs:10,completionMax:19us [11m12s] 24135 ab:aa=a,abbabba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 ab - - ab:aa=a,ab=b,ba=b,bbbb=b [11m12s] from: 24135 ab:aa=a,abbabba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 to: 8617 ab:aa=a,abbbba=b finite:5;idempotents:1,a,bbb;center:1,a,b,bb,bbb;commutative:ab:a2=a,ab=b,b4=b;saturation:a:a3=1;noncancellative:a,1,b,b;smith:3 a=a,b=b [11m12s] # 24136 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:2us [11m12s] 24136 ab:aa=a,abbabbb=a infinite ab - - ab:aa=a,abbabbb=a [11m12s] # 24137 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:0,work:43,nodes:14,pairs:3,completionMax:8us [11m12s] 24137 ab:aa=a,abbabbb=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [11m12s] from: 24137 ab:aa=a,abbabbb=b finite:10;idempotents:1,a,bbbb,bbbba to: 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 24138 solved: rounds:3,rules:5,peak:7,longest:9,steps:4,word:0,work:1184,nodes:26,pairs:32,completionMax:84us [11m12s] 24138 ab:aa=a,abbbaab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [11m12s] from: 24138 ab:aa=a,abbbaab=a infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [11m12s] # 24139 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:52,nodes:12,pairs:4,completionMax:10us [11m12s] 24139 ab:aa=a,abbbaab=b finite:8;idempotents:1,a,bbb,bbba ab - - ab:aa=a,ab=b,bbbb=b [11m12s] from: 24139 ab:aa=a,abbbaab=b finite:8;idempotents:1,a,bbb,bbba to: 2883 ab:aa=a,abbbb=b finite:8;idempotents:1,a,bbb,bbba a=a,b=b [11m12s] # 24140 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:0,work:36,nodes:18,pairs:1,completionMax:13us [11m12s] 24140 ab:aa=a,abbbabb=a infinite ba - - ab:aa=a,ababb=abbba,abbbabb=a [11m12s] # 24141 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:0,work:50,nodes:14,pairs:4,completionMax:19us [11m12s] 24141 ab:aa=a,abbbabb=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [11m12s] from: 24141 ab:aa=a,abbbabb=b finite:10;idempotents:1,a,bbbb,bbbba to: 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 24142 solved: rounds:4,rules:6,peak:17,longest:12,steps:6,word:0,work:8616,nodes:60,pairs:78,completionMax:323us [11m12s] 24142 ab:aa=a,abbbbab=a infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbba=abbbb,abbbbb=a [11m12s] # 24143 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:0,work:53,nodes:14,pairs:4,completionMax:12us [11m12s] 24143 ab:aa=a,abbbbab=b finite:10;idempotents:1,a,bbbb,bbbba ab - - ab:aa=a,ab=b,bbbbb=b [11m12s] from: 24143 ab:aa=a,abbbbab=b finite:10;idempotents:1,a,bbbb,bbbba to: 8619 ab:aa=a,abbbbb=b finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 24144 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:4us [11m12s] 24144 ab:aa=a,abbbbba=a infinite ab - - ab:aa=a,abbbbba=a [11m12s] # 24145 solved: rounds:2,rules:4,peak:4,longest:7,steps:1,word:0,work:95,nodes:16,pairs:7,completionMax:19us [11m12s] 24145 ab:aa=a,abbbbba=b finite:6;idempotents:1,a,bbbb;center:1,a,b,bb,bbb,bbbb;commutative:ab:a2=a,ab=b,b5=b;saturation:a:a4=1;noncancellative:a,1,b,b;smith:4 ab - - ab:aa=a,ab=b,ba=b,bbbbb=b [11m12s] # 24146 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:13,nodes:14,pairs:0,completionMax:2us [11m12s] 24146 ab:aa=a,abbbbbb=a infinite ab - - ab:aa=a,abbbbbb=a [11m12s] # 24147 solved: rounds:2,rules:3,peak:3,longest:7,steps:1,word:0,work:35,nodes:14,pairs:2,completionMax:8us [11m12s] 24147 ab:aa=a,abbbbbb=b finite:12;idempotents:1,a,bbbbb,bbbbba ab - - ab:aa=a,ab=b,bbbbbb=b [11m12s] # 24148 solved: rounds:2,rules:3,peak:3,longest:3,steps:4,word:0,work:60,nodes:8,pairs:3,completionMax:12us [11m12s] 24148 ab:aa=a,baaaaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [11m12s] from: 24148 ab:aa=a,baaaaab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [11m12s] # 24149 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 24149 ab:aa=a,baaaaab=b infinite ab - - ab:aa=a,bab=b [11m12s] from: 24149 ab:aa=a,baaaaab=b infinite to: 244 ab:aa=a,bab=b infinite a=a,b=b [11m12s] # 24150 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:778,nodes:24,pairs:5,completionMax:38us [11m12s] 24150 ab:aa=a,baaaabb=a infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [11m12s] from: 24150 ab:aa=a,baaaabb=a infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [11m12s] # 24151 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:21,nodes:10,pairs:0,completionMax:2us [11m12s] 24151 ab:aa=a,baaaabb=b infinite ab - - ab:aa=a,babb=b [11m12s] from: 24151 ab:aa=a,baaaabb=b infinite to: 897 ab:aa=a,babb=b infinite a=a,b=b [11m12s] # 24152 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:130,nodes:12,pairs:5,completionMax:16us [11m12s] 24152 ab:aa=a,baaabab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [11m12s] from: 24152 ab:aa=a,baaabab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [11m12s] # 24153 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:20,nodes:12,pairs:0,completionMax:4us [11m12s] 24153 ab:aa=a,baaabab=b infinite ab - - ab:aa=a,babab=b [11m12s] from: 24153 ab:aa=a,baaabab=b infinite to: 2889 ab:aa=a,babab=b infinite a=a,b=b [11m12s] # 24154 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3784,nodes:46,pairs:33,completionMax:149us [11m12s] 24154 ab:aa=a,baaabbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [11m12s] from: 24154 ab:aa=a,baaabbb=a infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [11m12s] # 24155 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:20,nodes:12,pairs:0,completionMax:2us [11m12s] 24155 ab:aa=a,baaabbb=b infinite ab - - ab:aa=a,babbb=b [11m12s] from: 24155 ab:aa=a,baaabbb=b infinite to: 2891 ab:aa=a,babbb=b infinite a=a,b=b [11m12s] # 24156 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:132,nodes:12,pairs:5,completionMax:19us [11m12s] 24156 ab:aa=a,baabaab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [11m12s] from: 24156 ab:aa=a,baabaab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [11m12s] # 24157 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:22,nodes:12,pairs:0,completionMax:3us [11m12s] 24157 ab:aa=a,baabaab=b infinite ab - - ab:aa=a,babab=b [11m12s] from: 24157 ab:aa=a,baabaab=b infinite to: 2889 ab:aa=a,babab=b infinite a=a,b=b [11m12s] # 24158 solved: rounds:3,rules:4,peak:8,longest:8,steps:4,word:0,work:1280,nodes:32,pairs:48,completionMax:138us [11m12s] 24158 ab:aa=a,baababb=a infinite ab - - ab:aa=a,aba=ba,bba=abb,abbbb=a [11m12s] from: 24158 ab:aa=a,baababb=a infinite to: 8628 ab:aa=a,bababb=a infinite a=a,b=b [11m12s] # 24159 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:2us [11m12s] 24159 ab:aa=a,baababb=b infinite ab - - ab:aa=a,bababb=b [11m12s] from: 24159 ab:aa=a,baababb=b infinite to: 8629 ab:aa=a,bababb=b infinite a=a,b=b [11m12s] # 24160 solved: rounds:3,rules:3,peak:8,longest:7,steps:5,word:0,work:1359,nodes:30,pairs:31,completionMax:100us [11m12s] 24160 ab:aa=a,baabbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [11m12s] from: 24160 ab:aa=a,baabbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [11m12s] # 24161 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:138,nodes:18,pairs:2,completionMax:13us [11m12s] 24161 ab:aa=a,baabbab=b infinite ab - - ab:aa=a,bbab=babb,bababb=b [11m12s] from: 24161 ab:aa=a,baabbab=b infinite to: 8631 ab:aa=a,babbab=b infinite a=a,b=b [11m12s] # 24162 solved: rounds:4,rules:3,peak:16,longest:21,steps:15,word:30,work:18472,nodes:52,pairs:139,completionMax:654us [11m12s] 24162 ab:aa=a,baabbbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbb,aa=a [11m12s] from: 24162 ab:aa=a,baabbbb=a infinite to: 8632 ab:aa=a,babbbb=a infinite a=a,b=b [11m12s] # 24163 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:19,nodes:14,pairs:0,completionMax:3us [11m12s] 24163 ab:aa=a,baabbbb=b infinite ab - - ab:aa=a,babbbb=b [11m12s] from: 24163 ab:aa=a,baabbbb=b infinite to: 8633 ab:aa=a,babbbb=b infinite a=a,b=b [11m12s] # 24164 solved: rounds:3,rules:4,peak:8,longest:8,steps:4,word:0,work:1282,nodes:32,pairs:48,completionMax:124us [11m12s] 24164 ab:aa=a,babaabb=a infinite ab - - ab:aa=a,aba=ba,bba=abb,abbbb=a [11m12s] from: 24164 ab:aa=a,babaabb=a infinite to: 8628 ab:aa=a,bababb=a infinite a=a,b=b [11m12s] # 24165 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:21,nodes:14,pairs:0,completionMax:3us [11m12s] 24165 ab:aa=a,babaabb=b infinite ab - - ab:aa=a,bababb=b [11m12s] from: 24165 ab:aa=a,babaabb=b infinite to: 8629 ab:aa=a,bababb=b infinite a=a,b=b [11m12s] # 24166 solved: rounds:2,rules:3,peak:3,longest:7,steps:9,word:0,work:307,nodes:16,pairs:7,completionMax:20us [11m12s] 24166 ab:aa=a,bababab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [11m12s] from: 24166 ab:aa=a,bababab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [11m12s] # 24167 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:2us [11m12s] 24167 ab:aa=a,bababab=b infinite ab - - ab:aa=a,bababab=b [11m12s] # 24168 solved: rounds:5,rules:3,peak:13,longest:19,steps:20,word:15,work:7609,nodes:66,pairs:95,completionMax:379us [11m12s] 24168 ab:aa=a,bababbb=a infinite b/a - - ab:abbbbbbbbbbbbbbb=a,ba=abbbbbb,aa=a [11m12s] # 24169 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:2us [11m12s] 24169 ab:aa=a,bababbb=b infinite ab - - ab:aa=a,bababbb=b [11m12s] # 24170 solved: rounds:3,rules:3,peak:10,longest:37,steps:51,word:45,work:19043,nodes:88,pairs:57,completionMax:410us [11m12s] 24170 ab:aa=a,babbabb=a infinite b/a - - ab:abbbbbbbbbb=a,ba=abbbbbb,aa=a [11m12s] # 24171 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:4us [11m12s] 24171 ab:aa=a,babbabb=b infinite ab - - ab:aa=a,babbabb=b [11m12s] # 24172 solved: rounds:3,rules:3,peak:12,longest:9,steps:6,word:0,work:3756,nodes:38,pairs:102,completionMax:257us [11m12s] 24172 ab:aa=a,babbbab=a infinite;commutative:ab:a2=a,ab5=a;saturation:a:a5=1;noncancellative:a,1,ab,ab;smith:5 ab - - ab:aa=a,ba=ab,abbbbb=a [11m12s] # 24173 solved: rounds:4,rules:9,peak:15,longest:8,steps:5,word:0,work:2306,nodes:69,pairs:39,completionMax:122us [11m12s] 24173 ab:aa=a,babbbab=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aa=a,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [11m12s] # 24174 solved: rounds:4,rules:3,peak:22,longest:51,steps:28,word:48,work:60271,nodes:114,pairs:160,completionMax:921us [11m12s] 24174 ab:aa=a,babbbbb=a infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbbbbbbbbbbb,aa=a [11m12s] # 24175 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:1us [11m12s] 24175 ab:aa=a,babbbbb=b infinite ab - - ab:aa=a,babbbbb=b [11m12s] # 24176 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:118,nodes:14,pairs:5,completionMax:11us [11m12s] 24176 ab:aa=a,bbaaabb=a infinite ab - - ab:aa=a,bba=abb,abbbb=a [11m12s] from: 24176 ab:aa=a,bbaaabb=a infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [11m12s] # 24177 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:183,nodes:16,pairs:5,completionMax:12us [11m12s] 24177 ab:aa=a,bbaaabb=b infinite ab - - ab:aa=a,bbab=babb,babbb=b [11m12s] from: 24177 ab:aa=a,bbaaabb=b infinite to: 2893 ab:aa=a,bbabb=b infinite a=a,b=b [11m12s] # 24178 solved: rounds:2,rules:4,peak:8,longest:19,steps:15,word:30,work:5207,nodes:48,pairs:10,completionMax:85us [11m12s] 24178 ab:aa=a,bbaabbb=a infinite b/a - - ab:abbbbbbbbbbbbbbb=a,bba=abbbbbbbbbbbb,aa=a,aba=abbbbbb [11m12s] from: 24178 ab:aa=a,bbaabbb=a infinite to: 8636 ab:aa=a,bbabbb=a infinite a=a,b=b [11m12s] # 24179 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1010,nodes:26,pairs:7,completionMax:43us [11m12s] 24179 ab:aa=a,bbaabbb=b infinite ab - - ab:aa=a,bbab=babb,babbbb=b [11m12s] from: 24179 ab:aa=a,bbaabbb=b infinite to: 8637 ab:aa=a,bbabbb=b infinite a=a,b=b [11m12s] # 24180 solved: rounds:3,rules:3,peak:6,longest:7,steps:4,word:0,work:948,nodes:26,pairs:13,completionMax:56us [11m12s] 24180 ab:aa=a,bbababb=a infinite ab - - ab:aa=a,bba=abb,ababbbb=a [11m12s] # 24181 solved: rounds:4,rules:9,peak:11,longest:8,steps:7,word:0,work:1583,nodes:51,pairs:27,completionMax:108us [11m12s] 24181 ab:aa=a,bbababb=b infinite bca bb=c frequency:2/0 abc:bb=c,cb=bc,aa=a,babc=bcab,bacc=bcac,cabc=ccab,cacc=ccac,cabab=babac,cabac=b [11m12s] from: 24181 ab:aa=a,bbababb=b infinite to: 24173 ab:aa=a,babbbab=b infinite a=a,b=b,c=c [11m12s] # 24182 solved: rounds:2,rules:3,peak:7,longest:17,steps:14,word:18,work:3825,nodes:46,pairs:12,completionMax:83us [11m12s] 24182 ab:aa=a,bbabbbb=a infinite b/a - - ab:abbbbbbbbbbbb=a,bba=abbbbbbbb,aa=a [11m12s] # 24183 solved: rounds:2,rules:3,peak:4,longest:7,steps:5,word:0,work:727,nodes:24,pairs:7,completionMax:26us [11m12s] 24183 ab:aa=a,bbabbbb=b infinite ab - - ab:aa=a,bbab=babb,babbbbb=b [11m12s] # 24184 solved: rounds:2,rules:3,peak:3,longest:7,steps:3,word:0,work:203,nodes:20,pairs:7,completionMax:16us [11m12s] 24184 ab:aa=a,bbbabbb=a infinite ab - - ab:aa=a,bbba=abbb,abbbbbb=a [11m12s] # 24185 solved: rounds:2,rules:3,peak:6,longest:8,steps:6,word:0,work:2282,nodes:34,pairs:16,completionMax:70us [11m12s] 24185 ab:aa=a,bbbabbb=b infinite ab - - ab:aa=a,bbab=babb,babbbbb=b [11m12s] from: 24185 ab:aa=a,bbbabbb=b infinite to: 24183 ab:aa=a,bbabbbb=b infinite a=a,b=b [11m12s] # 24186 solved: rounds:1,rules:2,peak:2,longest:14,steps:2,word:12,work:239,nodes:28,pairs:2,completionMax:24us [11m12s] 24186 ab:aa=a,bbbbbbb=a finite:14;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb;commutative:ab:b14=b7,a=b7;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:7 b/a - - ab:bbbbbbbbbbbbbb=bbbbbbb,a=bbbbbbb [11m12s] # 24187 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:16,pairs:0,completionMax:7us [11m12s] 24187 ab:aa=a,bbbbbbb=b infinite ab - - ab:aa=a,bbbbbbb=b [11m12s] # 24188 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:3us [11m12s] 24188 ab:aa=b,aaaaaaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaa=a,b=aa [11m12s] from: 24188 ab:aa=b,aaaaaaa=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aa [11m12s] # 24189 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:29,nodes:14,pairs:0,completionMax:3us [11m12s] 24189 ab:aa=b,aaaaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [11m12s] from: 24189 ab:aa=b,aaaaaaa=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [11m12s] # 24190 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:23,nodes:16,pairs:0,completionMax:4us [11m12s] 24190 ab:aa=b,aaaaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [11m12s] from: 24190 ab:aa=b,aaaaaab=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [11m12s] # 24191 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:40,nodes:16,pairs:0,completionMax:6us [11m12s] 24191 ab:aa=b,aaaaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24191 ab:aa=b,aaaaaab=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24192 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:22,nodes:16,pairs:0,completionMax:6us [11m12s] 24192 ab:aa=b,aaaaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [11m12s] from: 24192 ab:aa=b,aaaaaba=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [11m12s] # 24193 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:39,nodes:16,pairs:0,completionMax:5us [11m12s] 24193 ab:aa=b,aaaaaba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24193 ab:aa=b,aaaaaba=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24194 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:32,nodes:18,pairs:0,completionMax:7us [11m12s] 24194 ab:aa=b,aaaaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24194 ab:aa=b,aaaaabb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24195 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:51,nodes:18,pairs:0,completionMax:5us [11m12s] 24195 ab:aa=b,aaaaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24195 ab:aa=b,aaaaabb=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24196 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:21,nodes:16,pairs:0,completionMax:5us [11m12s] 24196 ab:aa=b,aaaabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [11m12s] from: 24196 ab:aa=b,aaaabaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [11m12s] # 24197 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:38,nodes:16,pairs:0,completionMax:5us [11m12s] 24197 ab:aa=b,aaaabaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24197 ab:aa=b,aaaabaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24198 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:31,nodes:18,pairs:0,completionMax:4us [11m12s] 24198 ab:aa=b,aaaabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24198 ab:aa=b,aaaabab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24199 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:50,nodes:18,pairs:0,completionMax:5us [11m12s] 24199 ab:aa=b,aaaabab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24199 ab:aa=b,aaaabab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24200 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:30,nodes:18,pairs:0,completionMax:6us [11m12s] 24200 ab:aa=b,aaaabba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24200 ab:aa=b,aaaabba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24201 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:49,nodes:18,pairs:0,completionMax:7us [11m12s] 24201 ab:aa=b,aaaabba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24201 ab:aa=b,aaaabba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24202 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:41,nodes:20,pairs:0,completionMax:7us [11m12s] 24202 ab:aa=b,aaaabbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24202 ab:aa=b,aaaabbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24203 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:62,nodes:20,pairs:0,completionMax:5us [11m12s] 24203 ab:aa=b,aaaabbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24203 ab:aa=b,aaaabbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24204 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:20,nodes:16,pairs:0,completionMax:6us [11m12s] 24204 ab:aa=b,aaabaaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a/b - - ab:aaaaaaaa=a,b=aa [11m12s] from: 24204 ab:aa=b,aaabaaa=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=bbbb,b=b [11m12s] # 24205 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:1,work:37,nodes:16,pairs:0,completionMax:5us [11m12s] 24205 ab:aa=b,aaabaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24205 ab:aa=b,aaabaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24206 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:30,nodes:18,pairs:0,completionMax:6us [11m12s] 24206 ab:aa=b,aaabaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24206 ab:aa=b,aaabaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24207 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:49,nodes:18,pairs:0,completionMax:6us [11m12s] 24207 ab:aa=b,aaabaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24207 ab:aa=b,aaabaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24208 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:29,nodes:18,pairs:0,completionMax:6us [11m12s] 24208 ab:aa=b,aaababa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24208 ab:aa=b,aaababa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24209 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:48,nodes:18,pairs:0,completionMax:5us [11m12s] 24209 ab:aa=b,aaababa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24209 ab:aa=b,aaababa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24210 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:40,nodes:20,pairs:0,completionMax:5us [11m12s] 24210 ab:aa=b,aaababb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24210 ab:aa=b,aaababb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24211 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:61,nodes:20,pairs:0,completionMax:7us [11m12s] 24211 ab:aa=b,aaababb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24211 ab:aa=b,aaababb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24212 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:28,nodes:18,pairs:0,completionMax:8us [11m12s] 24212 ab:aa=b,aaabbaa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24212 ab:aa=b,aaabbaa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24213 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:47,nodes:18,pairs:0,completionMax:6us [11m12s] 24213 ab:aa=b,aaabbaa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24213 ab:aa=b,aaabbaa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24214 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:39,nodes:20,pairs:0,completionMax:6us [11m12s] 24214 ab:aa=b,aaabbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24214 ab:aa=b,aaabbab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24215 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:60,nodes:20,pairs:0,completionMax:6us [11m12s] 24215 ab:aa=b,aaabbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24215 ab:aa=b,aaabbab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24216 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:38,nodes:20,pairs:0,completionMax:5us [11m12s] 24216 ab:aa=b,aaabbba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24216 ab:aa=b,aaabbba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24217 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:59,nodes:20,pairs:0,completionMax:6us [11m12s] 24217 ab:aa=b,aaabbba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24217 ab:aa=b,aaabbba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24218 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:50,nodes:22,pairs:0,completionMax:8us [11m12s] 24218 ab:aa=b,aaabbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24218 ab:aa=b,aaabbbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24219 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:73,nodes:22,pairs:0,completionMax:7us [11m12s] 24219 ab:aa=b,aaabbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24219 ab:aa=b,aaabbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24220 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:29,nodes:18,pairs:0,completionMax:6us [11m12s] 24220 ab:aa=b,aabaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24220 ab:aa=b,aabaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24221 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:48,nodes:18,pairs:0,completionMax:7us [11m12s] 24221 ab:aa=b,aabaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24221 ab:aa=b,aabaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24222 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:28,nodes:18,pairs:0,completionMax:8us [11m12s] 24222 ab:aa=b,aabaaba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24222 ab:aa=b,aabaaba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24223 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:47,nodes:18,pairs:0,completionMax:5us [11m12s] 24223 ab:aa=b,aabaaba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24223 ab:aa=b,aabaaba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24224 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:39,nodes:20,pairs:0,completionMax:9us [11m12s] 24224 ab:aa=b,aabaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24224 ab:aa=b,aabaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24225 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:60,nodes:20,pairs:0,completionMax:8us [11m12s] 24225 ab:aa=b,aabaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24225 ab:aa=b,aabaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24226 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:27,nodes:18,pairs:0,completionMax:6us [11m12s] 24226 ab:aa=b,aababaa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24226 ab:aa=b,aababaa=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24227 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:46,nodes:18,pairs:0,completionMax:6us [11m12s] 24227 ab:aa=b,aababaa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24227 ab:aa=b,aababaa=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24228 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:38,nodes:20,pairs:0,completionMax:7us [11m12s] 24228 ab:aa=b,aababab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24228 ab:aa=b,aababab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24229 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:59,nodes:20,pairs:0,completionMax:7us [11m12s] 24229 ab:aa=b,aababab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24229 ab:aa=b,aababab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24230 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:37,nodes:20,pairs:0,completionMax:6us [11m12s] 24230 ab:aa=b,aababba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24230 ab:aa=b,aababba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24231 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:58,nodes:20,pairs:0,completionMax:5us [11m12s] 24231 ab:aa=b,aababba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24231 ab:aa=b,aababba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24232 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:49,nodes:22,pairs:0,completionMax:8us [11m12s] 24232 ab:aa=b,aababbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24232 ab:aa=b,aababbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24233 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:72,nodes:22,pairs:0,completionMax:6us [11m12s] 24233 ab:aa=b,aababbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24233 ab:aa=b,aababbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24234 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:37,nodes:20,pairs:0,completionMax:7us [11m12s] 24234 ab:aa=b,aabbaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24234 ab:aa=b,aabbaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24235 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:58,nodes:20,pairs:0,completionMax:5us [11m12s] 24235 ab:aa=b,aabbaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24235 ab:aa=b,aabbaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24236 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:36,nodes:20,pairs:0,completionMax:9us [11m12s] 24236 ab:aa=b,aabbaba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24236 ab:aa=b,aabbaba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24237 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:57,nodes:20,pairs:0,completionMax:5us [11m12s] 24237 ab:aa=b,aabbaba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24237 ab:aa=b,aabbaba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24238 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:48,nodes:22,pairs:0,completionMax:7us [11m12s] 24238 ab:aa=b,aabbabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24238 ab:aa=b,aabbabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24239 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:71,nodes:22,pairs:0,completionMax:6us [11m12s] 24239 ab:aa=b,aabbabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24239 ab:aa=b,aabbabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24240 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:35,nodes:20,pairs:0,completionMax:7us [11m12s] 24240 ab:aa=b,aabbbaa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24240 ab:aa=b,aabbbaa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24241 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:56,nodes:20,pairs:0,completionMax:7us [11m12s] 24241 ab:aa=b,aabbbaa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24241 ab:aa=b,aabbbaa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24242 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:47,nodes:22,pairs:0,completionMax:7us [11m12s] 24242 ab:aa=b,aabbbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24242 ab:aa=b,aabbbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24243 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:70,nodes:22,pairs:0,completionMax:7us [11m12s] 24243 ab:aa=b,aabbbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24243 ab:aa=b,aabbbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24244 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:46,nodes:22,pairs:0,completionMax:6us [11m12s] 24244 ab:aa=b,aabbbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24244 ab:aa=b,aabbbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24245 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:69,nodes:22,pairs:0,completionMax:5us [11m12s] 24245 ab:aa=b,aabbbba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24245 ab:aa=b,aabbbba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24246 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:59,nodes:24,pairs:0,completionMax:11us [11m12s] 24246 ab:aa=b,aabbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24246 ab:aa=b,aabbbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24247 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:84,nodes:24,pairs:0,completionMax:7us [11m12s] 24247 ab:aa=b,aabbbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24247 ab:aa=b,aabbbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24248 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:28,nodes:18,pairs:0,completionMax:5us [11m12s] 24248 ab:aa=b,abaaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24248 ab:aa=b,abaaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24249 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:47,nodes:18,pairs:0,completionMax:7us [11m12s] 24249 ab:aa=b,abaaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24249 ab:aa=b,abaaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24250 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:27,nodes:18,pairs:0,completionMax:5us [11m12s] 24250 ab:aa=b,abaaaba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24250 ab:aa=b,abaaaba=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24251 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:46,nodes:18,pairs:0,completionMax:4us [11m12s] 24251 ab:aa=b,abaaaba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24251 ab:aa=b,abaaaba=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24252 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:38,nodes:20,pairs:0,completionMax:5us [11m12s] 24252 ab:aa=b,abaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24252 ab:aa=b,abaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24253 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:59,nodes:20,pairs:0,completionMax:4us [11m12s] 24253 ab:aa=b,abaaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24253 ab:aa=b,abaaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24254 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:37,nodes:20,pairs:0,completionMax:4us [11m12s] 24254 ab:aa=b,abaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24254 ab:aa=b,abaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24255 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:58,nodes:20,pairs:0,completionMax:4us [11m12s] 24255 ab:aa=b,abaabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24255 ab:aa=b,abaabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24256 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:36,nodes:20,pairs:0,completionMax:4us [11m12s] 24256 ab:aa=b,abaabba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24256 ab:aa=b,abaabba=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24257 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:57,nodes:20,pairs:0,completionMax:5us [11m12s] 24257 ab:aa=b,abaabba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24257 ab:aa=b,abaabba=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24258 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:48,nodes:22,pairs:0,completionMax:8us [11m12s] 24258 ab:aa=b,abaabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24258 ab:aa=b,abaabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24259 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:71,nodes:22,pairs:0,completionMax:8us [11m12s] 24259 ab:aa=b,abaabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24259 ab:aa=b,abaabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24260 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:36,nodes:20,pairs:0,completionMax:7us [11m12s] 24260 ab:aa=b,ababaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24260 ab:aa=b,ababaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24261 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:57,nodes:20,pairs:0,completionMax:8us [11m12s] 24261 ab:aa=b,ababaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24261 ab:aa=b,ababaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24262 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:35,nodes:20,pairs:0,completionMax:8us [11m12s] 24262 ab:aa=b,abababa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24262 ab:aa=b,abababa=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24263 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:56,nodes:20,pairs:0,completionMax:5us [11m12s] 24263 ab:aa=b,abababa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24263 ab:aa=b,abababa=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24264 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:47,nodes:22,pairs:0,completionMax:7us [11m12s] 24264 ab:aa=b,abababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24264 ab:aa=b,abababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24265 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:70,nodes:22,pairs:0,completionMax:7us [11m12s] 24265 ab:aa=b,abababb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24265 ab:aa=b,abababb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24266 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:46,nodes:22,pairs:0,completionMax:7us [11m12s] 24266 ab:aa=b,ababbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24266 ab:aa=b,ababbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24267 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:69,nodes:22,pairs:0,completionMax:7us [11m12s] 24267 ab:aa=b,ababbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24267 ab:aa=b,ababbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24268 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:45,nodes:22,pairs:0,completionMax:6us [11m12s] 24268 ab:aa=b,ababbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24268 ab:aa=b,ababbba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24269 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:68,nodes:22,pairs:0,completionMax:8us [11m12s] 24269 ab:aa=b,ababbba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24269 ab:aa=b,ababbba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24270 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:58,nodes:24,pairs:0,completionMax:8us [11m12s] 24270 ab:aa=b,ababbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24270 ab:aa=b,ababbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24271 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:83,nodes:24,pairs:0,completionMax:7us [11m12s] 24271 ab:aa=b,ababbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24271 ab:aa=b,ababbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24272 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:35,nodes:20,pairs:0,completionMax:6us [11m12s] 24272 ab:aa=b,abbaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24272 ab:aa=b,abbaaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24273 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:56,nodes:20,pairs:0,completionMax:6us [11m12s] 24273 ab:aa=b,abbaaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24273 ab:aa=b,abbaaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24274 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:46,nodes:22,pairs:0,completionMax:5us [11m12s] 24274 ab:aa=b,abbaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24274 ab:aa=b,abbaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24275 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:69,nodes:22,pairs:0,completionMax:7us [11m12s] 24275 ab:aa=b,abbaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24275 ab:aa=b,abbaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24276 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:45,nodes:22,pairs:0,completionMax:5us [11m12s] 24276 ab:aa=b,abbabab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24276 ab:aa=b,abbabab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24277 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:68,nodes:22,pairs:0,completionMax:5us [11m12s] 24277 ab:aa=b,abbabab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24277 ab:aa=b,abbabab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24278 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:44,nodes:22,pairs:0,completionMax:12us [11m12s] 24278 ab:aa=b,abbabba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24278 ab:aa=b,abbabba=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24279 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:67,nodes:22,pairs:0,completionMax:7us [11m12s] 24279 ab:aa=b,abbabba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24279 ab:aa=b,abbabba=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24280 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:57,nodes:24,pairs:0,completionMax:8us [11m12s] 24280 ab:aa=b,abbabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24280 ab:aa=b,abbabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24281 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:82,nodes:24,pairs:0,completionMax:8us [11m12s] 24281 ab:aa=b,abbabbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24281 ab:aa=b,abbabbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24282 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:44,nodes:22,pairs:0,completionMax:7us [11m12s] 24282 ab:aa=b,abbbaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24282 ab:aa=b,abbbaab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24283 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:67,nodes:22,pairs:0,completionMax:7us [11m12s] 24283 ab:aa=b,abbbaab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24283 ab:aa=b,abbbaab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24284 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:56,nodes:24,pairs:0,completionMax:7us [11m12s] 24284 ab:aa=b,abbbabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24284 ab:aa=b,abbbabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24285 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:81,nodes:24,pairs:0,completionMax:6us [11m12s] 24285 ab:aa=b,abbbabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24285 ab:aa=b,abbbabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24286 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:55,nodes:24,pairs:0,completionMax:7us [11m12s] 24286 ab:aa=b,abbbbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24286 ab:aa=b,abbbbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24287 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:80,nodes:24,pairs:0,completionMax:5us [11m12s] 24287 ab:aa=b,abbbbab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24287 ab:aa=b,abbbbab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24288 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:54,nodes:24,pairs:0,completionMax:9us [11m12s] 24288 ab:aa=b,abbbbba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24288 ab:aa=b,abbbbba=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24289 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:79,nodes:24,pairs:0,completionMax:7us [11m12s] 24289 ab:aa=b,abbbbba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24289 ab:aa=b,abbbbba=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24290 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:68,nodes:26,pairs:0,completionMax:8us [11m12s] 24290 ab:aa=b,abbbbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aa [11m12s] from: 24290 ab:aa=b,abbbbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aa [11m12s] # 24291 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:95,nodes:26,pairs:0,completionMax:10us [11m12s] 24291 ab:aa=b,abbbbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aa [11m12s] from: 24291 ab:aa=b,abbbbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bb [11m12s] # 24292 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:27,nodes:18,pairs:0,completionMax:6us [11m12s] 24292 ab:aa=b,baaaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaa=a,b=aa [11m12s] from: 24292 ab:aa=b,baaaaab=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 581 ab:aaa=b,bbb=a finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=b,a=b3;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbb,bbbb;smith:8 a=b,b=bb [11m12s] # 24293 solved: rounds:0,rules:2,peak:2,longest:9,steps:2,word:2,work:46,nodes:18,pairs:0,completionMax:5us [11m12s] 24293 ab:aa=b,baaaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24293 ab:aa=b,baaaaab=b finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24294 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:37,nodes:20,pairs:0,completionMax:6us [11m12s] 24294 ab:aa=b,baaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24294 ab:aa=b,baaaabb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24295 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:58,nodes:20,pairs:0,completionMax:6us [11m12s] 24295 ab:aa=b,baaaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24295 ab:aa=b,baaaabb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24296 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:36,nodes:20,pairs:0,completionMax:5us [11m12s] 24296 ab:aa=b,baaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24296 ab:aa=b,baaabab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24297 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:57,nodes:20,pairs:0,completionMax:6us [11m12s] 24297 ab:aa=b,baaabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24297 ab:aa=b,baaabab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24298 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:47,nodes:22,pairs:0,completionMax:8us [11m12s] 24298 ab:aa=b,baaabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24298 ab:aa=b,baaabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24299 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:70,nodes:22,pairs:0,completionMax:8us [11m12s] 24299 ab:aa=b,baaabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24299 ab:aa=b,baaabbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24300 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:35,nodes:20,pairs:0,completionMax:7us [11m12s] 24300 ab:aa=b,baabaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 a/b - - ab:aaaaaaaaaa=a,b=aa [11m12s] from: 24300 ab:aa=b,baabaab=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=b,a=b5;saturation:a:a9=1;noncancellative:bbbbbbbbb,1,bbbbbb,bbbbbb;smith:9 to: 2012 ab:aaa=b,abbb=a finite:10;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=aaaaa,b=a [11m12s] # 24301 solved: rounds:0,rules:2,peak:2,longest:10,steps:3,word:3,work:56,nodes:20,pairs:0,completionMax:7us [11m12s] 24301 ab:aa=b,baabaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24301 ab:aa=b,baabaab=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24302 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:46,nodes:22,pairs:0,completionMax:8us [11m12s] 24302 ab:aa=b,baababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24302 ab:aa=b,baababb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24303 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:69,nodes:22,pairs:0,completionMax:9us [11m12s] 24303 ab:aa=b,baababb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24303 ab:aa=b,baababb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24304 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:45,nodes:22,pairs:0,completionMax:5us [11m12s] 24304 ab:aa=b,baabbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24304 ab:aa=b,baabbab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24305 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:68,nodes:22,pairs:0,completionMax:6us [11m12s] 24305 ab:aa=b,baabbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24305 ab:aa=b,baabbab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24306 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:57,nodes:24,pairs:0,completionMax:9us [11m12s] 24306 ab:aa=b,baabbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24306 ab:aa=b,baabbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24307 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:82,nodes:24,pairs:0,completionMax:6us [11m12s] 24307 ab:aa=b,baabbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24307 ab:aa=b,baabbbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24308 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:45,nodes:22,pairs:0,completionMax:8us [11m12s] 24308 ab:aa=b,babaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24308 ab:aa=b,babaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24309 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:68,nodes:22,pairs:0,completionMax:7us [11m12s] 24309 ab:aa=b,babaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24309 ab:aa=b,babaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24310 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:44,nodes:22,pairs:0,completionMax:6us [11m12s] 24310 ab:aa=b,bababab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24310 ab:aa=b,bababab=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24311 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:67,nodes:22,pairs:0,completionMax:5us [11m12s] 24311 ab:aa=b,bababab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24311 ab:aa=b,bababab=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24312 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:56,nodes:24,pairs:0,completionMax:6us [11m12s] 24312 ab:aa=b,bababbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24312 ab:aa=b,bababbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24313 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:81,nodes:24,pairs:0,completionMax:5us [11m12s] 24313 ab:aa=b,bababbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24313 ab:aa=b,bababbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24314 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:55,nodes:24,pairs:0,completionMax:5us [11m12s] 24314 ab:aa=b,babbabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24314 ab:aa=b,babbabb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24315 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:80,nodes:24,pairs:0,completionMax:6us [11m12s] 24315 ab:aa=b,babbabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24315 ab:aa=b,babbabb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24316 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:54,nodes:24,pairs:0,completionMax:5us [11m12s] 24316 ab:aa=b,babbbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24316 ab:aa=b,babbbab=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24317 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:79,nodes:24,pairs:0,completionMax:5us [11m12s] 24317 ab:aa=b,babbbab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24317 ab:aa=b,babbbab=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24318 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:67,nodes:26,pairs:0,completionMax:8us [11m12s] 24318 ab:aa=b,babbbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aa [11m12s] from: 24318 ab:aa=b,babbbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aa [11m12s] # 24319 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:94,nodes:26,pairs:0,completionMax:7us [11m12s] 24319 ab:aa=b,babbbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aa [11m12s] from: 24319 ab:aa=b,babbbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bb [11m12s] # 24320 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:44,nodes:22,pairs:0,completionMax:5us [11m12s] 24320 ab:aa=b,bbaaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaa=a,b=aa [11m12s] from: 24320 ab:aa=b,bbaaabb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 6292 ab:aaa=b,aabbb=a finite:11;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:b11=b,a=b7;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:10 a=b,b=bb [11m12s] # 24321 solved: rounds:0,rules:2,peak:2,longest:11,steps:4,word:4,work:67,nodes:22,pairs:0,completionMax:5us [11m12s] 24321 ab:aa=b,bbaaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24321 ab:aa=b,bbaaabb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24322 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:55,nodes:24,pairs:0,completionMax:6us [11m12s] 24322 ab:aa=b,bbaabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24322 ab:aa=b,bbaabbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24323 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:80,nodes:24,pairs:0,completionMax:5us [11m12s] 24323 ab:aa=b,bbaabbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24323 ab:aa=b,bbaabbb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24324 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:54,nodes:24,pairs:0,completionMax:5us [11m12s] 24324 ab:aa=b,bbababb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 a/b - - ab:aaaaaaaaaaaa=a,b=aa [11m12s] from: 24324 ab:aa=b,bbababb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b6;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbbbb,bbbbbbb;smith:11 to: 2018 ab:aaa=b,bbbb=a finite:12;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:b12=b,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbb,1,bbbbb,bbbbb;smith:11 a=bbbbbb,b=b [11m12s] # 24325 solved: rounds:0,rules:2,peak:2,longest:12,steps:5,word:5,work:79,nodes:24,pairs:0,completionMax:5us [11m12s] 24325 ab:aa=b,bbababb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24325 ab:aa=b,bbababb=b finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24326 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:66,nodes:26,pairs:0,completionMax:6us [11m12s] 24326 ab:aa=b,bbabbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aa [11m12s] from: 24326 ab:aa=b,bbabbbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aa [11m12s] # 24327 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:93,nodes:26,pairs:0,completionMax:6us [11m12s] 24327 ab:aa=b,bbabbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aa [11m12s] from: 24327 ab:aa=b,bbabbbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bb [11m12s] # 24328 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:65,nodes:26,pairs:0,completionMax:10us [11m12s] 24328 ab:aa=b,bbbabbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 a/b - - ab:aaaaaaaaaaaaa=a,b=aa [11m12s] from: 24328 ab:aa=b,bbbabbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 to: 4642 ab:aaaa=b,abbb=a finite:13;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a,b=a4;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaaaa,aaaaa;smith:12 a=a,b=aa [11m12s] # 24329 solved: rounds:0,rules:2,peak:2,longest:13,steps:6,word:6,work:92,nodes:26,pairs:0,completionMax:10us [11m12s] 24329 ab:aa=b,bbbabbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 a/b - - ab:aaaaaaaaaaaaa=aa,b=aa [11m12s] from: 24329 ab:aa=b,bbbabbb=b finite:13;idempotents:1,aaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa;commutative:ab:a13=a2,b=a2;saturation:a:a11=1;noncancellative:aaaaaaaaaaaa,a,aaa,aaaa;smith:11 to: 12324 ab:aaab=bb,bbbb=a finite:13;idempotents:1,bbbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb;commutative:ab:b13=b2,a=b4;saturation:a:a11=1;noncancellative:bbbbbbbbbbbb,b,bbbbb,bbbbbb;smith:11 a=b,b=bb [11m12s] # 24330 solved: rounds:0,rules:2,peak:2,longest:14,steps:7,word:7,work:77,nodes:28,pairs:0,completionMax:8us [11m12s] 24330 ab:aa=b,bbbbbbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b7;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:13 a/b - - ab:aaaaaaaaaaaaaa=a,b=aa [11m12s] from: 24330 ab:aa=b,bbbbbbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b7;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbb,bbbbbbbb;smith:13 to: 14383 ab:aaaa=b,aabbb=a finite:14;idempotents:1,aaaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=b,a=b10;saturation:a:a13=1;noncancellative:bbbbbbbbbbbbb,1,bbbbbbbbbbb,bbbbbbbbbbb;smith:13 a=bbbbbbb,b=b [11m12s] # 24331 solved: rounds:0,rules:2,peak:2,longest:14,steps:7,word:7,work:106,nodes:28,pairs:0,completionMax:9us [11m12s] 24331 ab:aa=b,bbbbbbb=b finite:14;idempotents:1,aaaaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:a14=a2,b=a2;saturation:a:a12=1;noncancellative:aaaaaaaaaaaa,1,aaa,aaa;smith:12 a/b - - ab:aaaaaaaaaaaaaa=aa,b=aa [11m12s] # 24332 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:23,nodes:14,pairs:0,completionMax:3us [11m12s] 24332 ab:ab=a,aaaaaaa=a infinite ab - - ab:ab=a,aaaaaaa=a [11m12s] # 24333 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:16,pairs:1,completionMax:6us [11m12s] 24333 ab:ab=a,aaaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a,b=a7;saturation:a:a7=1;noncancellative:aaaaaaa,1,a,a;smith:7 a/b - - ab:aaaaaaaa=a,b=aaaaaaa [11m12s] from: 24333 ab:ab=a,aaaaaaa=b finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a,b=a7;saturation:a:a7=1;noncancellative:aaaaaaa,1,a,a;smith:7 to: 918 ab:aa=b,bbbb=a finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:b8=b,a=b4;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbbb,bbbbb;smith:7 a=b,b=bbbbbbb [11m12s] # 24334 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:27,nodes:12,pairs:0,completionMax:3us [11m12s] 24334 ab:ab=a,aaaaaab=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24334 ab:ab=a,aaaaaab=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24335 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:21,nodes:14,pairs:1,completionMax:5us [11m12s] 24335 ab:ab=a,aaaaaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24335 ab:ab=a,aaaaaab=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24336 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:12,pairs:0,completionMax:3us [11m12s] 24336 ab:ab=a,aaaaaba=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24336 ab:ab=a,aaaaaba=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24337 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:20,nodes:14,pairs:1,completionMax:4us [11m12s] 24337 ab:ab=a,aaaaaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24337 ab:ab=a,aaaaaba=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24338 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:29,nodes:10,pairs:0,completionMax:4us [11m12s] 24338 ab:ab=a,aaaaabb=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24338 ab:ab=a,aaaaabb=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24339 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:24,nodes:12,pairs:1,completionMax:5us [11m12s] 24339 ab:ab=a,aaaaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24339 ab:ab=a,aaaaabb=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24340 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:25,nodes:12,pairs:0,completionMax:5us [11m12s] 24340 ab:ab=a,aaaabaa=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24340 ab:ab=a,aaaabaa=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24341 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:19,nodes:14,pairs:1,completionMax:6us [11m12s] 24341 ab:ab=a,aaaabaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24341 ab:ab=a,aaaabaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24342 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:28,nodes:10,pairs:0,completionMax:3us [11m12s] 24342 ab:ab=a,aaaabab=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24342 ab:ab=a,aaaabab=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24343 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:23,nodes:12,pairs:1,completionMax:4us [11m12s] 24343 ab:ab=a,aaaabab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24343 ab:ab=a,aaaabab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24344 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:3us [11m12s] 24344 ab:ab=a,aaaabba=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24344 ab:ab=a,aaaabba=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24345 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:22,nodes:12,pairs:1,completionMax:8us [11m12s] 24345 ab:ab=a,aaaabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24345 ab:ab=a,aaaabba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24346 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:29,nodes:8,pairs:0,completionMax:5us [11m12s] 24346 ab:ab=a,aaaabbb=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24346 ab:ab=a,aaaabbb=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24347 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:25,nodes:10,pairs:1,completionMax:7us [11m12s] 24347 ab:ab=a,aaaabbb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24347 ab:ab=a,aaaabbb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24348 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [11m12s] 24348 ab:ab=a,aaabaaa=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24348 ab:ab=a,aaabaaa=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24349 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:18,nodes:14,pairs:1,completionMax:6us [11m12s] 24349 ab:ab=a,aaabaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24349 ab:ab=a,aaabaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24350 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:5us [11m12s] 24350 ab:ab=a,aaabaab=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24350 ab:ab=a,aaabaab=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24351 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:22,nodes:12,pairs:1,completionMax:6us [11m12s] 24351 ab:ab=a,aaabaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24351 ab:ab=a,aaabaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24352 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:26,nodes:10,pairs:0,completionMax:3us [11m12s] 24352 ab:ab=a,aaababa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24352 ab:ab=a,aaababa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24353 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:21,nodes:12,pairs:1,completionMax:5us [11m12s] 24353 ab:ab=a,aaababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24353 ab:ab=a,aaababa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24354 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:28,nodes:8,pairs:0,completionMax:3us [11m12s] 24354 ab:ab=a,aaababb=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24354 ab:ab=a,aaababb=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24355 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:24,nodes:10,pairs:1,completionMax:5us [11m12s] 24355 ab:ab=a,aaababb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24355 ab:ab=a,aaababb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24356 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:3us [11m12s] 24356 ab:ab=a,aaabbaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24356 ab:ab=a,aaabbaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24357 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:20,nodes:12,pairs:1,completionMax:4us [11m12s] 24357 ab:ab=a,aaabbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24357 ab:ab=a,aaabbaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24358 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:27,nodes:8,pairs:0,completionMax:3us [11m12s] 24358 ab:ab=a,aaabbab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24358 ab:ab=a,aaabbab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24359 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:23,nodes:10,pairs:1,completionMax:5us [11m12s] 24359 ab:ab=a,aaabbab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24359 ab:ab=a,aaabbab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24360 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:3us [11m12s] 24360 ab:ab=a,aaabbba=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24360 ab:ab=a,aaabbba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24361 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:22,nodes:10,pairs:1,completionMax:6us [11m12s] 24361 ab:ab=a,aaabbba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24361 ab:ab=a,aaabbba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24362 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:27,nodes:6,pairs:0,completionMax:2us [11m12s] 24362 ab:ab=a,aaabbbb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24362 ab:ab=a,aaabbbb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24363 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:24,nodes:8,pairs:1,completionMax:4us [11m12s] 24363 ab:ab=a,aaabbbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24363 ab:ab=a,aaabbbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24364 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:4us [11m12s] 24364 ab:ab=a,aabaaaa=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24364 ab:ab=a,aabaaaa=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24365 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:17,nodes:14,pairs:1,completionMax:6us [11m12s] 24365 ab:ab=a,aabaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24365 ab:ab=a,aabaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24366 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:26,nodes:10,pairs:0,completionMax:4us [11m12s] 24366 ab:ab=a,aabaaab=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24366 ab:ab=a,aabaaab=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24367 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:21,nodes:12,pairs:1,completionMax:5us [11m12s] 24367 ab:ab=a,aabaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24367 ab:ab=a,aabaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24368 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:4us [11m12s] 24368 ab:ab=a,aabaaba=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24368 ab:ab=a,aabaaba=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24369 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:20,nodes:12,pairs:1,completionMax:5us [11m12s] 24369 ab:ab=a,aabaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24369 ab:ab=a,aabaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24370 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:27,nodes:8,pairs:0,completionMax:2us [11m12s] 24370 ab:ab=a,aabaabb=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24370 ab:ab=a,aabaabb=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24371 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:23,nodes:10,pairs:1,completionMax:4us [11m12s] 24371 ab:ab=a,aabaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24371 ab:ab=a,aabaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24372 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:3us [11m12s] 24372 ab:ab=a,aababaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24372 ab:ab=a,aababaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24373 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:19,nodes:12,pairs:1,completionMax:4us [11m12s] 24373 ab:ab=a,aababaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24373 ab:ab=a,aababaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24374 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:3us [11m12s] 24374 ab:ab=a,aababab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24374 ab:ab=a,aababab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24375 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:22,nodes:10,pairs:1,completionMax:4us [11m12s] 24375 ab:ab=a,aababab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24375 ab:ab=a,aababab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24376 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:3us [11m12s] 24376 ab:ab=a,aababba=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24376 ab:ab=a,aababba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24377 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:21,nodes:10,pairs:1,completionMax:4us [11m12s] 24377 ab:ab=a,aababba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24377 ab:ab=a,aababba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24378 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:26,nodes:6,pairs:0,completionMax:3us [11m12s] 24378 ab:ab=a,aababbb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24378 ab:ab=a,aababbb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24379 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:23,nodes:8,pairs:1,completionMax:4us [11m12s] 24379 ab:ab=a,aababbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24379 ab:ab=a,aababbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24380 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:4us [11m12s] 24380 ab:ab=a,aabbaaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24380 ab:ab=a,aabbaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24381 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [11m12s] 24381 ab:ab=a,aabbaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24381 ab:ab=a,aabbaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24382 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:2us [11m12s] 24382 ab:ab=a,aabbaab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24382 ab:ab=a,aabbaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24383 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:21,nodes:10,pairs:1,completionMax:4us [11m12s] 24383 ab:ab=a,aabbaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24383 ab:ab=a,aabbaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24384 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 24384 ab:ab=a,aabbaba=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24384 ab:ab=a,aabbaba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24385 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:3us [11m12s] 24385 ab:ab=a,aabbaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24385 ab:ab=a,aabbaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24386 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:25,nodes:6,pairs:0,completionMax:1us [11m12s] 24386 ab:ab=a,aabbabb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24386 ab:ab=a,aabbabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24387 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:22,nodes:8,pairs:1,completionMax:3us [11m12s] 24387 ab:ab=a,aabbabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24387 ab:ab=a,aabbabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24388 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:3us [11m12s] 24388 ab:ab=a,aabbbaa=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24388 ab:ab=a,aabbbaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24389 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:6us [11m12s] 24389 ab:ab=a,aabbbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24389 ab:ab=a,aabbbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24390 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:24,nodes:6,pairs:0,completionMax:2us [11m12s] 24390 ab:ab=a,aabbbab=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24390 ab:ab=a,aabbbab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24391 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:21,nodes:8,pairs:1,completionMax:4us [11m12s] 24391 ab:ab=a,aabbbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24391 ab:ab=a,aabbbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24392 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:23,nodes:6,pairs:0,completionMax:3us [11m12s] 24392 ab:ab=a,aabbbba=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24392 ab:ab=a,aabbbba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24393 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:3us [11m12s] 24393 ab:ab=a,aabbbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24393 ab:ab=a,aabbbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24394 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:23,nodes:4,pairs:0,completionMax:1us [11m12s] 24394 ab:ab=a,aabbbbb=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24394 ab:ab=a,aabbbbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24395 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:21,nodes:6,pairs:1,completionMax:2us [11m12s] 24395 ab:ab=a,aabbbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24395 ab:ab=a,aabbbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24396 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:4us [11m12s] 24396 ab:ab=a,abaaaaa=a infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24396 ab:ab=a,abaaaaa=a infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24397 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:16,nodes:14,pairs:1,completionMax:4us [11m12s] 24397 ab:ab=a,abaaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,b=aaaaaa [11m12s] from: 24397 ab:ab=a,abaaaaa=b finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a6;saturation:a:a6=1;noncancellative:aaaaaa,1,a,a;smith:6 to: 577 ab:aaa=b,abb=a finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaa,aaaa;smith:6 a=a,b=aaaaaa [11m12s] # 24398 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:25,nodes:10,pairs:0,completionMax:4us [11m12s] 24398 ab:ab=a,abaaaab=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24398 ab:ab=a,abaaaab=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24399 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:20,nodes:12,pairs:1,completionMax:5us [11m12s] 24399 ab:ab=a,abaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24399 ab:ab=a,abaaaab=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24400 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:5us [11m12s] 24400 ab:ab=a,abaaaba=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24400 ab:ab=a,abaaaba=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24401 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:19,nodes:12,pairs:1,completionMax:8us [11m12s] 24401 ab:ab=a,abaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24401 ab:ab=a,abaaaba=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24402 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:26,nodes:8,pairs:0,completionMax:3us [11m12s] 24402 ab:ab=a,abaaabb=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24402 ab:ab=a,abaaabb=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24403 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:22,nodes:10,pairs:1,completionMax:5us [11m12s] 24403 ab:ab=a,abaaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24403 ab:ab=a,abaaabb=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24404 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:4us [11m12s] 24404 ab:ab=a,abaabaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24404 ab:ab=a,abaabaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24405 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:18,nodes:12,pairs:1,completionMax:5us [11m12s] 24405 ab:ab=a,abaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24405 ab:ab=a,abaabaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24406 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:2us [11m12s] 24406 ab:ab=a,abaabab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24406 ab:ab=a,abaabab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24407 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:21,nodes:10,pairs:1,completionMax:5us [11m12s] 24407 ab:ab=a,abaabab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24407 ab:ab=a,abaabab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24408 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:24,nodes:8,pairs:0,completionMax:3us [11m12s] 24408 ab:ab=a,abaabba=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24408 ab:ab=a,abaabba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24409 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:4us [11m12s] 24409 ab:ab=a,abaabba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24409 ab:ab=a,abaabba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24410 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:25,nodes:6,pairs:0,completionMax:3us [11m12s] 24410 ab:ab=a,abaabbb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24410 ab:ab=a,abaabbb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24411 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:22,nodes:8,pairs:1,completionMax:5us [11m12s] 24411 ab:ab=a,abaabbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24411 ab:ab=a,abaabbb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24412 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:3us [11m12s] 24412 ab:ab=a,ababaaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24412 ab:ab=a,ababaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24413 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:17,nodes:12,pairs:1,completionMax:5us [11m12s] 24413 ab:ab=a,ababaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24413 ab:ab=a,ababaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24414 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 24414 ab:ab=a,ababaab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24414 ab:ab=a,ababaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24415 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:20,nodes:10,pairs:1,completionMax:5us [11m12s] 24415 ab:ab=a,ababaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24415 ab:ab=a,ababaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24416 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 24416 ab:ab=a,abababa=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24416 ab:ab=a,abababa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24417 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:4us [11m12s] 24417 ab:ab=a,abababa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24417 ab:ab=a,abababa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24418 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:24,nodes:6,pairs:0,completionMax:3us [11m12s] 24418 ab:ab=a,abababb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24418 ab:ab=a,abababb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24419 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:21,nodes:8,pairs:1,completionMax:5us [11m12s] 24419 ab:ab=a,abababb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24419 ab:ab=a,abababb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24420 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:22,nodes:8,pairs:0,completionMax:4us [11m12s] 24420 ab:ab=a,ababbaa=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24420 ab:ab=a,ababbaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24421 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:7us [11m12s] 24421 ab:ab=a,ababbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24421 ab:ab=a,ababbaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24422 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:23,nodes:6,pairs:0,completionMax:2us [11m12s] 24422 ab:ab=a,ababbab=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24422 ab:ab=a,ababbab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24423 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:4us [11m12s] 24423 ab:ab=a,ababbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24423 ab:ab=a,ababbab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24424 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:22,nodes:6,pairs:0,completionMax:2us [11m12s] 24424 ab:ab=a,ababbba=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24424 ab:ab=a,ababbba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24425 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:4us [11m12s] 24425 ab:ab=a,ababbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24425 ab:ab=a,ababbba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24426 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:22,nodes:4,pairs:0,completionMax:2us [11m12s] 24426 ab:ab=a,ababbbb=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24426 ab:ab=a,ababbbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24427 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:20,nodes:6,pairs:1,completionMax:3us [11m12s] 24427 ab:ab=a,ababbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24427 ab:ab=a,ababbbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24428 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:3us [11m12s] 24428 ab:ab=a,abbaaaa=a infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24428 ab:ab=a,abbaaaa=a infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24429 solved: rounds:1,rules:2,peak:2,longest:6,steps:2,word:0,work:16,nodes:12,pairs:1,completionMax:5us [11m12s] 24429 ab:ab=a,abbaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 a/b - - ab:aaaaaa=a,b=aaaaa [11m12s] from: 24429 ab:ab=a,abbaaaa=b finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a,b=a5;saturation:a:a5=1;noncancellative:aaaaa,1,a,a;smith:5 to: 257 ab:aa=b,bbb=a finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:b6=b,a=b3;saturation:a:a5=1;noncancellative:bbbbb,1,bbbb,bbbb;smith:5 a=b,b=bbbbb [11m12s] # 24430 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 24430 ab:ab=a,abbaaab=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24430 ab:ab=a,abbaaab=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24431 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:10,pairs:1,completionMax:5us [11m12s] 24431 ab:ab=a,abbaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24431 ab:ab=a,abbaaab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24432 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 24432 ab:ab=a,abbaaba=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24432 ab:ab=a,abbaaba=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24433 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:18,nodes:10,pairs:1,completionMax:3us [11m12s] 24433 ab:ab=a,abbaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24433 ab:ab=a,abbaaba=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24434 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:23,nodes:6,pairs:0,completionMax:2us [11m12s] 24434 ab:ab=a,abbaabb=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24434 ab:ab=a,abbaabb=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24435 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:20,nodes:8,pairs:1,completionMax:8us [11m12s] 24435 ab:ab=a,abbaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24435 ab:ab=a,abbaabb=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24436 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:21,nodes:8,pairs:0,completionMax:5us [11m12s] 24436 ab:ab=a,abbabaa=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24436 ab:ab=a,abbabaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24437 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:17,nodes:10,pairs:1,completionMax:6us [11m12s] 24437 ab:ab=a,abbabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24437 ab:ab=a,abbabaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24438 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:22,nodes:6,pairs:0,completionMax:3us [11m12s] 24438 ab:ab=a,abbabab=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24438 ab:ab=a,abbabab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24439 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:19,nodes:8,pairs:1,completionMax:3us [11m12s] 24439 ab:ab=a,abbabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24439 ab:ab=a,abbabab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24440 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:21,nodes:6,pairs:0,completionMax:2us [11m12s] 24440 ab:ab=a,abbabba=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24440 ab:ab=a,abbabba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24441 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:3us [11m12s] 24441 ab:ab=a,abbabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24441 ab:ab=a,abbabba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24442 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:21,nodes:4,pairs:0,completionMax:2us [11m12s] 24442 ab:ab=a,abbabbb=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24442 ab:ab=a,abbabbb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24443 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:19,nodes:6,pairs:1,completionMax:2us [11m12s] 24443 ab:ab=a,abbabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24443 ab:ab=a,abbabbb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24444 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:20,nodes:8,pairs:0,completionMax:3us [11m12s] 24444 ab:ab=a,abbbaaa=a infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24444 ab:ab=a,abbbaaa=a infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24445 solved: rounds:1,rules:2,peak:2,longest:5,steps:3,word:0,work:16,nodes:10,pairs:1,completionMax:4us [11m12s] 24445 ab:ab=a,abbbaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 a/b - - ab:aaaaa=a,b=aaaa [11m12s] from: 24445 ab:ab=a,abbbaaa=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a4;saturation:a:a4=1;noncancellative:aaaa,1,a,a;smith:4 to: 253 ab:aa=b,abb=a finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aaaa [11m12s] # 24446 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:21,nodes:6,pairs:0,completionMax:2us [11m12s] 24446 ab:ab=a,abbbaab=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24446 ab:ab=a,abbbaab=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24447 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:18,nodes:8,pairs:1,completionMax:3us [11m12s] 24447 ab:ab=a,abbbaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24447 ab:ab=a,abbbaab=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24448 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:20,nodes:6,pairs:0,completionMax:3us [11m12s] 24448 ab:ab=a,abbbaba=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24448 ab:ab=a,abbbaba=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24449 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:17,nodes:8,pairs:1,completionMax:7us [11m12s] 24449 ab:ab=a,abbbaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24449 ab:ab=a,abbbaba=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24450 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:20,nodes:4,pairs:0,completionMax:2us [11m12s] 24450 ab:ab=a,abbbabb=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24450 ab:ab=a,abbbabb=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24451 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:18,nodes:6,pairs:1,completionMax:4us [11m12s] 24451 ab:ab=a,abbbabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24451 ab:ab=a,abbbabb=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24452 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m12s] 24452 ab:ab=a,abbbbaa=a infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24452 ab:ab=a,abbbbaa=a infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24453 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:0,work:16,nodes:8,pairs:1,completionMax:6us [11m12s] 24453 ab:ab=a,abbbbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 a/b - - ab:aaaa=a,b=aaa [11m12s] from: 24453 ab:ab=a,abbbbaa=b finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:a4=a,b=a3;saturation:a:a3=1;noncancellative:aaa,1,a,a;smith:3 to: 61 ab:aa=b,bb=a finite:4;idempotents:1,aaa;center:1,a,aa,aaa;commutative:ab:b4=b,a=b2;saturation:a:a3=1;noncancellative:bbb,1,bbb,bbb;smith:3 a=b,b=bbb [11m12s] # 24454 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:19,nodes:4,pairs:0,completionMax:1us [11m12s] 24454 ab:ab=a,abbbbab=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24454 ab:ab=a,abbbbab=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24455 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:17,nodes:6,pairs:1,completionMax:8us [11m12s] 24455 ab:ab=a,abbbbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24455 ab:ab=a,abbbbab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24456 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:1us [11m12s] 24456 ab:ab=a,abbbbba=a infinite ab - - ab:aa=a,ab=a [11m12s] from: 24456 ab:ab=a,abbbbba=a infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24457 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:0,work:16,nodes:6,pairs:1,completionMax:4us [11m12s] 24457 ab:ab=a,abbbbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a/b - - ab:aaa=a,b=aa [11m12s] from: 24457 ab:ab=a,abbbbba=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 to: 59 ab:aa=b,ab=a finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a,b=a2;saturation:a:a2=1;noncancellative:aa,1,a,a;smith:2 a=a,b=aa [11m12s] # 24458 solved: rounds:0,rules:1,peak:1,longest:2,steps:6,word:0,work:12,nodes:4,pairs:0,completionMax:1us [11m12s] 24458 ab:ab=a,abbbbbb=a infinite ab - - ab:ab=a [11m12s] from: 24458 ab:ab=a,abbbbbb=a infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24459 solved: rounds:1,rules:2,peak:2,longest:2,steps:6,word:0,work:16,nodes:4,pairs:1,completionMax:4us [11m12s] 24459 ab:ab=a,abbbbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: ab - - ab:b=a,aa=a [11m12s] from: 24459 ab:ab=a,abbbbbb=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: to: 236 ab:aa=a,aaa=b finite:2;idempotents:1,a;center:1,a;commutative:ab:a=b,b2=b;saturation::;noncancellative:b,1,b,b;smith: a=b,b=b [11m12s] # 24460 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:231,nodes:26,pairs:8,completionMax:29us [11m12s] 24460 ab:ab=a,baaaaaa=a infinite;commutative:ab:ab=a,a6=a;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 ab - - ab:ab=a,ba=a,aaaaaa=a [11m12s] # 24461 solved: rounds:1,rules:4,peak:4,longest:7,steps:1,word:0,work:63,nodes:26,pairs:2,completionMax:9us [11m12s] 24461 ab:ab=a,baaaaaa=b finite:13;idempotents:1,b,aaaaaa ab - - ab:ab=a,bb=b,aaaaaaa=a,baaaaaa=b [11m12s] # 24462 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:204,nodes:22,pairs:7,completionMax:33us [11m12s] 24462 ab:ab=a,baaaaab=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24462 ab:ab=a,baaaaab=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24463 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:63,nodes:22,pairs:2,completionMax:8us [11m12s] 24463 ab:ab=a,baaaaab=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24463 ab:ab=a,baaaaab=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24464 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:203,nodes:22,pairs:7,completionMax:30us [11m12s] 24464 ab:ab=a,baaaaba=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24464 ab:ab=a,baaaaba=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24465 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:62,nodes:22,pairs:2,completionMax:11us [11m12s] 24465 ab:ab=a,baaaaba=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24465 ab:ab=a,baaaaba=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24466 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:175,nodes:18,pairs:6,completionMax:22us [11m12s] 24466 ab:ab=a,baaaabb=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24466 ab:ab=a,baaaabb=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24467 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:61,nodes:18,pairs:2,completionMax:11us [11m12s] 24467 ab:ab=a,baaaabb=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24467 ab:ab=a,baaaabb=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24468 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:202,nodes:22,pairs:7,completionMax:24us [11m12s] 24468 ab:ab=a,baaabaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24468 ab:ab=a,baaabaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24469 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:61,nodes:22,pairs:2,completionMax:10us [11m12s] 24469 ab:ab=a,baaabaa=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24469 ab:ab=a,baaabaa=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24470 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:174,nodes:18,pairs:6,completionMax:30us [11m12s] 24470 ab:ab=a,baaabab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24470 ab:ab=a,baaabab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24471 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:60,nodes:18,pairs:2,completionMax:9us [11m12s] 24471 ab:ab=a,baaabab=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24471 ab:ab=a,baaabab=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24472 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:173,nodes:18,pairs:6,completionMax:28us [11m12s] 24472 ab:ab=a,baaabba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24472 ab:ab=a,baaabba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24473 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:59,nodes:18,pairs:2,completionMax:7us [11m12s] 24473 ab:ab=a,baaabba=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24473 ab:ab=a,baaabba=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24474 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:156,nodes:14,pairs:5,completionMax:25us [11m12s] 24474 ab:ab=a,baaabbb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24474 ab:ab=a,baaabbb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24475 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:57,nodes:14,pairs:2,completionMax:10us [11m12s] 24475 ab:ab=a,baaabbb=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24475 ab:ab=a,baaabbb=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24476 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:201,nodes:22,pairs:7,completionMax:36us [11m12s] 24476 ab:ab=a,baabaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24476 ab:ab=a,baabaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24477 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:60,nodes:22,pairs:2,completionMax:9us [11m12s] 24477 ab:ab=a,baabaaa=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24477 ab:ab=a,baabaaa=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24478 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:173,nodes:18,pairs:6,completionMax:22us [11m12s] 24478 ab:ab=a,baabaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24478 ab:ab=a,baabaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24479 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:59,nodes:18,pairs:2,completionMax:7us [11m12s] 24479 ab:ab=a,baabaab=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24479 ab:ab=a,baabaab=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24480 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:172,nodes:18,pairs:6,completionMax:23us [11m12s] 24480 ab:ab=a,baababa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24480 ab:ab=a,baababa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24481 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:58,nodes:18,pairs:2,completionMax:7us [11m12s] 24481 ab:ab=a,baababa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24481 ab:ab=a,baababa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24482 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:155,nodes:14,pairs:5,completionMax:17us [11m12s] 24482 ab:ab=a,baababb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24482 ab:ab=a,baababb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24483 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:56,nodes:14,pairs:2,completionMax:6us [11m12s] 24483 ab:ab=a,baababb=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24483 ab:ab=a,baababb=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24484 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:171,nodes:18,pairs:6,completionMax:18us [11m12s] 24484 ab:ab=a,baabbaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24484 ab:ab=a,baabbaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24485 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:57,nodes:18,pairs:2,completionMax:6us [11m12s] 24485 ab:ab=a,baabbaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24485 ab:ab=a,baabbaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24486 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:154,nodes:14,pairs:5,completionMax:28us [11m12s] 24486 ab:ab=a,baabbab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24486 ab:ab=a,baabbab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24487 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:55,nodes:14,pairs:2,completionMax:12us [11m12s] 24487 ab:ab=a,baabbab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24487 ab:ab=a,baabbab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24488 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:153,nodes:14,pairs:5,completionMax:19us [11m12s] 24488 ab:ab=a,baabbba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24488 ab:ab=a,baabbba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24489 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:54,nodes:14,pairs:2,completionMax:10us [11m12s] 24489 ab:ab=a,baabbba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24489 ab:ab=a,baabbba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24490 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:97,nodes:10,pairs:3,completionMax:18us [11m12s] 24490 ab:ab=a,baabbbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 24490 ab:ab=a,baabbbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 24491 solved: rounds:1,rules:4,peak:4,longest:3,steps:4,word:0,work:51,nodes:10,pairs:2,completionMax:8us [11m12s] 24491 ab:ab=a,baabbbb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24491 ab:ab=a,baabbbb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24492 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:200,nodes:22,pairs:7,completionMax:38us [11m12s] 24492 ab:ab=a,babaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24492 ab:ab=a,babaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24493 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:59,nodes:22,pairs:2,completionMax:15us [11m12s] 24493 ab:ab=a,babaaaa=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24493 ab:ab=a,babaaaa=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24494 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:172,nodes:18,pairs:6,completionMax:28us [11m12s] 24494 ab:ab=a,babaaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24494 ab:ab=a,babaaab=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24495 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:58,nodes:18,pairs:2,completionMax:9us [11m12s] 24495 ab:ab=a,babaaab=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24495 ab:ab=a,babaaab=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24496 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:171,nodes:18,pairs:6,completionMax:30us [11m12s] 24496 ab:ab=a,babaaba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24496 ab:ab=a,babaaba=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24497 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:57,nodes:18,pairs:2,completionMax:9us [11m12s] 24497 ab:ab=a,babaaba=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24497 ab:ab=a,babaaba=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24498 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:154,nodes:14,pairs:5,completionMax:27us [11m12s] 24498 ab:ab=a,babaabb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24498 ab:ab=a,babaabb=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24499 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:55,nodes:14,pairs:2,completionMax:9us [11m12s] 24499 ab:ab=a,babaabb=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24499 ab:ab=a,babaabb=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24500 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:170,nodes:18,pairs:6,completionMax:32us [11m12s] 24500 ab:ab=a,bababaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24500 ab:ab=a,bababaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24501 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:56,nodes:18,pairs:2,completionMax:9us [11m12s] 24501 ab:ab=a,bababaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24501 ab:ab=a,bababaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24502 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:153,nodes:14,pairs:5,completionMax:23us [11m12s] 24502 ab:ab=a,bababab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24502 ab:ab=a,bababab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24503 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:54,nodes:14,pairs:2,completionMax:8us [11m12s] 24503 ab:ab=a,bababab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24503 ab:ab=a,bababab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24504 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:152,nodes:14,pairs:5,completionMax:20us [11m12s] 24504 ab:ab=a,bababba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24504 ab:ab=a,bababba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24505 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:53,nodes:14,pairs:2,completionMax:7us [11m12s] 24505 ab:ab=a,bababba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24505 ab:ab=a,bababba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24506 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:96,nodes:10,pairs:3,completionMax:16us [11m12s] 24506 ab:ab=a,bababbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 24506 ab:ab=a,bababbb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 24507 solved: rounds:1,rules:4,peak:4,longest:3,steps:4,word:0,work:50,nodes:10,pairs:2,completionMax:7us [11m12s] 24507 ab:ab=a,bababbb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24507 ab:ab=a,bababbb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24508 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:169,nodes:18,pairs:6,completionMax:23us [11m12s] 24508 ab:ab=a,babbaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24508 ab:ab=a,babbaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24509 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:55,nodes:18,pairs:2,completionMax:7us [11m12s] 24509 ab:ab=a,babbaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24509 ab:ab=a,babbaaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24510 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:152,nodes:14,pairs:5,completionMax:21us [11m12s] 24510 ab:ab=a,babbaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24510 ab:ab=a,babbaab=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24511 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:53,nodes:14,pairs:2,completionMax:7us [11m12s] 24511 ab:ab=a,babbaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24511 ab:ab=a,babbaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24512 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:151,nodes:14,pairs:5,completionMax:24us [11m12s] 24512 ab:ab=a,babbaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24512 ab:ab=a,babbaba=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24513 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:52,nodes:14,pairs:2,completionMax:10us [11m12s] 24513 ab:ab=a,babbaba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24513 ab:ab=a,babbaba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24514 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:95,nodes:10,pairs:3,completionMax:23us [11m12s] 24514 ab:ab=a,babbabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 24514 ab:ab=a,babbabb=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 24515 solved: rounds:1,rules:4,peak:4,longest:3,steps:4,word:0,work:49,nodes:10,pairs:2,completionMax:8us [11m12s] 24515 ab:ab=a,babbabb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24515 ab:ab=a,babbabb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24516 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:150,nodes:14,pairs:5,completionMax:27us [11m12s] 24516 ab:ab=a,babbbaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 24516 ab:ab=a,babbbaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24517 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:51,nodes:14,pairs:2,completionMax:7us [11m12s] 24517 ab:ab=a,babbbaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24517 ab:ab=a,babbbaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24518 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:94,nodes:10,pairs:3,completionMax:17us [11m12s] 24518 ab:ab=a,babbbab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 24518 ab:ab=a,babbbab=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 24519 solved: rounds:1,rules:4,peak:4,longest:3,steps:4,word:0,work:48,nodes:10,pairs:2,completionMax:8us [11m12s] 24519 ab:ab=a,babbbab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24519 ab:ab=a,babbbab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24520 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:93,nodes:10,pairs:3,completionMax:15us [11m12s] 24520 ab:ab=a,babbbba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 24520 ab:ab=a,babbbba=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 24521 solved: rounds:1,rules:4,peak:4,longest:3,steps:4,word:0,work:47,nodes:10,pairs:2,completionMax:6us [11m12s] 24521 ab:ab=a,babbbba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24521 ab:ab=a,babbbba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24522 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:19,nodes:6,pairs:0,completionMax:2us [11m12s] 24522 ab:ab=a,babbbbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 24522 ab:ab=a,babbbbb=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 24523 solved: rounds:1,rules:4,peak:4,longest:2,steps:5,word:0,work:43,nodes:6,pairs:2,completionMax:5us [11m12s] 24523 ab:ab=a,babbbbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24523 ab:ab=a,babbbbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24524 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:219,nodes:24,pairs:7,completionMax:36us [11m12s] 24524 ab:ab=a,bbaaaaa=a infinite ab - - ab:ab=a,bba=a,aaaaa=a [11m12s] # 24525 solved: rounds:2,rules:4,peak:4,longest:7,steps:1,word:0,work:95,nodes:24,pairs:4,completionMax:20us [11m12s] 24525 ab:ab=a,bbaaaaa=b finite:11;idempotents:1,b,aaaaa ab - - ab:ab=a,bb=b,aaaaaa=a,baaaaa=b [11m12s] from: 24525 ab:ab=a,bbaaaaa=b finite:11;idempotents:1,b,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=b [11m12s] # 24526 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:190,nodes:20,pairs:6,completionMax:27us [11m12s] 24526 ab:ab=a,bbaaaab=a infinite ab - - ab:ab=a,bba=a,aaaa=a [11m12s] from: 24526 ab:ab=a,bbaaaab=a infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=a,b=b [11m12s] # 24527 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:90,nodes:20,pairs:4,completionMax:17us [11m12s] 24527 ab:ab=a,bbaaaab=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24527 ab:ab=a,bbaaaab=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24528 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:189,nodes:20,pairs:6,completionMax:24us [11m12s] 24528 ab:ab=a,bbaaaba=a infinite ab - - ab:ab=a,bba=a,aaaa=a [11m12s] from: 24528 ab:ab=a,bbaaaba=a infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=a,b=b [11m12s] # 24529 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:89,nodes:20,pairs:4,completionMax:14us [11m12s] 24529 ab:ab=a,bbaaaba=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24529 ab:ab=a,bbaaaba=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24530 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:171,nodes:16,pairs:5,completionMax:25us [11m12s] 24530 ab:ab=a,bbaaabb=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24530 ab:ab=a,bbaaabb=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24531 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:83,nodes:16,pairs:4,completionMax:15us [11m12s] 24531 ab:ab=a,bbaaabb=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24531 ab:ab=a,bbaaabb=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24532 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:188,nodes:20,pairs:6,completionMax:27us [11m12s] 24532 ab:ab=a,bbaabaa=a infinite ab - - ab:ab=a,bba=a,aaaa=a [11m12s] from: 24532 ab:ab=a,bbaabaa=a infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=a,b=b [11m12s] # 24533 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:88,nodes:20,pairs:4,completionMax:16us [11m12s] 24533 ab:ab=a,bbaabaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24533 ab:ab=a,bbaabaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24534 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:170,nodes:16,pairs:5,completionMax:25us [11m12s] 24534 ab:ab=a,bbaabab=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24534 ab:ab=a,bbaabab=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24535 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:82,nodes:16,pairs:4,completionMax:14us [11m12s] 24535 ab:ab=a,bbaabab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24535 ab:ab=a,bbaabab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24536 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:169,nodes:16,pairs:5,completionMax:22us [11m12s] 24536 ab:ab=a,bbaabba=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24536 ab:ab=a,bbaabba=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24537 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:81,nodes:16,pairs:4,completionMax:14us [11m12s] 24537 ab:ab=a,bbaabba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24537 ab:ab=a,bbaabba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24538 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:106,nodes:12,pairs:3,completionMax:17us [11m12s] 24538 ab:ab=a,bbaabbb=a infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 24538 ab:ab=a,bbaabbb=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 24539 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:74,nodes:12,pairs:4,completionMax:20us [11m12s] 24539 ab:ab=a,bbaabbb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24539 ab:ab=a,bbaabbb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24540 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:187,nodes:20,pairs:6,completionMax:23us [11m12s] 24540 ab:ab=a,bbabaaa=a infinite ab - - ab:ab=a,bba=a,aaaa=a [11m12s] from: 24540 ab:ab=a,bbabaaa=a infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=a,b=b [11m12s] # 24541 solved: rounds:2,rules:4,peak:4,longest:6,steps:1,word:0,work:87,nodes:20,pairs:4,completionMax:14us [11m12s] 24541 ab:ab=a,bbabaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24541 ab:ab=a,bbabaaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24542 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:169,nodes:16,pairs:5,completionMax:20us [11m12s] 24542 ab:ab=a,bbabaab=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24542 ab:ab=a,bbabaab=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24543 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:81,nodes:16,pairs:4,completionMax:11us [11m12s] 24543 ab:ab=a,bbabaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24543 ab:ab=a,bbabaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24544 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:168,nodes:16,pairs:5,completionMax:16us [11m12s] 24544 ab:ab=a,bbababa=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24544 ab:ab=a,bbababa=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24545 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:80,nodes:16,pairs:4,completionMax:10us [11m12s] 24545 ab:ab=a,bbababa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24545 ab:ab=a,bbababa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24546 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:105,nodes:12,pairs:3,completionMax:12us [11m12s] 24546 ab:ab=a,bbababb=a infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 24546 ab:ab=a,bbababb=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 24547 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:73,nodes:12,pairs:4,completionMax:9us [11m12s] 24547 ab:ab=a,bbababb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24547 ab:ab=a,bbababb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24548 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:167,nodes:16,pairs:5,completionMax:28us [11m12s] 24548 ab:ab=a,bbabbaa=a infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 24548 ab:ab=a,bbabbaa=a infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 24549 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:79,nodes:16,pairs:4,completionMax:19us [11m12s] 24549 ab:ab=a,bbabbaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24549 ab:ab=a,bbabbaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24550 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:104,nodes:12,pairs:3,completionMax:14us [11m12s] 24550 ab:ab=a,bbabbab=a infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 24550 ab:ab=a,bbabbab=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 24551 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:72,nodes:12,pairs:4,completionMax:11us [11m12s] 24551 ab:ab=a,bbabbab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24551 ab:ab=a,bbabbab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24552 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:103,nodes:12,pairs:3,completionMax:11us [11m12s] 24552 ab:ab=a,bbabbba=a infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 24552 ab:ab=a,bbabbba=a infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 24553 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:71,nodes:12,pairs:4,completionMax:9us [11m12s] 24553 ab:ab=a,bbabbba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24553 ab:ab=a,bbabbba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24554 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:23,nodes:8,pairs:0,completionMax:1us [11m12s] 24554 ab:ab=a,bbabbbb=a infinite ab - - ab:ab=a,bba=a [11m12s] from: 24554 ab:ab=a,bbabbbb=a infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [11m12s] # 24555 solved: rounds:2,rules:4,peak:4,longest:3,steps:4,word:0,work:63,nodes:8,pairs:4,completionMax:8us [11m12s] 24555 ab:ab=a,bbabbbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24555 ab:ab=a,bbabbbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24556 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:203,nodes:22,pairs:6,completionMax:25us [11m12s] 24556 ab:ab=a,bbbaaaa=a infinite ab - - ab:ab=a,aaaa=a,bbba=a [11m12s] # 24557 solved: rounds:2,rules:4,peak:4,longest:7,steps:2,word:0,work:105,nodes:22,pairs:5,completionMax:15us [11m12s] 24557 ab:ab=a,bbbaaaa=b finite:9;idempotents:1,b,aaaa ab - - ab:ab=a,bb=b,aaaaa=a,baaaa=b [11m12s] from: 24557 ab:ab=a,bbbaaaa=b finite:9;idempotents:1,b,aaaa to: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa a=a,b=b [11m12s] # 24558 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:184,nodes:18,pairs:5,completionMax:29us [11m12s] 24558 ab:ab=a,bbbaaab=a infinite ab - - ab:ab=a,aaa=a,bbba=a [11m12s] from: 24558 ab:ab=a,bbbaaab=a infinite to: 8824 ab:ab=a,bbbaaa=a infinite a=a,b=b [11m12s] # 24559 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:97,nodes:18,pairs:5,completionMax:16us [11m12s] 24559 ab:ab=a,bbbaaab=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24559 ab:ab=a,bbbaaab=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24560 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:183,nodes:18,pairs:5,completionMax:23us [11m12s] 24560 ab:ab=a,bbbaaba=a infinite ab - - ab:ab=a,aaa=a,bbba=a [11m12s] from: 24560 ab:ab=a,bbbaaba=a infinite to: 8824 ab:ab=a,bbbaaa=a infinite a=a,b=b [11m12s] # 24561 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:96,nodes:18,pairs:5,completionMax:15us [11m12s] 24561 ab:ab=a,bbbaaba=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24561 ab:ab=a,bbbaaba=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24562 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:113,nodes:14,pairs:3,completionMax:14us [11m12s] 24562 ab:ab=a,bbbaabb=a infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 24562 ab:ab=a,bbbaabb=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 24563 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:87,nodes:14,pairs:5,completionMax:13us [11m12s] 24563 ab:ab=a,bbbaabb=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24563 ab:ab=a,bbbaabb=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24564 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:182,nodes:18,pairs:5,completionMax:23us [11m12s] 24564 ab:ab=a,bbbabaa=a infinite ab - - ab:ab=a,aaa=a,bbba=a [11m12s] from: 24564 ab:ab=a,bbbabaa=a infinite to: 8824 ab:ab=a,bbbaaa=a infinite a=a,b=b [11m12s] # 24565 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:95,nodes:18,pairs:5,completionMax:13us [11m12s] 24565 ab:ab=a,bbbabaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24565 ab:ab=a,bbbabaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24566 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:112,nodes:14,pairs:3,completionMax:19us [11m12s] 24566 ab:ab=a,bbbabab=a infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 24566 ab:ab=a,bbbabab=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 24567 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:86,nodes:14,pairs:5,completionMax:12us [11m12s] 24567 ab:ab=a,bbbabab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24567 ab:ab=a,bbbabab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24568 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:111,nodes:14,pairs:3,completionMax:18us [11m12s] 24568 ab:ab=a,bbbabba=a infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 24568 ab:ab=a,bbbabba=a infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 24569 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:85,nodes:14,pairs:5,completionMax:17us [11m12s] 24569 ab:ab=a,bbbabba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24569 ab:ab=a,bbbabba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24570 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:25,nodes:10,pairs:0,completionMax:3us [11m12s] 24570 ab:ab=a,bbbabbb=a infinite ab - - ab:ab=a,bbba=a [11m12s] from: 24570 ab:ab=a,bbbabbb=a infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [11m12s] # 24571 solved: rounds:2,rules:4,peak:4,longest:4,steps:3,word:0,work:75,nodes:10,pairs:5,completionMax:14us [11m12s] 24571 ab:ab=a,bbbabbb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24571 ab:ab=a,bbbabbb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24572 solved: rounds:3,rules:3,peak:5,longest:7,steps:4,word:0,work:195,nodes:20,pairs:5,completionMax:29us [11m12s] 24572 ab:ab=a,bbbbaaa=a infinite ab - - ab:ab=a,aaa=a,bbbba=a [11m12s] # 24573 solved: rounds:2,rules:4,peak:4,longest:7,steps:3,word:0,work:113,nodes:20,pairs:6,completionMax:21us [11m12s] 24573 ab:ab=a,bbbbaaa=b finite:7;idempotents:1,b,aaa ab - - ab:ab=a,bb=b,aaaa=a,baaa=b [11m12s] from: 24573 ab:ab=a,bbbbaaa=b finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=b [11m12s] # 24574 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:118,nodes:16,pairs:3,completionMax:17us [11m12s] 24574 ab:ab=a,bbbbaab=a infinite ab - - ab:aa=a,ab=a,bbbba=a [11m12s] from: 24574 ab:ab=a,bbbbaab=a infinite to: 8832 ab:ab=a,bbbbaa=a infinite a=a,b=b [11m12s] # 24575 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:102,nodes:16,pairs:6,completionMax:17us [11m12s] 24575 ab:ab=a,bbbbaab=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24575 ab:ab=a,bbbbaab=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24576 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:117,nodes:16,pairs:3,completionMax:16us [11m12s] 24576 ab:ab=a,bbbbaba=a infinite ab - - ab:aa=a,ab=a,bbbba=a [11m12s] from: 24576 ab:ab=a,bbbbaba=a infinite to: 8832 ab:ab=a,bbbbaa=a infinite a=a,b=b [11m12s] # 24577 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:101,nodes:16,pairs:6,completionMax:16us [11m12s] 24577 ab:ab=a,bbbbaba=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24577 ab:ab=a,bbbbaba=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24578 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:25,nodes:12,pairs:0,completionMax:3us [11m12s] 24578 ab:ab=a,bbbbabb=a infinite ab - - ab:ab=a,bbbba=a [11m12s] from: 24578 ab:ab=a,bbbbabb=a infinite to: 2996 ab:ab=a,bbbba=a infinite a=a,b=b [11m12s] # 24579 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:89,nodes:12,pairs:6,completionMax:14us [11m12s] 24579 ab:ab=a,bbbbabb=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24579 ab:ab=a,bbbbabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24580 solved: rounds:3,rules:3,peak:4,longest:7,steps:5,word:0,work:121,nodes:18,pairs:3,completionMax:21us [11m12s] 24580 ab:ab=a,bbbbbaa=a infinite ab - - ab:aa=a,ab=a,bbbbba=a [11m12s] # 24581 solved: rounds:2,rules:4,peak:4,longest:7,steps:4,word:0,work:119,nodes:18,pairs:7,completionMax:17us [11m12s] 24581 ab:ab=a,bbbbbaa=b finite:5;idempotents:1,b,aa ab - - ab:ab=a,bb=b,aaa=a,baa=b [11m12s] from: 24581 ab:ab=a,bbbbbaa=b finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=b [11m12s] # 24582 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:23,nodes:14,pairs:0,completionMax:2us [11m12s] 24582 ab:ab=a,bbbbbab=a infinite ab - - ab:ab=a,bbbbba=a [11m12s] from: 24582 ab:ab=a,bbbbbab=a infinite to: 8836 ab:ab=a,bbbbba=a infinite a=a,b=b [11m12s] # 24583 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:0,work:105,nodes:14,pairs:7,completionMax:14us [11m12s] 24583 ab:ab=a,bbbbbab=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24583 ab:ab=a,bbbbbab=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24584 solved: rounds:0,rules:2,peak:2,longest:7,steps:5,word:0,work:19,nodes:16,pairs:0,completionMax:2us [11m12s] 24584 ab:ab=a,bbbbbba=a infinite ab - - ab:ab=a,bbbbbba=a [11m12s] # 24585 solved: rounds:2,rules:4,peak:4,longest:7,steps:5,word:0,work:123,nodes:16,pairs:8,completionMax:16us [11m12s] 24585 ab:ab=a,bbbbbba=b finite:3;idempotents:1,a,b ab - - ab:aa=a,ab=a,ba=b,bb=b [11m12s] from: 24585 ab:ab=a,bbbbbba=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b a=a,b=b [11m12s] # 24586 solved: rounds:1,rules:2,peak:2,longest:8,steps:7,word:6,work:449,nodes:16,pairs:1,completionMax:14us [11m12s] 24586 ab:ab=a,bbbbbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b7;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: b/a - - ab:bbbbbbbb=bbbbbbb,a=bbbbbbb [11m12s] from: 24586 ab:ab=a,bbbbbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b7;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=bbbbbbb,b=b [11m12s] # 24587 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:0,work:28,nodes:16,pairs:0,completionMax:6us [11m12s] 24587 ab:ab=a,bbbbbbb=b infinite ab - - ab:ab=a,bbbbbbb=b [11m12s] # 24588 solved: rounds:0,rules:1,peak:1,longest:2,steps:5,word:0,work:16,nodes:4,pairs:0,completionMax:1us [11m12s] 24588 ab:aa=a,aaaaaa=aa infinite ab - - ab:aa=a [11m12s] from: 24588 ab:aa=a,aaaaaa=aa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 24589 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 24589 ab:aa=a,aaaaaa=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24589 ab:aa=a,aaaaaa=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24590 solved: rounds:1,rules:2,peak:2,longest:4,steps:5,word:2,work:44,nodes:8,pairs:2,completionMax:8us [11m12s] 24590 ab:aa=a,aaaaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 b/a - - ab:bbbb=bb,a=bb [11m12s] from: 24590 ab:aa=a,aaaaaa=bb finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 to: 57 ab:aa=a,bb=a finite:4;idempotents:1,bb;center:1,b,bb,bbb;commutative:ab:b4=b2,a=b2;saturation:a:a2=1;noncancellative:bb,1,bbb,bbb;smith:2 a=bb,b=b [11m12s] # 24591 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:0,completionMax:3us [11m12s] 24591 ab:aa=a,aaaaab=aa infinite ab - - ab:aa=a,ab=a [11m12s] from: 24591 ab:aa=a,aaaaab=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24592 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:2us [11m12s] 24592 ab:aa=a,aaaaab=ab infinite ab - - ab:aa=a [11m12s] from: 24592 ab:aa=a,aaaaab=ab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 24593 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:19,nodes:6,pairs:0,completionMax:2us [11m12s] 24593 ab:aa=a,aaaaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [11m12s] from: 24593 ab:aa=a,aaaaab=ba infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [11m12s] # 24594 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:47,nodes:8,pairs:1,completionMax:6us [11m12s] 24594 ab:aa=a,aaaaab=bb finite:6;idempotents:1,a,bb,bba ba - - ab:ab=bb,aa=a,bbb=bb [11m12s] from: 24594 ab:aa=a,aaaaab=bb finite:6;idempotents:1,a,bb,bba to: 958 ab:aa=a,aab=bb finite:6;idempotents:1,a,bb,bba a=a,b=b [11m12s] # 24595 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:6,pairs:0,completionMax:8us [11m12s] 24595 ab:aa=a,aaaaba=aa infinite ab - - ab:aa=a,aba=a [11m12s] from: 24595 ab:aa=a,aaaaba=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 24596 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:61,nodes:9,pairs:5,completionMax:13us [11m12s] 24596 ab:aa=a,aaaaba=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 24596 ab:aa=a,aaaaba=ab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 24597 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:72,nodes:12,pairs:5,completionMax:14us [11m12s] 24597 ab:aa=a,aaaaba=ba infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [11m12s] from: 24597 ab:aa=a,aaaaba=ba infinite to: 3009 ab:aa=a,aaba=ba infinite a=a,b=b,c=c [11m12s] # 24598 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:104,nodes:10,pairs:1,completionMax:8us [11m12s] 24598 ab:aa=a,aaaaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [11m12s] from: 24598 ab:aa=a,aaaaba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba to: 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a=a,b=b [11m12s] # 24599 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:1us [11m12s] 24599 ab:aa=a,aaaabb=aa infinite ab - - ab:aa=a,abb=a [11m12s] from: 24599 ab:aa=a,aaaabb=aa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [11m12s] # 24600 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:0,completionMax:3us [11m12s] 24600 ab:aa=a,aaaabb=ab infinite ab - - ab:aa=a,abb=ab [11m12s] from: 24600 ab:aa=a,aaaabb=ab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [11m12s] # 24601 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:93,nodes:12,pairs:1,completionMax:9us [11m12s] 24601 ab:aa=a,aaaabb=ba infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [11m12s] from: 24601 ab:aa=a,aaaabb=ba infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [11m12s] # 24602 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:16,nodes:6,pairs:0,completionMax:1us [11m12s] 24602 ab:aa=a,aaaabb=bb infinite ab - - ab:aa=a,abb=bb [11m12s] from: 24602 ab:aa=a,aaaabb=bb infinite to: 965 ab:aa=a,abb=bb infinite a=a,b=b [11m12s] # 24603 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:30,nodes:6,pairs:0,completionMax:3us [11m12s] 24603 ab:aa=a,aaabaa=aa infinite ab - - ab:aa=a,aba=a [11m12s] from: 24603 ab:aa=a,aaabaa=aa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 24604 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:63,nodes:9,pairs:5,completionMax:13us [11m12s] 24604 ab:aa=a,aaabaa=ab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 24604 ab:aa=a,aaabaa=ab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 24605 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:74,nodes:12,pairs:5,completionMax:11us [11m12s] 24605 ab:aa=a,aaabaa=ba infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [11m12s] from: 24605 ab:aa=a,aaabaa=ba infinite to: 3009 ab:aa=a,aaba=ba infinite a=a,b=b,c=c [11m12s] # 24606 solved: rounds:1,rules:3,peak:3,longest:4,steps:6,word:1,work:106,nodes:10,pairs:1,completionMax:9us [11m12s] 24606 ab:aa=a,aaabaa=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a/b - - ab:aa=a,bb=aba,abab=baba [11m12s] from: 24606 ab:aa=a,aaabaa=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba to: 961 ab:aa=a,aba=bb finite:8;idempotents:1,a,baba;center:1,aba,bab,baba a=a,b=b [11m12s] # 24607 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:67,nodes:8,pairs:5,completionMax:15us [11m12s] 24607 ab:aa=a,aaabab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24607 ab:aa=a,aaabab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24608 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 24608 ab:aa=a,aaabab=ab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 24608 ab:aa=a,aaabab=ab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 24609 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:299,nodes:14,pairs:12,completionMax:30us [11m12s] 24609 ab:aa=a,aaabab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 24609 ab:aa=a,aaabab=ba infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 24610 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:63,nodes:14,pairs:2,completionMax:8us [11m12s] 24610 ab:aa=a,aaabab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [11m12s] from: 24610 ab:aa=a,aaabab=bb infinite to: 3018 ab:aa=a,abab=bb infinite a=a,b=b [11m12s] # 24611 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:4us [11m12s] 24611 ab:aa=a,aaabba=aa infinite ab - - ab:aa=a,abba=a [11m12s] from: 24611 ab:aa=a,aaabba=aa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 24612 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:254,nodes:10,pairs:10,completionMax:25us [11m12s] 24612 ab:aa=a,aaabba=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 24612 ab:aa=a,aaabba=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 24613 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:288,nodes:14,pairs:10,completionMax:35us [11m12s] 24613 ab:aa=a,aaabba=ba infinite ab - - ab:aa=a,aba=ba,bba=ba [11m12s] from: 24613 ab:aa=a,aaabba=ba infinite to: 3020 ab:aa=a,abba=ab infinite anti:a=a,b=b [11m12s] # 24614 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:0,work:63,nodes:12,pairs:3,completionMax:14us [11m12s] 24614 ab:aa=a,aaabba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb [11m12s] from: 24614 ab:aa=a,aaabba=bb infinite to: 3021 ab:aa=a,abba=bb infinite a=a,b=b [11m12s] # 24615 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:2us [11m12s] 24615 ab:aa=a,aaabbb=aa infinite ab - - ab:aa=a,abbb=a [11m12s] from: 24615 ab:aa=a,aaabbb=aa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [11m12s] # 24616 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:3us [11m12s] 24616 ab:aa=a,aaabbb=ab infinite ab - - ab:aa=a,abbb=ab [11m12s] from: 24616 ab:aa=a,aaabbb=ab infinite to: 3023 ab:aa=a,abbb=ab infinite a=a,b=b [11m12s] # 24617 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:181,nodes:22,pairs:1,completionMax:13us [11m12s] 24617 ab:aa=a,aaabbb=ba infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [11m12s] from: 24617 ab:aa=a,aaabbb=ba infinite to: 3024 ab:aa=a,abbb=ba infinite a=a,b=b [11m12s] # 24618 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:10,pairs:2,completionMax:8us [11m12s] 24618 ab:aa=a,aaabbb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [11m12s] from: 24618 ab:aa=a,aaabbb=bb infinite to: 3025 ab:aa=a,abbb=bb infinite a=a,b=b [11m12s] # 24619 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:69,nodes:8,pairs:5,completionMax:12us [11m12s] 24619 ab:aa=a,aabaab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24619 ab:aa=a,aabaab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24620 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 24620 ab:aa=a,aabaab=ab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 24620 ab:aa=a,aabaab=ab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 24621 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:301,nodes:14,pairs:12,completionMax:23us [11m12s] 24621 ab:aa=a,aabaab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 24621 ab:aa=a,aabaab=ba infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 24622 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:65,nodes:14,pairs:2,completionMax:11us [11m12s] 24622 ab:aa=a,aabaab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [11m12s] from: 24622 ab:aa=a,aabaab=bb infinite to: 3018 ab:aa=a,abab=bb infinite a=a,b=b [11m12s] # 24623 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 24623 ab:aa=a,aababa=aa infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24623 ab:aa=a,aababa=aa infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24624 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:467,nodes:14,pairs:18,completionMax:38us [11m12s] 24624 ab:aa=a,aababa=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 24624 ab:aa=a,aababa=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 24625 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:361,nodes:18,pairs:5,completionMax:29us [11m12s] 24625 ab:aa=a,aababa=ba infinite ab - - ab:aa=a,aba=ba,bba=ba [11m12s] from: 24625 ab:aa=a,aababa=ba infinite to: 3020 ab:aa=a,abba=ab infinite anti:a=a,b=b [11m12s] # 24626 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:82,nodes:14,pairs:4,completionMax:12us [11m12s] 24626 ab:aa=a,aababa=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,ababa=bb [11m12s] from: 24626 ab:aa=a,aababa=bb infinite to: 8876 ab:aa=a,ababa=bb infinite a=a,b=b [11m12s] # 24627 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 24627 ab:aa=a,aababb=aa infinite ab - - ab:aa=a,ababb=a [11m12s] from: 24627 ab:aa=a,aababb=aa infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 24628 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 24628 ab:aa=a,aababb=ab infinite ab - - ab:aa=a,ababb=ab [11m12s] from: 24628 ab:aa=a,aababb=ab infinite to: 8878 ab:aa=a,ababb=ab infinite a=a,b=b [11m12s] # 24629 solved: rounds:3,rules:5,peak:5,longest:5,steps:2,word:0,work:203,nodes:18,pairs:8,completionMax:25us [11m12s] 24629 ab:aa=a,aababb=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,babb=ba,bbba=ba [11m12s] from: 24629 ab:aa=a,aababb=ba infinite to: 8879 ab:aa=a,ababb=ba infinite a=a,b=b [11m12s] # 24630 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:56,nodes:10,pairs:2,completionMax:11us [11m12s] 24630 ab:aa=a,aababb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [11m12s] from: 24630 ab:aa=a,aababb=bb infinite to: 3025 ab:aa=a,abbb=bb infinite a=a,b=b [11m12s] # 24631 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:0,completionMax:3us [11m12s] 24631 ab:aa=a,aabbaa=aa infinite ab - - ab:aa=a,abba=a [11m12s] from: 24631 ab:aa=a,aabbaa=aa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 24632 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:257,nodes:10,pairs:10,completionMax:25us [11m12s] 24632 ab:aa=a,aabbaa=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 24632 ab:aa=a,aabbaa=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 24633 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:0,work:66,nodes:12,pairs:3,completionMax:11us [11m12s] 24633 ab:aa=a,aabbaa=bb infinite ab - - ab:aa=a,abb=bb,bba=bb [11m12s] from: 24633 ab:aa=a,aabbaa=bb infinite to: 3021 ab:aa=a,abba=bb infinite a=a,b=b [11m12s] # 24634 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:681,nodes:16,pairs:24,completionMax:64us [11m12s] 24634 ab:aa=a,aabbab=aa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24634 ab:aa=a,aabbab=aa infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24635 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:0,completionMax:3us [11m12s] 24635 ab:aa=a,aabbab=ab infinite ab - - ab:aa=a,abbab=ab [11m12s] from: 24635 ab:aa=a,aabbab=ab infinite to: 8882 ab:aa=a,abbab=ab infinite a=a,b=b [11m12s] # 24636 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:1150,nodes:26,pairs:23,completionMax:79us [11m12s] 24636 ab:aa=a,aabbab=ba infinite ab - - ab:aa=a,aba=ba,bba=bab,babb=ba [11m12s] from: 24636 ab:aa=a,aabbab=ba infinite to: 8883 ab:aa=a,abbab=ba infinite a=a,b=b [11m12s] # 24637 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:369,nodes:18,pairs:6,completionMax:30us [11m12s] 24637 ab:aa=a,aabbab=bb infinite ab - - ab:aa=a,abb=bb,bbab=bb,bbbb=bbb [11m12s] from: 24637 ab:aa=a,aabbab=bb infinite to: 8884 ab:aa=a,abbab=bb infinite a=a,b=b [11m12s] # 24638 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 24638 ab:aa=a,aabbba=aa infinite ab - - ab:aa=a,abbba=a [11m12s] from: 24638 ab:aa=a,aabbba=aa infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [11m12s] # 24639 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:0,work:368,nodes:12,pairs:10,completionMax:31us [11m12s] 24639 ab:aa=a,aabbba=ab infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=ab [11m12s] from: 24639 ab:aa=a,aabbba=ab infinite to: 8886 ab:aa=a,abbba=ab infinite a=a,b=b [11m12s] # 24640 solved: rounds:2,rules:4,peak:6,longest:6,steps:2,word:0,work:403,nodes:18,pairs:10,completionMax:27us [11m12s] 24640 ab:aa=a,aabbba=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,bbba=ba [11m12s] from: 24640 ab:aa=a,aabbba=ba infinite to: 8886 ab:aa=a,abbba=ab infinite anti:a=a,b=b [11m12s] # 24641 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:153,nodes:14,pairs:7,completionMax:16us [11m12s] 24641 ab:aa=a,aabbba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,bbb=bb [11m12s] from: 24641 ab:aa=a,aabbba=bb infinite to: 8887 ab:aa=a,abbba=bb infinite a=a,b=b [11m12s] # 24642 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 24642 ab:aa=a,aabbbb=aa infinite ab - - ab:aa=a,abbbb=a [11m12s] from: 24642 ab:aa=a,aabbbb=aa infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [11m12s] # 24643 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 24643 ab:aa=a,aabbbb=ab infinite ab - - ab:aa=a,abbbb=ab [11m12s] from: 24643 ab:aa=a,aabbbb=ab infinite to: 8889 ab:aa=a,abbbb=ab infinite a=a,b=b [11m12s] # 24644 solved: rounds:1,rules:3,peak:3,longest:17,steps:21,word:12,work:374,nodes:36,pairs:1,completionMax:15us [11m12s] 24644 ab:aa=a,aabbbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbbb=abbbb,ba=abbbb,aa=a [11m12s] from: 24644 ab:aa=a,aabbbb=ba infinite to: 8890 ab:aa=a,abbbb=ba infinite a=a,b=b [11m12s] # 24645 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:0,work:47,nodes:12,pairs:2,completionMax:11us [11m12s] 24645 ab:aa=a,aabbbb=bb infinite ab - - ab:aa=a,abb=bb,bbbb=bb [11m12s] from: 24645 ab:aa=a,aabbbb=bb infinite to: 8891 ab:aa=a,abbbb=bb infinite a=a,b=b [11m12s] # 24646 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:71,nodes:8,pairs:5,completionMax:15us [11m12s] 24646 ab:aa=a,abaaab=aa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 24646 ab:aa=a,abaaab=aa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 24647 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:8,pairs:0,completionMax:5us [11m12s] 24647 ab:aa=a,abaaab=ab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 24647 ab:aa=a,abaaab=ab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 24648 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:303,nodes:14,pairs:12,completionMax:37us [11m12s] 24648 ab:aa=a,abaaab=ba infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 24648 ab:aa=a,abaaab=ba infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 24649 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:67,nodes:14,pairs:2,completionMax:9us [11m12s] 24649 ab:aa=a,abaaab=bb infinite ab - - ab:aa=a,abb=bb,abab=bb,bbab=bbb [11m12s] from: 24649 ab:aa=a,abaaab=bb infinite to: 3018 ab:aa=a,abab=bb infinite a=a,b=b [11m12s] # 24650 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:4us [11m12s] 24650 ab:aa=a,abaaba=aa infinite ab - - ab:aa=a,ababa=a [11m12s] from: 24650 ab:aa=a,abaaba=aa infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 24651 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:469,nodes:14,pairs:18,completionMax:37us [11m12s] 24651 ab:aa=a,abaaba=ab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 24651 ab:aa=a,abaaba=ab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 24652 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:84,nodes:14,pairs:4,completionMax:15us [11m12s] 24652 ab:aa=a,abaaba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,ababa=bb [11m12s] from: 24652 ab:aa=a,abaaba=bb infinite to: 8876 ab:aa=a,ababa=bb infinite a=a,b=b [11m12s] # 24653 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 24653 ab:aa=a,abaabb=aa infinite ab - - ab:aa=a,ababb=a [11m12s] from: 24653 ab:aa=a,abaabb=aa infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 24654 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 24654 ab:aa=a,abaabb=ab infinite ab - - ab:aa=a,ababb=ab [11m12s] from: 24654 ab:aa=a,abaabb=ab infinite to: 8878 ab:aa=a,ababb=ab infinite a=a,b=b [11m12s] # 24655 solved: rounds:3,rules:5,peak:5,longest:5,steps:2,word:0,work:205,nodes:18,pairs:8,completionMax:29us [11m12s] 24655 ab:aa=a,abaabb=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,babb=ba,bbba=ba [11m12s] from: 24655 ab:aa=a,abaabb=ba infinite to: 8879 ab:aa=a,ababb=ba infinite a=a,b=b [11m12s] # 24656 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:58,nodes:10,pairs:2,completionMax:8us [11m12s] 24656 ab:aa=a,abaabb=bb infinite ab - - ab:aa=a,abb=bb,bbb=bb [11m12s] from: 24656 ab:aa=a,abaabb=bb infinite to: 3025 ab:aa=a,abbb=bb infinite a=a,b=b [11m12s] # 24657 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:187,nodes:14,pairs:11,completionMax:26us [11m12s] 24657 ab:aa=a,ababab=aa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24657 ab:aa=a,ababab=aa infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24658 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [11m12s] 24658 ab:aa=a,ababab=ab infinite ab - - ab:aa=a,ababab=ab [11m12s] # 24659 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:0,work:396,nodes:16,pairs:14,completionMax:36us [11m12s] 24659 ab:aa=a,ababab=ba infinite ab - - ab:aa=a,aba=ba,bba=bab,babb=ba [11m12s] from: 24659 ab:aa=a,ababab=ba infinite to: 8883 ab:aa=a,abbab=ba infinite a=a,b=b [11m12s] # 24660 solved: rounds:2,rules:5,peak:5,longest:6,steps:3,word:0,work:257,nodes:20,pairs:5,completionMax:19us [11m12s] 24660 ab:aa=a,ababab=bb finite:16;idempotents:1,a,bbb,bbba ab - - ab:aa=a,abb=bb,bbab=bbb,bbbb=bbb,ababab=bb [11m12s] # 24661 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:2us [11m12s] 24661 ab:aa=a,ababba=aa infinite ab - - ab:aa=a,ababba=a [11m12s] from: 24661 ab:aa=a,ababba=aa infinite to: 8606 ab:aa=a,ababba=a infinite a=a,b=b [11m12s] # 24662 solved: rounds:2,rules:4,peak:6,longest:7,steps:4,word:0,work:560,nodes:20,pairs:13,completionMax:51us [11m12s] 24662 ab:aa=a,ababba=ab infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=ab [11m12s] from: 24662 ab:aa=a,ababba=ab infinite to: 8886 ab:aa=a,abbba=ab infinite a=a,b=b [11m12s] # 24663 solved: rounds:2,rules:4,peak:5,longest:6,steps:3,word:0,work:368,nodes:22,pairs:9,completionMax:38us [11m12s] 24663 ab:aa=a,ababba=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,bbba=ba [11m12s] from: 24663 ab:aa=a,ababba=ba infinite to: 8886 ab:aa=a,abbba=ab infinite anti:a=a,b=b [11m12s] # 24664 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:179,nodes:16,pairs:7,completionMax:27us [11m12s] 24664 ab:aa=a,ababba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,bbb=bb [11m12s] from: 24664 ab:aa=a,ababba=bb infinite to: 8887 ab:aa=a,abbba=bb infinite a=a,b=b [11m12s] # 24665 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:3us [11m12s] 24665 ab:aa=a,ababbb=aa infinite ab - - ab:aa=a,ababbb=a [11m12s] from: 24665 ab:aa=a,ababbb=aa infinite to: 8608 ab:aa=a,ababbb=a infinite a=a,b=b [11m12s] # 24666 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:2us [11m12s] 24666 ab:aa=a,ababbb=ab infinite ab - - ab:aa=a,ababbb=ab [11m12s] # 24667 solved: rounds:4,rules:6,peak:7,longest:6,steps:3,word:0,work:628,nodes:26,pairs:20,completionMax:57us [11m12s] 24667 ab:aa=a,ababbb=ba infinite ab - - ab:aa=a,aba=ba,abba=bba,abbba=bbba,babbb=ba,bbbba=ba [11m12s] # 24668 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:49,nodes:12,pairs:2,completionMax:10us [11m12s] 24668 ab:aa=a,ababbb=bb infinite ab - - ab:aa=a,abb=bb,bbbb=bb [11m12s] from: 24668 ab:aa=a,ababbb=bb infinite to: 8891 ab:aa=a,abbbb=bb infinite a=a,b=b [11m12s] # 24669 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:684,nodes:16,pairs:24,completionMax:80us [11m12s] 24669 ab:aa=a,abbaab=aa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 24669 ab:aa=a,abbaab=aa infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 24670 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:26,nodes:10,pairs:0,completionMax:3us [11m12s] 24670 ab:aa=a,abbaab=ab infinite ab - - ab:aa=a,abbab=ab [11m12s] from: 24670 ab:aa=a,abbaab=ab infinite to: 8882 ab:aa=a,abbab=ab infinite a=a,b=b [11m12s] # 24671 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:1153,nodes:26,pairs:23,completionMax:59us [11m12s] 24671 ab:aa=a,abbaab=ba infinite ab - - ab:aa=a,aba=ba,bba=bab,babb=ba [11m12s] from: 24671 ab:aa=a,abbaab=ba infinite to: 8883 ab:aa=a,abbab=ba infinite a=a,b=b [11m12s] # 24672 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:372,nodes:18,pairs:6,completionMax:22us [11m12s] 24672 ab:aa=a,abbaab=bb infinite ab - - ab:aa=a,abb=bb,bbab=bb,bbbb=bbb [11m12s] from: 24672 ab:aa=a,abbaab=bb infinite to: 8884 ab:aa=a,abbab=bb infinite a=a,b=b [11m12s] # 24673 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:84,nodes:12,pairs:5,completionMax:10us [11m12s] 24673 ab:aa=a,abbabb=aa infinite ab - - ab:aa=a,abba=abb,abbbb=a [11m12s] from: 24673 ab:aa=a,abbabb=aa infinite to: 8612 ab:aa=a,abbabb=a infinite a=a,b=b [11m12s] # 24674 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:33,nodes:16,pairs:1,completionMax:9us [11m12s] 24674 ab:aa=a,abbabb=ab infinite ba - - ab:aa=a,ababb=abbab,abbabb=ab [11m12s] # 24675 solved: rounds:2,rules:4,peak:6,longest:8,steps:7,word:6,work:616,nodes:30,pairs:10,completionMax:40us [11m12s] 24675 ab:aa=a,abbabb=ba infinite b/a - - ab:babbbbbb=ba,bba=babbbb,aa=a,aba=ba [11m12s] # 24676 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:66,nodes:12,pairs:4,completionMax:9us [11m12s] 24676 ab:aa=a,abbabb=bb infinite ab - - ab:aa=a,abb=bb,bbbb=bb [11m12s] from: 24676 ab:aa=a,abbabb=bb infinite to: 8891 ab:aa=a,abbbb=bb infinite a=a,b=b [11m12s] # 24677 solved: rounds:3,rules:5,peak:7,longest:9,steps:4,word:0,work:1180,nodes:26,pairs:32,completionMax:79us [11m12s] 24677 ab:aa=a,abbbab=aa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=a [11m12s] from: 24677 ab:aa=a,abbbab=aa infinite to: 8614 ab:aa=a,abbbab=a infinite a=a,b=b [11m12s] # 24678 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:3us [11m12s] 24678 ab:aa=a,abbbab=ab infinite ab - - ab:aa=a,abbbab=ab [11m12s] # 24679 solved: rounds:3,rules:4,peak:9,longest:8,steps:4,word:0,work:1692,nodes:34,pairs:24,completionMax:127us [11m12s] 24679 ab:aa=a,abbbab=ba infinite ab - - ab:aa=a,aba=ba,bba=bab,babbb=ba [11m12s] # 24680 solved: rounds:4,rules:4,peak:5,longest:6,steps:2,word:0,work:610,nodes:22,pairs:14,completionMax:42us [11m12s] 24680 ab:aa=a,abbbab=bb infinite ab - - ab:aa=a,abb=bb,bbab=bbb,bbbb=bb [11m12s] # 24681 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:34,nodes:12,pairs:0,completionMax:2us [11m12s] 24681 ab:aa=a,abbbba=aa infinite ab - - ab:aa=a,abbbba=a [11m12s] from: 24681 ab:aa=a,abbbba=aa infinite to: 8616 ab:aa=a,abbbba=a infinite a=a,b=b [11m12s] # 24682 solved: rounds:3,rules:5,peak:9,longest:9,steps:4,word:0,work:1192,nodes:18,pairs:42,completionMax:87us [11m12s] 24682 ab:aa=a,abbbba=ab infinite ab - - ab:aa=a,aba=ab,abba=abb,abbba=abbb,abbbb=ab [11m12s] # 24683 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:142,nodes:16,pairs:7,completionMax:22us [11m12s] 24683 ab:aa=a,abbbba=bb infinite ab - - ab:aa=a,abb=bb,bba=bb,bbbb=bb [11m12s] # 24684 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m12s] 24684 ab:aa=a,abbbbb=aa infinite ab - - ab:aa=a,abbbbb=a [11m12s] from: 24684 ab:aa=a,abbbbb=aa infinite to: 8618 ab:aa=a,abbbbb=a infinite a=a,b=b [11m12s] # 24685 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:12,nodes:12,pairs:0,completionMax:1us [11m12s] 24685 ab:aa=a,abbbbb=ab infinite ab - - ab:aa=a,abbbbb=ab [11m12s] # 24686 solved: rounds:1,rules:3,peak:3,longest:26,steps:31,word:20,work:713,nodes:54,pairs:1,completionMax:16us [11m12s] 24686 ab:aa=a,abbbbb=ba infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbbbbbbb=abbbbb,ba=abbbbb,aa=a [11m12s] # 24687 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:0,work:52,nodes:14,pairs:2,completionMax:10us [11m12s] 24687 ab:aa=a,abbbbb=bb infinite ab - - ab:aa=a,abb=bb,bbbbb=bb [11m12s] # 24688 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:59,nodes:8,pairs:3,completionMax:10us [11m12s] 24688 ab:aa=a,baaaab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [11m12s] from: 24688 ab:aa=a,baaaab=aa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [11m12s] # 24689 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:25,nodes:8,pairs:0,completionMax:3us [11m12s] 24689 ab:aa=a,baaaab=ab infinite ab - - ab:aa=a,bab=ab [11m12s] from: 24689 ab:aa=a,baaaab=ab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [11m12s] # 24690 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:20,nodes:8,pairs:0,completionMax:3us [11m12s] 24690 ab:aa=a,baaaab=bb infinite ab - - ab:aa=a,bab=bb [11m12s] from: 24690 ab:aa=a,baaaab=bb infinite to: 968 ab:aa=a,bab=bb infinite a=a,b=b [11m12s] # 24691 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:777,nodes:24,pairs:5,completionMax:38us [11m12s] 24691 ab:aa=a,baaabb=aa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [11m12s] from: 24691 ab:aa=a,baaabb=aa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [11m12s] # 24692 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:298,nodes:12,pairs:10,completionMax:19us [11m12s] 24692 ab:aa=a,baaabb=ab infinite ab - - ab:aa=a,bab=abb,abbb=ab [11m12s] from: 24692 ab:aa=a,baaabb=ab infinite to: 3030 ab:aa=a,babb=ab infinite a=a,b=b [11m12s] # 24693 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:2us [11m12s] 24693 ab:aa=a,baaabb=ba infinite ab - - ab:aa=a,babb=ba [11m12s] from: 24693 ab:aa=a,baaabb=ba infinite to: 3031 ab:aa=a,babb=ba infinite a=a,b=b [11m12s] # 24694 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:2us [11m12s] 24694 ab:aa=a,baaabb=bb infinite ab - - ab:aa=a,babb=bb [11m12s] from: 24694 ab:aa=a,baaabb=bb infinite to: 3032 ab:aa=a,babb=bb infinite a=a,b=b [11m12s] # 24695 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:129,nodes:12,pairs:5,completionMax:10us [11m12s] 24695 ab:aa=a,baabab=aa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [11m12s] from: 24695 ab:aa=a,baabab=aa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [11m12s] # 24696 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:126,nodes:16,pairs:4,completionMax:10us [11m12s] 24696 ab:aa=a,baabab=ab infinite ab - - ab:aa=a,abab=bab,bbab=ab [11m12s] from: 24696 ab:aa=a,baabab=ab infinite to: 8900 ab:aa=a,babab=ab infinite a=a,b=b [11m12s] # 24697 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:125,nodes:12,pairs:6,completionMax:9us [11m12s] 24697 ab:aa=a,baabab=ba infinite ab - - ab:aa=a,baba=bab,babb=ba [11m12s] from: 24697 ab:aa=a,baabab=ba infinite to: 8900 ab:aa=a,babab=ab infinite anti:a=a,b=b [11m12s] # 24698 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:87,nodes:16,pairs:1,completionMax:6us [11m12s] 24698 ab:aa=a,baabab=bb infinite ab - - ab:aa=a,bbab=babb,babab=bb [11m12s] from: 24698 ab:aa=a,baabab=bb infinite to: 8901 ab:aa=a,babab=bb infinite a=a,b=b [11m12s] # 24699 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3783,nodes:46,pairs:33,completionMax:166us [11m12s] 24699 ab:aa=a,baabbb=aa infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [11m12s] from: 24699 ab:aa=a,baabbb=aa infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [11m12s] # 24700 solved: rounds:3,rules:3,peak:6,longest:8,steps:9,word:9,work:1338,nodes:28,pairs:12,completionMax:60us [11m12s] 24700 ab:aa=a,baabbb=ab infinite b/a - - ab:abbbbbbb=ab,bab=abbbbb,aa=a [11m12s] from: 24700 ab:aa=a,baabbb=ab infinite to: 8903 ab:aa=a,babbb=ab infinite a=a,b=b [11m12s] # 24701 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:23,nodes:12,pairs:0,completionMax:3us [11m12s] 24701 ab:aa=a,baabbb=ba infinite ab - - ab:aa=a,babbb=ba [11m12s] from: 24701 ab:aa=a,baabbb=ba infinite to: 8904 ab:aa=a,babbb=ba infinite a=a,b=b [11m12s] # 24702 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:18,nodes:12,pairs:0,completionMax:3us [11m12s] 24702 ab:aa=a,baabbb=bb infinite ab - - ab:aa=a,babbb=bb [11m12s] from: 24702 ab:aa=a,baabbb=bb infinite to: 8905 ab:aa=a,babbb=bb infinite a=a,b=b [11m12s] # 24703 solved: rounds:3,rules:4,peak:8,longest:8,steps:4,word:0,work:1279,nodes:32,pairs:48,completionMax:130us [11m12s] 24703 ab:aa=a,bababb=aa infinite ab - - ab:aa=a,aba=ba,bba=abb,abbbb=a [11m12s] from: 24703 ab:aa=a,bababb=aa infinite to: 8628 ab:aa=a,bababb=a infinite a=a,b=b [11m12s] # 24704 solved: rounds:3,rules:3,peak:4,longest:7,steps:12,word:0,work:628,nodes:16,pairs:14,completionMax:35us [11m12s] 24704 ab:aa=a,bababb=ab infinite ab - - ab:aa=a,bab=abb,abbbb=ab [11m12s] # 24705 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:22,nodes:14,pairs:0,completionMax:4us [11m12s] 24705 ab:aa=a,bababb=ba infinite ab - - ab:aa=a,bababb=ba [11m12s] # 24706 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [11m12s] 24706 ab:aa=a,bababb=bb infinite ab - - ab:aa=a,bababb=bb [11m12s] # 24707 solved: rounds:3,rules:3,peak:8,longest:7,steps:5,word:0,work:1358,nodes:30,pairs:31,completionMax:105us [11m12s] 24707 ab:aa=a,babbab=aa infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 ab - - ab:aa=a,ba=ab,abbbb=a [11m12s] from: 24707 ab:aa=a,babbab=aa infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 to: 8630 ab:aa=a,babbab=a infinite;commutative:ab:a2=a,ab4=a;saturation:a:a4=1;noncancellative:a,1,ab,ab;smith:4 a=a,b=b [11m12s] # 24708 solved: rounds:3,rules:4,peak:5,longest:6,steps:3,word:0,work:523,nodes:28,pairs:10,completionMax:40us [11m12s] 24708 ab:aa=a,babbab=ab infinite ab - - ab:aa=a,abab=bab,abbab=bbab,bbbab=ab [11m12s] # 24709 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:95,nodes:20,pairs:1,completionMax:9us [11m12s] 24709 ab:aa=a,babbab=bb infinite ab - - ab:aa=a,bbbab=babbb,babbab=bb [11m12s] # 24710 solved: rounds:4,rules:3,peak:16,longest:21,steps:15,word:30,work:18471,nodes:52,pairs:139,completionMax:472us [11m12s] 24710 ab:aa=a,babbbb=aa infinite b/a - - ab:abbbbbbbbbbbbbbbbbbbb=a,ba=abbbbbbbbbbbbbbbb,aa=a [11m12s] from: 24710 ab:aa=a,babbbb=aa infinite to: 8632 ab:aa=a,babbbb=a infinite a=a,b=b [11m12s] # 24711 solved: rounds:4,rules:3,peak:9,longest:14,steps:10,word:8,work:4026,nodes:44,pairs:36,completionMax:139us [11m12s] 24711 ab:aa=a,babbbb=ab infinite b/a - - ab:abbbbbbbbbbbbb=ab,bab=abbbbbbbbbb,aa=a [11m12s] # 24712 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:0,work:22,nodes:14,pairs:0,completionMax:3us [11m12s] 24712 ab:aa=a,babbbb=ba infinite ab - - ab:aa=a,babbbb=ba [11m12s] # 24713 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [11m12s] 24713 ab:aa=a,babbbb=bb infinite ab - - ab:aa=a,babbbb=bb [11m12s] # 24714 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:116,nodes:14,pairs:5,completionMax:15us [11m12s] 24714 ab:aa=a,bbaabb=aa infinite ab - - ab:aa=a,bba=abb,abbbb=a [11m12s] from: 24714 ab:aa=a,bbaabb=aa infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [11m12s] # 24715 solved: rounds:3,rules:4,peak:7,longest:6,steps:4,word:0,work:1182,nodes:30,pairs:20,completionMax:110us [11m12s] 24715 ab:aa=a,bbaabb=ab infinite ab - - ab:aa=a,abab=abb,bbab=abbb,abbbb=ab [11m12s] from: 24715 ab:aa=a,bbaabb=ab infinite to: 8907 ab:aa=a,bbabb=ab infinite a=a,b=b [11m12s] # 24716 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:29,nodes:12,pairs:0,completionMax:3us [11m12s] 24716 ab:aa=a,bbaabb=bb infinite ab - - ab:aa=a,bbabb=bb [11m12s] from: 24716 ab:aa=a,bbaabb=bb infinite to: 8908 ab:aa=a,bbabb=bb infinite a=a,b=b [11m12s] # 24717 solved: rounds:2,rules:4,peak:8,longest:19,steps:15,word:30,work:5205,nodes:48,pairs:10,completionMax:157us [11m12s] 24717 ab:aa=a,bbabbb=aa infinite b/a - - ab:abbbbbbbbbbbbbbb=a,bba=abbbbbbbbbbbb,aa=a,aba=abbbbbb [11m12s] from: 24717 ab:aa=a,bbabbb=aa infinite to: 8636 ab:aa=a,bbabbb=a infinite a=a,b=b [11m12s] # 24718 solved: rounds:3,rules:3,peak:6,longest:8,steps:7,word:0,work:1280,nodes:30,pairs:16,completionMax:85us [11m12s] 24718 ab:aa=a,bbabbb=ab infinite ab - - ab:aa=a,bbab=abbb,abbbbb=ab [11m12s] # 24719 solved: rounds:3,rules:4,peak:12,longest:20,steps:13,word:23,work:10001,nodes:56,pairs:48,completionMax:349us [11m12s] 24719 ab:aa=a,bbabbb=ba infinite b/a - - ab:babbbbbbbbbbbb=ba,bba=babbbbbbbbb,aa=a,baba=babbbbbbbbb [11m12s] # 24720 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:29,nodes:14,pairs:0,completionMax:4us [11m12s] 24720 ab:aa=a,bbabbb=bb infinite ab - - ab:aa=a,bbabbb=bb [11m12s] # 24721 solved: rounds:1,rules:2,peak:2,longest:12,steps:2,word:10,work:184,nodes:24,pairs:2,completionMax:17us [11m12s] 24721 ab:aa=a,bbbbbb=aa finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b6;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbbb,bbbbbbb;smith:6 b/a - - ab:bbbbbbbbbbbb=bbbbbb,a=bbbbbb [11m12s] from: 24721 ab:aa=a,bbbbbb=aa finite:12;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b6,a=b6;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbbbbb,bbbbbbb;smith:6 to: 6597 ab:aaa=b,bbbb=bb finite:12;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a6,b=a3;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaaaa,aaaaaaaa;smith:6 a=aaaaaa,b=a [11m12s] # 24722 solved: rounds:1,rules:3,peak:3,longest:11,steps:2,word:4,work:197,nodes:24,pairs:1,completionMax:12us [11m12s] 24722 ab:aa=a,bbbbbb=ab finite:22;idempotents:1,a,bbbbbbbbbb,bbbbbbbbbba b/a - - ab:bbbbbbbbbbb=bbbbbb,ab=bbbbbb,aa=a [11m12s] # 24723 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:28,nodes:14,pairs:0,completionMax:3us [11m12s] 24723 ab:aa=a,bbbbbb=bb infinite ab - - ab:aa=a,bbbbbb=bb [11m12s] # 24724 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [11m12s] 24724 ab:aa=b,aaaaaa=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaa=aa,b=aa [11m12s] from: 24724 ab:aa=b,aaaaaa=aa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 258 ab:aa=b,bbb=b finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a2,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a=a,b=aa [11m12s] # 24725 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:38,nodes:12,pairs:0,completionMax:4us [11m12s] 24725 ab:aa=b,aaaaaa=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [11m12s] from: 24725 ab:aa=b,aaaaaa=ab finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 24726 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:76,nodes:12,pairs:0,completionMax:5us [11m12s] 24726 ab:aa=b,aaaaaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 24726 ab:aa=b,aaaaaa=bb finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 24727 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:34,nodes:14,pairs:0,completionMax:5us [11m12s] 24727 ab:aa=b,aaaaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [11m12s] from: 24727 ab:aa=b,aaaaab=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [11m12s] # 24728 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:50,nodes:14,pairs:0,completionMax:6us [11m12s] 24728 ab:aa=b,aaaaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24728 ab:aa=b,aaaaab=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24729 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:49,nodes:14,pairs:0,completionMax:6us [11m12s] 24729 ab:aa=b,aaaaab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24729 ab:aa=b,aaaaab=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24730 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:4us [11m12s] 24730 ab:aa=b,aaaaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 24730 ab:aa=b,aaaaab=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 24731 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:33,nodes:14,pairs:0,completionMax:5us [11m12s] 24731 ab:aa=b,aaaaba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [11m12s] from: 24731 ab:aa=b,aaaaba=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [11m12s] # 24732 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:49,nodes:14,pairs:0,completionMax:4us [11m12s] 24732 ab:aa=b,aaaaba=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24732 ab:aa=b,aaaaba=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24733 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:48,nodes:14,pairs:0,completionMax:6us [11m12s] 24733 ab:aa=b,aaaaba=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24733 ab:aa=b,aaaaba=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24734 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:79,nodes:14,pairs:0,completionMax:5us [11m12s] 24734 ab:aa=b,aaaaba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 24734 ab:aa=b,aaaaba=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 24735 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:44,nodes:16,pairs:0,completionMax:6us [11m12s] 24735 ab:aa=b,aaaabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24735 ab:aa=b,aaaabb=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24736 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:62,nodes:16,pairs:0,completionMax:5us [11m12s] 24736 ab:aa=b,aaaabb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24736 ab:aa=b,aaaabb=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24737 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:61,nodes:16,pairs:0,completionMax:5us [11m12s] 24737 ab:aa=b,aaaabb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24737 ab:aa=b,aaaabb=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24738 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:80,nodes:16,pairs:0,completionMax:6us [11m12s] 24738 ab:aa=b,aaaabb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24738 ab:aa=b,aaaabb=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24739 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:32,nodes:14,pairs:0,completionMax:4us [11m12s] 24739 ab:aa=b,aaabaa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaa=aa,b=aa [11m12s] from: 24739 ab:aa=b,aaabaa=aa finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 913 ab:aa=b,abbb=b finite:7;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a2,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a=a,b=aa [11m12s] # 24740 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:48,nodes:14,pairs:0,completionMax:6us [11m12s] 24740 ab:aa=b,aaabaa=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24740 ab:aa=b,aaabaa=ab finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24741 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:1,work:47,nodes:14,pairs:0,completionMax:4us [11m12s] 24741 ab:aa=b,aaabaa=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 24741 ab:aa=b,aaabaa=ba finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 24742 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:78,nodes:14,pairs:0,completionMax:6us [11m12s] 24742 ab:aa=b,aaabaa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 24742 ab:aa=b,aaabaa=bb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 24743 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:43,nodes:16,pairs:0,completionMax:6us [11m12s] 24743 ab:aa=b,aaabab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24743 ab:aa=b,aaabab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24744 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:61,nodes:16,pairs:0,completionMax:6us [11m12s] 24744 ab:aa=b,aaabab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24744 ab:aa=b,aaabab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24745 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:60,nodes:16,pairs:0,completionMax:6us [11m12s] 24745 ab:aa=b,aaabab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24745 ab:aa=b,aaabab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24746 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:79,nodes:16,pairs:0,completionMax:6us [11m12s] 24746 ab:aa=b,aaabab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24746 ab:aa=b,aaabab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24747 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:42,nodes:16,pairs:0,completionMax:5us [11m12s] 24747 ab:aa=b,aaabba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24747 ab:aa=b,aaabba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24748 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:60,nodes:16,pairs:0,completionMax:5us [11m12s] 24748 ab:aa=b,aaabba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24748 ab:aa=b,aaabba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24749 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:59,nodes:16,pairs:0,completionMax:5us [11m12s] 24749 ab:aa=b,aaabba=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24749 ab:aa=b,aaabba=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24750 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:78,nodes:16,pairs:0,completionMax:5us [11m12s] 24750 ab:aa=b,aaabba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24750 ab:aa=b,aaabba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24751 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:54,nodes:18,pairs:0,completionMax:4us [11m12s] 24751 ab:aa=b,aaabbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24751 ab:aa=b,aaabbb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24752 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:74,nodes:18,pairs:0,completionMax:7us [11m12s] 24752 ab:aa=b,aaabbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24752 ab:aa=b,aaabbb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24753 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:73,nodes:18,pairs:0,completionMax:7us [11m12s] 24753 ab:aa=b,aaabbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24753 ab:aa=b,aaabbb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24754 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:94,nodes:18,pairs:0,completionMax:7us [11m12s] 24754 ab:aa=b,aaabbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24754 ab:aa=b,aaabbb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24755 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:42,nodes:16,pairs:0,completionMax:6us [11m12s] 24755 ab:aa=b,aabaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24755 ab:aa=b,aabaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24756 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:60,nodes:16,pairs:0,completionMax:6us [11m12s] 24756 ab:aa=b,aabaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24756 ab:aa=b,aabaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24757 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:59,nodes:16,pairs:0,completionMax:4us [11m12s] 24757 ab:aa=b,aabaab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24757 ab:aa=b,aabaab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24758 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:78,nodes:16,pairs:0,completionMax:9us [11m12s] 24758 ab:aa=b,aabaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24758 ab:aa=b,aabaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24759 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:41,nodes:16,pairs:0,completionMax:5us [11m12s] 24759 ab:aa=b,aababa=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24759 ab:aa=b,aababa=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24760 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:59,nodes:16,pairs:0,completionMax:6us [11m12s] 24760 ab:aa=b,aababa=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24760 ab:aa=b,aababa=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24761 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:0,completionMax:5us [11m12s] 24761 ab:aa=b,aababa=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24761 ab:aa=b,aababa=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24762 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:77,nodes:16,pairs:0,completionMax:5us [11m12s] 24762 ab:aa=b,aababa=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24762 ab:aa=b,aababa=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24763 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:53,nodes:18,pairs:0,completionMax:7us [11m12s] 24763 ab:aa=b,aababb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24763 ab:aa=b,aababb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24764 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:73,nodes:18,pairs:0,completionMax:4us [11m12s] 24764 ab:aa=b,aababb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24764 ab:aa=b,aababb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24765 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:72,nodes:18,pairs:0,completionMax:4us [11m12s] 24765 ab:aa=b,aababb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24765 ab:aa=b,aababb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24766 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:93,nodes:18,pairs:0,completionMax:5us [11m12s] 24766 ab:aa=b,aababb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24766 ab:aa=b,aababb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24767 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:40,nodes:16,pairs:0,completionMax:3us [11m12s] 24767 ab:aa=b,aabbaa=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24767 ab:aa=b,aabbaa=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24768 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:0,completionMax:5us [11m12s] 24768 ab:aa=b,aabbaa=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24768 ab:aa=b,aabbaa=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24769 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:76,nodes:16,pairs:0,completionMax:5us [11m12s] 24769 ab:aa=b,aabbaa=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24769 ab:aa=b,aabbaa=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24770 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:52,nodes:18,pairs:0,completionMax:6us [11m12s] 24770 ab:aa=b,aabbab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24770 ab:aa=b,aabbab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24771 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:72,nodes:18,pairs:0,completionMax:6us [11m12s] 24771 ab:aa=b,aabbab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24771 ab:aa=b,aabbab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24772 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:71,nodes:18,pairs:0,completionMax:5us [11m12s] 24772 ab:aa=b,aabbab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24772 ab:aa=b,aabbab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24773 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:92,nodes:18,pairs:0,completionMax:5us [11m12s] 24773 ab:aa=b,aabbab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24773 ab:aa=b,aabbab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24774 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:5us [11m12s] 24774 ab:aa=b,aabbba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24774 ab:aa=b,aabbba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24775 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:71,nodes:18,pairs:0,completionMax:4us [11m12s] 24775 ab:aa=b,aabbba=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24775 ab:aa=b,aabbba=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24776 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:4us [11m12s] 24776 ab:aa=b,aabbba=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24776 ab:aa=b,aabbba=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24777 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:91,nodes:18,pairs:0,completionMax:4us [11m12s] 24777 ab:aa=b,aabbba=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24777 ab:aa=b,aabbba=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24778 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:64,nodes:20,pairs:0,completionMax:6us [11m12s] 24778 ab:aa=b,aabbbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24778 ab:aa=b,aabbbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24779 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:86,nodes:20,pairs:0,completionMax:5us [11m12s] 24779 ab:aa=b,aabbbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24779 ab:aa=b,aabbbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24780 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:85,nodes:20,pairs:0,completionMax:7us [11m12s] 24780 ab:aa=b,aabbbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24780 ab:aa=b,aabbbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24781 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:108,nodes:20,pairs:0,completionMax:6us [11m12s] 24781 ab:aa=b,aabbbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24781 ab:aa=b,aabbbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24782 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:41,nodes:16,pairs:0,completionMax:5us [11m12s] 24782 ab:aa=b,abaaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24782 ab:aa=b,abaaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24783 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:59,nodes:16,pairs:0,completionMax:4us [11m12s] 24783 ab:aa=b,abaaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24783 ab:aa=b,abaaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24784 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:0,completionMax:4us [11m12s] 24784 ab:aa=b,abaaab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24784 ab:aa=b,abaaab=ba finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24785 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:77,nodes:16,pairs:0,completionMax:5us [11m12s] 24785 ab:aa=b,abaaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24785 ab:aa=b,abaaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24786 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:40,nodes:16,pairs:0,completionMax:4us [11m12s] 24786 ab:aa=b,abaaba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24786 ab:aa=b,abaaba=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24787 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:0,completionMax:4us [11m12s] 24787 ab:aa=b,abaaba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24787 ab:aa=b,abaaba=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24788 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:76,nodes:16,pairs:0,completionMax:7us [11m12s] 24788 ab:aa=b,abaaba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24788 ab:aa=b,abaaba=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24789 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:52,nodes:18,pairs:0,completionMax:6us [11m12s] 24789 ab:aa=b,abaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24789 ab:aa=b,abaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24790 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:72,nodes:18,pairs:0,completionMax:5us [11m12s] 24790 ab:aa=b,abaabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24790 ab:aa=b,abaabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24791 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:71,nodes:18,pairs:0,completionMax:5us [11m12s] 24791 ab:aa=b,abaabb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24791 ab:aa=b,abaabb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24792 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:92,nodes:18,pairs:0,completionMax:7us [11m12s] 24792 ab:aa=b,abaabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24792 ab:aa=b,abaabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24793 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:7us [11m12s] 24793 ab:aa=b,ababab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24793 ab:aa=b,ababab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24794 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:71,nodes:18,pairs:0,completionMax:7us [11m12s] 24794 ab:aa=b,ababab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24794 ab:aa=b,ababab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24795 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:5us [11m12s] 24795 ab:aa=b,ababab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24795 ab:aa=b,ababab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24796 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:91,nodes:18,pairs:0,completionMax:6us [11m12s] 24796 ab:aa=b,ababab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24796 ab:aa=b,ababab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24797 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:50,nodes:18,pairs:0,completionMax:9us [11m12s] 24797 ab:aa=b,ababba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24797 ab:aa=b,ababba=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24798 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:8us [11m12s] 24798 ab:aa=b,ababba=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24798 ab:aa=b,ababba=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24799 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:69,nodes:18,pairs:0,completionMax:6us [11m12s] 24799 ab:aa=b,ababba=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24799 ab:aa=b,ababba=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24800 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:90,nodes:18,pairs:0,completionMax:6us [11m12s] 24800 ab:aa=b,ababba=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24800 ab:aa=b,ababba=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24801 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:63,nodes:20,pairs:0,completionMax:5us [11m12s] 24801 ab:aa=b,ababbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24801 ab:aa=b,ababbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24802 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:85,nodes:20,pairs:0,completionMax:7us [11m12s] 24802 ab:aa=b,ababbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24802 ab:aa=b,ababbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24803 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:84,nodes:20,pairs:0,completionMax:6us [11m12s] 24803 ab:aa=b,ababbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24803 ab:aa=b,ababbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24804 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:107,nodes:20,pairs:0,completionMax:8us [11m12s] 24804 ab:aa=b,ababbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24804 ab:aa=b,ababbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24805 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:50,nodes:18,pairs:0,completionMax:6us [11m12s] 24805 ab:aa=b,abbaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24805 ab:aa=b,abbaab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24806 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:6us [11m12s] 24806 ab:aa=b,abbaab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24806 ab:aa=b,abbaab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24807 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:69,nodes:18,pairs:0,completionMax:5us [11m12s] 24807 ab:aa=b,abbaab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24807 ab:aa=b,abbaab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24808 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:90,nodes:18,pairs:0,completionMax:6us [11m12s] 24808 ab:aa=b,abbaab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24808 ab:aa=b,abbaab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24809 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:62,nodes:20,pairs:0,completionMax:7us [11m12s] 24809 ab:aa=b,abbabb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24809 ab:aa=b,abbabb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24810 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:84,nodes:20,pairs:0,completionMax:7us [11m12s] 24810 ab:aa=b,abbabb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24810 ab:aa=b,abbabb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24811 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:83,nodes:20,pairs:0,completionMax:5us [11m12s] 24811 ab:aa=b,abbabb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24811 ab:aa=b,abbabb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24812 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:106,nodes:20,pairs:0,completionMax:9us [11m12s] 24812 ab:aa=b,abbabb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24812 ab:aa=b,abbabb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24813 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:61,nodes:20,pairs:0,completionMax:6us [11m12s] 24813 ab:aa=b,abbbab=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24813 ab:aa=b,abbbab=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24814 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:83,nodes:20,pairs:0,completionMax:7us [11m12s] 24814 ab:aa=b,abbbab=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24814 ab:aa=b,abbbab=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24815 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:82,nodes:20,pairs:0,completionMax:7us [11m12s] 24815 ab:aa=b,abbbab=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24815 ab:aa=b,abbbab=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24816 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:105,nodes:20,pairs:0,completionMax:6us [11m12s] 24816 ab:aa=b,abbbab=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24816 ab:aa=b,abbbab=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24817 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:60,nodes:20,pairs:0,completionMax:6us [11m12s] 24817 ab:aa=b,abbbba=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24817 ab:aa=b,abbbba=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24818 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:82,nodes:20,pairs:0,completionMax:6us [11m12s] 24818 ab:aa=b,abbbba=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24818 ab:aa=b,abbbba=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24819 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:104,nodes:20,pairs:0,completionMax:6us [11m12s] 24819 ab:aa=b,abbbba=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24819 ab:aa=b,abbbba=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24820 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:74,nodes:22,pairs:0,completionMax:8us [11m12s] 24820 ab:aa=b,abbbbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24820 ab:aa=b,abbbbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24821 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:98,nodes:22,pairs:0,completionMax:8us [11m12s] 24821 ab:aa=b,abbbbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24821 ab:aa=b,abbbbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24822 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:97,nodes:22,pairs:0,completionMax:7us [11m12s] 24822 ab:aa=b,abbbbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24822 ab:aa=b,abbbbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24823 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:122,nodes:22,pairs:0,completionMax:8us [11m12s] 24823 ab:aa=b,abbbbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aa [11m12s] from: 24823 ab:aa=b,abbbbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24824 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:40,nodes:16,pairs:0,completionMax:4us [11m12s] 24824 ab:aa=b,baaaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaa=aa,b=aa [11m12s] from: 24824 ab:aa=b,baaaab=aa finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 919 ab:aa=b,bbbb=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a2,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a=a,b=aa [11m12s] # 24825 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:58,nodes:16,pairs:0,completionMax:6us [11m12s] 24825 ab:aa=b,baaaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 24825 ab:aa=b,baaaab=ab finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 24826 solved: rounds:0,rules:2,peak:2,longest:8,steps:2,word:2,work:76,nodes:16,pairs:0,completionMax:7us [11m12s] 24826 ab:aa=b,baaaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 24826 ab:aa=b,baaaab=bb finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 24827 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:51,nodes:18,pairs:0,completionMax:7us [11m12s] 24827 ab:aa=b,baaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24827 ab:aa=b,baaabb=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24828 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:71,nodes:18,pairs:0,completionMax:6us [11m12s] 24828 ab:aa=b,baaabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24828 ab:aa=b,baaabb=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24829 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:7us [11m12s] 24829 ab:aa=b,baaabb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24829 ab:aa=b,baaabb=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24830 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:91,nodes:18,pairs:0,completionMax:6us [11m12s] 24830 ab:aa=b,baaabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24830 ab:aa=b,baaabb=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24831 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:50,nodes:18,pairs:0,completionMax:5us [11m12s] 24831 ab:aa=b,baabab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaa=aa,b=aa [11m12s] from: 24831 ab:aa=b,baabab=aa finite:9;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a2,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 1608 ab:aaa=bb,bbb=a finite:9;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b2,a=b3;saturation:a:a7=1;noncancellative:bbbbbbb,1,bbbb,bbbb;smith:7 a=b,b=bb [11m12s] # 24832 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:70,nodes:18,pairs:0,completionMax:5us [11m12s] 24832 ab:aa=b,baabab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24832 ab:aa=b,baabab=ab finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24833 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:69,nodes:18,pairs:0,completionMax:7us [11m12s] 24833 ab:aa=b,baabab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 24833 ab:aa=b,baabab=ba finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 24834 solved: rounds:0,rules:2,peak:2,longest:9,steps:3,word:3,work:90,nodes:18,pairs:0,completionMax:9us [11m12s] 24834 ab:aa=b,baabab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 24834 ab:aa=b,baabab=bb finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 24835 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:62,nodes:20,pairs:0,completionMax:7us [11m12s] 24835 ab:aa=b,baabbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24835 ab:aa=b,baabbb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24836 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:84,nodes:20,pairs:0,completionMax:10us [11m12s] 24836 ab:aa=b,baabbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24836 ab:aa=b,baabbb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24837 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:83,nodes:20,pairs:0,completionMax:8us [11m12s] 24837 ab:aa=b,baabbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24837 ab:aa=b,baabbb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24838 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:106,nodes:20,pairs:0,completionMax:8us [11m12s] 24838 ab:aa=b,baabbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24838 ab:aa=b,baabbb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24839 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:61,nodes:20,pairs:0,completionMax:7us [11m12s] 24839 ab:aa=b,bababb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24839 ab:aa=b,bababb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24840 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:83,nodes:20,pairs:0,completionMax:8us [11m12s] 24840 ab:aa=b,bababb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24840 ab:aa=b,bababb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24841 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:82,nodes:20,pairs:0,completionMax:7us [11m12s] 24841 ab:aa=b,bababb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24841 ab:aa=b,bababb=ba finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24842 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:105,nodes:20,pairs:0,completionMax:8us [11m12s] 24842 ab:aa=b,bababb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24842 ab:aa=b,bababb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24843 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:60,nodes:20,pairs:0,completionMax:7us [11m12s] 24843 ab:aa=b,babbab=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24843 ab:aa=b,babbab=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24844 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:82,nodes:20,pairs:0,completionMax:8us [11m12s] 24844 ab:aa=b,babbab=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24844 ab:aa=b,babbab=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24845 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:104,nodes:20,pairs:0,completionMax:8us [11m12s] 24845 ab:aa=b,babbab=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24845 ab:aa=b,babbab=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24846 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:73,nodes:22,pairs:0,completionMax:8us [11m12s] 24846 ab:aa=b,babbbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24846 ab:aa=b,babbbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24847 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:97,nodes:22,pairs:0,completionMax:8us [11m12s] 24847 ab:aa=b,babbbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24847 ab:aa=b,babbbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24848 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:96,nodes:22,pairs:0,completionMax:9us [11m12s] 24848 ab:aa=b,babbbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24848 ab:aa=b,babbbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24849 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:121,nodes:22,pairs:0,completionMax:9us [11m12s] 24849 ab:aa=b,babbbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aa [11m12s] from: 24849 ab:aa=b,babbbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24850 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:60,nodes:20,pairs:0,completionMax:7us [11m12s] 24850 ab:aa=b,bbaabb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaa=aa,b=aa [11m12s] from: 24850 ab:aa=b,bbaabb=aa finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 2935 ab:aa=b,bbbbb=b finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a2,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a=a,b=aa [11m12s] # 24851 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:82,nodes:20,pairs:0,completionMax:6us [11m12s] 24851 ab:aa=b,bbaabb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 24851 ab:aa=b,bbaabb=ab finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24852 solved: rounds:0,rules:2,peak:2,longest:10,steps:4,word:4,work:104,nodes:20,pairs:0,completionMax:6us [11m12s] 24852 ab:aa=b,bbaabb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 24852 ab:aa=b,bbaabb=bb finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 24853 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:72,nodes:22,pairs:0,completionMax:7us [11m12s] 24853 ab:aa=b,bbabbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaa=aa,b=aa [11m12s] from: 24853 ab:aa=b,bbabbb=aa finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 8691 ab:aa=b,abbbbb=b finite:11;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a2,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24854 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:96,nodes:22,pairs:0,completionMax:9us [11m12s] 24854 ab:aa=b,bbabbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24854 ab:aa=b,bbabbb=ab finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24855 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:95,nodes:22,pairs:0,completionMax:14us [11m12s] 24855 ab:aa=b,bbabbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 a/b - - ab:aaaaaaaaaaa=aaa,b=aa [11m12s] from: 24855 ab:aa=b,bbabbb=ba finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaa,aaa;smith:8 to: 6293 ab:aaa=b,aabbb=b finite:11;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a3,b=a3;saturation:a:a8=1;noncancellative:aaaaaaaaa,a,aaaa,aaaaa;smith:8 a=a,b=aa [11m12s] # 24856 solved: rounds:0,rules:2,peak:2,longest:11,steps:5,word:5,work:120,nodes:22,pairs:0,completionMax:8us [11m12s] 24856 ab:aa=b,bbabbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaaa=aaaa,b=aa [11m12s] from: 24856 ab:aa=b,bbabbb=bb finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 12179 ab:aaaa=ab,abbb=b finite:11;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa;commutative:ab:a11=a4,b=a10;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 24857 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:84,nodes:24,pairs:0,completionMax:9us [11m12s] 24857 ab:aa=b,bbbbbb=aa finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 a/b - - ab:aaaaaaaaaaaa=aa,b=aa [11m12s] from: 24857 ab:aa=b,bbbbbb=aa finite:12;idempotents:1,aaaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a2,b=a2;saturation:a:a10=1;noncancellative:aaaaaaaaaa,1,aaa,aaa;smith:10 to: 5092 ab:aaa=bb,bbbb=a finite:12;idempotents:1,bbbbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b2,a=b4;saturation:a:a10=1;noncancellative:bbbbbbbbbb,1,bbbbb,bbbbb;smith:10 a=b,b=bb [11m12s] # 24858 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:110,nodes:24,pairs:0,completionMax:10us [11m12s] 24858 ab:aa=b,bbbbbb=ab finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 a/b - - ab:aaaaaaaaaaaa=aaa,b=aa [11m12s] from: 24858 ab:aa=b,bbbbbb=ab finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a2;saturation:a:a9=1;noncancellative:aaaaaaaaaa,a,aaa,aaaa;smith:9 to: 2019 ab:aaa=b,bbbb=b finite:12;idempotents:1,aaaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a3,b=a3;saturation:a:a9=1;noncancellative:aaaaaaaaa,1,aaaa,aaaa;smith:9 a=a,b=aa [11m12s] # 24859 solved: rounds:0,rules:2,peak:2,longest:12,steps:6,word:6,work:136,nodes:24,pairs:0,completionMax:9us [11m12s] 24859 ab:aa=b,bbbbbb=bb finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 a/b - - ab:aaaaaaaaaaaa=aaaa,b=aa [11m12s] from: 24859 ab:aa=b,bbbbbb=bb finite:12;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa;commutative:ab:a12=a4,b=a2;saturation:a:a8=1;noncancellative:aaaaaaaa,1,aaaaaa,aaaaaa;smith:8 to: 1998 ab:aaa=a,bbbb=a finite:12;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=b4,a=b4;saturation:a:a8=1;noncancellative:bbbbbbbb,1,bbbbb,bbbbb;smith:8 a=b,b=bb [11m12s] # 24860 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:33,nodes:12,pairs:0,completionMax:4us [11m12s] 24860 ab:ab=a,aaaaaa=aa infinite ab - - ab:ab=a,aaaaaa=aa [11m12s] # 24861 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:2us [11m12s] 24861 ab:ab=a,aaaaaa=ab infinite ab - - ab:ab=a,aaaaaa=a [11m12s] from: 24861 ab:ab=a,aaaaaa=ab infinite to: 8712 ab:ab=a,aaaaaa=a infinite a=a,b=b [11m12s] # 24862 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:4,work:70,nodes:16,pairs:1,completionMax:9us [11m12s] 24862 ab:ab=a,aaaaaa=ba infinite a/b - - ab:aaaaaaa=aa,ba=aaaaaa,ab=a [11m12s] # 24863 solved: rounds:2,rules:4,peak:5,longest:7,steps:1,word:0,work:153,nodes:26,pairs:7,completionMax:19us [11m12s] 24863 ab:ab=a,aaaaaa=bb finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:ab=a,b3=b2,a6=b2;saturation:a:a6=1;noncancellative:b,1,a,a;smith:6 a/b - - ab:aaaaaaa=a,ba=a,ab=a,bb=aaaaaa [11m12s] # 24864 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:34,nodes:10,pairs:0,completionMax:3us [11m12s] 24864 ab:ab=a,aaaaab=aa infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 24864 ab:ab=a,aaaaab=aa infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 24865 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:25,nodes:10,pairs:0,completionMax:3us [11m12s] 24865 ab:ab=a,aaaaab=ab infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24865 ab:ab=a,aaaaab=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24866 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:67,nodes:14,pairs:1,completionMax:6us [11m12s] 24866 ab:ab=a,aaaaab=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 24866 ab:ab=a,aaaaab=ba infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 24867 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:132,nodes:22,pairs:6,completionMax:15us [11m12s] 24867 ab:ab=a,aaaaab=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [11m12s] from: 24867 ab:ab=a,aaaaab=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 to: 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a=a,b=b [11m12s] # 24868 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:33,nodes:10,pairs:0,completionMax:3us [11m12s] 24868 ab:ab=a,aaaaba=aa infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 24868 ab:ab=a,aaaaba=aa infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 24869 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:10,pairs:0,completionMax:4us [11m12s] 24869 ab:ab=a,aaaaba=ab infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24869 ab:ab=a,aaaaba=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24870 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:66,nodes:14,pairs:1,completionMax:9us [11m12s] 24870 ab:ab=a,aaaaba=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 24870 ab:ab=a,aaaaba=ba infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 24871 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:131,nodes:22,pairs:6,completionMax:21us [11m12s] 24871 ab:ab=a,aaaaba=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [11m12s] from: 24871 ab:ab=a,aaaaba=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 to: 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a=a,b=b [11m12s] # 24872 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:33,nodes:8,pairs:0,completionMax:3us [11m12s] 24872 ab:ab=a,aaaabb=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24872 ab:ab=a,aaaabb=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24873 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:26,nodes:8,pairs:0,completionMax:2us [11m12s] 24873 ab:ab=a,aaaabb=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24873 ab:ab=a,aaaabb=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24874 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:62,nodes:12,pairs:1,completionMax:5us [11m12s] 24874 ab:ab=a,aaaabb=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24874 ab:ab=a,aaaabb=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24875 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:111,nodes:18,pairs:5,completionMax:14us [11m12s] 24875 ab:ab=a,aaaabb=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24875 ab:ab=a,aaaabb=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24876 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:3us [11m12s] 24876 ab:ab=a,aaabaa=aa infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 24876 ab:ab=a,aaabaa=aa infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 24877 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:0,completionMax:3us [11m12s] 24877 ab:ab=a,aaabaa=ab infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24877 ab:ab=a,aaabaa=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24878 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:65,nodes:14,pairs:1,completionMax:8us [11m12s] 24878 ab:ab=a,aaabaa=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 24878 ab:ab=a,aaabaa=ba infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 24879 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:130,nodes:22,pairs:6,completionMax:20us [11m12s] 24879 ab:ab=a,aaabaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [11m12s] from: 24879 ab:ab=a,aaabaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 to: 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a=a,b=b [11m12s] # 24880 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:32,nodes:8,pairs:0,completionMax:3us [11m12s] 24880 ab:ab=a,aaabab=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24880 ab:ab=a,aaabab=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24881 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:2us [11m12s] 24881 ab:ab=a,aaabab=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24881 ab:ab=a,aaabab=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24882 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:61,nodes:12,pairs:1,completionMax:11us [11m12s] 24882 ab:ab=a,aaabab=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24882 ab:ab=a,aaabab=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24883 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:110,nodes:18,pairs:5,completionMax:16us [11m12s] 24883 ab:ab=a,aaabab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24883 ab:ab=a,aaabab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24884 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:2us [11m12s] 24884 ab:ab=a,aaabba=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24884 ab:ab=a,aaabba=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24885 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:3us [11m12s] 24885 ab:ab=a,aaabba=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24885 ab:ab=a,aaabba=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24886 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:60,nodes:12,pairs:1,completionMax:8us [11m12s] 24886 ab:ab=a,aaabba=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24886 ab:ab=a,aaabba=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24887 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:109,nodes:18,pairs:5,completionMax:16us [11m12s] 24887 ab:ab=a,aaabba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24887 ab:ab=a,aaabba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24888 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:36,nodes:6,pairs:0,completionMax:3us [11m12s] 24888 ab:ab=a,aaabbb=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24888 ab:ab=a,aaabbb=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24889 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:25,nodes:6,pairs:0,completionMax:3us [11m12s] 24889 ab:ab=a,aaabbb=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24889 ab:ab=a,aaabbb=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24890 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:55,nodes:10,pairs:1,completionMax:7us [11m12s] 24890 ab:ab=a,aaabbb=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24890 ab:ab=a,aaabbb=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24891 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:90,nodes:14,pairs:4,completionMax:11us [11m12s] 24891 ab:ab=a,aaabbb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24891 ab:ab=a,aaabbb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24892 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:31,nodes:10,pairs:0,completionMax:3us [11m12s] 24892 ab:ab=a,aabaaa=aa infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 24892 ab:ab=a,aabaaa=aa infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 24893 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:10,pairs:0,completionMax:5us [11m12s] 24893 ab:ab=a,aabaaa=ab infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24893 ab:ab=a,aabaaa=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24894 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:64,nodes:14,pairs:1,completionMax:9us [11m12s] 24894 ab:ab=a,aabaaa=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 24894 ab:ab=a,aabaaa=ba infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 24895 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:129,nodes:22,pairs:6,completionMax:25us [11m12s] 24895 ab:ab=a,aabaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [11m12s] from: 24895 ab:ab=a,aabaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 to: 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a=a,b=b [11m12s] # 24896 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:31,nodes:8,pairs:0,completionMax:3us [11m12s] 24896 ab:ab=a,aabaab=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24896 ab:ab=a,aabaab=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24897 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:3us [11m12s] 24897 ab:ab=a,aabaab=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24897 ab:ab=a,aabaab=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24898 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:60,nodes:12,pairs:1,completionMax:9us [11m12s] 24898 ab:ab=a,aabaab=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24898 ab:ab=a,aabaab=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24899 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:109,nodes:18,pairs:5,completionMax:20us [11m12s] 24899 ab:ab=a,aabaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24899 ab:ab=a,aabaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24900 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 24900 ab:ab=a,aababa=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24900 ab:ab=a,aababa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24901 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:3us [11m12s] 24901 ab:ab=a,aababa=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24901 ab:ab=a,aababa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24902 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:59,nodes:12,pairs:1,completionMax:9us [11m12s] 24902 ab:ab=a,aababa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24902 ab:ab=a,aababa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24903 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:108,nodes:18,pairs:5,completionMax:19us [11m12s] 24903 ab:ab=a,aababa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24903 ab:ab=a,aababa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24904 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:35,nodes:6,pairs:0,completionMax:3us [11m12s] 24904 ab:ab=a,aababb=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24904 ab:ab=a,aababb=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24905 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:24,nodes:6,pairs:0,completionMax:3us [11m12s] 24905 ab:ab=a,aababb=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24905 ab:ab=a,aababb=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24906 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:54,nodes:10,pairs:1,completionMax:6us [11m12s] 24906 ab:ab=a,aababb=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24906 ab:ab=a,aababb=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24907 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:89,nodes:14,pairs:4,completionMax:15us [11m12s] 24907 ab:ab=a,aababb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24907 ab:ab=a,aababb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24908 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:8,pairs:0,completionMax:3us [11m12s] 24908 ab:ab=a,aabbaa=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24908 ab:ab=a,aabbaa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24909 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 24909 ab:ab=a,aabbaa=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24909 ab:ab=a,aabbaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24910 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:58,nodes:12,pairs:1,completionMax:8us [11m12s] 24910 ab:ab=a,aabbaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24910 ab:ab=a,aabbaa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24911 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:107,nodes:18,pairs:5,completionMax:18us [11m12s] 24911 ab:ab=a,aabbaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24911 ab:ab=a,aabbaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24912 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:34,nodes:6,pairs:0,completionMax:3us [11m12s] 24912 ab:ab=a,aabbab=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24912 ab:ab=a,aabbab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24913 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:6,pairs:0,completionMax:3us [11m12s] 24913 ab:ab=a,aabbab=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24913 ab:ab=a,aabbab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24914 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:53,nodes:10,pairs:1,completionMax:6us [11m12s] 24914 ab:ab=a,aabbab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24914 ab:ab=a,aabbab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24915 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:88,nodes:14,pairs:4,completionMax:17us [11m12s] 24915 ab:ab=a,aabbab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24915 ab:ab=a,aabbab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24916 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:33,nodes:6,pairs:0,completionMax:3us [11m12s] 24916 ab:ab=a,aabbba=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24916 ab:ab=a,aabbba=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24917 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:6,pairs:0,completionMax:2us [11m12s] 24917 ab:ab=a,aabbba=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24917 ab:ab=a,aabbba=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24918 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:52,nodes:10,pairs:1,completionMax:8us [11m12s] 24918 ab:ab=a,aabbba=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24918 ab:ab=a,aabbba=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24919 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:87,nodes:14,pairs:4,completionMax:13us [11m12s] 24919 ab:ab=a,aabbba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24919 ab:ab=a,aabbba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24920 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:0us [11m12s] 24920 ab:ab=a,aabbbb=aa infinite ab - - ab:ab=a [11m12s] from: 24920 ab:ab=a,aabbbb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24921 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:22,nodes:4,pairs:0,completionMax:3us [11m12s] 24921 ab:ab=a,aabbbb=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24921 ab:ab=a,aabbbb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24922 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:53,nodes:8,pairs:1,completionMax:6us [11m12s] 24922 ab:ab=a,aabbbb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 24922 ab:ab=a,aabbbb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 24923 solved: rounds:2,rules:4,peak:5,longest:3,steps:4,word:0,work:69,nodes:10,pairs:3,completionMax:15us [11m12s] 24923 ab:ab=a,aabbbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [11m12s] from: 24923 ab:ab=a,aabbbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24924 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:5us [11m12s] 24924 ab:ab=a,abaaaa=aa infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 24924 ab:ab=a,abaaaa=aa infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 24925 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:21,nodes:10,pairs:0,completionMax:3us [11m12s] 24925 ab:ab=a,abaaaa=ab infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 24925 ab:ab=a,abaaaa=ab infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 24926 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:63,nodes:14,pairs:1,completionMax:9us [11m12s] 24926 ab:ab=a,abaaaa=ba infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 24926 ab:ab=a,abaaaa=ba infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 24927 solved: rounds:2,rules:4,peak:5,longest:6,steps:1,word:0,work:128,nodes:22,pairs:6,completionMax:26us [11m12s] 24927 ab:ab=a,abaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bb=aaaaa [11m12s] from: 24927 ab:ab=a,abaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 to: 8987 ab:ab=a,aaaaa=bb finite:7;idempotents:1,aaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa;commutative:ab:ab=a,b3=b2,a5=b2;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a=a,b=b [11m12s] # 24928 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 24928 ab:ab=a,abaaab=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24928 ab:ab=a,abaaab=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24929 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:3us [11m12s] 24929 ab:ab=a,abaaab=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24929 ab:ab=a,abaaab=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24930 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:59,nodes:12,pairs:1,completionMax:8us [11m12s] 24930 ab:ab=a,abaaab=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24930 ab:ab=a,abaaab=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24931 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:108,nodes:18,pairs:5,completionMax:19us [11m12s] 24931 ab:ab=a,abaaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24931 ab:ab=a,abaaab=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24932 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:8,pairs:0,completionMax:3us [11m12s] 24932 ab:ab=a,abaaba=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24932 ab:ab=a,abaaba=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24933 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:5us [11m12s] 24933 ab:ab=a,abaaba=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24933 ab:ab=a,abaaba=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24934 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:58,nodes:12,pairs:1,completionMax:9us [11m12s] 24934 ab:ab=a,abaaba=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24934 ab:ab=a,abaaba=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24935 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:107,nodes:18,pairs:5,completionMax:20us [11m12s] 24935 ab:ab=a,abaaba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24935 ab:ab=a,abaaba=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24936 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:34,nodes:6,pairs:0,completionMax:2us [11m12s] 24936 ab:ab=a,abaabb=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24936 ab:ab=a,abaabb=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24937 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:23,nodes:6,pairs:0,completionMax:2us [11m12s] 24937 ab:ab=a,abaabb=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24937 ab:ab=a,abaabb=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24938 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:53,nodes:10,pairs:1,completionMax:7us [11m12s] 24938 ab:ab=a,abaabb=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24938 ab:ab=a,abaabb=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24939 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:88,nodes:14,pairs:4,completionMax:19us [11m12s] 24939 ab:ab=a,abaabb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24939 ab:ab=a,abaabb=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24940 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:4us [11m12s] 24940 ab:ab=a,ababaa=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24940 ab:ab=a,ababaa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24941 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:3us [11m12s] 24941 ab:ab=a,ababaa=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24941 ab:ab=a,ababaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24942 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:57,nodes:12,pairs:1,completionMax:8us [11m12s] 24942 ab:ab=a,ababaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24942 ab:ab=a,ababaa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24943 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:106,nodes:18,pairs:5,completionMax:14us [11m12s] 24943 ab:ab=a,ababaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24943 ab:ab=a,ababaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24944 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:33,nodes:6,pairs:0,completionMax:2us [11m12s] 24944 ab:ab=a,ababab=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24944 ab:ab=a,ababab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24945 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:6,pairs:0,completionMax:2us [11m12s] 24945 ab:ab=a,ababab=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24945 ab:ab=a,ababab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24946 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:52,nodes:10,pairs:1,completionMax:6us [11m12s] 24946 ab:ab=a,ababab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24946 ab:ab=a,ababab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24947 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:87,nodes:14,pairs:4,completionMax:13us [11m12s] 24947 ab:ab=a,ababab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24947 ab:ab=a,ababab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24948 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:32,nodes:6,pairs:0,completionMax:1us [11m12s] 24948 ab:ab=a,ababba=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24948 ab:ab=a,ababba=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24949 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:0,completionMax:1us [11m12s] 24949 ab:ab=a,ababba=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24949 ab:ab=a,ababba=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24950 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:51,nodes:10,pairs:1,completionMax:7us [11m12s] 24950 ab:ab=a,ababba=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24950 ab:ab=a,ababba=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24951 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:86,nodes:14,pairs:4,completionMax:16us [11m12s] 24951 ab:ab=a,ababba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24951 ab:ab=a,ababba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24952 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:11,nodes:4,pairs:0,completionMax:1us [11m12s] 24952 ab:ab=a,ababbb=aa infinite ab - - ab:ab=a [11m12s] from: 24952 ab:ab=a,ababbb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24953 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:21,nodes:4,pairs:0,completionMax:1us [11m12s] 24953 ab:ab=a,ababbb=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24953 ab:ab=a,ababbb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24954 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:52,nodes:8,pairs:1,completionMax:6us [11m12s] 24954 ab:ab=a,ababbb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 24954 ab:ab=a,ababbb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 24955 solved: rounds:2,rules:4,peak:5,longest:3,steps:4,word:0,work:68,nodes:10,pairs:3,completionMax:10us [11m12s] 24955 ab:ab=a,ababbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [11m12s] from: 24955 ab:ab=a,ababbb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24956 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:8,pairs:0,completionMax:3us [11m12s] 24956 ab:ab=a,abbaaa=aa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 24956 ab:ab=a,abbaaa=aa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 24957 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:2us [11m12s] 24957 ab:ab=a,abbaaa=ab infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 24957 ab:ab=a,abbaaa=ab infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 24958 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:56,nodes:12,pairs:1,completionMax:5us [11m12s] 24958 ab:ab=a,abbaaa=ba infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 24958 ab:ab=a,abbaaa=ba infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 24959 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:105,nodes:18,pairs:5,completionMax:14us [11m12s] 24959 ab:ab=a,abbaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bb=aaaa [11m12s] from: 24959 ab:ab=a,abbaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 3075 ab:ab=a,aaaa=bb finite:6;idempotents:1,aaaa;center:1,a,b,aa,aaa,aaaa;commutative:ab:ab=a,b3=b2,a4=b2;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24960 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:32,nodes:6,pairs:0,completionMax:3us [11m12s] 24960 ab:ab=a,abbaab=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24960 ab:ab=a,abbaab=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24961 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:0,completionMax:3us [11m12s] 24961 ab:ab=a,abbaab=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24961 ab:ab=a,abbaab=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24962 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:51,nodes:10,pairs:1,completionMax:7us [11m12s] 24962 ab:ab=a,abbaab=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24962 ab:ab=a,abbaab=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24963 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:86,nodes:14,pairs:4,completionMax:13us [11m12s] 24963 ab:ab=a,abbaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24963 ab:ab=a,abbaab=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24964 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:6,pairs:0,completionMax:2us [11m12s] 24964 ab:ab=a,abbaba=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24964 ab:ab=a,abbaba=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24965 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:20,nodes:6,pairs:0,completionMax:2us [11m12s] 24965 ab:ab=a,abbaba=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24965 ab:ab=a,abbaba=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24966 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:50,nodes:10,pairs:1,completionMax:4us [11m12s] 24966 ab:ab=a,abbaba=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24966 ab:ab=a,abbaba=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24967 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:85,nodes:14,pairs:4,completionMax:11us [11m12s] 24967 ab:ab=a,abbaba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24967 ab:ab=a,abbaba=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24968 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:10,nodes:4,pairs:0,completionMax:1us [11m12s] 24968 ab:ab=a,abbabb=aa infinite ab - - ab:ab=a [11m12s] from: 24968 ab:ab=a,abbabb=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24969 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:20,nodes:4,pairs:0,completionMax:1us [11m12s] 24969 ab:ab=a,abbabb=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24969 ab:ab=a,abbabb=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24970 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:51,nodes:8,pairs:1,completionMax:6us [11m12s] 24970 ab:ab=a,abbabb=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 24970 ab:ab=a,abbabb=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 24971 solved: rounds:2,rules:4,peak:5,longest:3,steps:4,word:0,work:67,nodes:10,pairs:3,completionMax:12us [11m12s] 24971 ab:ab=a,abbabb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [11m12s] from: 24971 ab:ab=a,abbabb=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24972 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:30,nodes:6,pairs:0,completionMax:3us [11m12s] 24972 ab:ab=a,abbbaa=aa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 24972 ab:ab=a,abbbaa=aa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 24973 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m12s] 24973 ab:ab=a,abbbaa=ab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 24973 ab:ab=a,abbbaa=ab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 24974 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:49,nodes:10,pairs:1,completionMax:8us [11m12s] 24974 ab:ab=a,abbbaa=ba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 24974 ab:ab=a,abbbaa=ba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 24975 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:84,nodes:14,pairs:4,completionMax:17us [11m12s] 24975 ab:ab=a,abbbaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a/b - - ab:aaaa=a,ba=a,ab=a,bb=aaa [11m12s] from: 24975 ab:ab=a,abbbaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 995 ab:ab=a,aaa=bb finite:5;idempotents:1,aaa;center:1,a,b,aa,aaa;commutative:ab:ab=a,a3=b2,b3=b2;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24976 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 24976 ab:ab=a,abbbab=aa infinite ab - - ab:ab=a [11m12s] from: 24976 ab:ab=a,abbbab=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24977 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:19,nodes:4,pairs:0,completionMax:2us [11m12s] 24977 ab:ab=a,abbbab=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24977 ab:ab=a,abbbab=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24978 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:50,nodes:8,pairs:1,completionMax:8us [11m12s] 24978 ab:ab=a,abbbab=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 24978 ab:ab=a,abbbab=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 24979 solved: rounds:2,rules:4,peak:5,longest:3,steps:4,word:0,work:66,nodes:10,pairs:3,completionMax:13us [11m12s] 24979 ab:ab=a,abbbab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [11m12s] from: 24979 ab:ab=a,abbbab=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24980 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:0us [11m12s] 24980 ab:ab=a,abbbba=aa infinite ab - - ab:ab=a [11m12s] from: 24980 ab:ab=a,abbbba=aa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24981 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 24981 ab:ab=a,abbbba=ab infinite ab - - ab:aa=a,ab=a [11m12s] from: 24981 ab:ab=a,abbbba=ab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24982 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:49,nodes:8,pairs:1,completionMax:5us [11m12s] 24982 ab:ab=a,abbbba=ba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 24982 ab:ab=a,abbbba=ba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 24983 solved: rounds:2,rules:4,peak:5,longest:3,steps:4,word:0,work:65,nodes:10,pairs:3,completionMax:15us [11m12s] 24983 ab:ab=a,abbbba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,bb=aa,aaa=a [11m12s] from: 24983 ab:ab=a,abbbba=bb finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 280 ab:ab=a,bb=aa finite:4;idempotents:1,aa;center:1,a,b,aa;commutative:ab:ab=a,b2=a2,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 24984 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 24984 ab:ab=a,abbbbb=aa infinite ab - - ab:aa=a,ab=a [11m12s] from: 24984 ab:ab=a,abbbbb=aa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 24985 solved: rounds:0,rules:1,peak:1,longest:2,steps:5,word:0,work:12,nodes:4,pairs:0,completionMax:0us [11m12s] 24985 ab:ab=a,abbbbb=ab infinite ab - - ab:ab=a [11m12s] from: 24985 ab:ab=a,abbbbb=ab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 24986 solved: rounds:0,rules:2,peak:2,longest:2,steps:5,word:0,work:14,nodes:6,pairs:0,completionMax:2us [11m12s] 24986 ab:ab=a,abbbbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 24986 ab:ab=a,abbbbb=ba infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 24987 solved: rounds:1,rules:2,peak:2,longest:3,steps:5,word:1,work:29,nodes:6,pairs:1,completionMax:6us [11m12s] 24987 ab:ab=a,abbbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: b/a - - ab:bbb=bb,a=bb [11m12s] from: 24987 ab:ab=a,abbbbb=bb finite:3;idempotents:1,bb;center:1,b,bb;commutative:ab:b3=b2,a=b2;saturation::;noncancellative:b,1,bb,bb;smith: to: 60 ab:aa=b,ab=b finite:3;idempotents:1,aa;center:1,a,aa;commutative:ab:a3=a2,b=a2;saturation::;noncancellative:aa,1,aa,aa;smith: a=aa,b=a [11m12s] # 24988 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:311,nodes:22,pairs:6,completionMax:49us [11m12s] 24988 ab:ab=a,baaaaa=aa infinite ab - - ab:ab=a,baa=aa,aaaaa=aa [11m12s] # 24989 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:199,nodes:22,pairs:7,completionMax:32us [11m12s] 24989 ab:ab=a,baaaaa=ab infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,aaaaa=a [11m12s] from: 24989 ab:ab=a,baaaaa=ab infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 8776 ab:ab=a,baaaaa=a infinite;commutative:ab:ab=a,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 24990 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:0,work:68,nodes:22,pairs:1,completionMax:11us [11m12s] 24990 ab:ab=a,baaaaa=ba infinite ab - - ab:ab=a,aaaaaa=aa,baaaaa=ba [11m12s] # 24991 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:4,work:40,nodes:14,pairs:2,completionMax:8us [11m12s] 24991 ab:ab=a,baaaaa=bb finite:12;idempotents:1,aaaaa,baaaaa a/b - - ab:aaaaaa=a,ab=a,bb=baaaaa [11m12s] # 24992 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:314,nodes:18,pairs:5,completionMax:43us [11m12s] 24992 ab:ab=a,baaaab=aa infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 24992 ab:ab=a,baaaab=aa infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 24993 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:171,nodes:18,pairs:6,completionMax:33us [11m12s] 24993 ab:ab=a,baaaab=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24993 ab:ab=a,baaaab=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24994 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:64,nodes:18,pairs:1,completionMax:9us [11m12s] 24994 ab:ab=a,baaaab=ba infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [11m12s] from: 24994 ab:ab=a,baaaab=ba infinite to: 9050 ab:ab=a,baaaa=ba infinite a=a,b=b [11m12s] # 24995 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:3,work:41,nodes:12,pairs:2,completionMax:8us [11m12s] 24995 ab:ab=a,baaaab=bb finite:10;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bb=baaaa [11m12s] from: 24995 ab:ab=a,baaaab=bb finite:10;idempotents:1,aaaa,baaaa to: 9051 ab:ab=a,baaaa=bb finite:10;idempotents:1,aaaa,baaaa a=a,b=b [11m12s] # 24996 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:313,nodes:18,pairs:5,completionMax:29us [11m12s] 24996 ab:ab=a,baaaba=aa infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 24996 ab:ab=a,baaaba=aa infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 24997 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:170,nodes:18,pairs:6,completionMax:29us [11m12s] 24997 ab:ab=a,baaaba=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 24997 ab:ab=a,baaaba=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 24998 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:63,nodes:18,pairs:1,completionMax:9us [11m12s] 24998 ab:ab=a,baaaba=ba infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [11m12s] from: 24998 ab:ab=a,baaaba=ba infinite to: 9050 ab:ab=a,baaaa=ba infinite a=a,b=b [11m12s] # 24999 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:3,work:40,nodes:12,pairs:2,completionMax:8us [11m12s] 24999 ab:ab=a,baaaba=bb finite:10;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bb=baaaa [11m12s] from: 24999 ab:ab=a,baaaba=bb finite:10;idempotents:1,aaaa,baaaa to: 9051 ab:ab=a,baaaa=bb finite:10;idempotents:1,aaaa,baaaa a=a,b=b [11m12s] # 25000 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:232,nodes:14,pairs:3,completionMax:23us [11m12s] 25000 ab:ab=a,baaabb=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25000 ab:ab=a,baaabb=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25001 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:153,nodes:14,pairs:5,completionMax:24us [11m12s] 25001 ab:ab=a,baaabb=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25001 ab:ab=a,baaabb=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25002 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:14,pairs:1,completionMax:7us [11m12s] 25002 ab:ab=a,baaabb=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25002 ab:ab=a,baaabb=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25003 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:40,nodes:10,pairs:2,completionMax:5us [11m12s] 25003 ab:ab=a,baaabb=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25003 ab:ab=a,baaabb=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25004 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:312,nodes:18,pairs:5,completionMax:26us [11m12s] 25004 ab:ab=a,baabaa=aa infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 25004 ab:ab=a,baabaa=aa infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 25005 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:169,nodes:18,pairs:6,completionMax:21us [11m12s] 25005 ab:ab=a,baabaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 25005 ab:ab=a,baabaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25006 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:62,nodes:18,pairs:1,completionMax:7us [11m12s] 25006 ab:ab=a,baabaa=ba infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [11m12s] from: 25006 ab:ab=a,baabaa=ba infinite to: 9050 ab:ab=a,baaaa=ba infinite a=a,b=b [11m12s] # 25007 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:3,work:39,nodes:12,pairs:2,completionMax:6us [11m12s] 25007 ab:ab=a,baabaa=bb finite:10;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bb=baaaa [11m12s] from: 25007 ab:ab=a,baabaa=bb finite:10;idempotents:1,aaaa,baaaa to: 9051 ab:ab=a,baaaa=bb finite:10;idempotents:1,aaaa,baaaa a=a,b=b [11m12s] # 25008 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:231,nodes:14,pairs:3,completionMax:19us [11m12s] 25008 ab:ab=a,baabab=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25008 ab:ab=a,baabab=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25009 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:152,nodes:14,pairs:5,completionMax:23us [11m12s] 25009 ab:ab=a,baabab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25009 ab:ab=a,baabab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25010 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:57,nodes:14,pairs:1,completionMax:8us [11m12s] 25010 ab:ab=a,baabab=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25010 ab:ab=a,baabab=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25011 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:39,nodes:10,pairs:2,completionMax:6us [11m12s] 25011 ab:ab=a,baabab=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25011 ab:ab=a,baabab=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25012 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:230,nodes:14,pairs:3,completionMax:23us [11m12s] 25012 ab:ab=a,baabba=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25012 ab:ab=a,baabba=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25013 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:151,nodes:14,pairs:5,completionMax:27us [11m12s] 25013 ab:ab=a,baabba=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25013 ab:ab=a,baabba=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25014 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:14,pairs:1,completionMax:11us [11m12s] 25014 ab:ab=a,baabba=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25014 ab:ab=a,baabba=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25015 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:38,nodes:10,pairs:2,completionMax:5us [11m12s] 25015 ab:ab=a,baabba=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25015 ab:ab=a,baabba=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25016 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:18,nodes:8,pairs:0,completionMax:2us [11m12s] 25016 ab:ab=a,baabbb=aa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25016 ab:ab=a,baabbb=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25017 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:95,nodes:10,pairs:3,completionMax:17us [11m12s] 25017 ab:ab=a,baabbb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25017 ab:ab=a,baabbb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25018 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:62,nodes:10,pairs:1,completionMax:5us [11m12s] 25018 ab:ab=a,baabbb=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25018 ab:ab=a,baabbb=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25019 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:1,work:37,nodes:8,pairs:2,completionMax:5us [11m12s] 25019 ab:ab=a,baabbb=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [11m12s] from: 25019 ab:ab=a,baabbb=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [11m12s] # 25020 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:311,nodes:18,pairs:5,completionMax:31us [11m12s] 25020 ab:ab=a,babaaa=aa infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 25020 ab:ab=a,babaaa=aa infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 25021 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:168,nodes:18,pairs:6,completionMax:28us [11m12s] 25021 ab:ab=a,babaaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 25021 ab:ab=a,babaaa=ab infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25022 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:61,nodes:18,pairs:1,completionMax:9us [11m12s] 25022 ab:ab=a,babaaa=ba infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [11m12s] from: 25022 ab:ab=a,babaaa=ba infinite to: 9050 ab:ab=a,baaaa=ba infinite a=a,b=b [11m12s] # 25023 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:3,work:38,nodes:12,pairs:2,completionMax:6us [11m12s] 25023 ab:ab=a,babaaa=bb finite:10;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bb=baaaa [11m12s] from: 25023 ab:ab=a,babaaa=bb finite:10;idempotents:1,aaaa,baaaa to: 9051 ab:ab=a,baaaa=bb finite:10;idempotents:1,aaaa,baaaa a=a,b=b [11m12s] # 25024 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:230,nodes:14,pairs:3,completionMax:26us [11m12s] 25024 ab:ab=a,babaab=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25024 ab:ab=a,babaab=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25025 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:151,nodes:14,pairs:5,completionMax:20us [11m12s] 25025 ab:ab=a,babaab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25025 ab:ab=a,babaab=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25026 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:14,pairs:1,completionMax:5us [11m12s] 25026 ab:ab=a,babaab=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25026 ab:ab=a,babaab=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25027 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:38,nodes:10,pairs:2,completionMax:7us [11m12s] 25027 ab:ab=a,babaab=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25027 ab:ab=a,babaab=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25028 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:229,nodes:14,pairs:3,completionMax:16us [11m12s] 25028 ab:ab=a,bababa=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25028 ab:ab=a,bababa=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25029 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:150,nodes:14,pairs:5,completionMax:22us [11m12s] 25029 ab:ab=a,bababa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25029 ab:ab=a,bababa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25030 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:14,pairs:1,completionMax:8us [11m12s] 25030 ab:ab=a,bababa=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25030 ab:ab=a,bababa=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25031 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:37,nodes:10,pairs:2,completionMax:7us [11m12s] 25031 ab:ab=a,bababa=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25031 ab:ab=a,bababa=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25032 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:8,pairs:0,completionMax:2us [11m12s] 25032 ab:ab=a,bababb=aa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25032 ab:ab=a,bababb=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25033 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:94,nodes:10,pairs:3,completionMax:18us [11m12s] 25033 ab:ab=a,bababb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25033 ab:ab=a,bababb=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25034 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:61,nodes:10,pairs:1,completionMax:9us [11m12s] 25034 ab:ab=a,bababb=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25034 ab:ab=a,bababb=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25035 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:1,work:36,nodes:8,pairs:2,completionMax:6us [11m12s] 25035 ab:ab=a,bababb=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [11m12s] from: 25035 ab:ab=a,bababb=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [11m12s] # 25036 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:228,nodes:14,pairs:3,completionMax:18us [11m12s] 25036 ab:ab=a,babbaa=aa infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25036 ab:ab=a,babbaa=aa infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25037 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:5,completionMax:20us [11m12s] 25037 ab:ab=a,babbaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25037 ab:ab=a,babbaa=ab infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25038 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:14,pairs:1,completionMax:6us [11m12s] 25038 ab:ab=a,babbaa=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25038 ab:ab=a,babbaa=ba infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25039 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:2,work:36,nodes:10,pairs:2,completionMax:6us [11m12s] 25039 ab:ab=a,babbaa=bb finite:8;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bb=baaa [11m12s] from: 25039 ab:ab=a,babbaa=bb finite:8;idempotents:1,aaa,baaa to: 3107 ab:ab=a,baaa=bb finite:8;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25040 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:16,nodes:8,pairs:0,completionMax:2us [11m12s] 25040 ab:ab=a,babbab=aa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25040 ab:ab=a,babbab=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25041 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:93,nodes:10,pairs:3,completionMax:15us [11m12s] 25041 ab:ab=a,babbab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25041 ab:ab=a,babbab=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25042 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:60,nodes:10,pairs:1,completionMax:6us [11m12s] 25042 ab:ab=a,babbab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25042 ab:ab=a,babbab=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25043 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:1,work:35,nodes:8,pairs:2,completionMax:7us [11m12s] 25043 ab:ab=a,babbab=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [11m12s] from: 25043 ab:ab=a,babbab=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [11m12s] # 25044 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:8,pairs:0,completionMax:1us [11m12s] 25044 ab:ab=a,babbba=aa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25044 ab:ab=a,babbba=aa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25045 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:92,nodes:10,pairs:3,completionMax:13us [11m12s] 25045 ab:ab=a,babbba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25045 ab:ab=a,babbba=ab infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25046 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:59,nodes:10,pairs:1,completionMax:4us [11m12s] 25046 ab:ab=a,babbba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25046 ab:ab=a,babbba=ba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25047 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:1,work:34,nodes:8,pairs:2,completionMax:5us [11m12s] 25047 ab:ab=a,babbba=bb finite:6;idempotents:1,aa,baa a/b - - ab:aaa=a,ab=a,bb=baa [11m12s] from: 25047 ab:ab=a,babbba=bb finite:6;idempotents:1,aa,baa to: 1011 ab:ab=a,baa=bb finite:6;idempotents:1,aa,baa a=a,b=b [11m12s] # 25048 solved: rounds:1,rules:3,peak:3,longest:3,steps:4,word:0,work:53,nodes:8,pairs:1,completionMax:4us [11m12s] 25048 ab:ab=a,babbbb=aa infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25048 ab:ab=a,babbbb=aa infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25049 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:6,pairs:0,completionMax:1us [11m12s] 25049 ab:ab=a,babbbb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 25049 ab:ab=a,babbbb=ab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 25050 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:0us [11m12s] 25050 ab:ab=a,babbbb=ba infinite ab - - ab:ab=a [11m12s] from: 25050 ab:ab=a,babbbb=ba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25051 solved: rounds:1,rules:3,peak:3,longest:2,steps:4,word:0,work:33,nodes:6,pairs:2,completionMax:5us [11m12s] 25051 ab:ab=a,babbbb=bb finite:4;idempotents:1,a,ba ab - - ab:aa=a,ab=a,bb=ba [11m12s] from: 25051 ab:ab=a,babbbb=bb finite:4;idempotents:1,a,ba to: 158 ab:ab=aa,ba=b finite:4;idempotents:1,b,ab a=b,b=a [11m12s] # 25052 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:331,nodes:20,pairs:5,completionMax:33us [11m12s] 25052 ab:ab=a,bbaaaa=aa infinite ab - - ab:ab=a,aaaa=aa,bbaa=aa [11m12s] # 25053 solved: rounds:3,rules:3,peak:5,longest:6,steps:2,word:0,work:185,nodes:20,pairs:6,completionMax:27us [11m12s] 25053 ab:ab=a,bbaaaa=ab infinite ab - - ab:ab=a,bba=a,aaaa=a [11m12s] from: 25053 ab:ab=a,bbaaaa=ab infinite to: 8808 ab:ab=a,bbaaaa=a infinite a=a,b=b [11m12s] # 25054 solved: rounds:3,rules:4,peak:5,longest:6,steps:1,word:0,work:167,nodes:26,pairs:6,completionMax:29us [11m12s] 25054 ab:ab=a,bbaaaa=ba infinite ab - - ab:ab=a,bba=ba,aaaaa=aa,baaaa=ba [11m12s] # 25055 solved: rounds:1,rules:4,peak:4,longest:6,steps:2,word:0,work:91,nodes:20,pairs:2,completionMax:15us [11m12s] 25055 ab:ab=a,bbaaaa=bb finite:14;idempotents:1,bb,aaaa,baaaa ab - - ab:ab=a,bbb=bb,aaaaa=a,bbaaaa=bb [11m12s] # 25056 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:241,nodes:16,pairs:3,completionMax:31us [11m12s] 25056 ab:ab=a,bbaaab=aa infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [11m12s] from: 25056 ab:ab=a,bbaaab=aa infinite to: 9080 ab:ab=a,bbaaa=aa infinite a=a,b=b [11m12s] # 25057 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:167,nodes:16,pairs:5,completionMax:35us [11m12s] 25057 ab:ab=a,bbaaab=ab infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 25057 ab:ab=a,bbaaab=ab infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 25058 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:156,nodes:20,pairs:5,completionMax:37us [11m12s] 25058 ab:ab=a,bbaaab=ba infinite ab - - ab:ab=a,bba=ba,aaaa=aa,baaa=ba [11m12s] from: 25058 ab:ab=a,bbaaab=ba infinite to: 9082 ab:ab=a,bbaaa=ba infinite a=a,b=b [11m12s] # 25059 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:89,nodes:16,pairs:2,completionMax:22us [11m12s] 25059 ab:ab=a,bbaaab=bb finite:11;idempotents:1,bb,aaa,baaa ab - - ab:ab=a,bbb=bb,aaaa=a,bbaaa=bb [11m12s] from: 25059 ab:ab=a,bbaaab=bb finite:11;idempotents:1,bb,aaa,baaa to: 9083 ab:ab=a,bbaaa=bb finite:11;idempotents:1,bb,aaa,baaa a=a,b=b [11m12s] # 25060 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:240,nodes:16,pairs:3,completionMax:21us [11m12s] 25060 ab:ab=a,bbaaba=aa infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [11m12s] from: 25060 ab:ab=a,bbaaba=aa infinite to: 9080 ab:ab=a,bbaaa=aa infinite a=a,b=b [11m12s] # 25061 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:166,nodes:16,pairs:5,completionMax:27us [11m12s] 25061 ab:ab=a,bbaaba=ab infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 25061 ab:ab=a,bbaaba=ab infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 25062 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:155,nodes:20,pairs:5,completionMax:23us [11m12s] 25062 ab:ab=a,bbaaba=ba infinite ab - - ab:ab=a,bba=ba,aaaa=aa,baaa=ba [11m12s] from: 25062 ab:ab=a,bbaaba=ba infinite to: 9082 ab:ab=a,bbaaa=ba infinite a=a,b=b [11m12s] # 25063 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:88,nodes:16,pairs:2,completionMax:11us [11m12s] 25063 ab:ab=a,bbaaba=bb finite:11;idempotents:1,bb,aaa,baaa ab - - ab:ab=a,bbb=bb,aaaa=a,bbaaa=bb [11m12s] from: 25063 ab:ab=a,bbaaba=bb finite:11;idempotents:1,bb,aaa,baaa to: 9083 ab:ab=a,bbaaa=bb finite:11;idempotents:1,bb,aaa,baaa a=a,b=b [11m12s] # 25064 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:2us [11m12s] 25064 ab:ab=a,bbaabb=aa infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25064 ab:ab=a,bbaabb=aa infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25065 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:103,nodes:12,pairs:3,completionMax:14us [11m12s] 25065 ab:ab=a,bbaabb=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25065 ab:ab=a,bbaabb=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25066 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:114,nodes:14,pairs:3,completionMax:14us [11m12s] 25066 ab:ab=a,bbaabb=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25066 ab:ab=a,bbaabb=ba infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25067 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:85,nodes:12,pairs:2,completionMax:12us [11m12s] 25067 ab:ab=a,bbaabb=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25067 ab:ab=a,bbaabb=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25068 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:239,nodes:16,pairs:3,completionMax:21us [11m12s] 25068 ab:ab=a,bbabaa=aa infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [11m12s] from: 25068 ab:ab=a,bbabaa=aa infinite to: 9080 ab:ab=a,bbaaa=aa infinite a=a,b=b [11m12s] # 25069 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:165,nodes:16,pairs:5,completionMax:26us [11m12s] 25069 ab:ab=a,bbabaa=ab infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 25069 ab:ab=a,bbabaa=ab infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 25070 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:154,nodes:20,pairs:5,completionMax:26us [11m12s] 25070 ab:ab=a,bbabaa=ba infinite ab - - ab:ab=a,bba=ba,aaaa=aa,baaa=ba [11m12s] from: 25070 ab:ab=a,bbabaa=ba infinite to: 9082 ab:ab=a,bbaaa=ba infinite a=a,b=b [11m12s] # 25071 solved: rounds:1,rules:4,peak:4,longest:5,steps:2,word:0,work:87,nodes:16,pairs:2,completionMax:12us [11m12s] 25071 ab:ab=a,bbabaa=bb finite:11;idempotents:1,bb,aaa,baaa ab - - ab:ab=a,bbb=bb,aaaa=a,bbaaa=bb [11m12s] from: 25071 ab:ab=a,bbabaa=bb finite:11;idempotents:1,bb,aaa,baaa to: 9083 ab:ab=a,bbaaa=bb finite:11;idempotents:1,bb,aaa,baaa a=a,b=b [11m12s] # 25072 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:18,nodes:10,pairs:0,completionMax:3us [11m12s] 25072 ab:ab=a,bbabab=aa infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25072 ab:ab=a,bbabab=aa infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25073 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:102,nodes:12,pairs:3,completionMax:17us [11m12s] 25073 ab:ab=a,bbabab=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25073 ab:ab=a,bbabab=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25074 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:113,nodes:14,pairs:3,completionMax:19us [11m12s] 25074 ab:ab=a,bbabab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25074 ab:ab=a,bbabab=ba infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25075 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:84,nodes:12,pairs:2,completionMax:12us [11m12s] 25075 ab:ab=a,bbabab=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25075 ab:ab=a,bbabab=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25076 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 25076 ab:ab=a,bbabba=aa infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25076 ab:ab=a,bbabba=aa infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25077 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:101,nodes:12,pairs:3,completionMax:23us [11m12s] 25077 ab:ab=a,bbabba=ab infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25077 ab:ab=a,bbabba=ab infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25078 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:112,nodes:14,pairs:3,completionMax:17us [11m12s] 25078 ab:ab=a,bbabba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25078 ab:ab=a,bbabba=ba infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25079 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:83,nodes:12,pairs:2,completionMax:11us [11m12s] 25079 ab:ab=a,bbabba=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25079 ab:ab=a,bbabba=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25080 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:56,nodes:10,pairs:1,completionMax:6us [11m12s] 25080 ab:ab=a,bbabbb=aa infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25080 ab:ab=a,bbabbb=aa infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25081 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:8,pairs:0,completionMax:1us [11m12s] 25081 ab:ab=a,bbabbb=ab infinite ab - - ab:ab=a,bba=a [11m12s] from: 25081 ab:ab=a,bbabbb=ab infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [11m12s] # 25082 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 25082 ab:ab=a,bbabbb=ba infinite ab - - ab:ab=a,bba=ba [11m12s] from: 25082 ab:ab=a,bbabbb=ba infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [11m12s] # 25083 solved: rounds:1,rules:4,peak:4,longest:3,steps:3,word:0,work:79,nodes:8,pairs:2,completionMax:7us [11m12s] 25083 ab:ab=a,bbabbb=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m12s] from: 25083 ab:ab=a,bbabbb=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m12s] # 25084 solved: rounds:3,rules:3,peak:4,longest:6,steps:3,word:0,work:248,nodes:18,pairs:3,completionMax:39us [11m12s] 25084 ab:ab=a,bbbaaa=aa infinite ab - - ab:ab=a,aaa=aa,bbbaa=aa [11m12s] # 25085 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:179,nodes:18,pairs:5,completionMax:33us [11m12s] 25085 ab:ab=a,bbbaaa=ab infinite ab - - ab:ab=a,aaa=a,bbba=a [11m12s] from: 25085 ab:ab=a,bbbaaa=ab infinite to: 8824 ab:ab=a,bbbaaa=a infinite a=a,b=b [11m12s] # 25086 solved: rounds:3,rules:4,peak:5,longest:6,steps:2,word:0,work:166,nodes:22,pairs:5,completionMax:29us [11m12s] 25086 ab:ab=a,bbbaaa=ba infinite ab - - ab:ab=a,aaaa=aa,baaa=ba,bbba=ba [11m12s] # 25087 solved: rounds:2,rules:4,peak:4,longest:6,steps:2,word:0,work:141,nodes:18,pairs:5,completionMax:23us [11m12s] 25087 ab:ab=a,bbbaaa=bb finite:11;idempotents:1,bb,aaa,baaa ab - - ab:ab=a,bbb=bb,aaaa=a,bbaaa=bb [11m12s] from: 25087 ab:ab=a,bbbaaa=bb finite:11;idempotents:1,bb,aaa,baaa to: 9083 ab:ab=a,bbaaa=bb finite:11;idempotents:1,bb,aaa,baaa a=a,b=b [11m12s] # 25088 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:18,nodes:12,pairs:0,completionMax:3us [11m12s] 25088 ab:ab=a,bbbaab=aa infinite ab - - ab:ab=a,bbbaa=aa [11m12s] from: 25088 ab:ab=a,bbbaab=aa infinite to: 9096 ab:ab=a,bbbaa=aa infinite a=a,b=b [11m12s] # 25089 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:109,nodes:14,pairs:3,completionMax:19us [11m12s] 25089 ab:ab=a,bbbaab=ab infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 25089 ab:ab=a,bbbaab=ab infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 25090 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:120,nodes:16,pairs:3,completionMax:17us [11m12s] 25090 ab:ab=a,bbbaab=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bbba=ba [11m12s] from: 25090 ab:ab=a,bbbaab=ba infinite to: 9098 ab:ab=a,bbbaa=ba infinite a=a,b=b [11m12s] # 25091 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:132,nodes:14,pairs:5,completionMax:16us [11m12s] 25091 ab:ab=a,bbbaab=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25091 ab:ab=a,bbbaab=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25092 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:17,nodes:12,pairs:0,completionMax:2us [11m12s] 25092 ab:ab=a,bbbaba=aa infinite ab - - ab:ab=a,bbbaa=aa [11m12s] from: 25092 ab:ab=a,bbbaba=aa infinite to: 9096 ab:ab=a,bbbaa=aa infinite a=a,b=b [11m12s] # 25093 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:108,nodes:14,pairs:3,completionMax:17us [11m12s] 25093 ab:ab=a,bbbaba=ab infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 25093 ab:ab=a,bbbaba=ab infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 25094 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:119,nodes:16,pairs:3,completionMax:18us [11m12s] 25094 ab:ab=a,bbbaba=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bbba=ba [11m12s] from: 25094 ab:ab=a,bbbaba=ba infinite to: 9098 ab:ab=a,bbbaa=ba infinite a=a,b=b [11m12s] # 25095 solved: rounds:2,rules:4,peak:4,longest:5,steps:2,word:0,work:131,nodes:14,pairs:5,completionMax:17us [11m12s] 25095 ab:ab=a,bbbaba=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25095 ab:ab=a,bbbaba=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25096 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:1,completionMax:10us [11m12s] 25096 ab:ab=a,bbbabb=aa infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25096 ab:ab=a,bbbabb=aa infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25097 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:10,pairs:0,completionMax:2us [11m12s] 25097 ab:ab=a,bbbabb=ab infinite ab - - ab:ab=a,bbba=a [11m12s] from: 25097 ab:ab=a,bbbabb=ab infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [11m12s] # 25098 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:10,pairs:0,completionMax:4us [11m12s] 25098 ab:ab=a,bbbabb=ba infinite ab - - ab:ab=a,bbba=ba [11m12s] from: 25098 ab:ab=a,bbbabb=ba infinite to: 3130 ab:ab=a,bbba=ba infinite a=a,b=b [11m12s] # 25099 solved: rounds:2,rules:4,peak:4,longest:4,steps:2,word:0,work:121,nodes:10,pairs:5,completionMax:16us [11m12s] 25099 ab:ab=a,bbbabb=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m12s] from: 25099 ab:ab=a,bbbabb=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m12s] # 25100 solved: rounds:0,rules:2,peak:2,longest:6,steps:3,word:0,work:15,nodes:14,pairs:0,completionMax:2us [11m12s] 25100 ab:ab=a,bbbbaa=aa infinite ab - - ab:ab=a,bbbbaa=aa [11m12s] # 25101 solved: rounds:3,rules:3,peak:4,longest:6,steps:4,word:0,work:113,nodes:16,pairs:3,completionMax:18us [11m12s] 25101 ab:ab=a,bbbbaa=ab infinite ab - - ab:aa=a,ab=a,bbbba=a [11m12s] from: 25101 ab:ab=a,bbbbaa=ab infinite to: 8832 ab:ab=a,bbbbaa=a infinite a=a,b=b [11m12s] # 25102 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:124,nodes:18,pairs:3,completionMax:18us [11m12s] 25102 ab:ab=a,bbbbaa=ba infinite ab - - ab:ab=a,aaa=aa,baa=ba,bbbba=ba [11m12s] # 25103 solved: rounds:2,rules:4,peak:4,longest:6,steps:3,word:0,work:151,nodes:16,pairs:6,completionMax:26us [11m12s] 25103 ab:ab=a,bbbbaa=bb finite:8;idempotents:1,aa,bb,baa ab - - ab:ab=a,aaa=a,bbb=bb,bbaa=bb [11m12s] from: 25103 ab:ab=a,bbbbaa=bb finite:8;idempotents:1,aa,bb,baa to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=a,b=b [11m12s] # 25104 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:58,nodes:14,pairs:1,completionMax:6us [11m12s] 25104 ab:ab=a,bbbbab=aa infinite ab - - ab:ab=a,aaa=aa,bbbba=aa [11m12s] from: 25104 ab:ab=a,bbbbab=aa infinite to: 9104 ab:ab=a,bbbba=aa infinite a=a,b=b [11m12s] # 25105 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:21,nodes:12,pairs:0,completionMax:2us [11m12s] 25105 ab:ab=a,bbbbab=ab infinite ab - - ab:ab=a,bbbba=a [11m12s] from: 25105 ab:ab=a,bbbbab=ab infinite to: 2996 ab:ab=a,bbbba=a infinite a=a,b=b [11m12s] # 25106 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:22,nodes:12,pairs:0,completionMax:2us [11m12s] 25106 ab:ab=a,bbbbab=ba infinite ab - - ab:ab=a,bbbba=ba [11m12s] from: 25106 ab:ab=a,bbbbab=ba infinite to: 9106 ab:ab=a,bbbba=ba infinite a=a,b=b [11m12s] # 25107 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:138,nodes:12,pairs:6,completionMax:15us [11m12s] 25107 ab:ab=a,bbbbab=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m12s] from: 25107 ab:ab=a,bbbbab=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m12s] # 25108 solved: rounds:1,rules:3,peak:3,longest:6,steps:4,word:0,work:56,nodes:16,pairs:1,completionMax:6us [11m12s] 25108 ab:ab=a,bbbbba=aa infinite ab - - ab:ab=a,aaa=aa,bbbbba=aa [11m12s] # 25109 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:18,nodes:14,pairs:0,completionMax:1us [11m12s] 25109 ab:ab=a,bbbbba=ab infinite ab - - ab:ab=a,bbbbba=a [11m12s] from: 25109 ab:ab=a,bbbbba=ab infinite to: 8836 ab:ab=a,bbbbba=a infinite a=a,b=b [11m12s] # 25110 solved: rounds:0,rules:2,peak:2,longest:6,steps:4,word:0,work:19,nodes:14,pairs:0,completionMax:3us [11m12s] 25110 ab:ab=a,bbbbba=ba infinite ab - - ab:ab=a,bbbbba=ba [11m12s] # 25111 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:0,work:159,nodes:14,pairs:7,completionMax:20us [11m12s] 25111 ab:ab=a,bbbbba=bb finite:5;idempotents:1,a,ba,bb ab - - ab:aa=a,ab=a,bba=bb,bbb=bb [11m12s] from: 25111 ab:ab=a,bbbbba=bb finite:5;idempotents:1,a,ba,bb to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=a,b=b [11m12s] # 25112 solved: rounds:2,rules:4,peak:5,longest:6,steps:5,word:0,work:209,nodes:18,pairs:7,completionMax:22us [11m12s] 25112 ab:ab=a,bbbbbb=aa finite:8;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb,bbbbb;commutative:ab:ab=a,a3=a,b6=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbbbb=aa [11m12s] # 25113 solved: rounds:1,rules:2,peak:2,longest:7,steps:6,word:5,work:297,nodes:14,pairs:1,completionMax:10us [11m12s] 25113 ab:ab=a,bbbbbb=ab finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b6;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: b/a - - ab:bbbbbbb=bbbbbb,a=bbbbbb [11m12s] from: 25113 ab:ab=a,bbbbbb=ab finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b6;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=bbbbbb,b=b [11m12s] # 25114 solved: rounds:1,rules:4,peak:4,longest:7,steps:6,word:4,work:468,nodes:16,pairs:2,completionMax:16us [11m12s] 25114 ab:ab=a,bbbbbb=ba finite:8;idempotents:1,a,bbbbbb b/a - - ab:bbbbbbb=bbbbbb,ab=a,ba=bbbbbb,aa=a [11m12s] # 25115 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:0,work:38,nodes:14,pairs:0,completionMax:5us [11m12s] 25115 ab:ab=a,bbbbbb=bb infinite ab - - ab:ab=a,bbbbbb=bb [11m12s] # 25116 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:16,nodes:4,pairs:0,completionMax:1us [11m12s] 25116 ab:aa=a,aaaaa=aaa infinite ab - - ab:aa=a [11m12s] from: 25116 ab:aa=a,aaaaa=aaa infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25117 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:0,completionMax:3us [11m12s] 25117 ab:aa=a,aaaaa=aab infinite ab - - ab:aa=a,ab=a [11m12s] from: 25117 ab:aa=a,aaaaa=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25118 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:28,nodes:6,pairs:0,completionMax:4us [11m12s] 25118 ab:aa=a,aaaaa=aba infinite ab - - ab:aa=a,aba=a [11m12s] from: 25118 ab:aa=a,aaaaa=aba infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 25119 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m12s] 25119 ab:aa=a,aaaaa=abb infinite ab - - ab:aa=a,abb=a [11m12s] from: 25119 ab:aa=a,aaaaa=abb infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [11m12s] # 25120 solved: rounds:2,rules:3,peak:3,longest:3,steps:4,word:0,work:56,nodes:8,pairs:3,completionMax:11us [11m12s] 25120 ab:aa=a,aaaaa=bab infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [11m12s] from: 25120 ab:aa=a,aaaaa=bab infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [11m12s] # 25121 solved: rounds:1,rules:2,peak:2,longest:6,steps:4,word:4,work:67,nodes:12,pairs:2,completionMax:11us [11m12s] 25121 ab:aa=a,aaaaa=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 b/a - - ab:bbbbbb=bbb,a=bbb [11m12s] from: 25121 ab:aa=a,aaaaa=bbb finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=bbb,b=b [11m12s] # 25122 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 25122 ab:aa=a,aaaab=aaa infinite ab - - ab:aa=a,ab=a [11m12s] from: 25122 ab:aa=a,aaaab=aaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25123 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:1us [11m12s] 25123 ab:aa=a,aaaab=aab infinite ab - - ab:aa=a [11m12s] from: 25123 ab:aa=a,aaaab=aab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25124 solved: rounds:1,rules:5,peak:5,longest:3,steps:3,word:0,work:61,nodes:9,pairs:5,completionMax:13us [11m12s] 25124 ab:aa=a,aaaab=aba infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 25124 ab:aa=a,aaaab=aba infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 25125 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m12s] 25125 ab:aa=a,aaaab=abb infinite ab - - ab:aa=a,abb=ab [11m12s] from: 25125 ab:aa=a,aaaab=abb infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [11m12s] # 25126 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:20,nodes:6,pairs:0,completionMax:1us [11m12s] 25126 ab:aa=a,aaaab=baa infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [11m12s] from: 25126 ab:aa=a,aaaab=baa infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [11m12s] # 25127 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 25127 ab:aa=a,aaaab=bab infinite ab - - ab:aa=a,bab=ab [11m12s] from: 25127 ab:aa=a,aaaab=bab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [11m12s] # 25128 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:96,nodes:12,pairs:1,completionMax:7us [11m12s] 25128 ab:aa=a,aaaab=bba infinite reversed:b/a - - ab:bbbba=bba,ab=bba,aa=a [11m12s] from: 25128 ab:aa=a,aaaab=bba infinite to: 964 ab:aa=a,abb=ba infinite anti:a=a,b=b [11m12s] # 25129 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:1,work:71,nodes:12,pairs:1,completionMax:9us [11m12s] 25129 ab:aa=a,aaaab=bbb finite:10;idempotents:1,a,bbbb,bbbba b/a - - ab:bbbbb=bbb,ab=bbb,aa=a [11m12s] from: 25129 ab:aa=a,aaaab=bbb finite:10;idempotents:1,a,bbbb,bbbba to: 970 ab:aa=a,bbb=ab finite:10;idempotents:1,a,bbbb,bbbba a=a,b=b [11m12s] # 25130 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:28,nodes:6,pairs:0,completionMax:4us [11m12s] 25130 ab:aa=a,aaaba=aaa infinite ab - - ab:aa=a,aba=a [11m12s] from: 25130 ab:aa=a,aaaba=aaa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 25131 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:61,nodes:9,pairs:5,completionMax:13us [11m12s] 25131 ab:aa=a,aaaba=aab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 25131 ab:aa=a,aaaba=aab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 25132 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:2us [11m12s] 25132 ab:aa=a,aaaba=aba infinite ab - - ab:aa=a [11m12s] from: 25132 ab:aa=a,aaaba=aba infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25133 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:3us [11m12s] 25133 ab:aa=a,aaaba=abb infinite ab - - ab:aa=a,abb=aba [11m12s] from: 25133 ab:aa=a,aaaba=abb infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [11m12s] # 25134 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:73,nodes:12,pairs:5,completionMax:13us [11m12s] 25134 ab:aa=a,aaaba=baa infinite acb ba=c frequency:2/1 abc:aa=a,ac=c,ca=c,ba=c,bc=cc [11m12s] from: 25134 ab:aa=a,aaaba=baa infinite to: 3009 ab:aa=a,aaba=ba infinite a=a,b=b,c=c [11m12s] # 25135 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:29,nodes:8,pairs:0,completionMax:2us [11m12s] 25135 ab:aa=a,aaaba=bab infinite ab - - ab:aa=a,bab=aba [11m12s] from: 25135 ab:aa=a,aaaba=bab infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [11m12s] # 25136 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:1us [11m12s] 25136 ab:aa=a,aaaba=bba infinite ab - - ab:aa=a,bba=aba [11m12s] from: 25136 ab:aa=a,aaaba=bba infinite to: 3141 ab:aa=a,abb=aba infinite anti:a=a,b=b [11m12s] # 25137 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:241,nodes:18,pairs:5,completionMax:24us [11m12s] 25137 ab:aa=a,aaaba=bbb infinite ba - - ab:aa=a,aba=bbb,bbba=bbb,abbb=bbb,bbbbbb=bbbb [11m12s] from: 25137 ab:aa=a,aaaba=bbb infinite to: 3151 ab:aa=a,bbb=aba infinite a=a,b=b [11m12s] # 25138 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m12s] 25138 ab:aa=a,aaabb=aaa infinite ab - - ab:aa=a,abb=a [11m12s] from: 25138 ab:aa=a,aaabb=aaa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [11m12s] # 25139 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:3us [11m12s] 25139 ab:aa=a,aaabb=aab infinite ab - - ab:aa=a,abb=ab [11m12s] from: 25139 ab:aa=a,aaabb=aab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [11m12s] # 25140 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:6,pairs:0,completionMax:2us [11m12s] 25140 ab:aa=a,aaabb=aba infinite ab - - ab:aa=a,abb=aba [11m12s] from: 25140 ab:aa=a,aaabb=aba infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [11m12s] # 25141 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 25141 ab:aa=a,aaabb=abb infinite ab - - ab:aa=a [11m12s] from: 25141 ab:aa=a,aaabb=abb infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25142 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:94,nodes:12,pairs:1,completionMax:7us [11m12s] 25142 ab:aa=a,aaabb=baa infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [11m12s] from: 25142 ab:aa=a,aaabb=baa infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [11m12s] # 25143 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:27,nodes:8,pairs:0,completionMax:2us [11m12s] 25143 ab:aa=a,aaabb=bab infinite ab - - ab:aa=a,bab=abb [11m12s] from: 25143 ab:aa=a,aaabb=bab infinite to: 3147 ab:aa=a,bab=abb infinite a=a,b=b [11m12s] # 25144 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:3us [11m12s] 25144 ab:aa=a,aaabb=bba infinite ab - - ab:aa=a,bba=abb [11m12s] from: 25144 ab:aa=a,aaabb=bba infinite to: 3148 ab:aa=a,bba=abb infinite a=a,b=b [11m12s] # 25145 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:104,nodes:12,pairs:1,completionMax:8us [11m12s] 25145 ab:aa=a,aaabb=bbb infinite ba - - ab:aa=a,abb=bbb,bbbb=bbb [11m12s] from: 25145 ab:aa=a,aaabb=bbb infinite to: 3152 ab:aa=a,bbb=abb infinite a=a,b=b [11m12s] # 25146 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:3us [11m12s] 25146 ab:aa=a,aabaa=aaa infinite ab - - ab:aa=a,aba=a [11m12s] from: 25146 ab:aa=a,aabaa=aaa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 25147 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:63,nodes:9,pairs:5,completionMax:10us [11m12s] 25147 ab:aa=a,aabaa=aab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 25147 ab:aa=a,aabaa=aab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 25148 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:1us [11m12s] 25148 ab:aa=a,aabaa=aba infinite ab - - ab:aa=a [11m12s] from: 25148 ab:aa=a,aabaa=aba infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25149 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m12s] 25149 ab:aa=a,aabaa=abb infinite ab - - ab:aa=a,abb=aba [11m12s] from: 25149 ab:aa=a,aabaa=abb infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [11m12s] # 25150 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:8,pairs:0,completionMax:4us [11m12s] 25150 ab:aa=a,aabaa=bab infinite ab - - ab:aa=a,bab=aba [11m12s] from: 25150 ab:aa=a,aabaa=bab infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [11m12s] # 25151 solved: rounds:2,rules:5,peak:5,longest:6,steps:2,word:0,work:243,nodes:18,pairs:5,completionMax:29us [11m12s] 25151 ab:aa=a,aabaa=bbb infinite ba - - ab:aa=a,aba=bbb,bbba=bbb,abbb=bbb,bbbbbb=bbbb [11m12s] from: 25151 ab:aa=a,aabaa=bbb infinite to: 3151 ab:aa=a,bbb=aba infinite a=a,b=b [11m12s] # 25152 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:67,nodes:8,pairs:5,completionMax:15us [11m12s] 25152 ab:aa=a,aabab=aaa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 25152 ab:aa=a,aabab=aaa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 25153 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 25153 ab:aa=a,aabab=aab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 25153 ab:aa=a,aabab=aab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 25154 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:4us [11m12s] 25154 ab:aa=a,aabab=aba infinite ab - - ab:aa=a,abab=aba [11m12s] from: 25154 ab:aa=a,aabab=aba infinite to: 9144 ab:aa=a,abab=aba infinite a=a,b=b [11m12s] # 25155 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:55,nodes:12,pairs:5,completionMax:13us [11m12s] 25155 ab:aa=a,aabab=abb infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,cb=cc [11m12s] from: 25155 ab:aa=a,aabab=abb infinite to: 9145 ab:aa=a,abab=abb infinite a=a,b=b,c=c [11m12s] # 25156 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:300,nodes:14,pairs:12,completionMax:34us [11m12s] 25156 ab:aa=a,aabab=baa infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 25156 ab:aa=a,aabab=baa infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 25157 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:56,nodes:12,pairs:4,completionMax:11us [11m12s] 25157 ab:aa=a,aabab=bab infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,bc=cc [11m12s] from: 25157 ab:aa=a,aabab=bab infinite to: 9147 ab:aa=a,abab=bab infinite a=a,b=b,c=c [11m12s] # 25158 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:160,nodes:10,pairs:1,completionMax:7us [11m12s] 25158 ab:aa=a,aabab=bba infinite reversed:a/b - - ab:aa=a,bba=abab,ababa=abab [11m12s] from: 25158 ab:aa=a,aabab=bba infinite to: 9148 ab:aa=a,abab=bba infinite a=a,b=b [11m12s] # 25159 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:420,nodes:20,pairs:4,completionMax:20us [11m12s] 25159 ab:aa=a,aabab=bbb infinite ab - - ab:aa=a,abab=bbb,abbb=bbb,bbbab=bbbb,bbbbb=bbbb [11m12s] from: 25159 ab:aa=a,aabab=bbb infinite to: 9149 ab:aa=a,abab=bbb infinite a=a,b=b [11m12s] # 25160 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:2us [11m12s] 25160 ab:aa=a,aabba=aaa infinite ab - - ab:aa=a,abba=a [11m12s] from: 25160 ab:aa=a,aabba=aaa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 25161 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:254,nodes:10,pairs:10,completionMax:40us [11m12s] 25161 ab:aa=a,aabba=aab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 25161 ab:aa=a,aabba=aab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 25162 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 25162 ab:aa=a,aabba=aba infinite ab - - ab:aa=a,abba=aba [11m12s] from: 25162 ab:aa=a,aabba=aba infinite to: 9152 ab:aa=a,abba=aba infinite a=a,b=b [11m12s] # 25163 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:68,nodes:12,pairs:5,completionMax:15us [11m12s] 25163 ab:aa=a,aabba=abb infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cba=cb,cbb=cbc [11m12s] from: 25163 ab:aa=a,aabba=abb infinite to: 9153 ab:aa=a,abba=abb infinite a=a,b=b,c=c [11m12s] # 25164 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:289,nodes:14,pairs:10,completionMax:25us [11m12s] 25164 ab:aa=a,aabba=baa infinite ab - - ab:aa=a,aba=ba,bba=ba [11m12s] from: 25164 ab:aa=a,aabba=baa infinite to: 3020 ab:aa=a,abba=ab infinite anti:a=a,b=b [11m12s] # 25165 solved: rounds:1,rules:7,peak:7,longest:4,steps:3,word:0,work:156,nodes:21,pairs:6,completionMax:16us [11m12s] 25165 ab:aa=a,aabba=bab infinite acb ba=c frequency:2/0 abc:aa=a,ca=c,cb=cc,ba=c,acc=cc,abc=cc,bcc=ccc [11m12s] from: 25165 ab:aa=a,aabba=bab infinite to: 9154 ab:aa=a,abba=bab infinite a=a,b=b,c=c [11m12s] # 25166 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:94,nodes:18,pairs:5,completionMax:10us [11m12s] 25166 ab:aa=a,aabba=bba infinite acb ba=c frequency:2/1 abc:aa=a,ca=c,ba=c,abc=bc,bbc=cbc [11m12s] from: 25166 ab:aa=a,aabba=bba infinite to: 9153 ab:aa=a,abba=abb infinite anti:a=a,b=b,c=c [11m12s] # 25167 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:0,work:401,nodes:18,pairs:5,completionMax:21us [11m12s] 25167 ab:aa=a,aabba=bbb infinite ab - - ab:aa=a,abba=bbb,abbb=bbb,bbba=bbb,bbbbbb=bbbbb [11m12s] from: 25167 ab:aa=a,aabba=bbb infinite to: 9155 ab:aa=a,abba=bbb infinite a=a,b=b [11m12s] # 25168 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:3us [11m12s] 25168 ab:aa=a,aabbb=aaa infinite ab - - ab:aa=a,abbb=a [11m12s] from: 25168 ab:aa=a,aabbb=aaa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [11m12s] # 25169 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25169 ab:aa=a,aabbb=aab infinite ab - - ab:aa=a,abbb=ab [11m12s] from: 25169 ab:aa=a,aabbb=aab infinite to: 3023 ab:aa=a,abbb=ab infinite a=a,b=b [11m12s] # 25170 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:3us [11m12s] 25170 ab:aa=a,aabbb=aba infinite ab - - ab:aa=a,abbb=aba [11m12s] from: 25170 ab:aa=a,aabbb=aba infinite to: 9158 ab:aa=a,abbb=aba infinite a=a,b=b [11m12s] # 25171 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 25171 ab:aa=a,aabbb=abb infinite ab - - ab:aa=a,abbb=abb [11m12s] from: 25171 ab:aa=a,aabbb=abb infinite to: 9159 ab:aa=a,abbb=abb infinite a=a,b=b [11m12s] # 25172 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:182,nodes:22,pairs:1,completionMax:8us [11m12s] 25172 ab:aa=a,aabbb=baa infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [11m12s] from: 25172 ab:aa=a,aabbb=baa infinite to: 3024 ab:aa=a,abbb=ba infinite a=a,b=b [11m12s] # 25173 solved: rounds:1,rules:3,peak:3,longest:8,steps:12,word:3,work:222,nodes:20,pairs:1,completionMax:12us [11m12s] 25173 ab:aa=a,aabbb=bab infinite b/a - - ab:abbbbbbb=abbbbb,bab=abbb,aa=a [11m12s] from: 25173 ab:aa=a,aabbb=bab infinite to: 9161 ab:aa=a,abbb=bab infinite a=a,b=b [11m12s] # 25174 solved: rounds:2,rules:4,peak:4,longest:10,steps:8,word:3,work:337,nodes:30,pairs:2,completionMax:23us [11m12s] 25174 ab:aa=a,aabbb=bba infinite b/a - - ab:abbbbbbbbb=abbbbbb,bba=abbb,aa=a,ababbb=abbb [11m12s] from: 25174 ab:aa=a,aabbb=bba infinite to: 9162 ab:aa=a,abbb=bba infinite a=a,b=b [11m12s] # 25175 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:3us [11m12s] 25175 ab:aa=a,aabbb=bbb infinite ab - - ab:aa=a,abbb=bbb [11m12s] from: 25175 ab:aa=a,aabbb=bbb infinite to: 9163 ab:aa=a,abbb=bbb infinite a=a,b=b [11m12s] # 25176 solved: rounds:2,rules:3,peak:3,longest:4,steps:2,word:0,work:69,nodes:8,pairs:5,completionMax:14us [11m12s] 25176 ab:aa=a,abaab=aaa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 25176 ab:aa=a,abaab=aaa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 25177 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:24,nodes:8,pairs:0,completionMax:3us [11m12s] 25177 ab:aa=a,abaab=aab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 25177 ab:aa=a,abaab=aab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 25178 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 25178 ab:aa=a,abaab=aba infinite ab - - ab:aa=a,abab=aba [11m12s] from: 25178 ab:aa=a,abaab=aba infinite to: 9144 ab:aa=a,abab=aba infinite a=a,b=b [11m12s] # 25179 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:57,nodes:12,pairs:5,completionMax:11us [11m12s] 25179 ab:aa=a,abaab=abb infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,cb=cc [11m12s] from: 25179 ab:aa=a,abaab=abb infinite to: 9145 ab:aa=a,abab=abb infinite a=a,b=b,c=c [11m12s] # 25180 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:302,nodes:14,pairs:12,completionMax:26us [11m12s] 25180 ab:aa=a,abaab=baa infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 25180 ab:aa=a,abaab=baa infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 25181 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:58,nodes:12,pairs:4,completionMax:9us [11m12s] 25181 ab:aa=a,abaab=bab infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,bc=cc [11m12s] from: 25181 ab:aa=a,abaab=bab infinite to: 9147 ab:aa=a,abab=bab infinite a=a,b=b,c=c [11m12s] # 25182 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:158,nodes:10,pairs:1,completionMax:8us [11m12s] 25182 ab:aa=a,abaab=bba infinite reversed:a/b - - ab:aa=a,bba=abab,ababa=abab [11m12s] from: 25182 ab:aa=a,abaab=bba infinite to: 9148 ab:aa=a,abab=bba infinite a=a,b=b [11m12s] # 25183 solved: rounds:2,rules:5,peak:5,longest:5,steps:4,word:0,work:422,nodes:20,pairs:4,completionMax:29us [11m12s] 25183 ab:aa=a,abaab=bbb infinite ab - - ab:aa=a,abab=bbb,abbb=bbb,bbbab=bbbb,bbbbb=bbbb [11m12s] from: 25183 ab:aa=a,abaab=bbb infinite to: 9149 ab:aa=a,abab=bbb infinite a=a,b=b [11m12s] # 25184 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 25184 ab:aa=a,ababa=aaa infinite ab - - ab:aa=a,ababa=a [11m12s] from: 25184 ab:aa=a,ababa=aaa infinite to: 2874 ab:aa=a,ababa=a infinite a=a,b=b [11m12s] # 25185 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:467,nodes:14,pairs:18,completionMax:44us [11m12s] 25185 ab:aa=a,ababa=aab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 25185 ab:aa=a,ababa=aab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 25186 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:50,nodes:10,pairs:0,completionMax:4us [11m12s] 25186 ab:aa=a,ababa=aba infinite ab - - ab:aa=a,ababa=aba [11m12s] # 25187 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:1,work:104,nodes:15,pairs:8,completionMax:14us [11m12s] 25187 ab:aa=a,ababa=abb infinite ac/b ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cb=cca [11m12s] # 25188 solved: rounds:1,rules:6,peak:6,longest:5,steps:3,word:0,work:169,nodes:18,pairs:8,completionMax:31us [11m12s] 25188 ab:aa=a,ababa=bab infinite acb ba=c frequency:2/0 abc:aa=a,ca=c,cb=cc,ba=c,acc=cc,bcc=ccc [11m12s] # 25189 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:0,work:432,nodes:22,pairs:6,completionMax:26us [11m12s] 25189 ab:aa=a,ababa=bbb infinite ab - - ab:aa=a,abbb=bbb,bbba=bbb,ababa=bbb,bbbbbb=bbbbb [11m12s] # 25190 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 25190 ab:aa=a,ababb=aaa infinite ab - - ab:aa=a,ababb=a [11m12s] from: 25190 ab:aa=a,ababb=aaa infinite to: 2876 ab:aa=a,ababb=a infinite a=a,b=b [11m12s] # 25191 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:4us [11m12s] 25191 ab:aa=a,ababb=aab infinite ab - - ab:aa=a,ababb=ab [11m12s] from: 25191 ab:aa=a,ababb=aab infinite to: 8878 ab:aa=a,ababb=ab infinite a=a,b=b [11m12s] # 25192 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [11m12s] 25192 ab:aa=a,ababb=aba infinite ab - - ab:aa=a,ababb=aba [11m12s] # 25193 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [11m12s] 25193 ab:aa=a,ababb=abb infinite ab - - ab:aa=a,ababb=abb [11m12s] # 25194 solved: rounds:3,rules:5,peak:5,longest:5,steps:2,word:0,work:204,nodes:18,pairs:8,completionMax:21us [11m12s] 25194 ab:aa=a,ababb=baa infinite ab - - ab:aa=a,aba=ba,abba=bba,babb=ba,bbba=ba [11m12s] from: 25194 ab:aa=a,ababb=baa infinite to: 8879 ab:aa=a,ababb=ba infinite a=a,b=b [11m12s] # 25195 solved: rounds:3,rules:5,peak:5,longest:5,steps:4,word:0,work:459,nodes:24,pairs:8,completionMax:35us [11m12s] 25195 ab:aa=a,ababb=bab infinite ab - - ab:aa=a,abab=bab,babb=bab,abbab=bbab,bbbab=bbab [11m12s] # 25196 solved: rounds:4,rules:6,peak:11,longest:10,steps:8,word:0,work:5979,nodes:36,pairs:54,completionMax:209us [11m12s] 25196 ab:aa=a,ababb=bba infinite ab - - ab:aa=a,abba=bba,ababb=bba,abbba=bba,bbaba=bba,bbbba=bbabb [11m12s] # 25197 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:1,completionMax:6us [11m12s] 25197 ab:aa=a,ababb=bbb infinite ab - - ab:aa=a,abbb=bbb,ababb=bbb [11m12s] # 25198 solved: rounds:3,rules:4,peak:7,longest:6,steps:3,word:0,work:681,nodes:16,pairs:24,completionMax:61us [11m12s] 25198 ab:aa=a,abbab=aaa infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=a [11m12s] from: 25198 ab:aa=a,abbab=aaa infinite to: 2878 ab:aa=a,abbab=a infinite a=a,b=b [11m12s] # 25199 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:10,pairs:0,completionMax:4us [11m12s] 25199 ab:aa=a,abbab=aab infinite ab - - ab:aa=a,abbab=ab [11m12s] from: 25199 ab:aa=a,abbab=aab infinite to: 8882 ab:aa=a,abbab=ab infinite a=a,b=b [11m12s] # 25200 solved: rounds:3,rules:4,peak:4,longest:6,steps:3,word:0,work:369,nodes:16,pairs:7,completionMax:30us [11m12s] 25200 ab:aa=a,abbab=aba infinite ab - - ab:aa=a,ababa=abab,ababb=aba,abbab=aba [11m12s] # 25201 solved: rounds:1,rules:5,peak:5,longest:5,steps:2,word:0,work:60,nodes:15,pairs:5,completionMax:10us [11m12s] 25201 ab:aa=a,abbab=abb infinite acb abb=c frequency:3/1 abc:aa=a,ac=c,cb=cc,abb=c,cab=c [11m12s] # 25202 solved: rounds:3,rules:4,peak:9,longest:5,steps:4,word:0,work:1151,nodes:26,pairs:23,completionMax:64us [11m12s] 25202 ab:aa=a,abbab=baa infinite ab - - ab:aa=a,aba=ba,bba=bab,babb=ba [11m12s] from: 25202 ab:aa=a,abbab=baa infinite to: 8883 ab:aa=a,abbab=ba infinite a=a,b=b [11m12s] # 25203 solved: rounds:2,rules:3,peak:5,longest:6,steps:4,word:0,work:411,nodes:22,pairs:10,completionMax:31us [11m12s] 25203 ab:aa=a,abbab=bab infinite ab - - ab:aa=a,abab=bab,bbab=bab [11m12s] # 25204 solved: rounds:2,rules:4,peak:6,longest:6,steps:6,word:0,work:777,nodes:26,pairs:11,completionMax:47us [11m12s] 25204 ab:aa=a,abbab=bba infinite ab - - ab:aa=a,abba=bba,bbab=bba,bbbba=bba [11m12s] # 25205 solved: rounds:1,rules:4,peak:4,longest:6,steps:1,word:0,work:95,nodes:20,pairs:2,completionMax:15us [11m12s] 25205 ab:aa=a,abbab=bbb infinite ab - - ab:aa=a,abbb=bbb,abbab=bbb,bbbbab=bbbbb [11m12s] # 25206 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:2us [11m12s] 25206 ab:aa=a,abbba=aaa infinite ab - - ab:aa=a,abbba=a [11m12s] from: 25206 ab:aa=a,abbba=aaa infinite to: 2880 ab:aa=a,abbba=a infinite a=a,b=b [11m12s] # 25207 solved: rounds:2,rules:4,peak:6,longest:6,steps:3,word:0,work:368,nodes:12,pairs:10,completionMax:32us [11m12s] 25207 ab:aa=a,abbba=aab infinite ab - - ab:aa=a,aba=ab,abba=abb,abbb=ab [11m12s] from: 25207 ab:aa=a,abbba=aab infinite to: 8886 ab:aa=a,abbba=ab infinite a=a,b=b [11m12s] # 25208 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 25208 ab:aa=a,abbba=aba infinite ab - - ab:aa=a,abbba=aba [11m12s] # 25209 solved: rounds:3,rules:7,peak:10,longest:8,steps:3,word:0,work:661,nodes:36,pairs:20,completionMax:70us [11m12s] 25209 ab:aa=a,abbba=abb infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cba=cb,cbb=cbc,cbca=cb,cbcc=cbc [11m12s] # 25210 solved: rounds:3,rules:7,peak:10,longest:8,steps:8,word:0,work:4069,nodes:30,pairs:48,completionMax:161us [11m12s] 25210 ab:aa=a,abbba=bab infinite ab - - ab:aa=a,abab=bab,baba=bab,bbab=babb,abbba=bab,babba=babb,babbb=babb [11m12s] # 25211 solved: rounds:1,rules:3,peak:4,longest:5,steps:1,word:0,work:87,nodes:16,pairs:3,completionMax:12us [11m12s] 25211 ab:aa=a,abbba=bbb infinite ab - - ab:aa=a,abbb=bbb,bbba=bbb [11m12s] # 25212 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:5us [11m12s] 25212 ab:aa=a,abbbb=aaa infinite ab - - ab:aa=a,abbbb=a [11m12s] from: 25212 ab:aa=a,abbbb=aaa infinite to: 2882 ab:aa=a,abbbb=a infinite a=a,b=b [11m12s] # 25213 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 25213 ab:aa=a,abbbb=aab infinite ab - - ab:aa=a,abbbb=ab [11m12s] from: 25213 ab:aa=a,abbbb=aab infinite to: 8889 ab:aa=a,abbbb=ab infinite a=a,b=b [11m12s] # 25214 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [11m12s] 25214 ab:aa=a,abbbb=aba infinite ab - - ab:aa=a,abbbb=aba [11m12s] # 25215 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [11m12s] 25215 ab:aa=a,abbbb=abb infinite ab - - ab:aa=a,abbbb=abb [11m12s] # 25216 solved: rounds:1,rules:3,peak:3,longest:17,steps:21,word:12,work:375,nodes:36,pairs:1,completionMax:14us [11m12s] 25216 ab:aa=a,abbbb=baa infinite b/a - - ab:abbbbbbbbbbbbbbbb=abbbb,ba=abbbb,aa=a [11m12s] from: 25216 ab:aa=a,abbbb=baa infinite to: 8890 ab:aa=a,abbbb=ba infinite a=a,b=b [11m12s] # 25217 solved: rounds:1,rules:3,peak:3,longest:14,steps:18,word:8,work:368,nodes:32,pairs:1,completionMax:23us [11m12s] 25217 ab:aa=a,abbbb=bab infinite b/a - - ab:abbbbbbbbbbbbb=abbbbbbb,bab=abbbb,aa=a [11m12s] # 25218 solved: rounds:1,rules:3,peak:3,longest:9,steps:7,word:4,work:219,nodes:22,pairs:1,completionMax:11us [11m12s] 25218 ab:aa=a,abbbb=bba infinite b/a - - ab:abbbbbbbb=abbbb,bba=abbbb,aa=a [11m12s] # 25219 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:113,nodes:14,pairs:2,completionMax:11us [11m12s] 25219 ab:aa=a,abbbb=bbb infinite ab - - ab:aa=a,abbb=bbb,bbbb=bbb [11m12s] # 25220 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:58,nodes:8,pairs:3,completionMax:9us [11m12s] 25220 ab:aa=a,baaab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [11m12s] from: 25220 ab:aa=a,baaab=aaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [11m12s] # 25221 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 25221 ab:aa=a,baaab=aab infinite ab - - ab:aa=a,bab=ab [11m12s] from: 25221 ab:aa=a,baaab=aab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [11m12s] # 25222 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:8,pairs:0,completionMax:4us [11m12s] 25222 ab:aa=a,baaab=aba infinite ab - - ab:aa=a,bab=aba [11m12s] from: 25222 ab:aa=a,baaab=aba infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [11m12s] # 25223 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:29,nodes:8,pairs:0,completionMax:3us [11m12s] 25223 ab:aa=a,baaab=abb infinite ab - - ab:aa=a,bab=abb [11m12s] from: 25223 ab:aa=a,baaab=abb infinite to: 3147 ab:aa=a,bab=abb infinite a=a,b=b [11m12s] # 25224 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:2us [11m12s] 25224 ab:aa=a,baaab=bab infinite ab - - ab:aa=a [11m12s] from: 25224 ab:aa=a,baaab=bab infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25225 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:2us [11m12s] 25225 ab:aa=a,baaab=bbb infinite ba - - ab:aa=a,bab=bbb [11m12s] from: 25225 ab:aa=a,baaab=bbb infinite to: 3153 ab:aa=a,bbb=bab infinite a=a,b=b [11m12s] # 25226 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:776,nodes:24,pairs:5,completionMax:29us [11m12s] 25226 ab:aa=a,baabb=aaa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [11m12s] from: 25226 ab:aa=a,baabb=aaa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [11m12s] # 25227 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:297,nodes:12,pairs:10,completionMax:22us [11m12s] 25227 ab:aa=a,baabb=aab infinite ab - - ab:aa=a,bab=abb,abbb=ab [11m12s] from: 25227 ab:aa=a,baabb=aab infinite to: 3030 ab:aa=a,babb=ab infinite a=a,b=b [11m12s] # 25228 solved: rounds:3,rules:4,peak:4,longest:6,steps:4,word:0,work:356,nodes:22,pairs:4,completionMax:24us [11m12s] 25228 ab:aa=a,baabb=aba infinite ab - - ab:aa=a,babb=aba,ababa=baba,bbaba=aba [11m12s] from: 25228 ab:aa=a,baabb=aba infinite to: 9172 ab:aa=a,babb=aba infinite a=a,b=b [11m12s] # 25229 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:33,nodes:10,pairs:0,completionMax:2us [11m12s] 25229 ab:aa=a,baabb=abb infinite ab - - ab:aa=a,babb=abb [11m12s] from: 25229 ab:aa=a,baabb=abb infinite to: 9173 ab:aa=a,babb=abb infinite a=a,b=b [11m12s] # 25230 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:3us [11m12s] 25230 ab:aa=a,baabb=baa infinite ab - - ab:aa=a,babb=ba [11m12s] from: 25230 ab:aa=a,baabb=baa infinite to: 3031 ab:aa=a,babb=ba infinite a=a,b=b [11m12s] # 25231 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 25231 ab:aa=a,baabb=bab infinite ab - - ab:aa=a,babb=bab [11m12s] from: 25231 ab:aa=a,baabb=bab infinite to: 9175 ab:aa=a,babb=bab infinite a=a,b=b [11m12s] # 25232 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:197,nodes:20,pairs:3,completionMax:16us [11m12s] 25232 ab:aa=a,baabb=bba infinite ab - - ab:aa=a,babb=bba,bbaba=bbba,bbbba=bbba [11m12s] from: 25232 ab:aa=a,baabb=bba infinite to: 9176 ab:aa=a,babb=bba infinite a=a,b=b [11m12s] # 25233 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 25233 ab:aa=a,baabb=bbb infinite ab - - ab:aa=a,babb=bbb [11m12s] from: 25233 ab:aa=a,baabb=bbb infinite to: 9177 ab:aa=a,babb=bbb infinite a=a,b=b [11m12s] # 25234 solved: rounds:2,rules:3,peak:3,longest:5,steps:5,word:0,work:128,nodes:12,pairs:5,completionMax:17us [11m12s] 25234 ab:aa=a,babab=aaa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 ab - - ab:aa=a,ba=ab,abbb=a [11m12s] from: 25234 ab:aa=a,babab=aaa infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 to: 2888 ab:aa=a,babab=a infinite;commutative:ab:a2=a,ab3=a;saturation:a:a3=1;noncancellative:a,1,ab,ab;smith:3 a=a,b=b [11m12s] # 25235 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:125,nodes:16,pairs:4,completionMax:16us [11m12s] 25235 ab:aa=a,babab=aab infinite ab - - ab:aa=a,abab=bab,bbab=ab [11m12s] from: 25235 ab:aa=a,babab=aab infinite to: 8900 ab:aa=a,babab=ab infinite a=a,b=b [11m12s] # 25236 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:210,nodes:16,pairs:6,completionMax:22us [11m12s] 25236 ab:aa=a,babab=aba infinite ab - - ab:aa=a,baba=abab,ababb=aba [11m12s] # 25237 solved: rounds:2,rules:6,peak:7,longest:6,steps:5,word:0,work:947,nodes:26,pairs:12,completionMax:53us [11m12s] 25237 ab:aa=a,babab=abb infinite ab - - ab:aa=a,babb=abbb,abbab=abbb,abbbb=abbb,babab=abb,abbbab=abbb [11m12s] # 25238 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:34,nodes:12,pairs:0,completionMax:3us [11m12s] 25238 ab:aa=a,babab=bab infinite ab - - ab:aa=a,babab=bab [11m12s] # 25239 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:100,nodes:18,pairs:1,completionMax:10us [11m12s] 25239 ab:aa=a,babab=bbb infinite ab - - ab:aa=a,babab=bbb,bbbab=babbb [11m12s] # 25240 solved: rounds:3,rules:3,peak:9,longest:19,steps:13,word:24,work:3782,nodes:46,pairs:33,completionMax:136us [11m12s] 25240 ab:aa=a,babbb=aaa infinite b/a - - ab:abbbbbbbbbbbb=a,ba=abbbbbbbbb,aa=a [11m12s] from: 25240 ab:aa=a,babbb=aaa infinite to: 2890 ab:aa=a,babbb=a infinite a=a,b=b [11m12s] # 25241 solved: rounds:3,rules:3,peak:6,longest:8,steps:9,word:9,work:1337,nodes:28,pairs:12,completionMax:61us [11m12s] 25241 ab:aa=a,babbb=aab infinite b/a - - ab:abbbbbbb=ab,bab=abbbbb,aa=a [11m12s] from: 25241 ab:aa=a,babbb=aab infinite to: 8903 ab:aa=a,babbb=ab infinite a=a,b=b [11m12s] # 25242 solved: rounds:1,rules:3,peak:3,longest:7,steps:3,word:0,work:92,nodes:16,pairs:1,completionMax:10us [11m12s] 25242 ab:aa=a,babbb=aba infinite ab - - ab:aa=a,babbb=aba,babbaba=aba [11m12s] # 25243 solved: rounds:3,rules:3,peak:6,longest:7,steps:8,word:0,work:1022,nodes:26,pairs:9,completionMax:48us [11m12s] 25243 ab:aa=a,babbb=abb infinite ab - - ab:aa=a,babb=abbb,abbbb=abb [11m12s] # 25244 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:23,nodes:12,pairs:0,completionMax:2us [11m12s] 25244 ab:aa=a,babbb=baa infinite ab - - ab:aa=a,babbb=ba [11m12s] from: 25244 ab:aa=a,babbb=baa infinite to: 8904 ab:aa=a,babbb=ba infinite a=a,b=b [11m12s] # 25245 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [11m12s] 25245 ab:aa=a,babbb=bab infinite ab - - ab:aa=a,babbb=bab [11m12s] # 25246 solved: rounds:3,rules:4,peak:5,longest:11,steps:11,word:8,work:1869,nodes:38,pairs:4,completionMax:49us [11m12s] 25246 ab:aa=a,babbb=bba infinite b/a - - ab:babbbbbbbbb=babbb,bba=babbb,aa=a,bababbb=babbbbbb [11m12s] # 25247 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:1us [11m12s] 25247 ab:aa=a,babbb=bbb infinite ab - - ab:aa=a,babbb=bbb [11m12s] # 25248 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:114,nodes:14,pairs:5,completionMax:13us [11m12s] 25248 ab:aa=a,bbabb=aaa infinite ab - - ab:aa=a,bba=abb,abbbb=a [11m12s] from: 25248 ab:aa=a,bbabb=aaa infinite to: 2892 ab:aa=a,bbabb=a infinite a=a,b=b [11m12s] # 25249 solved: rounds:3,rules:4,peak:7,longest:6,steps:4,word:0,work:1180,nodes:30,pairs:20,completionMax:66us [11m12s] 25249 ab:aa=a,bbabb=aab infinite ab - - ab:aa=a,abab=abb,bbab=abbb,abbbb=ab [11m12s] from: 25249 ab:aa=a,bbabb=aab infinite to: 8907 ab:aa=a,bbabb=ab infinite a=a,b=b [11m12s] # 25250 solved: rounds:2,rules:6,peak:6,longest:7,steps:3,word:0,work:655,nodes:22,pairs:7,completionMax:30us [11m12s] 25250 ab:aa=a,bbabb=aba infinite ab - - ab:aa=a,bbaba=ababb,bbabb=aba,ababba=ababb,ababbba=abababb,ababbbb=ababa [11m12s] # 25251 solved: rounds:2,rules:11,peak:15,longest:5,steps:3,word:4,work:1444,nodes:48,pairs:18,completionMax:119us [11m12s] 25251 ab:aa=a,bbabb=abb infinite bc/a bab=c frequency:3/1 abc:ccb=cb,ccc=cc,bbcb=cb,bbcc=cc,abb=bcb,abc=bcc,acb=bcbcb,acc=bcbcc,bab=c,cab=bac,aa=a [11m12s] # 25252 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:109,nodes:14,pairs:1,completionMax:8us [11m12s] 25252 ab:aa=a,bbabb=bab infinite ab - - ab:aa=a,bbabb=bab,bbabab=bababb [11m12s] # 25253 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:27,nodes:12,pairs:0,completionMax:3us [11m12s] 25253 ab:aa=a,bbabb=bbb infinite ab - - ab:aa=a,bbabb=bbb [11m12s] # 25254 solved: rounds:1,rules:2,peak:2,longest:10,steps:2,word:8,work:137,nodes:20,pairs:2,completionMax:12us [11m12s] 25254 ab:aa=a,bbbbb=aaa finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 b/a - - ab:bbbbbbbbbb=bbbbb,a=bbbbb [11m12s] from: 25254 ab:aa=a,bbbbb=aaa finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=bbbbb,b=b [11m12s] # 25255 solved: rounds:1,rules:3,peak:3,longest:9,steps:2,word:3,work:147,nodes:20,pairs:1,completionMax:12us [11m12s] 25255 ab:aa=a,bbbbb=aab finite:18;idempotents:1,a,bbbbbbbb,bbbbbbbba b/a - - ab:bbbbbbbbb=bbbbb,ab=bbbbb,aa=a [11m12s] from: 25255 ab:aa=a,bbbbb=aab finite:18;idempotents:1,a,bbbbbbbb,bbbbbbbba to: 8910 ab:aa=a,bbbbb=ab finite:18;idempotents:1,a,bbbbbbbb,bbbbbbbba a=a,b=b [11m12s] # 25256 solved: rounds:2,rules:5,peak:5,longest:10,steps:2,word:2,work:511,nodes:30,pairs:5,completionMax:39us [11m12s] 25256 ab:aa=a,bbbbb=aba infinite b/a - - ab:bbbbbbbbbb=bbbbbb,abbbbb=bbbbb,bbbbba=bbbbb,aa=a,aba=bbbbb [11m12s] # 25257 solved: rounds:1,rules:3,peak:3,longest:8,steps:2,word:2,work:176,nodes:20,pairs:1,completionMax:14us [11m12s] 25257 ab:aa=a,bbbbb=abb infinite b/a - - ab:bbbbbbbb=bbbbb,abb=bbbbb,aa=a [11m12s] # 25258 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:2,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25258 ab:aa=a,bbbbb=bab infinite b/a - - ab:bab=bbbbb,aa=a [11m12s] # 25259 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:44,nodes:12,pairs:0,completionMax:3us [11m12s] 25259 ab:aa=a,bbbbb=bbb infinite ab - - ab:aa=a,bbbbb=bbb [11m12s] # 25260 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:40,nodes:10,pairs:0,completionMax:18us [11m12s] 25260 ab:aa=b,aaaaa=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 a/b - - ab:aaaaa=aaa,b=aa [11m12s] from: 25260 ab:aa=b,aaaaa=aaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaa,aaa;smith:2 to: 574 ab:aaa=b,aab=b finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a3,b=a3;saturation:a:a2=1;noncancellative:a,aaa,aaaa,aaa;smith:2 a=a,b=aa [11m12s] # 25261 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:103,nodes:10,pairs:0,completionMax:4us [11m12s] 25261 ab:aa=b,aaaaa=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [11m12s] from: 25261 ab:aa=b,aaaaa=aab finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [11m12s] # 25262 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:102,nodes:10,pairs:0,completionMax:4us [11m12s] 25262 ab:aa=b,aaaaa=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [11m12s] from: 25262 ab:aa=b,aaaaa=aba finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [11m12s] # 25263 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:6,nodes:2,pairs:0,completionMax:0us [11m12s] 25263 ab:aa=b,aaaaa=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25263 ab:aa=b,aaaaa=abb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25264 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:5,nodes:2,pairs:0,completionMax:1us [11m12s] 25264 ab:aa=b,aaaaa=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25264 ab:aa=b,aaaaa=bab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25265 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:3,work:189,nodes:12,pairs:0,completionMax:6us [11m12s] 25265 ab:aa=b,aaaaa=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25265 ab:aa=b,aaaaa=bbb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25266 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:41,nodes:12,pairs:0,completionMax:3us [11m12s] 25266 ab:aa=b,aaaab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [11m12s] from: 25266 ab:aa=b,aaaab=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25267 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:80,nodes:12,pairs:0,completionMax:5us [11m12s] 25267 ab:aa=b,aaaab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25267 ab:aa=b,aaaab=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25268 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:79,nodes:12,pairs:0,completionMax:4us [11m12s] 25268 ab:aa=b,aaaab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25268 ab:aa=b,aaaab=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25269 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:5us [11m12s] 25269 ab:aa=b,aaaab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25269 ab:aa=b,aaaab=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25270 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:78,nodes:12,pairs:0,completionMax:4us [11m12s] 25270 ab:aa=b,aaaab=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25270 ab:aa=b,aaaab=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25271 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:4us [11m12s] 25271 ab:aa=b,aaaab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25271 ab:aa=b,aaaab=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25272 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:5us [11m12s] 25272 ab:aa=b,aaaab=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25272 ab:aa=b,aaaab=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25273 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:14,nodes:2,pairs:0,completionMax:0us [11m12s] 25273 ab:aa=b,aaaab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25273 ab:aa=b,aaaab=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25274 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:40,nodes:12,pairs:0,completionMax:3us [11m12s] 25274 ab:aa=b,aaaba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [11m12s] from: 25274 ab:aa=b,aaaba=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25275 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:79,nodes:12,pairs:0,completionMax:22us [11m12s] 25275 ab:aa=b,aaaba=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25275 ab:aa=b,aaaba=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25276 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:78,nodes:12,pairs:0,completionMax:4us [11m12s] 25276 ab:aa=b,aaaba=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25276 ab:aa=b,aaaba=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25277 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:6us [11m12s] 25277 ab:aa=b,aaaba=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25277 ab:aa=b,aaaba=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25278 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:77,nodes:12,pairs:0,completionMax:6us [11m12s] 25278 ab:aa=b,aaaba=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25278 ab:aa=b,aaaba=baa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25279 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:5us [11m12s] 25279 ab:aa=b,aaaba=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25279 ab:aa=b,aaaba=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25280 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:188,nodes:12,pairs:0,completionMax:7us [11m12s] 25280 ab:aa=b,aaaba=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25280 ab:aa=b,aaaba=bba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25281 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:13,nodes:2,pairs:0,completionMax:0us [11m12s] 25281 ab:aa=b,aaaba=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25281 ab:aa=b,aaaba=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25282 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:52,nodes:14,pairs:0,completionMax:6us [11m12s] 25282 ab:aa=b,aaabb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25282 ab:aa=b,aaabb=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25283 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:83,nodes:14,pairs:0,completionMax:6us [11m12s] 25283 ab:aa=b,aaabb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25283 ab:aa=b,aaabb=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25284 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:82,nodes:14,pairs:0,completionMax:8us [11m12s] 25284 ab:aa=b,aaabb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25284 ab:aa=b,aaabb=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25285 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:142,nodes:14,pairs:0,completionMax:5us [11m12s] 25285 ab:aa=b,aaabb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25285 ab:aa=b,aaabb=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25286 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:3us [11m12s] 25286 ab:aa=b,aaabb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25286 ab:aa=b,aaabb=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25287 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:141,nodes:14,pairs:0,completionMax:4us [11m12s] 25287 ab:aa=b,aaabb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25287 ab:aa=b,aaabb=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25288 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:140,nodes:14,pairs:0,completionMax:4us [11m12s] 25288 ab:aa=b,aaabb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25288 ab:aa=b,aaabb=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25289 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:313,nodes:14,pairs:0,completionMax:9us [11m12s] 25289 ab:aa=b,aaabb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25289 ab:aa=b,aaabb=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25290 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:1,work:39,nodes:12,pairs:0,completionMax:5us [11m12s] 25290 ab:aa=b,aabaa=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaa=aaa,b=aa [11m12s] from: 25290 ab:aa=b,aabaa=aaa finite:6;idempotents:1,aaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a3,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 245 ab:aa=a,bbb=a finite:6;idempotents:1,bbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b3,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25291 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:78,nodes:12,pairs:0,completionMax:4us [11m12s] 25291 ab:aa=b,aabaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25291 ab:aa=b,aabaa=aab finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25292 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:1,work:77,nodes:12,pairs:0,completionMax:3us [11m12s] 25292 ab:aa=b,aabaa=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25292 ab:aa=b,aabaa=aba finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25293 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:3us [11m12s] 25293 ab:aa=b,aabaa=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25293 ab:aa=b,aabaa=abb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25294 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:188,nodes:12,pairs:0,completionMax:5us [11m12s] 25294 ab:aa=b,aabaa=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25294 ab:aa=b,aabaa=bab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25295 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:12,nodes:2,pairs:0,completionMax:1us [11m12s] 25295 ab:aa=b,aabaa=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25295 ab:aa=b,aabaa=bbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25296 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:51,nodes:14,pairs:0,completionMax:6us [11m12s] 25296 ab:aa=b,aabab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25296 ab:aa=b,aabab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25297 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:82,nodes:14,pairs:0,completionMax:6us [11m12s] 25297 ab:aa=b,aabab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25297 ab:aa=b,aabab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25298 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:6us [11m12s] 25298 ab:aa=b,aabab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25298 ab:aa=b,aabab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25299 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:141,nodes:14,pairs:0,completionMax:5us [11m12s] 25299 ab:aa=b,aabab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25299 ab:aa=b,aabab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25300 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:6us [11m12s] 25300 ab:aa=b,aabab=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25300 ab:aa=b,aabab=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25301 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:140,nodes:14,pairs:0,completionMax:5us [11m12s] 25301 ab:aa=b,aabab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25301 ab:aa=b,aabab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25302 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:139,nodes:14,pairs:0,completionMax:5us [11m12s] 25302 ab:aa=b,aabab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25302 ab:aa=b,aabab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25303 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:312,nodes:14,pairs:0,completionMax:7us [11m12s] 25303 ab:aa=b,aabab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25303 ab:aa=b,aabab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25304 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:50,nodes:14,pairs:0,completionMax:6us [11m12s] 25304 ab:aa=b,aabba=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25304 ab:aa=b,aabba=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25305 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:5us [11m12s] 25305 ab:aa=b,aabba=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25305 ab:aa=b,aabba=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25306 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:4us [11m12s] 25306 ab:aa=b,aabba=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25306 ab:aa=b,aabba=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25307 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:140,nodes:14,pairs:0,completionMax:4us [11m12s] 25307 ab:aa=b,aabba=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25307 ab:aa=b,aabba=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25308 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:79,nodes:14,pairs:0,completionMax:6us [11m12s] 25308 ab:aa=b,aabba=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25308 ab:aa=b,aabba=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25309 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:139,nodes:14,pairs:0,completionMax:5us [11m12s] 25309 ab:aa=b,aabba=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25309 ab:aa=b,aabba=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25310 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:138,nodes:14,pairs:0,completionMax:7us [11m12s] 25310 ab:aa=b,aabba=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25310 ab:aa=b,aabba=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25311 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:311,nodes:14,pairs:0,completionMax:7us [11m12s] 25311 ab:aa=b,aabba=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25311 ab:aa=b,aabba=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25312 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:63,nodes:16,pairs:0,completionMax:7us [11m12s] 25312 ab:aa=b,aabbb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25312 ab:aa=b,aabbb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25313 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:82,nodes:16,pairs:0,completionMax:6us [11m12s] 25313 ab:aa=b,aabbb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25313 ab:aa=b,aabbb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25314 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:81,nodes:16,pairs:0,completionMax:7us [11m12s] 25314 ab:aa=b,aabbb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25314 ab:aa=b,aabbb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25315 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:133,nodes:16,pairs:0,completionMax:7us [11m12s] 25315 ab:aa=b,aabbb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25315 ab:aa=b,aabbb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25316 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:7us [11m12s] 25316 ab:aa=b,aabbb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25316 ab:aa=b,aabbb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25317 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:132,nodes:16,pairs:0,completionMax:6us [11m12s] 25317 ab:aa=b,aabbb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25317 ab:aa=b,aabbb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25318 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:131,nodes:16,pairs:0,completionMax:5us [11m12s] 25318 ab:aa=b,aabbb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25318 ab:aa=b,aabbb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25319 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:216,nodes:16,pairs:0,completionMax:10us [11m12s] 25319 ab:aa=b,aabbb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25319 ab:aa=b,aabbb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25320 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:50,nodes:14,pairs:0,completionMax:5us [11m12s] 25320 ab:aa=b,abaab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25320 ab:aa=b,abaab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25321 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:81,nodes:14,pairs:0,completionMax:5us [11m12s] 25321 ab:aa=b,abaab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25321 ab:aa=b,abaab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25322 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:4us [11m12s] 25322 ab:aa=b,abaab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25322 ab:aa=b,abaab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25323 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:140,nodes:14,pairs:0,completionMax:5us [11m12s] 25323 ab:aa=b,abaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25323 ab:aa=b,abaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25324 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:79,nodes:14,pairs:0,completionMax:8us [11m12s] 25324 ab:aa=b,abaab=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25324 ab:aa=b,abaab=baa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25325 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:139,nodes:14,pairs:0,completionMax:5us [11m12s] 25325 ab:aa=b,abaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25325 ab:aa=b,abaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25326 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:138,nodes:14,pairs:0,completionMax:6us [11m12s] 25326 ab:aa=b,abaab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25326 ab:aa=b,abaab=bba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25327 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:311,nodes:14,pairs:0,completionMax:8us [11m12s] 25327 ab:aa=b,abaab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25327 ab:aa=b,abaab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25328 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:49,nodes:14,pairs:0,completionMax:6us [11m12s] 25328 ab:aa=b,ababa=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25328 ab:aa=b,ababa=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25329 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:4us [11m12s] 25329 ab:aa=b,ababa=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25329 ab:aa=b,ababa=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25330 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:79,nodes:14,pairs:0,completionMax:4us [11m12s] 25330 ab:aa=b,ababa=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25330 ab:aa=b,ababa=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25331 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:139,nodes:14,pairs:0,completionMax:5us [11m12s] 25331 ab:aa=b,ababa=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25331 ab:aa=b,ababa=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25332 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:138,nodes:14,pairs:0,completionMax:4us [11m12s] 25332 ab:aa=b,ababa=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25332 ab:aa=b,ababa=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25333 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:310,nodes:14,pairs:0,completionMax:5us [11m12s] 25333 ab:aa=b,ababa=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25333 ab:aa=b,ababa=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25334 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:62,nodes:16,pairs:0,completionMax:9us [11m12s] 25334 ab:aa=b,ababb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25334 ab:aa=b,ababb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25335 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:81,nodes:16,pairs:0,completionMax:5us [11m12s] 25335 ab:aa=b,ababb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25335 ab:aa=b,ababb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25336 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:7us [11m12s] 25336 ab:aa=b,ababb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25336 ab:aa=b,ababb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25337 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:132,nodes:16,pairs:0,completionMax:7us [11m12s] 25337 ab:aa=b,ababb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25337 ab:aa=b,ababb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25338 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:79,nodes:16,pairs:0,completionMax:5us [11m12s] 25338 ab:aa=b,ababb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25338 ab:aa=b,ababb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25339 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:131,nodes:16,pairs:0,completionMax:7us [11m12s] 25339 ab:aa=b,ababb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25339 ab:aa=b,ababb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25340 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:130,nodes:16,pairs:0,completionMax:7us [11m12s] 25340 ab:aa=b,ababb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25340 ab:aa=b,ababb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25341 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:215,nodes:16,pairs:0,completionMax:7us [11m12s] 25341 ab:aa=b,ababb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25341 ab:aa=b,ababb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25342 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:61,nodes:16,pairs:0,completionMax:5us [11m12s] 25342 ab:aa=b,abbab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25342 ab:aa=b,abbab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25343 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:5us [11m12s] 25343 ab:aa=b,abbab=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25343 ab:aa=b,abbab=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25344 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:79,nodes:16,pairs:0,completionMax:6us [11m12s] 25344 ab:aa=b,abbab=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25344 ab:aa=b,abbab=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25345 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:131,nodes:16,pairs:0,completionMax:6us [11m12s] 25345 ab:aa=b,abbab=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25345 ab:aa=b,abbab=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25346 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:78,nodes:16,pairs:0,completionMax:6us [11m12s] 25346 ab:aa=b,abbab=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25346 ab:aa=b,abbab=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25347 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:130,nodes:16,pairs:0,completionMax:6us [11m12s] 25347 ab:aa=b,abbab=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25347 ab:aa=b,abbab=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25348 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:129,nodes:16,pairs:0,completionMax:4us [11m12s] 25348 ab:aa=b,abbab=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25348 ab:aa=b,abbab=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25349 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:214,nodes:16,pairs:0,completionMax:6us [11m12s] 25349 ab:aa=b,abbab=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25349 ab:aa=b,abbab=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25350 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:60,nodes:16,pairs:0,completionMax:5us [11m12s] 25350 ab:aa=b,abbba=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25350 ab:aa=b,abbba=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25351 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:79,nodes:16,pairs:0,completionMax:5us [11m12s] 25351 ab:aa=b,abbba=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25351 ab:aa=b,abbba=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25352 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:78,nodes:16,pairs:0,completionMax:4us [11m12s] 25352 ab:aa=b,abbba=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25352 ab:aa=b,abbba=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25353 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:130,nodes:16,pairs:0,completionMax:4us [11m12s] 25353 ab:aa=b,abbba=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25353 ab:aa=b,abbba=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25354 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:129,nodes:16,pairs:0,completionMax:6us [11m12s] 25354 ab:aa=b,abbba=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25354 ab:aa=b,abbba=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25355 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:213,nodes:16,pairs:0,completionMax:5us [11m12s] 25355 ab:aa=b,abbba=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25355 ab:aa=b,abbba=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25356 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:74,nodes:18,pairs:0,completionMax:5us [11m12s] 25356 ab:aa=b,abbbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 25356 ab:aa=b,abbbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 25357 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:95,nodes:18,pairs:0,completionMax:5us [11m12s] 25357 ab:aa=b,abbbb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25357 ab:aa=b,abbbb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25358 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:94,nodes:18,pairs:0,completionMax:4us [11m12s] 25358 ab:aa=b,abbbb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25358 ab:aa=b,abbbb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25359 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:134,nodes:18,pairs:0,completionMax:6us [11m12s] 25359 ab:aa=b,abbbb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25359 ab:aa=b,abbbb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25360 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:93,nodes:18,pairs:0,completionMax:8us [11m12s] 25360 ab:aa=b,abbbb=baa finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25360 ab:aa=b,abbbb=baa finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25361 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:133,nodes:18,pairs:0,completionMax:7us [11m12s] 25361 ab:aa=b,abbbb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25361 ab:aa=b,abbbb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25362 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:132,nodes:18,pairs:0,completionMax:5us [11m12s] 25362 ab:aa=b,abbbb=bba finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25362 ab:aa=b,abbbb=bba finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25363 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:191,nodes:18,pairs:0,completionMax:7us [11m12s] 25363 ab:aa=b,abbbb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aa [11m12s] from: 25363 ab:aa=b,abbbb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bb [11m12s] # 25364 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:49,nodes:14,pairs:0,completionMax:4us [11m12s] 25364 ab:aa=b,baaab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 a/b - - ab:aaaaaaa=aaa,b=aa [11m12s] from: 25364 ab:aa=b,baaab=aaa finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaa,aaa;smith:4 to: 578 ab:aaa=b,abb=b finite:7;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a3,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaa,aaaa;smith:4 a=a,b=aa [11m12s] # 25365 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:80,nodes:14,pairs:0,completionMax:5us [11m12s] 25365 ab:aa=b,baaab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25365 ab:aa=b,baaab=aab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25366 solved: rounds:0,rules:2,peak:2,longest:7,steps:2,word:2,work:79,nodes:14,pairs:0,completionMax:3us [11m12s] 25366 ab:aa=b,baaab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25366 ab:aa=b,baaab=aba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25367 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:139,nodes:14,pairs:0,completionMax:4us [11m12s] 25367 ab:aa=b,baaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25367 ab:aa=b,baaab=abb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25368 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:2,work:138,nodes:14,pairs:0,completionMax:4us [11m12s] 25368 ab:aa=b,baaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25368 ab:aa=b,baaab=bab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25369 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:310,nodes:14,pairs:0,completionMax:8us [11m12s] 25369 ab:aa=b,baaab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25369 ab:aa=b,baaab=bbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25370 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:61,nodes:16,pairs:0,completionMax:7us [11m12s] 25370 ab:aa=b,baabb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25370 ab:aa=b,baabb=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25371 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:80,nodes:16,pairs:0,completionMax:6us [11m12s] 25371 ab:aa=b,baabb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25371 ab:aa=b,baabb=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25372 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:79,nodes:16,pairs:0,completionMax:5us [11m12s] 25372 ab:aa=b,baabb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25372 ab:aa=b,baabb=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25373 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:131,nodes:16,pairs:0,completionMax:6us [11m12s] 25373 ab:aa=b,baabb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25373 ab:aa=b,baabb=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25374 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:78,nodes:16,pairs:0,completionMax:7us [11m12s] 25374 ab:aa=b,baabb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25374 ab:aa=b,baabb=baa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25375 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:130,nodes:16,pairs:0,completionMax:5us [11m12s] 25375 ab:aa=b,baabb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25375 ab:aa=b,baabb=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25376 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:129,nodes:16,pairs:0,completionMax:5us [11m12s] 25376 ab:aa=b,baabb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25376 ab:aa=b,baabb=bba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25377 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:214,nodes:16,pairs:0,completionMax:6us [11m12s] 25377 ab:aa=b,baabb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25377 ab:aa=b,baabb=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25378 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:60,nodes:16,pairs:0,completionMax:5us [11m12s] 25378 ab:aa=b,babab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaa=aaa,b=aa [11m12s] from: 25378 ab:aa=b,babab=aaa finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1605 ab:aaa=bb,abb=b finite:8;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a3,b=a4;saturation:a:a5=1;noncancellative:aaaaa,1,aaaaa,aaaaa;smith:5 a=a,b=aa [11m12s] # 25379 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:79,nodes:16,pairs:0,completionMax:5us [11m12s] 25379 ab:aa=b,babab=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25379 ab:aa=b,babab=aab finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25380 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:78,nodes:16,pairs:0,completionMax:7us [11m12s] 25380 ab:aa=b,babab=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25380 ab:aa=b,babab=aba finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25381 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:130,nodes:16,pairs:0,completionMax:7us [11m12s] 25381 ab:aa=b,babab=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25381 ab:aa=b,babab=abb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25382 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:129,nodes:16,pairs:0,completionMax:5us [11m12s] 25382 ab:aa=b,babab=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25382 ab:aa=b,babab=bab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25383 solved: rounds:0,rules:2,peak:2,longest:8,steps:3,word:3,work:213,nodes:16,pairs:0,completionMax:7us [11m12s] 25383 ab:aa=b,babab=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25383 ab:aa=b,babab=bbb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25384 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:73,nodes:18,pairs:0,completionMax:8us [11m12s] 25384 ab:aa=b,babbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 25384 ab:aa=b,babbb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 25385 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:94,nodes:18,pairs:0,completionMax:10us [11m12s] 25385 ab:aa=b,babbb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25385 ab:aa=b,babbb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25386 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:93,nodes:18,pairs:0,completionMax:7us [11m12s] 25386 ab:aa=b,babbb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25386 ab:aa=b,babbb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25387 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:133,nodes:18,pairs:0,completionMax:8us [11m12s] 25387 ab:aa=b,babbb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25387 ab:aa=b,babbb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25388 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:92,nodes:18,pairs:0,completionMax:7us [11m12s] 25388 ab:aa=b,babbb=baa finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25388 ab:aa=b,babbb=baa finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25389 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:132,nodes:18,pairs:0,completionMax:9us [11m12s] 25389 ab:aa=b,babbb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25389 ab:aa=b,babbb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25390 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:131,nodes:18,pairs:0,completionMax:8us [11m12s] 25390 ab:aa=b,babbb=bba finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25390 ab:aa=b,babbb=bba finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25391 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:190,nodes:18,pairs:0,completionMax:8us [11m12s] 25391 ab:aa=b,babbb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aa [11m12s] from: 25391 ab:aa=b,babbb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bb [11m12s] # 25392 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:72,nodes:18,pairs:0,completionMax:6us [11m12s] 25392 ab:aa=b,bbabb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 a/b - - ab:aaaaaaaaa=aaa,b=aa [11m12s] from: 25392 ab:aa=b,bbabb=aaa finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a3,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaa,aaa;smith:6 to: 571 ab:aaa=a,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b3,a=b3;saturation:a:a6=1;noncancellative:bbbbbb,1,bbbb,bbbb;smith:6 a=b,b=bb [11m12s] # 25393 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:93,nodes:18,pairs:0,completionMax:5us [11m12s] 25393 ab:aa=b,bbabb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25393 ab:aa=b,bbabb=aab finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25394 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:92,nodes:18,pairs:0,completionMax:7us [11m12s] 25394 ab:aa=b,bbabb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 a/b - - ab:aaaaaaaaa=aaaa,b=aa [11m12s] from: 25394 ab:aa=b,bbabb=aba finite:9;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a4,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaa,aaaa;smith:5 to: 1598 ab:aaa=ab,bbb=a finite:9;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b4,a=b3;saturation:a:a5=1;noncancellative:bbbbbb,b,bbbb,bbbbb;smith:5 a=b,b=bb [11m12s] # 25395 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:132,nodes:18,pairs:0,completionMax:6us [11m12s] 25395 ab:aa=b,bbabb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25395 ab:aa=b,bbabb=abb finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25396 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:131,nodes:18,pairs:0,completionMax:7us [11m12s] 25396 ab:aa=b,bbabb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaa=aaaaa,b=aa [11m12s] from: 25396 ab:aa=b,bbabb=bab finite:9;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a5,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 4156 ab:abb=aaa,bbb=a finite:9;idempotents:1,bbbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b5,a=b3;saturation:a:a4=1;noncancellative:bbbb,1,bbbbbbbb,bbbbbbbb;smith:4 a=b,b=bb [11m12s] # 25397 solved: rounds:0,rules:2,peak:2,longest:9,steps:4,word:4,work:189,nodes:18,pairs:0,completionMax:6us [11m12s] 25397 ab:aa=b,bbabb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaaa=aaaaaa,b=aa [11m12s] from: 25397 ab:aa=b,bbabb=bbb finite:9;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=a6,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 1584 ab:aaa=aa,bbb=a finite:9;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb;commutative:ab:b9=b6,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbbbbbb,bbbbbbbb;smith:3 a=b,b=bb [11m12s] # 25398 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:85,nodes:20,pairs:0,completionMax:6us [11m12s] 25398 ab:aa=b,bbbbb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 a/b - - ab:aaaaaaaaaa=aaa,b=aa [11m12s] from: 25398 ab:aa=b,bbbbb=aaa finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a2;saturation:a:a7=1;noncancellative:aaaaaaaa,a,aaa,aaaa;smith:7 to: 2013 ab:aaa=b,abbb=b finite:10;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a3,b=a3;saturation:a:a7=1;noncancellative:aaaaaaaaa,aa,aaaa,aaaaaa;smith:7 a=a,b=aa [11m12s] # 25399 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:108,nodes:20,pairs:0,completionMax:5us [11m12s] 25399 ab:aa=b,bbbbb=aab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 25399 ab:aa=b,bbbbb=aab finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 25400 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:107,nodes:20,pairs:0,completionMax:8us [11m12s] 25400 ab:aa=b,bbbbb=aba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 a/b - - ab:aaaaaaaaaa=aaaa,b=aa [11m12s] from: 25400 ab:aa=b,bbbbb=aba finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a2;saturation:a:a6=1;noncancellative:aaaaaa,1,aaaaaa,aaaaaa;smith:6 to: 4637 ab:aaaa=b,aabb=b finite:10;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a4,b=a4;saturation:a:a6=1;noncancellative:aa,aaaaaaaa,aaaaa,aaaaaaa;smith:6 a=a,b=aa [11m12s] # 25401 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:131,nodes:20,pairs:0,completionMax:7us [11m12s] 25401 ab:aa=b,bbbbb=abb finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaa,aaaaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aa [11m12s] from: 25401 ab:aa=b,bbbbb=abb finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaa,aaaaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bb [11m12s] # 25402 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:130,nodes:20,pairs:0,completionMax:7us [11m12s] 25402 ab:aa=b,bbbbb=bab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaa,aaaaaaa;smith:5 a/b - - ab:aaaaaaaaaa=aaaaa,b=aa [11m12s] from: 25402 ab:aa=b,bbbbb=bab finite:10;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a5,b=a2;saturation:a:a5=1;noncancellative:aaaaaa,a,aaaaaa,aaaaaaa;smith:5 to: 2894 ab:aa=a,bbbbb=a finite:10;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb;commutative:ab:b10=b5,a=b5;saturation:a:a5=1;noncancellative:bbbbb,1,bbbbbb,bbbbbb;smith:5 a=b,b=bb [11m12s] # 25403 solved: rounds:0,rules:2,peak:2,longest:10,steps:5,word:5,work:194,nodes:20,pairs:0,completionMax:7us [11m12s] 25403 ab:aa=b,bbbbb=bbb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaaaa=aaaaaa,b=aa [11m12s] from: 25403 ab:aa=b,bbbbb=bbb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 6587 ab:aaa=b,abbb=bb finite:10;idempotents:1,aaaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a10=a6,b=a3;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaaaa,aaaaaaaa;smith:4 a=a,b=aa [11m12s] # 25404 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:49,nodes:10,pairs:0,completionMax:6us [11m12s] 25404 ab:ab=a,aaaaa=aaa infinite ab - - ab:ab=a,aaaaa=aaa [11m12s] # 25405 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:31,nodes:10,pairs:0,completionMax:4us [11m12s] 25405 ab:ab=a,aaaaa=aab infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 25405 ab:ab=a,aaaaa=aab infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 25406 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:30,nodes:10,pairs:0,completionMax:3us [11m12s] 25406 ab:ab=a,aaaaa=aba infinite ab - - ab:ab=a,aaaaa=aa [11m12s] from: 25406 ab:ab=a,aaaaa=aba infinite to: 8984 ab:ab=a,aaaaa=aa infinite a=a,b=b [11m12s] # 25407 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:3us [11m12s] 25407 ab:ab=a,aaaaa=abb infinite ab - - ab:ab=a,aaaaa=a [11m12s] from: 25407 ab:ab=a,aaaaa=abb infinite to: 2936 ab:ab=a,aaaaa=a infinite a=a,b=b [11m12s] # 25408 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:97,nodes:16,pairs:1,completionMax:10us [11m12s] 25408 ab:ab=a,aaaaa=baa infinite a/b - - ab:aaaaaa=aaa,baa=aaaaa,ab=a [11m12s] # 25409 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:3,work:64,nodes:14,pairs:1,completionMax:13us [11m12s] 25409 ab:ab=a,aaaaa=bab infinite a/b - - ab:aaaaaa=aa,ba=aaaaa,ab=a [11m12s] from: 25409 ab:ab=a,aaaaa=bab infinite to: 8986 ab:ab=a,aaaaa=ba infinite a=a,b=b [11m12s] # 25410 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:2,work:65,nodes:16,pairs:1,completionMax:9us [11m12s] 25410 ab:ab=a,aaaaa=bba infinite a/b - - ab:aaaaaa=aa,ab=a,bba=aaaaa [11m12s] # 25411 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:0,work:163,nodes:24,pairs:7,completionMax:24us [11m12s] 25411 ab:ab=a,aaaaa=bbb finite:8;idempotents:1,aaaaa;center:1,a,b,aa,bb,aaa,aaaa,aaaaa;commutative:ab:ab=a,b4=b3,a5=b3;saturation:a:a5=1;noncancellative:b,1,a,a;smith:5 a/b - - ab:aaaaaa=a,ba=a,ab=a,bbb=aaaaa [11m12s] # 25412 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:61,nodes:8,pairs:0,completionMax:4us [11m12s] 25412 ab:ab=a,aaaab=aaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25412 ab:ab=a,aaaab=aaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25413 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:31,nodes:8,pairs:0,completionMax:3us [11m12s] 25413 ab:ab=a,aaaab=aab infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25413 ab:ab=a,aaaab=aab infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25414 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:4us [11m12s] 25414 ab:ab=a,aaaab=aba infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25414 ab:ab=a,aaaab=aba infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25415 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:3us [11m12s] 25415 ab:ab=a,aaaab=abb infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 25415 ab:ab=a,aaaab=abb infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 25416 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:98,nodes:14,pairs:1,completionMax:9us [11m12s] 25416 ab:ab=a,aaaab=baa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25416 ab:ab=a,aaaab=baa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25417 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:60,nodes:12,pairs:1,completionMax:7us [11m12s] 25417 ab:ab=a,aaaab=bab infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 25417 ab:ab=a,aaaab=bab infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 25418 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:61,nodes:14,pairs:1,completionMax:7us [11m12s] 25418 ab:ab=a,aaaab=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [11m12s] from: 25418 ab:ab=a,aaaab=bba infinite to: 9262 ab:ab=a,aaaa=bba infinite a=a,b=b [11m12s] # 25419 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:138,nodes:20,pairs:6,completionMax:21us [11m12s] 25419 ab:ab=a,aaaab=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bbb=aaaa [11m12s] from: 25419 ab:ab=a,aaaab=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 9263 ab:ab=a,aaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 25420 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:60,nodes:8,pairs:0,completionMax:3us [11m12s] 25420 ab:ab=a,aaaba=aaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25420 ab:ab=a,aaaba=aaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25421 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 25421 ab:ab=a,aaaba=aab infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25421 ab:ab=a,aaaba=aab infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25422 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:2us [11m12s] 25422 ab:ab=a,aaaba=aba infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25422 ab:ab=a,aaaba=aba infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25423 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 25423 ab:ab=a,aaaba=abb infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 25423 ab:ab=a,aaaba=abb infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 25424 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:97,nodes:14,pairs:1,completionMax:8us [11m12s] 25424 ab:ab=a,aaaba=baa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25424 ab:ab=a,aaaba=baa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25425 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:59,nodes:12,pairs:1,completionMax:8us [11m12s] 25425 ab:ab=a,aaaba=bab infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 25425 ab:ab=a,aaaba=bab infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 25426 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:60,nodes:14,pairs:1,completionMax:9us [11m12s] 25426 ab:ab=a,aaaba=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [11m12s] from: 25426 ab:ab=a,aaaba=bba infinite to: 9262 ab:ab=a,aaaa=bba infinite a=a,b=b [11m12s] # 25427 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:137,nodes:20,pairs:6,completionMax:20us [11m12s] 25427 ab:ab=a,aaaba=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bbb=aaaa [11m12s] from: 25427 ab:ab=a,aaaba=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 9263 ab:ab=a,aaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 25428 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 25428 ab:ab=a,aaabb=aaa infinite ab - - ab:ab=a [11m12s] from: 25428 ab:ab=a,aaabb=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25429 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:35,nodes:6,pairs:0,completionMax:6us [11m12s] 25429 ab:ab=a,aaabb=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25429 ab:ab=a,aaabb=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25430 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:6,pairs:0,completionMax:5us [11m12s] 25430 ab:ab=a,aaabb=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25430 ab:ab=a,aaabb=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25431 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:6,pairs:0,completionMax:4us [11m12s] 25431 ab:ab=a,aaabb=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25431 ab:ab=a,aaabb=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25432 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:112,nodes:12,pairs:1,completionMax:9us [11m12s] 25432 ab:ab=a,aaabb=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25432 ab:ab=a,aaabb=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25433 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:54,nodes:10,pairs:1,completionMax:6us [11m12s] 25433 ab:ab=a,aaabb=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25433 ab:ab=a,aaabb=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25434 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:12,pairs:1,completionMax:6us [11m12s] 25434 ab:ab=a,aaabb=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25434 ab:ab=a,aaabb=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25435 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:113,nodes:16,pairs:5,completionMax:14us [11m12s] 25435 ab:ab=a,aaabb=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25435 ab:ab=a,aaabb=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25436 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:59,nodes:8,pairs:0,completionMax:3us [11m12s] 25436 ab:ab=a,aabaa=aaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25436 ab:ab=a,aabaa=aaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25437 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:29,nodes:8,pairs:0,completionMax:3us [11m12s] 25437 ab:ab=a,aabaa=aab infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25437 ab:ab=a,aabaa=aab infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25438 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:4us [11m12s] 25438 ab:ab=a,aabaa=aba infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25438 ab:ab=a,aabaa=aba infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25439 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:6us [11m12s] 25439 ab:ab=a,aabaa=abb infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 25439 ab:ab=a,aabaa=abb infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 25440 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:96,nodes:14,pairs:1,completionMax:18us [11m12s] 25440 ab:ab=a,aabaa=baa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25440 ab:ab=a,aabaa=baa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25441 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:58,nodes:12,pairs:1,completionMax:14us [11m12s] 25441 ab:ab=a,aabaa=bab infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 25441 ab:ab=a,aabaa=bab infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 25442 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:59,nodes:14,pairs:1,completionMax:10us [11m12s] 25442 ab:ab=a,aabaa=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [11m12s] from: 25442 ab:ab=a,aabaa=bba infinite to: 9262 ab:ab=a,aaaa=bba infinite a=a,b=b [11m12s] # 25443 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:136,nodes:20,pairs:6,completionMax:27us [11m12s] 25443 ab:ab=a,aabaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bbb=aaaa [11m12s] from: 25443 ab:ab=a,aabaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 9263 ab:ab=a,aaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 25444 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [11m12s] 25444 ab:ab=a,aabab=aaa infinite ab - - ab:ab=a [11m12s] from: 25444 ab:ab=a,aabab=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25445 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:6,pairs:0,completionMax:3us [11m12s] 25445 ab:ab=a,aabab=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25445 ab:ab=a,aabab=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25446 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:2us [11m12s] 25446 ab:ab=a,aabab=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25446 ab:ab=a,aabab=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25447 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:6,pairs:0,completionMax:2us [11m12s] 25447 ab:ab=a,aabab=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25447 ab:ab=a,aabab=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25448 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:111,nodes:12,pairs:1,completionMax:11us [11m12s] 25448 ab:ab=a,aabab=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25448 ab:ab=a,aabab=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25449 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:53,nodes:10,pairs:1,completionMax:8us [11m12s] 25449 ab:ab=a,aabab=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25449 ab:ab=a,aabab=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25450 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:6us [11m12s] 25450 ab:ab=a,aabab=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25450 ab:ab=a,aabab=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25451 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:112,nodes:16,pairs:5,completionMax:19us [11m12s] 25451 ab:ab=a,aabab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25451 ab:ab=a,aabab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25452 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [11m12s] 25452 ab:ab=a,aabba=aaa infinite ab - - ab:ab=a [11m12s] from: 25452 ab:ab=a,aabba=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25453 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:2us [11m12s] 25453 ab:ab=a,aabba=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25453 ab:ab=a,aabba=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25454 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:4us [11m12s] 25454 ab:ab=a,aabba=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25454 ab:ab=a,aabba=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25455 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:0,completionMax:3us [11m12s] 25455 ab:ab=a,aabba=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25455 ab:ab=a,aabba=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25456 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:12,pairs:1,completionMax:9us [11m12s] 25456 ab:ab=a,aabba=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25456 ab:ab=a,aabba=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25457 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:52,nodes:10,pairs:1,completionMax:7us [11m12s] 25457 ab:ab=a,aabba=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25457 ab:ab=a,aabba=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25458 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:6us [11m12s] 25458 ab:ab=a,aabba=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25458 ab:ab=a,aabba=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25459 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:111,nodes:16,pairs:5,completionMax:23us [11m12s] 25459 ab:ab=a,aabba=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25459 ab:ab=a,aabba=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25460 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:33,nodes:6,pairs:0,completionMax:3us [11m12s] 25460 ab:ab=a,aabbb=aaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25460 ab:ab=a,aabbb=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25461 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:0us [11m12s] 25461 ab:ab=a,aabbb=aab infinite ab - - ab:ab=a [11m12s] from: 25461 ab:ab=a,aabbb=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25462 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:11,nodes:4,pairs:0,completionMax:1us [11m12s] 25462 ab:ab=a,aabbb=aba infinite ab - - ab:ab=a [11m12s] from: 25462 ab:ab=a,aabbb=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25463 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:21,nodes:4,pairs:0,completionMax:2us [11m12s] 25463 ab:ab=a,aabbb=abb infinite ab - - ab:aa=a,ab=a [11m12s] from: 25463 ab:ab=a,aabbb=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25464 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m12s] 25464 ab:ab=a,aabbb=baa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25464 ab:ab=a,aabbb=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25465 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:53,nodes:8,pairs:1,completionMax:5us [11m12s] 25465 ab:ab=a,aabbb=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25465 ab:ab=a,aabbb=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25466 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:53,nodes:10,pairs:1,completionMax:4us [11m12s] 25466 ab:ab=a,aabbb=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25466 ab:ab=a,aabbb=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25467 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:88,nodes:12,pairs:4,completionMax:16us [11m12s] 25467 ab:ab=a,aabbb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [11m12s] from: 25467 ab:ab=a,aabbb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25468 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:58,nodes:8,pairs:0,completionMax:3us [11m12s] 25468 ab:ab=a,abaaa=aaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25468 ab:ab=a,abaaa=aaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25469 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:28,nodes:8,pairs:0,completionMax:3us [11m12s] 25469 ab:ab=a,abaaa=aab infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25469 ab:ab=a,abaaa=aab infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25470 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:27,nodes:8,pairs:0,completionMax:3us [11m12s] 25470 ab:ab=a,abaaa=aba infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25470 ab:ab=a,abaaa=aba infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25471 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:3us [11m12s] 25471 ab:ab=a,abaaa=abb infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 25471 ab:ab=a,abaaa=abb infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 25472 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:95,nodes:14,pairs:1,completionMax:19us [11m12s] 25472 ab:ab=a,abaaa=baa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25472 ab:ab=a,abaaa=baa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25473 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:57,nodes:12,pairs:1,completionMax:13us [11m12s] 25473 ab:ab=a,abaaa=bab infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 25473 ab:ab=a,abaaa=bab infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 25474 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:58,nodes:14,pairs:1,completionMax:9us [11m12s] 25474 ab:ab=a,abaaa=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [11m12s] from: 25474 ab:ab=a,abaaa=bba infinite to: 9262 ab:ab=a,aaaa=bba infinite a=a,b=b [11m12s] # 25475 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:0,work:135,nodes:20,pairs:6,completionMax:22us [11m12s] 25475 ab:ab=a,abaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a/b - - ab:aaaaa=a,ba=a,ab=a,bbb=aaaa [11m12s] from: 25475 ab:ab=a,abaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 to: 9263 ab:ab=a,aaaa=bbb finite:7;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,aaaa;commutative:ab:ab=a,a4=b3,b4=b3;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 a=a,b=b [11m12s] # 25476 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [11m12s] 25476 ab:ab=a,abaab=aaa infinite ab - - ab:ab=a [11m12s] from: 25476 ab:ab=a,abaab=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25477 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:2us [11m12s] 25477 ab:ab=a,abaab=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25477 ab:ab=a,abaab=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25478 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:2us [11m12s] 25478 ab:ab=a,abaab=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25478 ab:ab=a,abaab=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25479 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:6,pairs:0,completionMax:3us [11m12s] 25479 ab:ab=a,abaab=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25479 ab:ab=a,abaab=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25480 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:12,pairs:1,completionMax:10us [11m12s] 25480 ab:ab=a,abaab=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25480 ab:ab=a,abaab=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25481 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:52,nodes:10,pairs:1,completionMax:7us [11m12s] 25481 ab:ab=a,abaab=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25481 ab:ab=a,abaab=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25482 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:8us [11m12s] 25482 ab:ab=a,abaab=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25482 ab:ab=a,abaab=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25483 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:111,nodes:16,pairs:5,completionMax:19us [11m12s] 25483 ab:ab=a,abaab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25483 ab:ab=a,abaab=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25484 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:5,nodes:4,pairs:0,completionMax:1us [11m12s] 25484 ab:ab=a,ababa=aaa infinite ab - - ab:ab=a [11m12s] from: 25484 ab:ab=a,ababa=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25485 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:3us [11m12s] 25485 ab:ab=a,ababa=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25485 ab:ab=a,ababa=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25486 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:3us [11m12s] 25486 ab:ab=a,ababa=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25486 ab:ab=a,ababa=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25487 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:6,pairs:0,completionMax:4us [11m12s] 25487 ab:ab=a,ababa=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25487 ab:ab=a,ababa=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25488 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:12,pairs:1,completionMax:10us [11m12s] 25488 ab:ab=a,ababa=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25488 ab:ab=a,ababa=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25489 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:51,nodes:10,pairs:1,completionMax:10us [11m12s] 25489 ab:ab=a,ababa=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25489 ab:ab=a,ababa=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25490 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:12,pairs:1,completionMax:12us [11m12s] 25490 ab:ab=a,ababa=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25490 ab:ab=a,ababa=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25491 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:110,nodes:16,pairs:5,completionMax:26us [11m12s] 25491 ab:ab=a,ababa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25491 ab:ab=a,ababa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25492 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:32,nodes:6,pairs:0,completionMax:3us [11m12s] 25492 ab:ab=a,ababb=aaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25492 ab:ab=a,ababb=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25493 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:11,nodes:4,pairs:0,completionMax:0us [11m12s] 25493 ab:ab=a,ababb=aab infinite ab - - ab:ab=a [11m12s] from: 25493 ab:ab=a,ababb=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25494 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:1us [11m12s] 25494 ab:ab=a,ababb=aba infinite ab - - ab:ab=a [11m12s] from: 25494 ab:ab=a,ababb=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25495 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:20,nodes:4,pairs:0,completionMax:2us [11m12s] 25495 ab:ab=a,ababb=abb infinite ab - - ab:aa=a,ab=a [11m12s] from: 25495 ab:ab=a,ababb=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25496 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25496 ab:ab=a,ababb=baa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25496 ab:ab=a,ababb=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25497 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:52,nodes:8,pairs:1,completionMax:6us [11m12s] 25497 ab:ab=a,ababb=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25497 ab:ab=a,ababb=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25498 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:52,nodes:10,pairs:1,completionMax:5us [11m12s] 25498 ab:ab=a,ababb=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25498 ab:ab=a,ababb=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25499 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:87,nodes:12,pairs:4,completionMax:15us [11m12s] 25499 ab:ab=a,ababb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [11m12s] from: 25499 ab:ab=a,ababb=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25500 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:4,nodes:4,pairs:0,completionMax:1us [11m12s] 25500 ab:ab=a,abbaa=aaa infinite ab - - ab:ab=a [11m12s] from: 25500 ab:ab=a,abbaa=aaa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25501 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:4us [11m12s] 25501 ab:ab=a,abbaa=aab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25501 ab:ab=a,abbaa=aab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25502 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:2us [11m12s] 25502 ab:ab=a,abbaa=aba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25502 ab:ab=a,abbaa=aba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25503 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m12s] 25503 ab:ab=a,abbaa=abb infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25503 ab:ab=a,abbaa=abb infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25504 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:108,nodes:12,pairs:1,completionMax:9us [11m12s] 25504 ab:ab=a,abbaa=baa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25504 ab:ab=a,abbaa=baa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25505 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:50,nodes:10,pairs:1,completionMax:6us [11m12s] 25505 ab:ab=a,abbaa=bab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25505 ab:ab=a,abbaa=bab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25506 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:12,pairs:1,completionMax:8us [11m12s] 25506 ab:ab=a,abbaa=bba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25506 ab:ab=a,abbaa=bba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25507 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:109,nodes:16,pairs:5,completionMax:19us [11m12s] 25507 ab:ab=a,abbaa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,bbb=aaa,aaaa=a [11m12s] from: 25507 ab:ab=a,abbaa=bbb finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 3193 ab:ab=a,bbb=aaa finite:6;idempotents:1,aaa;center:1,a,b,aa,bb,aaa;commutative:ab:ab=a,b3=a3,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25508 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:31,nodes:6,pairs:0,completionMax:3us [11m12s] 25508 ab:ab=a,abbab=aaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25508 ab:ab=a,abbab=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25509 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:0us [11m12s] 25509 ab:ab=a,abbab=aab infinite ab - - ab:ab=a [11m12s] from: 25509 ab:ab=a,abbab=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25510 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 25510 ab:ab=a,abbab=aba infinite ab - - ab:ab=a [11m12s] from: 25510 ab:ab=a,abbab=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25511 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:19,nodes:4,pairs:0,completionMax:1us [11m12s] 25511 ab:ab=a,abbab=abb infinite ab - - ab:aa=a,ab=a [11m12s] from: 25511 ab:ab=a,abbab=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25512 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m12s] 25512 ab:ab=a,abbab=baa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25512 ab:ab=a,abbab=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25513 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:51,nodes:8,pairs:1,completionMax:5us [11m12s] 25513 ab:ab=a,abbab=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25513 ab:ab=a,abbab=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25514 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:51,nodes:10,pairs:1,completionMax:6us [11m12s] 25514 ab:ab=a,abbab=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25514 ab:ab=a,abbab=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25515 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:86,nodes:12,pairs:4,completionMax:15us [11m12s] 25515 ab:ab=a,abbab=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [11m12s] from: 25515 ab:ab=a,abbab=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25516 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:30,nodes:6,pairs:0,completionMax:2us [11m12s] 25516 ab:ab=a,abbba=aaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25516 ab:ab=a,abbba=aaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25517 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 25517 ab:ab=a,abbba=aab infinite ab - - ab:ab=a [11m12s] from: 25517 ab:ab=a,abbba=aab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25518 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:0us [11m12s] 25518 ab:ab=a,abbba=aba infinite ab - - ab:ab=a [11m12s] from: 25518 ab:ab=a,abbba=aba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25519 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 25519 ab:ab=a,abbba=abb infinite ab - - ab:aa=a,ab=a [11m12s] from: 25519 ab:ab=a,abbba=abb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25520 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 25520 ab:ab=a,abbba=baa infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25520 ab:ab=a,abbba=baa infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25521 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:8,pairs:1,completionMax:6us [11m12s] 25521 ab:ab=a,abbba=bab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25521 ab:ab=a,abbba=bab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25522 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:50,nodes:10,pairs:1,completionMax:5us [11m12s] 25522 ab:ab=a,abbba=bba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25522 ab:ab=a,abbba=bba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25523 solved: rounds:2,rules:4,peak:5,longest:3,steps:3,word:0,work:85,nodes:12,pairs:4,completionMax:17us [11m12s] 25523 ab:ab=a,abbba=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbb=aa [11m12s] from: 25523 ab:ab=a,abbba=bbb finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 1020 ab:ab=a,bbb=aa finite:5;idempotents:1,aa;center:1,a,b,aa,bb;commutative:ab:ab=a,a3=a,b3=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25524 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m12s] 25524 ab:ab=a,abbbb=aaa infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25524 ab:ab=a,abbbb=aaa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25525 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:19,nodes:4,pairs:0,completionMax:1us [11m12s] 25525 ab:ab=a,abbbb=aab infinite ab - - ab:aa=a,ab=a [11m12s] from: 25525 ab:ab=a,abbbb=aab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25526 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 25526 ab:ab=a,abbbb=aba infinite ab - - ab:aa=a,ab=a [11m12s] from: 25526 ab:ab=a,abbbb=aba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25527 solved: rounds:0,rules:1,peak:1,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:0us [11m12s] 25527 ab:ab=a,abbbb=abb infinite ab - - ab:ab=a [11m12s] from: 25527 ab:ab=a,abbbb=abb infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25528 solved: rounds:3,rules:3,peak:4,longest:3,steps:4,word:0,work:89,nodes:10,pairs:3,completionMax:20us [11m12s] 25528 ab:ab=a,abbbb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25528 ab:ab=a,abbbb=baa infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25529 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m12s] 25529 ab:ab=a,abbbb=bab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 25529 ab:ab=a,abbbb=bab infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 25530 solved: rounds:0,rules:2,peak:2,longest:3,steps:4,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m12s] 25530 ab:ab=a,abbbb=bba infinite ab - - ab:ab=a,bba=a [11m12s] from: 25530 ab:ab=a,abbbb=bba infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [11m12s] # 25531 solved: rounds:1,rules:2,peak:2,longest:4,steps:4,word:2,work:57,nodes:8,pairs:1,completionMax:5us [11m12s] 25531 ab:ab=a,abbbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: b/a - - ab:bbbb=bbb,a=bbb [11m12s] from: 25531 ab:ab=a,abbbb=bbb finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b3;saturation::;noncancellative:b,1,bbb,bbb;smith: to: 159 ab:ab=aa,bb=a finite:4;idempotents:1,bbb;center:1,b,bb,bbb;commutative:ab:b4=b3,a=b2;saturation::;noncancellative:b,1,bbb,bbb;smith: a=bbb,b=b [11m12s] # 25532 solved: rounds:3,rules:3,peak:4,longest:5,steps:4,word:0,work:487,nodes:18,pairs:3,completionMax:27us [11m12s] 25532 ab:ab=a,baaaa=aaa infinite ab - - ab:ab=a,aaaa=aaa,baaa=aaa [11m12s] # 25533 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:311,nodes:18,pairs:5,completionMax:32us [11m12s] 25533 ab:ab=a,baaaa=aab infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 25533 ab:ab=a,baaaa=aab infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 25534 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:310,nodes:18,pairs:5,completionMax:38us [11m12s] 25534 ab:ab=a,baaaa=aba infinite ab - - ab:ab=a,baa=aa,aaaa=aa [11m12s] from: 25534 ab:ab=a,baaaa=aba infinite to: 9048 ab:ab=a,baaaa=aa infinite a=a,b=b [11m12s] # 25535 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:167,nodes:18,pairs:6,completionMax:31us [11m12s] 25535 ab:ab=a,baaaa=abb infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a [11m12s] from: 25535 ab:ab=a,baaaa=abb infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 2968 ab:ab=a,baaaa=a infinite;commutative:ab:ab=a,a4=a;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25536 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:100,nodes:18,pairs:1,completionMax:9us [11m12s] 25536 ab:ab=a,baaaa=baa infinite ab - - ab:ab=a,aaaaa=aaa,baaaa=baa [11m12s] # 25537 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:0,work:61,nodes:18,pairs:1,completionMax:10us [11m12s] 25537 ab:ab=a,baaaa=bab infinite ab - - ab:ab=a,aaaaa=aa,baaaa=ba [11m12s] from: 25537 ab:ab=a,baaaa=bab infinite to: 9050 ab:ab=a,baaaa=ba infinite a=a,b=b [11m12s] # 25538 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:62,nodes:14,pairs:1,completionMax:8us [11m12s] 25538 ab:ab=a,baaaa=bba infinite a/b - - ab:aaaaa=aa,ab=a,bba=baaaa [11m12s] # 25539 solved: rounds:2,rules:4,peak:5,longest:6,steps:2,word:2,work:196,nodes:20,pairs:6,completionMax:26us [11m12s] 25539 ab:ab=a,baaaa=bbb finite:11;idempotents:1,aaaa,baaaa a/b - - ab:aaaaa=a,ab=a,bba=ba,bbb=baaaa [11m12s] # 25540 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 25540 ab:ab=a,baaab=aaa infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25540 ab:ab=a,baaab=aaa infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25541 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:230,nodes:14,pairs:3,completionMax:23us [11m12s] 25541 ab:ab=a,baaab=aab infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25541 ab:ab=a,baaab=aab infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25542 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:229,nodes:14,pairs:3,completionMax:20us [11m12s] 25542 ab:ab=a,baaab=aba infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25542 ab:ab=a,baaab=aba infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25543 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:150,nodes:14,pairs:5,completionMax:25us [11m12s] 25543 ab:ab=a,baaab=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25543 ab:ab=a,baaab=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25544 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:119,nodes:14,pairs:1,completionMax:10us [11m12s] 25544 ab:ab=a,baaab=baa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [11m12s] from: 25544 ab:ab=a,baaab=baa infinite to: 9324 ab:ab=a,baaa=baa infinite a=a,b=b [11m12s] # 25545 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:56,nodes:14,pairs:1,completionMax:7us [11m12s] 25545 ab:ab=a,baaab=bab infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25545 ab:ab=a,baaab=bab infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25546 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:58,nodes:12,pairs:1,completionMax:5us [11m12s] 25546 ab:ab=a,baaab=bba infinite a/b - - ab:aaaa=aa,ab=a,bba=baaa [11m12s] from: 25546 ab:ab=a,baaab=bba infinite to: 9326 ab:ab=a,baaa=bba infinite a=a,b=b [11m12s] # 25547 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:1,work:167,nodes:16,pairs:5,completionMax:22us [11m12s] 25547 ab:ab=a,baaab=bbb finite:9;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bba=ba,bbb=baaa [11m12s] from: 25547 ab:ab=a,baaab=bbb finite:9;idempotents:1,aaa,baaa to: 9327 ab:ab=a,baaa=bbb finite:9;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25548 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 25548 ab:ab=a,baaba=aaa infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25548 ab:ab=a,baaba=aaa infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25549 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:229,nodes:14,pairs:3,completionMax:20us [11m12s] 25549 ab:ab=a,baaba=aab infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25549 ab:ab=a,baaba=aab infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25550 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:228,nodes:14,pairs:3,completionMax:16us [11m12s] 25550 ab:ab=a,baaba=aba infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25550 ab:ab=a,baaba=aba infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25551 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:149,nodes:14,pairs:5,completionMax:20us [11m12s] 25551 ab:ab=a,baaba=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25551 ab:ab=a,baaba=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25552 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:118,nodes:14,pairs:1,completionMax:8us [11m12s] 25552 ab:ab=a,baaba=baa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [11m12s] from: 25552 ab:ab=a,baaba=baa infinite to: 9324 ab:ab=a,baaa=baa infinite a=a,b=b [11m12s] # 25553 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:55,nodes:14,pairs:1,completionMax:8us [11m12s] 25553 ab:ab=a,baaba=bab infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25553 ab:ab=a,baaba=bab infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25554 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:57,nodes:12,pairs:1,completionMax:8us [11m12s] 25554 ab:ab=a,baaba=bba infinite a/b - - ab:aaaa=aa,ab=a,bba=baaa [11m12s] from: 25554 ab:ab=a,baaba=bba infinite to: 9326 ab:ab=a,baaa=bba infinite a=a,b=b [11m12s] # 25555 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:1,work:166,nodes:16,pairs:5,completionMax:24us [11m12s] 25555 ab:ab=a,baaba=bbb finite:9;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bba=ba,bbb=baaa [11m12s] from: 25555 ab:ab=a,baaba=bbb finite:9;idempotents:1,aaa,baaa to: 9327 ab:ab=a,baaa=bbb finite:9;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25556 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:112,nodes:12,pairs:1,completionMax:11us [11m12s] 25556 ab:ab=a,baabb=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25556 ab:ab=a,baabb=aaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25557 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:17,nodes:8,pairs:0,completionMax:4us [11m12s] 25557 ab:ab=a,baabb=aab infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25557 ab:ab=a,baabb=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25558 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:2us [11m12s] 25558 ab:ab=a,baabb=aba infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25558 ab:ab=a,baabb=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25559 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:93,nodes:10,pairs:3,completionMax:13us [11m12s] 25559 ab:ab=a,baabb=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25559 ab:ab=a,baabb=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25560 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 25560 ab:ab=a,baabb=baa infinite ab - - ab:ab=a [11m12s] from: 25560 ab:ab=a,baabb=baa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25561 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:61,nodes:10,pairs:1,completionMax:5us [11m12s] 25561 ab:ab=a,baabb=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25561 ab:ab=a,baabb=bab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25562 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:10,pairs:1,completionMax:6us [11m12s] 25562 ab:ab=a,baabb=bba infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25562 ab:ab=a,baabb=bba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25563 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:140,nodes:12,pairs:4,completionMax:14us [11m12s] 25563 ab:ab=a,baabb=bbb finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [11m12s] from: 25563 ab:ab=a,baabb=bbb finite:7;idempotents:1,aa,baa to: 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa a=a,b=b [11m12s] # 25564 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:2us [11m12s] 25564 ab:ab=a,babaa=aaa infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25564 ab:ab=a,babaa=aaa infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25565 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:228,nodes:14,pairs:3,completionMax:18us [11m12s] 25565 ab:ab=a,babaa=aab infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25565 ab:ab=a,babaa=aab infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25566 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:227,nodes:14,pairs:3,completionMax:13us [11m12s] 25566 ab:ab=a,babaa=aba infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25566 ab:ab=a,babaa=aba infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25567 solved: rounds:3,rules:3,peak:5,longest:4,steps:2,word:0,work:148,nodes:14,pairs:5,completionMax:17us [11m12s] 25567 ab:ab=a,babaa=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25567 ab:ab=a,babaa=abb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25568 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:117,nodes:14,pairs:1,completionMax:8us [11m12s] 25568 ab:ab=a,babaa=baa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [11m12s] from: 25568 ab:ab=a,babaa=baa infinite to: 9324 ab:ab=a,baaa=baa infinite a=a,b=b [11m12s] # 25569 solved: rounds:1,rules:3,peak:3,longest:4,steps:1,word:0,work:54,nodes:14,pairs:1,completionMax:9us [11m12s] 25569 ab:ab=a,babaa=bab infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25569 ab:ab=a,babaa=bab infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25570 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:56,nodes:12,pairs:1,completionMax:6us [11m12s] 25570 ab:ab=a,babaa=bba infinite a/b - - ab:aaaa=aa,ab=a,bba=baaa [11m12s] from: 25570 ab:ab=a,babaa=bba infinite to: 9326 ab:ab=a,baaa=bba infinite a=a,b=b [11m12s] # 25571 solved: rounds:2,rules:4,peak:5,longest:5,steps:2,word:1,work:165,nodes:16,pairs:5,completionMax:24us [11m12s] 25571 ab:ab=a,babaa=bbb finite:9;idempotents:1,aaa,baaa a/b - - ab:aaaa=a,ab=a,bba=ba,bbb=baaa [11m12s] from: 25571 ab:ab=a,babaa=bbb finite:9;idempotents:1,aaa,baaa to: 9327 ab:ab=a,baaa=bbb finite:9;idempotents:1,aaa,baaa a=a,b=b [11m12s] # 25572 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:111,nodes:12,pairs:1,completionMax:7us [11m12s] 25572 ab:ab=a,babab=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25572 ab:ab=a,babab=aaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25573 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:3us [11m12s] 25573 ab:ab=a,babab=aab infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25573 ab:ab=a,babab=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25574 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m12s] 25574 ab:ab=a,babab=aba infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25574 ab:ab=a,babab=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25575 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:92,nodes:10,pairs:3,completionMax:13us [11m12s] 25575 ab:ab=a,babab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25575 ab:ab=a,babab=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25576 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:7,nodes:4,pairs:0,completionMax:0us [11m12s] 25576 ab:ab=a,babab=baa infinite ab - - ab:ab=a [11m12s] from: 25576 ab:ab=a,babab=baa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25577 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:60,nodes:10,pairs:1,completionMax:5us [11m12s] 25577 ab:ab=a,babab=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25577 ab:ab=a,babab=bab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25578 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:58,nodes:10,pairs:1,completionMax:5us [11m12s] 25578 ab:ab=a,babab=bba infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25578 ab:ab=a,babab=bba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25579 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:139,nodes:12,pairs:4,completionMax:18us [11m12s] 25579 ab:ab=a,babab=bbb finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [11m12s] from: 25579 ab:ab=a,babab=bbb finite:7;idempotents:1,aa,baa to: 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa a=a,b=b [11m12s] # 25580 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:12,pairs:1,completionMax:9us [11m12s] 25580 ab:ab=a,babba=aaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25580 ab:ab=a,babba=aaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25581 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:2us [11m12s] 25581 ab:ab=a,babba=aab infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25581 ab:ab=a,babba=aab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25582 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25582 ab:ab=a,babba=aba infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25582 ab:ab=a,babba=aba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25583 solved: rounds:3,rules:3,peak:4,longest:3,steps:2,word:0,work:91,nodes:10,pairs:3,completionMax:17us [11m12s] 25583 ab:ab=a,babba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25583 ab:ab=a,babba=abb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25584 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:6,nodes:4,pairs:0,completionMax:0us [11m12s] 25584 ab:ab=a,babba=baa infinite ab - - ab:ab=a [11m12s] from: 25584 ab:ab=a,babba=baa infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25585 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:10,pairs:1,completionMax:6us [11m12s] 25585 ab:ab=a,babba=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25585 ab:ab=a,babba=bab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25586 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:57,nodes:10,pairs:1,completionMax:4us [11m12s] 25586 ab:ab=a,babba=bba infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25586 ab:ab=a,babba=bba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25587 solved: rounds:2,rules:4,peak:5,longest:4,steps:2,word:0,work:138,nodes:12,pairs:4,completionMax:13us [11m12s] 25587 ab:ab=a,babba=bbb finite:7;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbb=baa [11m12s] from: 25587 ab:ab=a,babba=bbb finite:7;idempotents:1,aa,baa to: 3197 ab:ab=a,bbb=baa finite:7;idempotents:1,aa,baa a=a,b=b [11m12s] # 25588 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:1,work:52,nodes:10,pairs:1,completionMax:6us [11m12s] 25588 ab:ab=a,babbb=aaa infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25588 ab:ab=a,babbb=aaa infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25589 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:53,nodes:8,pairs:1,completionMax:7us [11m12s] 25589 ab:ab=a,babbb=aab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25589 ab:ab=a,babbb=aab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25590 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:52,nodes:8,pairs:1,completionMax:5us [11m12s] 25590 ab:ab=a,babbb=aba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25590 ab:ab=a,babbb=aba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25591 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m12s] 25591 ab:ab=a,babbb=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 25591 ab:ab=a,babbb=abb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 25592 solved: rounds:1,rules:3,peak:3,longest:3,steps:3,word:0,work:59,nodes:10,pairs:1,completionMax:8us [11m12s] 25592 ab:ab=a,babbb=baa infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25592 ab:ab=a,babbb=baa infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25593 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:1us [11m12s] 25593 ab:ab=a,babbb=bab infinite ab - - ab:ab=a [11m12s] from: 25593 ab:ab=a,babbb=bab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25594 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:8,pairs:0,completionMax:2us [11m12s] 25594 ab:ab=a,babbb=bba infinite ab - - ab:ab=a,bba=ba [11m12s] from: 25594 ab:ab=a,babbb=bba infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [11m12s] # 25595 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:1,work:123,nodes:10,pairs:2,completionMax:8us [11m12s] 25595 ab:ab=a,babbb=bbb finite:5;idempotents:1,a,bbb b/a - - ab:bbbb=bbb,ab=a,ba=bbb,aa=a [11m12s] from: 25595 ab:ab=a,babbb=bbb finite:5;idempotents:1,a,bbb to: 1022 ab:ab=a,bbb=ba finite:5;idempotents:1,a,bbb a=a,b=b [11m12s] # 25596 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:11,nodes:12,pairs:0,completionMax:2us [11m12s] 25596 ab:ab=a,bbaaa=aaa infinite ab - - ab:ab=a,bbaaa=aaa [11m12s] # 25597 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:238,nodes:16,pairs:3,completionMax:23us [11m12s] 25597 ab:ab=a,bbaaa=aab infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [11m12s] from: 25597 ab:ab=a,bbaaa=aab infinite to: 9080 ab:ab=a,bbaaa=aa infinite a=a,b=b [11m12s] # 25598 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:237,nodes:16,pairs:3,completionMax:25us [11m12s] 25598 ab:ab=a,bbaaa=aba infinite ab - - ab:ab=a,aaa=aa,bbaa=aa [11m12s] from: 25598 ab:ab=a,bbaaa=aba infinite to: 9080 ab:ab=a,bbaaa=aa infinite a=a,b=b [11m12s] # 25599 solved: rounds:3,rules:3,peak:5,longest:5,steps:2,word:0,work:163,nodes:16,pairs:5,completionMax:20us [11m12s] 25599 ab:ab=a,bbaaa=abb infinite ab - - ab:ab=a,aaa=a,bba=a [11m12s] from: 25599 ab:ab=a,bbaaa=abb infinite to: 2984 ab:ab=a,bbaaa=a infinite a=a,b=b [11m12s] # 25600 solved: rounds:3,rules:4,peak:4,longest:5,steps:3,word:0,work:226,nodes:20,pairs:3,completionMax:15us [11m12s] 25600 ab:ab=a,bbaaa=baa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa,bbaa=baa [11m12s] # 25601 solved: rounds:3,rules:4,peak:5,longest:5,steps:2,word:0,work:153,nodes:20,pairs:5,completionMax:17us [11m12s] 25601 ab:ab=a,bbaaa=bab infinite ab - - ab:ab=a,bba=ba,aaaa=aa,baaa=ba [11m12s] from: 25601 ab:ab=a,bbaaa=bab infinite to: 9082 ab:ab=a,bbaaa=ba infinite a=a,b=b [11m12s] # 25602 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:58,nodes:16,pairs:1,completionMax:5us [11m12s] 25602 ab:ab=a,bbaaa=bba infinite ab - - ab:ab=a,aaaa=aa,bbaaa=bba [11m12s] # 25603 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:64,nodes:12,pairs:3,completionMax:7us [11m12s] 25603 ab:ab=a,bbaaa=bbb finite:12;idempotents:1,aaa,baaa,bbaaa a/b - - ab:aaaa=a,ab=a,bbb=bbaaa [11m12s] # 25604 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:111,nodes:14,pairs:1,completionMax:6us [11m12s] 25604 ab:ab=a,bbaab=aaa infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [11m12s] from: 25604 ab:ab=a,bbaab=aaa infinite to: 9352 ab:ab=a,bbaa=aaa infinite a=a,b=b [11m12s] # 25605 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 25605 ab:ab=a,bbaab=aab infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25605 ab:ab=a,bbaab=aab infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25606 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m12s] 25606 ab:ab=a,bbaab=aba infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25606 ab:ab=a,bbaab=aba infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25607 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:100,nodes:12,pairs:3,completionMax:15us [11m12s] 25607 ab:ab=a,bbaab=abb infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25607 ab:ab=a,bbaab=abb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25608 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:1us [11m12s] 25608 ab:ab=a,bbaab=baa infinite ab - - ab:ab=a,bbaa=baa [11m12s] from: 25608 ab:ab=a,bbaab=baa infinite to: 9356 ab:ab=a,bbaa=baa infinite a=a,b=b [11m12s] # 25609 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:112,nodes:14,pairs:3,completionMax:24us [11m12s] 25609 ab:ab=a,bbaab=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25609 ab:ab=a,bbaab=bab infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25610 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:67,nodes:12,pairs:1,completionMax:6us [11m12s] 25610 ab:ab=a,bbaab=bba infinite ab - - ab:ab=a,aaa=aa,bbaa=bba [11m12s] from: 25610 ab:ab=a,bbaab=bba infinite to: 9358 ab:ab=a,bbaa=bba infinite a=a,b=b [11m12s] # 25611 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:60,nodes:10,pairs:3,completionMax:7us [11m12s] 25611 ab:ab=a,bbaab=bbb finite:9;idempotents:1,aa,baa,bbaa a/b - - ab:aaa=a,ab=a,bbb=bbaa [11m12s] from: 25611 ab:ab=a,bbaab=bbb finite:9;idempotents:1,aa,baa,bbaa to: 9359 ab:ab=a,bbaa=bbb finite:9;idempotents:1,aa,baa,bbaa a=a,b=b [11m12s] # 25612 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:14,pairs:1,completionMax:10us [11m12s] 25612 ab:ab=a,bbaba=aaa infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [11m12s] from: 25612 ab:ab=a,bbaba=aaa infinite to: 9352 ab:ab=a,bbaa=aaa infinite a=a,b=b [11m12s] # 25613 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [11m12s] 25613 ab:ab=a,bbaba=aab infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25613 ab:ab=a,bbaba=aab infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25614 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 25614 ab:ab=a,bbaba=aba infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25614 ab:ab=a,bbaba=aba infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25615 solved: rounds:3,rules:3,peak:4,longest:4,steps:2,word:0,work:99,nodes:12,pairs:3,completionMax:17us [11m12s] 25615 ab:ab=a,bbaba=abb infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25615 ab:ab=a,bbaba=abb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25616 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [11m12s] 25616 ab:ab=a,bbaba=baa infinite ab - - ab:ab=a,bbaa=baa [11m12s] from: 25616 ab:ab=a,bbaba=baa infinite to: 9356 ab:ab=a,bbaa=baa infinite a=a,b=b [11m12s] # 25617 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:111,nodes:14,pairs:3,completionMax:14us [11m12s] 25617 ab:ab=a,bbaba=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25617 ab:ab=a,bbaba=bab infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25618 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:66,nodes:12,pairs:1,completionMax:11us [11m12s] 25618 ab:ab=a,bbaba=bba infinite ab - - ab:ab=a,aaa=aa,bbaa=bba [11m12s] from: 25618 ab:ab=a,bbaba=bba infinite to: 9358 ab:ab=a,bbaa=bba infinite a=a,b=b [11m12s] # 25619 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:59,nodes:10,pairs:3,completionMax:8us [11m12s] 25619 ab:ab=a,bbaba=bbb finite:9;idempotents:1,aa,baa,bbaa a/b - - ab:aaa=a,ab=a,bbb=bbaa [11m12s] from: 25619 ab:ab=a,bbaba=bbb finite:9;idempotents:1,aa,baa,bbaa to: 9359 ab:ab=a,bbaa=bbb finite:9;idempotents:1,aa,baa,bbaa a=a,b=b [11m12s] # 25620 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:12,pairs:1,completionMax:7us [11m12s] 25620 ab:ab=a,bbabb=aaa infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25620 ab:ab=a,bbabb=aaa infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25621 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:55,nodes:10,pairs:1,completionMax:5us [11m12s] 25621 ab:ab=a,bbabb=aab infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25621 ab:ab=a,bbabb=aab infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25622 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:1,completionMax:5us [11m12s] 25622 ab:ab=a,bbabb=aba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25622 ab:ab=a,bbabb=aba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25623 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:2us [11m12s] 25623 ab:ab=a,bbabb=abb infinite ab - - ab:ab=a,bba=a [11m12s] from: 25623 ab:ab=a,bbabb=abb infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [11m12s] # 25624 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:10,pairs:1,completionMax:7us [11m12s] 25624 ab:ab=a,bbabb=baa infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25624 ab:ab=a,bbabb=baa infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25625 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:21,nodes:8,pairs:0,completionMax:2us [11m12s] 25625 ab:ab=a,bbabb=bab infinite ab - - ab:ab=a,bba=ba [11m12s] from: 25625 ab:ab=a,bbabb=bab infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [11m12s] # 25626 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:0us [11m12s] 25626 ab:ab=a,bbabb=bba infinite ab - - ab:ab=a [11m12s] from: 25626 ab:ab=a,bbabb=bba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25627 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:57,nodes:8,pairs:3,completionMax:8us [11m12s] 25627 ab:ab=a,bbabb=bbb finite:6;idempotents:1,a,ba,bba ab - - ab:aa=a,ab=a,bbb=bba [11m12s] from: 25627 ab:ab=a,bbabb=bbb finite:6;idempotents:1,a,ba,bba to: 3199 ab:ab=a,bbb=bba finite:6;idempotents:1,a,ba,bba a=a,b=b [11m12s] # 25628 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:111,nodes:16,pairs:1,completionMax:11us [11m12s] 25628 ab:ab=a,bbbaa=aaa infinite ab - - ab:ab=a,aaaa=aaa,bbbaa=aaa [11m12s] # 25629 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:12,pairs:0,completionMax:3us [11m12s] 25629 ab:ab=a,bbbaa=aab infinite ab - - ab:ab=a,bbbaa=aa [11m12s] from: 25629 ab:ab=a,bbbaa=aab infinite to: 9096 ab:ab=a,bbbaa=aa infinite a=a,b=b [11m12s] # 25630 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:14,nodes:12,pairs:0,completionMax:1us [11m12s] 25630 ab:ab=a,bbbaa=aba infinite ab - - ab:ab=a,bbbaa=aa [11m12s] from: 25630 ab:ab=a,bbbaa=aba infinite to: 9096 ab:ab=a,bbbaa=aa infinite a=a,b=b [11m12s] # 25631 solved: rounds:3,rules:3,peak:4,longest:5,steps:3,word:0,work:105,nodes:14,pairs:3,completionMax:14us [11m12s] 25631 ab:ab=a,bbbaa=abb infinite ab - - ab:aa=a,ab=a,bbba=a [11m12s] from: 25631 ab:ab=a,bbbaa=abb infinite to: 2992 ab:ab=a,bbbaa=a infinite a=a,b=b [11m12s] # 25632 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:15,nodes:12,pairs:0,completionMax:2us [11m12s] 25632 ab:ab=a,bbbaa=baa infinite ab - - ab:ab=a,bbbaa=baa [11m12s] # 25633 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:117,nodes:16,pairs:3,completionMax:14us [11m12s] 25633 ab:ab=a,bbbaa=bab infinite ab - - ab:ab=a,aaa=aa,baa=ba,bbba=ba [11m12s] from: 25633 ab:ab=a,bbbaa=bab infinite to: 9098 ab:ab=a,bbbaa=ba infinite a=a,b=b [11m12s] # 25634 solved: rounds:3,rules:4,peak:4,longest:5,steps:2,word:0,work:137,nodes:16,pairs:3,completionMax:12us [11m12s] 25634 ab:ab=a,bbbaa=bba infinite ab - - ab:ab=a,aaa=aa,bbaa=bba,bbba=bba [11m12s] # 25635 solved: rounds:1,rules:4,peak:4,longest:5,steps:3,word:0,work:147,nodes:14,pairs:2,completionMax:10us [11m12s] 25635 ab:ab=a,bbbaa=bbb finite:11;idempotents:1,aa,baa,bbb,bbaa ab - - ab:ab=a,aaa=a,bbbb=bbb,bbbaa=bbb [11m12s] # 25636 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:14,pairs:1,completionMax:10us [11m12s] 25636 ab:ab=a,bbbab=aaa infinite ab - - ab:ab=a,aaaa=aa,bbba=aaa [11m12s] from: 25636 ab:ab=a,bbbab=aaa infinite to: 9368 ab:ab=a,bbba=aaa infinite a=a,b=b [11m12s] # 25637 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:12,pairs:1,completionMax:7us [11m12s] 25637 ab:ab=a,bbbab=aab infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25637 ab:ab=a,bbbab=aab infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25638 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:7us [11m12s] 25638 ab:ab=a,bbbab=aba infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25638 ab:ab=a,bbbab=aba infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25639 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:3us [11m12s] 25639 ab:ab=a,bbbab=abb infinite ab - - ab:ab=a,bbba=a [11m12s] from: 25639 ab:ab=a,bbbab=abb infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [11m12s] # 25640 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:59,nodes:12,pairs:1,completionMax:7us [11m12s] 25640 ab:ab=a,bbbab=baa infinite ab - - ab:ab=a,aaa=aa,bbba=baa [11m12s] from: 25640 ab:ab=a,bbbab=baa infinite to: 9372 ab:ab=a,bbba=baa infinite a=a,b=b [11m12s] # 25641 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:2us [11m12s] 25641 ab:ab=a,bbbab=bab infinite ab - - ab:ab=a,bbba=ba [11m12s] from: 25641 ab:ab=a,bbbab=bab infinite to: 3130 ab:ab=a,bbba=ba infinite a=a,b=b [11m12s] # 25642 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:21,nodes:10,pairs:0,completionMax:1us [11m12s] 25642 ab:ab=a,bbbab=bba infinite ab - - ab:ab=a,bbba=bba [11m12s] from: 25642 ab:ab=a,bbbab=bba infinite to: 9374 ab:ab=a,bbba=bba infinite a=a,b=b [11m12s] # 25643 solved: rounds:1,rules:4,peak:4,longest:4,steps:3,word:0,work:143,nodes:10,pairs:2,completionMax:9us [11m12s] 25643 ab:ab=a,bbbab=bbb finite:7;idempotents:1,a,ba,bba,bbb ab - - ab:aa=a,ab=a,bbba=bbb,bbbb=bbb [11m12s] from: 25643 ab:ab=a,bbbab=bbb finite:7;idempotents:1,a,ba,bba,bbb to: 9375 ab:ab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb a=a,b=b [11m12s] # 25644 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:55,nodes:16,pairs:1,completionMax:8us [11m12s] 25644 ab:ab=a,bbbba=aaa infinite ab - - ab:ab=a,aaaa=aa,bbbba=aaa [11m12s] # 25645 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:55,nodes:14,pairs:1,completionMax:5us [11m12s] 25645 ab:ab=a,bbbba=aab infinite ab - - ab:ab=a,aaa=aa,bbbba=aa [11m12s] from: 25645 ab:ab=a,bbbba=aab infinite to: 9104 ab:ab=a,bbbba=aa infinite a=a,b=b [11m12s] # 25646 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:54,nodes:14,pairs:1,completionMax:10us [11m12s] 25646 ab:ab=a,bbbba=aba infinite ab - - ab:ab=a,aaa=aa,bbbba=aa [11m12s] from: 25646 ab:ab=a,bbbba=aba infinite to: 9104 ab:ab=a,bbbba=aa infinite a=a,b=b [11m12s] # 25647 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:17,nodes:12,pairs:0,completionMax:2us [11m12s] 25647 ab:ab=a,bbbba=abb infinite ab - - ab:ab=a,bbbba=a [11m12s] from: 25647 ab:ab=a,bbbba=abb infinite to: 2996 ab:ab=a,bbbba=a infinite a=a,b=b [11m12s] # 25648 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:58,nodes:14,pairs:1,completionMax:12us [11m12s] 25648 ab:ab=a,bbbba=baa infinite ab - - ab:ab=a,aaa=aa,bbbba=baa [11m12s] # 25649 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:12,pairs:0,completionMax:3us [11m12s] 25649 ab:ab=a,bbbba=bab infinite ab - - ab:ab=a,bbbba=ba [11m12s] from: 25649 ab:ab=a,bbbba=bab infinite to: 9106 ab:ab=a,bbbba=ba infinite a=a,b=b [11m12s] # 25650 solved: rounds:0,rules:2,peak:2,longest:5,steps:3,word:0,work:19,nodes:12,pairs:0,completionMax:2us [11m12s] 25650 ab:ab=a,bbbba=bba infinite ab - - ab:ab=a,bbbba=bba [11m12s] # 25651 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:225,nodes:12,pairs:6,completionMax:22us [11m12s] 25651 ab:ab=a,bbbba=bbb finite:7;idempotents:1,a,ba,bba,bbb ab - - ab:aa=a,ab=a,bbba=bbb,bbbb=bbb [11m12s] from: 25651 ab:ab=a,bbbba=bbb finite:7;idempotents:1,a,ba,bba,bbb to: 9375 ab:ab=a,bbba=bbb finite:7;idempotents:1,a,ba,bba,bbb a=a,b=b [11m12s] # 25652 solved: rounds:2,rules:4,peak:5,longest:5,steps:4,word:0,work:196,nodes:20,pairs:7,completionMax:20us [11m12s] 25652 ab:ab=a,bbbbb=aaa finite:8;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb,bbbb;commutative:ab:ab=a,a4=a,b5=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a,bbbbb=aaa [11m12s] # 25653 solved: rounds:2,rules:4,peak:5,longest:5,steps:4,word:0,work:157,nodes:16,pairs:6,completionMax:21us [11m12s] 25653 ab:ab=a,bbbbb=aab finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbbb=aa [11m12s] from: 25653 ab:ab=a,bbbbb=aab finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 9108 ab:ab=a,bbbbb=aa finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25654 solved: rounds:2,rules:4,peak:5,longest:5,steps:4,word:0,work:156,nodes:16,pairs:6,completionMax:18us [11m12s] 25654 ab:ab=a,bbbbb=aba finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbbb=aa [11m12s] from: 25654 ab:ab=a,bbbbb=aba finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 9108 ab:ab=a,bbbbb=aa finite:7;idempotents:1,aa;center:1,a,b,aa,bb,bbb,bbbb;commutative:ab:ab=a,a3=a,b5=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25655 solved: rounds:1,rules:2,peak:2,longest:6,steps:5,word:4,work:185,nodes:12,pairs:1,completionMax:8us [11m12s] 25655 ab:ab=a,bbbbb=abb finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: b/a - - ab:bbbbbb=bbbbb,a=bbbbb [11m12s] from: 25655 ab:ab=a,bbbbb=abb finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b5;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=bbbbb,b=b [11m12s] # 25656 solved: rounds:2,rules:4,peak:5,longest:5,steps:4,word:0,work:210,nodes:16,pairs:6,completionMax:26us [11m12s] 25656 ab:ab=a,bbbbb=baa finite:9;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbbbb=baa [11m12s] # 25657 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:3,work:315,nodes:14,pairs:2,completionMax:13us [11m12s] 25657 ab:ab=a,bbbbb=bab finite:7;idempotents:1,a,bbbbb b/a - - ab:bbbbbb=bbbbb,ab=a,ba=bbbbb,aa=a [11m12s] from: 25657 ab:ab=a,bbbbb=bab finite:7;idempotents:1,a,bbbbb to: 9110 ab:ab=a,bbbbb=ba finite:7;idempotents:1,a,bbbbb a=a,b=b [11m12s] # 25658 solved: rounds:1,rules:4,peak:4,longest:6,steps:5,word:2,work:358,nodes:14,pairs:2,completionMax:12us [11m12s] 25658 ab:ab=a,bbbbb=bba finite:8;idempotents:1,a,ba,bbbbb b/a - - ab:bbbbbb=bbbbb,ab=a,bba=bbbbb,aa=a [11m12s] # 25659 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:54,nodes:12,pairs:0,completionMax:5us [11m12s] 25659 ab:ab=a,bbbbb=bbb infinite ab - - ab:ab=a,bbbbb=bbb [11m12s] # 25660 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 25660 ab:aa=a,aaab=aaaa infinite ab - - ab:aa=a,ab=a [11m12s] from: 25660 ab:aa=a,aaab=aaaa infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25661 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:6,pairs:0,completionMax:2us [11m12s] 25661 ab:aa=a,aaba=aaaa infinite ab - - ab:aa=a,aba=a [11m12s] from: 25661 ab:aa=a,aaba=aaaa infinite to: 239 ab:aa=a,aba=a infinite a=a,b=b [11m12s] # 25662 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:61,nodes:9,pairs:5,completionMax:11us [11m12s] 25662 ab:aa=a,aaba=aaab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 25662 ab:aa=a,aaba=aaab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 25663 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:6,pairs:0,completionMax:2us [11m12s] 25663 ab:aa=a,aabb=aaaa infinite ab - - ab:aa=a,abb=a [11m12s] from: 25663 ab:aa=a,aabb=aaaa infinite to: 241 ab:aa=a,abb=a infinite a=a,b=b [11m12s] # 25664 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m12s] 25664 ab:aa=a,aabb=aaab infinite ab - - ab:aa=a,abb=ab [11m12s] from: 25664 ab:aa=a,aabb=aaab infinite to: 963 ab:aa=a,abb=ab infinite a=a,b=b [11m12s] # 25665 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:6,pairs:0,completionMax:2us [11m12s] 25665 ab:aa=a,aabb=aaba infinite ab - - ab:aa=a,abb=aba [11m12s] from: 25665 ab:aa=a,aabb=aaba infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [11m12s] # 25666 solved: rounds:1,rules:5,peak:5,longest:3,steps:2,word:0,work:63,nodes:9,pairs:5,completionMax:13us [11m12s] 25666 ab:aa=a,abaa=aaab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,ca=c,cb=cc [11m12s] from: 25666 ab:aa=a,abaa=aaab infinite to: 960 ab:aa=a,aba=ab infinite a=a,b=b,c=c [11m12s] # 25667 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:10,nodes:4,pairs:0,completionMax:1us [11m12s] 25667 ab:aa=a,abaa=aaba infinite ab - - ab:aa=a [11m12s] from: 25667 ab:aa=a,abaa=aaba infinite to: 235 ab:aa=a,aaa=a infinite a=a,b=1 [11m12s] # 25668 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:15,nodes:6,pairs:0,completionMax:2us [11m12s] 25668 ab:aa=a,abaa=aabb infinite ab - - ab:aa=a,abb=aba [11m12s] from: 25668 ab:aa=a,abaa=aabb infinite to: 3141 ab:aa=a,abb=aba infinite a=a,b=b [11m12s] # 25669 solved: rounds:2,rules:3,peak:3,longest:4,steps:3,word:0,work:67,nodes:8,pairs:5,completionMax:17us [11m12s] 25669 ab:aa=a,abab=aaaa infinite ab - - ab:aa=a,aba=ab,abb=a [11m12s] from: 25669 ab:aa=a,abab=aaaa infinite to: 888 ab:aa=a,abab=a infinite a=a,b=b [11m12s] # 25670 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 25670 ab:aa=a,abab=aaab infinite ab - - ab:aa=a,abab=ab [11m12s] from: 25670 ab:aa=a,abab=aaab infinite to: 3016 ab:aa=a,abab=ab infinite a=a,b=b [11m12s] # 25671 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:2us [11m12s] 25671 ab:aa=a,abab=aaba infinite ab - - ab:aa=a,abab=aba [11m12s] from: 25671 ab:aa=a,abab=aaba infinite to: 9144 ab:aa=a,abab=aba infinite a=a,b=b [11m12s] # 25672 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:55,nodes:12,pairs:5,completionMax:11us [11m12s] 25672 ab:aa=a,abab=aabb infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,cb=cc [11m12s] from: 25672 ab:aa=a,abab=aabb infinite to: 9145 ab:aa=a,abab=abb infinite a=a,b=b,c=c [11m12s] # 25673 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:30,nodes:8,pairs:0,completionMax:4us [11m12s] 25673 ab:aa=a,abab=abaa infinite ab - - ab:aa=a,abab=aba [11m12s] from: 25673 ab:aa=a,abab=abaa infinite to: 9144 ab:aa=a,abab=aba infinite a=a,b=b [11m12s] # 25674 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:30,nodes:8,pairs:0,completionMax:3us [11m12s] 25674 ab:aa=a,abba=aaaa infinite ab - - ab:aa=a,abba=a [11m12s] from: 25674 ab:aa=a,abba=aaaa infinite to: 890 ab:aa=a,abba=a infinite a=a,b=b [11m12s] # 25675 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:254,nodes:10,pairs:10,completionMax:34us [11m12s] 25675 ab:aa=a,abba=aaab infinite ab - - ab:aa=a,aba=ab,abb=ab [11m12s] from: 25675 ab:aa=a,abba=aaab infinite to: 3020 ab:aa=a,abba=ab infinite a=a,b=b [11m12s] # 25676 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:30,nodes:8,pairs:0,completionMax:4us [11m12s] 25676 ab:aa=a,abba=aaba infinite ab - - ab:aa=a,abba=aba [11m12s] from: 25676 ab:aa=a,abba=aaba infinite to: 9152 ab:aa=a,abba=aba infinite a=a,b=b [11m12s] # 25677 solved: rounds:1,rules:5,peak:5,longest:4,steps:2,word:0,work:68,nodes:12,pairs:5,completionMax:16us [11m12s] 25677 ab:aa=a,abba=aabb infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cba=cb,cbb=cbc [11m12s] from: 25677 ab:aa=a,abba=aabb infinite to: 9153 ab:aa=a,abba=abb infinite a=a,b=b,c=c [11m12s] # 25678 solved: rounds:2,rules:7,peak:8,longest:5,steps:3,word:0,work:319,nodes:21,pairs:14,completionMax:43us [11m12s] 25678 ab:aa=a,abba=abab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cca=cc,ccb=ccc,cba=cc,cbc=ccc [11m12s] # 25679 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:8,pairs:0,completionMax:4us [11m12s] 25679 ab:aa=a,abbb=aaaa infinite ab - - ab:aa=a,abbb=a [11m12s] from: 25679 ab:aa=a,abbb=aaaa infinite to: 892 ab:aa=a,abbb=a infinite a=a,b=b [11m12s] # 25680 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:3us [11m12s] 25680 ab:aa=a,abbb=aaab infinite ab - - ab:aa=a,abbb=ab [11m12s] from: 25680 ab:aa=a,abbb=aaab infinite to: 3023 ab:aa=a,abbb=ab infinite a=a,b=b [11m12s] # 25681 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 25681 ab:aa=a,abbb=aaba infinite ab - - ab:aa=a,abbb=aba [11m12s] from: 25681 ab:aa=a,abbb=aaba infinite to: 9158 ab:aa=a,abbb=aba infinite a=a,b=b [11m12s] # 25682 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 25682 ab:aa=a,abbb=aabb infinite ab - - ab:aa=a,abbb=abb [11m12s] from: 25682 ab:aa=a,abbb=aabb infinite to: 9159 ab:aa=a,abbb=abb infinite a=a,b=b [11m12s] # 25683 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25683 ab:aa=a,abbb=abaa infinite ab - - ab:aa=a,abbb=aba [11m12s] from: 25683 ab:aa=a,abbb=abaa infinite to: 9158 ab:aa=a,abbb=aba infinite a=a,b=b [11m12s] # 25684 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:2us [11m12s] 25684 ab:aa=a,abbb=abab infinite ab - - ab:aa=a,abbb=abab [11m12s] # 25685 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:8,pairs:0,completionMax:2us [11m12s] 25685 ab:aa=a,abbb=abba infinite ab - - ab:aa=a,abbb=abba [11m12s] # 25686 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:21,nodes:6,pairs:0,completionMax:3us [11m12s] 25686 ab:aa=a,baaa=aaab infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 ab - - ab:aa=a,ba=ab [11m12s] from: 25686 ab:aa=a,baaa=aaab infinite;commutative:ab:a2=a;saturation:a:;noncancellative:a,1,ab,ab;smith:0 to: 162 ab:ba=ab,bb=b infinite;commutative:ab:b2=b;saturation:a:;noncancellative:b,1,ab,ab;smith:0 a=b,b=a [11m12s] # 25687 solved: rounds:1,rules:3,peak:3,longest:5,steps:7,word:2,work:95,nodes:12,pairs:1,completionMax:9us [11m12s] 25687 ab:aa=a,baaa=aabb infinite b/a - - ab:abbbb=abb,ba=abb,aa=a [11m12s] from: 25687 ab:aa=a,baaa=aabb infinite to: 964 ab:aa=a,abb=ba infinite a=a,b=b [11m12s] # 25688 solved: rounds:2,rules:4,peak:5,longest:4,steps:4,word:0,work:301,nodes:14,pairs:12,completionMax:34us [11m12s] 25688 ab:aa=a,baaa=abab infinite ab - - ab:aa=a,aba=ba,bab=ba,bba=ba [11m12s] from: 25688 ab:aa=a,baaa=abab infinite to: 3017 ab:aa=a,abab=ba infinite a=a,b=b [11m12s] # 25689 solved: rounds:1,rules:3,peak:3,longest:10,steps:13,word:6,work:183,nodes:22,pairs:1,completionMax:10us [11m12s] 25689 ab:aa=a,baaa=abbb infinite b/a - - ab:abbbbbbbbb=abbb,ba=abbb,aa=a [11m12s] from: 25689 ab:aa=a,baaa=abbb infinite to: 3024 ab:aa=a,abbb=ba infinite a=a,b=b [11m12s] # 25690 solved: rounds:2,rules:3,peak:3,longest:3,steps:3,word:0,work:57,nodes:8,pairs:3,completionMax:10us [11m12s] 25690 ab:aa=a,baab=aaaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 ab - - ab:aa=a,ba=ab,abb=a [11m12s] from: 25690 ab:aa=a,baab=aaaa infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 to: 243 ab:aa=a,bab=a infinite;commutative:ab:a2=a,ab2=a;saturation:a:a2=1;noncancellative:a,1,ab,ab;smith:2 a=a,b=b [11m12s] # 25691 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 25691 ab:aa=a,baab=aaab infinite ab - - ab:aa=a,bab=ab [11m12s] from: 25691 ab:aa=a,baab=aaab infinite to: 967 ab:aa=a,bab=ab infinite a=a,b=b [11m12s] # 25692 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:30,nodes:8,pairs:0,completionMax:2us [11m12s] 25692 ab:aa=a,baab=aaba infinite ab - - ab:aa=a,bab=aba [11m12s] from: 25692 ab:aa=a,baab=aaba infinite to: 3146 ab:aa=a,bab=aba infinite a=a,b=b [11m12s] # 25693 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:28,nodes:8,pairs:0,completionMax:2us [11m12s] 25693 ab:aa=a,baab=aabb infinite ab - - ab:aa=a,bab=abb [11m12s] from: 25693 ab:aa=a,baab=aabb infinite to: 3147 ab:aa=a,bab=abb infinite a=a,b=b [11m12s] # 25694 solved: rounds:1,rules:4,peak:4,longest:4,steps:2,word:0,work:57,nodes:12,pairs:4,completionMax:12us [11m12s] 25694 ab:aa=a,baab=abab infinite acb ab=c frequency:2/0 abc:aa=a,ac=c,ab=c,bc=cc [11m12s] from: 25694 ab:aa=a,baab=abab infinite to: 9147 ab:aa=a,abab=bab infinite a=a,b=b,c=c [11m12s] # 25695 solved: rounds:1,rules:7,peak:7,longest:4,steps:3,word:0,work:157,nodes:21,pairs:6,completionMax:18us [11m12s] 25695 ab:aa=a,baab=abba infinite acb ba=c frequency:2/0 abc:aa=a,ca=c,cb=cc,ba=c,acc=cc,abc=cc,bcc=ccc [11m12s] from: 25695 ab:aa=a,baab=abba infinite to: 9154 ab:aa=a,abba=bab infinite a=a,b=b,c=c [11m12s] # 25696 solved: rounds:1,rules:3,peak:3,longest:8,steps:12,word:3,work:223,nodes:20,pairs:1,completionMax:9us [11m12s] 25696 ab:aa=a,baab=abbb infinite b/a - - ab:abbbbbbb=abbbbb,bab=abbb,aa=a [11m12s] from: 25696 ab:aa=a,baab=abbb infinite to: 9161 ab:aa=a,abbb=bab infinite a=a,b=b [11m12s] # 25697 solved: rounds:1,rules:3,peak:3,longest:5,steps:6,word:2,work:157,nodes:10,pairs:1,completionMax:10us [11m12s] 25697 ab:aa=a,baba=aabb infinite a/b - - ab:aa=a,abb=baba,ababa=baba [11m12s] from: 25697 ab:aa=a,baba=aabb infinite to: 9148 ab:aa=a,abab=bba infinite anti:a=a,b=b [11m12s] # 25698 solved: rounds:2,rules:7,peak:8,longest:4,steps:3,word:0,work:245,nodes:21,pairs:13,completionMax:38us [11m12s] 25698 ab:aa=a,baba=abab infinite acb ab=c frequency:2/1 abc:aa=a,ac=c,ab=c,cca=cc,ccb=ccc,bca=cc,bcc=ccc [11m12s] # 25699 solved: rounds:2,rules:5,peak:5,longest:6,steps:5,word:0,work:752,nodes:26,pairs:4,completionMax:32us [11m12s] 25699 ab:aa=a,baba=abbb infinite ba - - ab:aa=a,abbb=baba,ababa=baba,bbbaba=bbaba,abbaba=bbaba [11m12s] # 25700 solved: rounds:2,rules:3,peak:6,longest:9,steps:11,word:9,work:775,nodes:24,pairs:5,completionMax:39us [11m12s] 25700 ab:aa=a,babb=aaaa infinite b/a - - ab:abbbbbb=a,ba=abbbb,aa=a [11m12s] from: 25700 ab:aa=a,babb=aaaa infinite to: 896 ab:aa=a,babb=a infinite a=a,b=b [11m12s] # 25701 solved: rounds:3,rules:3,peak:4,longest:5,steps:7,word:0,work:296,nodes:12,pairs:10,completionMax:27us [11m12s] 25701 ab:aa=a,babb=aaab infinite ab - - ab:aa=a,bab=abb,abbb=ab [11m12s] from: 25701 ab:aa=a,babb=aaab infinite to: 3030 ab:aa=a,babb=ab infinite a=a,b=b [11m12s] # 25702 solved: rounds:3,rules:4,peak:4,longest:6,steps:4,word:0,work:355,nodes:22,pairs:4,completionMax:30us [11m12s] 25702 ab:aa=a,babb=aaba infinite ab - - ab:aa=a,babb=aba,ababa=baba,bbaba=aba [11m12s] from: 25702 ab:aa=a,babb=aaba infinite to: 9172 ab:aa=a,babb=aba infinite a=a,b=b [11m12s] # 25703 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 25703 ab:aa=a,babb=aabb infinite ab - - ab:aa=a,babb=abb [11m12s] from: 25703 ab:aa=a,babb=aabb infinite to: 9173 ab:aa=a,babb=abb infinite a=a,b=b [11m12s] # 25704 solved: rounds:3,rules:4,peak:4,longest:6,steps:4,word:0,work:357,nodes:22,pairs:4,completionMax:29us [11m12s] 25704 ab:aa=a,babb=abaa infinite ab - - ab:aa=a,babb=aba,ababa=baba,bbaba=aba [11m12s] from: 25704 ab:aa=a,babb=abaa infinite to: 9172 ab:aa=a,babb=aba infinite a=a,b=b [11m12s] # 25705 solved: rounds:1,rules:3,peak:3,longest:7,steps:6,word:0,work:246,nodes:16,pairs:1,completionMax:10us [11m12s] 25705 ab:aa=a,babb=abab infinite ab - - ab:aa=a,babb=abab,bababab=ababab [11m12s] # 25706 solved: rounds:0,rules:2,peak:2,longest:4,steps:5,word:0,work:54,nodes:10,pairs:0,completionMax:6us [11m12s] 25706 ab:aa=a,babb=abba infinite ab - - ab:aa=a,babb=abba [11m12s] # 25707 solved: rounds:0,rules:2,peak:2,longest:4,steps:4,word:0,work:43,nodes:10,pairs:0,completionMax:3us [11m12s] 25707 ab:aa=a,babb=abbb infinite ab - - ab:aa=a,babb=abbb [11m12s] # 25708 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:24,nodes:10,pairs:0,completionMax:2us [11m12s] 25708 ab:aa=a,babb=baaa infinite ab - - ab:aa=a,babb=ba [11m12s] from: 25708 ab:aa=a,babb=baaa infinite to: 3031 ab:aa=a,babb=ba infinite a=a,b=b [11m12s] # 25709 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:17,nodes:10,pairs:0,completionMax:2us [11m12s] 25709 ab:aa=a,babb=baab infinite ab - - ab:aa=a,babb=bab [11m12s] from: 25709 ab:aa=a,babb=baab infinite to: 9175 ab:aa=a,babb=bab infinite a=a,b=b [11m12s] # 25710 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:10,pairs:0,completionMax:2us [11m12s] 25710 ab:aa=a,babb=baba infinite ab - - ab:aa=a,babb=baba [11m12s] # 25711 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:19,nodes:8,pairs:0,completionMax:3us [11m12s] 25711 ab:aa=a,bbaa=aabb infinite ab - - ab:aa=a,bba=abb [11m12s] from: 25711 ab:aa=a,bbaa=aabb infinite to: 3148 ab:aa=a,bba=abb infinite a=a,b=b [11m12s] # 25712 solved: rounds:2,rules:4,peak:4,longest:10,steps:8,word:3,work:339,nodes:30,pairs:2,completionMax:15us [11m12s] 25712 ab:aa=a,bbaa=abbb infinite b/a - - ab:abbbbbbbbb=abbbbbb,bba=abbb,aa=a,ababbb=abbb [11m12s] from: 25712 ab:aa=a,bbaa=abbb infinite to: 9162 ab:aa=a,abbb=bba infinite a=a,b=b [11m12s] # 25713 solved: rounds:2,rules:4,peak:4,longest:5,steps:3,word:0,work:198,nodes:20,pairs:3,completionMax:11us [11m12s] 25713 ab:aa=a,bbaa=babb infinite ab - - ab:aa=a,babb=bba,bbaba=bbba,bbbba=bbba [11m12s] from: 25713 ab:aa=a,bbaa=babb infinite to: 9176 ab:aa=a,babb=bba infinite a=a,b=b [11m12s] # 25714 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:30,nodes:10,pairs:0,completionMax:4us [11m12s] 25714 ab:aa=a,bbab=abbb infinite ab - - ab:aa=a,bbab=abbb [11m12s] # 25715 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:32,nodes:10,pairs:0,completionMax:4us [11m12s] 25715 ab:aa=a,bbab=babb infinite ab - - ab:aa=a,bbab=babb [11m12s] # 25716 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:3us [11m12s] 25716 ab:aa=a,bbba=abbb infinite ab - - ab:aa=a,bbba=abbb [11m12s] # 25717 solved: rounds:1,rules:2,peak:2,longest:8,steps:3,word:6,work:98,nodes:16,pairs:2,completionMax:13us [11m12s] 25717 ab:aa=a,bbbb=aaaa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 b/a - - ab:bbbbbbbb=bbbb,a=bbbb [11m12s] from: 25717 ab:aa=a,bbbb=aaaa finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=bbbb,b=b [11m12s] # 25718 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:2,work:105,nodes:16,pairs:1,completionMax:10us [11m12s] 25718 ab:aa=a,bbbb=aaab finite:14;idempotents:1,a,bbbbbb,bbbbbba b/a - - ab:bbbbbbb=bbbb,ab=bbbb,aa=a [11m12s] from: 25718 ab:aa=a,bbbb=aaab finite:14;idempotents:1,a,bbbbbb,bbbbbba to: 3034 ab:aa=a,bbbb=ab finite:14;idempotents:1,a,bbbbbb,bbbbbba a=a,b=b [11m12s] # 25719 solved: rounds:2,rules:5,peak:5,longest:8,steps:2,word:1,work:363,nodes:24,pairs:5,completionMax:24us [11m12s] 25719 ab:aa=a,bbbb=aaba infinite b/a - - ab:bbbbbbbb=bbbbb,abbbb=bbbb,bbbba=bbbb,aa=a,aba=bbbb [11m12s] from: 25719 ab:aa=a,bbbb=aaba infinite to: 9180 ab:aa=a,bbbb=aba infinite a=a,b=b [11m12s] # 25720 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:1,work:126,nodes:16,pairs:1,completionMax:10us [11m12s] 25720 ab:aa=a,bbbb=aabb infinite b/a - - ab:bbbbbb=bbbb,abb=bbbb,aa=a [11m12s] from: 25720 ab:aa=a,bbbb=aabb infinite to: 9181 ab:aa=a,bbbb=abb infinite a=a,b=b [11m12s] # 25721 solved: rounds:2,rules:5,peak:5,longest:7,steps:3,word:0,work:519,nodes:26,pairs:5,completionMax:30us [11m12s] 25721 ab:aa=a,bbbb=abab infinite ba - - ab:aa=a,abab=bbbb,abbbb=bbbb,bbbbab=bbbbb,bbbbbbb=bbbbb [11m12s] # 25722 solved: rounds:2,rules:5,peak:5,longest:8,steps:3,word:0,work:480,nodes:24,pairs:5,completionMax:28us [11m12s] 25722 ab:aa=a,bbbb=abba infinite ba - - ab:aa=a,abba=bbbb,bbbba=bbbb,abbbb=bbbb,bbbbbbbb=bbbbbb [11m12s] # 25723 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:206,nodes:16,pairs:1,completionMax:10us [11m12s] 25723 ab:aa=a,bbbb=abbb infinite ba - - ab:aa=a,abbb=bbbb,bbbbb=bbbb [11m12s] # 25724 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:16,nodes:8,pairs:0,completionMax:2us [11m12s] 25724 ab:aa=a,bbbb=baab infinite b/a - - ab:bab=bbbb,aa=a [11m12s] from: 25724 ab:aa=a,bbbb=baab infinite to: 9182 ab:aa=a,bbbb=bab infinite a=a,b=b [11m12s] # 25725 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:18,nodes:10,pairs:0,completionMax:4us [11m12s] 25725 ab:aa=a,bbbb=babb infinite ba - - ab:aa=a,babb=bbbb [11m12s] # 25726 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:104,nodes:10,pairs:0,completionMax:5us [11m12s] 25726 ab:aa=b,aaab=aaaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [11m12s] from: 25726 ab:aa=b,aaab=aaaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [11m12s] # 25727 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:1,work:103,nodes:10,pairs:0,completionMax:4us [11m12s] 25727 ab:aa=b,aaba=aaaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: a/b - - ab:aaaaa=aaaa,b=aa [11m12s] from: 25727 ab:aa=b,aaba=aaaa finite:5;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa;commutative:ab:a5=a4,b=a2;saturation::;noncancellative:aa,1,aaaa,aaaa;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=b,b=bb [11m12s] # 25728 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:7,nodes:2,pairs:0,completionMax:0us [11m12s] 25728 ab:aa=b,aaba=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25728 ab:aa=b,aaba=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25729 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:80,nodes:12,pairs:0,completionMax:5us [11m12s] 25729 ab:aa=b,aabb=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25729 ab:aa=b,aabb=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25730 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:192,nodes:12,pairs:0,completionMax:5us [11m12s] 25730 ab:aa=b,aabb=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25730 ab:aa=b,aabb=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25731 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:4us [11m12s] 25731 ab:aa=b,aabb=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25731 ab:aa=b,aabb=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25732 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:6,nodes:2,pairs:0,completionMax:1us [11m12s] 25732 ab:aa=b,abaa=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25732 ab:aa=b,abaa=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25733 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:5,nodes:2,pairs:0,completionMax:1us [11m12s] 25733 ab:aa=b,abaa=aaba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25733 ab:aa=b,abaa=aaba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25734 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:5us [11m12s] 25734 ab:aa=b,abaa=aabb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25734 ab:aa=b,abaa=aabb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25735 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:79,nodes:12,pairs:0,completionMax:3us [11m12s] 25735 ab:aa=b,abab=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25735 ab:aa=b,abab=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25736 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:191,nodes:12,pairs:0,completionMax:7us [11m12s] 25736 ab:aa=b,abab=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25736 ab:aa=b,abab=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25737 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:5us [11m12s] 25737 ab:aa=b,abab=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25737 ab:aa=b,abab=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25738 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:15,nodes:2,pairs:0,completionMax:1us [11m12s] 25738 ab:aa=b,abab=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25738 ab:aa=b,abab=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25739 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:5us [11m12s] 25739 ab:aa=b,abab=abaa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25739 ab:aa=b,abab=abaa finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25740 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:78,nodes:12,pairs:0,completionMax:3us [11m12s] 25740 ab:aa=b,abba=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25740 ab:aa=b,abba=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25741 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:4us [11m12s] 25741 ab:aa=b,abba=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25741 ab:aa=b,abba=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25742 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:4us [11m12s] 25742 ab:aa=b,abba=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25742 ab:aa=b,abba=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25743 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:14,nodes:2,pairs:0,completionMax:0us [11m12s] 25743 ab:aa=b,abba=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25743 ab:aa=b,abba=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25744 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:13,nodes:2,pairs:0,completionMax:0us [11m12s] 25744 ab:aa=b,abba=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25744 ab:aa=b,abba=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25745 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:82,nodes:14,pairs:0,completionMax:6us [11m12s] 25745 ab:aa=b,abbb=aaaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25745 ab:aa=b,abbb=aaaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25746 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:142,nodes:14,pairs:0,completionMax:8us [11m12s] 25746 ab:aa=b,abbb=aaab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25746 ab:aa=b,abbb=aaab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25747 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:141,nodes:14,pairs:0,completionMax:7us [11m12s] 25747 ab:aa=b,abbb=aaba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25747 ab:aa=b,abbb=aaba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25748 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:314,nodes:14,pairs:0,completionMax:9us [11m12s] 25748 ab:aa=b,abbb=aabb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25748 ab:aa=b,abbb=aabb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25749 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:140,nodes:14,pairs:0,completionMax:6us [11m12s] 25749 ab:aa=b,abbb=abaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25749 ab:aa=b,abbb=abaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25750 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:313,nodes:14,pairs:0,completionMax:7us [11m12s] 25750 ab:aa=b,abbb=abab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25750 ab:aa=b,abbb=abab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25751 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:312,nodes:14,pairs:0,completionMax:7us [11m12s] 25751 ab:aa=b,abbb=abba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25751 ab:aa=b,abbb=abba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25752 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:1,work:5,nodes:2,pairs:0,completionMax:1us [11m12s] 25752 ab:aa=b,baaa=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25752 ab:aa=b,baaa=aaab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25753 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:6us [11m12s] 25753 ab:aa=b,baaa=aabb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25753 ab:aa=b,baaa=aabb finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25754 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:188,nodes:12,pairs:0,completionMax:5us [11m12s] 25754 ab:aa=b,baaa=abab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25754 ab:aa=b,baaa=abab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25755 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:139,nodes:14,pairs:0,completionMax:5us [11m12s] 25755 ab:aa=b,baaa=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25755 ab:aa=b,baaa=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25756 solved: rounds:0,rules:2,peak:2,longest:6,steps:2,word:2,work:78,nodes:12,pairs:0,completionMax:5us [11m12s] 25756 ab:aa=b,baab=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 a/b - - ab:aaaaaa=aaaa,b=aa [11m12s] from: 25756 ab:aa=b,baab=aaaa finite:6;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a4,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaa,aaaa;smith:2 to: 644 ab:ab=aa,bbb=a finite:6;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b4,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25757 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:190,nodes:12,pairs:0,completionMax:5us [11m12s] 25757 ab:aa=b,baab=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25757 ab:aa=b,baab=aaab finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25758 solved: rounds:0,rules:2,peak:2,longest:6,steps:5,word:2,work:189,nodes:12,pairs:0,completionMax:6us [11m12s] 25758 ab:aa=b,baab=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: a/b - - ab:aaaaaa=aaaaa,b=aa [11m12s] from: 25758 ab:aa=b,baab=aaba finite:6;idempotents:1,aaaaa;center:1,a,aa,aaa,aaaa,aaaaa;commutative:ab:a6=a5,b=a2;saturation::;noncancellative:aa,1,aaaaa,aaaaa;smith: to: 1686 ab:abb=aa,bbb=a finite:6;idempotents:1,bbbbb;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=b5,a=b3;saturation::;noncancellative:b,1,bbbbb,bbbbb;smith: a=b,b=bb [11m12s] # 25759 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:14,nodes:2,pairs:0,completionMax:0us [11m12s] 25759 ab:aa=b,baab=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25759 ab:aa=b,baab=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25760 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:13,nodes:2,pairs:0,completionMax:0us [11m12s] 25760 ab:aa=b,baab=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25760 ab:aa=b,baab=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25761 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:12,nodes:2,pairs:0,completionMax:0us [11m12s] 25761 ab:aa=b,baab=abba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25761 ab:aa=b,baab=abba infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25762 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:312,nodes:14,pairs:0,completionMax:7us [11m12s] 25762 ab:aa=b,baab=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25762 ab:aa=b,baab=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25763 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:13,nodes:2,pairs:0,completionMax:1us [11m12s] 25763 ab:aa=b,baba=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25763 ab:aa=b,baba=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25764 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:12,nodes:2,pairs:0,completionMax:1us [11m12s] 25764 ab:aa=b,baba=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25764 ab:aa=b,baba=abab infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25765 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:311,nodes:14,pairs:0,completionMax:8us [11m12s] 25765 ab:aa=b,baba=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25765 ab:aa=b,baba=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25766 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:81,nodes:14,pairs:0,completionMax:6us [11m12s] 25766 ab:aa=b,babb=aaaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 a/b - - ab:aaaaaaa=aaaa,b=aa [11m12s] from: 25766 ab:aa=b,babb=aaaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a4,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaa,aaaa;smith:3 to: 1632 ab:aab=ab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b4,a=b3;saturation:a:a3=1;noncancellative:bbb,1,bbbb,bbbb;smith:3 a=b,b=bb [11m12s] # 25767 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:141,nodes:14,pairs:0,completionMax:5us [11m12s] 25767 ab:aa=b,babb=aaab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25767 ab:aa=b,babb=aaab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25768 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:140,nodes:14,pairs:0,completionMax:7us [11m12s] 25768 ab:aa=b,babb=aaba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25768 ab:aa=b,babb=aaba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25769 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:313,nodes:14,pairs:0,completionMax:6us [11m12s] 25769 ab:aa=b,babb=aabb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25769 ab:aa=b,babb=aabb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25770 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:139,nodes:14,pairs:0,completionMax:6us [11m12s] 25770 ab:aa=b,babb=abaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25770 ab:aa=b,babb=abaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25771 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:312,nodes:14,pairs:0,completionMax:8us [11m12s] 25771 ab:aa=b,babb=abab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25771 ab:aa=b,babb=abab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25772 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:311,nodes:14,pairs:0,completionMax:8us [11m12s] 25772 ab:aa=b,babb=abba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25772 ab:aa=b,babb=abba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25773 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:23,nodes:2,pairs:0,completionMax:1us [11m12s] 25773 ab:aa=b,babb=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25773 ab:aa=b,babb=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25774 solved: rounds:0,rules:2,peak:2,longest:7,steps:3,word:3,work:138,nodes:14,pairs:0,completionMax:6us [11m12s] 25774 ab:aa=b,babb=baaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaa=aaaaa,b=aa [11m12s] from: 25774 ab:aa=b,babb=baaa finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a5,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 4162 ab:abb=aab,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b5,a=b3;saturation:a:a2=1;noncancellative:bbb,b,bbbb,bbbbb;smith:2 a=b,b=bb [11m12s] # 25775 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:311,nodes:14,pairs:0,completionMax:11us [11m12s] 25775 ab:aa=b,babb=baab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25775 ab:aa=b,babb=baab finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25776 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:310,nodes:14,pairs:0,completionMax:8us [11m12s] 25776 ab:aa=b,babb=baba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25776 ab:aa=b,babb=baba finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25777 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:2,work:12,nodes:2,pairs:0,completionMax:1us [11m12s] 25777 ab:aa=b,bbaa=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25777 ab:aa=b,bbaa=aabb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25778 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:310,nodes:14,pairs:0,completionMax:6us [11m12s] 25778 ab:aa=b,bbaa=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25778 ab:aa=b,bbaa=abbb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25779 solved: rounds:0,rules:2,peak:2,longest:7,steps:6,word:3,work:309,nodes:14,pairs:0,completionMax:6us [11m12s] 25779 ab:aa=b,bbaa=babb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: a/b - - ab:aaaaaaa=aaaaaa,b=aa [11m12s] from: 25779 ab:aa=b,bbaa=babb finite:7;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:a7=a6,b=a2;saturation::;noncancellative:aa,1,aaaaaa,aaaaaa;smith: to: 1620 ab:aab=aa,bbb=a finite:7;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:b7=b6,a=b3;saturation::;noncancellative:b,1,bbbbbb,bbbbbb;smith: a=b,b=bb [11m12s] # 25780 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:22,nodes:2,pairs:0,completionMax:0us [11m12s] 25780 ab:aa=b,bbab=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25780 ab:aa=b,bbab=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25781 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:21,nodes:2,pairs:0,completionMax:0us [11m12s] 25781 ab:aa=b,bbab=babb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25781 ab:aa=b,bbab=babb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25782 solved: rounds:0,rules:1,peak:1,longest:2,steps:3,word:3,work:21,nodes:2,pairs:0,completionMax:0us [11m12s] 25782 ab:aa=b,bbba=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 a/b - - ab:b=aa [11m12s] from: 25782 ab:aa=b,bbba=abbb infinite;commutative:ab:b=a2;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=b,b=bb [11m12s] # 25783 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:80,nodes:16,pairs:0,completionMax:6us [11m12s] 25783 ab:aa=b,bbbb=aaaa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 a/b - - ab:aaaaaaaa=aaaa,b=aa [11m12s] from: 25783 ab:aa=b,bbbb=aaaa finite:8;idempotents:1,aaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a4,b=a2;saturation:a:a4=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:4 to: 898 ab:aa=a,bbbb=a finite:8;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b4,a=b4;saturation:a:a4=1;noncancellative:bbbb,1,bbbbb,bbbbb;smith:4 a=b,b=bb [11m12s] # 25784 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:132,nodes:16,pairs:0,completionMax:8us [11m12s] 25784 ab:aa=b,bbbb=aaab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25784 ab:aa=b,bbbb=aaab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25785 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:131,nodes:16,pairs:0,completionMax:7us [11m12s] 25785 ab:aa=b,bbbb=aaba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 a/b - - ab:aaaaaaaa=aaaaa,b=aa [11m12s] from: 25785 ab:aa=b,bbbb=aaba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a5,b=a2;saturation:a:a3=1;noncancellative:aaaa,a,aaaaaa,aaaaaaa;smith:3 to: 2206 ab:ab=aa,bbbb=a finite:8;idempotents:1,bbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b5,a=b4;saturation:a:a3=1;noncancellative:bbbb,b,bbbbb,bbbbbb;smith:3 a=b,b=bb [11m12s] # 25786 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:216,nodes:16,pairs:0,completionMax:8us [11m12s] 25786 ab:aa=b,bbbb=aabb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25786 ab:aa=b,bbbb=aabb finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25787 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:215,nodes:16,pairs:0,completionMax:9us [11m12s] 25787 ab:aa=b,bbbb=abab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25787 ab:aa=b,bbbb=abab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25788 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:214,nodes:16,pairs:0,completionMax:7us [11m12s] 25788 ab:aa=b,bbbb=abba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25788 ab:aa=b,bbbb=abba finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25789 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:476,nodes:16,pairs:0,completionMax:11us [11m12s] 25789 ab:aa=b,bbbb=abbb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a2;saturation::;noncancellative:aa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aa [11m12s] from: 25789 ab:aa=b,bbbb=abbb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a2;saturation::;noncancellative:aa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bb [11m12s] # 25790 solved: rounds:0,rules:2,peak:2,longest:8,steps:4,word:4,work:214,nodes:16,pairs:0,completionMax:5us [11m12s] 25790 ab:aa=b,bbbb=baab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 a/b - - ab:aaaaaaaa=aaaaaa,b=aa [11m12s] from: 25790 ab:aa=b,bbbb=baab finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a2;saturation:a:a2=1;noncancellative:aa,1,aaaaaa,aaaaaa;smith:2 to: 5191 ab:aab=bb,aaaa=b finite:8;idempotents:1,aaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a6,b=a4;saturation:a:a2=1;noncancellative:aaaa,1,aaaaaa,aaaaaa;smith:2 a=a,b=aa [11m12s] # 25791 solved: rounds:0,rules:2,peak:2,longest:8,steps:7,word:4,work:475,nodes:16,pairs:0,completionMax:7us [11m12s] 25791 ab:aa=b,bbbb=babb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a2;saturation::;noncancellative:aa,1,aaaaaaa,aaaaaaa;smith: a/b - - ab:aaaaaaaa=aaaaaaa,b=aa [11m12s] from: 25791 ab:aa=b,bbbb=babb finite:8;idempotents:1,aaaaaaa;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=a7,b=a2;saturation::;noncancellative:aa,1,aaaaaaa,aaaaaaa;smith: to: 12606 ab:abbb=aa,bbbb=a finite:8;idempotents:1,bbbbbbb;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=b7,a=b4;saturation::;noncancellative:b,1,bbbbbbb,bbbbbbb;smith: a=b,b=bb [11m12s] # 25792 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:60,nodes:8,pairs:0,completionMax:5us [11m12s] 25792 ab:ab=a,aaab=aaaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25792 ab:ab=a,aaab=aaaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25793 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:59,nodes:8,pairs:0,completionMax:3us [11m12s] 25793 ab:ab=a,aaba=aaaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25793 ab:ab=a,aaba=aaaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25794 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:7,nodes:4,pairs:0,completionMax:1us [11m12s] 25794 ab:ab=a,aaba=aaab infinite ab - - ab:ab=a [11m12s] from: 25794 ab:ab=a,aaba=aaab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25795 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:29,nodes:8,pairs:0,completionMax:4us [11m12s] 25795 ab:ab=a,aabb=aaaa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25795 ab:ab=a,aabb=aaaa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25796 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:34,nodes:6,pairs:0,completionMax:3us [11m12s] 25796 ab:ab=a,aabb=aaab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25796 ab:ab=a,aabb=aaab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25797 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:2us [11m12s] 25797 ab:ab=a,aabb=aaba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25797 ab:ab=a,aabb=aaba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25798 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:58,nodes:8,pairs:0,completionMax:4us [11m12s] 25798 ab:ab=a,abaa=aaaa infinite ab - - ab:ab=a,aaaa=aaa [11m12s] from: 25798 ab:ab=a,abaa=aaaa infinite to: 9256 ab:ab=a,aaaa=aaa infinite a=a,b=b [11m12s] # 25799 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:6,nodes:4,pairs:0,completionMax:0us [11m12s] 25799 ab:ab=a,abaa=aaab infinite ab - - ab:ab=a [11m12s] from: 25799 ab:ab=a,abaa=aaab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25800 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:5,nodes:4,pairs:0,completionMax:0us [11m12s] 25800 ab:ab=a,abaa=aaba infinite ab - - ab:ab=a [11m12s] from: 25800 ab:ab=a,abaa=aaba infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25801 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:3us [11m12s] 25801 ab:ab=a,abaa=aabb infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25801 ab:ab=a,abaa=aabb infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25802 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:28,nodes:8,pairs:0,completionMax:4us [11m12s] 25802 ab:ab=a,abab=aaaa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25802 ab:ab=a,abab=aaaa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25803 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:33,nodes:6,pairs:0,completionMax:4us [11m12s] 25803 ab:ab=a,abab=aaab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25803 ab:ab=a,abab=aaab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25804 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:2us [11m12s] 25804 ab:ab=a,abab=aaba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25804 ab:ab=a,abab=aaba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25805 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:11,nodes:4,pairs:0,completionMax:0us [11m12s] 25805 ab:ab=a,abab=aabb infinite ab - - ab:ab=a [11m12s] from: 25805 ab:ab=a,abab=aabb infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25806 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:3us [11m12s] 25806 ab:ab=a,abab=abaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25806 ab:ab=a,abab=abaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25807 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:27,nodes:8,pairs:0,completionMax:8us [11m12s] 25807 ab:ab=a,abba=aaaa infinite ab - - ab:ab=a,aaaa=aa [11m12s] from: 25807 ab:ab=a,abba=aaaa infinite to: 3072 ab:ab=a,aaaa=aa infinite a=a,b=b [11m12s] # 25808 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:32,nodes:6,pairs:0,completionMax:2us [11m12s] 25808 ab:ab=a,abba=aaab infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25808 ab:ab=a,abba=aaab infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25809 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:31,nodes:6,pairs:0,completionMax:4us [11m12s] 25809 ab:ab=a,abba=aaba infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25809 ab:ab=a,abba=aaba infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25810 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:0us [11m12s] 25810 ab:ab=a,abba=aabb infinite ab - - ab:ab=a [11m12s] from: 25810 ab:ab=a,abba=aabb infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25811 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:30,nodes:6,pairs:0,completionMax:4us [11m12s] 25811 ab:ab=a,abba=abaa infinite ab - - ab:ab=a,aaa=aa [11m12s] from: 25811 ab:ab=a,abba=abaa infinite to: 992 ab:ab=a,aaa=aa infinite a=a,b=b [11m12s] # 25812 solved: rounds:0,rules:1,peak:1,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 25812 ab:ab=a,abba=abab infinite ab - - ab:ab=a [11m12s] from: 25812 ab:ab=a,abba=abab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25813 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:20,nodes:8,pairs:0,completionMax:5us [11m12s] 25813 ab:ab=a,abbb=aaaa infinite ab - - ab:ab=a,aaaa=a [11m12s] from: 25813 ab:ab=a,abbb=aaaa infinite to: 920 ab:ab=a,aaaa=a infinite a=a,b=b [11m12s] # 25814 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:21,nodes:6,pairs:0,completionMax:2us [11m12s] 25814 ab:ab=a,abbb=aaab infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25814 ab:ab=a,abbb=aaab infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25815 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:20,nodes:6,pairs:0,completionMax:3us [11m12s] 25815 ab:ab=a,abbb=aaba infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25815 ab:ab=a,abbb=aaba infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25816 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:20,nodes:4,pairs:0,completionMax:2us [11m12s] 25816 ab:ab=a,abbb=aabb infinite ab - - ab:aa=a,ab=a [11m12s] from: 25816 ab:ab=a,abbb=aabb infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25817 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:19,nodes:6,pairs:0,completionMax:3us [11m12s] 25817 ab:ab=a,abbb=abaa infinite ab - - ab:ab=a,aaa=a [11m12s] from: 25817 ab:ab=a,abbb=abaa infinite to: 259 ab:ab=a,aaa=a infinite a=a,b=b [11m12s] # 25818 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:19,nodes:4,pairs:0,completionMax:2us [11m12s] 25818 ab:ab=a,abbb=abab infinite ab - - ab:aa=a,ab=a [11m12s] from: 25818 ab:ab=a,abbb=abab infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25819 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:18,nodes:4,pairs:0,completionMax:2us [11m12s] 25819 ab:ab=a,abbb=abba infinite ab - - ab:aa=a,ab=a [11m12s] from: 25819 ab:ab=a,abbb=abba infinite to: 55 ab:aa=a,ab=a infinite a=a,b=b [11m12s] # 25820 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:212,nodes:16,pairs:1,completionMax:12us [11m12s] 25820 ab:ab=a,baaa=aaaa infinite ab - - ab:ab=a,baaa=aaaa,aaaaa=aaaa [11m12s] # 25821 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 25821 ab:ab=a,baaa=aaab infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25821 ab:ab=a,baaa=aaab infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25822 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:11,nodes:10,pairs:0,completionMax:3us [11m12s] 25822 ab:ab=a,baaa=aaba infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25822 ab:ab=a,baaa=aaba infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25823 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:228,nodes:14,pairs:3,completionMax:27us [11m12s] 25823 ab:ab=a,baaa=aabb infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25823 ab:ab=a,baaa=aabb infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25824 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:10,nodes:10,pairs:0,completionMax:3us [11m12s] 25824 ab:ab=a,baaa=abaa infinite ab - - ab:ab=a,baaa=aaa [11m12s] from: 25824 ab:ab=a,baaa=abaa infinite to: 9320 ab:ab=a,baaa=aaa infinite a=a,b=b [11m12s] # 25825 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:227,nodes:14,pairs:3,completionMax:31us [11m12s] 25825 ab:ab=a,baaa=abab infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25825 ab:ab=a,baaa=abab infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25826 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:226,nodes:14,pairs:3,completionMax:25us [11m12s] 25826 ab:ab=a,baaa=abba infinite ab - - ab:ab=a,aaa=aa,baa=aa [11m12s] from: 25826 ab:ab=a,baaa=abba infinite to: 3104 ab:ab=a,baaa=aa infinite a=a,b=b [11m12s] # 25827 solved: rounds:3,rules:3,peak:5,longest:4,steps:3,word:0,work:147,nodes:14,pairs:5,completionMax:24us [11m12s] 25827 ab:ab=a,baaa=abbb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a [11m12s] from: 25827 ab:ab=a,baaa=abbb infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 936 ab:ab=a,baaa=a infinite;commutative:ab:ab=a,a3=a;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25828 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:97,nodes:14,pairs:1,completionMax:11us [11m12s] 25828 ab:ab=a,baab=aaaa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25828 ab:ab=a,baab=aaaa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25829 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:112,nodes:12,pairs:1,completionMax:10us [11m12s] 25829 ab:ab=a,baab=aaab infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25829 ab:ab=a,baab=aaab infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25830 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:111,nodes:12,pairs:1,completionMax:7us [11m12s] 25830 ab:ab=a,baab=aaba infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25830 ab:ab=a,baab=aaba infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25831 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:16,nodes:8,pairs:0,completionMax:4us [11m12s] 25831 ab:ab=a,baab=aabb infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25831 ab:ab=a,baab=aabb infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25832 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:12,pairs:1,completionMax:8us [11m12s] 25832 ab:ab=a,baab=abaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25832 ab:ab=a,baab=abaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25833 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:3us [11m12s] 25833 ab:ab=a,baab=abab infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25833 ab:ab=a,baab=abab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25834 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25834 ab:ab=a,baab=abba infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25834 ab:ab=a,baab=abba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25835 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:91,nodes:10,pairs:3,completionMax:24us [11m12s] 25835 ab:ab=a,baab=abbb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25835 ab:ab=a,baab=abbb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25836 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:118,nodes:14,pairs:1,completionMax:10us [11m12s] 25836 ab:ab=a,baab=baaa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [11m12s] from: 25836 ab:ab=a,baab=baaa infinite to: 9324 ab:ab=a,baaa=baa infinite a=a,b=b [11m12s] # 25837 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:96,nodes:14,pairs:1,completionMax:9us [11m12s] 25837 ab:ab=a,baba=aaaa infinite a/b - - ab:aaaaa=aaa,baa=aaaa,ab=a [11m12s] from: 25837 ab:ab=a,baba=aaaa infinite to: 9260 ab:ab=a,aaaa=baa infinite a=a,b=b [11m12s] # 25838 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:111,nodes:12,pairs:1,completionMax:8us [11m12s] 25838 ab:ab=a,baba=aaab infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25838 ab:ab=a,baba=aaab infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25839 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:12,pairs:1,completionMax:10us [11m12s] 25839 ab:ab=a,baba=aaba infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25839 ab:ab=a,baba=aaba infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25840 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:15,nodes:8,pairs:0,completionMax:1us [11m12s] 25840 ab:ab=a,baba=aabb infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25840 ab:ab=a,baba=aabb infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25841 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:12,pairs:1,completionMax:10us [11m12s] 25841 ab:ab=a,baba=abaa infinite ab - - ab:ab=a,baa=aaa,aaaa=aaa [11m12s] from: 25841 ab:ab=a,baba=abaa infinite to: 3178 ab:ab=a,baa=aaa infinite a=a,b=b [11m12s] # 25842 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 25842 ab:ab=a,baba=abab infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25842 ab:ab=a,baba=abab infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25843 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m12s] 25843 ab:ab=a,baba=abba infinite ab - - ab:ab=a,baa=aa [11m12s] from: 25843 ab:ab=a,baba=abba infinite to: 1008 ab:ab=a,baa=aa infinite a=a,b=b [11m12s] # 25844 solved: rounds:3,rules:3,peak:4,longest:3,steps:3,word:0,work:90,nodes:10,pairs:3,completionMax:18us [11m12s] 25844 ab:ab=a,baba=abbb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: ab - - ab:aa=a,ab=a,ba=a [11m12s] from: 25844 ab:ab=a,baba=abbb infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: to: 267 ab:ab=a,baa=a infinite;commutative:ab:a2=a,ab=a;saturation::;noncancellative:b,1,a,a;smith: a=a,b=b [11m12s] # 25845 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:117,nodes:14,pairs:1,completionMax:10us [11m12s] 25845 ab:ab=a,baba=baaa infinite ab - - ab:ab=a,aaaa=aaa,baaa=baa [11m12s] from: 25845 ab:ab=a,baba=baaa infinite to: 9324 ab:ab=a,baaa=baa infinite a=a,b=b [11m12s] # 25846 solved: rounds:0,rules:1,peak:1,longest:2,steps:1,word:0,work:7,nodes:4,pairs:0,completionMax:1us [11m12s] 25846 ab:ab=a,baba=baab infinite ab - - ab:ab=a [11m12s] from: 25846 ab:ab=a,baba=baab infinite to: 265 ab:ab=a,abb=a infinite a=a,b=b [11m12s] # 25847 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:2,work:58,nodes:12,pairs:1,completionMax:7us [11m12s] 25847 ab:ab=a,babb=aaaa infinite a/b - - ab:aaaaa=aa,ba=aaaa,ab=a [11m12s] from: 25847 ab:ab=a,babb=aaaa infinite to: 3074 ab:ab=a,aaaa=ba infinite a=a,b=b [11m12s] # 25848 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:53,nodes:10,pairs:1,completionMax:6us [11m12s] 25848 ab:ab=a,babb=aaab infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25848 ab:ab=a,babb=aaab infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25849 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:52,nodes:10,pairs:1,completionMax:6us [11m12s] 25849 ab:ab=a,babb=aaba infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25849 ab:ab=a,babb=aaba infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25850 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:8,pairs:1,completionMax:4us [11m12s] 25850 ab:ab=a,babb=aabb infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25850 ab:ab=a,babb=aabb infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25851 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:51,nodes:10,pairs:1,completionMax:6us [11m12s] 25851 ab:ab=a,babb=abaa infinite a/b - - ab:aaaa=aa,ba=aaa,ab=a [11m12s] from: 25851 ab:ab=a,babb=abaa infinite to: 994 ab:ab=a,aaa=ba infinite a=a,b=b [11m12s] # 25852 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:52,nodes:8,pairs:1,completionMax:4us [11m12s] 25852 ab:ab=a,babb=abab infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25852 ab:ab=a,babb=abab infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25853 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:51,nodes:8,pairs:1,completionMax:8us [11m12s] 25853 ab:ab=a,babb=abba infinite ab - - ab:ab=a,ba=aa,aaa=aa [11m12s] from: 25853 ab:ab=a,babb=abba infinite to: 998 ab:ab=a,aab=ba infinite a=a,b=b [11m12s] # 25854 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:16,nodes:6,pairs:0,completionMax:3us [11m12s] 25854 ab:ab=a,babb=abbb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 ab - - ab:ab=a,ba=a [11m12s] from: 25854 ab:ab=a,babb=abbb infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 to: 62 ab:ab=a,ba=a infinite;commutative:ab:ab=a;saturation:a:;noncancellative:b,1,a,a;smith:0 a=a,b=b [11m12s] # 25855 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:14,pairs:1,completionMax:11us [11m12s] 25855 ab:ab=a,babb=baaa infinite ab - - ab:ab=a,aaaa=aa,baaa=ba [11m12s] from: 25855 ab:ab=a,babb=baaa infinite to: 3106 ab:ab=a,baaa=ba infinite a=a,b=b [11m12s] # 25856 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:60,nodes:10,pairs:1,completionMax:7us [11m12s] 25856 ab:ab=a,babb=baab infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25856 ab:ab=a,babb=baab infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25857 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:10,pairs:1,completionMax:5us [11m12s] 25857 ab:ab=a,babb=baba infinite ab - - ab:ab=a,aaa=aa,baa=ba [11m12s] from: 25857 ab:ab=a,babb=baba infinite to: 1010 ab:ab=a,baa=ba infinite a=a,b=b [11m12s] # 25858 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:101,nodes:16,pairs:1,completionMax:9us [11m12s] 25858 ab:ab=a,bbaa=aaaa infinite ab - - ab:ab=a,bbaa=aaaa,aaaaa=aaa [11m12s] # 25859 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:110,nodes:14,pairs:1,completionMax:10us [11m12s] 25859 ab:ab=a,bbaa=aaab infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [11m12s] from: 25859 ab:ab=a,bbaa=aaab infinite to: 9352 ab:ab=a,bbaa=aaa infinite a=a,b=b [11m12s] # 25860 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:109,nodes:14,pairs:1,completionMax:8us [11m12s] 25860 ab:ab=a,bbaa=aaba infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [11m12s] from: 25860 ab:ab=a,bbaa=aaba infinite to: 9352 ab:ab=a,bbaa=aaa infinite a=a,b=b [11m12s] # 25861 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:1us [11m12s] 25861 ab:ab=a,bbaa=aabb infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25861 ab:ab=a,bbaa=aabb infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25862 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:108,nodes:14,pairs:1,completionMax:6us [11m12s] 25862 ab:ab=a,bbaa=abaa infinite ab - - ab:ab=a,aaaa=aaa,bbaa=aaa [11m12s] from: 25862 ab:ab=a,bbaa=abaa infinite to: 9352 ab:ab=a,bbaa=aaa infinite a=a,b=b [11m12s] # 25863 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:2us [11m12s] 25863 ab:ab=a,bbaa=abab infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25863 ab:ab=a,bbaa=abab infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25864 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 25864 ab:ab=a,bbaa=abba infinite ab - - ab:ab=a,bbaa=aa [11m12s] from: 25864 ab:ab=a,bbaa=abba infinite to: 3120 ab:ab=a,bbaa=aa infinite a=a,b=b [11m12s] # 25865 solved: rounds:3,rules:3,peak:4,longest:4,steps:3,word:0,work:97,nodes:12,pairs:3,completionMax:25us [11m12s] 25865 ab:ab=a,bbaa=abbb infinite ab - - ab:aa=a,ab=a,bba=a [11m12s] from: 25865 ab:ab=a,bbaa=abbb infinite to: 944 ab:ab=a,bbaa=a infinite a=a,b=b [11m12s] # 25866 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:120,nodes:14,pairs:1,completionMax:8us [11m12s] 25866 ab:ab=a,bbaa=baaa infinite ab - - ab:ab=a,aaaa=aaa,bbaa=baaa [11m12s] # 25867 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:16,nodes:10,pairs:0,completionMax:3us [11m12s] 25867 ab:ab=a,bbaa=baab infinite ab - - ab:ab=a,bbaa=baa [11m12s] from: 25867 ab:ab=a,bbaa=baab infinite to: 9356 ab:ab=a,bbaa=baa infinite a=a,b=b [11m12s] # 25868 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:15,nodes:10,pairs:0,completionMax:3us [11m12s] 25868 ab:ab=a,bbaa=baba infinite ab - - ab:ab=a,bbaa=baa [11m12s] from: 25868 ab:ab=a,bbaa=baba infinite to: 9356 ab:ab=a,bbaa=baa infinite a=a,b=b [11m12s] # 25869 solved: rounds:3,rules:4,peak:4,longest:4,steps:2,word:0,work:110,nodes:14,pairs:3,completionMax:18us [11m12s] 25869 ab:ab=a,bbaa=babb infinite ab - - ab:ab=a,aaa=aa,baa=ba,bba=ba [11m12s] from: 25869 ab:ab=a,bbaa=babb infinite to: 3122 ab:ab=a,bbaa=ba infinite a=a,b=b [11m12s] # 25870 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:60,nodes:14,pairs:1,completionMax:5us [11m12s] 25870 ab:ab=a,bbab=aaaa infinite a/b - - ab:aaaaa=aa,ab=a,bba=aaaa [11m12s] from: 25870 ab:ab=a,bbab=aaaa infinite to: 9262 ab:ab=a,aaaa=bba infinite a=a,b=b [11m12s] # 25871 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:56,nodes:12,pairs:1,completionMax:5us [11m12s] 25871 ab:ab=a,bbab=aaab infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25871 ab:ab=a,bbab=aaab infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25872 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:12,pairs:1,completionMax:7us [11m12s] 25872 ab:ab=a,bbab=aaba infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25872 ab:ab=a,bbab=aaba infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25873 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:54,nodes:10,pairs:1,completionMax:6us [11m12s] 25873 ab:ab=a,bbab=aabb infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25873 ab:ab=a,bbab=aabb infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25874 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:5us [11m12s] 25874 ab:ab=a,bbab=abaa infinite ab - - ab:ab=a,bba=aaa,aaaa=aa [11m12s] from: 25874 ab:ab=a,bbab=abaa infinite to: 3187 ab:ab=a,bba=aaa infinite a=a,b=b [11m12s] # 25875 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:53,nodes:10,pairs:1,completionMax:7us [11m12s] 25875 ab:ab=a,bbab=abab infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25875 ab:ab=a,bbab=abab infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25876 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:52,nodes:10,pairs:1,completionMax:6us [11m12s] 25876 ab:ab=a,bbab=abba infinite ab - - ab:ab=a,aaa=aa,bba=aa [11m12s] from: 25876 ab:ab=a,bbab=abba infinite to: 1016 ab:ab=a,bba=aa infinite a=a,b=b [11m12s] # 25877 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:17,nodes:8,pairs:0,completionMax:1us [11m12s] 25877 ab:ab=a,bbab=abbb infinite ab - - ab:ab=a,bba=a [11m12s] from: 25877 ab:ab=a,bbab=abbb infinite to: 271 ab:ab=a,bba=a infinite a=a,b=b [11m12s] # 25878 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:1,work:57,nodes:12,pairs:1,completionMax:5us [11m12s] 25878 ab:ab=a,bbab=baaa infinite a/b - - ab:aaaa=aa,ab=a,bba=baaa [11m12s] from: 25878 ab:ab=a,bbab=baaa infinite to: 9326 ab:ab=a,baaa=bba infinite a=a,b=b [11m12s] # 25879 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:59,nodes:10,pairs:1,completionMax:7us [11m12s] 25879 ab:ab=a,bbab=baab infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25879 ab:ab=a,bbab=baab infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25880 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:58,nodes:10,pairs:1,completionMax:5us [11m12s] 25880 ab:ab=a,bbab=baba infinite ab - - ab:ab=a,aaa=aa,bba=baa [11m12s] from: 25880 ab:ab=a,bbab=baba infinite to: 3191 ab:ab=a,bba=baa infinite a=a,b=b [11m12s] # 25881 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:20,nodes:8,pairs:0,completionMax:1us [11m12s] 25881 ab:ab=a,bbab=babb infinite ab - - ab:ab=a,bba=ba [11m12s] from: 25881 ab:ab=a,bbab=babb infinite to: 1018 ab:ab=a,bba=ba infinite a=a,b=b [11m12s] # 25882 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:66,nodes:12,pairs:1,completionMax:7us [11m12s] 25882 ab:ab=a,bbab=bbaa infinite ab - - ab:ab=a,aaa=aa,bbaa=bba [11m12s] from: 25882 ab:ab=a,bbab=bbaa infinite to: 9358 ab:ab=a,bbaa=bba infinite a=a,b=b [11m12s] # 25883 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:61,nodes:16,pairs:1,completionMax:8us [11m12s] 25883 ab:ab=a,bbba=aaaa infinite ab - - ab:ab=a,bbba=aaaa,aaaaa=aa [11m12s] # 25884 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:55,nodes:14,pairs:1,completionMax:7us [11m12s] 25884 ab:ab=a,bbba=aaab infinite ab - - ab:ab=a,aaaa=aa,bbba=aaa [11m12s] from: 25884 ab:ab=a,bbba=aaab infinite to: 9368 ab:ab=a,bbba=aaa infinite a=a,b=b [11m12s] # 25885 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:14,pairs:1,completionMax:8us [11m12s] 25885 ab:ab=a,bbba=aaba infinite ab - - ab:ab=a,aaaa=aa,bbba=aaa [11m12s] from: 25885 ab:ab=a,bbba=aaba infinite to: 9368 ab:ab=a,bbba=aaa infinite a=a,b=b [11m12s] # 25886 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:54,nodes:12,pairs:1,completionMax:7us [11m12s] 25886 ab:ab=a,bbba=aabb infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25886 ab:ab=a,bbba=aabb infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25887 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:14,pairs:1,completionMax:6us [11m12s] 25887 ab:ab=a,bbba=abaa infinite ab - - ab:ab=a,aaaa=aa,bbba=aaa [11m12s] from: 25887 ab:ab=a,bbba=abaa infinite to: 9368 ab:ab=a,bbba=aaa infinite a=a,b=b [11m12s] # 25888 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:53,nodes:12,pairs:1,completionMax:5us [11m12s] 25888 ab:ab=a,bbba=abab infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25888 ab:ab=a,bbba=abab infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25889 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:52,nodes:12,pairs:1,completionMax:11us [11m12s] 25889 ab:ab=a,bbba=abba infinite ab - - ab:ab=a,aaa=aa,bbba=aa [11m12s] from: 25889 ab:ab=a,bbba=abba infinite to: 3128 ab:ab=a,bbba=aa infinite a=a,b=b [11m12s] # 25890 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:16,nodes:10,pairs:0,completionMax:4us [11m12s] 25890 ab:ab=a,bbba=abbb infinite ab - - ab:ab=a,bbba=a [11m12s] from: 25890 ab:ab=a,bbba=abbb infinite to: 948 ab:ab=a,bbba=a infinite a=a,b=b [11m12s] # 25891 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:14,pairs:1,completionMax:11us [11m12s] 25891 ab:ab=a,bbba=baaa infinite ab - - ab:ab=a,aaaa=aa,bbba=baaa [11m12s] # 25892 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:58,nodes:12,pairs:1,completionMax:6us [11m12s] 25892 ab:ab=a,bbba=baab infinite ab - - ab:ab=a,aaa=aa,bbba=baa [11m12s] from: 25892 ab:ab=a,bbba=baab infinite to: 9372 ab:ab=a,bbba=baa infinite a=a,b=b [11m12s] # 25893 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:57,nodes:12,pairs:1,completionMax:8us [11m12s] 25893 ab:ab=a,bbba=baba infinite ab - - ab:ab=a,aaa=aa,bbba=baa [11m12s] from: 25893 ab:ab=a,bbba=baba infinite to: 9372 ab:ab=a,bbba=baa infinite a=a,b=b [11m12s] # 25894 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:19,nodes:10,pairs:0,completionMax:2us [11m12s] 25894 ab:ab=a,bbba=babb infinite ab - - ab:ab=a,bbba=ba [11m12s] from: 25894 ab:ab=a,bbba=babb infinite to: 3130 ab:ab=a,bbba=ba infinite a=a,b=b [11m12s] # 25895 solved: rounds:1,rules:3,peak:3,longest:4,steps:2,word:0,work:61,nodes:12,pairs:1,completionMax:8us [11m12s] 25895 ab:ab=a,bbba=bbaa infinite ab - - ab:ab=a,aaa=aa,bbba=bbaa [11m12s] # 25896 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:20,nodes:10,pairs:0,completionMax:2us [11m12s] 25896 ab:ab=a,bbba=bbab infinite ab - - ab:ab=a,bbba=bba [11m12s] from: 25896 ab:ab=a,bbba=bbab infinite to: 9374 ab:ab=a,bbba=bba infinite a=a,b=b [11m12s] # 25897 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:179,nodes:22,pairs:7,completionMax:29us [11m12s] 25897 ab:ab=a,bbbb=aaaa finite:8;idempotents:1,aaaa;center:1,a,b,aa,bb,aaa,bbb,aaaa;commutative:ab:ab=a,b4=a4,a5=a;saturation:a:a4=1;noncancellative:b,1,a,a;smith:4 ab - - ab:ab=a,ba=a,bbbb=aaaa,aaaaa=a [11m12s] # 25898 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:148,nodes:18,pairs:6,completionMax:20us [11m12s] 25898 ab:ab=a,bbbb=aaab finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a,bbbb=aaa [11m12s] from: 25898 ab:ab=a,bbbb=aaab finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 9376 ab:ab=a,bbbb=aaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25899 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:147,nodes:18,pairs:6,completionMax:18us [11m12s] 25899 ab:ab=a,bbbb=aaba finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a,bbbb=aaa [11m12s] from: 25899 ab:ab=a,bbbb=aaba finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 9376 ab:ab=a,bbbb=aaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25900 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:117,nodes:14,pairs:5,completionMax:13us [11m12s] 25900 ab:ab=a,bbbb=aabb finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [11m12s] from: 25900 ab:ab=a,bbbb=aabb finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25901 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:146,nodes:18,pairs:6,completionMax:15us [11m12s] 25901 ab:ab=a,bbbb=abaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 ab - - ab:ab=a,ba=a,aaaa=a,bbbb=aaa [11m12s] from: 25901 ab:ab=a,bbbb=abaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 to: 9376 ab:ab=a,bbbb=aaa finite:7;idempotents:1,aaa;center:1,a,b,aa,bb,aaa,bbb;commutative:ab:ab=a,a4=a,b4=a3;saturation:a:a3=1;noncancellative:b,1,a,a;smith:3 a=a,b=b [11m12s] # 25902 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:116,nodes:14,pairs:5,completionMax:13us [11m12s] 25902 ab:ab=a,bbbb=abab finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [11m12s] from: 25902 ab:ab=a,bbbb=abab finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25903 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:115,nodes:14,pairs:5,completionMax:13us [11m12s] 25903 ab:ab=a,bbbb=abba finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 ab - - ab:ab=a,ba=a,aaa=a,bbbb=aa [11m12s] from: 25903 ab:ab=a,bbbb=abba finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 to: 3132 ab:ab=a,bbbb=aa finite:6;idempotents:1,aa;center:1,a,b,aa,bb,bbb;commutative:ab:ab=a,a3=a,b4=a2;saturation:a:a2=1;noncancellative:b,1,a,a;smith:2 a=a,b=b [11m12s] # 25904 solved: rounds:1,rules:2,peak:2,longest:5,steps:4,word:3,work:107,nodes:10,pairs:1,completionMax:6us [11m12s] 25904 ab:ab=a,bbbb=abbb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: b/a - - ab:bbbbb=bbbb,a=bbbb [11m12s] from: 25904 ab:ab=a,bbbb=abbb finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: to: 950 ab:ab=a,bbbb=a finite:5;idempotents:1,bbbb;center:1,b,bb,bbb,bbbb;commutative:ab:b5=b4,a=b4;saturation::;noncancellative:b,1,bbbb,bbbb;smith: a=bbbb,b=b [11m12s] # 25905 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:216,nodes:18,pairs:6,completionMax:21us [11m12s] 25905 ab:ab=a,bbbb=baaa finite:10;idempotents:1,aaa,baaa ab - - ab:ab=a,bba=ba,aaaa=a,bbbb=baaa [11m12s] # 25906 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:167,nodes:14,pairs:5,completionMax:22us [11m12s] 25906 ab:ab=a,bbbb=baab finite:8;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbbb=baa [11m12s] from: 25906 ab:ab=a,bbbb=baab finite:8;idempotents:1,aa,baa to: 9380 ab:ab=a,bbbb=baa finite:8;idempotents:1,aa,baa a=a,b=b [11m12s] # 25907 solved: rounds:2,rules:4,peak:5,longest:4,steps:3,word:0,work:166,nodes:14,pairs:5,completionMax:17us [11m12s] 25907 ab:ab=a,bbbb=baba finite:8;idempotents:1,aa,baa ab - - ab:ab=a,aaa=a,bba=ba,bbbb=baa [11m12s] from: 25907 ab:ab=a,bbbb=baba finite:8;idempotents:1,aa,baa to: 9380 ab:ab=a,bbbb=baa finite:8;idempotents:1,aa,baa a=a,b=b [11m12s] # 25908 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:2,work:202,nodes:12,pairs:2,completionMax:10us [11m12s] 25908 ab:ab=a,bbbb=babb finite:6;idempotents:1,a,bbbb b/a - - ab:bbbbb=bbbb,ab=a,ba=bbbb,aa=a [11m12s] from: 25908 ab:ab=a,bbbb=babb finite:6;idempotents:1,a,bbbb to: 3134 ab:ab=a,bbbb=ba finite:6;idempotents:1,a,bbbb a=a,b=b [11m12s] # 25909 solved: rounds:2,rules:4,peak:5,longest:5,steps:3,word:0,work:265,nodes:14,pairs:5,completionMax:26us [11m12s] 25909 ab:ab=a,bbbb=bbaa finite:10;idempotents:1,aa,baa,bbaa ab - - ab:ab=a,aaa=a,bbba=bba,bbbb=bbaa [11m12s] # 25910 solved: rounds:1,rules:4,peak:4,longest:5,steps:4,word:1,work:229,nodes:12,pairs:2,completionMax:13us [11m12s] 25910 ab:ab=a,bbbb=bbab finite:7;idempotents:1,a,ba,bbbb b/a - - ab:bbbbb=bbbb,ab=a,bba=bbbb,aa=a [11m12s] from: 25910 ab:ab=a,bbbb=bbab finite:7;idempotents:1,a,ba,bbbb to: 9382 ab:ab=a,bbbb=bba finite:7;idempotents:1,a,ba,bbbb a=a,b=b [11m12s] # 25911 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:98,nodes:10,pairs:4,completionMax:9us [11m12s] 25911 ab:ab=a,bbbb=bbba finite:8;idempotents:1,a,ba,bba,bbba ab - - ab:aa=a,ab=a,bbbb=bbba [11m12s] # 25912 solved: rounds:0,rules:1,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:4us [11m12s] 25912 ab:aa=1,aaaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m12s] from: 25912 ab:aa=1,aaaaaaaaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m12s] # 25913 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:2us [11m12s] 25913 ab:aa=1,aaaaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 25913 ab:aa=1,aaaaaaaab=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 25914 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:37,nodes:8,pairs:7,completionMax:16us [11m12s] 25914 ab:aa=1,aaaaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 25914 ab:aa=1,aaaaaaaba=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 25915 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:18,nodes:8,pairs:4,completionMax:12us [11m12s] 25915 ab:aa=1,aaaaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25915 ab:aa=1,aaaaaaabb=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25916 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 25916 ab:aa=1,aaaaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 25916 ab:aa=1,aaaaaabaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 25917 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:33,nodes:10,pairs:3,completionMax:11us [11m12s] 25917 ab:aa=1,aaaaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25917 ab:aa=1,aaaaaabab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25918 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:14,nodes:8,pairs:3,completionMax:8us [11m12s] 25918 ab:aa=1,aaaaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25918 ab:aa=1,aaaaaabba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25919 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:6,nodes:8,pairs:0,completionMax:3us [11m12s] 25919 ab:aa=1,aaaaaabbb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25919 ab:aa=1,aaaaaabbb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25920 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:39,nodes:8,pairs:7,completionMax:20us [11m12s] 25920 ab:aa=1,aaaaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 25920 ab:aa=1,aaaaabaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 25921 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:20,nodes:8,pairs:4,completionMax:14us [11m12s] 25921 ab:aa=1,aaaaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25921 ab:aa=1,aaaaabaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25922 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:263,nodes:20,pairs:13,completionMax:38us [11m12s] 25922 ab:aa=1,aaaaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25922 ab:aa=1,aaaaababa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25923 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:272,nodes:18,pairs:10,completionMax:45us [11m12s] 25923 ab:aa=1,aaaaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25923 ab:aa=1,aaaaababb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25924 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:21,nodes:8,pairs:4,completionMax:10us [11m12s] 25924 ab:aa=1,aaaaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25924 ab:aa=1,aaaaabbaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25925 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:142,nodes:14,pairs:7,completionMax:29us [11m12s] 25925 ab:aa=1,aaaaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25925 ab:aa=1,aaaaabbab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25926 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:7,completionMax:16us [11m12s] 25926 ab:aa=1,aaaaabbba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25926 ab:aa=1,aaaaabbba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25927 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:26,nodes:16,pairs:4,completionMax:9us [11m12s] 25927 ab:aa=1,aaaaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25927 ab:aa=1,aaaaabbbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25928 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:0,completionMax:1us [11m12s] 25928 ab:aa=1,aaaabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 25928 ab:aa=1,aaaabaaaa=1 finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 25929 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:34,nodes:10,pairs:3,completionMax:16us [11m12s] 25929 ab:aa=1,aaaabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25929 ab:aa=1,aaaabaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25930 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:15,nodes:8,pairs:3,completionMax:12us [11m12s] 25930 ab:aa=1,aaaabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25930 ab:aa=1,aaaabaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25931 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 25931 ab:aa=1,aaaabaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25931 ab:aa=1,aaaabaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25932 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:36,nodes:10,pairs:3,completionMax:13us [11m12s] 25932 ab:aa=1,aaaababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25932 ab:aa=1,aaaababaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25933 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:72,nodes:12,pairs:5,completionMax:13us [11m12s] 25933 ab:aa=1,aaaababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25933 ab:aa=1,aaaababab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25934 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:185,nodes:14,pairs:10,completionMax:32us [11m12s] 25934 ab:aa=1,aaaababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25934 ab:aa=1,aaaababba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25935 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:339,nodes:24,pairs:10,completionMax:31us [11m12s] 25935 ab:aa=1,aaaababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25935 ab:aa=1,aaaababbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25936 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:16,nodes:8,pairs:3,completionMax:9us [11m12s] 25936 ab:aa=1,aaaabbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25936 ab:aa=1,aaaabbaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25937 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:8,pairs:0,completionMax:3us [11m12s] 25937 ab:aa=1,aaaabbaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25937 ab:aa=1,aaaabbaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25938 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:213,nodes:18,pairs:10,completionMax:43us [11m12s] 25938 ab:aa=1,aaaabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25938 ab:aa=1,aaaabbaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25939 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:264,nodes:22,pairs:9,completionMax:34us [11m12s] 25939 ab:aa=1,aaaabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25939 ab:aa=1,aaaabbabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25940 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:8,pairs:0,completionMax:1us [11m12s] 25940 ab:aa=1,aaaabbbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25940 ab:aa=1,aaaabbbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25941 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:286,nodes:18,pairs:15,completionMax:46us [11m12s] 25941 ab:aa=1,aaaabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25941 ab:aa=1,aaaabbbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25942 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:18,nodes:16,pairs:3,completionMax:11us [11m12s] 25942 ab:aa=1,aaaabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25942 ab:aa=1,aaaabbbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25943 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:4,nodes:12,pairs:0,completionMax:3us [11m12s] 25943 ab:aa=1,aaaabbbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 25943 ab:aa=1,aaaabbbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 25944 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:22,nodes:8,pairs:4,completionMax:8us [11m12s] 25944 ab:aa=1,aaabaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25944 ab:aa=1,aaabaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25945 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:265,nodes:20,pairs:13,completionMax:33us [11m12s] 25945 ab:aa=1,aaabaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25945 ab:aa=1,aaabaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25946 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:274,nodes:18,pairs:10,completionMax:31us [11m12s] 25946 ab:aa=1,aaabaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25946 ab:aa=1,aaabaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25947 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:23,nodes:8,pairs:4,completionMax:7us [11m12s] 25947 ab:aa=1,aaabaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25947 ab:aa=1,aaabaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25948 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:144,nodes:14,pairs:7,completionMax:17us [11m12s] 25948 ab:aa=1,aaabaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25948 ab:aa=1,aaabaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25949 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:55,nodes:16,pairs:7,completionMax:14us [11m12s] 25949 ab:aa=1,aaabaabba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25949 ab:aa=1,aaabaabba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25950 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:28,nodes:16,pairs:4,completionMax:11us [11m12s] 25950 ab:aa=1,aaabaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25950 ab:aa=1,aaabaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25951 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:267,nodes:20,pairs:13,completionMax:37us [11m12s] 25951 ab:aa=1,aaababaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25951 ab:aa=1,aaababaaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25952 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:276,nodes:18,pairs:10,completionMax:31us [11m12s] 25952 ab:aa=1,aaababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25952 ab:aa=1,aaababaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25953 solved: rounds:2,rules:3,peak:4,longest:7,steps:8,word:0,work:264,nodes:18,pairs:9,completionMax:28us [11m12s] 25953 ab:aa=1,aaabababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25953 ab:aa=1,aaabababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25954 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2368,nodes:26,pairs:65,completionMax:243us [11m12s] 25954 ab:aa=1,aaabababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25954 ab:aa=1,aaabababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25955 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:277,nodes:18,pairs:10,completionMax:45us [11m12s] 25955 ab:aa=1,aaababbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25955 ab:aa=1,aaababbaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25956 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:586,nodes:28,pairs:23,completionMax:84us [11m12s] 25956 ab:aa=1,aaababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25956 ab:aa=1,aaababbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25957 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:476,nodes:24,pairs:35,completionMax:95us [11m12s] 25957 ab:aa=1,aaababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25957 ab:aa=1,aaababbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25958 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1564,nodes:42,pairs:21,completionMax:102us [11m12s] 25958 ab:aa=1,aaababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 25958 ab:aa=1,aaababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 25959 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:145,nodes:14,pairs:7,completionMax:25us [11m12s] 25959 ab:aa=1,aaabbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25959 ab:aa=1,aaabbaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25960 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:56,nodes:16,pairs:7,completionMax:20us [11m12s] 25960 ab:aa=1,aaabbaaba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25960 ab:aa=1,aaabbaaba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25961 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:29,nodes:16,pairs:4,completionMax:9us [11m12s] 25961 ab:aa=1,aaabbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25961 ab:aa=1,aaabbaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25962 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:147,nodes:14,pairs:7,completionMax:26us [11m12s] 25962 ab:aa=1,aaabbabaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25962 ab:aa=1,aaabbabaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25963 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:740,nodes:30,pairs:30,completionMax:77us [11m12s] 25963 ab:aa=1,aaabbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25963 ab:aa=1,aaabbabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25964 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:6,work:602,nodes:36,pairs:13,completionMax:39us [11m12s] 25964 ab:aa=1,aaabbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25964 ab:aa=1,aaabbabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25965 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:650,nodes:24,pairs:17,completionMax:45us [11m12s] 25965 ab:aa=1,aaabbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 25965 ab:aa=1,aaabbabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 25966 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:16,pairs:7,completionMax:15us [11m12s] 25966 ab:aa=1,aaabbbaaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25966 ab:aa=1,aaabbbaaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25967 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:30,nodes:16,pairs:4,completionMax:10us [11m12s] 25967 ab:aa=1,aaabbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25967 ab:aa=1,aaabbbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25968 solved: rounds:4,rules:2,peak:9,longest:9,steps:7,word:6,work:1234,nodes:36,pairs:60,completionMax:146us [11m12s] 25968 ab:aa=1,aaabbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25968 ab:aa=1,aaabbbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25969 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:304,nodes:24,pairs:7,completionMax:26us [11m12s] 25969 ab:aa=1,aaabbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 25969 ab:aa=1,aaabbbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 25970 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:31,nodes:16,pairs:4,completionMax:20us [11m12s] 25970 ab:aa=1,aaabbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25970 ab:aa=1,aaabbbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25971 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7162,nodes:86,pairs:16,completionMax:268us [11m12s] 25971 ab:aa=1,aaabbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 25971 ab:aa=1,aaabbbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 25972 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:69,nodes:24,pairs:7,completionMax:28us [11m12s] 25972 ab:aa=1,aaabbbbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 25972 ab:aa=1,aaabbbbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 25973 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:34,nodes:24,pairs:4,completionMax:18us [11m12s] 25973 ab:aa=1,aaabbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 25973 ab:aa=1,aaabbbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 25974 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:35,nodes:10,pairs:3,completionMax:9us [11m12s] 25974 ab:aa=1,aabaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25974 ab:aa=1,aabaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25975 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:16,nodes:8,pairs:3,completionMax:9us [11m12s] 25975 ab:aa=1,aabaaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25975 ab:aa=1,aabaaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25976 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:8,pairs:0,completionMax:3us [11m12s] 25976 ab:aa=1,aabaaaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25976 ab:aa=1,aabaaaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25977 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:37,nodes:10,pairs:3,completionMax:12us [11m12s] 25977 ab:aa=1,aabaaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 25977 ab:aa=1,aabaaabaa=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 25978 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:73,nodes:12,pairs:5,completionMax:10us [11m12s] 25978 ab:aa=1,aabaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25978 ab:aa=1,aabaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25979 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:186,nodes:14,pairs:10,completionMax:29us [11m12s] 25979 ab:aa=1,aabaaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25979 ab:aa=1,aabaaabba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25980 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:340,nodes:24,pairs:10,completionMax:40us [11m12s] 25980 ab:aa=1,aabaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25980 ab:aa=1,aabaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25981 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:8,pairs:0,completionMax:3us [11m12s] 25981 ab:aa=1,aabaabaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25981 ab:aa=1,aabaabaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25982 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:214,nodes:18,pairs:10,completionMax:45us [11m12s] 25982 ab:aa=1,aabaababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25982 ab:aa=1,aabaababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25983 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:265,nodes:22,pairs:9,completionMax:32us [11m12s] 25983 ab:aa=1,aabaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25983 ab:aa=1,aabaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25984 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:8,pairs:0,completionMax:1us [11m12s] 25984 ab:aa=1,aabaabbaa=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 25984 ab:aa=1,aabaabbaa=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 25985 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:287,nodes:18,pairs:15,completionMax:45us [11m12s] 25985 ab:aa=1,aabaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25985 ab:aa=1,aabaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25986 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:19,nodes:16,pairs:3,completionMax:10us [11m12s] 25986 ab:aa=1,aabaabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25986 ab:aa=1,aabaabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25987 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:5,nodes:12,pairs:0,completionMax:3us [11m12s] 25987 ab:aa=1,aabaabbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 25987 ab:aa=1,aabaabbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 25988 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:75,nodes:12,pairs:5,completionMax:12us [11m12s] 25988 ab:aa=1,aababaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25988 ab:aa=1,aababaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25989 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:188,nodes:14,pairs:10,completionMax:27us [11m12s] 25989 ab:aa=1,aababaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25989 ab:aa=1,aababaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25990 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:342,nodes:24,pairs:10,completionMax:31us [11m12s] 25990 ab:aa=1,aababaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25990 ab:aa=1,aababaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25991 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:77,nodes:12,pairs:5,completionMax:12us [11m12s] 25991 ab:aa=1,aabababaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 25991 ab:aa=1,aabababaa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 25992 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:212,nodes:18,pairs:7,completionMax:17us [11m12s] 25992 ab:aa=1,aabababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25992 ab:aa=1,aabababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25993 solved: rounds:4,rules:2,peak:6,longest:8,steps:4,word:3,work:373,nodes:20,pairs:30,completionMax:57us [11m12s] 25993 ab:aa=1,aabababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25993 ab:aa=1,aabababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25994 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12622,nodes:86,pairs:92,completionMax:621us [11m12s] 25994 ab:aa=1,aabababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 25994 ab:aa=1,aabababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 25995 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:343,nodes:24,pairs:10,completionMax:39us [11m12s] 25995 ab:aa=1,aababbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25995 ab:aa=1,aababbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25996 solved: rounds:4,rules:2,peak:8,longest:8,steps:5,word:3,work:861,nodes:24,pairs:44,completionMax:87us [11m12s] 25996 ab:aa=1,aababbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25996 ab:aa=1,aababbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25997 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:320,nodes:16,pairs:6,completionMax:18us [11m12s] 25997 ab:aa=1,aababbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 25997 ab:aa=1,aababbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 25998 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:344,nodes:24,pairs:10,completionMax:41us [11m12s] 25998 ab:aa=1,aababbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 25998 ab:aa=1,aababbbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 25999 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2493,nodes:38,pairs:63,completionMax:161us [11m12s] 25999 ab:aa=1,aababbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 25999 ab:aa=1,aababbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26000 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:2352,nodes:42,pairs:32,completionMax:124us [11m12s] 26000 ab:aa=1,aababbbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26000 ab:aa=1,aababbbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26001 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:679,nodes:40,pairs:20,completionMax:72us [11m12s] 26001 ab:aa=1,aababbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26001 ab:aa=1,aababbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26002 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:8,pairs:0,completionMax:2us [11m12s] 26002 ab:aa=1,aabbaaaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26002 ab:aa=1,aabbaaaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26003 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:215,nodes:18,pairs:10,completionMax:31us [11m12s] 26003 ab:aa=1,aabbaaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26003 ab:aa=1,aabbaaaba=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26004 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:266,nodes:22,pairs:9,completionMax:39us [11m12s] 26004 ab:aa=1,aabbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26004 ab:aa=1,aabbaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26005 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:288,nodes:18,pairs:15,completionMax:35us [11m12s] 26005 ab:aa=1,aabbaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26005 ab:aa=1,aabbaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26006 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:20,nodes:16,pairs:3,completionMax:10us [11m12s] 26006 ab:aa=1,aabbaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26006 ab:aa=1,aabbaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26007 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:6,nodes:12,pairs:0,completionMax:3us [11m12s] 26007 ab:aa=1,aabbaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26007 ab:aa=1,aabbaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26008 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:268,nodes:22,pairs:9,completionMax:26us [11m12s] 26008 ab:aa=1,aabbabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26008 ab:aa=1,aabbabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26009 solved: rounds:4,rules:2,peak:8,longest:9,steps:8,word:6,work:1164,nodes:36,pairs:42,completionMax:109us [11m12s] 26009 ab:aa=1,aabbababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26009 ab:aa=1,aabbababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26010 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13298,nodes:86,pairs:91,completionMax:504us [11m12s] 26010 ab:aa=1,aabbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26010 ab:aa=1,aabbababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26011 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:269,nodes:22,pairs:9,completionMax:31us [11m12s] 26011 ab:aa=1,aabbabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26011 ab:aa=1,aabbabbaa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26012 solved: rounds:3,rules:3,peak:5,longest:7,steps:5,word:0,work:240,nodes:16,pairs:9,completionMax:26us [11m12s] 26012 ab:aa=1,aabbabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26012 ab:aa=1,aabbabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26013 solved: rounds:3,rules:3,peak:4,longest:7,steps:7,word:0,work:403,nodes:18,pairs:15,completionMax:29us [11m12s] 26013 ab:aa=1,aabbabbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26013 ab:aa=1,aabbabbba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26014 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1189,nodes:40,pairs:19,completionMax:73us [11m12s] 26014 ab:aa=1,aabbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26014 ab:aa=1,aabbabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26015 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:289,nodes:18,pairs:15,completionMax:37us [11m12s] 26015 ab:aa=1,aabbbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26015 ab:aa=1,aabbbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26016 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:21,nodes:16,pairs:3,completionMax:11us [11m12s] 26016 ab:aa=1,aabbbaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26016 ab:aa=1,aabbbaaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26017 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:7,nodes:12,pairs:0,completionMax:3us [11m12s] 26017 ab:aa=1,aabbbaabb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26017 ab:aa=1,aabbbaabb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26018 solved: rounds:6,rules:3,peak:11,longest:42,steps:25,word:45,work:10778,nodes:86,pairs:82,completionMax:579us [11m12s] 26018 ab:aa=1,aabbbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26018 ab:aa=1,aabbbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26019 solved: rounds:4,rules:3,peak:7,longest:7,steps:6,word:0,work:1038,nodes:34,pairs:24,completionMax:89us [11m12s] 26019 ab:aa=1,aabbbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26019 ab:aa=1,aabbbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26020 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:543,nodes:32,pairs:12,completionMax:56us [11m12s] 26020 ab:aa=1,aabbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26020 ab:aa=1,aabbbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26021 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:12,pairs:0,completionMax:4us [11m12s] 26021 ab:aa=1,aabbbbaab=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26021 ab:aa=1,aabbbbaab=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26022 solved: rounds:5,rules:3,peak:8,longest:17,steps:12,word:15,work:3971,nodes:78,pairs:27,completionMax:236us [11m12s] 26022 ab:aa=1,aabbbbaba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26022 ab:aa=1,aabbbbaba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26023 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:10,work:3289,nodes:60,pairs:33,completionMax:203us [11m12s] 26023 ab:aa=1,aabbbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26023 ab:aa=1,aabbbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26024 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:12,pairs:0,completionMax:3us [11m12s] 26024 ab:aa=1,aabbbbbaa=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26024 ab:aa=1,aabbbbbaa=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26025 solved: rounds:4,rules:2,peak:9,longest:21,steps:7,word:10,work:4799,nodes:56,pairs:36,completionMax:262us [11m12s] 26025 ab:aa=1,aabbbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26025 ab:aa=1,aabbbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26026 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:22,nodes:24,pairs:3,completionMax:13us [11m12s] 26026 ab:aa=1,aabbbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26026 ab:aa=1,aabbbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26027 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:2,nodes:16,pairs:0,completionMax:4us [11m12s] 26027 ab:aa=1,aabbbbbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26027 ab:aa=1,aabbbbbbb=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26028 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:24,nodes:8,pairs:4,completionMax:6us [11m12s] 26028 ab:aa=1,abaaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26028 ab:aa=1,abaaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26029 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:267,nodes:20,pairs:13,completionMax:25us [11m12s] 26029 ab:aa=1,abaaaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26029 ab:aa=1,abaaaaaba=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26030 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:276,nodes:18,pairs:10,completionMax:31us [11m12s] 26030 ab:aa=1,abaaaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26030 ab:aa=1,abaaaaabb=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26031 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:146,nodes:14,pairs:7,completionMax:23us [11m12s] 26031 ab:aa=1,abaaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26031 ab:aa=1,abaaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26032 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:57,nodes:16,pairs:7,completionMax:14us [11m12s] 26032 ab:aa=1,abaaaabba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26032 ab:aa=1,abaaaabba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26033 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:30,nodes:16,pairs:4,completionMax:11us [11m12s] 26033 ab:aa=1,abaaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26033 ab:aa=1,abaaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26034 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:278,nodes:18,pairs:10,completionMax:32us [11m12s] 26034 ab:aa=1,abaaabaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26034 ab:aa=1,abaaabaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26035 solved: rounds:2,rules:3,peak:4,longest:7,steps:8,word:0,work:266,nodes:18,pairs:9,completionMax:21us [11m12s] 26035 ab:aa=1,abaaababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26035 ab:aa=1,abaaababa=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26036 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2370,nodes:26,pairs:65,completionMax:224us [11m12s] 26036 ab:aa=1,abaaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26036 ab:aa=1,abaaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26037 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:588,nodes:28,pairs:23,completionMax:103us [11m12s] 26037 ab:aa=1,abaaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26037 ab:aa=1,abaaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26038 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:478,nodes:24,pairs:35,completionMax:71us [11m12s] 26038 ab:aa=1,abaaabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26038 ab:aa=1,abaaabbba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26039 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1566,nodes:42,pairs:21,completionMax:90us [11m12s] 26039 ab:aa=1,abaaabbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26039 ab:aa=1,abaaabbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26040 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:147,nodes:14,pairs:7,completionMax:24us [11m12s] 26040 ab:aa=1,abaabaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26040 ab:aa=1,abaabaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26041 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:58,nodes:16,pairs:7,completionMax:15us [11m12s] 26041 ab:aa=1,abaabaaba=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26041 ab:aa=1,abaabaaba=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26042 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:31,nodes:16,pairs:4,completionMax:13us [11m12s] 26042 ab:aa=1,abaabaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26042 ab:aa=1,abaabaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26043 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:742,nodes:30,pairs:30,completionMax:112us [11m12s] 26043 ab:aa=1,abaababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26043 ab:aa=1,abaababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26044 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:6,work:604,nodes:36,pairs:13,completionMax:58us [11m12s] 26044 ab:aa=1,abaababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26044 ab:aa=1,abaababba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26045 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:652,nodes:24,pairs:17,completionMax:54us [11m12s] 26045 ab:aa=1,abaababbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26045 ab:aa=1,abaababbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26046 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:32,nodes:16,pairs:4,completionMax:9us [11m12s] 26046 ab:aa=1,abaabbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26046 ab:aa=1,abaabbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26047 solved: rounds:4,rules:2,peak:9,longest:9,steps:7,word:6,work:1236,nodes:36,pairs:60,completionMax:120us [11m12s] 26047 ab:aa=1,abaabbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26047 ab:aa=1,abaabbaba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26048 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:306,nodes:24,pairs:7,completionMax:22us [11m12s] 26048 ab:aa=1,abaabbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26048 ab:aa=1,abaabbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26049 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7164,nodes:86,pairs:16,completionMax:184us [11m12s] 26049 ab:aa=1,abaabbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26049 ab:aa=1,abaabbbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26050 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:71,nodes:24,pairs:7,completionMax:16us [11m12s] 26050 ab:aa=1,abaabbbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26050 ab:aa=1,abaabbbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26051 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:36,nodes:24,pairs:4,completionMax:13us [11m12s] 26051 ab:aa=1,abaabbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26051 ab:aa=1,abaabbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26052 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:280,nodes:18,pairs:10,completionMax:32us [11m12s] 26052 ab:aa=1,ababaaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26052 ab:aa=1,ababaaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26053 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2372,nodes:26,pairs:65,completionMax:286us [11m12s] 26053 ab:aa=1,ababaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26053 ab:aa=1,ababaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26054 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:590,nodes:28,pairs:23,completionMax:66us [11m12s] 26054 ab:aa=1,ababaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26054 ab:aa=1,ababaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26055 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:480,nodes:24,pairs:35,completionMax:75us [11m12s] 26055 ab:aa=1,ababaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26055 ab:aa=1,ababaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26056 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1568,nodes:42,pairs:21,completionMax:108us [11m12s] 26056 ab:aa=1,ababaabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26056 ab:aa=1,ababaabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26057 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2374,nodes:26,pairs:65,completionMax:173us [11m12s] 26057 ab:aa=1,abababaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26057 ab:aa=1,abababaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26058 solved: rounds:2,rules:2,peak:5,longest:20,steps:39,word:12,work:2461,nodes:56,pairs:19,completionMax:74us [11m12s] 26058 ab:aa=1,ababababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26058 ab:aa=1,ababababa=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26059 solved: rounds:4,rules:3,peak:11,longest:9,steps:8,word:0,work:4556,nodes:36,pairs:98,completionMax:225us [11m12s] 26059 ab:aa=1,ababababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26059 ab:aa=1,ababababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26060 solved: rounds:3,rules:3,peak:7,longest:9,steps:6,word:0,work:1122,nodes:36,pairs:31,completionMax:75us [11m12s] 26060 ab:aa=1,abababbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26060 ab:aa=1,abababbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26061 solved: rounds:8,rules:3,peak:8,longest:42,steps:25,word:45,work:9112,nodes:86,pairs:61,completionMax:421us [11m12s] 26061 ab:aa=1,abababbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26061 ab:aa=1,abababbba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26062 solved: rounds:5,rules:5,peak:10,longest:24,steps:15,word:17,work:10856,nodes:80,pairs:57,completionMax:328us [11m12s] 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] # 26063 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:591,nodes:28,pairs:23,completionMax:64us [11m12s] 26063 ab:aa=1,ababbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26063 ab:aa=1,ababbaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26064 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1569,nodes:42,pairs:21,completionMax:89us [11m12s] 26064 ab:aa=1,ababbaabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26064 ab:aa=1,ababbaabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26065 solved: rounds:3,rules:3,peak:8,longest:9,steps:6,word:0,work:1565,nodes:32,pairs:31,completionMax:118us [11m12s] 26065 ab:aa=1,ababbabab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26065 ab:aa=1,ababbabab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26066 solved: rounds:4,rules:3,peak:5,longest:9,steps:9,word:0,work:658,nodes:32,pairs:30,completionMax:57us [11m12s] 26066 ab:aa=1,ababbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26066 ab:aa=1,ababbabba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26067 solved: rounds:5,rules:6,peak:16,longest:13,steps:9,word:10,work:13263,nodes:100,pairs:114,completionMax:566us [11m12s] 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=babbbbbb,abba=bbbabbbbb,abbba=bbabbbbbbb [11m12s] # 26068 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1570,nodes:42,pairs:21,completionMax:86us [11m12s] 26068 ab:aa=1,ababbbaab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26068 ab:aa=1,ababbbaab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26069 solved: rounds:3,rules:3,peak:12,longest:9,steps:8,word:0,work:4667,nodes:54,pairs:106,completionMax:297us [11m12s] 26069 ab:aa=1,ababbbaba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26069 ab:aa=1,ababbbaba=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26070 solved: rounds:5,rules:6,peak:22,longest:15,steps:8,word:10,work:28712,nodes:146,pairs:94,completionMax:1342us [11m12s] 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] # 26071 solved: rounds:4,rules:5,peak:8,longest:24,steps:9,word:17,work:4831,nodes:56,pairs:39,completionMax:201us [11m12s] 26071 ab:aa=1,ababbbbab=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26071 ab:aa=1,ababbbbab=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26072 solved: rounds:5,rules:2,peak:7,longest:12,steps:7,word:5,work:1949,nodes:36,pairs:34,completionMax:110us [11m12s] 26072 ab:aa=1,ababbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26072 ab:aa=1,ababbbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26073 solved: rounds:6,rules:3,peak:9,longest:35,steps:29,word:49,work:13470,nodes:86,pairs:43,completionMax:648us [11m12s] 26073 ab:aa=1,ababbbbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aa=1 [11m12s] # 26074 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:148,nodes:14,pairs:7,completionMax:19us [11m12s] 26074 ab:aa=1,abbaaaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26074 ab:aa=1,abbaaaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26075 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:32,nodes:16,pairs:4,completionMax:9us [11m12s] 26075 ab:aa=1,abbaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26075 ab:aa=1,abbaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26076 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:743,nodes:30,pairs:30,completionMax:116us [11m12s] 26076 ab:aa=1,abbaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26076 ab:aa=1,abbaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26077 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:6,work:605,nodes:36,pairs:13,completionMax:55us [11m12s] 26077 ab:aa=1,abbaaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26077 ab:aa=1,abbaaabba=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26078 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:653,nodes:24,pairs:17,completionMax:66us [11m12s] 26078 ab:aa=1,abbaaabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26078 ab:aa=1,abbaaabbb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26079 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:33,nodes:16,pairs:4,completionMax:13us [11m12s] 26079 ab:aa=1,abbaabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26079 ab:aa=1,abbaabaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26080 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:307,nodes:24,pairs:7,completionMax:26us [11m12s] 26080 ab:aa=1,abbaababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26080 ab:aa=1,abbaababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26081 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7165,nodes:86,pairs:16,completionMax:202us [11m12s] 26081 ab:aa=1,abbaabbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26081 ab:aa=1,abbaabbab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26082 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:72,nodes:24,pairs:7,completionMax:24us [11m12s] 26082 ab:aa=1,abbaabbba=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26082 ab:aa=1,abbaabbba=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26083 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:37,nodes:24,pairs:4,completionMax:13us [11m12s] 26083 ab:aa=1,abbaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26083 ab:aa=1,abbaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26084 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:745,nodes:30,pairs:30,completionMax:90us [11m12s] 26084 ab:aa=1,abbabaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26084 ab:aa=1,abbabaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26085 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:655,nodes:24,pairs:17,completionMax:68us [11m12s] 26085 ab:aa=1,abbabaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26085 ab:aa=1,abbabaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26086 solved: rounds:3,rules:3,peak:5,longest:9,steps:12,word:0,work:1602,nodes:38,pairs:23,completionMax:77us [11m12s] 26086 ab:aa=1,abbababab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26086 ab:aa=1,abbababab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26087 solved: rounds:3,rules:3,peak:12,longest:16,steps:8,word:20,work:8865,nodes:94,pairs:129,completionMax:571us [11m12s] 26087 ab:aa=1,abbababba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26087 ab:aa=1,abbababba=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26088 solved: rounds:5,rules:6,peak:25,longest:14,steps:29,word:15,work:80379,nodes:132,pairs:204,completionMax:2321us [11m12s] 26088 ab:aa=1,abbababbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26088 ab:aa=1,abbababbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26089 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:656,nodes:24,pairs:17,completionMax:41us [11m12s] 26089 ab:aa=1,abbabbaab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26089 ab:aa=1,abbabbaab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26090 solved: rounds:4,rules:5,peak:8,longest:9,steps:6,word:2,work:793,nodes:39,pairs:19,completionMax:95us [11m12s] 26090 ab:aa=1,abbabbabb=1 infinite;group:a-a,b-bacaca,c-acaca ac/b bb=c frequency:2/0 abc:aa=1,cacac=a,cb=bc,cacab=abacaca,bb=c [11m12s] # 26091 solved: rounds:4,rules:6,peak:25,longest:19,steps:9,word:10,work:52626,nodes:166,pairs:307,completionMax:2981us [11m12s] 26091 ab:aa=1,abbabbbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=babbbbbb,abba=bbbabbbbb,abbba=bbabbbbbbb [11m12s] from: 26091 ab:aa=1,abbabbbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26092 solved: rounds:5,rules:2,peak:9,longest:12,steps:7,word:5,work:2273,nodes:46,pairs:50,completionMax:175us [11m12s] 26092 ab:aa=1,abbabbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26092 ab:aa=1,abbabbbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26093 solved: rounds:4,rules:3,peak:9,longest:21,steps:11,word:14,work:5322,nodes:70,pairs:42,completionMax:321us [11m12s] 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] # 26094 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:34,nodes:16,pairs:4,completionMax:13us [11m12s] 26094 ab:aa=1,abbbaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26094 ab:aa=1,abbbaaaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26095 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:308,nodes:24,pairs:7,completionMax:34us [11m12s] 26095 ab:aa=1,abbbaaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26095 ab:aa=1,abbbaaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26096 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7166,nodes:86,pairs:16,completionMax:267us [11m12s] 26096 ab:aa=1,abbbaabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26096 ab:aa=1,abbbaabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26097 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:38,nodes:24,pairs:4,completionMax:13us [11m12s] 26097 ab:aa=1,abbbaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26097 ab:aa=1,abbbaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26098 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:310,nodes:24,pairs:7,completionMax:26us [11m12s] 26098 ab:aa=1,abbbabaab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26098 ab:aa=1,abbbabaab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26099 solved: rounds:4,rules:6,peak:20,longest:15,steps:11,word:10,work:22762,nodes:108,pairs:93,completionMax:1004us [11m12s] 26099 ab:aa=1,abbbababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=babbbbbb,abba=bbbabbbbb,abbba=bbabbbbbbb [11m12s] from: 26099 ab:aa=1,abbbababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26100 solved: rounds:4,rules:6,peak:24,longest:18,steps:7,word:10,work:30871,nodes:128,pairs:268,completionMax:2026us [11m12s] 26100 ab:aa=1,abbbabbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26100 ab:aa=1,abbbabbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26101 solved: rounds:2,rules:2,peak:5,longest:18,steps:8,word:10,work:1070,nodes:52,pairs:13,completionMax:59us [11m12s] 26101 ab:aa=1,abbbabbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26101 ab:aa=1,abbbabbba=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26102 solved: rounds:4,rules:3,peak:7,longest:10,steps:10,word:0,work:1655,nodes:32,pairs:23,completionMax:72us [11m12s] 26102 ab:aa=1,abbbabbbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26102 ab:aa=1,abbbabbbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26103 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7167,nodes:86,pairs:16,completionMax:196us [11m12s] 26103 ab:aa=1,abbbbaaab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26103 ab:aa=1,abbbbaaab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26104 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:39,nodes:24,pairs:4,completionMax:19us [11m12s] 26104 ab:aa=1,abbbbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26104 ab:aa=1,abbbbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26105 solved: rounds:3,rules:5,peak:11,longest:24,steps:16,word:17,work:11161,nodes:104,pairs:42,completionMax:471us [11m12s] 26105 ab:aa=1,abbbbabab=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26105 ab:aa=1,abbbbabab=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26106 solved: rounds:2,rules:3,peak:5,longest:9,steps:8,word:0,work:513,nodes:34,pairs:7,completionMax:41us [11m12s] 26106 ab:aa=1,abbbbabbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26106 ab:aa=1,abbbbabbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26107 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:40,nodes:24,pairs:4,completionMax:16us [11m12s] 26107 ab:aa=1,abbbbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26107 ab:aa=1,abbbbbaab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26108 solved: rounds:4,rules:3,peak:4,longest:22,steps:28,word:21,work:2541,nodes:84,pairs:17,completionMax:147us [11m12s] 26108 ab:aa=1,abbbbbabb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] from: 26108 ab:aa=1,abbbbbabb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26109 solved: rounds:3,rules:8,peak:10,longest:11,steps:6,word:0,work:3699,nodes:48,pairs:36,completionMax:192us [11m12s] 26109 ab:aa=1,abbbbbbab=1 finite:70;center:1,abab,bbbbb,abbabb,abbbabbb,abbbbabbbb,bbbbbbbbbb;group:a-a,b-ababbbbb ab - - ab:aa=1,baba=abab,babba=abbab,babbba=abbbab,bbbbba=abbbbb,babbbba=abbbbab,babbbbbb=a,bbbbbbbbbbb=abbbba [11m12s] # 26110 solved: rounds:2,rules:2,peak:4,longest:9,steps:2,word:0,work:85,nodes:32,pairs:7,completionMax:33us [11m12s] 26110 ab:aa=1,abbbbbbba=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26110 ab:aa=1,abbbbbbba=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26111 solved: rounds:2,rules:2,peak:3,longest:16,steps:1,word:7,work:42,nodes:32,pairs:4,completionMax:25us [11m12s] 26111 ab:aa=1,abbbbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26111 ab:aa=1,abbbbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26112 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:36,nodes:10,pairs:3,completionMax:14us [11m12s] 26112 ab:aa=1,baaaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26112 ab:aa=1,baaaaaaab=1 finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26113 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:8,pairs:0,completionMax:4us [11m12s] 26113 ab:aa=1,baaaaaabb=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26113 ab:aa=1,baaaaaabb=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26114 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:74,nodes:12,pairs:5,completionMax:10us [11m12s] 26114 ab:aa=1,baaaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26114 ab:aa=1,baaaaabab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26115 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:341,nodes:24,pairs:10,completionMax:50us [11m12s] 26115 ab:aa=1,baaaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26115 ab:aa=1,baaaaabbb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26116 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:8,pairs:0,completionMax:2us [11m12s] 26116 ab:aa=1,baaaabaab=1 infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26116 ab:aa=1,baaaabaab=1 infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26117 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:266,nodes:22,pairs:9,completionMax:27us [11m12s] 26117 ab:aa=1,baaaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26117 ab:aa=1,baaaababb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26118 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:288,nodes:18,pairs:15,completionMax:47us [11m12s] 26118 ab:aa=1,baaaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26118 ab:aa=1,baaaabbab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26119 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:6,nodes:12,pairs:0,completionMax:2us [11m12s] 26119 ab:aa=1,baaaabbbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26119 ab:aa=1,baaaabbbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26120 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:76,nodes:12,pairs:5,completionMax:21us [11m12s] 26120 ab:aa=1,baaabaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26120 ab:aa=1,baaabaaab=1 finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26121 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:343,nodes:24,pairs:10,completionMax:33us [11m12s] 26121 ab:aa=1,baaabaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26121 ab:aa=1,baaabaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26122 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:213,nodes:18,pairs:7,completionMax:22us [11m12s] 26122 ab:aa=1,baaababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26122 ab:aa=1,baaababab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26123 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12623,nodes:86,pairs:92,completionMax:648us [11m12s] 26123 ab:aa=1,baaababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26123 ab:aa=1,baaababbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26124 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:344,nodes:24,pairs:10,completionMax:41us [11m12s] 26124 ab:aa=1,baaabbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26124 ab:aa=1,baaabbaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26125 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:321,nodes:16,pairs:6,completionMax:23us [11m12s] 26125 ab:aa=1,baaabbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26125 ab:aa=1,baaabbabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26126 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2494,nodes:38,pairs:63,completionMax:187us [11m12s] 26126 ab:aa=1,baaabbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26126 ab:aa=1,baaabbbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26127 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:680,nodes:40,pairs:20,completionMax:59us [11m12s] 26127 ab:aa=1,baaabbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26127 ab:aa=1,baaabbbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26128 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:267,nodes:22,pairs:9,completionMax:31us [11m12s] 26128 ab:aa=1,baabaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26128 ab:aa=1,baabaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26129 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:289,nodes:18,pairs:15,completionMax:34us [11m12s] 26129 ab:aa=1,baabaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26129 ab:aa=1,baabaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26130 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:7,nodes:12,pairs:0,completionMax:4us [11m12s] 26130 ab:aa=1,baabaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26130 ab:aa=1,baabaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26131 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:269,nodes:22,pairs:9,completionMax:34us [11m12s] 26131 ab:aa=1,baababaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26131 ab:aa=1,baababaab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26132 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13299,nodes:86,pairs:91,completionMax:591us [11m12s] 26132 ab:aa=1,baabababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26132 ab:aa=1,baabababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26133 solved: rounds:3,rules:3,peak:5,longest:7,steps:5,word:0,work:241,nodes:16,pairs:9,completionMax:28us [11m12s] 26133 ab:aa=1,baababbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26133 ab:aa=1,baababbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26134 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1190,nodes:40,pairs:19,completionMax:89us [11m12s] 26134 ab:aa=1,baababbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26134 ab:aa=1,baababbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26135 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:12,pairs:0,completionMax:3us [11m12s] 26135 ab:aa=1,baabbaabb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26135 ab:aa=1,baabbaabb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26136 solved: rounds:6,rules:3,peak:11,longest:42,steps:25,word:45,work:10779,nodes:86,pairs:82,completionMax:588us [11m12s] 26136 ab:aa=1,baabbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26136 ab:aa=1,baabbabab=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26137 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:544,nodes:32,pairs:12,completionMax:46us [11m12s] 26137 ab:aa=1,baabbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26137 ab:aa=1,baabbabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26138 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:12,pairs:0,completionMax:4us [11m12s] 26138 ab:aa=1,baabbbaab=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26138 ab:aa=1,baabbbaab=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26139 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:10,work:3290,nodes:60,pairs:33,completionMax:188us [11m12s] 26139 ab:aa=1,baabbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26139 ab:aa=1,baabbbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26140 solved: rounds:4,rules:2,peak:9,longest:21,steps:7,word:10,work:4800,nodes:56,pairs:36,completionMax:233us [11m12s] 26140 ab:aa=1,baabbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26140 ab:aa=1,baabbbbab=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26141 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:3,nodes:16,pairs:0,completionMax:3us [11m12s] 26141 ab:aa=1,baabbbbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26141 ab:aa=1,baabbbbbb=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26142 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:345,nodes:24,pairs:10,completionMax:41us [11m12s] 26142 ab:aa=1,babaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26142 ab:aa=1,babaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26143 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:215,nodes:18,pairs:7,completionMax:27us [11m12s] 26143 ab:aa=1,babaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26143 ab:aa=1,babaaabab=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26144 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12625,nodes:86,pairs:92,completionMax:597us [11m12s] 26144 ab:aa=1,babaaabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26144 ab:aa=1,babaaabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26145 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:323,nodes:16,pairs:6,completionMax:23us [11m12s] 26145 ab:aa=1,babaababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26145 ab:aa=1,babaababb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26146 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2496,nodes:38,pairs:63,completionMax:206us [11m12s] 26146 ab:aa=1,babaabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26146 ab:aa=1,babaabbab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26147 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:682,nodes:40,pairs:20,completionMax:85us [11m12s] 26147 ab:aa=1,babaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26147 ab:aa=1,babaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26148 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12627,nodes:86,pairs:92,completionMax:610us [11m12s] 26148 ab:aa=1,bababaabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26148 ab:aa=1,bababaabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26149 solved: rounds:2,rules:3,peak:3,longest:9,steps:12,word:0,work:486,nodes:20,pairs:9,completionMax:25us [11m12s] 26149 ab:aa=1,babababab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26149 ab:aa=1,babababab=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26150 solved: rounds:6,rules:5,peak:29,longest:31,steps:17,word:17,work:195626,nodes:268,pairs:676,completionMax:9276us [11m12s] 26150 ab:aa=1,babababbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26150 ab:aa=1,babababbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26151 solved: rounds:4,rules:6,peak:23,longest:15,steps:10,word:10,work:67433,nodes:156,pairs:607,completionMax:6825us [11m12s] 26151 ab:aa=1,bababbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=babbbbbb,abba=bbbabbbbb,abbba=bbabbbbbbb [11m12s] from: 26151 ab:aa=1,bababbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26152 solved: rounds:4,rules:6,peak:25,longest:19,steps:12,word:10,work:57129,nodes:148,pairs:406,completionMax:6669us [11m12s] 26152 ab:aa=1,bababbbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26152 ab:aa=1,bababbbab=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26153 solved: rounds:6,rules:8,peak:21,longest:14,steps:9,word:0,work:41041,nodes:126,pairs:139,completionMax:1376us [11m12s] 26153 ab:aa=1,bababbbbb=1 finite:70;center:1,abab,bbbbb,abbabb,abbbabbb,abbbbabbbb,bbbbbbbbbb;group:a-a,b-ababbbbb ab - - ab:aa=1,baba=abab,babba=abbab,babbba=abbbab,bbbbba=abbbbb,babbbba=abbbbab,babbbbbb=a,bbbbbbbbbbb=abbbba [11m12s] from: 26153 ab:aa=1,bababbbbb=1 finite:70;center:1,abab,bbbbb,abbabb,abbbabbb,abbbbabbbb,bbbbbbbbbb;group:a-a,b-ababbbbb to: 26109 ab:aa=1,abbbbbbab=1 finite:70;center:1,abab,bbbbb,abbabb,abbbabbb,abbbbabbbb,bbbbbbbbbb;group:a-a,b-ababbbbb a=a,b=b [11m12s] # 26154 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:324,nodes:16,pairs:6,completionMax:26us [11m12s] 26154 ab:aa=1,babbaaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26154 ab:aa=1,babbaaabb=1 finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26155 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:683,nodes:40,pairs:20,completionMax:68us [11m12s] 26155 ab:aa=1,babbaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26155 ab:aa=1,babbaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26156 solved: rounds:4,rules:6,peak:25,longest:14,steps:10,word:10,work:60112,nodes:138,pairs:537,completionMax:5810us [11m12s] 26156 ab:aa=1,babbababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26156 ab:aa=1,babbababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26157 solved: rounds:2,rules:5,peak:8,longest:9,steps:4,word:2,work:679,nodes:66,pairs:11,completionMax:71us [11m12s] 26157 ab:aa=1,babbabbab=1 infinite;group:a-a,b-bacaca,c-acaca ac/b bb=c frequency:2/2 abc:aa=1,cacac=a,cb=bc,cacab=abacaca,bb=c [11m12s] from: 26157 ab:aa=1,babbabbab=1 infinite;group:a-a,b-bacaca,c-acaca to: 26090 ab:aa=1,abbabbabb=1 infinite;group:a-a,b-bacaca,c-acaca a=a,b=b,c=c [11m12s] # 26158 solved: rounds:4,rules:3,peak:12,longest:21,steps:28,word:21,work:19755,nodes:128,pairs:50,completionMax:734us [11m12s] 26158 ab:aa=1,babbabbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] from: 26158 ab:aa=1,babbabbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26159 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:684,nodes:40,pairs:20,completionMax:101us [11m12s] 26159 ab:aa=1,babbbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26159 ab:aa=1,babbbaabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26160 solved: rounds:3,rules:3,peak:4,longest:9,steps:12,word:0,work:707,nodes:20,pairs:10,completionMax:44us [11m12s] 26160 ab:aa=1,babbbabbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26160 ab:aa=1,babbbabbb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26161 solved: rounds:3,rules:3,peak:12,longest:11,steps:9,word:0,work:8559,nodes:82,pairs:71,completionMax:427us [11m12s] 26161 ab:aa=1,babbbbabb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26161 ab:aa=1,babbbbabb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26162 solved: rounds:3,rules:3,peak:11,longest:23,steps:15,word:21,work:20080,nodes:106,pairs:54,completionMax:782us [11m12s] 26162 ab:aa=1,babbbbbab=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] from: 26162 ab:aa=1,babbbbbab=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26163 solved: rounds:3,rules:2,peak:5,longest:16,steps:9,word:7,work:1129,nodes:56,pairs:26,completionMax:105us [11m12s] 26163 ab:aa=1,babbbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26163 ab:aa=1,babbbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26164 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:268,nodes:22,pairs:9,completionMax:36us [11m12s] 26164 ab:aa=1,bbaaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26164 ab:aa=1,bbaaaaabb=1 finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26165 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:12,pairs:0,completionMax:3us [11m12s] 26165 ab:aa=1,bbaaaabbb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26165 ab:aa=1,bbaaaabbb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26166 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13300,nodes:86,pairs:91,completionMax:635us [11m12s] 26166 ab:aa=1,bbaaababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26166 ab:aa=1,bbaaababb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26167 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1191,nodes:40,pairs:19,completionMax:91us [11m12s] 26167 ab:aa=1,bbaaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26167 ab:aa=1,bbaaabbbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26168 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:12,pairs:0,completionMax:4us [11m12s] 26168 ab:aa=1,bbaabaabb=1 infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26168 ab:aa=1,bbaabaabb=1 infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26169 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:545,nodes:32,pairs:12,completionMax:46us [11m12s] 26169 ab:aa=1,bbaababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26169 ab:aa=1,bbaababbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26170 solved: rounds:3,rules:2,peak:8,longest:21,steps:7,word:10,work:3291,nodes:60,pairs:33,completionMax:183us [11m12s] 26170 ab:aa=1,bbaabbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26170 ab:aa=1,bbaabbabb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26171 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:4,nodes:16,pairs:0,completionMax:4us [11m12s] 26171 ab:aa=1,bbaabbbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26171 ab:aa=1,bbaabbbbb=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26172 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1193,nodes:40,pairs:19,completionMax:84us [11m12s] 26172 ab:aa=1,bbabaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26172 ab:aa=1,bbabaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26173 solved: rounds:5,rules:5,peak:30,longest:30,steps:18,word:17,work:219329,nodes:210,pairs:1075,completionMax:11486us [11m12s] 26173 ab:aa=1,bbabababb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26173 ab:aa=1,bbabababb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26174 solved: rounds:7,rules:3,peak:16,longest:59,steps:63,word:84,work:78748,nodes:246,pairs:219,completionMax:4545us [11m12s] 26174 ab:aa=1,bbababbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aa=1 [11m12s] from: 26174 ab:aa=1,bbababbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 26073 ab:aa=1,ababbbbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26175 solved: rounds:4,rules:3,peak:21,longest:27,steps:28,word:40,work:83768,nodes:154,pairs:220,completionMax:2760us [11m12s] 26175 ab:aa=1,bbabbabbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] from: 26175 ab:aa=1,bbabbabbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26176 solved: rounds:3,rules:3,peak:11,longest:10,steps:10,word:0,work:6244,nodes:60,pairs:55,completionMax:266us [11m12s] 26176 ab:aa=1,bbabbbabb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26176 ab:aa=1,bbabbbabb=1 finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26177 solved: rounds:3,rules:2,peak:6,longest:16,steps:6,word:7,work:2262,nodes:60,pairs:31,completionMax:157us [11m12s] 26177 ab:aa=1,bbabbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26177 ab:aa=1,bbabbbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26178 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:546,nodes:32,pairs:12,completionMax:58us [11m12s] 26178 ab:aa=1,bbbaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26178 ab:aa=1,bbbaaabbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26179 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:5,nodes:16,pairs:0,completionMax:6us [11m12s] 26179 ab:aa=1,bbbaabbbb=1 infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26179 ab:aa=1,bbbaabbbb=1 infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26180 solved: rounds:6,rules:3,peak:18,longest:35,steps:29,word:49,work:34142,nodes:102,pairs:103,completionMax:1213us [11m12s] 26180 ab:aa=1,bbbababbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aa=1 [11m12s] from: 26180 ab:aa=1,bbbababbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 26073 ab:aa=1,ababbbbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26181 solved: rounds:3,rules:2,peak:6,longest:16,steps:5,word:7,work:1812,nodes:50,pairs:22,completionMax:90us [11m12s] 26181 ab:aa=1,bbbabbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26181 ab:aa=1,bbbabbbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26182 solved: rounds:2,rules:2,peak:5,longest:16,steps:6,word:7,work:970,nodes:42,pairs:15,completionMax:78us [11m12s] 26182 ab:aa=1,bbbbabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26182 ab:aa=1,bbbbabbbb=1 finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26183 solved: rounds:0,rules:2,peak:2,longest:9,steps:0,word:0,work:0,nodes:20,pairs:0,completionMax:6us [11m12s] 26183 ab:aa=1,bbbbbbbbb=1 infinite;group:a-a,b-bbbbbbbb ab - - ab:aa=1,bbbbbbbbb=1 [11m12s] # 26184 solved: rounds:1,rules:2,peak:3,longest:9,steps:1,word:0,work:9,nodes:18,pairs:1,completionMax:11us [11m12s] 26184 ab:ab=1,aaaaaaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a a/b - - ab:aaaaaaaaa=1,b=aaaaaaaa [11m12s] from: 26184 ab:ab=1,aaaaaaaaa=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaaa,b=a [11m12s] # 26185 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:16,nodes:14,pairs:1,completionMax:9us [11m12s] 26185 ab:ab=1,aaaaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26185 ab:ab=1,aaaaaaaab=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26186 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:15,nodes:14,pairs:1,completionMax:7us [11m12s] 26186 ab:ab=1,aaaaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26186 ab:ab=1,aaaaaaaba=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26187 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:20,nodes:10,pairs:1,completionMax:8us [11m12s] 26187 ab:ab=1,aaaaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26187 ab:ab=1,aaaaaaabb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26188 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:14,nodes:14,pairs:1,completionMax:9us [11m12s] 26188 ab:ab=1,aaaaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26188 ab:ab=1,aaaaaabaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26189 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:19,nodes:10,pairs:1,completionMax:10us [11m12s] 26189 ab:ab=1,aaaaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26189 ab:ab=1,aaaaaabab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26190 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:18,nodes:10,pairs:1,completionMax:9us [11m12s] 26190 ab:ab=1,aaaaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26190 ab:ab=1,aaaaaabba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26191 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:21,nodes:6,pairs:1,completionMax:3us [11m12s] 26191 ab:ab=1,aaaaaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26191 ab:ab=1,aaaaaabbb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26192 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:13,nodes:14,pairs:1,completionMax:5us [11m12s] 26192 ab:ab=1,aaaaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26192 ab:ab=1,aaaaabaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26193 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:18,nodes:10,pairs:1,completionMax:4us [11m12s] 26193 ab:ab=1,aaaaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26193 ab:ab=1,aaaaabaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26194 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:7us [11m12s] 26194 ab:ab=1,aaaaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26194 ab:ab=1,aaaaababa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26195 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:20,nodes:6,pairs:1,completionMax:6us [11m12s] 26195 ab:ab=1,aaaaababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26195 ab:ab=1,aaaaababb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26196 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:7us [11m12s] 26196 ab:ab=1,aaaaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26196 ab:ab=1,aaaaabbaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26197 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:19,nodes:6,pairs:1,completionMax:7us [11m12s] 26197 ab:ab=1,aaaaabbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26197 ab:ab=1,aaaaabbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26198 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:18,nodes:6,pairs:1,completionMax:6us [11m12s] 26198 ab:ab=1,aaaaabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26198 ab:ab=1,aaaaabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26199 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:18,nodes:4,pairs:1,completionMax:2us [11m12s] 26199 ab:ab=1,aaaaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26199 ab:ab=1,aaaaabbbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26200 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:12,nodes:14,pairs:1,completionMax:11us [11m12s] 26200 ab:ab=1,aaaabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26200 ab:ab=1,aaaabaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26201 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:17,nodes:10,pairs:1,completionMax:6us [11m12s] 26201 ab:ab=1,aaaabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26201 ab:ab=1,aaaabaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26202 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:7us [11m12s] 26202 ab:ab=1,aaaabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26202 ab:ab=1,aaaabaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26203 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:19,nodes:6,pairs:1,completionMax:5us [11m12s] 26203 ab:ab=1,aaaabaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26203 ab:ab=1,aaaabaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26204 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:7us [11m12s] 26204 ab:ab=1,aaaababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26204 ab:ab=1,aaaababaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26205 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:18,nodes:6,pairs:1,completionMax:5us [11m12s] 26205 ab:ab=1,aaaababab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26205 ab:ab=1,aaaababab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26206 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:17,nodes:6,pairs:1,completionMax:4us [11m12s] 26206 ab:ab=1,aaaababba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26206 ab:ab=1,aaaababba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26207 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:17,nodes:4,pairs:1,completionMax:2us [11m12s] 26207 ab:ab=1,aaaababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26207 ab:ab=1,aaaababbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26208 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:5us [11m12s] 26208 ab:ab=1,aaaabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26208 ab:ab=1,aaaabbaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26209 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:17,nodes:6,pairs:1,completionMax:3us [11m12s] 26209 ab:ab=1,aaaabbaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26209 ab:ab=1,aaaabbaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26210 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:16,nodes:6,pairs:1,completionMax:3us [11m12s] 26210 ab:ab=1,aaaabbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26210 ab:ab=1,aaaabbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26211 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:1,completionMax:3us [11m12s] 26211 ab:ab=1,aaaabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26211 ab:ab=1,aaaabbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26212 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:6us [11m12s] 26212 ab:ab=1,aaaabbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26212 ab:ab=1,aaaabbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26213 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:15,nodes:4,pairs:1,completionMax:2us [11m12s] 26213 ab:ab=1,aaaabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26213 ab:ab=1,aaaabbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26214 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:2us [11m12s] 26214 ab:ab=1,aaaabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26214 ab:ab=1,aaaabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26215 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:11,nodes:14,pairs:1,completionMax:6us [11m12s] 26215 ab:ab=1,aaabaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26215 ab:ab=1,aaabaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26216 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:16,nodes:10,pairs:1,completionMax:6us [11m12s] 26216 ab:ab=1,aaabaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26216 ab:ab=1,aaabaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26217 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:9us [11m12s] 26217 ab:ab=1,aaabaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26217 ab:ab=1,aaabaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26218 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:18,nodes:6,pairs:1,completionMax:6us [11m12s] 26218 ab:ab=1,aaabaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26218 ab:ab=1,aaabaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26219 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:6us [11m12s] 26219 ab:ab=1,aaabaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26219 ab:ab=1,aaabaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26220 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:17,nodes:6,pairs:1,completionMax:5us [11m12s] 26220 ab:ab=1,aaabaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26220 ab:ab=1,aaabaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26221 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:16,nodes:6,pairs:1,completionMax:3us [11m12s] 26221 ab:ab=1,aaabaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26221 ab:ab=1,aaabaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26222 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:16,nodes:4,pairs:1,completionMax:2us [11m12s] 26222 ab:ab=1,aaabaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26222 ab:ab=1,aaabaabbb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26223 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:4us [11m12s] 26223 ab:ab=1,aaababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26223 ab:ab=1,aaababaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26224 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:16,nodes:6,pairs:1,completionMax:4us [11m12s] 26224 ab:ab=1,aaababaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26224 ab:ab=1,aaababaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26225 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:6us [11m12s] 26225 ab:ab=1,aaabababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26225 ab:ab=1,aaabababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26226 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:15,nodes:4,pairs:1,completionMax:2us [11m12s] 26226 ab:ab=1,aaabababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26226 ab:ab=1,aaabababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26227 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:5us [11m12s] 26227 ab:ab=1,aaababbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26227 ab:ab=1,aaababbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26228 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:5us [11m12s] 26228 ab:ab=1,aaababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26228 ab:ab=1,aaababbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26229 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:2us [11m12s] 26229 ab:ab=1,aaababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26229 ab:ab=1,aaababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26230 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:11us [11m12s] 26230 ab:ab=1,aaabbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26230 ab:ab=1,aaabbaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26231 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:3us [11m12s] 26231 ab:ab=1,aaabbaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26231 ab:ab=1,aaabbaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26232 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:2us [11m12s] 26232 ab:ab=1,aaabbaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26232 ab:ab=1,aaabbaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26233 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:1us [11m12s] 26233 ab:ab=1,aaabbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26233 ab:ab=1,aaabbaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26234 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:3us [11m12s] 26234 ab:ab=1,aaabbabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26234 ab:ab=1,aaabbabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26235 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:2us [11m12s] 26235 ab:ab=1,aaabbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26235 ab:ab=1,aaabbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26236 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:1us [11m12s] 26236 ab:ab=1,aaabbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26236 ab:ab=1,aaabbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26237 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 26237 ab:ab=1,aaabbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26237 ab:ab=1,aaabbbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26238 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:4us [11m12s] 26238 ab:ab=1,aaabbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26238 ab:ab=1,aaabbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26239 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:1us [11m12s] 26239 ab:ab=1,aaabbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26239 ab:ab=1,aaabbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26240 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:1us [11m12s] 26240 ab:ab=1,aaabbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26240 ab:ab=1,aaabbbabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26241 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:17us [11m12s] 26241 ab:ab=1,aaabbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26241 ab:ab=1,aaabbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26242 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:3us [11m12s] 26242 ab:ab=1,aaabbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26242 ab:ab=1,aaabbbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26243 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:12us [11m12s] 26243 ab:ab=1,aaabbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26243 ab:ab=1,aaabbbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26244 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:10,nodes:14,pairs:1,completionMax:7us [11m12s] 26244 ab:ab=1,aabaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26244 ab:ab=1,aabaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26245 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:15,nodes:10,pairs:1,completionMax:5us [11m12s] 26245 ab:ab=1,aabaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26245 ab:ab=1,aabaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26246 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:4us [11m12s] 26246 ab:ab=1,aabaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26246 ab:ab=1,aabaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26247 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:17,nodes:6,pairs:1,completionMax:6us [11m12s] 26247 ab:ab=1,aabaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26247 ab:ab=1,aabaaaabb=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26248 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:5us [11m12s] 26248 ab:ab=1,aabaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26248 ab:ab=1,aabaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26249 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:16,nodes:6,pairs:1,completionMax:3us [11m12s] 26249 ab:ab=1,aabaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26249 ab:ab=1,aabaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26250 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:3us [11m12s] 26250 ab:ab=1,aabaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26250 ab:ab=1,aabaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26251 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:4us [11m12s] 26251 ab:ab=1,aabaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26251 ab:ab=1,aabaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26252 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:3us [11m12s] 26252 ab:ab=1,aabaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26252 ab:ab=1,aabaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26253 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:3us [11m12s] 26253 ab:ab=1,aabaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26253 ab:ab=1,aabaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26254 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:3us [11m12s] 26254 ab:ab=1,aabaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26254 ab:ab=1,aabaababb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26255 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:4us [11m12s] 26255 ab:ab=1,aabaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26255 ab:ab=1,aabaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26256 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:2us [11m12s] 26256 ab:ab=1,aabaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26256 ab:ab=1,aabaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26257 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 26257 ab:ab=1,aabaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26257 ab:ab=1,aabaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26258 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:5us [11m12s] 26258 ab:ab=1,aababaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26258 ab:ab=1,aababaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26259 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 26259 ab:ab=1,aababaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26259 ab:ab=1,aababaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26260 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:3us [11m12s] 26260 ab:ab=1,aababaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26260 ab:ab=1,aababaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26261 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:3us [11m12s] 26261 ab:ab=1,aababaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26261 ab:ab=1,aababaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26262 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:5us [11m12s] 26262 ab:ab=1,aabababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26262 ab:ab=1,aabababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26263 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 26263 ab:ab=1,aabababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26263 ab:ab=1,aabababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26264 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:3us [11m12s] 26264 ab:ab=1,aabababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26264 ab:ab=1,aabababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26265 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:3us [11m12s] 26265 ab:ab=1,aababbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26265 ab:ab=1,aababbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26266 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 26266 ab:ab=1,aababbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26266 ab:ab=1,aababbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26267 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 26267 ab:ab=1,aababbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26267 ab:ab=1,aababbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26268 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:19us [11m12s] 26268 ab:ab=1,aababbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26268 ab:ab=1,aababbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26269 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:1us [11m12s] 26269 ab:ab=1,aababbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26269 ab:ab=1,aababbbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26270 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:13us [11m12s] 26270 ab:ab=1,aababbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26270 ab:ab=1,aababbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26271 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:6us [11m12s] 26271 ab:ab=1,aabbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26271 ab:ab=1,aabbaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26272 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:3us [11m12s] 26272 ab:ab=1,aabbaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26272 ab:ab=1,aabbaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26273 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 26273 ab:ab=1,aabbaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26273 ab:ab=1,aabbaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26274 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:3us [11m12s] 26274 ab:ab=1,aabbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26274 ab:ab=1,aabbaaabb=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26275 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m12s] 26275 ab:ab=1,aabbaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26275 ab:ab=1,aabbaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26276 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:1us [11m12s] 26276 ab:ab=1,aabbaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26276 ab:ab=1,aabbaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26277 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 26277 ab:ab=1,aabbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26277 ab:ab=1,aabbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26278 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:2us [11m12s] 26278 ab:ab=1,aabbabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26278 ab:ab=1,aabbabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26279 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 26279 ab:ab=1,aabbabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26279 ab:ab=1,aabbabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26280 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:1us [11m12s] 26280 ab:ab=1,aabbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26280 ab:ab=1,aabbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26281 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:12us [11m12s] 26281 ab:ab=1,aabbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26281 ab:ab=1,aabbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26282 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 26282 ab:ab=1,aabbabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26282 ab:ab=1,aabbabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26283 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:18us [11m12s] 26283 ab:ab=1,aabbabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26283 ab:ab=1,aabbabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26284 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:98,nodes:16,pairs:10,completionMax:26us [11m12s] 26284 ab:ab=1,aabbbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26284 ab:ab=1,aabbbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26285 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:18us [11m12s] 26285 ab:ab=1,aabbbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26285 ab:ab=1,aabbbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26286 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:12us [11m12s] 26286 ab:ab=1,aabbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26286 ab:ab=1,aabbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26287 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:19us [11m12s] 26287 ab:ab=1,aabbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26287 ab:ab=1,aabbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26288 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:4us [11m12s] 26288 ab:ab=1,aabbbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26288 ab:ab=1,aabbbabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26289 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:17us [11m12s] 26289 ab:ab=1,aabbbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26289 ab:ab=1,aabbbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26290 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:116,nodes:16,pairs:21,completionMax:45us [11m12s] 26290 ab:ab=1,aabbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26290 ab:ab=1,aabbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26291 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:13us [11m12s] 26291 ab:ab=1,aabbbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26291 ab:ab=1,aabbbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26292 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:15us [11m12s] 26292 ab:ab=1,aabbbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26292 ab:ab=1,aabbbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26293 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:80,nodes:14,pairs:8,completionMax:28us [11m12s] 26293 ab:ab=1,aabbbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26293 ab:ab=1,aabbbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26294 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:1,work:35,nodes:8,pairs:5,completionMax:14us [11m12s] 26294 ab:ab=1,aabbbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26294 ab:ab=1,aabbbbbab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26295 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:203,nodes:12,pairs:10,completionMax:46us [11m12s] 26295 ab:ab=1,aabbbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26295 ab:ab=1,aabbbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26296 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:9,nodes:14,pairs:1,completionMax:8us [11m12s] 26296 ab:ab=1,abaaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26296 ab:ab=1,abaaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26297 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:14,nodes:10,pairs:1,completionMax:5us [11m12s] 26297 ab:ab=1,abaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26297 ab:ab=1,abaaaaaab=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26298 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:5us [11m12s] 26298 ab:ab=1,abaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26298 ab:ab=1,abaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26299 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:5us [11m12s] 26299 ab:ab=1,abaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26299 ab:ab=1,abaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26300 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:4us [11m12s] 26300 ab:ab=1,abaaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26300 ab:ab=1,abaaaabab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26301 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 26301 ab:ab=1,abaaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26301 ab:ab=1,abaaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26302 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:5us [11m12s] 26302 ab:ab=1,abaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26302 ab:ab=1,abaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26303 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 26303 ab:ab=1,abaaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26303 ab:ab=1,abaaabaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26304 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:5us [11m12s] 26304 ab:ab=1,abaaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26304 ab:ab=1,abaaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26305 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:5us [11m12s] 26305 ab:ab=1,abaaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26305 ab:ab=1,abaaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26306 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:3us [11m12s] 26306 ab:ab=1,abaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26306 ab:ab=1,abaaabbab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26307 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:3us [11m12s] 26307 ab:ab=1,abaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26307 ab:ab=1,abaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26308 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:5us [11m12s] 26308 ab:ab=1,abaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26308 ab:ab=1,abaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26309 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:3us [11m12s] 26309 ab:ab=1,abaabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26309 ab:ab=1,abaabaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26310 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:3us [11m12s] 26310 ab:ab=1,abaabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26310 ab:ab=1,abaabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26311 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:3us [11m12s] 26311 ab:ab=1,abaababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26311 ab:ab=1,abaababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26312 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 26312 ab:ab=1,abaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26312 ab:ab=1,abaababab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26313 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 26313 ab:ab=1,abaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26313 ab:ab=1,abaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26314 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:3us [11m12s] 26314 ab:ab=1,abaabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26314 ab:ab=1,abaabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26315 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 26315 ab:ab=1,abaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26315 ab:ab=1,abaabbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26316 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:1us [11m12s] 26316 ab:ab=1,abaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26316 ab:ab=1,abaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26317 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:14us [11m12s] 26317 ab:ab=1,abaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26317 ab:ab=1,abaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26318 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:19us [11m12s] 26318 ab:ab=1,abaabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26318 ab:ab=1,abaabbbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26319 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:5us [11m12s] 26319 ab:ab=1,ababaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26319 ab:ab=1,ababaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26320 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 26320 ab:ab=1,ababaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26320 ab:ab=1,ababaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26321 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:5us [11m12s] 26321 ab:ab=1,ababaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26321 ab:ab=1,ababaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26322 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:3us [11m12s] 26322 ab:ab=1,ababaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26322 ab:ab=1,ababaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26323 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 26323 ab:ab=1,ababaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26323 ab:ab=1,ababaabab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26324 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 26324 ab:ab=1,ababaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26324 ab:ab=1,ababaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26325 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:3us [11m12s] 26325 ab:ab=1,abababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26325 ab:ab=1,abababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26326 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:3us [11m12s] 26326 ab:ab=1,abababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26326 ab:ab=1,abababaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26327 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:8,nodes:4,pairs:1,completionMax:2us [11m12s] 26327 ab:ab=1,ababababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26327 ab:ab=1,ababababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26328 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:41,nodes:8,pairs:8,completionMax:18us [11m12s] 26328 ab:ab=1,abababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26328 ab:ab=1,abababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26329 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:41,nodes:8,pairs:8,completionMax:19us [11m12s] 26329 ab:ab=1,abababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26329 ab:ab=1,abababbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26330 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:97,nodes:16,pairs:10,completionMax:28us [11m12s] 26330 ab:ab=1,ababbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26330 ab:ab=1,ababbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26331 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:17us [11m12s] 26331 ab:ab=1,ababbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26331 ab:ab=1,ababbaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26332 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:12us [11m12s] 26332 ab:ab=1,ababbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26332 ab:ab=1,ababbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26333 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:11us [11m12s] 26333 ab:ab=1,ababbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26333 ab:ab=1,ababbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26334 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:13us [11m12s] 26334 ab:ab=1,ababbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26334 ab:ab=1,ababbabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26335 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:115,nodes:16,pairs:21,completionMax:34us [11m12s] 26335 ab:ab=1,ababbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26335 ab:ab=1,ababbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26336 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:16us [11m12s] 26336 ab:ab=1,ababbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26336 ab:ab=1,ababbbaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26337 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:13us [11m12s] 26337 ab:ab=1,ababbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26337 ab:ab=1,ababbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26338 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:79,nodes:14,pairs:8,completionMax:18us [11m12s] 26338 ab:ab=1,ababbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26338 ab:ab=1,ababbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26339 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:202,nodes:12,pairs:10,completionMax:26us [11m12s] 26339 ab:ab=1,ababbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26339 ab:ab=1,ababbbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26340 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:177,nodes:24,pairs:12,completionMax:38us [11m12s] 26340 ab:ab=1,abbaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26340 ab:ab=1,abbaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26341 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:102,nodes:16,pairs:10,completionMax:26us [11m12s] 26341 ab:ab=1,abbaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26341 ab:ab=1,abbaaaaab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26342 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:101,nodes:16,pairs:10,completionMax:23us [11m12s] 26342 ab:ab=1,abbaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26342 ab:ab=1,abbaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26343 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:100,nodes:16,pairs:10,completionMax:22us [11m12s] 26343 ab:ab=1,abbaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26343 ab:ab=1,abbaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26344 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:18us [11m12s] 26344 ab:ab=1,abbaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26344 ab:ab=1,abbaaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26345 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:99,nodes:16,pairs:10,completionMax:21us [11m12s] 26345 ab:ab=1,abbaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26345 ab:ab=1,abbaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26346 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:13us [11m12s] 26346 ab:ab=1,abbaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26346 ab:ab=1,abbaabaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26347 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:13us [11m12s] 26347 ab:ab=1,abbaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26347 ab:ab=1,abbaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26348 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:13us [11m12s] 26348 ab:ab=1,abbaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26348 ab:ab=1,abbaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26349 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:15us [11m12s] 26349 ab:ab=1,abbaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26349 ab:ab=1,abbaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26350 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:98,nodes:16,pairs:10,completionMax:30us [11m12s] 26350 ab:ab=1,abbabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26350 ab:ab=1,abbabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26351 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:19us [11m12s] 26351 ab:ab=1,abbabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26351 ab:ab=1,abbabaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26352 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:14us [11m12s] 26352 ab:ab=1,abbabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26352 ab:ab=1,abbabaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26353 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:10us [11m12s] 26353 ab:ab=1,abbababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26353 ab:ab=1,abbababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26354 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:9us [11m12s] 26354 ab:ab=1,abbababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26354 ab:ab=1,abbababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26355 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:116,nodes:16,pairs:21,completionMax:32us [11m12s] 26355 ab:ab=1,abbabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26355 ab:ab=1,abbabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26356 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:15us [11m12s] 26356 ab:ab=1,abbabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26356 ab:ab=1,abbabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26357 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:80,nodes:14,pairs:8,completionMax:25us [11m12s] 26357 ab:ab=1,abbabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26357 ab:ab=1,abbabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26358 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:203,nodes:12,pairs:10,completionMax:39us [11m12s] 26358 ab:ab=1,abbabbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26358 ab:ab=1,abbabbbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26359 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:228,nodes:28,pairs:16,completionMax:47us [11m12s] 26359 ab:ab=1,abbbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26359 ab:ab=1,abbbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26360 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:120,nodes:16,pairs:21,completionMax:39us [11m12s] 26360 ab:ab=1,abbbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26360 ab:ab=1,abbbaaaab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26361 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:119,nodes:16,pairs:21,completionMax:34us [11m12s] 26361 ab:ab=1,abbbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26361 ab:ab=1,abbbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26362 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:118,nodes:16,pairs:21,completionMax:44us [11m12s] 26362 ab:ab=1,abbbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26362 ab:ab=1,abbbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26363 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:13us [11m12s] 26363 ab:ab=1,abbbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26363 ab:ab=1,abbbaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26364 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:117,nodes:16,pairs:21,completionMax:31us [11m12s] 26364 ab:ab=1,abbbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26364 ab:ab=1,abbbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26365 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:13us [11m12s] 26365 ab:ab=1,abbbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26365 ab:ab=1,abbbababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26366 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:81,nodes:14,pairs:8,completionMax:23us [11m12s] 26366 ab:ab=1,abbbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26366 ab:ab=1,abbbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26367 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:204,nodes:12,pairs:10,completionMax:48us [11m12s] 26367 ab:ab=1,abbbabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26367 ab:ab=1,abbbabbba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26368 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:203,nodes:22,pairs:21,completionMax:44us [11m12s] 26368 ab:ab=1,abbbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26368 ab:ab=1,abbbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26369 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:83,nodes:14,pairs:8,completionMax:27us [11m12s] 26369 ab:ab=1,abbbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26369 ab:ab=1,abbbbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26370 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:82,nodes:14,pairs:8,completionMax:31us [11m12s] 26370 ab:ab=1,abbbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26370 ab:ab=1,abbbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26371 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:205,nodes:12,pairs:10,completionMax:37us [11m12s] 26371 ab:ab=1,abbbbabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26371 ab:ab=1,abbbbabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26372 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:143,nodes:20,pairs:8,completionMax:30us [11m12s] 26372 ab:ab=1,abbbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26372 ab:ab=1,abbbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26373 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:206,nodes:12,pairs:10,completionMax:39us [11m12s] 26373 ab:ab=1,abbbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26373 ab:ab=1,abbbbbaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26374 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:1,work:208,nodes:18,pairs:8,completionMax:31us [11m12s] 26374 ab:ab=1,abbbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26374 ab:ab=1,abbbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26375 solved: rounds:4,rules:2,peak:6,longest:7,steps:3,word:3,work:403,nodes:16,pairs:23,completionMax:64us [11m12s] 26375 ab:ab=1,abbbbbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26375 ab:ab=1,abbbbbbba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26376 solved: rounds:2,rules:2,peak:5,longest:9,steps:2,word:5,work:281,nodes:32,pairs:14,completionMax:47us [11m12s] 26376 ab:ab=1,baaaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26376 ab:ab=1,baaaaaaaa=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26377 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:183,nodes:24,pairs:12,completionMax:37us [11m12s] 26377 ab:ab=1,baaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26377 ab:ab=1,baaaaaaba=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26378 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:182,nodes:24,pairs:12,completionMax:41us [11m12s] 26378 ab:ab=1,baaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26378 ab:ab=1,baaaaabaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26379 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:106,nodes:16,pairs:10,completionMax:31us [11m12s] 26379 ab:ab=1,baaaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26379 ab:ab=1,baaaaabba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26380 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:181,nodes:24,pairs:12,completionMax:35us [11m12s] 26380 ab:ab=1,baaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26380 ab:ab=1,baaaabaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26381 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:105,nodes:16,pairs:10,completionMax:18us [11m12s] 26381 ab:ab=1,baaaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26381 ab:ab=1,baaaababa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26382 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:104,nodes:16,pairs:10,completionMax:21us [11m12s] 26382 ab:ab=1,baaaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26382 ab:ab=1,baaaabbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26383 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:50,nodes:8,pairs:8,completionMax:12us [11m12s] 26383 ab:ab=1,baaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26383 ab:ab=1,baaaabbba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26384 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:180,nodes:24,pairs:12,completionMax:38us [11m12s] 26384 ab:ab=1,baaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26384 ab:ab=1,baaabaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26385 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:104,nodes:16,pairs:10,completionMax:31us [11m12s] 26385 ab:ab=1,baaabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26385 ab:ab=1,baaabaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26386 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:103,nodes:16,pairs:10,completionMax:25us [11m12s] 26386 ab:ab=1,baaababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26386 ab:ab=1,baaababaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26387 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:49,nodes:8,pairs:8,completionMax:16us [11m12s] 26387 ab:ab=1,baaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26387 ab:ab=1,baaababba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26388 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:102,nodes:16,pairs:10,completionMax:28us [11m12s] 26388 ab:ab=1,baaabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26388 ab:ab=1,baaabbaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26389 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:48,nodes:8,pairs:8,completionMax:14us [11m12s] 26389 ab:ab=1,baaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26389 ab:ab=1,baaabbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26390 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:47,nodes:8,pairs:8,completionMax:14us [11m12s] 26390 ab:ab=1,baaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26390 ab:ab=1,baaabbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26391 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:179,nodes:24,pairs:12,completionMax:41us [11m12s] 26391 ab:ab=1,baabaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26391 ab:ab=1,baabaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26392 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:103,nodes:16,pairs:10,completionMax:21us [11m12s] 26392 ab:ab=1,baabaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26392 ab:ab=1,baabaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26393 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:102,nodes:16,pairs:10,completionMax:18us [11m12s] 26393 ab:ab=1,baabaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26393 ab:ab=1,baabaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26394 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:48,nodes:8,pairs:8,completionMax:13us [11m12s] 26394 ab:ab=1,baabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26394 ab:ab=1,baabaabba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26395 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:101,nodes:16,pairs:10,completionMax:22us [11m12s] 26395 ab:ab=1,baababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26395 ab:ab=1,baababaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26396 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:47,nodes:8,pairs:8,completionMax:9us [11m12s] 26396 ab:ab=1,baabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26396 ab:ab=1,baabababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26397 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:13us [11m12s] 26397 ab:ab=1,baababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26397 ab:ab=1,baababbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26398 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:100,nodes:16,pairs:10,completionMax:19us [11m12s] 26398 ab:ab=1,baabbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26398 ab:ab=1,baabbaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26399 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:10us [11m12s] 26399 ab:ab=1,baabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26399 ab:ab=1,baabbaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26400 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:10us [11m12s] 26400 ab:ab=1,baabbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26400 ab:ab=1,baabbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26401 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:118,nodes:16,pairs:21,completionMax:28us [11m12s] 26401 ab:ab=1,baabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26401 ab:ab=1,baabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26402 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:9us [11m12s] 26402 ab:ab=1,baabbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26402 ab:ab=1,baabbbaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26403 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:82,nodes:14,pairs:8,completionMax:29us [11m12s] 26403 ab:ab=1,baabbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26403 ab:ab=1,baabbbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26404 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:178,nodes:24,pairs:12,completionMax:40us [11m12s] 26404 ab:ab=1,babaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26404 ab:ab=1,babaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26405 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:102,nodes:16,pairs:10,completionMax:22us [11m12s] 26405 ab:ab=1,babaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26405 ab:ab=1,babaaaaba=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26406 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:101,nodes:16,pairs:10,completionMax:21us [11m12s] 26406 ab:ab=1,babaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26406 ab:ab=1,babaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26407 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:100,nodes:16,pairs:10,completionMax:18us [11m12s] 26407 ab:ab=1,babaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26407 ab:ab=1,babaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26408 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:46,nodes:8,pairs:8,completionMax:12us [11m12s] 26408 ab:ab=1,babaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26408 ab:ab=1,babaababa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26409 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:19us [11m12s] 26409 ab:ab=1,babaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26409 ab:ab=1,babaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26410 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:99,nodes:16,pairs:10,completionMax:30us [11m12s] 26410 ab:ab=1,bababaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26410 ab:ab=1,bababaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26411 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:45,nodes:8,pairs:8,completionMax:15us [11m12s] 26411 ab:ab=1,bababaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26411 ab:ab=1,bababaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26412 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:15us [11m12s] 26412 ab:ab=1,babababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26412 ab:ab=1,babababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26413 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:117,nodes:16,pairs:21,completionMax:51us [11m12s] 26413 ab:ab=1,bababbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26413 ab:ab=1,bababbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26414 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:81,nodes:14,pairs:8,completionMax:30us [11m12s] 26414 ab:ab=1,bababbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26414 ab:ab=1,bababbbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26415 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:229,nodes:28,pairs:16,completionMax:44us [11m12s] 26415 ab:ab=1,babbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26415 ab:ab=1,babbaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26416 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:120,nodes:16,pairs:21,completionMax:41us [11m12s] 26416 ab:ab=1,babbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26416 ab:ab=1,babbaaaba=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26417 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:119,nodes:16,pairs:21,completionMax:30us [11m12s] 26417 ab:ab=1,babbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26417 ab:ab=1,babbaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26418 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:118,nodes:16,pairs:21,completionMax:22us [11m12s] 26418 ab:ab=1,babbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26418 ab:ab=1,babbabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26419 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:82,nodes:14,pairs:8,completionMax:15us [11m12s] 26419 ab:ab=1,babbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26419 ab:ab=1,babbabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26420 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:204,nodes:22,pairs:21,completionMax:28us [11m12s] 26420 ab:ab=1,babbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26420 ab:ab=1,babbbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26421 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:83,nodes:14,pairs:8,completionMax:17us [11m12s] 26421 ab:ab=1,babbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26421 ab:ab=1,babbbabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26422 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:144,nodes:20,pairs:8,completionMax:20us [11m12s] 26422 ab:ab=1,babbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26422 ab:ab=1,babbbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26423 solved: rounds:2,rules:2,peak:6,longest:7,steps:5,word:1,work:209,nodes:18,pairs:8,completionMax:22us [11m12s] 26423 ab:ab=1,babbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26423 ab:ab=1,babbbbbaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26424 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:3,work:336,nodes:40,pairs:14,completionMax:40us [11m12s] 26424 ab:ab=1,bbaaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26424 ab:ab=1,bbaaaaaaa=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26425 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:233,nodes:28,pairs:16,completionMax:46us [11m12s] 26425 ab:ab=1,bbaaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26425 ab:ab=1,bbaaaabaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26426 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:232,nodes:28,pairs:16,completionMax:40us [11m12s] 26426 ab:ab=1,bbaaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26426 ab:ab=1,bbaaabaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26427 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:122,nodes:16,pairs:21,completionMax:35us [11m12s] 26427 ab:ab=1,bbaaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26427 ab:ab=1,bbaaabbaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26428 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:231,nodes:28,pairs:16,completionMax:41us [11m12s] 26428 ab:ab=1,bbaabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26428 ab:ab=1,bbaabaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26429 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:121,nodes:16,pairs:21,completionMax:33us [11m12s] 26429 ab:ab=1,bbaababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26429 ab:ab=1,bbaababaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26430 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:120,nodes:16,pairs:21,completionMax:27us [11m12s] 26430 ab:ab=1,bbaabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26430 ab:ab=1,bbaabbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26431 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:230,nodes:28,pairs:16,completionMax:38us [11m12s] 26431 ab:ab=1,bbabaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26431 ab:ab=1,bbabaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26432 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:120,nodes:16,pairs:21,completionMax:28us [11m12s] 26432 ab:ab=1,bbabaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26432 ab:ab=1,bbabaabaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26433 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:119,nodes:16,pairs:21,completionMax:26us [11m12s] 26433 ab:ab=1,bbababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26433 ab:ab=1,bbababaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26434 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:205,nodes:22,pairs:21,completionMax:36us [11m12s] 26434 ab:ab=1,bbabbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26434 ab:ab=1,bbabbaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26435 solved: rounds:2,rules:2,peak:7,longest:7,steps:5,word:0,work:145,nodes:20,pairs:8,completionMax:30us [11m12s] 26435 ab:ab=1,bbabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26435 ab:ab=1,bbabbbaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26436 solved: rounds:3,rules:2,peak:7,longest:9,steps:4,word:1,work:327,nodes:34,pairs:19,completionMax:49us [11m12s] 26436 ab:ab=1,bbbaaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26436 ab:ab=1,bbbaaaaaa=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26437 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:207,nodes:22,pairs:21,completionMax:37us [11m12s] 26437 ab:ab=1,bbbaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26437 ab:ab=1,bbbaabaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26438 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:206,nodes:22,pairs:21,completionMax:37us [11m12s] 26438 ab:ab=1,bbbabaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26438 ab:ab=1,bbbabaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26439 solved: rounds:3,rules:2,peak:7,longest:9,steps:7,word:0,work:336,nodes:28,pairs:25,completionMax:54us [11m12s] 26439 ab:ab=1,bbbbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26439 ab:ab=1,bbbbaaaaa=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26440 solved: rounds:0,rules:1,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:0,completionMax:2us [11m12s] 26440 ab:aa=1,aaaaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m12s] from: 26440 ab:aa=1,aaaaaaaa=a infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m12s] # 26441 solved: rounds:0,rules:2,peak:2,longest:2,steps:4,word:0,work:8,nodes:4,pairs:0,completionMax:2us [11m12s] 26441 ab:aa=1,aaaaaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26441 ab:aa=1,aaaaaaaa=b finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26442 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:4us [11m12s] 26442 ab:aa=1,aaaaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26442 ab:aa=1,aaaaaaab=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26443 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:3us [11m12s] 26443 ab:aa=1,aaaaaaab=b infinite ab - - ab:aa=1,ab=b [11m12s] from: 26443 ab:aa=1,aaaaaaab=b infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 26444 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m12s] 26444 ab:aa=1,aaaaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26444 ab:aa=1,aaaaaaba=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26445 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:1us [11m12s] 26445 ab:aa=1,aaaaaaba=b infinite ab - - ab:aa=1,ba=b [11m12s] from: 26445 ab:aa=1,aaaaaaba=b infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 26446 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:16,nodes:8,pairs:2,completionMax:5us [11m12s] 26446 ab:aa=1,aaaaaabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26446 ab:aa=1,aaaaaabb=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26447 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:6,pairs:0,completionMax:2us [11m12s] 26447 ab:aa=1,aaaaaabb=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26447 ab:aa=1,aaaaaabb=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26448 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:4us [11m12s] 26448 ab:aa=1,aaaaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26448 ab:aa=1,aaaaabaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26449 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:0,completionMax:2us [11m12s] 26449 ab:aa=1,aaaaabaa=b infinite ab - - ab:aa=1,ab=b [11m12s] from: 26449 ab:aa=1,aaaaabaa=b infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 26450 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:81,nodes:14,pairs:11,completionMax:17us [11m12s] 26450 ab:aa=1,aaaaabab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26450 ab:aa=1,aaaaabab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26451 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:6,completionMax:10us [11m12s] 26451 ab:aa=1,aaaaabab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 26451 ab:aa=1,aaaaabab=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 26452 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:12,pairs:8,completionMax:13us [11m12s] 26452 ab:aa=1,aaaaabba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26452 ab:aa=1,aaaaabba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26453 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:123,nodes:16,pairs:7,completionMax:16us [11m12s] 26453 ab:aa=1,aaaaabba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26453 ab:aa=1,aaaaabba=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26454 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:6,nodes:12,pairs:1,completionMax:4us [11m12s] 26454 ab:aa=1,aaaaabbb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26454 ab:aa=1,aaaaabbb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26455 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:28,nodes:12,pairs:3,completionMax:12us [11m12s] 26455 ab:aa=1,aaaaabbb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26455 ab:aa=1,aaaaabbb=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26456 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:3us [11m12s] 26456 ab:aa=1,aaaabaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26456 ab:aa=1,aaaabaaa=a finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26457 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:1us [11m12s] 26457 ab:aa=1,aaaabaaa=b infinite ab - - ab:aa=1,ba=b [11m12s] from: 26457 ab:aa=1,aaaabaaa=b infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 26458 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:17,nodes:8,pairs:2,completionMax:8us [11m12s] 26458 ab:aa=1,aaaabaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26458 ab:aa=1,aaaabaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26459 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:6,pairs:0,completionMax:1us [11m12s] 26459 ab:aa=1,aaaabaab=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26459 ab:aa=1,aaaabaab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26460 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:84,nodes:14,pairs:11,completionMax:28us [11m12s] 26460 ab:aa=1,aaaababa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26460 ab:aa=1,aaaababa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26461 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:86,nodes:12,pairs:6,completionMax:15us [11m12s] 26461 ab:aa=1,aaaababa=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 26461 ab:aa=1,aaaababa=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 26462 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:265,nodes:18,pairs:8,completionMax:28us [11m12s] 26462 ab:aa=1,aaaababb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26462 ab:aa=1,aaaababb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26463 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:1us [11m12s] 26463 ab:aa=1,aaaababb=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26463 ab:aa=1,aaaababb=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26464 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:18,nodes:8,pairs:2,completionMax:6us [11m12s] 26464 ab:aa=1,aaaabbaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26464 ab:aa=1,aaaabbaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26465 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:6,pairs:0,completionMax:1us [11m12s] 26465 ab:aa=1,aaaabbaa=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26465 ab:aa=1,aaaabbaa=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26466 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:207,nodes:18,pairs:8,completionMax:30us [11m12s] 26466 ab:aa=1,aaaabbab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26466 ab:aa=1,aaaabbab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26467 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 26467 ab:aa=1,aaaabbab=b infinite ab - - ab:aa=1,bbab=b [11m12s] from: 26467 ab:aa=1,aaaabbab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 26468 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:6,nodes:10,pairs:1,completionMax:5us [11m12s] 26468 ab:aa=1,aaaabbba=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26468 ab:aa=1,aaaabbba=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26469 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:2,completionMax:10us [11m12s] 26469 ab:aa=1,aaaabbba=b finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 26469 ab:aa=1,aaaabbba=b finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 26470 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:20,nodes:16,pairs:2,completionMax:11us [11m12s] 26470 ab:aa=1,aaaabbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26470 ab:aa=1,aaaabbbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26471 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 26471 ab:aa=1,aaaabbbb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26471 ab:aa=1,aaaabbbb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26472 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:83,nodes:14,pairs:11,completionMax:25us [11m12s] 26472 ab:aa=1,aaabaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26472 ab:aa=1,aaabaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26473 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:80,nodes:12,pairs:6,completionMax:15us [11m12s] 26473 ab:aa=1,aaabaaab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 26473 ab:aa=1,aaabaaab=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 26474 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:1,work:46,nodes:12,pairs:8,completionMax:18us [11m12s] 26474 ab:aa=1,aaabaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26474 ab:aa=1,aaabaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26475 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:125,nodes:16,pairs:7,completionMax:22us [11m12s] 26475 ab:aa=1,aaabaaba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26475 ab:aa=1,aaabaaba=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26476 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:8,nodes:12,pairs:1,completionMax:6us [11m12s] 26476 ab:aa=1,aaabaabb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26476 ab:aa=1,aaabaabb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26477 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:30,nodes:12,pairs:3,completionMax:12us [11m12s] 26477 ab:aa=1,aaabaabb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26477 ab:aa=1,aaabaabb=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26478 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:85,nodes:14,pairs:11,completionMax:24us [11m12s] 26478 ab:aa=1,aaababaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26478 ab:aa=1,aaababaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26479 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:82,nodes:12,pairs:6,completionMax:15us [11m12s] 26479 ab:aa=1,aaababaa=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 26479 ab:aa=1,aaababaa=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 26480 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:157,nodes:16,pairs:10,completionMax:31us [11m12s] 26480 ab:aa=1,aaababab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26480 ab:aa=1,aaababab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26481 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:230,nodes:16,pairs:11,completionMax:27us [11m12s] 26481 ab:aa=1,aaababab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26481 ab:aa=1,aaababab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26482 solved: rounds:3,rules:3,peak:5,longest:6,steps:5,word:0,work:279,nodes:20,pairs:18,completionMax:47us [11m12s] 26482 ab:aa=1,aaababba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26482 ab:aa=1,aaababba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26483 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:770,nodes:24,pairs:22,completionMax:73us [11m12s] 26483 ab:aa=1,aaababba=b finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 26483 ab:aa=1,aaababba=b finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 26484 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:348,nodes:24,pairs:12,completionMax:43us [11m12s] 26484 ab:aa=1,aaababbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26484 ab:aa=1,aaababbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26485 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:687,nodes:20,pairs:13,completionMax:60us [11m12s] 26485 ab:aa=1,aaababbb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26485 ab:aa=1,aaababbb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26486 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:1,work:47,nodes:12,pairs:8,completionMax:23us [11m12s] 26486 ab:aa=1,aaabbaaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26486 ab:aa=1,aaabbaaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26487 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:126,nodes:16,pairs:7,completionMax:23us [11m12s] 26487 ab:aa=1,aaabbaaa=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26487 ab:aa=1,aaabbaaa=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26488 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:9,nodes:12,pairs:1,completionMax:7us [11m12s] 26488 ab:aa=1,aaabbaab=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26488 ab:aa=1,aaabbaab=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26489 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:31,nodes:12,pairs:3,completionMax:12us [11m12s] 26489 ab:aa=1,aaabbaab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26489 ab:aa=1,aaabbaab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26490 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:245,nodes:20,pairs:16,completionMax:51us [11m12s] 26490 ab:aa=1,aaabbaba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26490 ab:aa=1,aaabbaba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26491 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:765,nodes:24,pairs:22,completionMax:53us [11m12s] 26491 ab:aa=1,aaabbaba=b finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 26491 ab:aa=1,aaabbaba=b finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 26492 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:147,nodes:26,pairs:13,completionMax:29us [11m12s] 26492 ab:aa=1,aaabbabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26492 ab:aa=1,aaabbabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26493 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:349,nodes:20,pairs:7,completionMax:24us [11m12s] 26493 ab:aa=1,aaabbabb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26493 ab:aa=1,aaabbabb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26494 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:12,pairs:1,completionMax:6us [11m12s] 26494 ab:aa=1,aaabbbaa=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26494 ab:aa=1,aaabbbaa=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26495 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:32,nodes:12,pairs:3,completionMax:8us [11m12s] 26495 ab:aa=1,aaabbbaa=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26495 ab:aa=1,aaabbbaa=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26496 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:734,nodes:26,pairs:35,completionMax:113us [11m12s] 26496 ab:aa=1,aaabbbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26496 ab:aa=1,aaabbbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26497 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:122,nodes:20,pairs:6,completionMax:26us [11m12s] 26497 ab:aa=1,aaabbbab=b infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 26497 ab:aa=1,aaabbbab=b infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 26498 solved: rounds:3,rules:2,peak:4,longest:8,steps:1,word:3,work:73,nodes:20,pairs:10,completionMax:23us [11m12s] 26498 ab:aa=1,aaabbbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26498 ab:aa=1,aaabbbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26499 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:699,nodes:64,pairs:8,completionMax:43us [11m12s] 26499 ab:aa=1,aaabbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 26499 ab:aa=1,aaabbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26500 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:4,nodes:20,pairs:1,completionMax:9us [11m12s] 26500 ab:aa=1,aaabbbbb=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26500 ab:aa=1,aaabbbbb=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26501 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:42,nodes:20,pairs:3,completionMax:14us [11m12s] 26501 ab:aa=1,aaabbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26501 ab:aa=1,aaabbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26502 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:18,nodes:8,pairs:2,completionMax:7us [11m12s] 26502 ab:aa=1,aabaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26502 ab:aa=1,aabaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26503 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:6,pairs:0,completionMax:2us [11m12s] 26503 ab:aa=1,aabaaaab=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26503 ab:aa=1,aabaaaab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26504 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:85,nodes:14,pairs:11,completionMax:24us [11m12s] 26504 ab:aa=1,aabaaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26504 ab:aa=1,aabaaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26505 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:87,nodes:12,pairs:6,completionMax:18us [11m12s] 26505 ab:aa=1,aabaaaba=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 26505 ab:aa=1,aabaaaba=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 26506 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:266,nodes:18,pairs:8,completionMax:31us [11m12s] 26506 ab:aa=1,aabaaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26506 ab:aa=1,aabaaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26507 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 26507 ab:aa=1,aabaaabb=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26507 ab:aa=1,aabaaabb=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26508 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:19,nodes:8,pairs:2,completionMax:7us [11m12s] 26508 ab:aa=1,aabaabaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26508 ab:aa=1,aabaabaa=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26509 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:13,nodes:6,pairs:0,completionMax:2us [11m12s] 26509 ab:aa=1,aabaabaa=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26509 ab:aa=1,aabaabaa=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26510 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:208,nodes:18,pairs:8,completionMax:28us [11m12s] 26510 ab:aa=1,aabaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26510 ab:aa=1,aabaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26511 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:1us [11m12s] 26511 ab:aa=1,aabaabab=b infinite ab - - ab:aa=1,bbab=b [11m12s] from: 26511 ab:aa=1,aabaabab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 26512 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:7,nodes:10,pairs:1,completionMax:4us [11m12s] 26512 ab:aa=1,aabaabba=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26512 ab:aa=1,aabaabba=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26513 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:26,nodes:12,pairs:2,completionMax:13us [11m12s] 26513 ab:aa=1,aabaabba=b finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 26513 ab:aa=1,aabaabba=b finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 26514 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:21,nodes:16,pairs:2,completionMax:14us [11m12s] 26514 ab:aa=1,aabaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26514 ab:aa=1,aabaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26515 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:6us [11m12s] 26515 ab:aa=1,aabaabbb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26515 ab:aa=1,aabaabbb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26516 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:268,nodes:18,pairs:8,completionMax:40us [11m12s] 26516 ab:aa=1,aababaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26516 ab:aa=1,aababaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26517 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:2us [11m12s] 26517 ab:aa=1,aababaab=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26517 ab:aa=1,aababaab=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26518 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:140,nodes:18,pairs:9,completionMax:28us [11m12s] 26518 ab:aa=1,aabababa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26518 ab:aa=1,aabababa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26519 solved: rounds:4,rules:3,peak:5,longest:6,steps:4,word:1,work:302,nodes:16,pairs:21,completionMax:52us [11m12s] 26519 ab:aa=1,aabababa=b finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 26519 ab:aa=1,aabababa=b finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 26520 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:6,work:2359,nodes:26,pairs:63,completionMax:288us [11m12s] 26520 ab:aa=1,aabababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26520 ab:aa=1,aabababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26521 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 26521 ab:aa=1,aabababb=b infinite ab - - ab:aa=1,bababb=b [11m12s] from: 26521 ab:aa=1,aabababb=b infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 26522 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:269,nodes:18,pairs:8,completionMax:37us [11m12s] 26522 ab:aa=1,aababbaa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26522 ab:aa=1,aababbaa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26523 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:1us [11m12s] 26523 ab:aa=1,aababbaa=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26523 ab:aa=1,aababbaa=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26524 solved: rounds:3,rules:2,peak:7,longest:15,steps:19,word:9,work:1228,nodes:44,pairs:20,completionMax:73us [11m12s] 26524 ab:aa=1,aababbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26524 ab:aa=1,aababbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26525 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:133,nodes:18,pairs:2,completionMax:11us [11m12s] 26525 ab:aa=1,aababbab=b infinite ab - - ab:aa=1,bbab=babb,bababb=b [11m12s] from: 26525 ab:aa=1,aababbab=b infinite to: 3399 ab:aa=1,babbab=b infinite a=a,b=b [11m12s] # 26526 solved: rounds:3,rules:2,peak:6,longest:8,steps:3,word:6,work:359,nodes:24,pairs:25,completionMax:48us [11m12s] 26526 ab:aa=1,aababbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26526 ab:aa=1,aababbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26527 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:126,nodes:20,pairs:6,completionMax:22us [11m12s] 26527 ab:aa=1,aababbba=b infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 26527 ab:aa=1,aababbba=b infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 26528 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1555,nodes:42,pairs:19,completionMax:84us [11m12s] 26528 ab:aa=1,aababbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26528 ab:aa=1,aababbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26529 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 26529 ab:aa=1,aababbbb=b infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 26529 ab:aa=1,aababbbb=b infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 26530 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:209,nodes:18,pairs:8,completionMax:27us [11m12s] 26530 ab:aa=1,aabbaaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26530 ab:aa=1,aabbaaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26531 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:1us [11m12s] 26531 ab:aa=1,aabbaaab=b infinite ab - - ab:aa=1,bbab=b [11m12s] from: 26531 ab:aa=1,aabbaaab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 26532 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:8,nodes:10,pairs:1,completionMax:5us [11m12s] 26532 ab:aa=1,aabbaaba=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26532 ab:aa=1,aabbaaba=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26533 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:27,nodes:12,pairs:2,completionMax:8us [11m12s] 26533 ab:aa=1,aabbaaba=b finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 26533 ab:aa=1,aabbaaba=b finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 26534 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:22,nodes:16,pairs:2,completionMax:8us [11m12s] 26534 ab:aa=1,aabbaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26534 ab:aa=1,aabbaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26535 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:4us [11m12s] 26535 ab:aa=1,aabbaabb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26535 ab:aa=1,aabbaabb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26536 solved: rounds:3,rules:2,peak:8,longest:9,steps:8,word:6,work:1156,nodes:36,pairs:40,completionMax:138us [11m12s] 26536 ab:aa=1,aabbabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26536 ab:aa=1,aabbabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26537 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 26537 ab:aa=1,aabbabab=b infinite ab - - ab:aa=1,bbabab=b [11m12s] from: 26537 ab:aa=1,aabbabab=b infinite to: 3397 ab:aa=1,bababb=b infinite anti:a=a,b=b [11m12s] # 26538 solved: rounds:2,rules:2,peak:5,longest:8,steps:3,word:6,work:164,nodes:26,pairs:13,completionMax:28us [11m12s] 26538 ab:aa=1,aabbabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26538 ab:aa=1,aabbabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26539 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:389,nodes:18,pairs:8,completionMax:25us [11m12s] 26539 ab:aa=1,aabbabba=b finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 26539 ab:aa=1,aabbabba=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 26540 solved: rounds:3,rules:3,peak:6,longest:7,steps:7,word:0,work:633,nodes:22,pairs:14,completionMax:43us [11m12s] 26540 ab:aa=1,aabbabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26540 ab:aa=1,aabbabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26541 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1004,nodes:26,pairs:7,completionMax:35us [11m12s] 26541 ab:aa=1,aabbabbb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26541 ab:aa=1,aabbabbb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26542 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:23,nodes:16,pairs:2,completionMax:10us [11m12s] 26542 ab:aa=1,aabbbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26542 ab:aa=1,aabbbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26543 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:4us [11m12s] 26543 ab:aa=1,aabbbaab=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26543 ab:aa=1,aabbbaab=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26544 solved: rounds:3,rules:2,peak:5,longest:8,steps:7,word:6,work:253,nodes:22,pairs:8,completionMax:42us [11m12s] 26544 ab:aa=1,aabbbaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26544 ab:aa=1,aabbbaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26545 solved: rounds:4,rules:3,peak:6,longest:6,steps:4,word:0,work:735,nodes:22,pairs:18,completionMax:50us [11m12s] 26545 ab:aa=1,aabbbaba=b finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 26545 ab:aa=1,aabbbaba=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 26546 solved: rounds:3,rules:3,peak:5,longest:6,steps:6,word:0,work:450,nodes:20,pairs:13,completionMax:42us [11m12s] 26546 ab:aa=1,aabbbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26546 ab:aa=1,aabbbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26547 solved: rounds:4,rules:3,peak:5,longest:8,steps:4,word:0,work:825,nodes:30,pairs:10,completionMax:54us [11m12s] 26547 ab:aa=1,aabbbabb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26547 ab:aa=1,aabbbabb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26548 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:24,nodes:16,pairs:2,completionMax:13us [11m12s] 26548 ab:aa=1,aabbbbaa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26548 ab:aa=1,aabbbbaa=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26549 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:5us [11m12s] 26549 ab:aa=1,aabbbbaa=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26549 ab:aa=1,aabbbbaa=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26550 solved: rounds:4,rules:3,peak:8,longest:17,steps:12,word:15,work:3963,nodes:78,pairs:25,completionMax:235us [11m12s] 26550 ab:aa=1,aabbbbab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26550 ab:aa=1,aabbbbab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26551 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 26551 ab:aa=1,aabbbbab=b infinite ab - - ab:aa=1,bbbbab=b [11m12s] from: 26551 ab:aa=1,aabbbbab=b infinite to: 3401 ab:aa=1,babbbb=b infinite anti:a=a,b=b [11m12s] # 26552 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:4,nodes:14,pairs:1,completionMax:10us [11m12s] 26552 ab:aa=1,aabbbbba=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26552 ab:aa=1,aabbbbba=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26553 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:37,nodes:20,pairs:2,completionMax:15us [11m12s] 26553 ab:aa=1,aabbbbba=b finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 26553 ab:aa=1,aabbbbba=b finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 26554 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:24,nodes:24,pairs:2,completionMax:15us [11m12s] 26554 ab:aa=1,aabbbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26554 ab:aa=1,aabbbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26555 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:4us [11m12s] 26555 ab:aa=1,aabbbbbb=b infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 26555 ab:aa=1,aabbbbbb=b infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 26556 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:85,nodes:14,pairs:11,completionMax:28us [11m12s] 26556 ab:aa=1,abaaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26556 ab:aa=1,abaaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26557 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:82,nodes:12,pairs:6,completionMax:20us [11m12s] 26557 ab:aa=1,abaaaaab=b finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 26557 ab:aa=1,abaaaaab=b finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 26558 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:1,work:48,nodes:12,pairs:8,completionMax:21us [11m12s] 26558 ab:aa=1,abaaaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26558 ab:aa=1,abaaaaba=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26559 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:127,nodes:16,pairs:7,completionMax:24us [11m12s] 26559 ab:aa=1,abaaaaba=b finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26559 ab:aa=1,abaaaaba=b finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26560 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:10,nodes:12,pairs:1,completionMax:7us [11m12s] 26560 ab:aa=1,abaaaabb=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26560 ab:aa=1,abaaaabb=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26561 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:32,nodes:12,pairs:3,completionMax:11us [11m12s] 26561 ab:aa=1,abaaaabb=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26561 ab:aa=1,abaaaabb=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26562 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:159,nodes:16,pairs:10,completionMax:29us [11m12s] 26562 ab:aa=1,abaaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26562 ab:aa=1,abaaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26563 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:232,nodes:16,pairs:11,completionMax:26us [11m12s] 26563 ab:aa=1,abaaabab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26563 ab:aa=1,abaaabab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26564 solved: rounds:3,rules:3,peak:5,longest:6,steps:5,word:0,work:281,nodes:20,pairs:18,completionMax:47us [11m12s] 26564 ab:aa=1,abaaabba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26564 ab:aa=1,abaaabba=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26565 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:768,nodes:24,pairs:22,completionMax:74us [11m12s] 26565 ab:aa=1,abaaabba=b finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 26565 ab:aa=1,abaaabba=b finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 26566 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:350,nodes:24,pairs:12,completionMax:45us [11m12s] 26566 ab:aa=1,abaaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26566 ab:aa=1,abaaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26567 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:689,nodes:20,pairs:13,completionMax:62us [11m12s] 26567 ab:aa=1,abaaabbb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26567 ab:aa=1,abaaabbb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26568 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:11,nodes:12,pairs:1,completionMax:7us [11m12s] 26568 ab:aa=1,abaabaab=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26568 ab:aa=1,abaabaab=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26569 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:33,nodes:12,pairs:3,completionMax:11us [11m12s] 26569 ab:aa=1,abaabaab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26569 ab:aa=1,abaabaab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26570 solved: rounds:3,rules:3,peak:5,longest:6,steps:4,word:0,work:247,nodes:20,pairs:16,completionMax:45us [11m12s] 26570 ab:aa=1,abaababa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26570 ab:aa=1,abaababa=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26571 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:767,nodes:24,pairs:22,completionMax:57us [11m12s] 26571 ab:aa=1,abaababa=b finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 26571 ab:aa=1,abaababa=b finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 26572 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:149,nodes:26,pairs:13,completionMax:41us [11m12s] 26572 ab:aa=1,abaababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26572 ab:aa=1,abaababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26573 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:351,nodes:20,pairs:7,completionMax:33us [11m12s] 26573 ab:aa=1,abaababb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26573 ab:aa=1,abaababb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26574 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:736,nodes:26,pairs:35,completionMax:97us [11m12s] 26574 ab:aa=1,abaabbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26574 ab:aa=1,abaabbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26575 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:124,nodes:20,pairs:6,completionMax:23us [11m12s] 26575 ab:aa=1,abaabbab=b infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 26575 ab:aa=1,abaabbab=b infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 26576 solved: rounds:3,rules:2,peak:4,longest:8,steps:1,word:3,work:75,nodes:20,pairs:10,completionMax:26us [11m12s] 26576 ab:aa=1,abaabbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26576 ab:aa=1,abaabbba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26577 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:701,nodes:64,pairs:8,completionMax:59us [11m12s] 26577 ab:aa=1,abaabbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 26577 ab:aa=1,abaabbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26578 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:6,nodes:20,pairs:1,completionMax:9us [11m12s] 26578 ab:aa=1,abaabbbb=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26578 ab:aa=1,abaabbbb=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26579 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:44,nodes:20,pairs:3,completionMax:14us [11m12s] 26579 ab:aa=1,abaabbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26579 ab:aa=1,abaabbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26580 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:161,nodes:16,pairs:10,completionMax:27us [11m12s] 26580 ab:aa=1,ababaaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26580 ab:aa=1,ababaaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26581 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:234,nodes:16,pairs:11,completionMax:30us [11m12s] 26581 ab:aa=1,ababaaab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26581 ab:aa=1,ababaaab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26582 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:352,nodes:24,pairs:12,completionMax:40us [11m12s] 26582 ab:aa=1,ababaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26582 ab:aa=1,ababaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26583 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:691,nodes:20,pairs:13,completionMax:55us [11m12s] 26583 ab:aa=1,ababaabb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26583 ab:aa=1,ababaabb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26584 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:266,nodes:26,pairs:20,completionMax:42us [11m12s] 26584 ab:aa=1,abababab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26584 ab:aa=1,abababab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26585 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:0,work:421,nodes:24,pairs:9,completionMax:29us [11m12s] 26585 ab:aa=1,abababab=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26585 ab:aa=1,abababab=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26586 solved: rounds:4,rules:2,peak:7,longest:8,steps:4,word:6,work:599,nodes:28,pairs:36,completionMax:96us [11m12s] 26586 ab:aa=1,abababba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26586 ab:aa=1,abababba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26587 solved: rounds:4,rules:6,peak:16,longest:16,steps:14,word:12,work:13439,nodes:130,pairs:101,completionMax:692us [11m12s] 26587 ab:aa=1,abababba=b finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,babbbbbbbbb=ba,bbba=abbbbbb,aa=1,baba=ababbbbbbb,babba=abbabbbb [11m12s] # 26588 solved: rounds:8,rules:3,peak:11,longest:42,steps:25,word:45,work:12633,nodes:86,pairs:94,completionMax:781us [11m12s] 26588 ab:aa=1,abababbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26588 ab:aa=1,abababbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26589 solved: rounds:5,rules:3,peak:8,longest:11,steps:12,word:6,work:2398,nodes:48,pairs:23,completionMax:151us [11m12s] 26589 ab:aa=1,abababbb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26589 ab:aa=1,abababbb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26590 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:353,nodes:24,pairs:12,completionMax:47us [11m12s] 26590 ab:aa=1,ababbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26590 ab:aa=1,ababbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26591 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:692,nodes:20,pairs:13,completionMax:57us [11m12s] 26591 ab:aa=1,ababbaab=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26591 ab:aa=1,ababbaab=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26592 solved: rounds:3,rules:2,peak:7,longest:12,steps:20,word:9,work:1970,nodes:52,pairs:34,completionMax:126us [11m12s] 26592 ab:aa=1,ababbaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26592 ab:aa=1,ababbaba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26593 solved: rounds:4,rules:7,peak:20,longest:13,steps:9,word:6,work:26341,nodes:108,pairs:315,completionMax:2270us [11m12s] 26593 ab:aa=1,ababbaba=b finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbba=abbb,aa=1,babba=ababbbbb,bbaba=abbabbbb,bababa=ababab [11m12s] # 26594 solved: rounds:3,rules:3,peak:4,longest:8,steps:9,word:0,work:364,nodes:28,pairs:9,completionMax:32us [11m12s] 26594 ab:aa=1,ababbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26594 ab:aa=1,ababbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26595 solved: rounds:5,rules:3,peak:10,longest:9,steps:6,word:3,work:3308,nodes:48,pairs:42,completionMax:264us [11m12s] 26595 ab:aa=1,ababbabb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26595 ab:aa=1,ababbabb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26596 solved: rounds:3,rules:3,peak:8,longest:8,steps:5,word:0,work:1604,nodes:34,pairs:61,completionMax:254us [11m12s] 26596 ab:aa=1,ababbbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26596 ab:aa=1,ababbbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26597 solved: rounds:4,rules:3,peak:8,longest:9,steps:4,word:6,work:1946,nodes:42,pairs:56,completionMax:433us [11m12s] 26597 ab:aa=1,ababbbab=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26597 ab:aa=1,ababbbab=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26598 solved: rounds:5,rules:3,peak:8,longest:42,steps:31,word:43,work:14281,nodes:144,pairs:48,completionMax:714us [11m12s] 26598 ab:aa=1,ababbbba=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26598 ab:aa=1,ababbbba=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26599 solved: rounds:5,rules:13,peak:28,longest:15,steps:11,word:14,work:65574,nodes:172,pairs:247,completionMax:2888us [11m12s] 26599 ab:aa=1,ababbbba=b finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb reversed:b/a - - ab:bbbbbbbbb=b,bbbbbbbbab=ab,abbbbbbbb=bbbbbbbba,aa=1,aba=babbbb,abbbba=bbbbbbbab,abbbbbbba=bbbbabbbbbbb,abbbab=bbbbbbbabbbbba,abbbbbbab=bbbbabbba,abbabb=bbbbbbabbbbbba,abbbbbabbbb=bbbbbbbabba,abbbbbabba=bbbbbabbbbbab,abbbbbabbba=babbab [11m12s] # 26600 solved: rounds:4,rules:2,peak:5,longest:12,steps:7,word:5,work:690,nodes:40,pairs:22,completionMax:72us [11m12s] 26600 ab:aa=1,ababbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26600 ab:aa=1,ababbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26601 solved: rounds:5,rules:3,peak:8,longest:16,steps:8,word:20,work:3654,nodes:54,pairs:30,completionMax:152us [11m12s] 26601 ab:aa=1,ababbbbb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=abbbbbbbbbbbb,aa=1 [11m12s] # 26602 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:12,nodes:12,pairs:1,completionMax:5us [11m12s] 26602 ab:aa=1,abbaaaab=a infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26602 ab:aa=1,abbaaaab=a infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26603 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:34,nodes:12,pairs:3,completionMax:7us [11m12s] 26603 ab:aa=1,abbaaaab=b finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26603 ab:aa=1,abbaaaab=b finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26604 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:150,nodes:26,pairs:13,completionMax:37us [11m12s] 26604 ab:aa=1,abbaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26604 ab:aa=1,abbaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26605 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:352,nodes:20,pairs:7,completionMax:31us [11m12s] 26605 ab:aa=1,abbaaabb=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26605 ab:aa=1,abbaaabb=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26606 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:737,nodes:26,pairs:35,completionMax:84us [11m12s] 26606 ab:aa=1,abbaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26606 ab:aa=1,abbaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26607 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:125,nodes:20,pairs:6,completionMax:19us [11m12s] 26607 ab:aa=1,abbaabab=b infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 26607 ab:aa=1,abbaabab=b infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 26608 solved: rounds:3,rules:2,peak:4,longest:8,steps:1,word:3,work:76,nodes:20,pairs:10,completionMax:31us [11m12s] 26608 ab:aa=1,abbaabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26608 ab:aa=1,abbaabba=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26609 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:702,nodes:64,pairs:8,completionMax:59us [11m12s] 26609 ab:aa=1,abbaabba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 26609 ab:aa=1,abbaabba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26610 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:7,nodes:20,pairs:1,completionMax:7us [11m12s] 26610 ab:aa=1,abbaabbb=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26610 ab:aa=1,abbaabbb=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26611 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:45,nodes:20,pairs:3,completionMax:17us [11m12s] 26611 ab:aa=1,abbaabbb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26611 ab:aa=1,abbaabbb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26612 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:152,nodes:26,pairs:13,completionMax:39us [11m12s] 26612 ab:aa=1,abbabaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26612 ab:aa=1,abbabaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26613 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:354,nodes:20,pairs:7,completionMax:26us [11m12s] 26613 ab:aa=1,abbabaab=b finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 26613 ab:aa=1,abbabaab=b finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 26614 solved: rounds:5,rules:3,peak:12,longest:42,steps:25,word:45,work:10412,nodes:86,pairs:43,completionMax:428us [11m12s] 26614 ab:aa=1,abbababb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26614 ab:aa=1,abbababb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26615 solved: rounds:3,rules:3,peak:8,longest:9,steps:3,word:6,work:1246,nodes:36,pairs:42,completionMax:131us [11m12s] 26615 ab:aa=1,abbababb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26615 ab:aa=1,abbababb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26616 solved: rounds:3,rules:3,peak:10,longest:8,steps:7,word:0,work:1732,nodes:40,pairs:39,completionMax:133us [11m12s] 26616 ab:aa=1,abbabbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26616 ab:aa=1,abbabbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26617 solved: rounds:2,rules:3,peak:4,longest:9,steps:4,word:9,work:366,nodes:22,pairs:11,completionMax:29us [11m12s] 26617 ab:aa=1,abbabbab=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26617 ab:aa=1,abbabbab=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26618 solved: rounds:4,rules:3,peak:6,longest:8,steps:7,word:0,work:946,nodes:36,pairs:31,completionMax:82us [11m12s] 26618 ab:aa=1,abbabbba=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26618 ab:aa=1,abbabbba=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26619 solved: rounds:4,rules:11,peak:24,longest:14,steps:5,word:6,work:38513,nodes:152,pairs:254,completionMax:2171us [11m12s] 26619 ab:aa=1,abbabbba=b finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,aa=1,aba=bbabbb,abba=babbbbb,abbba=bbbbbbab,abbbba=bbbbabbbb,abbbbba=bbbbbbbabb,abbbbbba=bbbabbbbbbb,abbbbbbba=bbbbbabbbbbb [11m12s] # 26620 solved: rounds:4,rules:2,peak:6,longest:12,steps:5,word:5,work:1217,nodes:40,pairs:22,completionMax:94us [11m12s] 26620 ab:aa=1,abbabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26620 ab:aa=1,abbabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26621 solved: rounds:4,rules:3,peak:9,longest:8,steps:8,word:0,work:2709,nodes:48,pairs:29,completionMax:140us [11m12s] 26621 ab:aa=1,abbabbbb=b finite:22;idempotents:1,bbbbb,abbbbba ab - - ab:aa=1,bab=abb,bbbbbb=b [11m12s] # 26622 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:738,nodes:26,pairs:35,completionMax:100us [11m12s] 26622 ab:aa=1,abbbaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26622 ab:aa=1,abbbaaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26623 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:126,nodes:20,pairs:6,completionMax:24us [11m12s] 26623 ab:aa=1,abbbaaab=b infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 26623 ab:aa=1,abbbaaab=b infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 26624 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:8,nodes:20,pairs:1,completionMax:9us [11m12s] 26624 ab:aa=1,abbbaabb=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26624 ab:aa=1,abbbaabb=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26625 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:46,nodes:20,pairs:3,completionMax:15us [11m12s] 26625 ab:aa=1,abbbaabb=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26625 ab:aa=1,abbbaabb=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26626 solved: rounds:4,rules:3,peak:12,longest:15,steps:25,word:10,work:7126,nodes:42,pairs:70,completionMax:372us [11m12s] 26626 ab:aa=1,abbbabab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26626 ab:aa=1,abbbabab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26627 solved: rounds:4,rules:3,peak:10,longest:10,steps:7,word:6,work:2343,nodes:52,pairs:66,completionMax:243us [11m12s] 26627 ab:aa=1,abbbabab=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26627 ab:aa=1,abbbabab=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26628 solved: rounds:2,rules:2,peak:5,longest:12,steps:2,word:5,work:228,nodes:38,pairs:15,completionMax:61us [11m12s] 26628 ab:aa=1,abbbabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26628 ab:aa=1,abbbabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26629 solved: rounds:2,rules:3,peak:5,longest:8,steps:7,word:0,work:541,nodes:30,pairs:7,completionMax:41us [11m12s] 26629 ab:aa=1,abbbabbb=b finite:22;idempotents:1,bbbbb,abbbbba ab - - ab:aa=1,bab=abb,bbbbbb=b [11m12s] from: 26629 ab:aa=1,abbbabbb=b finite:22;idempotents:1,bbbbb,abbbbba to: 26621 ab:aa=1,abbabbbb=b finite:22;idempotents:1,bbbbb,abbbbba a=a,b=b [11m12s] # 26630 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:9,nodes:20,pairs:1,completionMax:8us [11m12s] 26630 ab:aa=1,abbbbaab=a infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 26630 ab:aa=1,abbbbaab=a infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 26631 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:47,nodes:20,pairs:3,completionMax:15us [11m12s] 26631 ab:aa=1,abbbbaab=b finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 26631 ab:aa=1,abbbbaab=b finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 26632 solved: rounds:3,rules:2,peak:6,longest:12,steps:7,word:5,work:658,nodes:32,pairs:26,completionMax:81us [11m12s] 26632 ab:aa=1,abbbbabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26632 ab:aa=1,abbbbabb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26633 solved: rounds:5,rules:3,peak:5,longest:27,steps:29,word:143,work:7246,nodes:88,pairs:24,completionMax:332us [11m12s] 26633 ab:aa=1,abbbbabb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=abbbbbbbbbbbb,aa=1 [11m12s] from: 26633 ab:aa=1,abbbbabb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba to: 26601 ab:aa=1,ababbbbb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba a=a,b=b [11m12s] # 26634 solved: rounds:5,rules:2,peak:8,longest:12,steps:6,word:5,work:1435,nodes:32,pairs:51,completionMax:154us [11m12s] 26634 ab:aa=1,abbbbbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26634 ab:aa=1,abbbbbab=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26635 solved: rounds:2,rules:3,peak:4,longest:8,steps:2,word:0,work:166,nodes:28,pairs:6,completionMax:31us [11m12s] 26635 ab:aa=1,abbbbbab=b infinite ab - - ab:aa=1,bbbbbb=b,bbbbbab=ab [11m12s] # 26636 solved: rounds:3,rules:2,peak:4,longest:12,steps:1,word:5,work:106,nodes:28,pairs:12,completionMax:37us [11m12s] 26636 ab:aa=1,abbbbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26636 ab:aa=1,abbbbbba=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26637 solved: rounds:2,rules:3,peak:4,longest:37,steps:41,word:30,work:2446,nodes:144,pairs:8,completionMax:162us [11m12s] 26637 ab:aa=1,abbbbbba=b finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbb,aa=1 [11m12s] # 26638 solved: rounds:1,rules:2,peak:3,longest:8,steps:1,word:0,work:2,nodes:28,pairs:1,completionMax:9us [11m12s] 26638 ab:aa=1,abbbbbbb=a infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 26638 ab:aa=1,abbbbbbb=a infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 26639 solved: rounds:2,rules:3,peak:3,longest:13,steps:1,word:5,work:56,nodes:28,pairs:3,completionMax:19us [11m12s] 26639 ab:aa=1,abbbbbbb=b finite:26;idempotents:1,bbbbbba,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbbbb,aa=1 [11m12s] # 26640 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:19,nodes:8,pairs:2,completionMax:6us [11m12s] 26640 ab:aa=1,baaaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26640 ab:aa=1,baaaaaab=a finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26641 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:13,nodes:6,pairs:0,completionMax:2us [11m12s] 26641 ab:aa=1,baaaaaab=b infinite ab - - ab:aa=1,bb=b [11m12s] from: 26641 ab:aa=1,baaaaaab=b infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26642 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:267,nodes:18,pairs:8,completionMax:30us [11m12s] 26642 ab:aa=1,baaaaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26642 ab:aa=1,baaaaabb=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26643 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:1us [11m12s] 26643 ab:aa=1,baaaaabb=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26643 ab:aa=1,baaaaabb=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26644 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:209,nodes:18,pairs:8,completionMax:26us [11m12s] 26644 ab:aa=1,baaaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26644 ab:aa=1,baaaabab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26645 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:2us [11m12s] 26645 ab:aa=1,baaaabab=b infinite ab - - ab:aa=1,bbab=b [11m12s] from: 26645 ab:aa=1,baaaabab=b infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 26646 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:22,nodes:16,pairs:2,completionMax:8us [11m12s] 26646 ab:aa=1,baaaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26646 ab:aa=1,baaaabbb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26647 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:14,nodes:10,pairs:0,completionMax:2us [11m12s] 26647 ab:aa=1,baaaabbb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26647 ab:aa=1,baaaabbb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26648 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:269,nodes:18,pairs:8,completionMax:30us [11m12s] 26648 ab:aa=1,baaabaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 26648 ab:aa=1,baaabaab=a finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 26649 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:1us [11m12s] 26649 ab:aa=1,baaabaab=b infinite ab - - ab:aa=1,babb=b [11m12s] from: 26649 ab:aa=1,baaabaab=b infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 26650 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:6,work:2360,nodes:26,pairs:63,completionMax:182us [11m12s] 26650 ab:aa=1,baaababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26650 ab:aa=1,baaababb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26651 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:2us [11m12s] 26651 ab:aa=1,baaababb=b infinite ab - - ab:aa=1,bababb=b [11m12s] from: 26651 ab:aa=1,baaababb=b infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 26652 solved: rounds:3,rules:2,peak:7,longest:15,steps:19,word:9,work:1229,nodes:44,pairs:20,completionMax:117us [11m12s] 26652 ab:aa=1,baaabbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26652 ab:aa=1,baaabbab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26653 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:134,nodes:18,pairs:2,completionMax:12us [11m12s] 26653 ab:aa=1,baaabbab=b infinite ab - - ab:aa=1,bbab=babb,bababb=b [11m12s] from: 26653 ab:aa=1,baaabbab=b infinite to: 3399 ab:aa=1,babbab=b infinite a=a,b=b [11m12s] # 26654 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1556,nodes:42,pairs:19,completionMax:119us [11m12s] 26654 ab:aa=1,baaabbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26654 ab:aa=1,baaabbbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26655 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:2us [11m12s] 26655 ab:aa=1,baaabbbb=b infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 26655 ab:aa=1,baaabbbb=b infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 26656 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:23,nodes:16,pairs:2,completionMax:11us [11m12s] 26656 ab:aa=1,baabaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26656 ab:aa=1,baabaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26657 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:15,nodes:10,pairs:0,completionMax:4us [11m12s] 26657 ab:aa=1,baabaabb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26657 ab:aa=1,baabaabb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26658 solved: rounds:3,rules:2,peak:8,longest:9,steps:8,word:6,work:1157,nodes:36,pairs:40,completionMax:148us [11m12s] 26658 ab:aa=1,baababab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26658 ab:aa=1,baababab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26659 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m12s] 26659 ab:aa=1,baababab=b infinite ab - - ab:aa=1,bbabab=b [11m12s] from: 26659 ab:aa=1,baababab=b infinite to: 3397 ab:aa=1,bababb=b infinite anti:a=a,b=b [11m12s] # 26660 solved: rounds:3,rules:3,peak:6,longest:7,steps:7,word:0,work:634,nodes:22,pairs:14,completionMax:57us [11m12s] 26660 ab:aa=1,baababbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26660 ab:aa=1,baababbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26661 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1005,nodes:26,pairs:7,completionMax:46us [11m12s] 26661 ab:aa=1,baababbb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26661 ab:aa=1,baababbb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26662 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:24,nodes:16,pairs:2,completionMax:11us [11m12s] 26662 ab:aa=1,baabbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26662 ab:aa=1,baabbaab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26663 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:3us [11m12s] 26663 ab:aa=1,baabbaab=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26663 ab:aa=1,baabbaab=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26664 solved: rounds:3,rules:3,peak:5,longest:6,steps:6,word:0,work:451,nodes:20,pairs:13,completionMax:36us [11m12s] 26664 ab:aa=1,baabbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26664 ab:aa=1,baabbabb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26665 solved: rounds:4,rules:3,peak:5,longest:8,steps:4,word:0,work:826,nodes:30,pairs:10,completionMax:51us [11m12s] 26665 ab:aa=1,baabbabb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26665 ab:aa=1,baabbabb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26666 solved: rounds:4,rules:3,peak:8,longest:17,steps:12,word:15,work:3964,nodes:78,pairs:25,completionMax:235us [11m12s] 26666 ab:aa=1,baabbbab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26666 ab:aa=1,baabbbab=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26667 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m12s] 26667 ab:aa=1,baabbbab=b infinite ab - - ab:aa=1,bbbbab=b [11m12s] from: 26667 ab:aa=1,baabbbab=b infinite to: 3401 ab:aa=1,babbbb=b infinite anti:a=a,b=b [11m12s] # 26668 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:25,nodes:24,pairs:2,completionMax:14us [11m12s] 26668 ab:aa=1,baabbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26668 ab:aa=1,baabbbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26669 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m12s] 26669 ab:aa=1,baabbbbb=b infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 26669 ab:aa=1,baabbbbb=b infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 26670 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:6,work:2362,nodes:26,pairs:63,completionMax:230us [11m12s] 26670 ab:aa=1,babaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26670 ab:aa=1,babaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26671 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:2us [11m12s] 26671 ab:aa=1,babaaabb=b infinite ab - - ab:aa=1,bababb=b [11m12s] from: 26671 ab:aa=1,babaaabb=b infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 26672 solved: rounds:3,rules:2,peak:7,longest:15,steps:19,word:9,work:1231,nodes:44,pairs:20,completionMax:82us [11m12s] 26672 ab:aa=1,babaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26672 ab:aa=1,babaabab=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26673 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:136,nodes:18,pairs:2,completionMax:15us [11m12s] 26673 ab:aa=1,babaabab=b infinite ab - - ab:aa=1,bbab=babb,bababb=b [11m12s] from: 26673 ab:aa=1,babaabab=b infinite to: 3399 ab:aa=1,babbab=b infinite a=a,b=b [11m12s] # 26674 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1558,nodes:42,pairs:19,completionMax:93us [11m12s] 26674 ab:aa=1,babaabbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26674 ab:aa=1,babaabbb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26675 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:3us [11m12s] 26675 ab:aa=1,babaabbb=b infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 26675 ab:aa=1,babaabbb=b infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 26676 solved: rounds:3,rules:3,peak:11,longest:8,steps:8,word:0,work:4545,nodes:36,pairs:96,completionMax:248us [11m12s] 26676 ab:aa=1,babababb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26676 ab:aa=1,babababb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26677 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:18,pairs:0,completionMax:2us [11m12s] 26677 ab:aa=1,babababb=b infinite ab - - ab:aa=1,babababb=b [11m12s] # 26678 solved: rounds:2,rules:3,peak:10,longest:8,steps:6,word:0,work:2090,nodes:32,pairs:19,completionMax:127us [11m12s] 26678 ab:aa=1,bababbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26678 ab:aa=1,bababbab=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26679 solved: rounds:2,rules:3,peak:4,longest:8,steps:4,word:0,work:437,nodes:26,pairs:6,completionMax:33us [11m12s] 26679 ab:aa=1,bababbab=b infinite ab - - ab:aa=1,bbab=babb,babababb=b [11m12s] # 26680 solved: rounds:4,rules:5,peak:10,longest:24,steps:15,word:17,work:10845,nodes:80,pairs:55,completionMax:447us [11m12s] 26680 ab:aa=1,bababbbb=a finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26680 ab:aa=1,bababbbb=a finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26681 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:18,pairs:0,completionMax:3us [11m12s] 26681 ab:aa=1,bababbbb=b infinite ab - - ab:aa=1,bababbbb=b [11m12s] # 26682 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1559,nodes:42,pairs:19,completionMax:114us [11m12s] 26682 ab:aa=1,babbaabb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 26682 ab:aa=1,babbaabb=a finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 26683 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:18,nodes:14,pairs:0,completionMax:3us [11m12s] 26683 ab:aa=1,babbaabb=b infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 26683 ab:aa=1,babbaabb=b infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 26684 solved: rounds:4,rules:6,peak:16,longest:13,steps:9,word:10,work:13252,nodes:100,pairs:112,completionMax:736us [11m12s] 26684 ab:aa=1,babbabbb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=babbbbbb,abba=bbbabbbbb,abbba=bbabbbbbbb [11m12s] from: 26684 ab:aa=1,babbabbb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26685 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:18,pairs:0,completionMax:2us [11m12s] 26685 ab:aa=1,babbabbb=b infinite ab - - ab:aa=1,babbabbb=b [11m12s] # 26686 solved: rounds:4,rules:6,peak:22,longest:15,steps:8,word:10,work:28693,nodes:146,pairs:91,completionMax:1301us [11m12s] 26686 ab:aa=1,babbbabb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26686 ab:aa=1,babbbabb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26687 solved: rounds:3,rules:3,peak:5,longest:8,steps:5,word:0,work:731,nodes:30,pairs:7,completionMax:37us [11m12s] 26687 ab:aa=1,babbbabb=b infinite ab - - ab:aa=1,bbab=babb,bababbbb=b [11m12s] # 26688 solved: rounds:3,rules:5,peak:7,longest:27,steps:10,word:17,work:4197,nodes:114,pairs:18,completionMax:248us [11m12s] 26688 ab:aa=1,babbbbab=a finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbb=1,bbba=abbb,aa=1,aba=bbabbbbbbbbbbbbbbbbb,abba=babbbbbbb [11m12s] from: 26688 ab:aa=1,babbbbab=a finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26689 solved: rounds:4,rules:9,peak:15,longest:8,steps:8,word:0,work:3069,nodes:90,pairs:50,completionMax:200us [11m12s] 26689 ab:aa=1,babbbbab=b infinite abc bab=c frequency:3/0 abc:aa=1,bab=c,cab=bac,bbac=bacb,bcac=bacc,cbac=cacb,cbbb=bbbc,cbbc=b,ccac=cacc [11m12s] # 26690 solved: rounds:5,rules:3,peak:9,longest:35,steps:29,word:49,work:13459,nodes:86,pairs:41,completionMax:425us [11m12s] 26690 ab:aa=1,babbbbbb=a finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbbbbbbbbbbbbbbbbbbbb,aa=1 [11m12s] from: 26690 ab:aa=1,babbbbbb=a finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 26073 ab:aa=1,ababbbbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26691 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:18,pairs:0,completionMax:4us [11m12s] 26691 ab:aa=1,babbbbbb=b infinite ab - - ab:aa=1,babbbbbb=b [11m12s] # 26692 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:24,nodes:16,pairs:2,completionMax:9us [11m12s] 26692 ab:aa=1,bbaaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 26692 ab:aa=1,bbaaaabb=a finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 26693 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:16,nodes:10,pairs:0,completionMax:2us [11m12s] 26693 ab:aa=1,bbaaaabb=b infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 26693 ab:aa=1,bbaaaabb=b infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 26694 solved: rounds:3,rules:3,peak:6,longest:7,steps:7,word:0,work:635,nodes:22,pairs:14,completionMax:45us [11m12s] 26694 ab:aa=1,bbaaabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26694 ab:aa=1,bbaaabbb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26695 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1006,nodes:26,pairs:7,completionMax:35us [11m12s] 26695 ab:aa=1,bbaaabbb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26695 ab:aa=1,bbaaabbb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26696 solved: rounds:3,rules:3,peak:5,longest:6,steps:6,word:0,work:452,nodes:20,pairs:13,completionMax:28us [11m12s] 26696 ab:aa=1,bbaababb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 26696 ab:aa=1,bbaababb=a finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 26697 solved: rounds:4,rules:3,peak:5,longest:8,steps:4,word:0,work:827,nodes:30,pairs:10,completionMax:44us [11m12s] 26697 ab:aa=1,bbaababb=b infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 26697 ab:aa=1,bbaababb=b infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 26698 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:26,nodes:24,pairs:2,completionMax:10us [11m12s] 26698 ab:aa=1,bbaabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26698 ab:aa=1,bbaabbbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26699 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:16,nodes:14,pairs:0,completionMax:3us [11m12s] 26699 ab:aa=1,bbaabbbb=b infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 26699 ab:aa=1,bbaabbbb=b infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 26700 solved: rounds:4,rules:6,peak:25,longest:14,steps:29,word:15,work:80358,nodes:132,pairs:201,completionMax:2739us [11m12s] 26700 ab:aa=1,bbababbb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,bbbba=abbbb,aa=1,aba=bbabbbbb,abba=babbbbbbb,abbba=bbbabbbbbb [11m12s] from: 26700 ab:aa=1,bbababbb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb a=a,b=b [11m12s] # 26701 solved: rounds:6,rules:9,peak:25,longest:8,steps:5,word:0,work:8579,nodes:117,pairs:52,completionMax:304us [11m12s] 26701 ab:aa=1,bbababbb=b infinite abc bab=c frequency:3/0 abc:aa=1,bab=c,cab=bac,bbac=bacb,bcac=bacc,cbac=cacb,cbbb=bbbc,cbbc=b,ccac=cacc [11m12s] from: 26701 ab:aa=1,bbababbb=b infinite to: 26689 ab:aa=1,babbbbab=b infinite a=a,b=b,c=c [11m12s] # 26702 solved: rounds:2,rules:5,peak:7,longest:8,steps:5,word:2,work:400,nodes:27,pairs:8,completionMax:43us [11m12s] 26702 ab:aa=1,bbabbabb=a infinite;group:a-a,b-bacaca,c-acaca ac/b bb=c frequency:2/0 abc:aa=1,cacac=a,cb=bc,cacab=abacaca,bb=c [11m12s] from: 26702 ab:aa=1,bbabbabb=a infinite;group:a-a,b-bacaca,c-acaca to: 26090 ab:aa=1,abbabbabb=1 infinite;group:a-a,b-bacaca,c-acaca a=a,b=b,c=c [11m12s] # 26703 solved: rounds:2,rules:3,peak:3,longest:8,steps:6,word:0,work:411,nodes:22,pairs:7,completionMax:29us [11m12s] 26703 ab:aa=1,bbabbabb=b infinite ab - - ab:aa=1,bbab=babb,bababbbb=b [11m12s] from: 26703 ab:aa=1,bbabbabb=b infinite to: 26687 ab:aa=1,babbbabb=b infinite a=a,b=b [11m12s] # 26704 solved: rounds:3,rules:3,peak:9,longest:21,steps:11,word:14,work:5301,nodes:70,pairs:39,completionMax:309us [11m12s] 26704 ab:aa=1,bbabbbbb=a finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=1,ba=abbbbbbbb,aa=1 [11m12s] from: 26704 ab:aa=1,bbabbbbb=a finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 26705 solved: rounds:4,rules:3,peak:5,longest:8,steps:6,word:0,work:2275,nodes:30,pairs:14,completionMax:84us [11m12s] 26705 ab:aa=1,bbabbbbb=b infinite ab - - ab:aa=1,bbab=babb,babbbbbb=b [11m12s] # 26706 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:27,nodes:24,pairs:2,completionMax:15us [11m12s] 26706 ab:aa=1,bbbaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 26706 ab:aa=1,bbbaabbb=a finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 26707 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:17,nodes:14,pairs:0,completionMax:4us [11m12s] 26707 ab:aa=1,bbbaabbb=b infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 26707 ab:aa=1,bbbaabbb=b infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 26708 solved: rounds:3,rules:3,peak:7,longest:10,steps:10,word:0,work:1625,nodes:30,pairs:19,completionMax:93us [11m12s] 26708 ab:aa=1,bbbabbbb=a finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb ab - - ab:aa=1,ba=ab,bbbbbbb=1 [11m12s] from: 26708 ab:aa=1,bbbabbbb=a finite:14;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb,bbbbb,abbbbb,bbbbbb,abbbbbb;commutative:ab:a2=1,b7=1;saturation:ab:b2=1,a7=1;cancellative;smith:14;group:a-a,b-bbbbbb to: 3773 ab:aaaa=bb,abbb=1 finite:14;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa;commutative:ab:b14=1,a=b11;saturation:a:a14=1;cancellative;smith:14;group:a-aaaaaaaaaaaaa,b-aaaaa a=bbbbbbb,b=bbbbbbbb [11m12s] # 26709 solved: rounds:3,rules:3,peak:8,longest:10,steps:5,word:0,work:5210,nodes:52,pairs:43,completionMax:199us [11m12s] 26709 ab:aa=1,bbbabbbb=b infinite ab - - ab:aa=1,bbab=babb,babbbbbb=b [11m12s] from: 26709 ab:aa=1,bbbabbbb=b infinite to: 26705 ab:aa=1,bbabbbbb=b infinite a=a,b=b [11m12s] # 26710 solved: rounds:1,rules:2,peak:2,longest:16,steps:1,word:7,work:28,nodes:32,pairs:2,completionMax:13us [11m12s] 26710 ab:aa=1,bbbbbbbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=1,a=bbbbbbbb [11m12s] from: 26710 ab:aa=1,bbbbbbbb=a finite:16;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbb;commutative:ab:b16=1,a=b8;saturation:a:a16=1;cancellative;smith:16;group:a-bbbbbbbb,b-bbbbbbbbbbbbbbb to: 1331 ab:aaaa=b,bbbb=1 finite:16;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa,aaaaaaaaaa,aaaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaa;commutative:ab:a16=1,b=a4;saturation:a:a16=1;cancellative;smith:16;group:a-aaaaaaaaaaaaaaa,b-aaaaaaaaaaaa a=aaaaaaaa,b=a [11m12s] # 26711 solved: rounds:0,rules:2,peak:2,longest:8,steps:1,word:0,work:16,nodes:18,pairs:0,completionMax:5us [11m12s] 26711 ab:aa=1,bbbbbbbb=b infinite ab - - ab:aa=1,bbbbbbbb=b [11m12s] # 26712 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:0,work:53,nodes:16,pairs:2,completionMax:18us [11m12s] 26712 ab:ab=1,aaaaaaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26712 ab:ab=1,aaaaaaaa=a finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26713 solved: rounds:1,rules:2,peak:2,longest:9,steps:0,word:0,work:0,nodes:18,pairs:1,completionMax:8us [11m12s] 26713 ab:ab=1,aaaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a a/b - - ab:aaaaaaaaa=1,b=aaaaaaaa [11m12s] from: 26713 ab:ab=1,aaaaaaaa=b finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaaa,b=a [11m12s] # 26714 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:47,nodes:12,pairs:2,completionMax:18us [11m12s] 26714 ab:ab=1,aaaaaaab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26714 ab:ab=1,aaaaaaab=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26715 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:8,nodes:14,pairs:1,completionMax:5us [11m12s] 26715 ab:ab=1,aaaaaaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26715 ab:ab=1,aaaaaaab=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26716 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:12,pairs:2,completionMax:11us [11m12s] 26716 ab:ab=1,aaaaaaba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26716 ab:ab=1,aaaaaaba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26717 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:7,nodes:14,pairs:1,completionMax:4us [11m12s] 26717 ab:ab=1,aaaaaaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26717 ab:ab=1,aaaaaaba=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26718 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:38,nodes:8,pairs:2,completionMax:10us [11m12s] 26718 ab:ab=1,aaaaaabb=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26718 ab:ab=1,aaaaaabb=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26719 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:13,nodes:10,pairs:1,completionMax:6us [11m12s] 26719 ab:ab=1,aaaaaabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26719 ab:ab=1,aaaaaabb=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26720 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:45,nodes:12,pairs:2,completionMax:16us [11m12s] 26720 ab:ab=1,aaaaabaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26720 ab:ab=1,aaaaabaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26721 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:6,nodes:14,pairs:1,completionMax:7us [11m12s] 26721 ab:ab=1,aaaaabaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26721 ab:ab=1,aaaaabaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26722 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:37,nodes:8,pairs:2,completionMax:8us [11m12s] 26722 ab:ab=1,aaaaabab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26722 ab:ab=1,aaaaabab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26723 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:12,nodes:10,pairs:1,completionMax:6us [11m12s] 26723 ab:ab=1,aaaaabab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26723 ab:ab=1,aaaaabab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26724 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:36,nodes:8,pairs:2,completionMax:7us [11m12s] 26724 ab:ab=1,aaaaabba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26724 ab:ab=1,aaaaabba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26725 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:3us [11m12s] 26725 ab:ab=1,aaaaabba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26725 ab:ab=1,aaaaabba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26726 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:24,nodes:4,pairs:2,completionMax:4us [11m12s] 26726 ab:ab=1,aaaaabbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26726 ab:ab=1,aaaaabbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26727 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:15,nodes:6,pairs:1,completionMax:5us [11m12s] 26727 ab:ab=1,aaaaabbb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26727 ab:ab=1,aaaaabbb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26728 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:44,nodes:12,pairs:2,completionMax:15us [11m12s] 26728 ab:ab=1,aaaabaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26728 ab:ab=1,aaaabaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26729 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:5,nodes:14,pairs:1,completionMax:9us [11m12s] 26729 ab:ab=1,aaaabaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26729 ab:ab=1,aaaabaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26730 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:36,nodes:8,pairs:2,completionMax:9us [11m12s] 26730 ab:ab=1,aaaabaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26730 ab:ab=1,aaaabaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26731 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:11,nodes:10,pairs:1,completionMax:7us [11m12s] 26731 ab:ab=1,aaaabaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26731 ab:ab=1,aaaabaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26732 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:35,nodes:8,pairs:2,completionMax:15us [11m12s] 26732 ab:ab=1,aaaababa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26732 ab:ab=1,aaaababa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26733 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:5us [11m12s] 26733 ab:ab=1,aaaababa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26733 ab:ab=1,aaaababa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26734 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:23,nodes:4,pairs:2,completionMax:10us [11m12s] 26734 ab:ab=1,aaaababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26734 ab:ab=1,aaaababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26735 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 26735 ab:ab=1,aaaababb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26735 ab:ab=1,aaaababb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26736 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:34,nodes:8,pairs:2,completionMax:10us [11m12s] 26736 ab:ab=1,aaaabbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26736 ab:ab=1,aaaabbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26737 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:4us [11m12s] 26737 ab:ab=1,aaaabbaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26737 ab:ab=1,aaaabbaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26738 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:22,nodes:4,pairs:2,completionMax:5us [11m12s] 26738 ab:ab=1,aaaabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26738 ab:ab=1,aaaabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26739 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:4us [11m12s] 26739 ab:ab=1,aaaabbab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26739 ab:ab=1,aaaabbab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26740 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:21,nodes:4,pairs:2,completionMax:8us [11m12s] 26740 ab:ab=1,aaaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26740 ab:ab=1,aaaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26741 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:5us [11m12s] 26741 ab:ab=1,aaaabbba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26741 ab:ab=1,aaaabbba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26742 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:14,nodes:4,pairs:1,completionMax:2us [11m12s] 26742 ab:ab=1,aaaabbbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26742 ab:ab=1,aaaabbbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26743 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:43,nodes:12,pairs:2,completionMax:15us [11m12s] 26743 ab:ab=1,aaabaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26743 ab:ab=1,aaabaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26744 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:4,nodes:14,pairs:1,completionMax:7us [11m12s] 26744 ab:ab=1,aaabaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26744 ab:ab=1,aaabaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26745 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:35,nodes:8,pairs:2,completionMax:10us [11m12s] 26745 ab:ab=1,aaabaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26745 ab:ab=1,aaabaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26746 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:5us [11m12s] 26746 ab:ab=1,aaabaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26746 ab:ab=1,aaabaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26747 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:34,nodes:8,pairs:2,completionMax:15us [11m12s] 26747 ab:ab=1,aaabaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26747 ab:ab=1,aaabaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26748 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:6us [11m12s] 26748 ab:ab=1,aaabaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26748 ab:ab=1,aaabaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26749 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:22,nodes:4,pairs:2,completionMax:5us [11m12s] 26749 ab:ab=1,aaabaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26749 ab:ab=1,aaabaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26750 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:13,nodes:6,pairs:1,completionMax:8us [11m12s] 26750 ab:ab=1,aaabaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26750 ab:ab=1,aaabaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26751 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:8,pairs:2,completionMax:14us [11m12s] 26751 ab:ab=1,aaababaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26751 ab:ab=1,aaababaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26752 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:10,pairs:1,completionMax:6us [11m12s] 26752 ab:ab=1,aaababaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26752 ab:ab=1,aaababaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26753 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:21,nodes:4,pairs:2,completionMax:6us [11m12s] 26753 ab:ab=1,aaababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26753 ab:ab=1,aaababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26754 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 26754 ab:ab=1,aaababab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26754 ab:ab=1,aaababab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26755 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:20,nodes:4,pairs:2,completionMax:4us [11m12s] 26755 ab:ab=1,aaababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26755 ab:ab=1,aaababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26756 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:3us [11m12s] 26756 ab:ab=1,aaababba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26756 ab:ab=1,aaababba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26757 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:13,nodes:4,pairs:1,completionMax:2us [11m12s] 26757 ab:ab=1,aaababbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26757 ab:ab=1,aaababbb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26758 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:13us [11m12s] 26758 ab:ab=1,aaabbaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26758 ab:ab=1,aaabbaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26759 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:7,nodes:10,pairs:1,completionMax:4us [11m12s] 26759 ab:ab=1,aaabbaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26759 ab:ab=1,aaabbaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26760 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:20,nodes:4,pairs:2,completionMax:7us [11m12s] 26760 ab:ab=1,aaabbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26760 ab:ab=1,aaabbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26761 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m12s] 26761 ab:ab=1,aaabbaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26761 ab:ab=1,aaabbaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26762 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:7us [11m12s] 26762 ab:ab=1,aaabbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26762 ab:ab=1,aaabbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26763 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m12s] 26763 ab:ab=1,aaabbaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26763 ab:ab=1,aaabbaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26764 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 26764 ab:ab=1,aaabbabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26764 ab:ab=1,aaabbabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26765 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 26765 ab:ab=1,aaabbabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26765 ab:ab=1,aaabbabb=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26766 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:6us [11m12s] 26766 ab:ab=1,aaabbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26766 ab:ab=1,aaabbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26767 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 26767 ab:ab=1,aaabbbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26767 ab:ab=1,aaabbbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26768 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:1us [11m12s] 26768 ab:ab=1,aaabbbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26768 ab:ab=1,aaabbbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26769 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:4us [11m12s] 26769 ab:ab=1,aaabbbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26769 ab:ab=1,aaabbbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26770 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:15us [11m12s] 26770 ab:ab=1,aaabbbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26770 ab:ab=1,aaabbbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26771 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:3,completionMax:8us [11m12s] 26771 ab:ab=1,aaabbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26771 ab:ab=1,aaabbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26772 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:42,nodes:12,pairs:2,completionMax:16us [11m12s] 26772 ab:ab=1,aabaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26772 ab:ab=1,aabaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26773 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:3,nodes:14,pairs:1,completionMax:6us [11m12s] 26773 ab:ab=1,aabaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26773 ab:ab=1,aabaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26774 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:34,nodes:8,pairs:2,completionMax:9us [11m12s] 26774 ab:ab=1,aabaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26774 ab:ab=1,aabaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26775 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:5us [11m12s] 26775 ab:ab=1,aabaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26775 ab:ab=1,aabaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26776 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:8,pairs:2,completionMax:8us [11m12s] 26776 ab:ab=1,aabaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26776 ab:ab=1,aabaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26777 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:10,pairs:1,completionMax:4us [11m12s] 26777 ab:ab=1,aabaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26777 ab:ab=1,aabaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26778 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:21,nodes:4,pairs:2,completionMax:5us [11m12s] 26778 ab:ab=1,aabaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26778 ab:ab=1,aabaaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26779 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:3us [11m12s] 26779 ab:ab=1,aabaaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26779 ab:ab=1,aabaaabb=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26780 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:9us [11m12s] 26780 ab:ab=1,aabaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26780 ab:ab=1,aabaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26781 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:7,nodes:10,pairs:1,completionMax:5us [11m12s] 26781 ab:ab=1,aabaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26781 ab:ab=1,aabaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26782 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:20,nodes:4,pairs:2,completionMax:7us [11m12s] 26782 ab:ab=1,aabaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26782 ab:ab=1,aabaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26783 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m12s] 26783 ab:ab=1,aabaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26783 ab:ab=1,aabaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26784 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:7us [11m12s] 26784 ab:ab=1,aabaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26784 ab:ab=1,aabaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26785 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m12s] 26785 ab:ab=1,aabaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26785 ab:ab=1,aabaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26786 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:8,pairs:2,completionMax:10us [11m12s] 26786 ab:ab=1,aababaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26786 ab:ab=1,aababaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26787 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:6,nodes:10,pairs:1,completionMax:5us [11m12s] 26787 ab:ab=1,aababaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26787 ab:ab=1,aababaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26788 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:4us [11m12s] 26788 ab:ab=1,aababaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26788 ab:ab=1,aababaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26789 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:3us [11m12s] 26789 ab:ab=1,aababaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26789 ab:ab=1,aababaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26790 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:5us [11m12s] 26790 ab:ab=1,aabababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26790 ab:ab=1,aabababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26791 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:3us [11m12s] 26791 ab:ab=1,aabababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26791 ab:ab=1,aabababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26792 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:11,nodes:4,pairs:1,completionMax:3us [11m12s] 26792 ab:ab=1,aabababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26792 ab:ab=1,aabababb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26793 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:8us [11m12s] 26793 ab:ab=1,aababbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26793 ab:ab=1,aababbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26794 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:5us [11m12s] 26794 ab:ab=1,aababbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26794 ab:ab=1,aababbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26795 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 26795 ab:ab=1,aababbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26795 ab:ab=1,aababbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26796 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 26796 ab:ab=1,aababbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26796 ab:ab=1,aababbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26797 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:9us [11m12s] 26797 ab:ab=1,aababbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26797 ab:ab=1,aababbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26798 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:3,completionMax:7us [11m12s] 26798 ab:ab=1,aababbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26798 ab:ab=1,aababbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26799 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:12us [11m12s] 26799 ab:ab=1,aabbaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26799 ab:ab=1,aabbaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26800 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:5,nodes:10,pairs:1,completionMax:7us [11m12s] 26800 ab:ab=1,aabbaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26800 ab:ab=1,aabbaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26801 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:5us [11m12s] 26801 ab:ab=1,aabbaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26801 ab:ab=1,aabbaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26802 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:7us [11m12s] 26802 ab:ab=1,aabbaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26802 ab:ab=1,aabbaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26803 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:7us [11m12s] 26803 ab:ab=1,aabbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26803 ab:ab=1,aabbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26804 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m12s] 26804 ab:ab=1,aabbaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26804 ab:ab=1,aabbaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26805 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 26805 ab:ab=1,aabbaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26805 ab:ab=1,aabbaabb=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26806 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:5us [11m12s] 26806 ab:ab=1,aabbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26806 ab:ab=1,aabbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26807 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:7,nodes:6,pairs:1,completionMax:3us [11m12s] 26807 ab:ab=1,aabbabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26807 ab:ab=1,aabbabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26808 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:1us [11m12s] 26808 ab:ab=1,aabbabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26808 ab:ab=1,aabbabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26809 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:1us [11m12s] 26809 ab:ab=1,aabbabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26809 ab:ab=1,aabbabab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26810 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:7us [11m12s] 26810 ab:ab=1,aabbabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26810 ab:ab=1,aabbabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26811 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:21,nodes:6,pairs:3,completionMax:5us [11m12s] 26811 ab:ab=1,aabbabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26811 ab:ab=1,aabbabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26812 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:17us [11m12s] 26812 ab:ab=1,aabbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26812 ab:ab=1,aabbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26813 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:4,completionMax:23us [11m12s] 26813 ab:ab=1,aabbbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26813 ab:ab=1,aabbbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26814 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:11us [11m12s] 26814 ab:ab=1,aabbbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26814 ab:ab=1,aabbbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26815 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:3,completionMax:7us [11m12s] 26815 ab:ab=1,aabbbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26815 ab:ab=1,aabbbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26816 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:9us [11m12s] 26816 ab:ab=1,aabbbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26816 ab:ab=1,aabbbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26817 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:3,completionMax:11us [11m12s] 26817 ab:ab=1,aabbbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26817 ab:ab=1,aabbbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26818 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:34us [11m12s] 26818 ab:ab=1,aabbbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26818 ab:ab=1,aabbbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26819 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:26us [11m12s] 26819 ab:ab=1,aabbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26819 ab:ab=1,aabbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26820 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:23,nodes:8,pairs:2,completionMax:8us [11m12s] 26820 ab:ab=1,aabbbbab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26820 ab:ab=1,aabbbbab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26821 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:6,pairs:2,completionMax:6us [11m12s] 26821 ab:ab=1,aabbbbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26821 ab:ab=1,aabbbbab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26822 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:137,nodes:12,pairs:14,completionMax:29us [11m12s] 26822 ab:ab=1,aabbbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26822 ab:ab=1,aabbbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26823 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:83,nodes:10,pairs:13,completionMax:24us [11m12s] 26823 ab:ab=1,aabbbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26823 ab:ab=1,aabbbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26824 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:41,nodes:12,pairs:2,completionMax:22us [11m12s] 26824 ab:ab=1,abaaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26824 ab:ab=1,abaaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26825 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:2,nodes:14,pairs:1,completionMax:7us [11m12s] 26825 ab:ab=1,abaaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26825 ab:ab=1,abaaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26826 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:33,nodes:8,pairs:2,completionMax:11us [11m12s] 26826 ab:ab=1,abaaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26826 ab:ab=1,abaaaaab=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26827 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:8,nodes:10,pairs:1,completionMax:7us [11m12s] 26827 ab:ab=1,abaaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26827 ab:ab=1,abaaaaab=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26828 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:7us [11m12s] 26828 ab:ab=1,abaaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26828 ab:ab=1,abaaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26829 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:7,nodes:10,pairs:1,completionMax:9us [11m12s] 26829 ab:ab=1,abaaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26829 ab:ab=1,abaaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26830 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:8,pairs:2,completionMax:13us [11m12s] 26830 ab:ab=1,abaaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26830 ab:ab=1,abaaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26831 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:6,nodes:10,pairs:1,completionMax:5us [11m12s] 26831 ab:ab=1,abaaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26831 ab:ab=1,abaaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26832 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:7us [11m12s] 26832 ab:ab=1,abaaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26832 ab:ab=1,abaaabab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26833 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m12s] 26833 ab:ab=1,abaaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26833 ab:ab=1,abaaabab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26834 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:5us [11m12s] 26834 ab:ab=1,abaaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26834 ab:ab=1,abaaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26835 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 26835 ab:ab=1,abaaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26835 ab:ab=1,abaaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26836 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:7us [11m12s] 26836 ab:ab=1,abaabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26836 ab:ab=1,abaabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26837 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:5,nodes:10,pairs:1,completionMax:5us [11m12s] 26837 ab:ab=1,abaabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26837 ab:ab=1,abaabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26838 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:7us [11m12s] 26838 ab:ab=1,abaabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26838 ab:ab=1,abaabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26839 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 26839 ab:ab=1,abaabaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26839 ab:ab=1,abaabaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26840 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:5us [11m12s] 26840 ab:ab=1,abaababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26840 ab:ab=1,abaababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26841 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m12s] 26841 ab:ab=1,abaababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26841 ab:ab=1,abaababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26842 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:3us [11m12s] 26842 ab:ab=1,abaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26842 ab:ab=1,abaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26843 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:7,nodes:6,pairs:1,completionMax:3us [11m12s] 26843 ab:ab=1,abaabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26843 ab:ab=1,abaabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26844 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:9,nodes:4,pairs:1,completionMax:1us [11m12s] 26844 ab:ab=1,abaabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26844 ab:ab=1,abaabbab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26845 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:6us [11m12s] 26845 ab:ab=1,abaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26845 ab:ab=1,abaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26846 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:21,nodes:6,pairs:3,completionMax:12us [11m12s] 26846 ab:ab=1,abaabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26846 ab:ab=1,abaabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26847 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:8,pairs:2,completionMax:12us [11m12s] 26847 ab:ab=1,ababaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26847 ab:ab=1,ababaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26848 solved: rounds:1,rules:2,peak:2,longest:5,steps:2,word:0,work:4,nodes:10,pairs:1,completionMax:6us [11m12s] 26848 ab:ab=1,ababaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26848 ab:ab=1,ababaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26849 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:7us [11m12s] 26849 ab:ab=1,ababaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26849 ab:ab=1,ababaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26850 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m12s] 26850 ab:ab=1,ababaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26850 ab:ab=1,ababaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26851 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:5us [11m12s] 26851 ab:ab=1,ababaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26851 ab:ab=1,ababaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26852 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:7,nodes:6,pairs:1,completionMax:3us [11m12s] 26852 ab:ab=1,ababaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26852 ab:ab=1,ababaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26853 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:4,pairs:2,completionMax:4us [11m12s] 26853 ab:ab=1,abababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26853 ab:ab=1,abababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26854 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:6,nodes:6,pairs:1,completionMax:3us [11m12s] 26854 ab:ab=1,abababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26854 ab:ab=1,abababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26855 solved: rounds:1,rules:2,peak:2,longest:2,steps:4,word:0,work:8,nodes:4,pairs:1,completionMax:2us [11m12s] 26855 ab:ab=1,abababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26855 ab:ab=1,abababab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26856 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:21,nodes:6,pairs:4,completionMax:9us [11m12s] 26856 ab:ab=1,abababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26856 ab:ab=1,abababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26857 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:20,nodes:6,pairs:3,completionMax:10us [11m12s] 26857 ab:ab=1,abababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26857 ab:ab=1,abababba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26858 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:12,pairs:12,completionMax:20us [11m12s] 26858 ab:ab=1,ababbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26858 ab:ab=1,ababbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26859 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:12,pairs:4,completionMax:15us [11m12s] 26859 ab:ab=1,ababbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26859 ab:ab=1,ababbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26860 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:12us [11m12s] 26860 ab:ab=1,ababbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26860 ab:ab=1,ababbaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26861 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:3,completionMax:8us [11m12s] 26861 ab:ab=1,ababbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26861 ab:ab=1,ababbaab=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26862 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:6us [11m12s] 26862 ab:ab=1,ababbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26862 ab:ab=1,ababbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26863 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:21,nodes:6,pairs:3,completionMax:6us [11m12s] 26863 ab:ab=1,ababbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26863 ab:ab=1,ababbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26864 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:30us [11m12s] 26864 ab:ab=1,ababbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26864 ab:ab=1,ababbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26865 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:94,nodes:12,pairs:14,completionMax:20us [11m12s] 26865 ab:ab=1,ababbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26865 ab:ab=1,ababbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26866 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:136,nodes:12,pairs:14,completionMax:36us [11m12s] 26866 ab:ab=1,ababbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26866 ab:ab=1,ababbbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26867 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:82,nodes:10,pairs:13,completionMax:21us [11m12s] 26867 ab:ab=1,ababbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26867 ab:ab=1,ababbbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26868 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:170,nodes:20,pairs:13,completionMax:33us [11m12s] 26868 ab:ab=1,abbaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26868 ab:ab=1,abbaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26869 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:51,nodes:20,pairs:4,completionMax:22us [11m12s] 26869 ab:ab=1,abbaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26869 ab:ab=1,abbaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26870 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:12,completionMax:28us [11m12s] 26870 ab:ab=1,abbaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26870 ab:ab=1,abbaaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26871 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:12,pairs:4,completionMax:12us [11m12s] 26871 ab:ab=1,abbaaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26871 ab:ab=1,abbaaaab=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26872 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:19us [11m12s] 26872 ab:ab=1,abbaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26872 ab:ab=1,abbaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26873 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:4,completionMax:15us [11m12s] 26873 ab:ab=1,abbaaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26873 ab:ab=1,abbaaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26874 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:12,completionMax:16us [11m12s] 26874 ab:ab=1,abbaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26874 ab:ab=1,abbaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26875 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:12,pairs:4,completionMax:22us [11m12s] 26875 ab:ab=1,abbaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26875 ab:ab=1,abbaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26876 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:12us [11m12s] 26876 ab:ab=1,abbaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26876 ab:ab=1,abbaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26877 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:3,completionMax:5us [11m12s] 26877 ab:ab=1,abbaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26877 ab:ab=1,abbaabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26878 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:16us [11m12s] 26878 ab:ab=1,abbabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26878 ab:ab=1,abbabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26879 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:4,completionMax:23us [11m12s] 26879 ab:ab=1,abbabaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26879 ab:ab=1,abbabaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26880 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:17us [11m12s] 26880 ab:ab=1,abbabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26880 ab:ab=1,abbabaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26881 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:8us [11m12s] 26881 ab:ab=1,abbababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26881 ab:ab=1,abbababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26882 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:3,completionMax:10us [11m12s] 26882 ab:ab=1,abbababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26882 ab:ab=1,abbababa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26883 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:34us [11m12s] 26883 ab:ab=1,abbabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26883 ab:ab=1,abbabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26884 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:28us [11m12s] 26884 ab:ab=1,abbabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26884 ab:ab=1,abbabbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26885 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:137,nodes:12,pairs:14,completionMax:45us [11m12s] 26885 ab:ab=1,abbabbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26885 ab:ab=1,abbabbba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26886 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:83,nodes:10,pairs:13,completionMax:26us [11m12s] 26886 ab:ab=1,abbabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26886 ab:ab=1,abbabbba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26887 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:313,nodes:22,pairs:35,completionMax:67us [11m12s] 26887 ab:ab=1,abbbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26887 ab:ab=1,abbbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26888 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:279,nodes:22,pairs:23,completionMax:69us [11m12s] 26888 ab:ab=1,abbbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26888 ab:ab=1,abbbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26889 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:99,nodes:12,pairs:14,completionMax:32us [11m12s] 26889 ab:ab=1,abbbaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26889 ab:ab=1,abbbaaab=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26890 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:12,pairs:14,completionMax:30us [11m12s] 26890 ab:ab=1,abbbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26890 ab:ab=1,abbbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26891 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:40us [11m12s] 26891 ab:ab=1,abbbaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26891 ab:ab=1,abbbaaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26892 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:25us [11m12s] 26892 ab:ab=1,abbbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26892 ab:ab=1,abbbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26893 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:33us [11m12s] 26893 ab:ab=1,abbbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26893 ab:ab=1,abbbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26894 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:138,nodes:12,pairs:14,completionMax:43us [11m12s] 26894 ab:ab=1,abbbabba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26894 ab:ab=1,abbbabba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26895 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:84,nodes:10,pairs:13,completionMax:21us [11m12s] 26895 ab:ab=1,abbbabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26895 ab:ab=1,abbbabba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26896 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:356,nodes:20,pairs:19,completionMax:46us [11m12s] 26896 ab:ab=1,abbbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26896 ab:ab=1,abbbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26897 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:227,nodes:20,pairs:28,completionMax:49us [11m12s] 26897 ab:ab=1,abbbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26897 ab:ab=1,abbbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26898 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:139,nodes:12,pairs:14,completionMax:38us [11m12s] 26898 ab:ab=1,abbbbaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26898 ab:ab=1,abbbbaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26899 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:85,nodes:10,pairs:13,completionMax:20us [11m12s] 26899 ab:ab=1,abbbbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26899 ab:ab=1,abbbbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26900 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:398,nodes:26,pairs:24,completionMax:85us [11m12s] 26900 ab:ab=1,abbbbbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26900 ab:ab=1,abbbbbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26901 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:157,nodes:16,pairs:8,completionMax:36us [11m12s] 26901 ab:ab=1,abbbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26901 ab:ab=1,abbbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26902 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:3,work:493,nodes:20,pairs:28,completionMax:102us [11m12s] 26902 ab:ab=1,abbbbbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26902 ab:ab=1,abbbbbba=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26903 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:1,work:476,nodes:14,pairs:38,completionMax:94us [11m12s] 26903 ab:ab=1,abbbbbba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26903 ab:ab=1,abbbbbba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26904 solved: rounds:2,rules:2,peak:6,longest:8,steps:2,word:3,work:269,nodes:28,pairs:17,completionMax:84us [11m12s] 26904 ab:ab=1,baaaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26904 ab:ab=1,baaaaaaa=a finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26905 solved: rounds:2,rules:2,peak:4,longest:8,steps:2,word:5,work:63,nodes:28,pairs:4,completionMax:19us [11m12s] 26905 ab:ab=1,baaaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 26905 ab:ab=1,baaaaaaa=b finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 26906 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:175,nodes:20,pairs:13,completionMax:36us [11m12s] 26906 ab:ab=1,baaaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26906 ab:ab=1,baaaaaba=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26907 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:56,nodes:20,pairs:4,completionMax:17us [11m12s] 26907 ab:ab=1,baaaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26907 ab:ab=1,baaaaaba=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26908 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:174,nodes:20,pairs:13,completionMax:44us [11m12s] 26908 ab:ab=1,baaaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26908 ab:ab=1,baaaabaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26909 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:55,nodes:20,pairs:4,completionMax:19us [11m12s] 26909 ab:ab=1,baaaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26909 ab:ab=1,baaaabaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26910 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:81,nodes:12,pairs:12,completionMax:18us [11m12s] 26910 ab:ab=1,baaaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26910 ab:ab=1,baaaabba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26911 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:46,nodes:12,pairs:4,completionMax:21us [11m12s] 26911 ab:ab=1,baaaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26911 ab:ab=1,baaaabba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26912 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:173,nodes:20,pairs:13,completionMax:37us [11m12s] 26912 ab:ab=1,baaabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26912 ab:ab=1,baaabaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26913 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:54,nodes:20,pairs:4,completionMax:21us [11m12s] 26913 ab:ab=1,baaabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26913 ab:ab=1,baaabaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26914 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:80,nodes:12,pairs:12,completionMax:25us [11m12s] 26914 ab:ab=1,baaababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26914 ab:ab=1,baaababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26915 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:45,nodes:12,pairs:4,completionMax:15us [11m12s] 26915 ab:ab=1,baaababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26915 ab:ab=1,baaababa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26916 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:12,completionMax:23us [11m12s] 26916 ab:ab=1,baaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26916 ab:ab=1,baaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26917 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:12,pairs:4,completionMax:16us [11m12s] 26917 ab:ab=1,baaabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26917 ab:ab=1,baaabbaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26918 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:27,nodes:6,pairs:4,completionMax:10us [11m12s] 26918 ab:ab=1,baaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26918 ab:ab=1,baaabbba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26919 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:172,nodes:20,pairs:13,completionMax:39us [11m12s] 26919 ab:ab=1,baabaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26919 ab:ab=1,baabaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26920 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:53,nodes:20,pairs:4,completionMax:20us [11m12s] 26920 ab:ab=1,baabaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26920 ab:ab=1,baabaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26921 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:12,completionMax:24us [11m12s] 26921 ab:ab=1,baabaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26921 ab:ab=1,baabaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26922 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:12,pairs:4,completionMax:15us [11m12s] 26922 ab:ab=1,baabaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26922 ab:ab=1,baabaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26923 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:12,completionMax:20us [11m12s] 26923 ab:ab=1,baababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26923 ab:ab=1,baababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26924 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:12,pairs:4,completionMax:19us [11m12s] 26924 ab:ab=1,baababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26924 ab:ab=1,baababaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26925 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:26,nodes:6,pairs:4,completionMax:8us [11m12s] 26925 ab:ab=1,baababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26925 ab:ab=1,baababba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26926 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:25us [11m12s] 26926 ab:ab=1,baabbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26926 ab:ab=1,baabbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26927 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:4,completionMax:14us [11m12s] 26927 ab:ab=1,baabbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26927 ab:ab=1,baabbaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26928 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:25,nodes:6,pairs:4,completionMax:10us [11m12s] 26928 ab:ab=1,baabbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26928 ab:ab=1,baabbaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26929 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:3,completionMax:7us [11m12s] 26929 ab:ab=1,baabbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26929 ab:ab=1,baabbaba=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26930 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:12,pairs:14,completionMax:26us [11m12s] 26930 ab:ab=1,baabbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26930 ab:ab=1,baabbbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26931 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:25us [11m12s] 26931 ab:ab=1,baabbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26931 ab:ab=1,baabbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26932 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:171,nodes:20,pairs:13,completionMax:43us [11m12s] 26932 ab:ab=1,babaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26932 ab:ab=1,babaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26933 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:52,nodes:20,pairs:4,completionMax:19us [11m12s] 26933 ab:ab=1,babaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26933 ab:ab=1,babaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26934 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:12,completionMax:24us [11m12s] 26934 ab:ab=1,babaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26934 ab:ab=1,babaaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26935 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:12,pairs:4,completionMax:14us [11m12s] 26935 ab:ab=1,babaaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26935 ab:ab=1,babaaaba=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26936 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:24us [11m12s] 26936 ab:ab=1,babaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26936 ab:ab=1,babaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26937 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:4,completionMax:20us [11m12s] 26937 ab:ab=1,babaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26937 ab:ab=1,babaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26938 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:12,completionMax:25us [11m12s] 26938 ab:ab=1,bababaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26938 ab:ab=1,bababaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26939 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:12,pairs:4,completionMax:12us [11m12s] 26939 ab:ab=1,bababaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26939 ab:ab=1,bababaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26940 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:11us [11m12s] 26940 ab:ab=1,babababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26940 ab:ab=1,babababa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26941 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:19us [11m12s] 26941 ab:ab=1,bababbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26941 ab:ab=1,bababbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26942 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:26us [11m12s] 26942 ab:ab=1,bababbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26942 ab:ab=1,bababbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26943 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:314,nodes:22,pairs:35,completionMax:75us [11m12s] 26943 ab:ab=1,babbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26943 ab:ab=1,babbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26944 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:280,nodes:22,pairs:23,completionMax:42us [11m12s] 26944 ab:ab=1,babbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26944 ab:ab=1,babbaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26945 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:99,nodes:12,pairs:14,completionMax:33us [11m12s] 26945 ab:ab=1,babbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26945 ab:ab=1,babbaaba=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26946 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:12,pairs:14,completionMax:24us [11m12s] 26946 ab:ab=1,babbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26946 ab:ab=1,babbabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26947 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:34us [11m12s] 26947 ab:ab=1,babbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26947 ab:ab=1,babbabaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26948 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:357,nodes:20,pairs:19,completionMax:39us [11m12s] 26948 ab:ab=1,babbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26948 ab:ab=1,babbbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26949 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:228,nodes:20,pairs:28,completionMax:32us [11m12s] 26949 ab:ab=1,babbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26949 ab:ab=1,babbbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26950 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:3,work:399,nodes:26,pairs:24,completionMax:54us [11m12s] 26950 ab:ab=1,babbbbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26950 ab:ab=1,babbbbaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26951 solved: rounds:2,rules:2,peak:8,longest:6,steps:4,word:0,work:158,nodes:16,pairs:8,completionMax:38us [11m12s] 26951 ab:ab=1,babbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26951 ab:ab=1,babbbbaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26952 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:1,work:480,nodes:34,pairs:16,completionMax:68us [11m12s] 26952 ab:ab=1,bbaaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26952 ab:ab=1,bbaaaaaa=a finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26953 solved: rounds:3,rules:2,peak:7,longest:8,steps:3,word:3,work:437,nodes:34,pairs:24,completionMax:91us [11m12s] 26953 ab:ab=1,bbaaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 26953 ab:ab=1,bbaaaaaa=b finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 26954 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:317,nodes:22,pairs:35,completionMax:73us [11m12s] 26954 ab:ab=1,bbaaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26954 ab:ab=1,bbaaabaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26955 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:283,nodes:22,pairs:23,completionMax:50us [11m12s] 26955 ab:ab=1,bbaaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26955 ab:ab=1,bbaaabaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26956 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:316,nodes:22,pairs:35,completionMax:47us [11m12s] 26956 ab:ab=1,bbaabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26956 ab:ab=1,bbaabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26957 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:282,nodes:22,pairs:23,completionMax:60us [11m12s] 26957 ab:ab=1,bbaabaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26957 ab:ab=1,bbaabaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26958 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:100,nodes:12,pairs:14,completionMax:23us [11m12s] 26958 ab:ab=1,bbaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26958 ab:ab=1,bbaabbaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26959 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:315,nodes:22,pairs:35,completionMax:74us [11m12s] 26959 ab:ab=1,bbabaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26959 ab:ab=1,bbabaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26960 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:281,nodes:22,pairs:23,completionMax:57us [11m12s] 26960 ab:ab=1,bbabaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26960 ab:ab=1,bbabaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26961 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:99,nodes:12,pairs:14,completionMax:32us [11m12s] 26961 ab:ab=1,bbababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26961 ab:ab=1,bbababaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26962 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:358,nodes:20,pairs:19,completionMax:45us [11m12s] 26962 ab:ab=1,bbabbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26962 ab:ab=1,bbabbaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26963 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:229,nodes:20,pairs:28,completionMax:49us [11m12s] 26963 ab:ab=1,bbabbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26963 ab:ab=1,bbabbaaa=b finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26964 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:0,work:463,nodes:30,pairs:38,completionMax:69us [11m12s] 26964 ab:ab=1,bbbaaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26964 ab:ab=1,bbbaaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26965 solved: rounds:4,rules:2,peak:7,longest:8,steps:3,word:1,work:241,nodes:32,pairs:32,completionMax:81us [11m12s] 26965 ab:ab=1,bbbaaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 26965 ab:ab=1,bbbaaaaa=b finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 26966 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:359,nodes:20,pairs:19,completionMax:60us [11m12s] 26966 ab:ab=1,bbbabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26966 ab:ab=1,bbbabaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26967 solved: rounds:3,rules:2,peak:8,longest:8,steps:7,word:0,work:654,nodes:26,pairs:22,completionMax:51us [11m12s] 26967 ab:ab=1,bbbbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 26967 ab:ab=1,bbbbaaaa=a finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 26968 solved: rounds:0,rules:1,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:2us [11m12s] 26968 ab:aa=1,aaaaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m12s] from: 26968 ab:aa=1,aaaaaaa=aa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m12s] # 26969 solved: rounds:1,rules:2,peak:3,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:3us [11m12s] 26969 ab:aa=1,aaaaaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26969 ab:aa=1,aaaaaaa=ab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26970 solved: rounds:1,rules:2,peak:2,longest:4,steps:3,word:1,work:16,nodes:8,pairs:2,completionMax:9us [11m12s] 26970 ab:aa=1,aaaaaaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26970 ab:aa=1,aaaaaaa=bb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26971 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 26971 ab:aa=1,aaaaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26971 ab:aa=1,aaaaaab=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26972 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:4us [11m12s] 26972 ab:aa=1,aaaaaab=ab infinite ab - - ab:aa=1,ab=b [11m12s] from: 26972 ab:aa=1,aaaaaab=ab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 26973 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:6,pairs:0,completionMax:3us [11m12s] 26973 ab:aa=1,aaaaaab=ba infinite ab - - ab:aa=1,ba=b [11m12s] from: 26973 ab:aa=1,aaaaaab=ba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 26974 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:6,pairs:0,completionMax:2us [11m12s] 26974 ab:aa=1,aaaaaab=bb infinite ab - - ab:aa=1,bb=b [11m12s] from: 26974 ab:aa=1,aaaaaab=bb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26975 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:7,completionMax:13us [11m12s] 26975 ab:aa=1,aaaaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26975 ab:aa=1,aaaaaba=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26976 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:8,pairs:2,completionMax:9us [11m12s] 26976 ab:aa=1,aaaaaba=ab infinite ab - - ab:aa=1,ba=b [11m12s] from: 26976 ab:aa=1,aaaaaba=ab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 26977 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:10us [11m12s] 26977 ab:aa=1,aaaaaba=ba infinite ab - - ab:aa=1,ab=b [11m12s] from: 26977 ab:aa=1,aaaaaba=ba infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 26978 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:137,nodes:16,pairs:8,completionMax:25us [11m12s] 26978 ab:aa=1,aaaaaba=bb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26978 ab:aa=1,aaaaaba=bb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26979 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:18,nodes:8,pairs:4,completionMax:10us [11m12s] 26979 ab:aa=1,aaaaabb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26979 ab:aa=1,aaaaabb=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26980 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:4us [11m12s] 26980 ab:aa=1,aaaaabb=ab infinite ab - - ab:aa=1,bb=b [11m12s] from: 26980 ab:aa=1,aaaaabb=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26981 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:44,nodes:10,pairs:1,completionMax:7us [11m12s] 26981 ab:aa=1,aaaaabb=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26981 ab:aa=1,aaaaabb=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26982 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:2us [11m12s] 26982 ab:aa=1,aaaaabb=bb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 26982 ab:aa=1,aaaaabb=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 26983 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 26983 ab:aa=1,aaaabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26983 ab:aa=1,aaaabaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 26984 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:0,completionMax:2us [11m12s] 26984 ab:aa=1,aaaabaa=ab infinite ab - - ab:aa=1,ab=b [11m12s] from: 26984 ab:aa=1,aaaabaa=ab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 26985 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m12s] 26985 ab:aa=1,aaaabaa=ba infinite ab - - ab:aa=1,ba=b [11m12s] from: 26985 ab:aa=1,aaaabaa=ba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 26986 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:6,pairs:0,completionMax:2us [11m12s] 26986 ab:aa=1,aaaabaa=bb infinite ab - - ab:aa=1,bb=b [11m12s] from: 26986 ab:aa=1,aaaabaa=bb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26987 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:13us [11m12s] 26987 ab:aa=1,aaaabab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26987 ab:aa=1,aaaabab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26988 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:6us [11m12s] 26988 ab:aa=1,aaaabab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 26988 ab:aa=1,aaaabab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 26989 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:28,nodes:8,pairs:1,completionMax:3us [11m12s] 26989 ab:aa=1,aaaabab=ba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 26989 ab:aa=1,aaaabab=ba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 26990 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:1us [11m12s] 26990 ab:aa=1,aaaabab=bb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 26990 ab:aa=1,aaaabab=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 26991 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:14,nodes:8,pairs:3,completionMax:10us [11m12s] 26991 ab:aa=1,aaaabba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 26991 ab:aa=1,aaaabba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 26992 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:82,nodes:12,pairs:4,completionMax:17us [11m12s] 26992 ab:aa=1,aaaabba=ab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 26992 ab:aa=1,aaaabba=ab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 26993 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:6us [11m12s] 26993 ab:aa=1,aaaabba=ba infinite ab - - ab:aa=1,bb=b [11m12s] from: 26993 ab:aa=1,aaaabba=ba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 26994 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 26994 ab:aa=1,aaaabba=bb infinite ab - - ab:aa=1,bba=bb [11m12s] from: 26994 ab:aa=1,aaaabba=bb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 26995 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m12s] 26995 ab:aa=1,aaaabbb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 26995 ab:aa=1,aaaabbb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 26996 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:23,nodes:12,pairs:1,completionMax:7us [11m12s] 26996 ab:aa=1,aaaabbb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 26996 ab:aa=1,aaaabbb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 26997 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:1,completionMax:7us [11m12s] 26997 ab:aa=1,aaaabbb=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 26997 ab:aa=1,aaaabbb=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 26998 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 26998 ab:aa=1,aaaabbb=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 26998 ab:aa=1,aaaabbb=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 26999 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:39,nodes:8,pairs:7,completionMax:19us [11m12s] 26999 ab:aa=1,aaabaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 26999 ab:aa=1,aaabaaa=aa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27000 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:7us [11m12s] 27000 ab:aa=1,aaabaaa=ab infinite ab - - ab:aa=1,ba=b [11m12s] from: 27000 ab:aa=1,aaabaaa=ab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 27001 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:139,nodes:16,pairs:8,completionMax:27us [11m12s] 27001 ab:aa=1,aaabaaa=bb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27001 ab:aa=1,aaabaaa=bb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27002 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:20,nodes:8,pairs:4,completionMax:11us [11m12s] 27002 ab:aa=1,aaabaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27002 ab:aa=1,aaabaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27003 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:5us [11m12s] 27003 ab:aa=1,aaabaab=ab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27003 ab:aa=1,aaabaab=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27004 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:46,nodes:10,pairs:1,completionMax:6us [11m12s] 27004 ab:aa=1,aaabaab=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27004 ab:aa=1,aaabaab=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27005 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [11m12s] 27005 ab:aa=1,aaabaab=bb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27005 ab:aa=1,aaabaab=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27006 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:263,nodes:20,pairs:13,completionMax:29us [11m12s] 27006 ab:aa=1,aaababa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27006 ab:aa=1,aaababa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27007 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:444,nodes:18,pairs:14,completionMax:47us [11m12s] 27007 ab:aa=1,aaababa=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27007 ab:aa=1,aaababa=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27008 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:0,work:323,nodes:18,pairs:20,completionMax:36us [11m12s] 27008 ab:aa=1,aaababa=ba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27008 ab:aa=1,aaababa=ba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27009 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:131,nodes:10,pairs:4,completionMax:19us [11m12s] 27009 ab:aa=1,aaababa=bb infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27009 ab:aa=1,aaababa=bb infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27010 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:272,nodes:18,pairs:10,completionMax:44us [11m12s] 27010 ab:aa=1,aaababb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27010 ab:aa=1,aaababb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27011 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:9us [11m12s] 27011 ab:aa=1,aaababb=ab infinite ab - - ab:aa=1,babb=b [11m12s] from: 27011 ab:aa=1,aaababb=ab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27012 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1957,nodes:32,pairs:32,completionMax:119us [11m12s] 27012 ab:aa=1,aaababb=ba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27012 ab:aa=1,aaababb=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27013 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:101,nodes:16,pairs:3,completionMax:14us [11m12s] 27013 ab:aa=1,aaababb=bb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27013 ab:aa=1,aaababb=bb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27014 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:21,nodes:8,pairs:4,completionMax:8us [11m12s] 27014 ab:aa=1,aaabbaa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27014 ab:aa=1,aaabbaa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27015 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:19,nodes:8,pairs:1,completionMax:5us [11m12s] 27015 ab:aa=1,aaabbaa=ab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27015 ab:aa=1,aaabbaa=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27016 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:47,nodes:10,pairs:1,completionMax:8us [11m12s] 27016 ab:aa=1,aaabbaa=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27016 ab:aa=1,aaabbaa=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27017 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:1us [11m12s] 27017 ab:aa=1,aaabbaa=bb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27017 ab:aa=1,aaabbaa=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27018 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:142,nodes:14,pairs:7,completionMax:22us [11m12s] 27018 ab:aa=1,aaabbab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27018 ab:aa=1,aaabbab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27019 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:16,pairs:1,completionMax:6us [11m12s] 27019 ab:aa=1,aaabbab=ab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27019 ab:aa=1,aaabbab=ab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27020 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:898,nodes:24,pairs:14,completionMax:60us [11m12s] 27020 ab:aa=1,aaabbab=ba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27020 ab:aa=1,aaabbab=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27021 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:354,nodes:20,pairs:7,completionMax:26us [11m12s] 27021 ab:aa=1,aaabbab=bb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 27021 ab:aa=1,aaabbab=bb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 27022 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:7,completionMax:15us [11m12s] 27022 ab:aa=1,aaabbba=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27022 ab:aa=1,aaabbba=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27023 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:210,nodes:22,pairs:14,completionMax:50us [11m12s] 27023 ab:aa=1,aaabbba=ab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27023 ab:aa=1,aaabbba=ab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27024 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:199,nodes:20,pairs:12,completionMax:43us [11m12s] 27024 ab:aa=1,aaabbba=ba finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27024 ab:aa=1,aaabbba=ba finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27025 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:594,nodes:22,pairs:6,completionMax:41us [11m12s] 27025 ab:aa=1,aaabbba=bb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27025 ab:aa=1,aaabbba=bb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27026 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:26,nodes:16,pairs:4,completionMax:17us [11m12s] 27026 ab:aa=1,aaabbbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27026 ab:aa=1,aaabbbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27027 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:9us [11m12s] 27027 ab:aa=1,aaabbbb=ab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27027 ab:aa=1,aaabbbb=ab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27028 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:283,nodes:34,pairs:1,completionMax:26us [11m12s] 27028 ab:aa=1,aaabbbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27028 ab:aa=1,aaabbbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27029 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:53,nodes:16,pairs:3,completionMax:13us [11m12s] 27029 ab:aa=1,aaabbbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27029 ab:aa=1,aaabbbb=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27030 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:15us [11m12s] 27030 ab:aa=1,aabaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27030 ab:aa=1,aabaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27031 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:30,nodes:8,pairs:1,completionMax:6us [11m12s] 27031 ab:aa=1,aabaaab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27031 ab:aa=1,aabaaab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27032 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:5us [11m12s] 27032 ab:aa=1,aabaaab=ba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27032 ab:aa=1,aabaaab=ba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27033 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 27033 ab:aa=1,aabaaab=bb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27033 ab:aa=1,aabaaab=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27034 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:15,nodes:8,pairs:3,completionMax:10us [11m12s] 27034 ab:aa=1,aabaaba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27034 ab:aa=1,aabaaba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27035 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:83,nodes:12,pairs:4,completionMax:23us [11m12s] 27035 ab:aa=1,aabaaba=ab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27035 ab:aa=1,aabaaba=ab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27036 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:6us [11m12s] 27036 ab:aa=1,aabaaba=ba infinite ab - - ab:aa=1,bb=b [11m12s] from: 27036 ab:aa=1,aabaaba=ba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27037 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:1us [11m12s] 27037 ab:aa=1,aabaaba=bb infinite ab - - ab:aa=1,bba=bb [11m12s] from: 27037 ab:aa=1,aabaaba=bb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 27038 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 27038 ab:aa=1,aabaabb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27038 ab:aa=1,aabaabb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27039 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:24,nodes:12,pairs:1,completionMax:10us [11m12s] 27039 ab:aa=1,aabaabb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27039 ab:aa=1,aabaabb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27040 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:26,nodes:12,pairs:1,completionMax:7us [11m12s] 27040 ab:aa=1,aabaabb=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27040 ab:aa=1,aabaabb=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27041 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 27041 ab:aa=1,aabaabb=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27041 ab:aa=1,aabaabb=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27042 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:36,nodes:10,pairs:3,completionMax:16us [11m12s] 27042 ab:aa=1,aababaa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27042 ab:aa=1,aababaa=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27043 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:32,nodes:8,pairs:1,completionMax:7us [11m12s] 27043 ab:aa=1,aababaa=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27043 ab:aa=1,aababaa=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27044 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:14,nodes:8,pairs:0,completionMax:2us [11m12s] 27044 ab:aa=1,aababaa=bb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27044 ab:aa=1,aababaa=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27045 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:72,nodes:12,pairs:5,completionMax:16us [11m12s] 27045 ab:aa=1,aababab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27045 ab:aa=1,aababab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27046 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:205,nodes:20,pairs:10,completionMax:39us [11m12s] 27046 ab:aa=1,aababab=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27046 ab:aa=1,aababab=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27047 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:193,nodes:18,pairs:10,completionMax:32us [11m12s] 27047 ab:aa=1,aababab=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27047 ab:aa=1,aababab=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27048 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:82,nodes:16,pairs:1,completionMax:11us [11m12s] 27048 ab:aa=1,aababab=bb infinite ab - - ab:aa=1,bbab=babb,babab=bb [11m12s] from: 27048 ab:aa=1,aababab=bb infinite to: 3533 ab:aa=1,babab=bb infinite a=a,b=b [11m12s] # 27049 solved: rounds:2,rules:3,peak:5,longest:5,steps:5,word:0,work:185,nodes:14,pairs:10,completionMax:31us [11m12s] 27049 ab:aa=1,aababba=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27049 ab:aa=1,aababba=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27050 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:903,nodes:24,pairs:14,completionMax:76us [11m12s] 27050 ab:aa=1,aababba=ab finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27050 ab:aa=1,aababba=ab finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27051 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:39,nodes:12,pairs:1,completionMax:7us [11m12s] 27051 ab:aa=1,aababba=ba infinite ab - - ab:aa=1,babb=b [11m12s] from: 27051 ab:aa=1,aababba=ba infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27052 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:359,nodes:20,pairs:7,completionMax:36us [11m12s] 27052 ab:aa=1,aababba=bb infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 27052 ab:aa=1,aababba=bb infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 27053 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:339,nodes:24,pairs:10,completionMax:45us [11m12s] 27053 ab:aa=1,aababbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27053 ab:aa=1,aababbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27054 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:675,nodes:20,pairs:11,completionMax:63us [11m12s] 27054 ab:aa=1,aababbb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27054 ab:aa=1,aababbb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27055 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:40,nodes:16,pairs:1,completionMax:7us [11m12s] 27055 ab:aa=1,aababbb=ba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 27055 ab:aa=1,aababbb=ba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 27056 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:3us [11m12s] 27056 ab:aa=1,aababbb=bb infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 27056 ab:aa=1,aababbb=bb infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 27057 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:2us [11m12s] 27057 ab:aa=1,aabbaab=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27057 ab:aa=1,aabbaab=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27058 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:1,completionMax:7us [11m12s] 27058 ab:aa=1,aabbaab=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27058 ab:aa=1,aabbaab=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27059 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:27,nodes:12,pairs:1,completionMax:5us [11m12s] 27059 ab:aa=1,aabbaab=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27059 ab:aa=1,aabbaab=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27060 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 27060 ab:aa=1,aabbaab=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27060 ab:aa=1,aabbaab=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27061 solved: rounds:4,rules:3,peak:6,longest:5,steps:3,word:0,work:213,nodes:18,pairs:10,completionMax:42us [11m12s] 27061 ab:aa=1,aabbaba=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27061 ab:aa=1,aabbaba=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27062 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1953,nodes:32,pairs:32,completionMax:151us [11m12s] 27062 ab:aa=1,aabbaba=ab finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27062 ab:aa=1,aabbaba=ab finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27063 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:1,completionMax:6us [11m12s] 27063 ab:aa=1,aabbaba=ba infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27063 ab:aa=1,aabbaba=ba infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27064 solved: rounds:2,rules:3,peak:3,longest:5,steps:3,word:0,work:99,nodes:12,pairs:3,completionMax:12us [11m12s] 27064 ab:aa=1,aabbaba=bb infinite ab - - ab:aa=1,bbb=bb,bbab=bba [11m12s] from: 27064 ab:aa=1,aabbaba=bb infinite to: 3512 ab:aa=1,ababb=bb infinite anti:a=a,b=b [11m12s] # 27065 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:264,nodes:22,pairs:9,completionMax:38us [11m12s] 27065 ab:aa=1,aabbabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27065 ab:aa=1,aabbabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27066 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:532,nodes:26,pairs:15,completionMax:57us [11m12s] 27066 ab:aa=1,aabbabb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27066 ab:aa=1,aabbabb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27067 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:526,nodes:24,pairs:15,completionMax:50us [11m12s] 27067 ab:aa=1,aabbabb=ba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27067 ab:aa=1,aabbabb=ba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27068 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:2us [11m12s] 27068 ab:aa=1,aabbabb=bb infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 27068 ab:aa=1,aabbabb=bb infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 27069 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:8,pairs:0,completionMax:3us [11m12s] 27069 ab:aa=1,aabbbaa=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27069 ab:aa=1,aabbbaa=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27070 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:26,nodes:12,pairs:1,completionMax:7us [11m12s] 27070 ab:aa=1,aabbbaa=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27070 ab:aa=1,aabbbaa=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27071 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:3us [11m12s] 27071 ab:aa=1,aabbbaa=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27071 ab:aa=1,aabbbaa=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27072 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:286,nodes:18,pairs:15,completionMax:52us [11m12s] 27072 ab:aa=1,aabbbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27072 ab:aa=1,aabbbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27073 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:43,nodes:12,pairs:1,completionMax:8us [11m12s] 27073 ab:aa=1,aabbbab=ab infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 27073 ab:aa=1,aabbbab=ab infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 27074 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:721,nodes:22,pairs:16,completionMax:68us [11m12s] 27074 ab:aa=1,aabbbab=ba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27074 ab:aa=1,aabbbab=ba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27075 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [11m12s] 27075 ab:aa=1,aabbbab=bb infinite ab - - ab:aa=1,bbbab=bb [11m12s] from: 27075 ab:aa=1,aabbbab=bb infinite to: 3537 ab:aa=1,babbb=bb infinite anti:a=a,b=b [11m12s] # 27076 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:18,nodes:16,pairs:3,completionMax:16us [11m12s] 27076 ab:aa=1,aabbbba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27076 ab:aa=1,aabbbba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27077 solved: rounds:4,rules:3,peak:4,longest:17,steps:19,word:9,work:618,nodes:64,pairs:7,completionMax:65us [11m12s] 27077 ab:aa=1,aabbbba=ab finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27077 ab:aa=1,aabbbba=ab finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27078 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:21,nodes:12,pairs:1,completionMax:8us [11m12s] 27078 ab:aa=1,aabbbba=ba infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27078 ab:aa=1,aabbbba=ba infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27079 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:50,nodes:14,pairs:2,completionMax:13us [11m12s] 27079 ab:aa=1,aabbbba=bb infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 27079 ab:aa=1,aabbbba=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 27080 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:12,pairs:0,completionMax:5us [11m12s] 27080 ab:aa=1,aabbbbb=aa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 27080 ab:aa=1,aabbbbb=aa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 27081 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:33,nodes:20,pairs:1,completionMax:11us [11m12s] 27081 ab:aa=1,aabbbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27081 ab:aa=1,aabbbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27082 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:37,nodes:20,pairs:1,completionMax:8us [11m12s] 27082 ab:aa=1,aabbbbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27082 ab:aa=1,aabbbbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27083 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:4us [11m12s] 27083 ab:aa=1,aabbbbb=bb infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 27083 ab:aa=1,aabbbbb=bb infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 27084 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:22,nodes:8,pairs:4,completionMax:10us [11m12s] 27084 ab:aa=1,abaaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27084 ab:aa=1,abaaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27085 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:20,nodes:8,pairs:1,completionMax:5us [11m12s] 27085 ab:aa=1,abaaaab=ab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27085 ab:aa=1,abaaaab=ab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27086 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:48,nodes:10,pairs:1,completionMax:7us [11m12s] 27086 ab:aa=1,abaaaab=ba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27086 ab:aa=1,abaaaab=ba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27087 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:1us [11m12s] 27087 ab:aa=1,abaaaab=bb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27087 ab:aa=1,abaaaab=bb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27088 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:265,nodes:20,pairs:13,completionMax:36us [11m12s] 27088 ab:aa=1,abaaaba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27088 ab:aa=1,abaaaba=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27089 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:446,nodes:18,pairs:14,completionMax:49us [11m12s] 27089 ab:aa=1,abaaaba=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27089 ab:aa=1,abaaaba=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27090 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:133,nodes:10,pairs:4,completionMax:16us [11m12s] 27090 ab:aa=1,abaaaba=bb infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27090 ab:aa=1,abaaaba=bb infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27091 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:274,nodes:18,pairs:10,completionMax:45us [11m12s] 27091 ab:aa=1,abaaabb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27091 ab:aa=1,abaaabb=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27092 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:6us [11m12s] 27092 ab:aa=1,abaaabb=ab infinite ab - - ab:aa=1,babb=b [11m12s] from: 27092 ab:aa=1,abaaabb=ab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27093 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1955,nodes:32,pairs:32,completionMax:156us [11m12s] 27093 ab:aa=1,abaaabb=ba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27093 ab:aa=1,abaaabb=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27094 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:103,nodes:16,pairs:3,completionMax:15us [11m12s] 27094 ab:aa=1,abaaabb=bb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27094 ab:aa=1,abaaabb=bb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27095 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:144,nodes:14,pairs:7,completionMax:25us [11m12s] 27095 ab:aa=1,abaabab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27095 ab:aa=1,abaabab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27096 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:42,nodes:16,pairs:1,completionMax:10us [11m12s] 27096 ab:aa=1,abaabab=ab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27096 ab:aa=1,abaabab=ab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27097 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:900,nodes:24,pairs:14,completionMax:72us [11m12s] 27097 ab:aa=1,abaabab=ba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27097 ab:aa=1,abaabab=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27098 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:356,nodes:20,pairs:7,completionMax:36us [11m12s] 27098 ab:aa=1,abaabab=bb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 27098 ab:aa=1,abaabab=bb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 27099 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:55,nodes:16,pairs:7,completionMax:22us [11m12s] 27099 ab:aa=1,abaabba=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27099 ab:aa=1,abaabba=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27100 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:212,nodes:22,pairs:14,completionMax:38us [11m12s] 27100 ab:aa=1,abaabba=ab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27100 ab:aa=1,abaabba=ab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27101 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:201,nodes:20,pairs:12,completionMax:35us [11m12s] 27101 ab:aa=1,abaabba=ba finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27101 ab:aa=1,abaabba=ba finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27102 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:596,nodes:22,pairs:6,completionMax:49us [11m12s] 27102 ab:aa=1,abaabba=bb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27102 ab:aa=1,abaabba=bb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27103 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:28,nodes:16,pairs:4,completionMax:14us [11m12s] 27103 ab:aa=1,abaabbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27103 ab:aa=1,abaabbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27104 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:7us [11m12s] 27104 ab:aa=1,abaabbb=ab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27104 ab:aa=1,abaabbb=ab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27105 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:285,nodes:34,pairs:1,completionMax:23us [11m12s] 27105 ab:aa=1,abaabbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27105 ab:aa=1,abaabbb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27106 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:55,nodes:16,pairs:3,completionMax:15us [11m12s] 27106 ab:aa=1,abaabbb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27106 ab:aa=1,abaabbb=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27107 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:276,nodes:18,pairs:10,completionMax:42us [11m12s] 27107 ab:aa=1,ababaab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27107 ab:aa=1,ababaab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27108 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:26,nodes:16,pairs:1,completionMax:6us [11m12s] 27108 ab:aa=1,ababaab=ab infinite ab - - ab:aa=1,babb=b [11m12s] from: 27108 ab:aa=1,ababaab=ab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27109 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1954,nodes:32,pairs:32,completionMax:165us [11m12s] 27109 ab:aa=1,ababaab=ba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27109 ab:aa=1,ababaab=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27110 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:105,nodes:16,pairs:3,completionMax:14us [11m12s] 27110 ab:aa=1,ababaab=bb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27110 ab:aa=1,ababaab=bb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27111 solved: rounds:2,rules:3,peak:4,longest:7,steps:8,word:0,work:264,nodes:18,pairs:9,completionMax:37us [11m12s] 27111 ab:aa=1,abababa=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27111 ab:aa=1,abababa=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27112 solved: rounds:3,rules:3,peak:10,longest:7,steps:8,word:2,work:1963,nodes:40,pairs:38,completionMax:173us [11m12s] 27112 ab:aa=1,abababa=ab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27112 ab:aa=1,abababa=ab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27113 solved: rounds:6,rules:9,peak:13,longest:12,steps:15,word:5,work:14398,nodes:118,pairs:41,completionMax:577us [11m12s] 27113 ab:aa=1,abababa=bb finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,babbbbbbbb=babb,bbabbbbbbb=bbab,bbba=abbb,aa=1,babab=abba,babbabbbbbb=babba,bbaba=babbabbbbb,bbabba=ababbbb [11m12s] # 27114 solved: rounds:4,rules:2,peak:9,longest:8,steps:7,word:6,work:2368,nodes:26,pairs:65,completionMax:290us [11m12s] 27114 ab:aa=1,abababb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27114 ab:aa=1,abababb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27115 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:28,nodes:24,pairs:1,completionMax:5us [11m12s] 27115 ab:aa=1,abababb=ab infinite ab - - ab:aa=1,bababb=b [11m12s] from: 27115 ab:aa=1,abababb=ab infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 27116 solved: rounds:5,rules:6,peak:21,longest:22,steps:13,word:21,work:30752,nodes:132,pairs:101,completionMax:1436us [11m12s] 27116 ab:aa=1,abababb=ba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,babbbbbbbbb=ba,bbba=abbbbbb,aa=1,baba=ababbbbbbb,babba=abbabbbb [11m12s] from: 27116 ab:aa=1,abababb=ba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb to: 26587 ab:aa=1,abababba=b finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb a=a,b=b [11m12s] # 27117 solved: rounds:4,rules:3,peak:3,longest:7,steps:4,word:1,work:191,nodes:24,pairs:7,completionMax:26us [11m12s] 27117 ab:aa=1,abababb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27117 ab:aa=1,abababb=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27118 solved: rounds:3,rules:2,peak:7,longest:8,steps:4,word:3,work:586,nodes:28,pairs:23,completionMax:83us [11m12s] 27118 ab:aa=1,ababbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27118 ab:aa=1,ababbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27119 solved: rounds:3,rules:3,peak:3,longest:7,steps:2,word:0,work:178,nodes:24,pairs:4,completionMax:22us [11m12s] 27119 ab:aa=1,ababbab=ab infinite ab - - ab:aa=1,bbab=babb,bababb=b [11m12s] from: 27119 ab:aa=1,ababbab=ab infinite to: 3399 ab:aa=1,babbab=b infinite a=a,b=b [11m12s] # 27120 solved: rounds:4,rules:7,peak:20,longest:11,steps:8,word:4,work:16979,nodes:98,pairs:112,completionMax:994us [11m12s] 27120 ab:aa=1,ababbab=ba finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbba=abbb,aa=1,babba=ababbbbb,bbaba=abbabbbb,bababa=ababab [11m12s] from: 27120 ab:aa=1,ababbab=ba finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb to: 26593 ab:aa=1,ababbaba=b finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb a=a,b=b [11m12s] # 27121 solved: rounds:4,rules:8,peak:12,longest:10,steps:5,word:2,work:9003,nodes:66,pairs:56,completionMax:357us [11m12s] 27121 ab:aa=1,ababbab=bb infinite b/a - - ab:bbbbbb=bb,bbabbbbb=bbab,bbbbab=abbbbb,aa=1,ababb=babbbb,abbab=bbbabb,abbbab=bbabbbb,bbabab=bbbabbb [11m12s] # 27122 solved: rounds:4,rules:2,peak:6,longest:8,steps:3,word:6,work:476,nodes:24,pairs:35,completionMax:118us [11m12s] 27122 ab:aa=1,ababbba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27122 ab:aa=1,ababbba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27123 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:0,work:277,nodes:28,pairs:15,completionMax:58us [11m12s] 27123 ab:aa=1,ababbba=ab infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 27123 ab:aa=1,ababbba=ab infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 27124 solved: rounds:5,rules:3,peak:6,longest:7,steps:5,word:0,work:959,nodes:26,pairs:26,completionMax:96us [11m12s] 27124 ab:aa=1,ababbba=ba finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27124 ab:aa=1,ababbba=ba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27125 solved: rounds:5,rules:8,peak:15,longest:22,steps:8,word:14,work:18884,nodes:126,pairs:91,completionMax:798us [11m12s] 27125 ab:aa=1,ababbba=bb infinite b/a - - ab:bbbbbb=bb,bbabbbb=bba,bbbba=abbbb,aa=1,ababb=bbabbb,abba=babbb,abbba=bbbabb,bbaba=abbbbb [11m12s] # 27126 solved: rounds:5,rules:3,peak:7,longest:15,steps:11,word:15,work:1564,nodes:42,pairs:21,completionMax:116us [11m12s] 27126 ab:aa=1,ababbbb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 27126 ab:aa=1,ababbbb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 27127 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:28,nodes:24,pairs:1,completionMax:7us [11m12s] 27127 ab:aa=1,ababbbb=ab infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 27127 ab:aa=1,ababbbb=ab infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 27128 solved: rounds:5,rules:13,peak:23,longest:14,steps:13,word:14,work:35201,nodes:130,pairs:109,completionMax:1328us [11m12s] 27128 ab:aa=1,ababbbb=ba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb reversed:b/a - - ab:bbbbbbbbb=b,bbbbbbbbab=ab,abbbbbbbb=bbbbbbbba,aa=1,aba=babbbb,abbbba=bbbbbbbab,abbbbbbba=bbbbabbbbbbb,abbbab=bbbbbbbabbbbba,abbbbbbab=bbbbabbba,abbabb=bbbbbbabbbbbba,abbbbbabbbb=bbbbbbbabba,abbbbbabba=bbbbbabbbbbab,abbbbbabbba=babbab [11m12s] from: 27128 ab:aa=1,ababbbb=ba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26599 ab:aa=1,ababbbba=b finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb a=a,b=b [11m12s] # 27129 solved: rounds:4,rules:3,peak:13,longest:12,steps:11,word:0,work:9106,nodes:54,pairs:40,completionMax:258us [11m12s] 27129 ab:aa=1,ababbbb=bb infinite ab - - ab:aa=1,babb=abbb,bbbbb=bb [11m12s] # 27130 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:145,nodes:14,pairs:7,completionMax:32us [11m12s] 27130 ab:aa=1,abbaaab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27130 ab:aa=1,abbaaab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27131 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:43,nodes:16,pairs:1,completionMax:6us [11m12s] 27131 ab:aa=1,abbaaab=ab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27131 ab:aa=1,abbaaab=ab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27132 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:901,nodes:24,pairs:14,completionMax:68us [11m12s] 27132 ab:aa=1,abbaaab=ba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27132 ab:aa=1,abbaaab=ba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27133 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:357,nodes:20,pairs:7,completionMax:36us [11m12s] 27133 ab:aa=1,abbaaab=bb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 27133 ab:aa=1,abbaaab=bb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 27134 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:29,nodes:16,pairs:4,completionMax:16us [11m12s] 27134 ab:aa=1,abbaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27134 ab:aa=1,abbaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27135 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:25,nodes:16,pairs:1,completionMax:8us [11m12s] 27135 ab:aa=1,abbaabb=ab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27135 ab:aa=1,abbaabb=ab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27136 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:286,nodes:34,pairs:1,completionMax:20us [11m12s] 27136 ab:aa=1,abbaabb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27136 ab:aa=1,abbaabb=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27137 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:56,nodes:16,pairs:3,completionMax:12us [11m12s] 27137 ab:aa=1,abbaabb=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27137 ab:aa=1,abbaabb=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27138 solved: rounds:4,rules:2,peak:6,longest:10,steps:6,word:6,work:740,nodes:30,pairs:30,completionMax:84us [11m12s] 27138 ab:aa=1,abbabab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27138 ab:aa=1,abbabab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27139 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:54,nodes:24,pairs:1,completionMax:9us [11m12s] 27139 ab:aa=1,abbabab=ab infinite ab - - ab:aa=1,bbabab=b [11m12s] from: 27139 ab:aa=1,abbabab=ab infinite to: 3397 ab:aa=1,bababb=b infinite anti:a=a,b=b [11m12s] # 27140 solved: rounds:4,rules:6,peak:20,longest:13,steps:12,word:12,work:19296,nodes:146,pairs:95,completionMax:743us [11m12s] 27140 ab:aa=1,abbabab=ba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,babbbbbbbbb=ba,bbba=abbbbbb,aa=1,baba=ababbbb,babba=abbabbbbbbb [11m12s] # 27141 solved: rounds:4,rules:8,peak:16,longest:11,steps:5,word:1,work:14704,nodes:92,pairs:104,completionMax:608us [11m12s] 27141 ab:aa=1,abbabab=bb infinite b/a - - ab:bbbbbbb=bbb,babbbbbb=babb,bbbbabb=abbbbbb,aa=1,ababb=bbabbb,abbabb=babbbbb,abbbabb=bbbabbbb,bbabab=abb [11m12s] # 27142 solved: rounds:2,rules:2,peak:5,longest:12,steps:8,word:6,work:602,nodes:36,pairs:13,completionMax:62us [11m12s] 27142 ab:aa=1,abbabba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27142 ab:aa=1,abbabba=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27143 solved: rounds:3,rules:3,peak:11,longest:7,steps:6,word:0,work:2490,nodes:36,pairs:38,completionMax:193us [11m12s] 27143 ab:aa=1,abbabba=ab finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27143 ab:aa=1,abbabba=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27144 solved: rounds:3,rules:12,peak:14,longest:7,steps:4,word:5,work:1367,nodes:51,pairs:30,completionMax:152us [11m12s] 27144 ab:aa=1,abbabba=bb infinite b/ca bba=c frequency:3/0 abc:bbbbbb=bb,cbbbb=c,bbbbc=c,abb=bbcbb,bba=c,cc=bbcbb,cbbc=bb,ca=bb,cba=cbbbc,ac=cbb,abc=bbcbc,aa=1 [11m12s] # 27145 solved: rounds:4,rules:3,peak:6,longest:7,steps:7,word:0,work:650,nodes:24,pairs:17,completionMax:70us [11m12s] 27145 ab:aa=1,abbabbb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 27145 ab:aa=1,abbabbb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 27146 solved: rounds:3,rules:3,peak:5,longest:8,steps:5,word:0,work:1024,nodes:26,pairs:9,completionMax:44us [11m12s] 27146 ab:aa=1,abbabbb=ab infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 27146 ab:aa=1,abbabbb=ab infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 27147 solved: rounds:4,rules:11,peak:28,longest:17,steps:6,word:8,work:45768,nodes:156,pairs:254,completionMax:2742us [11m12s] 27147 ab:aa=1,abbabbb=ba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,aa=1,aba=bbabbb,abba=babbbbb,abbba=bbbbbbab,abbbba=bbbbabbbb,abbbbba=bbbbbbbabb,abbbbbba=bbbabbbbbbb,abbbbbbba=bbbbbabbbbbb [11m12s] from: 27147 ab:aa=1,abbabbb=ba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26619 ab:aa=1,abbabbba=b finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb a=a,b=b [11m12s] # 27148 solved: rounds:4,rules:3,peak:9,longest:8,steps:4,word:0,work:3110,nodes:54,pairs:38,completionMax:198us [11m12s] 27148 ab:aa=1,abbabbb=bb infinite ab - - ab:aa=1,babb=abbb,bbbbb=bb [11m12s] from: 27148 ab:aa=1,abbabbb=bb infinite to: 27129 ab:aa=1,ababbbb=bb infinite a=a,b=b [11m12s] # 27149 solved: rounds:2,rules:2,peak:3,longest:8,steps:1,word:3,work:30,nodes:16,pairs:4,completionMax:15us [11m12s] 27149 ab:aa=1,abbbaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27149 ab:aa=1,abbbaab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27150 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:26,nodes:16,pairs:1,completionMax:6us [11m12s] 27150 ab:aa=1,abbbaab=ab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27150 ab:aa=1,abbbaab=ab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27151 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:287,nodes:34,pairs:1,completionMax:20us [11m12s] 27151 ab:aa=1,abbbaab=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27151 ab:aa=1,abbbaab=ba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27152 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:57,nodes:16,pairs:3,completionMax:19us [11m12s] 27152 ab:aa=1,abbbaab=bb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27152 ab:aa=1,abbbaab=bb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27153 solved: rounds:2,rules:3,peak:5,longest:7,steps:6,word:0,work:304,nodes:24,pairs:7,completionMax:38us [11m12s] 27153 ab:aa=1,abbbabb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 27153 ab:aa=1,abbbabb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 27154 solved: rounds:3,rules:3,peak:5,longest:7,steps:3,word:0,work:498,nodes:32,pairs:12,completionMax:56us [11m12s] 27154 ab:aa=1,abbbabb=ab infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 27154 ab:aa=1,abbbabb=ab infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 27155 solved: rounds:4,rules:11,peak:25,longest:15,steps:10,word:11,work:42535,nodes:138,pairs:179,completionMax:2322us [11m12s] 27155 ab:aa=1,abbbabb=ba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,aa=1,aba=bbbabb,abba=bbbbbab,abbba=babbbbbb,abbbba=bbbbabbbb,abbbbba=bbabbbbbbb,abbbbbba=bbbbbbbabbb,abbbbbbba=bbbbbbabbbbb [11m12s] # 27156 solved: rounds:4,rules:7,peak:10,longest:7,steps:3,word:2,work:567,nodes:42,pairs:29,completionMax:88us [11m12s] 27156 ab:aa=1,abbbabb=bb infinite ac/b bb=c frequency:2/0 abc:aa=1,cccc=c,cccac=ac,bc=ccc,bac=ccac,cb=ccc,bb=c [11m12s] # 27157 solved: rounds:4,rules:3,peak:5,longest:42,steps:25,word:45,work:7162,nodes:86,pairs:16,completionMax:260us [11m12s] 27157 ab:aa=1,abbbbab=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 27157 ab:aa=1,abbbbab=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 27158 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:54,nodes:24,pairs:1,completionMax:10us [11m12s] 27158 ab:aa=1,abbbbab=ab infinite ab - - ab:aa=1,bbbbab=b [11m12s] from: 27158 ab:aa=1,abbbbab=ab infinite to: 3401 ab:aa=1,babbbb=b infinite anti:a=a,b=b [11m12s] # 27159 solved: rounds:4,rules:13,peak:28,longest:15,steps:11,word:14,work:66767,nodes:172,pairs:255,completionMax:2916us [11m12s] 27159 ab:aa=1,abbbbab=ba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,aa=1,aba=bbbbab,abbbba=babbbbbbb,abbbbbbba=bbbbbbbabbbb,babbba=abbbbbabbbbbbb,babbbbbba=abbbabbbb,bbabba=abbbbbbabbbbbb,bbbbabbbbba=abbabbbbbbb,abbabbbbba=babbbbbabbbbb,abbbabbbbba=babbab [11m12s] from: 27159 ab:aa=1,abbbbab=ba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26599 ab:aa=1,ababbbba=b finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb anti:a=a,b=b [11m12s] # 27160 solved: rounds:5,rules:4,peak:7,longest:18,steps:21,word:12,work:6003,nodes:78,pairs:14,completionMax:305us [11m12s] 27160 ab:aa=1,abbbbab=bb infinite b/a - - ab:bbbbbbbbbbbbbbbbb=bb,babb=abbbbbb,bbab=abbbbbbbbb,aa=1 [11m12s] # 27161 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:0,work:69,nodes:24,pairs:7,completionMax:22us [11m12s] 27161 ab:aa=1,abbbbba=aa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 27161 ab:aa=1,abbbbba=aa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 27162 solved: rounds:3,rules:3,peak:5,longest:11,steps:1,word:3,work:299,nodes:38,pairs:14,completionMax:60us [11m12s] 27162 ab:aa=1,abbbbba=ab finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27162 ab:aa=1,abbbbba=ab finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27163 solved: rounds:4,rules:4,peak:6,longest:40,steps:16,word:33,work:11430,nodes:130,pairs:15,completionMax:567us [11m12s] 27163 ab:aa=1,abbbbba=bb infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbb=bb,babb=abbbbbbbbbbbbbbb,bba=abbbbb,aa=1 [11m12s] # 27164 solved: rounds:2,rules:2,peak:3,longest:12,steps:1,word:5,work:34,nodes:24,pairs:4,completionMax:20us [11m12s] 27164 ab:aa=1,abbbbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 27164 ab:aa=1,abbbbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 27165 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:28,nodes:24,pairs:1,completionMax:11us [11m12s] 27165 ab:aa=1,abbbbbb=ab infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 27165 ab:aa=1,abbbbbb=ab infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 27166 solved: rounds:1,rules:3,peak:3,longest:36,steps:41,word:30,work:1086,nodes:74,pairs:1,completionMax:121us [11m12s] 27166 ab:aa=1,abbbbbb=ba finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbb,aa=1 [11m12s] from: 27166 ab:aa=1,abbbbbb=ba finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 26637 ab:aa=1,abbbbbba=b finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27167 solved: rounds:2,rules:3,peak:3,longest:10,steps:1,word:3,work:79,nodes:24,pairs:3,completionMax:18us [11m12s] 27167 ab:aa=1,abbbbbb=bb infinite b/a - - ab:bbbbbbbbbb=bb,abb=bbbbbb,aa=1 [11m12s] # 27168 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:35,nodes:10,pairs:3,completionMax:13us [11m12s] 27168 ab:aa=1,baaaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27168 ab:aa=1,baaaaab=aa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27169 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:31,nodes:8,pairs:1,completionMax:7us [11m12s] 27169 ab:aa=1,baaaaab=ab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27169 ab:aa=1,baaaaab=ab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27170 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:1us [11m12s] 27170 ab:aa=1,baaaaab=bb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27170 ab:aa=1,baaaaab=bb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27171 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:2us [11m12s] 27171 ab:aa=1,baaaabb=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27171 ab:aa=1,baaaabb=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27172 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:1,completionMax:7us [11m12s] 27172 ab:aa=1,baaaabb=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27172 ab:aa=1,baaaabb=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27173 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:27,nodes:12,pairs:1,completionMax:7us [11m12s] 27173 ab:aa=1,baaaabb=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27173 ab:aa=1,baaaabb=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27174 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:1us [11m12s] 27174 ab:aa=1,baaaabb=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27174 ab:aa=1,baaaabb=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27175 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:73,nodes:12,pairs:5,completionMax:16us [11m12s] 27175 ab:aa=1,baaabab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27175 ab:aa=1,baaabab=aa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27176 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:206,nodes:20,pairs:10,completionMax:35us [11m12s] 27176 ab:aa=1,baaabab=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27176 ab:aa=1,baaabab=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27177 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:194,nodes:18,pairs:10,completionMax:27us [11m12s] 27177 ab:aa=1,baaabab=ba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27177 ab:aa=1,baaabab=ba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27178 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:83,nodes:16,pairs:1,completionMax:6us [11m12s] 27178 ab:aa=1,baaabab=bb infinite ab - - ab:aa=1,bbab=babb,babab=bb [11m12s] from: 27178 ab:aa=1,baaabab=bb infinite to: 3533 ab:aa=1,babab=bb infinite a=a,b=b [11m12s] # 27179 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:340,nodes:24,pairs:10,completionMax:32us [11m12s] 27179 ab:aa=1,baaabbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27179 ab:aa=1,baaabbb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27180 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:676,nodes:20,pairs:11,completionMax:48us [11m12s] 27180 ab:aa=1,baaabbb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27180 ab:aa=1,baaabbb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27181 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:41,nodes:16,pairs:1,completionMax:6us [11m12s] 27181 ab:aa=1,baaabbb=ba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 27181 ab:aa=1,baaabbb=ba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 27182 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m12s] 27182 ab:aa=1,baaabbb=bb infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 27182 ab:aa=1,baaabbb=bb infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 27183 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:8,pairs:0,completionMax:2us [11m12s] 27183 ab:aa=1,baabaab=aa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27183 ab:aa=1,baabaab=aa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27184 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:26,nodes:12,pairs:1,completionMax:6us [11m12s] 27184 ab:aa=1,baabaab=ab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27184 ab:aa=1,baabaab=ab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27185 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:2us [11m12s] 27185 ab:aa=1,baabaab=bb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27185 ab:aa=1,baabaab=bb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27186 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:265,nodes:22,pairs:9,completionMax:37us [11m12s] 27186 ab:aa=1,baababb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27186 ab:aa=1,baababb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27187 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:533,nodes:26,pairs:15,completionMax:54us [11m12s] 27187 ab:aa=1,baababb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27187 ab:aa=1,baababb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27188 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:527,nodes:24,pairs:15,completionMax:45us [11m12s] 27188 ab:aa=1,baababb=ba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27188 ab:aa=1,baababb=ba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27189 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:2us [11m12s] 27189 ab:aa=1,baababb=bb infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 27189 ab:aa=1,baababb=bb infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 27190 solved: rounds:3,rules:2,peak:5,longest:8,steps:6,word:6,work:287,nodes:18,pairs:15,completionMax:45us [11m12s] 27190 ab:aa=1,baabbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27190 ab:aa=1,baabbab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27191 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:44,nodes:12,pairs:1,completionMax:6us [11m12s] 27191 ab:aa=1,baabbab=ab infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 27191 ab:aa=1,baabbab=ab infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 27192 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:722,nodes:22,pairs:16,completionMax:73us [11m12s] 27192 ab:aa=1,baabbab=ba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27192 ab:aa=1,baabbab=ba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27193 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m12s] 27193 ab:aa=1,baabbab=bb infinite ab - - ab:aa=1,bbbab=bb [11m12s] from: 27193 ab:aa=1,baabbab=bb infinite to: 3537 ab:aa=1,babbb=bb infinite anti:a=a,b=b [11m12s] # 27194 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:12,pairs:0,completionMax:2us [11m12s] 27194 ab:aa=1,baabbbb=aa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 27194 ab:aa=1,baabbbb=aa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 27195 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:34,nodes:20,pairs:1,completionMax:12us [11m12s] 27195 ab:aa=1,baabbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27195 ab:aa=1,baabbbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27196 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:38,nodes:20,pairs:1,completionMax:14us [11m12s] 27196 ab:aa=1,baabbbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27196 ab:aa=1,baabbbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27197 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:4us [11m12s] 27197 ab:aa=1,baabbbb=bb infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 27197 ab:aa=1,baabbbb=bb infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 27198 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:342,nodes:24,pairs:10,completionMax:31us [11m12s] 27198 ab:aa=1,babaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27198 ab:aa=1,babaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27199 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:678,nodes:20,pairs:11,completionMax:55us [11m12s] 27199 ab:aa=1,babaabb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27199 ab:aa=1,babaabb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27200 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:43,nodes:16,pairs:1,completionMax:7us [11m12s] 27200 ab:aa=1,babaabb=ba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 27200 ab:aa=1,babaabb=ba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 27201 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:16,nodes:12,pairs:0,completionMax:2us [11m12s] 27201 ab:aa=1,babaabb=bb infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 27201 ab:aa=1,babaabb=bb infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 27202 solved: rounds:2,rules:2,peak:4,longest:8,steps:7,word:3,work:212,nodes:18,pairs:7,completionMax:22us [11m12s] 27202 ab:aa=1,bababab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27202 ab:aa=1,bababab=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27203 solved: rounds:2,rules:3,peak:5,longest:7,steps:4,word:0,work:431,nodes:26,pairs:9,completionMax:38us [11m12s] 27203 ab:aa=1,bababab=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27203 ab:aa=1,bababab=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27204 solved: rounds:1,rules:3,peak:3,longest:7,steps:3,word:0,work:115,nodes:20,pairs:2,completionMax:10us [11m12s] 27204 ab:aa=1,bababab=bb infinite ab - - ab:aa=1,bbab=babb,bababab=bb [11m12s] # 27205 solved: rounds:7,rules:3,peak:11,longest:42,steps:25,word:45,work:12622,nodes:86,pairs:92,completionMax:654us [11m12s] 27205 ab:aa=1,bababbb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 27205 ab:aa=1,bababbb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 27206 solved: rounds:4,rules:3,peak:8,longest:11,steps:12,word:6,work:2382,nodes:48,pairs:21,completionMax:146us [11m12s] 27206 ab:aa=1,bababbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27206 ab:aa=1,bababbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27207 solved: rounds:3,rules:3,peak:5,longest:9,steps:5,word:6,work:1020,nodes:32,pairs:17,completionMax:68us [11m12s] 27207 ab:aa=1,bababbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27207 ab:aa=1,bababbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27208 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:15,nodes:16,pairs:0,completionMax:2us [11m12s] 27208 ab:aa=1,bababbb=bb infinite ab - - ab:aa=1,bababbb=bb [11m12s] # 27209 solved: rounds:2,rules:3,peak:4,longest:7,steps:9,word:0,work:320,nodes:16,pairs:6,completionMax:21us [11m12s] 27209 ab:aa=1,babbabb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 27209 ab:aa=1,babbabb=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 27210 solved: rounds:4,rules:3,peak:10,longest:9,steps:6,word:3,work:3266,nodes:48,pairs:39,completionMax:151us [11m12s] 27210 ab:aa=1,babbabb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27210 ab:aa=1,babbabb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27211 solved: rounds:2,rules:3,peak:5,longest:9,steps:3,word:6,work:311,nodes:30,pairs:12,completionMax:35us [11m12s] 27211 ab:aa=1,babbabb=ba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27211 ab:aa=1,babbabb=ba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27212 solved: rounds:2,rules:3,peak:3,longest:7,steps:3,word:0,work:224,nodes:22,pairs:4,completionMax:25us [11m12s] 27212 ab:aa=1,babbabb=bb infinite ab - - ab:aa=1,bbabb=babbb,bababbb=bb [11m12s] # 27213 solved: rounds:3,rules:3,peak:10,longest:8,steps:8,word:0,work:2493,nodes:38,pairs:63,completionMax:215us [11m12s] 27213 ab:aa=1,babbbab=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 27213 ab:aa=1,babbbab=aa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 27214 solved: rounds:3,rules:3,peak:8,longest:9,steps:4,word:6,work:1792,nodes:42,pairs:50,completionMax:231us [11m12s] 27214 ab:aa=1,babbbab=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27214 ab:aa=1,babbbab=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27215 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:0,work:109,nodes:24,pairs:1,completionMax:15us [11m12s] 27215 ab:aa=1,babbbab=bb infinite ab - - ab:aa=1,bbbbab=babbbb,babbbab=bb [11m12s] # 27216 solved: rounds:3,rules:2,peak:5,longest:12,steps:7,word:5,work:679,nodes:40,pairs:20,completionMax:73us [11m12s] 27216 ab:aa=1,babbbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 27216 ab:aa=1,babbbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 27217 solved: rounds:4,rules:3,peak:8,longest:16,steps:8,word:20,work:3638,nodes:54,pairs:28,completionMax:231us [11m12s] 27217 ab:aa=1,babbbbb=ab finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=abbbbbbbbbbbb,aa=1 [11m12s] from: 27217 ab:aa=1,babbbbb=ab finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba to: 26601 ab:aa=1,ababbbbb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba a=a,b=b [11m12s] # 27218 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:0,work:52,nodes:24,pairs:1,completionMax:11us [11m12s] 27218 ab:aa=1,babbbbb=ba infinite ab - - ab:aa=1,bbbbbb=b,babbbbb=ba [11m12s] from: 27218 ab:aa=1,babbbbb=ba infinite to: 26635 ab:aa=1,abbbbbab=b infinite anti:a=a,b=b [11m12s] # 27219 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:15,nodes:16,pairs:0,completionMax:2us [11m12s] 27219 ab:aa=1,babbbbb=bb infinite ab - - ab:aa=1,babbbbb=bb [11m12s] # 27220 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:266,nodes:22,pairs:9,completionMax:34us [11m12s] 27220 ab:aa=1,bbaaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27220 ab:aa=1,bbaaabb=aa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27221 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:534,nodes:26,pairs:15,completionMax:60us [11m12s] 27221 ab:aa=1,bbaaabb=ab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27221 ab:aa=1,bbaaabb=ab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27222 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:25,nodes:12,pairs:0,completionMax:3us [11m12s] 27222 ab:aa=1,bbaaabb=bb infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 27222 ab:aa=1,bbaaabb=bb infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 27223 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:12,pairs:0,completionMax:5us [11m12s] 27223 ab:aa=1,bbaabbb=aa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 27223 ab:aa=1,bbaabbb=aa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 27224 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:35,nodes:20,pairs:1,completionMax:12us [11m12s] 27224 ab:aa=1,bbaabbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27224 ab:aa=1,bbaabbb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27225 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:39,nodes:20,pairs:1,completionMax:9us [11m12s] 27225 ab:aa=1,bbaabbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27225 ab:aa=1,bbaabbb=ba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27226 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:4us [11m12s] 27226 ab:aa=1,bbaabbb=bb infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 27226 ab:aa=1,bbaabbb=bb infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 27227 solved: rounds:5,rules:3,peak:13,longest:42,steps:25,word:45,work:13298,nodes:86,pairs:91,completionMax:722us [11m12s] 27227 ab:aa=1,bbababb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 27227 ab:aa=1,bbababb=aa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 27228 solved: rounds:3,rules:3,peak:9,longest:10,steps:5,word:6,work:2554,nodes:52,pairs:50,completionMax:254us [11m12s] 27228 ab:aa=1,bbababb=ab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27228 ab:aa=1,bbababb=ab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27229 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:29,nodes:16,pairs:0,completionMax:4us [11m12s] 27229 ab:aa=1,bbababb=bb infinite ab - - ab:aa=1,bbababb=bb [11m12s] # 27230 solved: rounds:3,rules:2,peak:6,longest:12,steps:5,word:5,work:1189,nodes:40,pairs:19,completionMax:75us [11m12s] 27230 ab:aa=1,bbabbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 27230 ab:aa=1,bbabbbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 27231 solved: rounds:3,rules:3,peak:9,longest:8,steps:8,word:0,work:2683,nodes:48,pairs:26,completionMax:153us [11m12s] 27231 ab:aa=1,bbabbbb=ab finite:22;idempotents:1,bbbbb,abbbbba ab - - ab:aa=1,bab=abb,bbbbbb=b [11m12s] from: 27231 ab:aa=1,bbabbbb=ab finite:22;idempotents:1,bbbbb,abbbbba to: 26621 ab:aa=1,abbabbbb=b finite:22;idempotents:1,bbbbb,abbbbba a=a,b=b [11m12s] # 27232 solved: rounds:4,rules:3,peak:8,longest:18,steps:12,word:15,work:6768,nodes:88,pairs:35,completionMax:342us [11m12s] 27232 ab:aa=1,bbabbbb=ba finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba reversed:b/a - - ab:bbbbbbbbbbbbbbbb=b,bab=bbbbbbbbbbbba,aa=1 [11m12s] from: 27232 ab:aa=1,bbabbbb=ba finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba to: 26601 ab:aa=1,ababbbbb=b finite:62;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba anti:a=a,b=b [11m12s] # 27233 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:29,nodes:16,pairs:0,completionMax:4us [11m12s] 27233 ab:aa=1,bbabbbb=bb infinite ab - - ab:aa=1,bbabbbb=bb [11m12s] # 27234 solved: rounds:2,rules:2,peak:5,longest:12,steps:5,word:5,work:543,nodes:32,pairs:12,completionMax:54us [11m12s] 27234 ab:aa=1,bbbabbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 27234 ab:aa=1,bbbabbb=aa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 27235 solved: rounds:3,rules:3,peak:6,longest:8,steps:6,word:0,work:1159,nodes:30,pairs:21,completionMax:64us [11m12s] 27235 ab:aa=1,bbbabbb=ab finite:22;idempotents:1,bbbbb,abbbbba ab - - ab:aa=1,bab=abb,bbbbbb=b [11m12s] from: 27235 ab:aa=1,bbbabbb=ab finite:22;idempotents:1,bbbbb,abbbbba to: 26621 ab:aa=1,abbabbbb=b finite:22;idempotents:1,bbbbb,abbbbba a=a,b=b [11m12s] # 27236 solved: rounds:2,rules:3,peak:3,longest:7,steps:4,word:0,work:561,nodes:22,pairs:7,completionMax:31us [11m12s] 27236 ab:aa=1,bbbabbb=bb infinite ab - - ab:aa=1,bbbabb=bbabbb,bbabbbb=bb [11m12s] # 27237 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:2,nodes:16,pairs:0,completionMax:4us [11m12s] 27237 ab:aa=1,bbbbbbb=aa infinite;group:a-a,b-bbbbbb ab - - ab:aa=1,bbbbbbb=1 [11m12s] from: 27237 ab:aa=1,bbbbbbb=aa infinite;group:a-a,b-bbbbbb to: 3271 ab:aa=1,bbbbbbb=1 infinite;group:a-a,b-bbbbbb a=a,b=b [11m12s] # 27238 solved: rounds:1,rules:3,peak:3,longest:13,steps:1,word:5,work:43,nodes:28,pairs:1,completionMax:15us [11m12s] 27238 ab:aa=1,bbbbbbb=ab finite:26;idempotents:1,bbbbbba,bbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbb=b,ab=bbbbbbb,aa=1 [11m12s] from: 27238 ab:aa=1,bbbbbbb=ab finite:26;idempotents:1,bbbbbba,bbbbbbbbbbbb to: 26639 ab:aa=1,abbbbbbb=b finite:26;idempotents:1,bbbbbba,bbbbbbbbbbbb a=a,b=b [11m12s] # 27239 solved: rounds:0,rules:2,peak:2,longest:7,steps:1,word:0,work:28,nodes:16,pairs:0,completionMax:4us [11m12s] 27239 ab:aa=1,bbbbbbb=bb infinite ab - - ab:aa=1,bbbbbbb=bb [11m12s] # 27240 solved: rounds:3,rules:2,peak:3,longest:7,steps:1,word:0,work:118,nodes:14,pairs:3,completionMax:23us [11m12s] 27240 ab:ab=1,aaaaaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27240 ab:ab=1,aaaaaaa=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27241 solved: rounds:1,rules:2,peak:3,longest:7,steps:1,word:0,work:9,nodes:14,pairs:1,completionMax:7us [11m12s] 27241 ab:ab=1,aaaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27241 ab:ab=1,aaaaaaa=ab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27242 solved: rounds:2,rules:2,peak:4,longest:8,steps:1,word:5,work:70,nodes:18,pairs:4,completionMax:20us [11m12s] 27242 ab:ab=1,aaaaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27242 ab:ab=1,aaaaaaa=ba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27243 solved: rounds:2,rules:2,peak:4,longest:15,steps:2,word:7,work:446,nodes:32,pairs:4,completionMax:52us [11m12s] 27243 ab:ab=1,aaaaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a a/b - - ab:aaaaaaaaa=1,b=aaaaaaaa [11m12s] from: 27243 ab:ab=1,aaaaaaa=bb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaaa,b=a [11m12s] # 27244 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:87,nodes:10,pairs:3,completionMax:18us [11m12s] 27244 ab:ab=1,aaaaaab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27244 ab:ab=1,aaaaaab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27245 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:14,nodes:10,pairs:1,completionMax:6us [11m12s] 27245 ab:ab=1,aaaaaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27245 ab:ab=1,aaaaaab=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27246 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:59,nodes:14,pairs:4,completionMax:23us [11m12s] 27246 ab:ab=1,aaaaaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27246 ab:ab=1,aaaaaab=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27247 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:245,nodes:24,pairs:4,completionMax:28us [11m12s] 27247 ab:ab=1,aaaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27247 ab:ab=1,aaaaaab=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27248 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:86,nodes:10,pairs:3,completionMax:15us [11m12s] 27248 ab:ab=1,aaaaaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27248 ab:ab=1,aaaaaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27249 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:13,nodes:10,pairs:1,completionMax:4us [11m12s] 27249 ab:ab=1,aaaaaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27249 ab:ab=1,aaaaaba=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27250 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:58,nodes:14,pairs:4,completionMax:24us [11m12s] 27250 ab:ab=1,aaaaaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27250 ab:ab=1,aaaaaba=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27251 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:244,nodes:24,pairs:4,completionMax:43us [11m12s] 27251 ab:ab=1,aaaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27251 ab:ab=1,aaaaaba=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27252 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:59,nodes:6,pairs:3,completionMax:10us [11m12s] 27252 ab:ab=1,aaaaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27252 ab:ab=1,aaaaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27253 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:6,pairs:1,completionMax:5us [11m12s] 27253 ab:ab=1,aaaaabb=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27253 ab:ab=1,aaaaabb=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27254 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:45,nodes:10,pairs:4,completionMax:18us [11m12s] 27254 ab:ab=1,aaaaabb=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27254 ab:ab=1,aaaaabb=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27255 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:105,nodes:16,pairs:4,completionMax:22us [11m12s] 27255 ab:ab=1,aaaaabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27255 ab:ab=1,aaaaabb=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27256 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:85,nodes:10,pairs:3,completionMax:24us [11m12s] 27256 ab:ab=1,aaaabaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27256 ab:ab=1,aaaabaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27257 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:12,nodes:10,pairs:1,completionMax:8us [11m12s] 27257 ab:ab=1,aaaabaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27257 ab:ab=1,aaaabaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27258 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:57,nodes:14,pairs:4,completionMax:18us [11m12s] 27258 ab:ab=1,aaaabaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27258 ab:ab=1,aaaabaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27259 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:243,nodes:24,pairs:4,completionMax:29us [11m12s] 27259 ab:ab=1,aaaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27259 ab:ab=1,aaaabaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27260 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:58,nodes:6,pairs:3,completionMax:13us [11m12s] 27260 ab:ab=1,aaaabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27260 ab:ab=1,aaaabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27261 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:6,pairs:1,completionMax:4us [11m12s] 27261 ab:ab=1,aaaabab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27261 ab:ab=1,aaaabab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27262 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:10,pairs:4,completionMax:12us [11m12s] 27262 ab:ab=1,aaaabab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27262 ab:ab=1,aaaabab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27263 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:104,nodes:16,pairs:4,completionMax:17us [11m12s] 27263 ab:ab=1,aaaabab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27263 ab:ab=1,aaaabab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27264 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:57,nodes:6,pairs:3,completionMax:8us [11m12s] 27264 ab:ab=1,aaaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27264 ab:ab=1,aaaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27265 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:3us [11m12s] 27265 ab:ab=1,aaaabba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27265 ab:ab=1,aaaabba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27266 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:11us [11m12s] 27266 ab:ab=1,aaaabba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27266 ab:ab=1,aaaabba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27267 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:103,nodes:16,pairs:4,completionMax:16us [11m12s] 27267 ab:ab=1,aaaabba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27267 ab:ab=1,aaaabba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27268 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:21,nodes:4,pairs:2,completionMax:5us [11m12s] 27268 ab:ab=1,aaaabbb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27268 ab:ab=1,aaaabbb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27269 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:14,nodes:4,pairs:1,completionMax:4us [11m12s] 27269 ab:ab=1,aaaabbb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27269 ab:ab=1,aaaabbb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27270 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:27,nodes:6,pairs:4,completionMax:11us [11m12s] 27270 ab:ab=1,aaaabbb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27270 ab:ab=1,aaaabbb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27271 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:26,nodes:8,pairs:2,completionMax:10us [11m12s] 27271 ab:ab=1,aaaabbb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27271 ab:ab=1,aaaabbb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27272 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:84,nodes:10,pairs:3,completionMax:23us [11m12s] 27272 ab:ab=1,aaabaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27272 ab:ab=1,aaabaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27273 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:11,nodes:10,pairs:1,completionMax:5us [11m12s] 27273 ab:ab=1,aaabaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27273 ab:ab=1,aaabaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27274 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:56,nodes:14,pairs:4,completionMax:15us [11m12s] 27274 ab:ab=1,aaabaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27274 ab:ab=1,aaabaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27275 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:242,nodes:24,pairs:4,completionMax:27us [11m12s] 27275 ab:ab=1,aaabaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27275 ab:ab=1,aaabaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27276 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:57,nodes:6,pairs:3,completionMax:11us [11m12s] 27276 ab:ab=1,aaabaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27276 ab:ab=1,aaabaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27277 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:14,nodes:6,pairs:1,completionMax:4us [11m12s] 27277 ab:ab=1,aaabaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27277 ab:ab=1,aaabaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27278 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:10,pairs:4,completionMax:12us [11m12s] 27278 ab:ab=1,aaabaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27278 ab:ab=1,aaabaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27279 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:103,nodes:16,pairs:4,completionMax:19us [11m12s] 27279 ab:ab=1,aaabaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27279 ab:ab=1,aaabaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27280 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:56,nodes:6,pairs:3,completionMax:8us [11m12s] 27280 ab:ab=1,aaababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27280 ab:ab=1,aaababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27281 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:5us [11m12s] 27281 ab:ab=1,aaababa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27281 ab:ab=1,aaababa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27282 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:10,pairs:4,completionMax:13us [11m12s] 27282 ab:ab=1,aaababa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27282 ab:ab=1,aaababa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27283 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:102,nodes:16,pairs:4,completionMax:24us [11m12s] 27283 ab:ab=1,aaababa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27283 ab:ab=1,aaababa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27284 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:20,nodes:4,pairs:2,completionMax:6us [11m12s] 27284 ab:ab=1,aaababb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27284 ab:ab=1,aaababb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27285 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:13,nodes:4,pairs:1,completionMax:2us [11m12s] 27285 ab:ab=1,aaababb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27285 ab:ab=1,aaababb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27286 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:26,nodes:6,pairs:4,completionMax:11us [11m12s] 27286 ab:ab=1,aaababb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27286 ab:ab=1,aaababb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27287 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:25,nodes:8,pairs:2,completionMax:6us [11m12s] 27287 ab:ab=1,aaababb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27287 ab:ab=1,aaababb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27288 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:10us [11m12s] 27288 ab:ab=1,aaabbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27288 ab:ab=1,aaabbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27289 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:5us [11m12s] 27289 ab:ab=1,aaabbaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27289 ab:ab=1,aaabbaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27290 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:10,pairs:4,completionMax:13us [11m12s] 27290 ab:ab=1,aaabbaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27290 ab:ab=1,aaabbaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27291 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:17us [11m12s] 27291 ab:ab=1,aaabbaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27291 ab:ab=1,aaabbaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27292 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:4us [11m12s] 27292 ab:ab=1,aaabbab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27292 ab:ab=1,aaabbab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27293 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:3us [11m12s] 27293 ab:ab=1,aaabbab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27293 ab:ab=1,aaabbab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27294 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:25,nodes:6,pairs:4,completionMax:12us [11m12s] 27294 ab:ab=1,aaabbab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27294 ab:ab=1,aaabbab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27295 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:24,nodes:8,pairs:2,completionMax:9us [11m12s] 27295 ab:ab=1,aaabbab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27295 ab:ab=1,aaabbab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27296 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:6us [11m12s] 27296 ab:ab=1,aaabbba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27296 ab:ab=1,aaabbba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27297 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 27297 ab:ab=1,aaabbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27297 ab:ab=1,aaabbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27298 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:10us [11m12s] 27298 ab:ab=1,aaabbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27298 ab:ab=1,aaabbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27299 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:23,nodes:8,pairs:2,completionMax:7us [11m12s] 27299 ab:ab=1,aaabbba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27299 ab:ab=1,aaabbba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27300 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:83,nodes:10,pairs:3,completionMax:19us [11m12s] 27300 ab:ab=1,aabaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27300 ab:ab=1,aabaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27301 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:10,nodes:10,pairs:1,completionMax:6us [11m12s] 27301 ab:ab=1,aabaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27301 ab:ab=1,aabaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27302 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:55,nodes:14,pairs:4,completionMax:20us [11m12s] 27302 ab:ab=1,aabaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27302 ab:ab=1,aabaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27303 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:241,nodes:24,pairs:4,completionMax:35us [11m12s] 27303 ab:ab=1,aabaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27303 ab:ab=1,aabaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27304 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:56,nodes:6,pairs:3,completionMax:12us [11m12s] 27304 ab:ab=1,aabaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27304 ab:ab=1,aabaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27305 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:5us [11m12s] 27305 ab:ab=1,aabaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27305 ab:ab=1,aabaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27306 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:10,pairs:4,completionMax:17us [11m12s] 27306 ab:ab=1,aabaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27306 ab:ab=1,aabaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27307 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:102,nodes:16,pairs:4,completionMax:20us [11m12s] 27307 ab:ab=1,aabaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27307 ab:ab=1,aabaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27308 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:9us [11m12s] 27308 ab:ab=1,aabaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27308 ab:ab=1,aabaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27309 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:3us [11m12s] 27309 ab:ab=1,aabaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27309 ab:ab=1,aabaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27310 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:10,pairs:4,completionMax:11us [11m12s] 27310 ab:ab=1,aabaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27310 ab:ab=1,aabaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27311 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:17us [11m12s] 27311 ab:ab=1,aabaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27311 ab:ab=1,aabaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27312 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:19,nodes:4,pairs:2,completionMax:4us [11m12s] 27312 ab:ab=1,aabaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27312 ab:ab=1,aabaabb=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27313 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 27313 ab:ab=1,aabaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27313 ab:ab=1,aabaabb=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27314 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:25,nodes:6,pairs:4,completionMax:6us [11m12s] 27314 ab:ab=1,aabaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27314 ab:ab=1,aabaabb=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27315 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:24,nodes:8,pairs:2,completionMax:5us [11m12s] 27315 ab:ab=1,aabaabb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27315 ab:ab=1,aabaabb=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27316 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:8us [11m12s] 27316 ab:ab=1,aababaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27316 ab:ab=1,aababaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27317 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:5us [11m12s] 27317 ab:ab=1,aababaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27317 ab:ab=1,aababaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27318 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:10,pairs:4,completionMax:16us [11m12s] 27318 ab:ab=1,aababaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27318 ab:ab=1,aababaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27319 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:100,nodes:16,pairs:4,completionMax:25us [11m12s] 27319 ab:ab=1,aababaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27319 ab:ab=1,aababaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27320 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:18,nodes:4,pairs:2,completionMax:5us [11m12s] 27320 ab:ab=1,aababab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27320 ab:ab=1,aababab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27321 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 27321 ab:ab=1,aababab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27321 ab:ab=1,aababab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27322 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:24,nodes:6,pairs:4,completionMax:10us [11m12s] 27322 ab:ab=1,aababab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27322 ab:ab=1,aababab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27323 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:23,nodes:8,pairs:2,completionMax:8us [11m12s] 27323 ab:ab=1,aababab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27323 ab:ab=1,aababab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27324 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:6us [11m12s] 27324 ab:ab=1,aababba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27324 ab:ab=1,aababba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27325 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 27325 ab:ab=1,aababba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27325 ab:ab=1,aababba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27326 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:7us [11m12s] 27326 ab:ab=1,aababba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27326 ab:ab=1,aababba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27327 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:22,nodes:8,pairs:2,completionMax:6us [11m12s] 27327 ab:ab=1,aababba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27327 ab:ab=1,aababba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27328 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:11us [11m12s] 27328 ab:ab=1,aabbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27328 ab:ab=1,aabbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27329 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:5us [11m12s] 27329 ab:ab=1,aabbaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27329 ab:ab=1,aabbaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27330 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:10,pairs:4,completionMax:18us [11m12s] 27330 ab:ab=1,aabbaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27330 ab:ab=1,aabbaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27331 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:99,nodes:16,pairs:4,completionMax:24us [11m12s] 27331 ab:ab=1,aabbaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27331 ab:ab=1,aabbaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27332 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:6us [11m12s] 27332 ab:ab=1,aabbaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27332 ab:ab=1,aabbaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27333 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 27333 ab:ab=1,aabbaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27333 ab:ab=1,aabbaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27334 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:10us [11m12s] 27334 ab:ab=1,aabbaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27334 ab:ab=1,aabbaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27335 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:22,nodes:8,pairs:2,completionMax:8us [11m12s] 27335 ab:ab=1,aabbaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27335 ab:ab=1,aabbaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27336 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:5us [11m12s] 27336 ab:ab=1,aabbaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27336 ab:ab=1,aabbaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27337 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 27337 ab:ab=1,aabbaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27337 ab:ab=1,aabbaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27338 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:8us [11m12s] 27338 ab:ab=1,aabbaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27338 ab:ab=1,aabbaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27339 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:21,nodes:8,pairs:2,completionMax:6us [11m12s] 27339 ab:ab=1,aabbaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27339 ab:ab=1,aabbaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27340 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:20us [11m12s] 27340 ab:ab=1,aabbbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27340 ab:ab=1,aabbbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27341 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:20us [11m12s] 27341 ab:ab=1,aabbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27341 ab:ab=1,aabbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27342 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:17us [11m12s] 27342 ab:ab=1,aabbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27342 ab:ab=1,aabbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27343 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:93,nodes:14,pairs:5,completionMax:22us [11m12s] 27343 ab:ab=1,aabbbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27343 ab:ab=1,aabbbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27344 solved: rounds:1,rules:2,peak:2,longest:3,steps:3,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m12s] 27344 ab:ab=1,aabbbab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27344 ab:ab=1,aabbbab=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27345 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 27345 ab:ab=1,aabbbab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27345 ab:ab=1,aabbbab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27346 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:3,completionMax:9us [11m12s] 27346 ab:ab=1,aabbbab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27346 ab:ab=1,aabbbab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27347 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:6,pairs:2,completionMax:4us [11m12s] 27347 ab:ab=1,aabbbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27347 ab:ab=1,aabbbab=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27348 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:55,nodes:8,pairs:9,completionMax:18us [11m12s] 27348 ab:ab=1,aabbbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27348 ab:ab=1,aabbbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27349 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:15us [11m12s] 27349 ab:ab=1,aabbbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27349 ab:ab=1,aabbbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27350 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:7,completionMax:21us [11m12s] 27350 ab:ab=1,aabbbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27350 ab:ab=1,aabbbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27351 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:8,pairs:6,completionMax:20us [11m12s] 27351 ab:ab=1,aabbbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27351 ab:ab=1,aabbbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27352 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:82,nodes:10,pairs:3,completionMax:26us [11m12s] 27352 ab:ab=1,abaaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27352 ab:ab=1,abaaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27353 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:6us [11m12s] 27353 ab:ab=1,abaaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27353 ab:ab=1,abaaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27354 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:54,nodes:14,pairs:4,completionMax:17us [11m12s] 27354 ab:ab=1,abaaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27354 ab:ab=1,abaaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27355 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:240,nodes:24,pairs:4,completionMax:35us [11m12s] 27355 ab:ab=1,abaaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27355 ab:ab=1,abaaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27356 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:16us [11m12s] 27356 ab:ab=1,abaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27356 ab:ab=1,abaaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27357 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:5us [11m12s] 27357 ab:ab=1,abaaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27357 ab:ab=1,abaaaab=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27358 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:10,pairs:4,completionMax:13us [11m12s] 27358 ab:ab=1,abaaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27358 ab:ab=1,abaaaab=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27359 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:29us [11m12s] 27359 ab:ab=1,abaaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27359 ab:ab=1,abaaaab=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27360 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:12us [11m12s] 27360 ab:ab=1,abaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27360 ab:ab=1,abaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27361 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:6us [11m12s] 27361 ab:ab=1,abaaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27361 ab:ab=1,abaaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27362 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:10,pairs:4,completionMax:18us [11m12s] 27362 ab:ab=1,abaaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27362 ab:ab=1,abaaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27363 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:100,nodes:16,pairs:4,completionMax:25us [11m12s] 27363 ab:ab=1,abaaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27363 ab:ab=1,abaaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27364 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:12us [11m12s] 27364 ab:ab=1,abaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27364 ab:ab=1,abaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27365 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m12s] 27365 ab:ab=1,abaabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27365 ab:ab=1,abaabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27366 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:10,pairs:4,completionMax:14us [11m12s] 27366 ab:ab=1,abaabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27366 ab:ab=1,abaabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27367 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:99,nodes:16,pairs:4,completionMax:22us [11m12s] 27367 ab:ab=1,abaabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27367 ab:ab=1,abaabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27368 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:17,nodes:4,pairs:2,completionMax:4us [11m12s] 27368 ab:ab=1,abaabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27368 ab:ab=1,abaabab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27369 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 27369 ab:ab=1,abaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27369 ab:ab=1,abaabab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27370 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:23,nodes:6,pairs:4,completionMax:8us [11m12s] 27370 ab:ab=1,abaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27370 ab:ab=1,abaabab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27371 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:22,nodes:8,pairs:2,completionMax:7us [11m12s] 27371 ab:ab=1,abaabab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27371 ab:ab=1,abaabab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27372 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:4us [11m12s] 27372 ab:ab=1,abaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27372 ab:ab=1,abaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27373 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 27373 ab:ab=1,abaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27373 ab:ab=1,abaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27374 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:7us [11m12s] 27374 ab:ab=1,abaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27374 ab:ab=1,abaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27375 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:21,nodes:8,pairs:2,completionMax:10us [11m12s] 27375 ab:ab=1,abaabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27375 ab:ab=1,abaabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27376 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:6,pairs:3,completionMax:10us [11m12s] 27376 ab:ab=1,ababaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27376 ab:ab=1,ababaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27377 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:5us [11m12s] 27377 ab:ab=1,ababaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27377 ab:ab=1,ababaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27378 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:38,nodes:10,pairs:4,completionMax:19us [11m12s] 27378 ab:ab=1,ababaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27378 ab:ab=1,ababaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27379 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:98,nodes:16,pairs:4,completionMax:28us [11m12s] 27379 ab:ab=1,ababaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27379 ab:ab=1,ababaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27380 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:16,nodes:4,pairs:2,completionMax:6us [11m12s] 27380 ab:ab=1,ababaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27380 ab:ab=1,ababaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27381 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 27381 ab:ab=1,ababaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27381 ab:ab=1,ababaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27382 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:22,nodes:6,pairs:4,completionMax:9us [11m12s] 27382 ab:ab=1,ababaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27382 ab:ab=1,ababaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27383 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:21,nodes:8,pairs:2,completionMax:8us [11m12s] 27383 ab:ab=1,ababaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27383 ab:ab=1,ababaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27384 solved: rounds:2,rules:2,peak:3,longest:2,steps:3,word:0,work:15,nodes:4,pairs:2,completionMax:5us [11m12s] 27384 ab:ab=1,abababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27384 ab:ab=1,abababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27385 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:2us [11m12s] 27385 ab:ab=1,abababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27385 ab:ab=1,abababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27386 solved: rounds:2,rules:2,peak:4,longest:2,steps:3,word:0,work:21,nodes:6,pairs:4,completionMax:9us [11m12s] 27386 ab:ab=1,abababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27386 ab:ab=1,abababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27387 solved: rounds:1,rules:2,peak:4,longest:3,steps:3,word:1,work:20,nodes:8,pairs:2,completionMax:7us [11m12s] 27387 ab:ab=1,abababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27387 ab:ab=1,abababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27388 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:7,completionMax:19us [11m12s] 27388 ab:ab=1,ababbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27388 ab:ab=1,ababbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27389 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:19us [11m12s] 27389 ab:ab=1,ababbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27389 ab:ab=1,ababbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27390 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:49,nodes:8,pairs:6,completionMax:17us [11m12s] 27390 ab:ab=1,ababbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27390 ab:ab=1,ababbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27391 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:92,nodes:14,pairs:5,completionMax:23us [11m12s] 27391 ab:ab=1,ababbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27391 ab:ab=1,ababbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27392 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:54,nodes:8,pairs:9,completionMax:23us [11m12s] 27392 ab:ab=1,ababbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27392 ab:ab=1,ababbba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27393 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:16us [11m12s] 27393 ab:ab=1,ababbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27393 ab:ab=1,ababbba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27394 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:7,completionMax:17us [11m12s] 27394 ab:ab=1,ababbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27394 ab:ab=1,ababbba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27395 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:8,pairs:6,completionMax:19us [11m12s] 27395 ab:ab=1,ababbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27395 ab:ab=1,ababbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27396 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:200,nodes:16,pairs:14,completionMax:36us [11m12s] 27396 ab:ab=1,abbaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27396 ab:ab=1,abbaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27397 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:97,nodes:16,pairs:10,completionMax:34us [11m12s] 27397 ab:ab=1,abbaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27397 ab:ab=1,abbaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27398 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:91,nodes:16,pairs:7,completionMax:28us [11m12s] 27398 ab:ab=1,abbaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27398 ab:ab=1,abbaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27399 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:390,nodes:26,pairs:5,completionMax:43us [11m12s] 27399 ab:ab=1,abbaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27399 ab:ab=1,abbaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27400 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:21us [11m12s] 27400 ab:ab=1,abbaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27400 ab:ab=1,abbaaab=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27401 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:19us [11m12s] 27401 ab:ab=1,abbaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27401 ab:ab=1,abbaaab=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27402 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:17us [11m12s] 27402 ab:ab=1,abbaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27402 ab:ab=1,abbaaab=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27403 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:95,nodes:14,pairs:5,completionMax:18us [11m12s] 27403 ab:ab=1,abbaaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27403 ab:ab=1,abbaaab=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27404 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:15us [11m12s] 27404 ab:ab=1,abbaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27404 ab:ab=1,abbaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27405 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:12us [11m12s] 27405 ab:ab=1,abbaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27405 ab:ab=1,abbaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27406 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:12us [11m12s] 27406 ab:ab=1,abbaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27406 ab:ab=1,abbaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27407 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:94,nodes:14,pairs:5,completionMax:16us [11m12s] 27407 ab:ab=1,abbaaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27407 ab:ab=1,abbaaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27408 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:14us [11m12s] 27408 ab:ab=1,abbabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27408 ab:ab=1,abbabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27409 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:11us [11m12s] 27409 ab:ab=1,abbabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27409 ab:ab=1,abbabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27410 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:11us [11m12s] 27410 ab:ab=1,abbabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27410 ab:ab=1,abbabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27411 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:93,nodes:14,pairs:5,completionMax:16us [11m12s] 27411 ab:ab=1,abbabaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27411 ab:ab=1,abbabaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27412 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:55,nodes:8,pairs:9,completionMax:13us [11m12s] 27412 ab:ab=1,abbabba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27412 ab:ab=1,abbabba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27413 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:19us [11m12s] 27413 ab:ab=1,abbabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27413 ab:ab=1,abbabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27414 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:7,completionMax:17us [11m12s] 27414 ab:ab=1,abbabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27414 ab:ab=1,abbabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27415 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:8,pairs:6,completionMax:26us [11m12s] 27415 ab:ab=1,abbabba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27415 ab:ab=1,abbabba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27416 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:237,nodes:16,pairs:22,completionMax:62us [11m12s] 27416 ab:ab=1,abbbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27416 ab:ab=1,abbbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27417 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:115,nodes:16,pairs:21,completionMax:45us [11m12s] 27417 ab:ab=1,abbbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27417 ab:ab=1,abbbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27418 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:170,nodes:16,pairs:20,completionMax:51us [11m12s] 27418 ab:ab=1,abbbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27418 ab:ab=1,abbbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27419 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:154,nodes:16,pairs:7,completionMax:36us [11m12s] 27419 ab:ab=1,abbbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27419 ab:ab=1,abbbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27420 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:56,nodes:8,pairs:9,completionMax:28us [11m12s] 27420 ab:ab=1,abbbaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27420 ab:ab=1,abbbaba=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27421 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:22us [11m12s] 27421 ab:ab=1,abbbaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27421 ab:ab=1,abbbaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27422 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:7,completionMax:23us [11m12s] 27422 ab:ab=1,abbbaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27422 ab:ab=1,abbbaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27423 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:8,pairs:6,completionMax:24us [11m12s] 27423 ab:ab=1,abbbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27423 ab:ab=1,abbbaba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27424 solved: rounds:4,rules:2,peak:8,longest:5,steps:2,word:1,work:368,nodes:20,pairs:22,completionMax:88us [11m12s] 27424 ab:ab=1,abbbbaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27424 ab:ab=1,abbbbaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27425 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:79,nodes:14,pairs:8,completionMax:34us [11m12s] 27425 ab:ab=1,abbbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27425 ab:ab=1,abbbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27426 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:154,nodes:14,pairs:21,completionMax:49us [11m12s] 27426 ab:ab=1,abbbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27426 ab:ab=1,abbbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27427 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:240,nodes:14,pairs:20,completionMax:55us [11m12s] 27427 ab:ab=1,abbbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27427 ab:ab=1,abbbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27428 solved: rounds:2,rules:2,peak:7,longest:5,steps:4,word:3,work:357,nodes:16,pairs:15,completionMax:62us [11m12s] 27428 ab:ab=1,abbbbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27428 ab:ab=1,abbbbba=aa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27429 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:1,work:202,nodes:12,pairs:10,completionMax:47us [11m12s] 27429 ab:ab=1,abbbbba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27429 ab:ab=1,abbbbba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27430 solved: rounds:4,rules:2,peak:6,longest:5,steps:2,word:1,work:199,nodes:12,pairs:18,completionMax:69us [11m12s] 27430 ab:ab=1,abbbbba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27430 ab:ab=1,abbbbba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27431 solved: rounds:4,rules:2,peak:5,longest:5,steps:4,word:0,work:245,nodes:12,pairs:20,completionMax:37us [11m12s] 27431 ab:ab=1,abbbbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27431 ab:ab=1,abbbbba=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27432 solved: rounds:3,rules:2,peak:6,longest:7,steps:2,word:1,work:373,nodes:24,pairs:28,completionMax:93us [11m12s] 27432 ab:ab=1,baaaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27432 ab:ab=1,baaaaaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27433 solved: rounds:2,rules:2,peak:5,longest:7,steps:2,word:3,work:177,nodes:24,pairs:12,completionMax:41us [11m12s] 27433 ab:ab=1,baaaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27433 ab:ab=1,baaaaaa=ab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27434 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:129,nodes:24,pairs:7,completionMax:41us [11m12s] 27434 ab:ab=1,baaaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27434 ab:ab=1,baaaaaa=ba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27435 solved: rounds:2,rules:2,peak:4,longest:18,steps:2,word:5,work:890,nodes:38,pairs:5,completionMax:63us [11m12s] 27435 ab:ab=1,baaaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27435 ab:ab=1,baaaaaa=bb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27436 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:204,nodes:16,pairs:14,completionMax:39us [11m12s] 27436 ab:ab=1,baaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27436 ab:ab=1,baaaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27437 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:101,nodes:16,pairs:10,completionMax:29us [11m12s] 27437 ab:ab=1,baaaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27437 ab:ab=1,baaaaba=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27438 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:95,nodes:16,pairs:7,completionMax:27us [11m12s] 27438 ab:ab=1,baaaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27438 ab:ab=1,baaaaba=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27439 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:394,nodes:26,pairs:5,completionMax:31us [11m12s] 27439 ab:ab=1,baaaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27439 ab:ab=1,baaaaba=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27440 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:203,nodes:16,pairs:14,completionMax:40us [11m12s] 27440 ab:ab=1,baaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27440 ab:ab=1,baaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27441 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:100,nodes:16,pairs:10,completionMax:25us [11m12s] 27441 ab:ab=1,baaabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27441 ab:ab=1,baaabaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27442 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:94,nodes:16,pairs:7,completionMax:28us [11m12s] 27442 ab:ab=1,baaabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27442 ab:ab=1,baaabaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27443 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:393,nodes:26,pairs:5,completionMax:31us [11m12s] 27443 ab:ab=1,baaabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27443 ab:ab=1,baaabaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27444 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:89,nodes:10,pairs:7,completionMax:18us [11m12s] 27444 ab:ab=1,baaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27444 ab:ab=1,baaabba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27445 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:46,nodes:8,pairs:8,completionMax:17us [11m12s] 27445 ab:ab=1,baaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27445 ab:ab=1,baaabba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27446 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:54,nodes:8,pairs:6,completionMax:16us [11m12s] 27446 ab:ab=1,baaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27446 ab:ab=1,baaabba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27447 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:97,nodes:14,pairs:5,completionMax:22us [11m12s] 27447 ab:ab=1,baaabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27447 ab:ab=1,baaabba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27448 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:202,nodes:16,pairs:14,completionMax:33us [11m12s] 27448 ab:ab=1,baabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27448 ab:ab=1,baabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27449 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:99,nodes:16,pairs:10,completionMax:32us [11m12s] 27449 ab:ab=1,baabaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27449 ab:ab=1,baabaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27450 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:93,nodes:16,pairs:7,completionMax:25us [11m12s] 27450 ab:ab=1,baabaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27450 ab:ab=1,baabaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27451 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:392,nodes:26,pairs:5,completionMax:29us [11m12s] 27451 ab:ab=1,baabaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27451 ab:ab=1,baabaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27452 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:88,nodes:10,pairs:7,completionMax:16us [11m12s] 27452 ab:ab=1,baababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27452 ab:ab=1,baababa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27453 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:45,nodes:8,pairs:8,completionMax:12us [11m12s] 27453 ab:ab=1,baababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27453 ab:ab=1,baababa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27454 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:53,nodes:8,pairs:6,completionMax:12us [11m12s] 27454 ab:ab=1,baababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27454 ab:ab=1,baababa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27455 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:96,nodes:14,pairs:5,completionMax:17us [11m12s] 27455 ab:ab=1,baababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27455 ab:ab=1,baababa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27456 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:14us [11m12s] 27456 ab:ab=1,baabbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27456 ab:ab=1,baabbaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27457 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:11us [11m12s] 27457 ab:ab=1,baabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27457 ab:ab=1,baabbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27458 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:11us [11m12s] 27458 ab:ab=1,baabbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27458 ab:ab=1,baabbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27459 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:95,nodes:14,pairs:5,completionMax:17us [11m12s] 27459 ab:ab=1,baabbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27459 ab:ab=1,baabbaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27460 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:201,nodes:16,pairs:14,completionMax:37us [11m12s] 27460 ab:ab=1,babaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27460 ab:ab=1,babaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27461 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:98,nodes:16,pairs:10,completionMax:29us [11m12s] 27461 ab:ab=1,babaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27461 ab:ab=1,babaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27462 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:92,nodes:16,pairs:7,completionMax:29us [11m12s] 27462 ab:ab=1,babaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27462 ab:ab=1,babaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27463 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:391,nodes:26,pairs:5,completionMax:31us [11m12s] 27463 ab:ab=1,babaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27463 ab:ab=1,babaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27464 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:33us [11m12s] 27464 ab:ab=1,babaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27464 ab:ab=1,babaaba=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27465 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:25us [11m12s] 27465 ab:ab=1,babaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27465 ab:ab=1,babaaba=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27466 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:12us [11m12s] 27466 ab:ab=1,babaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27466 ab:ab=1,babaaba=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27467 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:95,nodes:14,pairs:5,completionMax:36us [11m12s] 27467 ab:ab=1,babaaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27467 ab:ab=1,babaaba=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27468 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:31us [11m12s] 27468 ab:ab=1,bababaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27468 ab:ab=1,bababaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27469 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:16us [11m12s] 27469 ab:ab=1,bababaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27469 ab:ab=1,bababaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27470 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:17us [11m12s] 27470 ab:ab=1,bababaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27470 ab:ab=1,bababaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27471 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:1,work:94,nodes:14,pairs:5,completionMax:17us [11m12s] 27471 ab:ab=1,bababaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27471 ab:ab=1,bababaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27472 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:238,nodes:16,pairs:22,completionMax:44us [11m12s] 27472 ab:ab=1,babbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27472 ab:ab=1,babbaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27473 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:116,nodes:16,pairs:21,completionMax:32us [11m12s] 27473 ab:ab=1,babbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27473 ab:ab=1,babbaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27474 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:171,nodes:16,pairs:20,completionMax:54us [11m12s] 27474 ab:ab=1,babbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27474 ab:ab=1,babbaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27475 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:155,nodes:16,pairs:7,completionMax:40us [11m12s] 27475 ab:ab=1,babbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27475 ab:ab=1,babbaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27476 solved: rounds:4,rules:2,peak:8,longest:5,steps:2,word:1,work:369,nodes:20,pairs:22,completionMax:61us [11m12s] 27476 ab:ab=1,babbbaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27476 ab:ab=1,babbbaa=aa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27477 solved: rounds:2,rules:2,peak:7,longest:5,steps:3,word:0,work:80,nodes:14,pairs:8,completionMax:26us [11m12s] 27477 ab:ab=1,babbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27477 ab:ab=1,babbbaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27478 solved: rounds:3,rules:2,peak:6,longest:5,steps:3,word:0,work:155,nodes:14,pairs:21,completionMax:45us [11m12s] 27478 ab:ab=1,babbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27478 ab:ab=1,babbbaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27479 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:241,nodes:14,pairs:20,completionMax:51us [11m12s] 27479 ab:ab=1,babbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27479 ab:ab=1,babbbaa=bb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27480 solved: rounds:3,rules:2,peak:7,longest:7,steps:4,word:0,work:530,nodes:28,pairs:31,completionMax:79us [11m12s] 27480 ab:ab=1,bbaaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27480 ab:ab=1,bbaaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27481 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:228,nodes:28,pairs:16,completionMax:38us [11m12s] 27481 ab:ab=1,bbaaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27481 ab:ab=1,bbaaaaa=ab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27482 solved: rounds:3,rules:2,peak:7,longest:7,steps:3,word:1,work:341,nodes:28,pairs:26,completionMax:63us [11m12s] 27482 ab:ab=1,bbaaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27482 ab:ab=1,bbaaaaa=ba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27483 solved: rounds:3,rules:2,peak:5,longest:7,steps:3,word:3,work:206,nodes:24,pairs:7,completionMax:43us [11m12s] 27483 ab:ab=1,bbaaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27483 ab:ab=1,bbaaaaa=bb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27484 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:240,nodes:16,pairs:22,completionMax:42us [11m12s] 27484 ab:ab=1,bbaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27484 ab:ab=1,bbaabaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27485 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:118,nodes:16,pairs:21,completionMax:31us [11m12s] 27485 ab:ab=1,bbaabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27485 ab:ab=1,bbaabaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27486 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:173,nodes:16,pairs:20,completionMax:37us [11m12s] 27486 ab:ab=1,bbaabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27486 ab:ab=1,bbaabaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27487 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:157,nodes:16,pairs:7,completionMax:29us [11m12s] 27487 ab:ab=1,bbaabaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27487 ab:ab=1,bbaabaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27488 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:239,nodes:16,pairs:22,completionMax:41us [11m12s] 27488 ab:ab=1,bbabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27488 ab:ab=1,bbabaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27489 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:117,nodes:16,pairs:21,completionMax:30us [11m12s] 27489 ab:ab=1,bbabaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27489 ab:ab=1,bbabaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27490 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:172,nodes:16,pairs:20,completionMax:33us [11m12s] 27490 ab:ab=1,bbabaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27490 ab:ab=1,bbabaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27491 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:156,nodes:16,pairs:7,completionMax:35us [11m12s] 27491 ab:ab=1,bbabaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27491 ab:ab=1,bbabaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27492 solved: rounds:3,rules:2,peak:8,longest:7,steps:4,word:0,work:350,nodes:28,pairs:61,completionMax:199us [11m12s] 27492 ab:ab=1,bbbaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27492 ab:ab=1,bbbaaaa=aa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27493 solved: rounds:3,rules:2,peak:7,longest:7,steps:5,word:0,work:203,nodes:22,pairs:21,completionMax:34us [11m12s] 27493 ab:ab=1,bbbaaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27493 ab:ab=1,bbbaaaa=ab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27494 solved: rounds:4,rules:2,peak:10,longest:7,steps:4,word:0,work:593,nodes:26,pairs:60,completionMax:91us [11m12s] 27494 ab:ab=1,bbbaaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27494 ab:ab=1,bbbaaaa=ba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27495 solved: rounds:4,rules:2,peak:9,longest:7,steps:3,word:1,work:608,nodes:26,pairs:40,completionMax:130us [11m12s] 27495 ab:ab=1,bbbaaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27495 ab:ab=1,bbbaaaa=bb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27496 solved: rounds:0,rules:1,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:0,completionMax:2us [11m12s] 27496 ab:aa=1,aaaaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m12s] from: 27496 ab:aa=1,aaaaaa=aaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m12s] # 27497 solved: rounds:0,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:0,completionMax:2us [11m12s] 27497 ab:aa=1,aaaaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 27497 ab:aa=1,aaaaaa=aab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27498 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:0,work:37,nodes:8,pairs:7,completionMax:17us [11m12s] 27498 ab:aa=1,aaaaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 27498 ab:aa=1,aaaaaa=aba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27499 solved: rounds:2,rules:2,peak:3,longest:4,steps:3,word:1,work:18,nodes:8,pairs:4,completionMax:8us [11m12s] 27499 ab:aa=1,aaaaaa=abb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27499 ab:aa=1,aaaaaa=abb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27500 solved: rounds:2,rules:2,peak:4,longest:4,steps:3,word:1,work:33,nodes:10,pairs:3,completionMax:9us [11m12s] 27500 ab:aa=1,aaaaaa=bab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27500 ab:aa=1,aaaaaa=bab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27501 solved: rounds:0,rules:2,peak:2,longest:3,steps:3,word:0,work:6,nodes:8,pairs:0,completionMax:1us [11m12s] 27501 ab:aa=1,aaaaaa=bbb infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27501 ab:aa=1,aaaaaa=bbb infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27502 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:3us [11m12s] 27502 ab:aa=1,aaaaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 27502 ab:aa=1,aaaaab=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27503 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 27503 ab:aa=1,aaaaab=aab infinite ab - - ab:aa=1,ab=b [11m12s] from: 27503 ab:aa=1,aaaaab=aab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 27504 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:8,pairs:2,completionMax:6us [11m12s] 27504 ab:aa=1,aaaaab=aba infinite ab - - ab:aa=1,ba=b [11m12s] from: 27504 ab:aa=1,aaaaab=aba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 27505 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:16,nodes:8,pairs:1,completionMax:4us [11m12s] 27505 ab:aa=1,aaaaab=abb infinite ab - - ab:aa=1,bb=b [11m12s] from: 27505 ab:aa=1,aaaaab=abb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27506 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 27506 ab:aa=1,aaaaab=baa infinite ab - - ab:aa=1,ab=b [11m12s] from: 27506 ab:aa=1,aaaaab=baa infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 27507 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:4us [11m12s] 27507 ab:aa=1,aaaaab=bab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27507 ab:aa=1,aaaaab=bab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27508 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:82,nodes:12,pairs:4,completionMax:12us [11m12s] 27508 ab:aa=1,aaaaab=bba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27508 ab:aa=1,aaaaab=bba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27509 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:23,nodes:12,pairs:1,completionMax:9us [11m12s] 27509 ab:aa=1,aaaaab=bbb finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27509 ab:aa=1,aaaaab=bbb finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27510 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m12s] 27510 ab:aa=1,aaaaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 27510 ab:aa=1,aaaaba=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27511 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:3us [11m12s] 27511 ab:aa=1,aaaaba=aab infinite ab - - ab:aa=1,ba=b [11m12s] from: 27511 ab:aa=1,aaaaba=aab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 27512 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:23,nodes:6,pairs:2,completionMax:7us [11m12s] 27512 ab:aa=1,aaaaba=aba infinite ab - - ab:aa=1,ab=b [11m12s] from: 27512 ab:aa=1,aaaaba=aba infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 27513 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:44,nodes:10,pairs:1,completionMax:5us [11m12s] 27513 ab:aa=1,aaaaba=abb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27513 ab:aa=1,aaaaba=abb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27514 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [11m12s] 27514 ab:aa=1,aaaaba=baa infinite ab - - ab:aa=1,ba=b [11m12s] from: 27514 ab:aa=1,aaaaba=baa infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 27515 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:28,nodes:8,pairs:1,completionMax:5us [11m12s] 27515 ab:aa=1,aaaaba=bab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27515 ab:aa=1,aaaaba=bab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27516 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:15,nodes:8,pairs:1,completionMax:7us [11m12s] 27516 ab:aa=1,aaaaba=bba infinite ab - - ab:aa=1,bb=b [11m12s] from: 27516 ab:aa=1,aaaaba=bba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27517 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:1,completionMax:6us [11m12s] 27517 ab:aa=1,aaaaba=bbb finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27517 ab:aa=1,aaaaba=bbb finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27518 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:16,nodes:8,pairs:2,completionMax:7us [11m12s] 27518 ab:aa=1,aaaabb=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27518 ab:aa=1,aaaabb=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27519 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:2us [11m12s] 27519 ab:aa=1,aaaabb=aab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27519 ab:aa=1,aaaabb=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27520 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:137,nodes:16,pairs:8,completionMax:19us [11m12s] 27520 ab:aa=1,aaaabb=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27520 ab:aa=1,aaaabb=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27521 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:0,completionMax:2us [11m12s] 27521 ab:aa=1,aaaabb=abb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27521 ab:aa=1,aaaabb=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27522 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:1us [11m12s] 27522 ab:aa=1,aaaabb=baa infinite ab - - ab:aa=1,bb=b [11m12s] from: 27522 ab:aa=1,aaaabb=baa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27523 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:8,pairs:0,completionMax:5us [11m12s] 27523 ab:aa=1,aaaabb=bab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27523 ab:aa=1,aaaabb=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27524 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 27524 ab:aa=1,aaaabb=bba infinite ab - - ab:aa=1,bba=bb [11m12s] from: 27524 ab:aa=1,aaaabb=bba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 27525 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:2us [11m12s] 27525 ab:aa=1,aaaabb=bbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27525 ab:aa=1,aaaabb=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27526 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:8us [11m12s] 27526 ab:aa=1,aaabaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 27526 ab:aa=1,aaabaa=aaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 27527 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:3us [11m12s] 27527 ab:aa=1,aaabaa=aab infinite ab - - ab:aa=1,ab=b [11m12s] from: 27527 ab:aa=1,aaabaa=aab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 27528 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:25,nodes:8,pairs:2,completionMax:12us [11m12s] 27528 ab:aa=1,aaabaa=aba infinite ab - - ab:aa=1,ba=b [11m12s] from: 27528 ab:aa=1,aaabaa=aba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 27529 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:18,nodes:8,pairs:1,completionMax:6us [11m12s] 27529 ab:aa=1,aaabaa=abb infinite ab - - ab:aa=1,bb=b [11m12s] from: 27529 ab:aa=1,aaabaa=abb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27530 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:4,pairs:0,completionMax:2us [11m12s] 27530 ab:aa=1,aaabaa=baa infinite ab - - ab:aa=1,ab=b [11m12s] from: 27530 ab:aa=1,aaabaa=baa infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 27531 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:31,nodes:8,pairs:1,completionMax:5us [11m12s] 27531 ab:aa=1,aaabaa=bab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27531 ab:aa=1,aaabaa=bab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27532 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:84,nodes:12,pairs:4,completionMax:17us [11m12s] 27532 ab:aa=1,aaabaa=bba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27532 ab:aa=1,aaabaa=bba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27533 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:1,completionMax:11us [11m12s] 27533 ab:aa=1,aaabaa=bbb finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27533 ab:aa=1,aaabaa=bbb finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27534 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:81,nodes:14,pairs:11,completionMax:36us [11m12s] 27534 ab:aa=1,aaabab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27534 ab:aa=1,aaabab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27535 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:6,completionMax:17us [11m12s] 27535 ab:aa=1,aaabab=aab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27535 ab:aa=1,aaabab=aab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27536 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:97,nodes:12,pairs:5,completionMax:12us [11m12s] 27536 ab:aa=1,aaabab=aba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27536 ab:aa=1,aaabab=aba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27537 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:36,nodes:12,pairs:2,completionMax:6us [11m12s] 27537 ab:aa=1,aaabab=abb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27537 ab:aa=1,aaabab=abb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27538 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:6,completionMax:11us [11m12s] 27538 ab:aa=1,aaabab=baa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27538 ab:aa=1,aaabab=baa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27539 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:58,nodes:12,pairs:5,completionMax:9us [11m12s] 27539 ab:aa=1,aaabab=bab infinite ac/b ab=c frequency:2/0 abc:aa=1,acc=cc,b=ac [11m12s] from: 27539 ab:aa=1,aaabab=bab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=ab,c=b [11m12s] # 27540 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:1,work:246,nodes:12,pairs:12,completionMax:35us [11m12s] 27540 ab:aa=1,aaabab=bba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27540 ab:aa=1,aaabab=bba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27541 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:448,nodes:30,pairs:6,completionMax:41us [11m12s] 27541 ab:aa=1,aaabab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 27541 ab:aa=1,aaabab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 27542 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:44,nodes:12,pairs:8,completionMax:21us [11m12s] 27542 ab:aa=1,aaabba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27542 ab:aa=1,aaabba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27543 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:123,nodes:16,pairs:7,completionMax:26us [11m12s] 27543 ab:aa=1,aaabba=aab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27543 ab:aa=1,aaabba=aab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27544 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:67,nodes:12,pairs:4,completionMax:16us [11m12s] 27544 ab:aa=1,aaabba=aba infinite ab - - ab:aa=1,bb=b [11m12s] from: 27544 ab:aa=1,aaabba=aba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27545 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:12,pairs:2,completionMax:8us [11m12s] 27545 ab:aa=1,aaabba=abb infinite ab - - ab:aa=1,bba=bb [11m12s] from: 27545 ab:aa=1,aaabba=abb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 27546 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:124,nodes:16,pairs:7,completionMax:17us [11m12s] 27546 ab:aa=1,aaabba=baa finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27546 ab:aa=1,aaabba=baa finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27547 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:1,work:145,nodes:10,pairs:3,completionMax:18us [11m12s] 27547 ab:aa=1,aaabba=bab infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27547 ab:aa=1,aaabba=bab infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27548 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:2,completionMax:16us [11m12s] 27548 ab:aa=1,aaabba=bba infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27548 ab:aa=1,aaabba=bba infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27549 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:569,nodes:22,pairs:6,completionMax:48us [11m12s] 27549 ab:aa=1,aaabba=bbb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27549 ab:aa=1,aaabba=bbb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27550 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:12,pairs:1,completionMax:6us [11m12s] 27550 ab:aa=1,aaabbb=aaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27550 ab:aa=1,aaabbb=aaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27551 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:28,nodes:12,pairs:3,completionMax:13us [11m12s] 27551 ab:aa=1,aaabbb=aab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27551 ab:aa=1,aaabbb=aab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27552 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:102,nodes:20,pairs:6,completionMax:25us [11m12s] 27552 ab:aa=1,aaabbb=aba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27552 ab:aa=1,aaabbb=aba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27553 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:12,pairs:1,completionMax:5us [11m12s] 27553 ab:aa=1,aaabbb=abb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27553 ab:aa=1,aaabbb=abb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27554 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:29,nodes:12,pairs:3,completionMax:11us [11m12s] 27554 ab:aa=1,aaabbb=baa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27554 ab:aa=1,aaabbb=baa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27555 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:194,nodes:18,pairs:1,completionMax:14us [11m12s] 27555 ab:aa=1,aaabbb=bab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 27555 ab:aa=1,aaabbb=bab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 27556 solved: rounds:3,rules:4,peak:7,longest:9,steps:6,word:4,work:1457,nodes:44,pairs:12,completionMax:110us [11m12s] 27556 ab:aa=1,aaabbb=bba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27556 ab:aa=1,aaabbb=bba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27557 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m12s] 27557 ab:aa=1,aaabbb=bbb infinite ab - - ab:aa=1,abbb=bbb [11m12s] from: 27557 ab:aa=1,aaabbb=bbb infinite to: 3659 ab:aa=1,abbb=bbb infinite a=a,b=b [11m12s] # 27558 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:17,nodes:8,pairs:2,completionMax:9us [11m12s] 27558 ab:aa=1,aabaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27558 ab:aa=1,aabaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27559 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:2us [11m12s] 27559 ab:aa=1,aabaab=aab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27559 ab:aa=1,aabaab=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27560 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:138,nodes:16,pairs:8,completionMax:25us [11m12s] 27560 ab:aa=1,aabaab=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27560 ab:aa=1,aabaab=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27561 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:2us [11m12s] 27561 ab:aa=1,aabaab=abb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27561 ab:aa=1,aabaab=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27562 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [11m12s] 27562 ab:aa=1,aabaab=baa infinite ab - - ab:aa=1,bb=b [11m12s] from: 27562 ab:aa=1,aabaab=baa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27563 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 27563 ab:aa=1,aabaab=bab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27563 ab:aa=1,aabaab=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27564 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:8,pairs:0,completionMax:1us [11m12s] 27564 ab:aa=1,aabaab=bba infinite ab - - ab:aa=1,bba=bb [11m12s] from: 27564 ab:aa=1,aabaab=bba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 27565 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:3us [11m12s] 27565 ab:aa=1,aabaab=bbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27565 ab:aa=1,aabaab=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27566 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:84,nodes:14,pairs:11,completionMax:27us [11m12s] 27566 ab:aa=1,aababa=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27566 ab:aa=1,aababa=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27567 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:86,nodes:12,pairs:6,completionMax:19us [11m12s] 27567 ab:aa=1,aababa=aab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27567 ab:aa=1,aababa=aab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27568 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:92,nodes:12,pairs:5,completionMax:17us [11m12s] 27568 ab:aa=1,aababa=aba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27568 ab:aa=1,aababa=aba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27569 solved: rounds:2,rules:3,peak:4,longest:5,steps:6,word:2,work:160,nodes:10,pairs:3,completionMax:16us [11m12s] 27569 ab:aa=1,aababa=abb infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27569 ab:aa=1,aababa=abb infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27570 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:87,nodes:12,pairs:6,completionMax:16us [11m12s] 27570 ab:aa=1,aababa=baa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27570 ab:aa=1,aababa=baa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27571 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:59,nodes:15,pairs:5,completionMax:11us [11m12s] 27571 ab:aa=1,aababa=bab infinite ac/b ba=c frequency:2/0 abc:aa=1,cca=cc,b=ca [11m12s] from: 27571 ab:aa=1,aababa=bab infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=ba,c=b [11m12s] # 27572 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:35,nodes:10,pairs:2,completionMax:10us [11m12s] 27572 ab:aa=1,aababa=bba infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27572 ab:aa=1,aababa=bba infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27573 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:452,nodes:30,pairs:6,completionMax:38us [11m12s] 27573 ab:aa=1,aababa=bbb finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 27573 ab:aa=1,aababa=bbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 27574 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:265,nodes:18,pairs:8,completionMax:41us [11m12s] 27574 ab:aa=1,aababb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27574 ab:aa=1,aababb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27575 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 27575 ab:aa=1,aababb=aab infinite ab - - ab:aa=1,babb=b [11m12s] from: 27575 ab:aa=1,aababb=aab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27576 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1938,nodes:32,pairs:30,completionMax:210us [11m12s] 27576 ab:aa=1,aababb=aba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27576 ab:aa=1,aababb=aba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27577 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:84,nodes:12,pairs:1,completionMax:6us [11m12s] 27577 ab:aa=1,aababb=abb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27577 ab:aa=1,aababb=abb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27578 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 27578 ab:aa=1,aababb=baa infinite ab - - ab:aa=1,babb=b [11m12s] from: 27578 ab:aa=1,aababb=baa infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27579 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 27579 ab:aa=1,aababb=bab infinite ab - - ab:aa=1,babb=bab [11m12s] from: 27579 ab:aa=1,aababb=bab infinite to: 3671 ab:aa=1,babb=bab infinite a=a,b=b [11m12s] # 27580 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:384,nodes:26,pairs:4,completionMax:32us [11m12s] 27580 ab:aa=1,aababb=bba infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 27580 ab:aa=1,aababb=bba infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 27581 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 27581 ab:aa=1,aababb=bbb infinite ab - - ab:aa=1,babb=bbb [11m12s] from: 27581 ab:aa=1,aababb=bbb infinite to: 3673 ab:aa=1,babb=bbb infinite a=a,b=b [11m12s] # 27582 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:18,nodes:8,pairs:2,completionMax:7us [11m12s] 27582 ab:aa=1,aabbaa=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27582 ab:aa=1,aabbaa=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27583 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:3us [11m12s] 27583 ab:aa=1,aabbaa=aab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27583 ab:aa=1,aabbaa=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27584 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:139,nodes:16,pairs:8,completionMax:31us [11m12s] 27584 ab:aa=1,aabbaa=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27584 ab:aa=1,aabbaa=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27585 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m12s] 27585 ab:aa=1,aabbaa=abb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27585 ab:aa=1,aabbaa=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27586 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:1us [11m12s] 27586 ab:aa=1,aabbaa=bab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27586 ab:aa=1,aabbaa=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27587 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:4us [11m12s] 27587 ab:aa=1,aabbaa=bbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27587 ab:aa=1,aabbaa=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27588 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:207,nodes:18,pairs:8,completionMax:41us [11m12s] 27588 ab:aa=1,aabbab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27588 ab:aa=1,aabbab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27589 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:1us [11m12s] 27589 ab:aa=1,aabbab=aab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27589 ab:aa=1,aabbab=aab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27590 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1934,nodes:32,pairs:30,completionMax:125us [11m12s] 27590 ab:aa=1,aabbab=aba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27590 ab:aa=1,aabbab=aba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27591 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:380,nodes:26,pairs:4,completionMax:23us [11m12s] 27591 ab:aa=1,aabbab=abb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 27591 ab:aa=1,aabbab=abb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 27592 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:1us [11m12s] 27592 ab:aa=1,aabbab=baa infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27592 ab:aa=1,aabbab=baa infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27593 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:1us [11m12s] 27593 ab:aa=1,aabbab=bab infinite ab - - ab:aa=1,bbab=bab [11m12s] from: 27593 ab:aa=1,aabbab=bab infinite to: 3671 ab:aa=1,babb=bab infinite anti:a=a,b=b [11m12s] # 27594 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:76,nodes:10,pairs:1,completionMax:11us [11m12s] 27594 ab:aa=1,aabbab=bba infinite ab - - ab:aa=1,bbb=bb,bbab=bba [11m12s] from: 27594 ab:aa=1,aabbab=bba infinite to: 3512 ab:aa=1,ababb=bb infinite anti:a=a,b=b [11m12s] # 27595 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:5us [11m12s] 27595 ab:aa=1,aabbab=bbb infinite ab - - ab:aa=1,bbab=bbb [11m12s] from: 27595 ab:aa=1,aabbab=bbb infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=b [11m12s] # 27596 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:7us [11m12s] 27596 ab:aa=1,aabbba=aaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27596 ab:aa=1,aabbba=aaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27597 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:25,nodes:12,pairs:2,completionMax:10us [11m12s] 27597 ab:aa=1,aabbba=aab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27597 ab:aa=1,aabbba=aab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27598 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:105,nodes:16,pairs:6,completionMax:25us [11m12s] 27598 ab:aa=1,aabbba=aba finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27598 ab:aa=1,aabbba=aba finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27599 solved: rounds:4,rules:4,peak:6,longest:9,steps:7,word:5,work:1302,nodes:40,pairs:13,completionMax:77us [11m12s] 27599 ab:aa=1,aabbba=abb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27599 ab:aa=1,aabbba=abb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27600 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:2,completionMax:10us [11m12s] 27600 ab:aa=1,aabbba=baa finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27600 ab:aa=1,aabbba=baa finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27601 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:198,nodes:18,pairs:1,completionMax:13us [11m12s] 27601 ab:aa=1,aabbba=bab finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 27601 ab:aa=1,aabbba=bab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 27602 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:10,pairs:1,completionMax:9us [11m12s] 27602 ab:aa=1,aabbba=bba infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27602 ab:aa=1,aabbba=bba infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27603 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:3us [11m12s] 27603 ab:aa=1,aabbba=bbb infinite ab - - ab:aa=1,bbba=bbb [11m12s] from: 27603 ab:aa=1,aabbba=bbb infinite to: 3659 ab:aa=1,abbb=bbb infinite anti:a=a,b=b [11m12s] # 27604 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:20,nodes:16,pairs:2,completionMax:13us [11m12s] 27604 ab:aa=1,aabbbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27604 ab:aa=1,aabbbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27605 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 27605 ab:aa=1,aabbbb=aab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27605 ab:aa=1,aabbbb=aab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27606 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:716,nodes:64,pairs:7,completionMax:70us [11m12s] 27606 ab:aa=1,aabbbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27606 ab:aa=1,aabbbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27607 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:47,nodes:16,pairs:1,completionMax:11us [11m12s] 27607 ab:aa=1,aabbbb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27607 ab:aa=1,aabbbb=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27608 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:5us [11m12s] 27608 ab:aa=1,aabbbb=baa infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27608 ab:aa=1,aabbbb=baa infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27609 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:11,nodes:8,pairs:0,completionMax:3us [11m12s] 27609 ab:aa=1,aabbbb=bab infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 27609 ab:aa=1,aabbbb=bab infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 27610 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:50,nodes:14,pairs:1,completionMax:13us [11m12s] 27610 ab:aa=1,aabbbb=bba infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 27610 ab:aa=1,aabbbb=bba infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 27611 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:50,nodes:10,pairs:0,completionMax:4us [11m12s] 27611 ab:aa=1,aabbbb=bbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 27611 ab:aa=1,aabbbb=bbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 27612 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:83,nodes:14,pairs:11,completionMax:34us [11m12s] 27612 ab:aa=1,abaaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27612 ab:aa=1,abaaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27613 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:80,nodes:12,pairs:6,completionMax:17us [11m12s] 27613 ab:aa=1,abaaab=aab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27613 ab:aa=1,abaaab=aab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27614 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:99,nodes:12,pairs:5,completionMax:18us [11m12s] 27614 ab:aa=1,abaaab=aba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 27614 ab:aa=1,abaaab=aba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 27615 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:38,nodes:12,pairs:2,completionMax:7us [11m12s] 27615 ab:aa=1,abaaab=abb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27615 ab:aa=1,abaaab=abb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27616 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:81,nodes:12,pairs:6,completionMax:14us [11m12s] 27616 ab:aa=1,abaaab=baa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 27616 ab:aa=1,abaaab=baa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 27617 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:60,nodes:12,pairs:5,completionMax:13us [11m12s] 27617 ab:aa=1,abaaab=bab infinite ac/b ab=c frequency:2/0 abc:aa=1,acc=cc,b=ac [11m12s] from: 27617 ab:aa=1,abaaab=bab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=ab,c=b [11m12s] # 27618 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:1,work:248,nodes:12,pairs:12,completionMax:41us [11m12s] 27618 ab:aa=1,abaaab=bba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27618 ab:aa=1,abaaab=bba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27619 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:450,nodes:30,pairs:6,completionMax:31us [11m12s] 27619 ab:aa=1,abaaab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 27619 ab:aa=1,abaaab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 27620 solved: rounds:3,rules:2,peak:4,longest:4,steps:1,word:1,work:46,nodes:12,pairs:8,completionMax:21us [11m12s] 27620 ab:aa=1,abaaba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27620 ab:aa=1,abaaba=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27621 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:125,nodes:16,pairs:7,completionMax:27us [11m12s] 27621 ab:aa=1,abaaba=aab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27621 ab:aa=1,abaaba=aab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27622 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:69,nodes:12,pairs:4,completionMax:19us [11m12s] 27622 ab:aa=1,abaaba=aba infinite ab - - ab:aa=1,bb=b [11m12s] from: 27622 ab:aa=1,abaaba=aba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27623 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:12,pairs:2,completionMax:15us [11m12s] 27623 ab:aa=1,abaaba=abb infinite ab - - ab:aa=1,bba=bb [11m12s] from: 27623 ab:aa=1,abaaba=abb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 27624 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:1,work:147,nodes:10,pairs:3,completionMax:20us [11m12s] 27624 ab:aa=1,abaaba=bab infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 27624 ab:aa=1,abaaba=bab infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 27625 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:571,nodes:22,pairs:6,completionMax:41us [11m12s] 27625 ab:aa=1,abaaba=bbb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27625 ab:aa=1,abaaba=bbb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27626 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:8,nodes:12,pairs:1,completionMax:5us [11m12s] 27626 ab:aa=1,abaabb=aaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27626 ab:aa=1,abaabb=aaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27627 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:30,nodes:12,pairs:3,completionMax:9us [11m12s] 27627 ab:aa=1,abaabb=aab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27627 ab:aa=1,abaabb=aab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27628 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:104,nodes:20,pairs:6,completionMax:24us [11m12s] 27628 ab:aa=1,abaabb=aba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27628 ab:aa=1,abaabb=aba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27629 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:1,completionMax:9us [11m12s] 27629 ab:aa=1,abaabb=abb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27629 ab:aa=1,abaabb=abb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27630 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:31,nodes:12,pairs:3,completionMax:12us [11m12s] 27630 ab:aa=1,abaabb=baa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27630 ab:aa=1,abaabb=baa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27631 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:196,nodes:18,pairs:1,completionMax:13us [11m12s] 27631 ab:aa=1,abaabb=bab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 27631 ab:aa=1,abaabb=bab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 27632 solved: rounds:3,rules:4,peak:7,longest:9,steps:6,word:4,work:1459,nodes:44,pairs:12,completionMax:135us [11m12s] 27632 ab:aa=1,abaabb=bba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27632 ab:aa=1,abaabb=bba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27633 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:3us [11m12s] 27633 ab:aa=1,abaabb=bbb infinite ab - - ab:aa=1,abbb=bbb [11m12s] from: 27633 ab:aa=1,abaabb=bbb infinite to: 3659 ab:aa=1,abbb=bbb infinite a=a,b=b [11m12s] # 27634 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:157,nodes:16,pairs:10,completionMax:33us [11m12s] 27634 ab:aa=1,ababab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27634 ab:aa=1,ababab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27635 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:230,nodes:16,pairs:11,completionMax:38us [11m12s] 27635 ab:aa=1,ababab=aab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27635 ab:aa=1,ababab=aab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27636 solved: rounds:4,rules:3,peak:7,longest:6,steps:4,word:1,work:827,nodes:24,pairs:36,completionMax:125us [11m12s] 27636 ab:aa=1,ababab=aba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27636 ab:aa=1,ababab=aba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27637 solved: rounds:2,rules:3,peak:4,longest:6,steps:3,word:0,work:304,nodes:24,pairs:9,completionMax:38us [11m12s] 27637 ab:aa=1,ababab=abb infinite ab - - ab:aa=1,bbab=babb,babab=bb [11m12s] from: 27637 ab:aa=1,ababab=abb infinite to: 3533 ab:aa=1,babab=bb infinite a=a,b=b [11m12s] # 27638 solved: rounds:2,rules:3,peak:4,longest:6,steps:4,word:3,work:231,nodes:16,pairs:11,completionMax:27us [11m12s] 27638 ab:aa=1,ababab=baa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27638 ab:aa=1,ababab=baa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27639 solved: rounds:1,rules:3,peak:5,longest:6,steps:3,word:0,work:444,nodes:28,pairs:3,completionMax:25us [11m12s] 27639 ab:aa=1,ababab=bab infinite ab - - ab:aa=1,bbab=bab,babab=abab [11m12s] # 27640 solved: rounds:6,rules:9,peak:13,longest:12,steps:15,word:5,work:14087,nodes:118,pairs:45,completionMax:567us [11m12s] 27640 ab:aa=1,ababab=bba finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,babbbbbbbb=babb,bbabbbbbbb=bbab,bbba=abbb,aa=1,babab=abba,babbabbbbbb=babba,bbaba=babbabbbbb,bbabba=ababbbb [11m12s] from: 27640 ab:aa=1,ababab=bba finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb to: 27113 ab:aa=1,abababa=bb finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb a=a,b=b [11m12s] # 27641 solved: rounds:1,rules:4,peak:5,longest:7,steps:5,word:1,work:700,nodes:24,pairs:3,completionMax:38us [11m12s] 27641 ab:aa=1,ababab=bbb infinite reversed:a/b - - ab:aa=1,babab=abbb,bbbab=abbbb,bbabbb=ababbbb [11m12s] # 27642 solved: rounds:3,rules:3,peak:5,longest:6,steps:5,word:0,work:279,nodes:20,pairs:18,completionMax:55us [11m12s] 27642 ab:aa=1,ababba=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27642 ab:aa=1,ababba=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27643 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:766,nodes:24,pairs:22,completionMax:77us [11m12s] 27643 ab:aa=1,ababba=aab finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27643 ab:aa=1,ababba=aab finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27644 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:127,nodes:20,pairs:4,completionMax:20us [11m12s] 27644 ab:aa=1,ababba=aba infinite ab - - ab:aa=1,babb=b [11m12s] from: 27644 ab:aa=1,ababba=aba infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27645 solved: rounds:3,rules:4,peak:5,longest:6,steps:4,word:1,work:533,nodes:22,pairs:16,completionMax:54us [11m12s] 27645 ab:aa=1,ababba=abb infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 27645 ab:aa=1,ababba=abb infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 27646 solved: rounds:3,rules:6,peak:6,longest:6,steps:5,word:2,work:765,nodes:24,pairs:22,completionMax:75us [11m12s] 27646 ab:aa=1,ababba=baa finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27646 ab:aa=1,ababba=baa finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27647 solved: rounds:3,rules:4,peak:6,longest:7,steps:7,word:0,work:1756,nodes:26,pairs:24,completionMax:96us [11m12s] 27647 ab:aa=1,ababba=bab infinite ab - - ab:aa=1,baba=abab,babb=bab,bbab=bab [11m12s] # 27648 solved: rounds:3,rules:3,peak:5,longest:6,steps:3,word:0,work:431,nodes:22,pairs:15,completionMax:36us [11m12s] 27648 ab:aa=1,ababba=bba infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27648 ab:aa=1,ababba=bba infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27649 solved: rounds:3,rules:5,peak:6,longest:9,steps:9,word:2,work:1642,nodes:26,pairs:14,completionMax:61us [11m12s] 27649 ab:aa=1,ababba=bbb infinite reversed:a/b - - ab:aa=1,bbba=ababb,babba=abbb,bbababb=abababbb,babababb=abbabbb [11m12s] # 27650 solved: rounds:4,rules:2,peak:5,longest:8,steps:5,word:3,work:348,nodes:24,pairs:12,completionMax:33us [11m12s] 27650 ab:aa=1,ababbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27650 ab:aa=1,ababbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27651 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:687,nodes:20,pairs:13,completionMax:49us [11m12s] 27651 ab:aa=1,ababbb=aab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27651 ab:aa=1,ababbb=aab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27652 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:59,nodes:20,pairs:3,completionMax:9us [11m12s] 27652 ab:aa=1,ababbb=aba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 27652 ab:aa=1,ababbb=aba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 27653 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:26,nodes:20,pairs:1,completionMax:7us [11m12s] 27653 ab:aa=1,ababbb=abb infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 27653 ab:aa=1,ababbb=abb infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 27654 solved: rounds:4,rules:3,peak:6,longest:6,steps:5,word:0,work:688,nodes:20,pairs:13,completionMax:50us [11m12s] 27654 ab:aa=1,ababbb=baa finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27654 ab:aa=1,ababbb=baa finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27655 solved: rounds:5,rules:9,peak:12,longest:13,steps:9,word:2,work:14146,nodes:92,pairs:60,completionMax:583us [11m12s] 27655 ab:aa=1,ababbb=bab infinite b/a - - ab:babbbbb=bab,bbbbbbab=bbab,aa=1,abab=babbb,abbbbbab=bbbbbabbb,babbbab=abbabbb,bbabbbbab=abbbbabbb,bbbabbab=abbbabbb,abbabbab=bbabbabbb [11m12s] # 27656 solved: rounds:4,rules:8,peak:17,longest:28,steps:16,word:17,work:36203,nodes:150,pairs:151,completionMax:1181us [11m12s] 27656 ab:aa=1,ababbb=bba infinite b/a - - ab:bbbbbb=bb,bbabbbb=bba,bbbba=abbbb,aa=1,ababb=bbabbb,abba=babbb,abbba=bbbabb,bbaba=abbbbb [11m12s] from: 27656 ab:aa=1,ababbb=bba infinite to: 27125 ab:aa=1,ababbba=bb infinite a=a,b=b [11m12s] # 27657 solved: rounds:2,rules:3,peak:3,longest:6,steps:3,word:0,work:222,nodes:20,pairs:3,completionMax:19us [11m12s] 27657 ab:aa=1,ababbb=bbb infinite ab - - ab:aa=1,bbbb=bbb,babbb=abbb [11m12s] # 27658 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:9,nodes:12,pairs:1,completionMax:7us [11m12s] 27658 ab:aa=1,abbaab=aaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 27658 ab:aa=1,abbaab=aaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 27659 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:31,nodes:12,pairs:3,completionMax:11us [11m12s] 27659 ab:aa=1,abbaab=aab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27659 ab:aa=1,abbaab=aab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27660 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:105,nodes:20,pairs:6,completionMax:23us [11m12s] 27660 ab:aa=1,abbaab=aba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 27660 ab:aa=1,abbaab=aba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 27661 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:49,nodes:12,pairs:1,completionMax:7us [11m12s] 27661 ab:aa=1,abbaab=abb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27661 ab:aa=1,abbaab=abb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27662 solved: rounds:2,rules:3,peak:3,longest:5,steps:1,word:1,work:32,nodes:12,pairs:3,completionMax:10us [11m12s] 27662 ab:aa=1,abbaab=baa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 27662 ab:aa=1,abbaab=baa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 27663 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:197,nodes:18,pairs:1,completionMax:11us [11m12s] 27663 ab:aa=1,abbaab=bab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 27663 ab:aa=1,abbaab=bab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 27664 solved: rounds:3,rules:4,peak:7,longest:9,steps:6,word:4,work:1460,nodes:44,pairs:12,completionMax:82us [11m12s] 27664 ab:aa=1,abbaab=bba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 27664 ab:aa=1,abbaab=bba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 27665 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:1us [11m12s] 27665 ab:aa=1,abbaab=bbb infinite ab - - ab:aa=1,abbb=bbb [11m12s] from: 27665 ab:aa=1,abbaab=bbb infinite to: 3659 ab:aa=1,abbb=bbb infinite a=a,b=b [11m12s] # 27666 solved: rounds:2,rules:2,peak:5,longest:8,steps:2,word:3,work:147,nodes:26,pairs:13,completionMax:41us [11m12s] 27666 ab:aa=1,abbabb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27666 ab:aa=1,abbabb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27667 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:349,nodes:20,pairs:7,completionMax:28us [11m12s] 27667 ab:aa=1,abbabb=aab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27667 ab:aa=1,abbabb=aab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27668 solved: rounds:2,rules:3,peak:5,longest:6,steps:3,word:0,work:348,nodes:24,pairs:11,completionMax:41us [11m12s] 27668 ab:aa=1,abbabb=aba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27668 ab:aa=1,abbabb=aba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27669 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:70,nodes:20,pairs:1,completionMax:7us [11m12s] 27669 ab:aa=1,abbabb=abb infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 27669 ab:aa=1,abbabb=abb infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 27670 solved: rounds:2,rules:3,peak:5,longest:6,steps:5,word:0,work:350,nodes:20,pairs:7,completionMax:25us [11m12s] 27670 ab:aa=1,abbabb=baa finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 27670 ab:aa=1,abbabb=baa finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 27671 solved: rounds:3,rules:7,peak:13,longest:12,steps:8,word:5,work:14095,nodes:96,pairs:76,completionMax:648us [11m12s] 27671 ab:aa=1,abbabb=bab infinite b/a - - ab:babbbbb=bab,bbbbbab=bab,aa=1,abab=bbabb,abbab=babbbb,abbbab=bbbabbb,babbbbab=abbbbabb [11m12s] # 27672 solved: rounds:3,rules:12,peak:14,longest:6,steps:3,word:3,work:970,nodes:48,pairs:30,completionMax:140us [11m12s] 27672 ab:aa=1,abbabb=bba infinite b/ca bba=c frequency:3/0 abc:bbbbbb=bb,cbbbb=c,bbbbc=c,abb=bbcbb,bba=c,cc=bbcbb,cbbc=bb,ca=bb,cba=cbbbc,ac=cbb,abc=bbcbc,aa=1 [11m12s] from: 27672 ab:aa=1,abbabb=bba infinite to: 27144 ab:aa=1,abbabba=bb infinite a=a,b=b,c=c [11m12s] # 27673 solved: rounds:2,rules:4,peak:4,longest:7,steps:4,word:1,work:596,nodes:26,pairs:8,completionMax:39us [11m12s] 27673 ab:aa=1,abbabb=bbb infinite b/a - - ab:bbbbbbb=bbbb,babbb=abbbbb,bbabb=abbb,aa=1 [11m12s] # 27674 solved: rounds:5,rules:2,peak:6,longest:8,steps:5,word:3,work:734,nodes:26,pairs:35,completionMax:98us [11m12s] 27674 ab:aa=1,abbbab=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27674 ab:aa=1,abbbab=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27675 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:122,nodes:20,pairs:6,completionMax:20us [11m12s] 27675 ab:aa=1,abbbab=aab infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 27675 ab:aa=1,abbbab=aab infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 27676 solved: rounds:4,rules:3,peak:6,longest:7,steps:4,word:0,work:870,nodes:30,pairs:21,completionMax:60us [11m12s] 27676 ab:aa=1,abbbab=aba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 27676 ab:aa=1,abbbab=aba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 27677 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:50,nodes:20,pairs:2,completionMax:6us [11m12s] 27677 ab:aa=1,abbbab=abb infinite ab - - ab:aa=1,bbbab=bb [11m12s] from: 27677 ab:aa=1,abbbab=abb infinite to: 3537 ab:aa=1,babbb=bb infinite anti:a=a,b=b [11m12s] # 27678 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:0,work:123,nodes:20,pairs:6,completionMax:20us [11m12s] 27678 ab:aa=1,abbbab=baa infinite ab - - ab:aa=1,bbbb=b,bbbab=ab [11m12s] from: 27678 ab:aa=1,abbbab=baa infinite to: 3383 ab:aa=1,abbbab=b infinite a=a,b=b [11m12s] # 27679 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:0,work:765,nodes:30,pairs:10,completionMax:66us [11m12s] 27679 ab:aa=1,abbbab=bab infinite ab - - ab:aa=1,babab=abbab,bbbab=abab,babbab=bab [11m12s] # 27680 solved: rounds:4,rules:8,peak:16,longest:16,steps:8,word:14,work:20345,nodes:110,pairs:85,completionMax:672us [11m12s] 27680 ab:aa=1,abbbab=bba infinite reversed:b/a - - ab:bbbbbb=bb,bbbbabb=abb,abbbb=bbbba,aa=1,bbaba=bbbabb,abba=bbbab,abbba=bbabbb,ababb=bbbbba [11m12s] from: 27680 ab:aa=1,abbbab=bba infinite to: 27125 ab:aa=1,ababbba=bb infinite anti:a=a,b=b [11m12s] 27681 ab:aa=1,abbbab=bbb hard possibly-finite [11m12s] # 27682 solved: rounds:3,rules:2,peak:4,longest:8,steps:1,word:3,work:73,nodes:20,pairs:10,completionMax:27us [11m12s] 27682 ab:aa=1,abbbba=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27682 ab:aa=1,abbbba=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27683 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:699,nodes:64,pairs:8,completionMax:51us [11m12s] 27683 ab:aa=1,abbbba=aab finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27683 ab:aa=1,abbbba=aab finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27684 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:0,work:99,nodes:20,pairs:4,completionMax:27us [11m12s] 27684 ab:aa=1,abbbba=aba infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27684 ab:aa=1,abbbba=aba infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27685 solved: rounds:2,rules:3,peak:5,longest:6,steps:2,word:1,work:203,nodes:20,pairs:8,completionMax:32us [11m12s] 27685 ab:aa=1,abbbba=abb infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 27685 ab:aa=1,abbbba=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 27686 solved: rounds:6,rules:12,peak:17,longest:48,steps:27,word:33,work:103076,nodes:626,pairs:68,completionMax:4282us [11m12s] 27686 ab:aa=1,abbbba=bab finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbb,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbab,bbbbba=abbbbb,aa=1,abab=bbbba,abbbba=bab,baba=abbbb,babba=abbbabbbb,babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babbba,bbbbabbba=abbab,abbbabbba=babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] # 27687 solved: rounds:3,rules:4,peak:7,longest:10,steps:7,word:6,work:2695,nodes:44,pairs:16,completionMax:142us [11m12s] 27687 ab:aa=1,abbbba=bbb infinite b/a - - ab:bbbbbbbbbb=bbb,babbb=abbbbbbbbb,bbba=abbbb,aa=1 [11m12s] # 27688 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:4,nodes:20,pairs:1,completionMax:9us [11m12s] 27688 ab:aa=1,abbbbb=aaa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 27688 ab:aa=1,abbbbb=aaa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 27689 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:42,nodes:20,pairs:3,completionMax:16us [11m12s] 27689 ab:aa=1,abbbbb=aab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27689 ab:aa=1,abbbbb=aab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27690 solved: rounds:2,rules:3,peak:4,longest:10,steps:2,word:3,work:152,nodes:36,pairs:6,completionMax:35us [11m12s] 27690 ab:aa=1,abbbbb=aba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 27690 ab:aa=1,abbbbb=aba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 27691 solved: rounds:1,rules:2,peak:3,longest:6,steps:1,word:0,work:46,nodes:20,pairs:1,completionMax:10us [11m12s] 27691 ab:aa=1,abbbbb=abb infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 27691 ab:aa=1,abbbbb=abb infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 27692 solved: rounds:2,rules:3,peak:3,longest:9,steps:1,word:3,work:43,nodes:20,pairs:3,completionMax:13us [11m12s] 27692 ab:aa=1,abbbbb=baa finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 27692 ab:aa=1,abbbbb=baa finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 27693 solved: rounds:1,rules:3,peak:3,longest:21,steps:25,word:15,work:769,nodes:46,pairs:1,completionMax:50us [11m12s] 27693 ab:aa=1,abbbbb=bab finite:82;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bbbbbb,bab=abbbbb,aa=1 [11m12s] # 27694 solved: rounds:3,rules:4,peak:7,longest:25,steps:15,word:18,work:6247,nodes:126,pairs:14,completionMax:321us [11m12s] 27694 ab:aa=1,abbbbb=bba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbb=bb,babb=abbbbbbbbbbbbbbb,bba=abbbbb,aa=1 [11m12s] from: 27694 ab:aa=1,abbbbb=bba infinite to: 27163 ab:aa=1,abbbbba=bb infinite a=a,b=b [11m12s] # 27695 solved: rounds:2,rules:3,peak:3,longest:7,steps:2,word:1,work:100,nodes:20,pairs:3,completionMax:18us [11m12s] 27695 ab:aa=1,abbbbb=bbb infinite b/a - - ab:bbbbbbb=bbb,abbb=bbbbb,aa=1 [11m12s] # 27696 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:18,nodes:8,pairs:2,completionMax:7us [11m12s] 27696 ab:aa=1,baaaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 27696 ab:aa=1,baaaab=aaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 27697 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:1us [11m12s] 27697 ab:aa=1,baaaab=aab infinite ab - - ab:aa=1,bb=b [11m12s] from: 27697 ab:aa=1,baaaab=aab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 27698 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:139,nodes:16,pairs:8,completionMax:21us [11m12s] 27698 ab:aa=1,baaaab=aba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 27698 ab:aa=1,baaaab=aba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 27699 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:3us [11m12s] 27699 ab:aa=1,baaaab=abb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 27699 ab:aa=1,baaaab=abb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 27700 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:13,nodes:8,pairs:0,completionMax:4us [11m12s] 27700 ab:aa=1,baaaab=bab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 27700 ab:aa=1,baaaab=bab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 27701 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:4us [11m12s] 27701 ab:aa=1,baaaab=bbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 27701 ab:aa=1,baaaab=bbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 27702 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:266,nodes:18,pairs:8,completionMax:43us [11m12s] 27702 ab:aa=1,baaabb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27702 ab:aa=1,baaabb=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27703 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 27703 ab:aa=1,baaabb=aab infinite ab - - ab:aa=1,babb=b [11m12s] from: 27703 ab:aa=1,baaabb=aab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27704 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1936,nodes:32,pairs:30,completionMax:196us [11m12s] 27704 ab:aa=1,baaabb=aba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 27704 ab:aa=1,baaabb=aba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 27705 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:85,nodes:12,pairs:1,completionMax:6us [11m12s] 27705 ab:aa=1,baaabb=abb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 27705 ab:aa=1,baaabb=abb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 27706 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:3us [11m12s] 27706 ab:aa=1,baaabb=baa infinite ab - - ab:aa=1,babb=b [11m12s] from: 27706 ab:aa=1,baaabb=baa infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 27707 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 27707 ab:aa=1,baaabb=bab infinite ab - - ab:aa=1,babb=bab [11m12s] from: 27707 ab:aa=1,baaabb=bab infinite to: 3671 ab:aa=1,babb=bab infinite a=a,b=b [11m12s] # 27708 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:382,nodes:26,pairs:4,completionMax:30us [11m12s] 27708 ab:aa=1,baaabb=bba infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 27708 ab:aa=1,baaabb=bba infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 27709 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 27709 ab:aa=1,baaabb=bbb infinite ab - - ab:aa=1,babb=bbb [11m12s] from: 27709 ab:aa=1,baaabb=bbb infinite to: 3673 ab:aa=1,babb=bbb infinite a=a,b=b [11m12s] # 27710 solved: rounds:3,rules:3,peak:6,longest:4,steps:3,word:0,work:208,nodes:18,pairs:8,completionMax:39us [11m12s] 27710 ab:aa=1,baabab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 27710 ab:aa=1,baabab=aaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 27711 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 27711 ab:aa=1,baabab=aab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27711 ab:aa=1,baabab=aab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27712 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1935,nodes:32,pairs:30,completionMax:154us [11m12s] 27712 ab:aa=1,baabab=aba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 27712 ab:aa=1,baabab=aba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 27713 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:381,nodes:26,pairs:4,completionMax:31us [11m12s] 27713 ab:aa=1,baabab=abb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 27713 ab:aa=1,baabab=abb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 27714 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:3us [11m12s] 27714 ab:aa=1,baabab=baa infinite ab - - ab:aa=1,bbab=b [11m12s] from: 27714 ab:aa=1,baabab=baa infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 27715 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 27715 ab:aa=1,baabab=bab infinite ab - - ab:aa=1,bbab=bab [11m12s] from: 27715 ab:aa=1,baabab=bab infinite to: 3671 ab:aa=1,babb=bab infinite anti:a=a,b=b [11m12s] # 27716 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:77,nodes:10,pairs:1,completionMax:8us [11m12s] 27716 ab:aa=1,baabab=bba infinite ab - - ab:aa=1,bbb=bb,bbab=bba [11m12s] from: 27716 ab:aa=1,baabab=bba infinite to: 3512 ab:aa=1,ababb=bb infinite anti:a=a,b=b [11m12s] # 27717 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 27717 ab:aa=1,baabab=bbb infinite ab - - ab:aa=1,bbab=bbb [11m12s] from: 27717 ab:aa=1,baabab=bbb infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=b [11m12s] # 27718 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:21,nodes:16,pairs:2,completionMax:9us [11m12s] 27718 ab:aa=1,baabbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27718 ab:aa=1,baabbb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27719 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:4us [11m12s] 27719 ab:aa=1,baabbb=aab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27719 ab:aa=1,baabbb=aab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27720 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:717,nodes:64,pairs:7,completionMax:64us [11m12s] 27720 ab:aa=1,baabbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27720 ab:aa=1,baabbb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27721 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:48,nodes:16,pairs:1,completionMax:10us [11m12s] 27721 ab:aa=1,baabbb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27721 ab:aa=1,baabbb=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27722 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:5us [11m12s] 27722 ab:aa=1,baabbb=baa infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27722 ab:aa=1,baabbb=baa infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27723 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:8,pairs:0,completionMax:4us [11m12s] 27723 ab:aa=1,baabbb=bab infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 27723 ab:aa=1,baabbb=bab infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 27724 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:51,nodes:14,pairs:1,completionMax:7us [11m12s] 27724 ab:aa=1,baabbb=bba infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 27724 ab:aa=1,baabbb=bba infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 27725 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:51,nodes:10,pairs:0,completionMax:3us [11m12s] 27725 ab:aa=1,baabbb=bbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 27725 ab:aa=1,baabbb=bbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 27726 solved: rounds:3,rules:2,peak:9,longest:8,steps:7,word:6,work:2359,nodes:26,pairs:63,completionMax:329us [11m12s] 27726 ab:aa=1,bababb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27726 ab:aa=1,bababb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27727 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 27727 ab:aa=1,bababb=aab infinite ab - - ab:aa=1,bababb=b [11m12s] from: 27727 ab:aa=1,bababb=aab infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 27728 solved: rounds:4,rules:6,peak:21,longest:22,steps:13,word:21,work:30736,nodes:132,pairs:99,completionMax:1391us [11m12s] 27728 ab:aa=1,bababb=aba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb b/a - - ab:bbbbbbbbbb=b,babbbbbbbbb=ba,bbba=abbbbbb,aa=1,baba=ababbbbbbb,babba=abbabbbb [11m12s] from: 27728 ab:aa=1,bababb=aba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb to: 26587 ab:aa=1,abababba=b finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb a=a,b=b [11m12s] # 27729 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:130,nodes:20,pairs:4,completionMax:21us [11m12s] 27729 ab:aa=1,bababb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27729 ab:aa=1,bababb=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27730 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:3us [11m12s] 27730 ab:aa=1,bababb=baa infinite ab - - ab:aa=1,bababb=b [11m12s] from: 27730 ab:aa=1,bababb=baa infinite to: 3397 ab:aa=1,bababb=b infinite a=a,b=b [11m12s] # 27731 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:2us [11m12s] 27731 ab:aa=1,bababb=bab infinite ab - - ab:aa=1,bababb=bab [11m12s] # 27732 solved: rounds:4,rules:8,peak:12,longest:10,steps:7,word:2,work:9474,nodes:78,pairs:39,completionMax:385us [11m12s] 27732 ab:aa=1,bababb=bba infinite reversed:b/a - - ab:bbbbbbb=bbb,bbbbbbab=bbab,bbabbbb=bbbbbba,aa=1,bbaba=bbbabb,bbabba=bbbbbab,bbabbba=bbbbabbb,bababb=bba [11m12s] from: 27732 ab:aa=1,bababb=bba infinite to: 27141 ab:aa=1,abbabab=bb infinite anti:a=a,b=b [11m12s] # 27733 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:3us [11m12s] 27733 ab:aa=1,bababb=bbb infinite ab - - ab:aa=1,bababb=bbb [11m12s] # 27734 solved: rounds:3,rules:2,peak:7,longest:15,steps:19,word:9,work:1228,nodes:44,pairs:20,completionMax:111us [11m12s] 27734 ab:aa=1,babbab=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27734 ab:aa=1,babbab=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27735 solved: rounds:2,rules:3,peak:3,longest:6,steps:2,word:0,work:133,nodes:18,pairs:2,completionMax:20us [11m12s] 27735 ab:aa=1,babbab=aab infinite ab - - ab:aa=1,bbab=babb,bababb=b [11m12s] from: 27735 ab:aa=1,babbab=aab infinite to: 3399 ab:aa=1,babbab=b infinite a=a,b=b [11m12s] # 27736 solved: rounds:5,rules:7,peak:16,longest:11,steps:9,word:3,work:13823,nodes:116,pairs:76,completionMax:839us [11m12s] 27736 ab:aa=1,babbab=aba finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb b/a - - ab:bbbbbbb=b,babbbbbb=ba,bbba=abbb,aa=1,babba=ababbbbb,bbaba=abbabbbb,bababa=ababab [11m12s] from: 27736 ab:aa=1,babbab=aba finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb to: 26593 ab:aa=1,ababbaba=b finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb a=a,b=b [11m12s] # 27737 solved: rounds:4,rules:8,peak:16,longest:11,steps:6,word:2,work:12391,nodes:88,pairs:110,completionMax:614us [11m12s] 27737 ab:aa=1,babbab=abb infinite b/a - - ab:bbbbbb=bb,bbabbbbb=bbab,bbbbab=abbbbb,aa=1,ababb=babbbb,abbab=bbbabb,abbbab=bbabbbb,bbabab=bbbabbb [11m12s] from: 27737 ab:aa=1,babbab=abb infinite to: 27121 ab:aa=1,ababbab=bb infinite a=a,b=b [11m12s] # 27738 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:26,nodes:14,pairs:0,completionMax:4us [11m12s] 27738 ab:aa=1,babbab=bab infinite ab - - ab:aa=1,babbab=bab [11m12s] # 27739 solved: rounds:1,rules:3,peak:3,longest:6,steps:2,word:0,work:106,nodes:22,pairs:1,completionMax:17us [11m12s] 27739 ab:aa=1,babbab=bbb infinite ab - - ab:aa=1,babbab=bbb,bbbbab=babbbb [11m12s] # 27740 solved: rounds:4,rules:3,peak:7,longest:15,steps:11,word:15,work:1555,nodes:42,pairs:19,completionMax:99us [11m12s] 27740 ab:aa=1,babbbb=aaa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbb=1,ba=abbbbbbbbbbb,aa=1 [11m12s] from: 27740 ab:aa=1,babbbb=aaa finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb a=a,b=b [11m12s] # 27741 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:3us [11m12s] 27741 ab:aa=1,babbbb=aab infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 27741 ab:aa=1,babbbb=aab infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 27742 solved: rounds:4,rules:13,peak:23,longest:14,steps:13,word:14,work:35184,nodes:130,pairs:104,completionMax:1706us [11m12s] 27742 ab:aa=1,babbbb=aba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb reversed:b/a - - ab:bbbbbbbbb=b,bbbbbbbbab=ab,abbbbbbbb=bbbbbbbba,aa=1,aba=babbbb,abbbba=bbbbbbbab,abbbbbbba=bbbbabbbbbbb,abbbab=bbbbbbbabbbbba,abbbbbbab=bbbbabbba,abbabb=bbbbbbabbbbbba,abbbbbabbbb=bbbbbbbabba,abbbbbabba=bbbbbabbbbbab,abbbbbabbba=babbab [11m12s] from: 27742 ab:aa=1,babbbb=aba finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26599 ab:aa=1,ababbbba=b finite:138;idempotents:1,bbbbbbbb;center:1,bbbbbbbb a=a,b=b [11m12s] # 27743 solved: rounds:3,rules:3,peak:13,longest:12,steps:11,word:0,work:9086,nodes:54,pairs:38,completionMax:290us [11m12s] 27743 ab:aa=1,babbbb=abb infinite ab - - ab:aa=1,babb=abbb,bbbbb=bb [11m12s] from: 27743 ab:aa=1,babbbb=abb infinite to: 27129 ab:aa=1,ababbbb=bb infinite a=a,b=b [11m12s] # 27744 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:15,nodes:14,pairs:0,completionMax:4us [11m12s] 27744 ab:aa=1,babbbb=baa infinite ab - - ab:aa=1,babbbb=b [11m12s] from: 27744 ab:aa=1,babbbb=baa infinite to: 3401 ab:aa=1,babbbb=b infinite a=a,b=b [11m12s] # 27745 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:4us [11m12s] 27745 ab:aa=1,babbbb=bab infinite ab - - ab:aa=1,babbbb=bab [11m12s] # 27746 solved: rounds:5,rules:4,peak:6,longest:19,steps:7,word:9,work:1964,nodes:78,pairs:11,completionMax:158us [11m12s] 27746 ab:aa=1,babbbb=bba infinite reversed:b/a - - ab:bbbbbbbbbbbbbbbbb=bb,bbab=bbbbbba,babb=bbbbbbbbba,aa=1 [11m12s] from: 27746 ab:aa=1,babbbb=bba infinite to: 27160 ab:aa=1,abbbbab=bb infinite anti:a=a,b=b [11m12s] # 27747 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:3us [11m12s] 27747 ab:aa=1,babbbb=bbb infinite ab - - ab:aa=1,babbbb=bbb [11m12s] # 27748 solved: rounds:1,rules:2,peak:2,longest:8,steps:1,word:3,work:22,nodes:16,pairs:2,completionMax:12us [11m12s] 27748 ab:aa=1,bbaabb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 27748 ab:aa=1,bbaabb=aaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 27749 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:14,nodes:10,pairs:0,completionMax:3us [11m12s] 27749 ab:aa=1,bbaabb=aab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 27749 ab:aa=1,bbaabb=aab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 27750 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:718,nodes:64,pairs:7,completionMax:60us [11m12s] 27750 ab:aa=1,bbaabb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 27750 ab:aa=1,bbaabb=aba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27751 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:49,nodes:16,pairs:1,completionMax:9us [11m12s] 27751 ab:aa=1,bbaabb=abb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 27751 ab:aa=1,bbaabb=abb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 27752 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:13,nodes:8,pairs:0,completionMax:2us [11m12s] 27752 ab:aa=1,bbaabb=bab infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 27752 ab:aa=1,bbaabb=bab infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 27753 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:52,nodes:10,pairs:0,completionMax:3us [11m12s] 27753 ab:aa=1,bbaabb=bbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 27753 ab:aa=1,bbaabb=bbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 27754 solved: rounds:3,rules:3,peak:6,longest:7,steps:7,word:0,work:633,nodes:22,pairs:14,completionMax:63us [11m12s] 27754 ab:aa=1,bbabbb=aaa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb ab - - ab:aa=1,ba=ab,bbbbb=1 [11m12s] from: 27754 ab:aa=1,bbabbb=aaa finite:10;center:1,a,b,ab,bb,abb,bbb,abbb,bbbb,abbbb;commutative:ab:a2=1,b5=1;saturation:ab:b2=1,a5=1;cancellative;smith:10;group:a-a,b-bbbb to: 507 ab:aaa=b,abbb=1 finite:10;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b10=1,a=b7;saturation:a:a10=1;cancellative;smith:10;group:a-aaaaaaaaa,b-aaaaaaa a=bbbbb,b=bbbbbb [11m12s] # 27755 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1004,nodes:26,pairs:7,completionMax:51us [11m12s] 27755 ab:aa=1,bbabbb=aab infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 27755 ab:aa=1,bbabbb=aab infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 27756 solved: rounds:3,rules:11,peak:24,longest:15,steps:7,word:6,work:27660,nodes:144,pairs:128,completionMax:1148us [11m12s] 27756 ab:aa=1,bbabbb=aba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb b/a - - ab:bbbbbbbbb=b,babbbbbbbb=ba,bbbbbbbba=abbbbbbbb,aa=1,aba=bbabbb,abba=babbbbb,abbba=bbbbbbab,abbbba=bbbbabbbb,abbbbba=bbbbbbbabb,abbbbbba=bbbabbbbbbb,abbbbbbba=bbbbbabbbbbb [11m12s] from: 27756 ab:aa=1,bbabbb=aba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26619 ab:aa=1,abbabbba=b finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb a=a,b=b [11m12s] # 27757 solved: rounds:3,rules:3,peak:9,longest:8,steps:4,word:0,work:3078,nodes:54,pairs:35,completionMax:145us [11m12s] 27757 ab:aa=1,bbabbb=abb infinite ab - - ab:aa=1,babb=abbb,bbbbb=bb [11m12s] from: 27757 ab:aa=1,bbabbb=abb infinite to: 27129 ab:aa=1,ababbbb=bb infinite a=a,b=b [11m12s] # 27758 solved: rounds:2,rules:3,peak:5,longest:8,steps:5,word:0,work:1005,nodes:26,pairs:7,completionMax:37us [11m12s] 27758 ab:aa=1,bbabbb=baa infinite ab - - ab:aa=1,bbab=babb,babbbb=b [11m12s] from: 27758 ab:aa=1,bbabbb=baa infinite to: 3405 ab:aa=1,bbabbb=b infinite a=a,b=b [11m12s] # 27759 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:0,work:93,nodes:24,pairs:1,completionMax:15us [11m12s] 27759 ab:aa=1,bbabbb=bab infinite ba - - ab:aa=1,bbabbb=bab,bababbb=bbabbab [11m12s] # 27760 solved: rounds:2,rules:7,peak:8,longest:6,steps:4,word:2,work:368,nodes:30,pairs:12,completionMax:54us [11m12s] 27760 ab:aa=1,bbabbb=bba infinite ac/b bb=c frequency:2/0 abc:aa=1,cccc=c,caccc=ca,bc=ccc,cb=ccc,cab=cacc,bb=c [11m12s] # 27761 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:27,nodes:14,pairs:0,completionMax:5us [11m12s] 27761 ab:aa=1,bbabbb=bbb infinite ab - - ab:aa=1,bbabbb=bbb [11m12s] # 27762 solved: rounds:1,rules:2,peak:2,longest:12,steps:1,word:5,work:24,nodes:24,pairs:2,completionMax:18us [11m12s] 27762 ab:aa=1,bbbbbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb b/a - - ab:bbbbbbbbbbbb=1,a=bbbbbb [11m12s] from: 27762 ab:aa=1,bbbbbb=aaa finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b6;saturation:a:a12=1;cancellative;smith:12;group:a-bbbbbb,b-bbbbbbbbbbb to: 458 ab:aaaa=1,abbb=1 finite:12;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb,bbbbbbbbb,bbbbbbbbbb,bbbbbbbbbbb;commutative:ab:b12=1,a=b9;saturation:a:a12=1;cancellative;smith:12;group:a-bbb,b-bbbbbbbbbbb a=bbbbbb,b=b [11m12s] # 27763 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:14,nodes:14,pairs:0,completionMax:6us [11m12s] 27763 ab:aa=1,bbbbbb=aab infinite ab - - ab:aa=1,bbbbbb=b [11m12s] from: 27763 ab:aa=1,bbbbbb=aab infinite to: 3407 ab:aa=1,bbbbbb=b infinite a=a,b=b [11m12s] # 27764 solved: rounds:2,rules:3,peak:4,longest:37,steps:41,word:30,work:2476,nodes:144,pairs:7,completionMax:241us [11m12s] 27764 ab:aa=1,bbbbbb=aba finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b,ba=abbbbbb,aa=1 [11m12s] from: 27764 ab:aa=1,bbbbbb=aba finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 26637 ab:aa=1,abbbbbba=b finite:72;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 27765 solved: rounds:1,rules:3,peak:3,longest:10,steps:1,word:3,work:69,nodes:24,pairs:1,completionMax:13us [11m12s] 27765 ab:aa=1,bbbbbb=abb infinite b/a - - ab:bbbbbbbbbb=bb,abb=bbbbbb,aa=1 [11m12s] from: 27765 ab:aa=1,bbbbbb=abb infinite to: 27167 ab:aa=1,abbbbbb=bb infinite a=a,b=b [11m12s] # 27766 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:3,work:11,nodes:8,pairs:0,completionMax:3us [11m12s] 27766 ab:aa=1,bbbbbb=bab infinite b/a - - ab:bab=bbbbbb,aa=1 [11m12s] # 27767 solved: rounds:0,rules:2,peak:2,longest:6,steps:1,word:0,work:36,nodes:14,pairs:0,completionMax:6us [11m12s] 27767 ab:aa=1,bbbbbb=bbb infinite ab - - ab:aa=1,bbbbbb=bbb [11m12s] # 27768 solved: rounds:4,rules:2,peak:3,longest:6,steps:1,word:0,work:180,nodes:12,pairs:4,completionMax:35us [11m12s] 27768 ab:ab=1,aaaaaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27768 ab:ab=1,aaaaaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27769 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:42,nodes:12,pairs:2,completionMax:21us [11m12s] 27769 ab:ab=1,aaaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27769 ab:ab=1,aaaaaa=aab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27770 solved: rounds:2,rules:2,peak:3,longest:6,steps:1,word:0,work:41,nodes:12,pairs:2,completionMax:15us [11m12s] 27770 ab:ab=1,aaaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27770 ab:ab=1,aaaaaa=aba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27771 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:2,nodes:14,pairs:1,completionMax:7us [11m12s] 27771 ab:ab=1,aaaaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27771 ab:ab=1,aaaaaa=abb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27772 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:185,nodes:18,pairs:7,completionMax:32us [11m12s] 27772 ab:ab=1,aaaaaa=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27772 ab:ab=1,aaaaaa=baa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27773 solved: rounds:1,rules:2,peak:2,longest:7,steps:1,word:0,work:3,nodes:14,pairs:1,completionMax:5us [11m12s] 27773 ab:ab=1,aaaaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27773 ab:ab=1,aaaaaa=bab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27774 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:5,work:146,nodes:18,pairs:11,completionMax:35us [11m12s] 27774 ab:ab=1,aaaaaa=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27774 ab:ab=1,aaaaaa=bba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27775 solved: rounds:3,rules:2,peak:6,longest:13,steps:2,word:7,work:914,nodes:36,pairs:10,completionMax:73us [11m12s] 27775 ab:ab=1,aaaaaa=bbb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a a/b - - ab:aaaaaaaaa=1,b=aaaaaaaa [11m12s] from: 27775 ab:ab=1,aaaaaa=bbb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaaa,b=a [11m12s] # 27776 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:163,nodes:8,pairs:4,completionMax:16us [11m12s] 27776 ab:ab=1,aaaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27776 ab:ab=1,aaaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27777 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:34,nodes:8,pairs:2,completionMax:11us [11m12s] 27777 ab:ab=1,aaaaab=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27777 ab:ab=1,aaaaab=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27778 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:33,nodes:8,pairs:2,completionMax:9us [11m12s] 27778 ab:ab=1,aaaaab=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27778 ab:ab=1,aaaaab=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27779 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:5us [11m12s] 27779 ab:ab=1,aaaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27779 ab:ab=1,aaaaab=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27780 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:135,nodes:14,pairs:7,completionMax:32us [11m12s] 27780 ab:ab=1,aaaaab=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27780 ab:ab=1,aaaaab=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27781 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:9,nodes:10,pairs:1,completionMax:6us [11m12s] 27781 ab:ab=1,aaaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27781 ab:ab=1,aaaaab=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27782 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:116,nodes:14,pairs:11,completionMax:29us [11m12s] 27782 ab:ab=1,aaaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27782 ab:ab=1,aaaaab=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27783 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:386,nodes:24,pairs:10,completionMax:53us [11m12s] 27783 ab:ab=1,aaaaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27783 ab:ab=1,aaaaab=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27784 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:162,nodes:8,pairs:4,completionMax:17us [11m12s] 27784 ab:ab=1,aaaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27784 ab:ab=1,aaaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27785 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:33,nodes:8,pairs:2,completionMax:12us [11m12s] 27785 ab:ab=1,aaaaba=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27785 ab:ab=1,aaaaba=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27786 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:8,pairs:2,completionMax:11us [11m12s] 27786 ab:ab=1,aaaaba=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27786 ab:ab=1,aaaaba=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27787 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:7us [11m12s] 27787 ab:ab=1,aaaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27787 ab:ab=1,aaaaba=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27788 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:134,nodes:14,pairs:7,completionMax:33us [11m12s] 27788 ab:ab=1,aaaaba=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27788 ab:ab=1,aaaaba=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27789 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:8,nodes:10,pairs:1,completionMax:5us [11m12s] 27789 ab:ab=1,aaaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27789 ab:ab=1,aaaaba=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27790 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:115,nodes:14,pairs:11,completionMax:40us [11m12s] 27790 ab:ab=1,aaaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27790 ab:ab=1,aaaaba=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27791 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:385,nodes:24,pairs:10,completionMax:74us [11m12s] 27791 ab:ab=1,aaaaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27791 ab:ab=1,aaaaba=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27792 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:57,nodes:6,pairs:3,completionMax:13us [11m12s] 27792 ab:ab=1,aaaabb=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27792 ab:ab=1,aaaabb=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27793 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:21,nodes:4,pairs:2,completionMax:7us [11m12s] 27793 ab:ab=1,aaaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27793 ab:ab=1,aaaabb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27794 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:20,nodes:4,pairs:2,completionMax:4us [11m12s] 27794 ab:ab=1,aaaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27794 ab:ab=1,aaaabb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27795 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m12s] 27795 ab:ab=1,aaaabb=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27795 ab:ab=1,aaaabb=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27796 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:89,nodes:10,pairs:7,completionMax:18us [11m12s] 27796 ab:ab=1,aaaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27796 ab:ab=1,aaaabb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27797 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 27797 ab:ab=1,aaaabb=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27797 ab:ab=1,aaaabb=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27798 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:59,nodes:8,pairs:9,completionMax:20us [11m12s] 27798 ab:ab=1,aaaabb=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27798 ab:ab=1,aaaabb=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27799 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:86,nodes:12,pairs:7,completionMax:20us [11m12s] 27799 ab:ab=1,aaaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27799 ab:ab=1,aaaabb=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27800 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:161,nodes:8,pairs:4,completionMax:17us [11m12s] 27800 ab:ab=1,aaabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27800 ab:ab=1,aaabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27801 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:32,nodes:8,pairs:2,completionMax:10us [11m12s] 27801 ab:ab=1,aaabaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27801 ab:ab=1,aaabaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27802 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:2,completionMax:12us [11m12s] 27802 ab:ab=1,aaabaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27802 ab:ab=1,aaabaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27803 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:4us [11m12s] 27803 ab:ab=1,aaabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27803 ab:ab=1,aaabaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27804 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:133,nodes:14,pairs:7,completionMax:40us [11m12s] 27804 ab:ab=1,aaabaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27804 ab:ab=1,aaabaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27805 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:7,nodes:10,pairs:1,completionMax:4us [11m12s] 27805 ab:ab=1,aaabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27805 ab:ab=1,aaabaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27806 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:114,nodes:14,pairs:11,completionMax:33us [11m12s] 27806 ab:ab=1,aaabaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27806 ab:ab=1,aaabaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27807 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:384,nodes:24,pairs:10,completionMax:52us [11m12s] 27807 ab:ab=1,aaabaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27807 ab:ab=1,aaabaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27808 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:56,nodes:6,pairs:3,completionMax:9us [11m12s] 27808 ab:ab=1,aaabab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27808 ab:ab=1,aaabab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27809 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:20,nodes:4,pairs:2,completionMax:5us [11m12s] 27809 ab:ab=1,aaabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27809 ab:ab=1,aaabab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27810 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:19,nodes:4,pairs:2,completionMax:3us [11m12s] 27810 ab:ab=1,aaabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27810 ab:ab=1,aaabab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27811 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:3us [11m12s] 27811 ab:ab=1,aaabab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27811 ab:ab=1,aaabab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27812 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:88,nodes:10,pairs:7,completionMax:17us [11m12s] 27812 ab:ab=1,aaabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27812 ab:ab=1,aaabab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27813 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:3us [11m12s] 27813 ab:ab=1,aaabab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27813 ab:ab=1,aaabab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27814 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:58,nodes:8,pairs:9,completionMax:22us [11m12s] 27814 ab:ab=1,aaabab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27814 ab:ab=1,aaabab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27815 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:85,nodes:12,pairs:7,completionMax:28us [11m12s] 27815 ab:ab=1,aaabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27815 ab:ab=1,aaabab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27816 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:13us [11m12s] 27816 ab:ab=1,aaabba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27816 ab:ab=1,aaabba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27817 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:19,nodes:4,pairs:2,completionMax:5us [11m12s] 27817 ab:ab=1,aaabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27817 ab:ab=1,aaabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27818 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:4us [11m12s] 27818 ab:ab=1,aaabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27818 ab:ab=1,aaabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27819 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:6us [11m12s] 27819 ab:ab=1,aaabba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27819 ab:ab=1,aaabba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27820 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:28us [11m12s] 27820 ab:ab=1,aaabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27820 ab:ab=1,aaabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27821 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:5us [11m12s] 27821 ab:ab=1,aaabba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27821 ab:ab=1,aaabba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27822 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:57,nodes:8,pairs:9,completionMax:21us [11m12s] 27822 ab:ab=1,aaabba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27822 ab:ab=1,aaabba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27823 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:84,nodes:12,pairs:7,completionMax:26us [11m12s] 27823 ab:ab=1,aaabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27823 ab:ab=1,aaabba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27824 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 27824 ab:ab=1,aaabbb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27824 ab:ab=1,aaabbb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27825 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:12,nodes:4,pairs:1,completionMax:2us [11m12s] 27825 ab:ab=1,aaabbb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27825 ab:ab=1,aaabbb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27826 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:5us [11m12s] 27826 ab:ab=1,aaabbb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27826 ab:ab=1,aaabbb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27827 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:44,nodes:8,pairs:8,completionMax:20us [11m12s] 27827 ab:ab=1,aaabbb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27827 ab:ab=1,aaabbb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27828 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:160,nodes:8,pairs:4,completionMax:24us [11m12s] 27828 ab:ab=1,aabaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27828 ab:ab=1,aabaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27829 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:8,pairs:2,completionMax:11us [11m12s] 27829 ab:ab=1,aabaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27829 ab:ab=1,aabaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27830 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:2,completionMax:9us [11m12s] 27830 ab:ab=1,aabaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27830 ab:ab=1,aabaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27831 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:6us [11m12s] 27831 ab:ab=1,aabaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27831 ab:ab=1,aabaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27832 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:132,nodes:14,pairs:7,completionMax:32us [11m12s] 27832 ab:ab=1,aabaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27832 ab:ab=1,aabaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27833 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:6,nodes:10,pairs:1,completionMax:5us [11m12s] 27833 ab:ab=1,aabaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27833 ab:ab=1,aabaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27834 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:113,nodes:14,pairs:11,completionMax:27us [11m12s] 27834 ab:ab=1,aabaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27834 ab:ab=1,aabaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27835 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:383,nodes:24,pairs:10,completionMax:50us [11m12s] 27835 ab:ab=1,aabaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27835 ab:ab=1,aabaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27836 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:9us [11m12s] 27836 ab:ab=1,aabaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27836 ab:ab=1,aabaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27837 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:19,nodes:4,pairs:2,completionMax:5us [11m12s] 27837 ab:ab=1,aabaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27837 ab:ab=1,aabaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27838 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:9us [11m12s] 27838 ab:ab=1,aabaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27838 ab:ab=1,aabaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27839 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 27839 ab:ab=1,aabaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27839 ab:ab=1,aabaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27840 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:28us [11m12s] 27840 ab:ab=1,aabaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27840 ab:ab=1,aabaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27841 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:5us [11m12s] 27841 ab:ab=1,aabaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27841 ab:ab=1,aabaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27842 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:57,nodes:8,pairs:9,completionMax:37us [11m12s] 27842 ab:ab=1,aabaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27842 ab:ab=1,aabaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27843 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:84,nodes:12,pairs:7,completionMax:23us [11m12s] 27843 ab:ab=1,aabaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27843 ab:ab=1,aabaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27844 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:10us [11m12s] 27844 ab:ab=1,aababa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27844 ab:ab=1,aababa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27845 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:8us [11m12s] 27845 ab:ab=1,aababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27845 ab:ab=1,aababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27846 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:4us [11m12s] 27846 ab:ab=1,aababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27846 ab:ab=1,aababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27847 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m12s] 27847 ab:ab=1,aababa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27847 ab:ab=1,aababa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27848 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:23us [11m12s] 27848 ab:ab=1,aababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27848 ab:ab=1,aababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27849 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 27849 ab:ab=1,aababa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27849 ab:ab=1,aababa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27850 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:56,nodes:8,pairs:9,completionMax:24us [11m12s] 27850 ab:ab=1,aababa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27850 ab:ab=1,aababa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27851 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:83,nodes:12,pairs:7,completionMax:30us [11m12s] 27851 ab:ab=1,aababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27851 ab:ab=1,aababa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27852 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:11,nodes:6,pairs:1,completionMax:5us [11m12s] 27852 ab:ab=1,aababb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27852 ab:ab=1,aababb=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27853 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:11,nodes:4,pairs:1,completionMax:3us [11m12s] 27853 ab:ab=1,aababb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27853 ab:ab=1,aababb=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27854 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:3us [11m12s] 27854 ab:ab=1,aababb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27854 ab:ab=1,aababb=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27855 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:43,nodes:8,pairs:8,completionMax:21us [11m12s] 27855 ab:ab=1,aababb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27855 ab:ab=1,aababb=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27856 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:17us [11m12s] 27856 ab:ab=1,aabbaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27856 ab:ab=1,aabbaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27857 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:8us [11m12s] 27857 ab:ab=1,aabbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27857 ab:ab=1,aabbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27858 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:4us [11m12s] 27858 ab:ab=1,aabbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27858 ab:ab=1,aabbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27859 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [11m12s] 27859 ab:ab=1,aabbaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27859 ab:ab=1,aabbaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27860 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:23us [11m12s] 27860 ab:ab=1,aabbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27860 ab:ab=1,aabbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27861 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:3us [11m12s] 27861 ab:ab=1,aabbaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27861 ab:ab=1,aabbaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27862 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:55,nodes:8,pairs:9,completionMax:23us [11m12s] 27862 ab:ab=1,aabbaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27862 ab:ab=1,aabbaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27863 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:82,nodes:12,pairs:7,completionMax:28us [11m12s] 27863 ab:ab=1,aabbaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27863 ab:ab=1,aabbaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27864 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:10,nodes:6,pairs:1,completionMax:6us [11m12s] 27864 ab:ab=1,aabbab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27864 ab:ab=1,aabbab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27865 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 27865 ab:ab=1,aabbab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27865 ab:ab=1,aabbab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27866 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:3us [11m12s] 27866 ab:ab=1,aabbab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27866 ab:ab=1,aabbab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27867 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:4us [11m12s] 27867 ab:ab=1,aabbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27867 ab:ab=1,aabbab=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27868 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:14us [11m12s] 27868 ab:ab=1,aabbab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27868 ab:ab=1,aabbab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27869 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 27869 ab:ab=1,aabbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27869 ab:ab=1,aabbab=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27870 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:42,nodes:8,pairs:8,completionMax:15us [11m12s] 27870 ab:ab=1,aabbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27870 ab:ab=1,aabbab=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27871 solved: rounds:2,rules:2,peak:4,longest:3,steps:3,word:1,work:32,nodes:8,pairs:5,completionMax:12us [11m12s] 27871 ab:ab=1,aabbab=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27871 ab:ab=1,aabbab=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27872 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:10,pairs:4,completionMax:20us [11m12s] 27872 ab:ab=1,aabbba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27872 ab:ab=1,aabbba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27873 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:7us [11m12s] 27873 ab:ab=1,aabbba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27873 ab:ab=1,aabbba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27874 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:14us [11m12s] 27874 ab:ab=1,aabbba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27874 ab:ab=1,aabbba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27875 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:3,completionMax:14us [11m12s] 27875 ab:ab=1,aabbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27875 ab:ab=1,aabbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27876 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:16us [11m12s] 27876 ab:ab=1,aabbba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27876 ab:ab=1,aabbba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27877 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:3,completionMax:9us [11m12s] 27877 ab:ab=1,aabbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27877 ab:ab=1,aabbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27878 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:7,completionMax:17us [11m12s] 27878 ab:ab=1,aabbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27878 ab:ab=1,aabbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27879 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:90,nodes:10,pairs:12,completionMax:27us [11m12s] 27879 ab:ab=1,aabbba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27879 ab:ab=1,aabbba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27880 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:159,nodes:8,pairs:4,completionMax:23us [11m12s] 27880 ab:ab=1,abaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27880 ab:ab=1,abaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27881 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:2,completionMax:9us [11m12s] 27881 ab:ab=1,abaaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27881 ab:ab=1,abaaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27882 solved: rounds:2,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:8,pairs:2,completionMax:9us [11m12s] 27882 ab:ab=1,abaaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27882 ab:ab=1,abaaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27883 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:4,nodes:10,pairs:1,completionMax:6us [11m12s] 27883 ab:ab=1,abaaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27883 ab:ab=1,abaaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27884 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:131,nodes:14,pairs:7,completionMax:31us [11m12s] 27884 ab:ab=1,abaaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27884 ab:ab=1,abaaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27885 solved: rounds:1,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:1,completionMax:5us [11m12s] 27885 ab:ab=1,abaaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27885 ab:ab=1,abaaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27886 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:112,nodes:14,pairs:11,completionMax:40us [11m12s] 27886 ab:ab=1,abaaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27886 ab:ab=1,abaaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27887 solved: rounds:3,rules:2,peak:6,longest:9,steps:2,word:5,work:382,nodes:24,pairs:10,completionMax:65us [11m12s] 27887 ab:ab=1,abaaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27887 ab:ab=1,abaaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27888 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:12us [11m12s] 27888 ab:ab=1,abaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27888 ab:ab=1,abaaab=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27889 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:7us [11m12s] 27889 ab:ab=1,abaaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27889 ab:ab=1,abaaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27890 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:4us [11m12s] 27890 ab:ab=1,abaaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27890 ab:ab=1,abaaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27891 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:6us [11m12s] 27891 ab:ab=1,abaaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27891 ab:ab=1,abaaab=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27892 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:24us [11m12s] 27892 ab:ab=1,abaaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27892 ab:ab=1,abaaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27893 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 27893 ab:ab=1,abaaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27893 ab:ab=1,abaaab=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27894 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:56,nodes:8,pairs:9,completionMax:19us [11m12s] 27894 ab:ab=1,abaaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27894 ab:ab=1,abaaab=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27895 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:83,nodes:12,pairs:7,completionMax:24us [11m12s] 27895 ab:ab=1,abaaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27895 ab:ab=1,abaaab=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27896 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:11us [11m12s] 27896 ab:ab=1,abaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27896 ab:ab=1,abaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27897 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:5us [11m12s] 27897 ab:ab=1,abaaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27897 ab:ab=1,abaaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27898 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:8us [11m12s] 27898 ab:ab=1,abaaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27898 ab:ab=1,abaaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27899 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [11m12s] 27899 ab:ab=1,abaaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27899 ab:ab=1,abaaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27900 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:23us [11m12s] 27900 ab:ab=1,abaaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27900 ab:ab=1,abaaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27901 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:4us [11m12s] 27901 ab:ab=1,abaaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27901 ab:ab=1,abaaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27902 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:55,nodes:8,pairs:9,completionMax:21us [11m12s] 27902 ab:ab=1,abaaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27902 ab:ab=1,abaaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27903 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:82,nodes:12,pairs:7,completionMax:31us [11m12s] 27903 ab:ab=1,abaaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27903 ab:ab=1,abaaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27904 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:6,pairs:3,completionMax:13us [11m12s] 27904 ab:ab=1,ababaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27904 ab:ab=1,ababaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27905 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:9us [11m12s] 27905 ab:ab=1,ababaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27905 ab:ab=1,ababaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27906 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:15,nodes:4,pairs:2,completionMax:6us [11m12s] 27906 ab:ab=1,ababaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27906 ab:ab=1,ababaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27907 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:6,pairs:1,completionMax:4us [11m12s] 27907 ab:ab=1,ababaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27907 ab:ab=1,ababaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27908 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:7,completionMax:24us [11m12s] 27908 ab:ab=1,ababaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27908 ab:ab=1,ababaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27909 solved: rounds:1,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:6,pairs:1,completionMax:4us [11m12s] 27909 ab:ab=1,ababaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27909 ab:ab=1,ababaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27910 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:54,nodes:8,pairs:9,completionMax:17us [11m12s] 27910 ab:ab=1,ababaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27910 ab:ab=1,ababaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27911 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:3,work:81,nodes:12,pairs:7,completionMax:20us [11m12s] 27911 ab:ab=1,ababaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27911 ab:ab=1,ababaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27912 solved: rounds:1,rules:2,peak:3,longest:3,steps:3,word:0,work:9,nodes:6,pairs:1,completionMax:3us [11m12s] 27912 ab:ab=1,ababab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27912 ab:ab=1,ababab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27913 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 27913 ab:ab=1,ababab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27913 ab:ab=1,ababab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27914 solved: rounds:1,rules:2,peak:2,longest:2,steps:3,word:0,work:8,nodes:4,pairs:1,completionMax:1us [11m12s] 27914 ab:ab=1,ababab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27914 ab:ab=1,ababab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27915 solved: rounds:2,rules:2,peak:5,longest:3,steps:3,word:0,work:41,nodes:8,pairs:8,completionMax:21us [11m12s] 27915 ab:ab=1,ababab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27915 ab:ab=1,ababab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27916 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:38,nodes:10,pairs:4,completionMax:17us [11m12s] 27916 ab:ab=1,ababba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27916 ab:ab=1,ababba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27917 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:10us [11m12s] 27917 ab:ab=1,ababba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27917 ab:ab=1,ababba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27918 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:4,completionMax:6us [11m12s] 27918 ab:ab=1,ababba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27918 ab:ab=1,ababba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27919 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:20,nodes:6,pairs:3,completionMax:9us [11m12s] 27919 ab:ab=1,ababba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27919 ab:ab=1,ababba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27920 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:49,nodes:8,pairs:6,completionMax:26us [11m12s] 27920 ab:ab=1,ababba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27920 ab:ab=1,ababba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27921 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:3,completionMax:7us [11m12s] 27921 ab:ab=1,ababba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27921 ab:ab=1,ababba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27922 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:7,completionMax:23us [11m12s] 27922 ab:ab=1,ababba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27922 ab:ab=1,ababba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27923 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:89,nodes:10,pairs:12,completionMax:26us [11m12s] 27923 ab:ab=1,ababba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27923 ab:ab=1,ababba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27924 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:273,nodes:14,pairs:10,completionMax:40us [11m12s] 27924 ab:ab=1,abbaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27924 ab:ab=1,abbaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27925 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:22us [11m12s] 27925 ab:ab=1,abbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27925 ab:ab=1,abbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27926 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:12,pairs:12,completionMax:17us [11m12s] 27926 ab:ab=1,abbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27926 ab:ab=1,abbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27927 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:12,pairs:4,completionMax:12us [11m12s] 27927 ab:ab=1,abbaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27927 ab:ab=1,abbaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27928 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:151,nodes:12,pairs:9,completionMax:23us [11m12s] 27928 ab:ab=1,abbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27928 ab:ab=1,abbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27929 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:4,completionMax:14us [11m12s] 27929 ab:ab=1,abbaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27929 ab:ab=1,abbaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27930 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:98,nodes:10,pairs:9,completionMax:37us [11m12s] 27930 ab:ab=1,abbaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27930 ab:ab=1,abbaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27931 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:234,nodes:18,pairs:17,completionMax:62us [11m12s] 27931 ab:ab=1,abbaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27931 ab:ab=1,abbaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27932 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:10,pairs:4,completionMax:19us [11m12s] 27932 ab:ab=1,abbaab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27932 ab:ab=1,abbaab=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27933 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:8us [11m12s] 27933 ab:ab=1,abbaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27933 ab:ab=1,abbaab=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27934 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:9us [11m12s] 27934 ab:ab=1,abbaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27934 ab:ab=1,abbaab=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27935 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:16us [11m12s] 27935 ab:ab=1,abbaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27935 ab:ab=1,abbaab=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27936 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:39,nodes:10,pairs:4,completionMax:19us [11m12s] 27936 ab:ab=1,abbaba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27936 ab:ab=1,abbaba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27937 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:9us [11m12s] 27937 ab:ab=1,abbaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27937 ab:ab=1,abbaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27938 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:5us [11m12s] 27938 ab:ab=1,abbaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27938 ab:ab=1,abbaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27939 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:3,completionMax:9us [11m12s] 27939 ab:ab=1,abbaba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27939 ab:ab=1,abbaba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27940 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:21us [11m12s] 27940 ab:ab=1,abbaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27940 ab:ab=1,abbaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27941 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:3,completionMax:9us [11m12s] 27941 ab:ab=1,abbaba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27941 ab:ab=1,abbaba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27942 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:7,completionMax:22us [11m12s] 27942 ab:ab=1,abbaba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27942 ab:ab=1,abbaba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27943 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:90,nodes:10,pairs:12,completionMax:31us [11m12s] 27943 ab:ab=1,abbaba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27943 ab:ab=1,abbaba=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27944 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:178,nodes:16,pairs:14,completionMax:50us [11m12s] 27944 ab:ab=1,abbbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27944 ab:ab=1,abbbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27945 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:29us [11m12s] 27945 ab:ab=1,abbbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27945 ab:ab=1,abbbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27946 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:36us [11m12s] 27946 ab:ab=1,abbbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27946 ab:ab=1,abbbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27947 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:94,nodes:12,pairs:14,completionMax:27us [11m12s] 27947 ab:ab=1,abbbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27947 ab:ab=1,abbbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27948 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:147,nodes:12,pairs:12,completionMax:36us [11m12s] 27948 ab:ab=1,abbbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27948 ab:ab=1,abbbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27949 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:28us [11m12s] 27949 ab:ab=1,abbbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27949 ab:ab=1,abbbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27950 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:151,nodes:12,pairs:11,completionMax:31us [11m12s] 27950 ab:ab=1,abbbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27950 ab:ab=1,abbbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27951 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:1,work:267,nodes:20,pairs:12,completionMax:35us [11m12s] 27951 ab:ab=1,abbbaa=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27951 ab:ab=1,abbbaa=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27952 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:3,work:133,nodes:14,pairs:17,completionMax:34us [11m12s] 27952 ab:ab=1,abbbba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27952 ab:ab=1,abbbba=aaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27953 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:137,nodes:12,pairs:14,completionMax:32us [11m12s] 27953 ab:ab=1,abbbba=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27953 ab:ab=1,abbbba=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27954 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:136,nodes:12,pairs:14,completionMax:47us [11m12s] 27954 ab:ab=1,abbbba=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27954 ab:ab=1,abbbba=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27955 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:82,nodes:10,pairs:13,completionMax:20us [11m12s] 27955 ab:ab=1,abbbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27955 ab:ab=1,abbbba=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27956 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:193,nodes:14,pairs:13,completionMax:48us [11m12s] 27956 ab:ab=1,abbbba=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27956 ab:ab=1,abbbba=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27957 solved: rounds:3,rules:2,peak:4,longest:4,steps:3,word:0,work:83,nodes:10,pairs:13,completionMax:24us [11m12s] 27957 ab:ab=1,abbbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27957 ab:ab=1,abbbba=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27958 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:151,nodes:10,pairs:10,completionMax:36us [11m12s] 27958 ab:ab=1,abbbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27958 ab:ab=1,abbbba=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27959 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:275,nodes:10,pairs:9,completionMax:34us [11m12s] 27959 ab:ab=1,abbbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27959 ab:ab=1,abbbba=bbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27960 solved: rounds:5,rules:2,peak:5,longest:6,steps:4,word:0,work:482,nodes:20,pairs:19,completionMax:54us [11m12s] 27960 ab:ab=1,baaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27960 ab:ab=1,baaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27961 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:171,nodes:20,pairs:13,completionMax:42us [11m12s] 27961 ab:ab=1,baaaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27961 ab:ab=1,baaaaa=aab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27962 solved: rounds:2,rules:2,peak:6,longest:6,steps:2,word:1,work:170,nodes:20,pairs:13,completionMax:35us [11m12s] 27962 ab:ab=1,baaaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27962 ab:ab=1,baaaaa=aba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27963 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:51,nodes:20,pairs:4,completionMax:21us [11m12s] 27963 ab:ab=1,baaaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27963 ab:ab=1,baaaaa=abb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27964 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:1,work:220,nodes:20,pairs:10,completionMax:46us [11m12s] 27964 ab:ab=1,baaaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27964 ab:ab=1,baaaaa=baa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27965 solved: rounds:2,rules:2,peak:4,longest:6,steps:2,word:3,work:52,nodes:20,pairs:4,completionMax:17us [11m12s] 27965 ab:ab=1,baaaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27965 ab:ab=1,baaaaa=bab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27966 solved: rounds:3,rules:2,peak:5,longest:8,steps:2,word:3,work:152,nodes:14,pairs:9,completionMax:37us [11m12s] 27966 ab:ab=1,baaaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27966 ab:ab=1,baaaaa=bba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27967 solved: rounds:3,rules:2,peak:5,longest:11,steps:2,word:5,work:494,nodes:28,pairs:17,completionMax:68us [11m12s] 27967 ab:ab=1,baaaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 27967 ab:ab=1,baaaaa=bbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 27968 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:276,nodes:14,pairs:10,completionMax:34us [11m12s] 27968 ab:ab=1,baaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27968 ab:ab=1,baaaba=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27969 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:12,completionMax:21us [11m12s] 27969 ab:ab=1,baaaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27969 ab:ab=1,baaaba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27970 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:25us [11m12s] 27970 ab:ab=1,baaaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27970 ab:ab=1,baaaba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27971 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:4,completionMax:18us [11m12s] 27971 ab:ab=1,baaaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27971 ab:ab=1,baaaba=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27972 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:154,nodes:12,pairs:9,completionMax:34us [11m12s] 27972 ab:ab=1,baaaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27972 ab:ab=1,baaaba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27973 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:43,nodes:12,pairs:4,completionMax:13us [11m12s] 27973 ab:ab=1,baaaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27973 ab:ab=1,baaaba=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27974 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:101,nodes:10,pairs:9,completionMax:33us [11m12s] 27974 ab:ab=1,baaaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27974 ab:ab=1,baaaba=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27975 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:237,nodes:18,pairs:17,completionMax:55us [11m12s] 27975 ab:ab=1,baaaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27975 ab:ab=1,baaaba=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27976 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:275,nodes:14,pairs:10,completionMax:45us [11m12s] 27976 ab:ab=1,baabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27976 ab:ab=1,baabaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27977 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:23us [11m12s] 27977 ab:ab=1,baabaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27977 ab:ab=1,baabaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27978 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:12,completionMax:29us [11m12s] 27978 ab:ab=1,baabaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27978 ab:ab=1,baabaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27979 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:12,pairs:4,completionMax:15us [11m12s] 27979 ab:ab=1,baabaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27979 ab:ab=1,baabaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27980 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:153,nodes:12,pairs:9,completionMax:35us [11m12s] 27980 ab:ab=1,baabaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27980 ab:ab=1,baabaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27981 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:42,nodes:12,pairs:4,completionMax:15us [11m12s] 27981 ab:ab=1,baabaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27981 ab:ab=1,baabaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27982 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:100,nodes:10,pairs:9,completionMax:32us [11m12s] 27982 ab:ab=1,baabaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27982 ab:ab=1,baabaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27983 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:236,nodes:18,pairs:17,completionMax:58us [11m12s] 27983 ab:ab=1,baabaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27983 ab:ab=1,baabaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27984 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:10,pairs:4,completionMax:16us [11m12s] 27984 ab:ab=1,baabba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27984 ab:ab=1,baabba=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27985 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:25,nodes:6,pairs:4,completionMax:8us [11m12s] 27985 ab:ab=1,baabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27985 ab:ab=1,baabba=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27986 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:6us [11m12s] 27986 ab:ab=1,baabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27986 ab:ab=1,baabba=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27987 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:21us [11m12s] 27987 ab:ab=1,baabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27987 ab:ab=1,baabba=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27988 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:274,nodes:14,pairs:10,completionMax:38us [11m12s] 27988 ab:ab=1,babaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27988 ab:ab=1,babaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27989 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:12,completionMax:18us [11m12s] 27989 ab:ab=1,babaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27989 ab:ab=1,babaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27990 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:26us [11m12s] 27990 ab:ab=1,babaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27990 ab:ab=1,babaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27991 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:12,pairs:4,completionMax:16us [11m12s] 27991 ab:ab=1,babaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27991 ab:ab=1,babaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27992 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:152,nodes:12,pairs:9,completionMax:31us [11m12s] 27992 ab:ab=1,babaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27992 ab:ab=1,babaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27993 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:41,nodes:12,pairs:4,completionMax:14us [11m12s] 27993 ab:ab=1,babaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27993 ab:ab=1,babaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27994 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:99,nodes:10,pairs:9,completionMax:24us [11m12s] 27994 ab:ab=1,babaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27994 ab:ab=1,babaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27995 solved: rounds:3,rules:2,peak:5,longest:7,steps:2,word:3,work:235,nodes:18,pairs:17,completionMax:40us [11m12s] 27995 ab:ab=1,babaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 27995 ab:ab=1,babaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 27996 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:40,nodes:10,pairs:4,completionMax:11us [11m12s] 27996 ab:ab=1,bababa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 27996 ab:ab=1,bababa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 27997 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:7us [11m12s] 27997 ab:ab=1,bababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27997 ab:ab=1,bababa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27998 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:6us [11m12s] 27998 ab:ab=1,bababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27998 ab:ab=1,bababa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 27999 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:17us [11m12s] 27999 ab:ab=1,bababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 27999 ab:ab=1,bababa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28000 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:179,nodes:16,pairs:14,completionMax:34us [11m12s] 28000 ab:ab=1,babbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28000 ab:ab=1,babbaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28001 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:24us [11m12s] 28001 ab:ab=1,babbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28001 ab:ab=1,babbaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28002 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:34us [11m12s] 28002 ab:ab=1,babbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28002 ab:ab=1,babbaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28003 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:25us [11m12s] 28003 ab:ab=1,babbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28003 ab:ab=1,babbaa=abb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28004 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:148,nodes:12,pairs:12,completionMax:36us [11m12s] 28004 ab:ab=1,babbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28004 ab:ab=1,babbaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28005 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:26us [11m12s] 28005 ab:ab=1,babbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28005 ab:ab=1,babbaa=bab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28006 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:152,nodes:12,pairs:11,completionMax:33us [11m12s] 28006 ab:ab=1,babbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28006 ab:ab=1,babbaa=bba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28007 solved: rounds:3,rules:2,peak:5,longest:6,steps:3,word:1,work:268,nodes:20,pairs:12,completionMax:34us [11m12s] 28007 ab:ab=1,babbaa=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28007 ab:ab=1,babbaa=bbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28008 solved: rounds:5,rules:2,peak:7,longest:6,steps:4,word:0,work:583,nodes:22,pairs:31,completionMax:60us [11m12s] 28008 ab:ab=1,bbaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28008 ab:ab=1,bbaaaa=aaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28009 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:314,nodes:22,pairs:35,completionMax:49us [11m12s] 28009 ab:ab=1,bbaaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28009 ab:ab=1,bbaaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28010 solved: rounds:3,rules:2,peak:7,longest:6,steps:4,word:0,work:313,nodes:22,pairs:35,completionMax:45us [11m12s] 28010 ab:ab=1,bbaaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28010 ab:ab=1,bbaaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28011 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:279,nodes:22,pairs:23,completionMax:64us [11m12s] 28011 ab:ab=1,bbaaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28011 ab:ab=1,bbaaaa=abb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28012 solved: rounds:4,rules:2,peak:8,longest:6,steps:3,word:0,work:326,nodes:22,pairs:32,completionMax:55us [11m12s] 28012 ab:ab=1,bbaaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28012 ab:ab=1,bbaaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28013 solved: rounds:3,rules:2,peak:7,longest:6,steps:3,word:1,work:280,nodes:22,pairs:23,completionMax:61us [11m12s] 28013 ab:ab=1,bbaaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28013 ab:ab=1,bbaaaa=bab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28014 solved: rounds:4,rules:2,peak:6,longest:6,steps:3,word:1,work:244,nodes:22,pairs:12,completionMax:54us [11m12s] 28014 ab:ab=1,bbaaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28014 ab:ab=1,bbaaaa=bba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28015 solved: rounds:3,rules:2,peak:5,longest:12,steps:3,word:3,work:874,nodes:44,pairs:12,completionMax:75us [11m12s] 28015 ab:ab=1,bbaaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28015 ab:ab=1,bbaaaa=bbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28016 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:180,nodes:16,pairs:14,completionMax:47us [11m12s] 28016 ab:ab=1,bbabaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28016 ab:ab=1,bbabaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28017 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:12,pairs:14,completionMax:31us [11m12s] 28017 ab:ab=1,bbabaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28017 ab:ab=1,bbabaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28018 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:29us [11m12s] 28018 ab:ab=1,bbabaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28018 ab:ab=1,bbabaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28019 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:149,nodes:12,pairs:12,completionMax:43us [11m12s] 28019 ab:ab=1,bbabaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28019 ab:ab=1,bbabaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28020 solved: rounds:5,rules:2,peak:9,longest:6,steps:2,word:1,work:800,nodes:28,pairs:30,completionMax:126us [11m12s] 28020 ab:ab=1,bbbaaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28020 ab:ab=1,bbbaaa=aaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28021 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:357,nodes:20,pairs:19,completionMax:41us [11m12s] 28021 ab:ab=1,bbbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28021 ab:ab=1,bbbaaa=aab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28022 solved: rounds:3,rules:2,peak:8,longest:6,steps:5,word:0,work:356,nodes:20,pairs:19,completionMax:48us [11m12s] 28022 ab:ab=1,bbbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28022 ab:ab=1,bbbaaa=aba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28023 solved: rounds:4,rules:2,peak:8,longest:6,steps:3,word:0,work:329,nodes:20,pairs:35,completionMax:84us [11m12s] 28023 ab:ab=1,bbbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28023 ab:ab=1,bbbaaa=baa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28024 solved: rounds:0,rules:1,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:0,completionMax:3us [11m12s] 28024 ab:aa=1,aaaaa=aaaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 ab - - ab:a=1 [11m12s] from: 28024 ab:aa=1,aaaaa=aaaa infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 to: 11 ab:aa=1,aaa=1 infinite;commutative:ab:a=1;saturation:a:;cancellative;smith:0 a=1,b=b [11m12s] # 28025 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [11m12s] 28025 ab:aa=1,aaaaa=aaab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 28025 ab:aa=1,aaaaa=aaab finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 28026 solved: rounds:1,rules:2,peak:3,longest:2,steps:2,word:0,work:8,nodes:6,pairs:1,completionMax:5us [11m12s] 28026 ab:aa=1,aaaaa=aaba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 28026 ab:aa=1,aaaaa=aaba finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 28027 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:16,nodes:8,pairs:2,completionMax:8us [11m12s] 28027 ab:aa=1,aaaaa=aabb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28027 ab:aa=1,aaaaa=aabb finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28028 solved: rounds:2,rules:2,peak:5,longest:4,steps:2,word:1,work:81,nodes:14,pairs:11,completionMax:27us [11m12s] 28028 ab:aa=1,aaaaa=abab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28028 ab:aa=1,aaaaa=abab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28029 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:1,work:44,nodes:12,pairs:8,completionMax:20us [11m12s] 28029 ab:aa=1,aaaaa=abba finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28029 ab:aa=1,aaaaa=abba finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28030 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:6,nodes:12,pairs:1,completionMax:8us [11m12s] 28030 ab:aa=1,aaaaa=abbb infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 28030 ab:aa=1,aaaaa=abbb infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 28031 solved: rounds:1,rules:2,peak:2,longest:4,steps:2,word:1,work:17,nodes:8,pairs:2,completionMax:8us [11m12s] 28031 ab:aa=1,aaaaa=baab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28031 ab:aa=1,aaaaa=baab finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28032 solved: rounds:3,rules:3,peak:6,longest:4,steps:4,word:0,work:265,nodes:18,pairs:8,completionMax:39us [11m12s] 28032 ab:aa=1,aaaaa=babb finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 28032 ab:aa=1,aaaaa=babb finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 28033 solved: rounds:1,rules:2,peak:2,longest:8,steps:2,word:3,work:20,nodes:16,pairs:2,completionMax:9us [11m12s] 28033 ab:aa=1,aaaaa=bbbb finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 28033 ab:aa=1,aaaaa=bbbb finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 28034 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:1us [11m12s] 28034 ab:aa=1,aaaab=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 28034 ab:aa=1,aaaab=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 28035 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:0,completionMax:2us [11m12s] 28035 ab:aa=1,aaaab=aaab infinite ab - - ab:aa=1,ab=b [11m12s] from: 28035 ab:aa=1,aaaab=aaab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 28036 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:6,pairs:0,completionMax:1us [11m12s] 28036 ab:aa=1,aaaab=aaba infinite ab - - ab:aa=1,ba=b [11m12s] from: 28036 ab:aa=1,aaaab=aaba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 28037 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:6,pairs:0,completionMax:1us [11m12s] 28037 ab:aa=1,aaaab=aabb infinite ab - - ab:aa=1,bb=b [11m12s] from: 28037 ab:aa=1,aaaab=aabb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28038 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:0,completionMax:3us [11m12s] 28038 ab:aa=1,aaaab=abaa infinite ab - - ab:aa=1,ab=b [11m12s] from: 28038 ab:aa=1,aaaab=abaa infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 28039 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:78,nodes:12,pairs:6,completionMax:19us [11m12s] 28039 ab:aa=1,aaaab=abab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28039 ab:aa=1,aaaab=abab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28040 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:123,nodes:16,pairs:7,completionMax:25us [11m12s] 28040 ab:aa=1,aaaab=abba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28040 ab:aa=1,aaaab=abba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28041 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:28,nodes:12,pairs:3,completionMax:12us [11m12s] 28041 ab:aa=1,aaaab=abbb finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28041 ab:aa=1,aaaab=abbb finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28042 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m12s] 28042 ab:aa=1,aaaab=baaa infinite ab - - ab:aa=1,ba=b [11m12s] from: 28042 ab:aa=1,aaaab=baaa infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 28043 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:2us [11m12s] 28043 ab:aa=1,aaaab=baab infinite ab - - ab:aa=1,bb=b [11m12s] from: 28043 ab:aa=1,aaaab=baab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28044 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:86,nodes:12,pairs:6,completionMax:20us [11m12s] 28044 ab:aa=1,aaaab=baba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28044 ab:aa=1,aaaab=baba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28045 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 28045 ab:aa=1,aaaab=babb infinite ab - - ab:aa=1,babb=b [11m12s] from: 28045 ab:aa=1,aaaab=babb infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 28046 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:3us [11m12s] 28046 ab:aa=1,aaaab=bbaa infinite ab - - ab:aa=1,bb=b [11m12s] from: 28046 ab:aa=1,aaaab=bbaa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28047 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 28047 ab:aa=1,aaaab=bbab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 28047 ab:aa=1,aaaab=bbab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 28048 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:25,nodes:12,pairs:2,completionMax:13us [11m12s] 28048 ab:aa=1,aaaab=bbba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28048 ab:aa=1,aaaab=bbba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28049 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 28049 ab:aa=1,aaaab=bbbb infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 28049 ab:aa=1,aaaab=bbbb infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 28050 solved: rounds:2,rules:2,peak:4,longest:3,steps:2,word:0,work:37,nodes:8,pairs:7,completionMax:19us [11m12s] 28050 ab:aa=1,aaaba=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 28050 ab:aa=1,aaaba=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 28051 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:8,pairs:2,completionMax:8us [11m12s] 28051 ab:aa=1,aaaba=aaab infinite ab - - ab:aa=1,ba=b [11m12s] from: 28051 ab:aa=1,aaaba=aaab infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 28052 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:23,nodes:6,pairs:2,completionMax:5us [11m12s] 28052 ab:aa=1,aaaba=aaba infinite ab - - ab:aa=1,ab=b [11m12s] from: 28052 ab:aa=1,aaaba=aaba infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 28053 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:137,nodes:16,pairs:8,completionMax:25us [11m12s] 28053 ab:aa=1,aaaba=aabb finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28053 ab:aa=1,aaaba=aabb finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28054 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:25,nodes:8,pairs:2,completionMax:7us [11m12s] 28054 ab:aa=1,aaaba=abaa infinite ab - - ab:aa=1,ba=b [11m12s] from: 28054 ab:aa=1,aaaba=abaa infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 28055 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:97,nodes:12,pairs:5,completionMax:14us [11m12s] 28055 ab:aa=1,aaaba=abab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28055 ab:aa=1,aaaba=abab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28056 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:0,work:67,nodes:12,pairs:4,completionMax:12us [11m12s] 28056 ab:aa=1,aaaba=abba infinite ab - - ab:aa=1,bb=b [11m12s] from: 28056 ab:aa=1,aaaba=abba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28057 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:102,nodes:20,pairs:6,completionMax:18us [11m12s] 28057 ab:aa=1,aaaba=abbb finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28057 ab:aa=1,aaaba=abbb finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28058 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:24,nodes:6,pairs:2,completionMax:5us [11m12s] 28058 ab:aa=1,aaaba=baaa infinite ab - - ab:aa=1,ab=b [11m12s] from: 28058 ab:aa=1,aaaba=baaa infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 28059 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:138,nodes:16,pairs:8,completionMax:19us [11m12s] 28059 ab:aa=1,aaaba=baab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28059 ab:aa=1,aaaba=baab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28060 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:92,nodes:12,pairs:5,completionMax:15us [11m12s] 28060 ab:aa=1,aaaba=baba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28060 ab:aa=1,aaaba=baba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28061 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1936,nodes:32,pairs:30,completionMax:154us [11m12s] 28061 ab:aa=1,aaaba=babb finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 28061 ab:aa=1,aaaba=babb finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 28062 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:139,nodes:16,pairs:8,completionMax:25us [11m12s] 28062 ab:aa=1,aaaba=bbaa finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28062 ab:aa=1,aaaba=bbaa finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28063 solved: rounds:3,rules:6,peak:11,longest:6,steps:6,word:2,work:1934,nodes:32,pairs:30,completionMax:144us [11m12s] 28063 ab:aa=1,aaaba=bbab finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 28063 ab:aa=1,aaaba=bbab finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 28064 solved: rounds:2,rules:3,peak:4,longest:6,steps:2,word:1,work:105,nodes:16,pairs:6,completionMax:24us [11m12s] 28064 ab:aa=1,aaaba=bbba finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28064 ab:aa=1,aaaba=bbba finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28065 solved: rounds:2,rules:3,peak:4,longest:17,steps:19,word:12,work:716,nodes:64,pairs:7,completionMax:60us [11m12s] 28065 ab:aa=1,aaaba=bbbb finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 28065 ab:aa=1,aaaba=bbbb finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 28066 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:18,nodes:8,pairs:4,completionMax:10us [11m12s] 28066 ab:aa=1,aaabb=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28066 ab:aa=1,aaabb=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28067 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:7us [11m12s] 28067 ab:aa=1,aaabb=aaab infinite ab - - ab:aa=1,bb=b [11m12s] from: 28067 ab:aa=1,aaabb=aaab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28068 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:44,nodes:10,pairs:1,completionMax:7us [11m12s] 28068 ab:aa=1,aaabb=aaba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28068 ab:aa=1,aaabb=aaba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28069 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:6,pairs:0,completionMax:1us [11m12s] 28069 ab:aa=1,aaabb=aabb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28069 ab:aa=1,aaabb=aabb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28070 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:4us [11m12s] 28070 ab:aa=1,aaabb=abaa infinite ab - - ab:aa=1,bb=b [11m12s] from: 28070 ab:aa=1,aaabb=abaa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28071 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:36,nodes:12,pairs:2,completionMax:10us [11m12s] 28071 ab:aa=1,aaabb=abab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28071 ab:aa=1,aaabb=abab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28072 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:29,nodes:12,pairs:2,completionMax:7us [11m12s] 28072 ab:aa=1,aaabb=abba infinite ab - - ab:aa=1,bba=bb [11m12s] from: 28072 ab:aa=1,aaabb=abba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 28073 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:46,nodes:12,pairs:1,completionMax:10us [11m12s] 28073 ab:aa=1,aaabb=abbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28073 ab:aa=1,aaabb=abbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28074 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:45,nodes:10,pairs:1,completionMax:7us [11m12s] 28074 ab:aa=1,aaabb=baaa finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28074 ab:aa=1,aaabb=baaa finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28075 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:6,pairs:0,completionMax:2us [11m12s] 28075 ab:aa=1,aaabb=baab infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28075 ab:aa=1,aaabb=baab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28076 solved: rounds:2,rules:3,peak:4,longest:5,steps:6,word:2,work:160,nodes:10,pairs:3,completionMax:22us [11m12s] 28076 ab:aa=1,aaabb=baba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28076 ab:aa=1,aaabb=baba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28077 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:84,nodes:12,pairs:1,completionMax:8us [11m12s] 28077 ab:aa=1,aaabb=babb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 28077 ab:aa=1,aaabb=babb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 28078 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m12s] 28078 ab:aa=1,aaabb=bbaa infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28078 ab:aa=1,aaabb=bbaa infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28079 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:380,nodes:26,pairs:4,completionMax:22us [11m12s] 28079 ab:aa=1,aaabb=bbab infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 28079 ab:aa=1,aaabb=bbab infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 28080 solved: rounds:4,rules:4,peak:6,longest:9,steps:7,word:5,work:1302,nodes:40,pairs:13,completionMax:77us [11m12s] 28080 ab:aa=1,aaabb=bbba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28080 ab:aa=1,aaabb=bbba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28081 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:47,nodes:16,pairs:1,completionMax:11us [11m12s] 28081 ab:aa=1,aaabb=bbbb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 28081 ab:aa=1,aaabb=bbbb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 28082 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:1us [11m12s] 28082 ab:aa=1,aabaa=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 ab - - ab:b=1,aa=1 [11m12s] from: 28082 ab:aa=1,aabaa=aaaa finite:2;center:1,a;commutative:ab:b=1,a2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-1 to: 1 ab:aa=1,ab=1 finite:2;center:1,a;commutative:ab:a=b,b2=1;saturation:a:a2=1;cancellative;smith:2;group:a-a,b-a a=b,b=1 [11m12s] # 28083 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:0,completionMax:2us [11m12s] 28083 ab:aa=1,aabaa=aaab infinite ab - - ab:aa=1,ab=b [11m12s] from: 28083 ab:aa=1,aabaa=aaab infinite to: 322 ab:aa=1,aaab=b infinite a=a,b=b [11m12s] # 28084 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:6,pairs:0,completionMax:1us [11m12s] 28084 ab:aa=1,aabaa=aaba infinite ab - - ab:aa=1,ba=b [11m12s] from: 28084 ab:aa=1,aabaa=aaba infinite to: 322 ab:aa=1,aaab=b infinite anti:a=a,b=b [11m12s] # 28085 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:6,pairs:0,completionMax:2us [11m12s] 28085 ab:aa=1,aabaa=aabb infinite ab - - ab:aa=1,bb=b [11m12s] from: 28085 ab:aa=1,aabaa=aabb infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28086 solved: rounds:2,rules:3,peak:4,longest:4,steps:2,word:0,work:79,nodes:12,pairs:6,completionMax:22us [11m12s] 28086 ab:aa=1,aabaa=abab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28086 ab:aa=1,aabaa=abab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28087 solved: rounds:2,rules:3,peak:4,longest:5,steps:5,word:2,work:124,nodes:16,pairs:7,completionMax:23us [11m12s] 28087 ab:aa=1,aabaa=abba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28087 ab:aa=1,aabaa=abba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28088 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:1,work:29,nodes:12,pairs:3,completionMax:10us [11m12s] 28088 ab:aa=1,aabaa=abbb finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28088 ab:aa=1,aabaa=abbb finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28089 solved: rounds:0,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:6,pairs:0,completionMax:2us [11m12s] 28089 ab:aa=1,aabaa=baab infinite ab - - ab:aa=1,bb=b [11m12s] from: 28089 ab:aa=1,aabaa=baab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28090 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 28090 ab:aa=1,aabaa=babb infinite ab - - ab:aa=1,babb=b [11m12s] from: 28090 ab:aa=1,aabaa=babb infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 28091 solved: rounds:0,rules:2,peak:2,longest:4,steps:2,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 28091 ab:aa=1,aabaa=bbbb infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 28091 ab:aa=1,aabaa=bbbb infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 28092 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:33,nodes:10,pairs:3,completionMax:15us [11m12s] 28092 ab:aa=1,aabab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28092 ab:aa=1,aabab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28093 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:5us [11m12s] 28093 ab:aa=1,aabab=aaab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28093 ab:aa=1,aabab=aaab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28094 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:28,nodes:8,pairs:1,completionMax:3us [11m12s] 28094 ab:aa=1,aabab=aaba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28094 ab:aa=1,aabab=aaba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28095 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:8,pairs:0,completionMax:3us [11m12s] 28095 ab:aa=1,aabab=aabb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28095 ab:aa=1,aabab=aabb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28096 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:31,nodes:8,pairs:1,completionMax:6us [11m12s] 28096 ab:aa=1,aabab=abaa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28096 ab:aa=1,aabab=abaa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28097 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:58,nodes:12,pairs:5,completionMax:13us [11m12s] 28097 ab:aa=1,aabab=abab infinite ac/b ab=c frequency:2/0 abc:aa=1,acc=cc,b=ac [11m12s] from: 28097 ab:aa=1,aabab=abab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=ab,c=b [11m12s] # 28098 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:1,work:145,nodes:10,pairs:3,completionMax:17us [11m12s] 28098 ab:aa=1,aabab=abba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28098 ab:aa=1,aabab=abba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28099 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:194,nodes:18,pairs:1,completionMax:16us [11m12s] 28099 ab:aa=1,aabab=abbb finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 28099 ab:aa=1,aabab=abbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 28100 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:6us [11m12s] 28100 ab:aa=1,aabab=baaa finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28100 ab:aa=1,aabab=baaa finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28101 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 28101 ab:aa=1,aabab=baab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28101 ab:aa=1,aabab=baab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28102 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:59,nodes:15,pairs:5,completionMax:14us [11m12s] 28102 ab:aa=1,aabab=baba infinite ac/b ba=c frequency:2/0 abc:aa=1,cca=cc,b=ca [11m12s] from: 28102 ab:aa=1,aabab=baba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=ba,c=b [11m12s] # 28103 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 28103 ab:aa=1,aabab=babb infinite ab - - ab:aa=1,babb=bab [11m12s] from: 28103 ab:aa=1,aabab=babb infinite to: 3671 ab:aa=1,babb=bab infinite a=a,b=b [11m12s] # 28104 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m12s] 28104 ab:aa=1,aabab=bbaa infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28104 ab:aa=1,aabab=bbaa infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28105 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:1us [11m12s] 28105 ab:aa=1,aabab=bbab infinite ab - - ab:aa=1,bbab=bab [11m12s] from: 28105 ab:aa=1,aabab=bbab infinite to: 3671 ab:aa=1,babb=bab infinite anti:a=a,b=b [11m12s] # 28106 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:197,nodes:18,pairs:1,completionMax:11us [11m12s] 28106 ab:aa=1,aabab=bbba finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 28106 ab:aa=1,aabab=bbba finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 28107 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:11,nodes:8,pairs:0,completionMax:3us [11m12s] 28107 ab:aa=1,aabab=bbbb infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 28107 ab:aa=1,aabab=bbbb infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 28108 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:14,nodes:8,pairs:3,completionMax:10us [11m12s] 28108 ab:aa=1,aabba=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28108 ab:aa=1,aabba=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28109 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:82,nodes:12,pairs:4,completionMax:17us [11m12s] 28109 ab:aa=1,aabba=aaab finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28109 ab:aa=1,aabba=aaab finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28110 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:15,nodes:8,pairs:1,completionMax:5us [11m12s] 28110 ab:aa=1,aabba=aaba infinite ab - - ab:aa=1,bb=b [11m12s] from: 28110 ab:aa=1,aabba=aaba infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28111 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 28111 ab:aa=1,aabba=aabb infinite ab - - ab:aa=1,bba=bb [11m12s] from: 28111 ab:aa=1,aabba=aabb infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 28112 solved: rounds:2,rules:3,peak:5,longest:4,steps:3,word:1,work:84,nodes:12,pairs:4,completionMax:15us [11m12s] 28112 ab:aa=1,aabba=abaa finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28112 ab:aa=1,aabba=abaa finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28113 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:1,work:246,nodes:12,pairs:12,completionMax:43us [11m12s] 28113 ab:aa=1,aabba=abab infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28113 ab:aa=1,aabba=abab infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28114 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:30,nodes:8,pairs:2,completionMax:8us [11m12s] 28114 ab:aa=1,aabba=abba infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28114 ab:aa=1,aabba=abba infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28115 solved: rounds:3,rules:4,peak:7,longest:9,steps:6,word:4,work:1457,nodes:44,pairs:12,completionMax:124us [11m12s] 28115 ab:aa=1,aabba=abbb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28115 ab:aa=1,aabba=abbb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28116 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:16,nodes:8,pairs:1,completionMax:6us [11m12s] 28116 ab:aa=1,aabba=baaa infinite ab - - ab:aa=1,bb=b [11m12s] from: 28116 ab:aa=1,aabba=baaa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28117 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:8,nodes:8,pairs:0,completionMax:2us [11m12s] 28117 ab:aa=1,aabba=baab infinite ab - - ab:aa=1,bba=bb [11m12s] from: 28117 ab:aa=1,aabba=baab infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 28118 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:35,nodes:10,pairs:2,completionMax:7us [11m12s] 28118 ab:aa=1,aabba=baba infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28118 ab:aa=1,aabba=baba infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28119 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:383,nodes:26,pairs:4,completionMax:22us [11m12s] 28119 ab:aa=1,aabba=babb infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 28119 ab:aa=1,aabba=babb infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 28120 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:8,pairs:0,completionMax:2us [11m12s] 28120 ab:aa=1,aabba=bbaa infinite ab - - ab:aa=1,bba=bb [11m12s] from: 28120 ab:aa=1,aabba=bbaa infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 28121 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:76,nodes:10,pairs:1,completionMax:12us [11m12s] 28121 ab:aa=1,aabba=bbab infinite ab - - ab:aa=1,bbb=bb,bbab=bba [11m12s] from: 28121 ab:aa=1,aabba=bbab infinite to: 3512 ab:aa=1,ababb=bb infinite anti:a=a,b=b [11m12s] # 28122 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:42,nodes:10,pairs:1,completionMax:11us [11m12s] 28122 ab:aa=1,aabba=bbba infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28122 ab:aa=1,aabba=bbba infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28123 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:50,nodes:14,pairs:1,completionMax:9us [11m12s] 28123 ab:aa=1,aabba=bbbb infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 28123 ab:aa=1,aabba=bbbb infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 28124 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m12s] 28124 ab:aa=1,aabbb=aaaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 28124 ab:aa=1,aabbb=aaaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 28125 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:23,nodes:12,pairs:1,completionMax:6us [11m12s] 28125 ab:aa=1,aabbb=aaab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28125 ab:aa=1,aabbb=aaab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28126 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:25,nodes:12,pairs:1,completionMax:6us [11m12s] 28126 ab:aa=1,aabbb=aaba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28126 ab:aa=1,aabbb=aaba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28127 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:22,nodes:8,pairs:0,completionMax:3us [11m12s] 28127 ab:aa=1,aabbb=aabb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28127 ab:aa=1,aabbb=aabb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28128 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:25,nodes:12,pairs:1,completionMax:8us [11m12s] 28128 ab:aa=1,aabbb=abaa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28128 ab:aa=1,aabbb=abaa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28129 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:448,nodes:30,pairs:6,completionMax:30us [11m12s] 28129 ab:aa=1,aabbb=abab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 28129 ab:aa=1,aabbb=abab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 28130 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:569,nodes:22,pairs:6,completionMax:39us [11m12s] 28130 ab:aa=1,aabbb=abba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28130 ab:aa=1,aabbb=abba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28131 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:8,pairs:0,completionMax:2us [11m12s] 28131 ab:aa=1,aabbb=abbb infinite ab - - ab:aa=1,abbb=bbb [11m12s] from: 28131 ab:aa=1,aabbb=abbb infinite to: 3659 ab:aa=1,abbb=bbb infinite a=a,b=b [11m12s] # 28132 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:1,completionMax:6us [11m12s] 28132 ab:aa=1,aabbb=baaa finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28132 ab:aa=1,aabbb=baaa finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28133 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 28133 ab:aa=1,aabbb=baab infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28133 ab:aa=1,aabbb=baab infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28134 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:451,nodes:30,pairs:6,completionMax:28us [11m12s] 28134 ab:aa=1,aabbb=baba finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 28134 ab:aa=1,aabbb=baba finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 28135 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:3us [11m12s] 28135 ab:aa=1,aabbb=babb infinite ab - - ab:aa=1,babb=bbb [11m12s] from: 28135 ab:aa=1,aabbb=babb infinite to: 3673 ab:aa=1,babb=bbb infinite a=a,b=b [11m12s] # 28136 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:4us [11m12s] 28136 ab:aa=1,aabbb=bbaa infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28136 ab:aa=1,aabbb=bbaa infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28137 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:12,nodes:10,pairs:0,completionMax:2us [11m12s] 28137 ab:aa=1,aabbb=bbab infinite ab - - ab:aa=1,bbab=bbb [11m12s] from: 28137 ab:aa=1,aabbb=bbab infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=b [11m12s] # 28138 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:6,nodes:10,pairs:0,completionMax:2us [11m12s] 28138 ab:aa=1,aabbb=bbba infinite ab - - ab:aa=1,bbba=bbb [11m12s] from: 28138 ab:aa=1,aabbb=bbba infinite to: 3659 ab:aa=1,abbb=bbb infinite anti:a=a,b=b [11m12s] # 28139 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:50,nodes:10,pairs:0,completionMax:4us [11m12s] 28139 ab:aa=1,aabbb=bbbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 28139 ab:aa=1,aabbb=bbbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 28140 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:1,work:20,nodes:8,pairs:4,completionMax:10us [11m12s] 28140 ab:aa=1,abaab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28140 ab:aa=1,abaab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28141 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:18,nodes:8,pairs:1,completionMax:5us [11m12s] 28141 ab:aa=1,abaab=aaab infinite ab - - ab:aa=1,bb=b [11m12s] from: 28141 ab:aa=1,abaab=aaab infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28142 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:46,nodes:10,pairs:1,completionMax:5us [11m12s] 28142 ab:aa=1,abaab=aaba finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28142 ab:aa=1,abaab=aaba finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28143 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:9,nodes:6,pairs:0,completionMax:2us [11m12s] 28143 ab:aa=1,abaab=aabb infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28143 ab:aa=1,abaab=aabb infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28144 solved: rounds:1,rules:2,peak:3,longest:3,steps:1,word:0,work:20,nodes:8,pairs:1,completionMax:5us [11m12s] 28144 ab:aa=1,abaab=abaa infinite ab - - ab:aa=1,bb=b [11m12s] from: 28144 ab:aa=1,abaab=abaa infinite to: 326 ab:aa=1,aabb=b infinite a=a,b=b [11m12s] # 28145 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:38,nodes:12,pairs:2,completionMax:10us [11m12s] 28145 ab:aa=1,abaab=abab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28145 ab:aa=1,abaab=abab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28146 solved: rounds:1,rules:2,peak:3,longest:4,steps:1,word:0,work:31,nodes:12,pairs:2,completionMax:8us [11m12s] 28146 ab:aa=1,abaab=abba infinite ab - - ab:aa=1,bba=bb [11m12s] from: 28146 ab:aa=1,abaab=abba infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=b [11m12s] # 28147 solved: rounds:1,rules:2,peak:3,longest:4,steps:2,word:0,work:48,nodes:12,pairs:1,completionMax:9us [11m12s] 28147 ab:aa=1,abaab=abbb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28147 ab:aa=1,abaab=abbb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28148 solved: rounds:1,rules:3,peak:3,longest:4,steps:5,word:2,work:47,nodes:10,pairs:1,completionMax:6us [11m12s] 28148 ab:aa=1,abaab=baaa finite:8;idempotents:1,bbb;center:1,bbb b/a - - ab:bbbb=b,ba=abb,aa=1 [11m12s] from: 28148 ab:aa=1,abaab=baaa finite:8;idempotents:1,bbb;center:1,bbb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=b [11m12s] # 28149 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:10,nodes:6,pairs:0,completionMax:1us [11m12s] 28149 ab:aa=1,abaab=baab infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28149 ab:aa=1,abaab=baab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28150 solved: rounds:2,rules:3,peak:4,longest:5,steps:6,word:2,work:162,nodes:10,pairs:3,completionMax:14us [11m12s] 28150 ab:aa=1,abaab=baba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28150 ab:aa=1,abaab=baba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28151 solved: rounds:1,rules:3,peak:3,longest:4,steps:3,word:0,work:86,nodes:12,pairs:1,completionMax:6us [11m12s] 28151 ab:aa=1,abaab=babb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 28151 ab:aa=1,abaab=babb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 28152 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:11,nodes:6,pairs:0,completionMax:2us [11m12s] 28152 ab:aa=1,abaab=bbaa infinite ab - - ab:aa=1,abb=bb [11m12s] from: 28152 ab:aa=1,abaab=bbaa infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=b [11m12s] # 28153 solved: rounds:2,rules:4,peak:5,longest:6,steps:4,word:1,work:382,nodes:26,pairs:4,completionMax:22us [11m12s] 28153 ab:aa=1,abaab=bbab infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 28153 ab:aa=1,abaab=bbab infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 28154 solved: rounds:4,rules:4,peak:6,longest:9,steps:7,word:5,work:1304,nodes:40,pairs:13,completionMax:71us [11m12s] 28154 ab:aa=1,abaab=bbba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28154 ab:aa=1,abaab=bbba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28155 solved: rounds:1,rules:3,peak:3,longest:6,steps:1,word:1,work:49,nodes:16,pairs:1,completionMax:10us [11m12s] 28155 ab:aa=1,abaab=bbbb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 28155 ab:aa=1,abaab=bbbb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 28156 solved: rounds:2,rules:2,peak:5,longest:6,steps:8,word:2,work:263,nodes:20,pairs:13,completionMax:33us [11m12s] 28156 ab:aa=1,ababa=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28156 ab:aa=1,ababa=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28157 solved: rounds:2,rules:3,peak:6,longest:5,steps:3,word:0,work:444,nodes:18,pairs:14,completionMax:57us [11m12s] 28157 ab:aa=1,ababa=aaab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28157 ab:aa=1,ababa=aaab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28158 solved: rounds:2,rules:3,peak:6,longest:5,steps:2,word:0,work:323,nodes:18,pairs:20,completionMax:34us [11m12s] 28158 ab:aa=1,ababa=aaba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28158 ab:aa=1,ababa=aaba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28159 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:131,nodes:10,pairs:4,completionMax:13us [11m12s] 28159 ab:aa=1,ababa=aabb infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28159 ab:aa=1,ababa=aabb infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28160 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:165,nodes:18,pairs:7,completionMax:17us [11m12s] 28160 ab:aa=1,ababa=abab infinite ac/b ba=c frequency:2/0 abc:aa=1,cca=cc,b=ca [11m12s] from: 28160 ab:aa=1,ababa=abab infinite to: 368 ab:aa=1,abb=bb infinite anti:a=a,b=ba,c=b [11m12s] # 28161 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:205,nodes:16,pairs:13,completionMax:33us [11m12s] 28161 ab:aa=1,ababa=abba infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28161 ab:aa=1,ababa=abba infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28162 solved: rounds:2,rules:3,peak:7,longest:8,steps:11,word:4,work:1746,nodes:42,pairs:16,completionMax:92us [11m12s] 28162 ab:aa=1,ababa=abbb finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 28162 ab:aa=1,ababa=abbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 28163 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:1,work:132,nodes:10,pairs:4,completionMax:14us [11m12s] 28163 ab:aa=1,ababa=baab infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28163 ab:aa=1,ababa=baab infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28164 solved: rounds:3,rules:4,peak:14,longest:6,steps:6,word:0,work:7999,nodes:38,pairs:98,completionMax:391us [11m12s] 28164 ab:aa=1,ababa=babb infinite ab - - ab:aa=1,baba=abab,babb=bab,bbab=bab [11m12s] from: 28164 ab:aa=1,ababa=babb infinite to: 27647 ab:aa=1,ababba=bab infinite a=a,b=b [11m12s] # 28165 solved: rounds:7,rules:12,peak:17,longest:48,steps:27,word:33,work:102835,nodes:626,pairs:62,completionMax:3427us [11m12s] 28165 ab:aa=1,ababa=bbbb finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbb,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbab,bbbbba=abbbbb,aa=1,abab=bbbba,abbbba=bab,baba=abbbb,babba=abbbabbbb,babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babbba,bbbbabbba=abbab,abbbabbba=babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] from: 28165 ab:aa=1,ababa=bbbb finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 27686 ab:aa=1,abbbba=bab finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 28166 solved: rounds:4,rules:3,peak:6,longest:5,steps:4,word:0,work:272,nodes:18,pairs:10,completionMax:52us [11m12s] 28166 ab:aa=1,ababb=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 28166 ab:aa=1,ababb=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 28167 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:6us [11m12s] 28167 ab:aa=1,ababb=aaab infinite ab - - ab:aa=1,babb=b [11m12s] from: 28167 ab:aa=1,ababb=aaab infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 28168 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1955,nodes:32,pairs:32,completionMax:109us [11m12s] 28168 ab:aa=1,ababb=aaba finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 28168 ab:aa=1,ababb=aaba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 28169 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:101,nodes:16,pairs:3,completionMax:10us [11m12s] 28169 ab:aa=1,ababb=aabb infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 28169 ab:aa=1,ababb=aabb infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 28170 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:4us [11m12s] 28170 ab:aa=1,ababb=abaa infinite ab - - ab:aa=1,babb=b [11m12s] from: 28170 ab:aa=1,ababb=abaa infinite to: 336 ab:aa=1,babb=b infinite a=a,b=b [11m12s] # 28171 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:5us [11m12s] 28171 ab:aa=1,ababb=abab infinite ab - - ab:aa=1,babb=bab [11m12s] from: 28171 ab:aa=1,ababb=abab infinite to: 3671 ab:aa=1,babb=bab infinite a=a,b=b [11m12s] # 28172 solved: rounds:3,rules:4,peak:5,longest:6,steps:4,word:1,work:398,nodes:26,pairs:6,completionMax:24us [11m12s] 28172 ab:aa=1,ababb=abba infinite reversed:b/a - - ab:bbbbbb=bbb,bbab=bbbba,babb=bba,aa=1 [11m12s] from: 28172 ab:aa=1,ababb=abba infinite to: 3516 ab:aa=1,abbab=bb infinite anti:a=a,b=b [11m12s] # 28173 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:8us [11m12s] 28173 ab:aa=1,ababb=abbb infinite ab - - ab:aa=1,babb=bbb [11m12s] from: 28173 ab:aa=1,ababb=abbb infinite to: 3673 ab:aa=1,babb=bbb infinite a=a,b=b [11m12s] # 28174 solved: rounds:4,rules:6,peak:11,longest:6,steps:6,word:2,work:1953,nodes:32,pairs:32,completionMax:159us [11m12s] 28174 ab:aa=1,ababb=baaa finite:22;idempotents:1,bbbb;center:1,bbbb reversed:a/b - - ab:aa=1,babb=aba,bbba=ababab,bbaba=abbab,bababa=abbb,bbbbb=b [11m12s] from: 28174 ab:aa=1,ababb=baaa finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb a=a,b=b [11m12s] # 28175 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:102,nodes:16,pairs:3,completionMax:14us [11m12s] 28175 ab:aa=1,ababb=baab infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 28175 ab:aa=1,ababb=baab infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 28176 solved: rounds:4,rules:4,peak:13,longest:6,steps:7,word:0,work:7296,nodes:36,pairs:115,completionMax:401us [11m12s] 28176 ab:aa=1,ababb=baba infinite ab - - ab:aa=1,baba=abab,babb=bab,bbab=bab [11m12s] from: 28176 ab:aa=1,ababb=baba infinite to: 27647 ab:aa=1,ababba=bab infinite a=a,b=b [11m12s] # 28177 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:0,completionMax:2us [11m12s] 28177 ab:aa=1,ababb=babb infinite ab - - ab:aa=1,ababb=babb [11m12s] # 28178 solved: rounds:2,rules:3,peak:3,longest:5,steps:2,word:0,work:103,nodes:16,pairs:3,completionMax:12us [11m12s] 28178 ab:aa=1,ababb=bbaa infinite ab - - ab:aa=1,bbb=bb,babb=abb [11m12s] from: 28178 ab:aa=1,ababb=bbaa infinite to: 3512 ab:aa=1,ababb=bb infinite a=a,b=b [11m12s] # 28179 solved: rounds:2,rules:3,peak:4,longest:9,steps:12,word:2,work:1145,nodes:24,pairs:3,completionMax:42us [11m12s] 28179 ab:aa=1,ababb=bbab infinite reversed:a/b - - ab:aa=1,bbab=ababb,babababb=abababbb [11m12s] # 28180 solved: rounds:4,rules:5,peak:9,longest:11,steps:11,word:3,work:6732,nodes:46,pairs:18,completionMax:258us [11m12s] 28180 ab:aa=1,ababb=bbba infinite reversed:a/b - - ab:aa=1,bbba=ababb,babba=abbb,bbababb=abababbb,babababb=abbabbb [11m12s] from: 28180 ab:aa=1,ababb=bbba infinite to: 27649 ab:aa=1,ababba=bbb infinite a=a,b=b [11m12s] # 28181 solved: rounds:2,rules:3,peak:3,longest:10,steps:14,word:4,work:593,nodes:26,pairs:3,completionMax:26us [11m12s] 28181 ab:aa=1,ababb=bbbb infinite b/a - - ab:bbbbbbbbbb=bbbbbbb,babb=abbbb,aa=1 [11m12s] # 28182 solved: rounds:2,rules:3,peak:5,longest:5,steps:4,word:0,work:142,nodes:14,pairs:7,completionMax:27us [11m12s] 28182 ab:aa=1,abbab=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 28182 ab:aa=1,abbab=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 28183 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:40,nodes:16,pairs:1,completionMax:6us [11m12s] 28183 ab:aa=1,abbab=aaab infinite ab - - ab:aa=1,bbab=b [11m12s] from: 28183 ab:aa=1,abbab=aaab infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 28184 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:898,nodes:24,pairs:14,completionMax:78us [11m12s] 28184 ab:aa=1,abbab=aaba finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 28184 ab:aa=1,abbab=aaba finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 28185 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:354,nodes:20,pairs:7,completionMax:35us [11m12s] 28185 ab:aa=1,abbab=aabb infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 28185 ab:aa=1,abbab=aabb infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 28186 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:42,nodes:16,pairs:1,completionMax:7us [11m12s] 28186 ab:aa=1,abbab=abaa infinite ab - - ab:aa=1,bbab=b [11m12s] from: 28186 ab:aa=1,abbab=abaa infinite to: 336 ab:aa=1,babb=b infinite anti:a=a,b=b [11m12s] # 28187 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:46,nodes:16,pairs:1,completionMax:10us [11m12s] 28187 ab:aa=1,abbab=abab infinite ab - - ab:aa=1,bbab=bab [11m12s] from: 28187 ab:aa=1,abbab=abab infinite to: 3671 ab:aa=1,babb=bab infinite anti:a=a,b=b [11m12s] # 28188 solved: rounds:2,rules:3,peak:4,longest:5,steps:3,word:0,work:244,nodes:16,pairs:5,completionMax:23us [11m12s] 28188 ab:aa=1,abbab=abba infinite ab - - ab:aa=1,bbb=bb,bbab=bba [11m12s] from: 28188 ab:aa=1,abbab=abba infinite to: 3512 ab:aa=1,ababb=bb infinite anti:a=a,b=b [11m12s] # 28189 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:46,nodes:16,pairs:2,completionMax:29us [11m12s] 28189 ab:aa=1,abbab=abbb infinite ab - - ab:aa=1,bbab=bbb [11m12s] from: 28189 ab:aa=1,abbab=abbb infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=b [11m12s] # 28190 solved: rounds:3,rules:6,peak:6,longest:6,steps:6,word:2,work:899,nodes:24,pairs:14,completionMax:79us [11m12s] 28190 ab:aa=1,abbab=baaa finite:22;idempotents:1,bbbb;center:1,bbbb a/b - - ab:aa=1,bbab=aba,abbb=bababa,ababb=babba,ababab=bbba,bbbbb=b [11m12s] from: 28190 ab:aa=1,abbab=baaa finite:22;idempotents:1,bbbb;center:1,bbbb to: 3375 ab:aa=1,ababba=b finite:22;idempotents:1,bbbb;center:1,bbbb anti:a=a,b=b [11m12s] # 28191 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:355,nodes:20,pairs:7,completionMax:37us [11m12s] 28191 ab:aa=1,abbab=baab infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 28191 ab:aa=1,abbab=baab infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 28192 solved: rounds:3,rules:4,peak:15,longest:9,steps:10,word:0,work:12494,nodes:74,pairs:215,completionMax:571us [11m12s] 28192 ab:aa=1,abbab=baba infinite ab - - ab:aa=1,baba=abab,babb=bab,bbab=bab [11m12s] from: 28192 ab:aa=1,abbab=baba infinite to: 27647 ab:aa=1,ababba=bab infinite a=a,b=b [11m12s] # 28193 solved: rounds:1,rules:3,peak:4,longest:8,steps:9,word:2,work:972,nodes:24,pairs:2,completionMax:35us [11m12s] 28193 ab:aa=1,abbab=babb infinite reversed:a/b - - ab:aa=1,bbab=ababb,babababb=abababbb [11m12s] from: 28193 ab:aa=1,abbab=babb infinite to: 28179 ab:aa=1,ababb=bbab infinite a=a,b=b [11m12s] # 28194 solved: rounds:2,rules:4,peak:4,longest:6,steps:4,word:1,work:356,nodes:20,pairs:7,completionMax:28us [11m12s] 28194 ab:aa=1,abbab=bbaa infinite b/a - - ab:bbbbbb=bbb,babb=abbbb,bbab=abb,aa=1 [11m12s] from: 28194 ab:aa=1,abbab=bbaa infinite to: 3516 ab:aa=1,abbab=bb infinite a=a,b=b [11m12s] # 28195 solved: rounds:1,rules:3,peak:4,longest:5,steps:4,word:3,work:111,nodes:15,pairs:5,completionMax:16us [11m12s] 28195 ab:aa=1,abbab=bbab infinite ac/b ab=c frequency:2/0 abc:aa=1,acacc=cacc,b=ac [11m12s] from: 28195 ab:aa=1,abbab=bbab infinite to: 28177 ab:aa=1,ababb=babb infinite a=a,b=ab,c=b [11m12s] # 28196 solved: rounds:2,rules:5,peak:7,longest:8,steps:6,word:2,work:1919,nodes:30,pairs:11,completionMax:91us [11m12s] 28196 ab:aa=1,abbab=bbba infinite a/b - - ab:aa=1,abbb=bbaba,abbab=bbba,bbababb=bbbababa,bbababab=bbbabba [11m12s] from: 28196 ab:aa=1,abbab=bbba infinite to: 27649 ab:aa=1,ababba=bbb infinite anti:a=a,b=b [11m12s] # 28197 solved: rounds:4,rules:4,peak:6,longest:16,steps:13,word:8,work:4927,nodes:68,pairs:12,completionMax:193us [11m12s] 28197 ab:aa=1,abbab=bbbb infinite b/a - - ab:bbbbbbbbbbb=bbbbbb,babbbbbb=abbbbbbbbbb,bbab=abbbb,aa=1 [11m12s] # 28198 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:53,nodes:16,pairs:7,completionMax:25us [11m12s] 28198 ab:aa=1,abbba=aaaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 28198 ab:aa=1,abbba=aaaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 28199 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:210,nodes:22,pairs:14,completionMax:43us [11m12s] 28199 ab:aa=1,abbba=aaab finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28199 ab:aa=1,abbba=aaab finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28200 solved: rounds:3,rules:3,peak:5,longest:7,steps:2,word:1,work:199,nodes:20,pairs:12,completionMax:40us [11m12s] 28200 ab:aa=1,abbba=aaba finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28200 ab:aa=1,abbba=aaba finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28201 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:594,nodes:22,pairs:6,completionMax:50us [11m12s] 28201 ab:aa=1,abbba=aabb infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28201 ab:aa=1,abbba=aabb infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28202 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:6,work:550,nodes:22,pairs:6,completionMax:44us [11m12s] 28202 ab:aa=1,abbba=abab finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 28202 ab:aa=1,abbba=abab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 28203 solved: rounds:2,rules:2,peak:4,longest:5,steps:2,word:0,work:144,nodes:16,pairs:4,completionMax:29us [11m12s] 28203 ab:aa=1,abbba=abba infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28203 ab:aa=1,abbba=abba infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28204 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:35,nodes:16,pairs:2,completionMax:8us [11m12s] 28204 ab:aa=1,abbba=abbb infinite ab - - ab:aa=1,bbba=bbb [11m12s] from: 28204 ab:aa=1,abbba=abbb infinite to: 3659 ab:aa=1,abbb=bbb infinite anti:a=a,b=b [11m12s] # 28205 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:595,nodes:22,pairs:6,completionMax:34us [11m12s] 28205 ab:aa=1,abbba=baab infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28205 ab:aa=1,abbba=baab infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28206 solved: rounds:3,rules:5,peak:6,longest:8,steps:8,word:2,work:1997,nodes:26,pairs:10,completionMax:92us [11m12s] 28206 ab:aa=1,abbba=babb infinite reversed:a/b - - ab:aa=1,bbba=ababb,babba=abbb,bbababb=abababbb,babababb=abbabbb [11m12s] from: 28206 ab:aa=1,abbba=babb infinite to: 27649 ab:aa=1,ababba=bbb infinite a=a,b=b [11m12s] # 28207 solved: rounds:3,rules:4,peak:7,longest:10,steps:7,word:5,work:2299,nodes:44,pairs:12,completionMax:98us [11m12s] 28207 ab:aa=1,abbba=bbbb infinite b/a - - ab:bbbbbbbbbb=bbb,babbb=abbbbbbbbb,bbba=abbbb,aa=1 [11m12s] from: 28207 ab:aa=1,abbba=bbbb infinite to: 27687 ab:aa=1,abbbba=bbb infinite a=a,b=b [11m12s] # 28208 solved: rounds:2,rules:2,peak:3,longest:8,steps:2,word:3,work:26,nodes:16,pairs:4,completionMax:11us [11m12s] 28208 ab:aa=1,abbbb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 28208 ab:aa=1,abbbb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 28209 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:22,nodes:16,pairs:1,completionMax:8us [11m12s] 28209 ab:aa=1,abbbb=aaab infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 28209 ab:aa=1,abbbb=aaab infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 28210 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:283,nodes:34,pairs:1,completionMax:19us [11m12s] 28210 ab:aa=1,abbbb=aaba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 28210 ab:aa=1,abbbb=aaba finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 28211 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:53,nodes:16,pairs:3,completionMax:15us [11m12s] 28211 ab:aa=1,abbbb=aabb infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 28211 ab:aa=1,abbbb=aabb infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 28212 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:0,work:24,nodes:16,pairs:1,completionMax:9us [11m12s] 28212 ab:aa=1,abbbb=abaa infinite ab - - ab:aa=1,bbbb=b [11m12s] from: 28212 ab:aa=1,abbbb=abaa infinite to: 338 ab:aa=1,bbbb=b infinite a=a,b=b [11m12s] # 28213 solved: rounds:1,rules:2,peak:3,longest:5,steps:1,word:1,work:42,nodes:12,pairs:2,completionMax:9us [11m12s] 28213 ab:aa=1,abbbb=abab infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 28213 ab:aa=1,abbbb=abab infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 28214 solved: rounds:2,rules:3,peak:4,longest:7,steps:2,word:1,work:193,nodes:24,pairs:6,completionMax:28us [11m12s] 28214 ab:aa=1,abbbb=abba infinite b/a - - ab:bbbbbb=bb,bba=bbbb,aa=1 [11m12s] from: 28214 ab:aa=1,abbbb=abba infinite to: 3523 ab:aa=1,abbbb=bb infinite anti:a=a,b=b [11m12s] # 28215 solved: rounds:1,rules:2,peak:3,longest:5,steps:3,word:0,work:110,nodes:16,pairs:1,completionMax:9us [11m12s] 28215 ab:aa=1,abbbb=abbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 28215 ab:aa=1,abbbb=abbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 28216 solved: rounds:1,rules:3,peak:3,longest:16,steps:19,word:12,work:284,nodes:34,pairs:1,completionMax:26us [11m12s] 28216 ab:aa=1,abbbb=baaa finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbb=b,ba=abbbb,aa=1 [11m12s] from: 28216 ab:aa=1,abbbb=baaa finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb to: 3385 ab:aa=1,abbbba=b finite:32;idempotents:1,bbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb a=a,b=b [11m12s] # 28217 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:54,nodes:16,pairs:3,completionMax:14us [11m12s] 28217 ab:aa=1,abbbb=baab infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 28217 ab:aa=1,abbbb=baab infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 28218 solved: rounds:6,rules:12,peak:17,longest:48,steps:27,word:33,work:97743,nodes:538,pairs:56,completionMax:5184us [11m12s] 28218 ab:aa=1,abbbb=baba finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbbbbb,babbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babb,bbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=bbab,bbbbba=abbbbb,aa=1,abab=bbbba,abbbba=bab,baba=abbbb,babba=abbbabbbb,babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb=babbba,bbbbabbba=abbab,abbbabbba=babbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] from: 28218 ab:aa=1,abbbb=baba finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 27686 ab:aa=1,abbbba=bab finite:500;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # 28219 solved: rounds:1,rules:3,peak:3,longest:10,steps:14,word:4,work:556,nodes:26,pairs:1,completionMax:23us [11m12s] 28219 ab:aa=1,abbbb=babb infinite b/a - - ab:bbbbbbbbbb=bbbbbbb,babb=abbbb,aa=1 [11m12s] from: 28219 ab:aa=1,abbbb=babb infinite to: 28181 ab:aa=1,ababb=bbbb infinite a=a,b=b [11m12s] # 28220 solved: rounds:2,rules:3,peak:3,longest:6,steps:1,word:1,work:55,nodes:16,pairs:3,completionMax:16us [11m12s] 28220 ab:aa=1,abbbb=bbaa infinite b/a - - ab:bbbbbb=bb,abb=bbbb,aa=1 [11m12s] from: 28220 ab:aa=1,abbbb=bbaa infinite to: 3523 ab:aa=1,abbbb=bb infinite a=a,b=b [11m12s] # 28221 solved: rounds:3,rules:4,peak:8,longest:13,steps:9,word:6,work:7845,nodes:64,pairs:11,completionMax:283us [11m12s] 28221 ab:aa=1,abbbb=bbab infinite b/a - - ab:bbbbbbbbbbb=bbbbbb,babbbbbb=abbbbbbbbbb,bbab=abbbb,aa=1 [11m12s] from: 28221 ab:aa=1,abbbb=bbab infinite to: 28197 ab:aa=1,abbab=bbbb infinite a=a,b=b [11m12s] # 28222 solved: rounds:3,rules:4,peak:6,longest:13,steps:8,word:10,work:2173,nodes:46,pairs:11,completionMax:99us [11m12s] 28222 ab:aa=1,abbbb=bbba infinite b/a - - ab:bbbbbbbbbb=bbb,babbb=abbbbbbbbb,bbba=abbbb,aa=1 [11m12s] from: 28222 ab:aa=1,abbbb=bbba infinite to: 27687 ab:aa=1,abbbba=bbb infinite a=a,b=b [11m12s] # 28223 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:5,nodes:10,pairs:0,completionMax:3us [11m12s] 28223 ab:aa=1,abbbb=bbbb infinite ab - - ab:aa=1,abbbb=bbbb [11m12s] # 28224 solved: rounds:2,rules:2,peak:4,longest:4,steps:2,word:1,work:34,nodes:10,pairs:3,completionMax:13us [11m12s] 28224 ab:aa=1,baaab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb b/a - - ab:bbbb=1,a=bb [11m12s] from: 28224 ab:aa=1,baaab=aaaa finite:4;center:1,b,bb,bbb;commutative:ab:b4=1,a=b2;saturation:a:a4=1;cancellative;smith:4;group:a-bb,b-bbb to: 7 ab:aa=b,bb=1 finite:4;center:1,a,aa,aaa;commutative:ab:a4=1,b=a2;saturation:a:a4=1;cancellative;smith:4;group:a-aaa,b-aa a=aa,b=a [11m12s] # 28225 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:30,nodes:8,pairs:1,completionMax:4us [11m12s] 28225 ab:aa=1,baaab=aaab finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ab [11m12s] from: 28225 ab:aa=1,baaab=aaab finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba a=a,b=b [11m12s] # 28226 solved: rounds:1,rules:3,peak:3,longest:3,steps:2,word:0,work:29,nodes:8,pairs:1,completionMax:5us [11m12s] 28226 ab:aa=1,baaab=aaba finite:6;idempotents:1,b,aba ab - - ab:aa=1,bb=b,bab=ba [11m12s] from: 28226 ab:aa=1,baaab=aaba finite:6;idempotents:1,b,aba to: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba anti:a=a,b=b [11m12s] # 28227 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:12,nodes:8,pairs:0,completionMax:2us [11m12s] 28227 ab:aa=1,baaab=aabb infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28227 ab:aa=1,baaab=aabb infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28228 solved: rounds:1,rules:3,peak:4,longest:4,steps:2,word:1,work:59,nodes:12,pairs:5,completionMax:10us [11m12s] 28228 ab:aa=1,baaab=abab infinite ac/b ab=c frequency:2/0 abc:aa=1,acc=cc,b=ac [11m12s] from: 28228 ab:aa=1,baaab=abab infinite to: 368 ab:aa=1,abb=bb infinite a=a,b=ab,c=b [11m12s] # 28229 solved: rounds:1,rules:3,peak:4,longest:4,steps:4,word:1,work:146,nodes:10,pairs:3,completionMax:19us [11m12s] 28229 ab:aa=1,baaab=abba infinite a/b - - ab:aa=1,abb=baba,abab=bba [11m12s] from: 28229 ab:aa=1,baaab=abba infinite to: 3508 ab:aa=1,ababa=bb infinite a=a,b=b [11m12s] # 28230 solved: rounds:1,rules:3,peak:3,longest:7,steps:9,word:3,work:195,nodes:18,pairs:1,completionMax:15us [11m12s] 28230 ab:aa=1,baaab=abbb finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 28230 ab:aa=1,baaab=abbb finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 28231 solved: rounds:0,rules:2,peak:2,longest:3,steps:1,word:0,work:13,nodes:8,pairs:0,completionMax:2us [11m12s] 28231 ab:aa=1,baaab=baab infinite ab - - ab:aa=1,bab=bb [11m12s] from: 28231 ab:aa=1,baaab=baab infinite to: 371 ab:aa=1,bab=bb infinite a=a,b=b [11m12s] # 28232 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:3us [11m12s] 28232 ab:aa=1,baaab=babb infinite ab - - ab:aa=1,babb=bab [11m12s] from: 28232 ab:aa=1,baaab=babb infinite to: 3671 ab:aa=1,babb=bab infinite a=a,b=b [11m12s] # 28233 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:1,work:12,nodes:8,pairs:0,completionMax:3us [11m12s] 28233 ab:aa=1,baaab=bbbb infinite b/a - - ab:bab=bbbb,aa=1 [11m12s] from: 28233 ab:aa=1,baaab=bbbb infinite to: 3678 ab:aa=1,bbbb=bab infinite a=a,b=b [11m12s] # 28234 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 28234 ab:aa=1,baabb=aaaa infinite;group:a-a,b-bb ab - - ab:aa=1,bbb=1 [11m12s] from: 28234 ab:aa=1,baabb=aaaa infinite;group:a-a,b-bb to: 16 ab:aa=1,bbb=1 infinite;group:a-a,b-bb a=a,b=b [11m12s] # 28235 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:24,nodes:12,pairs:1,completionMax:6us [11m12s] 28235 ab:aa=1,baabb=aaab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28235 ab:aa=1,baabb=aaab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28236 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:1,completionMax:6us [11m12s] 28236 ab:aa=1,baabb=aaba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28236 ab:aa=1,baabb=aaba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28237 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:23,nodes:8,pairs:0,completionMax:2us [11m12s] 28237 ab:aa=1,baabb=aabb infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28237 ab:aa=1,baabb=aabb infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28238 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:26,nodes:12,pairs:1,completionMax:6us [11m12s] 28238 ab:aa=1,baabb=abaa finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28238 ab:aa=1,baabb=abaa finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28239 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:449,nodes:30,pairs:6,completionMax:45us [11m12s] 28239 ab:aa=1,baabb=abab finite:26;idempotents:1,bbbbbb,abbbbbba b/a - - ab:bbbbbbb=bbbb,bab=abbb,aa=1 [11m12s] from: 28239 ab:aa=1,baabb=abab finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=b [11m12s] # 28240 solved: rounds:2,rules:4,peak:5,longest:7,steps:6,word:4,work:570,nodes:22,pairs:6,completionMax:50us [11m12s] 28240 ab:aa=1,baabb=abba infinite b/a - - ab:bbbbbbb=bb,babb=abbbbbb,bba=abbb,aa=1 [11m12s] from: 28240 ab:aa=1,baabb=abba infinite to: 3519 ab:aa=1,abbba=bb infinite a=a,b=b [11m12s] # 28241 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:8,pairs:0,completionMax:2us [11m12s] 28241 ab:aa=1,baabb=abbb infinite ab - - ab:aa=1,abbb=bbb [11m12s] from: 28241 ab:aa=1,baabb=abbb infinite to: 3659 ab:aa=1,abbb=bbb infinite a=a,b=b [11m12s] # 28242 solved: rounds:1,rules:3,peak:3,longest:5,steps:1,word:1,work:27,nodes:12,pairs:1,completionMax:5us [11m12s] 28242 ab:aa=1,baabb=baaa finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28242 ab:aa=1,baabb=baaa finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28243 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:24,nodes:8,pairs:0,completionMax:2us [11m12s] 28243 ab:aa=1,baabb=baab infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28243 ab:aa=1,baabb=baab infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28244 solved: rounds:2,rules:3,peak:4,longest:8,steps:9,word:3,work:450,nodes:30,pairs:6,completionMax:29us [11m12s] 28244 ab:aa=1,baabb=baba finite:26;idempotents:1,bbbbbb,abbbbbba reversed:b/a - - ab:bbbbbbb=bbbb,bab=bbba,aa=1 [11m12s] from: 28244 ab:aa=1,baabb=baba finite:26;idempotents:1,bbbbbb,abbbbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba anti:a=a,b=b [11m12s] # 28245 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:2us [11m12s] 28245 ab:aa=1,baabb=babb infinite ab - - ab:aa=1,babb=bbb [11m12s] from: 28245 ab:aa=1,baabb=babb infinite to: 3673 ab:aa=1,babb=bbb infinite a=a,b=b [11m12s] # 28246 solved: rounds:0,rules:2,peak:2,longest:3,steps:2,word:0,work:25,nodes:8,pairs:0,completionMax:2us [11m12s] 28246 ab:aa=1,baabb=bbaa infinite ab - - ab:aa=1,bbb=bb [11m12s] from: 28246 ab:aa=1,baabb=bbaa infinite to: 374 ab:aa=1,bbb=bb infinite a=a,b=b [11m12s] # 28247 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:13,nodes:10,pairs:0,completionMax:1us [11m12s] 28247 ab:aa=1,baabb=bbab infinite ab - - ab:aa=1,bbab=bbb [11m12s] from: 28247 ab:aa=1,baabb=bbab infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=b [11m12s] # 28248 solved: rounds:0,rules:2,peak:2,longest:4,steps:1,word:0,work:7,nodes:10,pairs:0,completionMax:2us [11m12s] 28248 ab:aa=1,baabb=bbba infinite ab - - ab:aa=1,bbba=bbb [11m12s] from: 28248 ab:aa=1,baabb=bbba infinite to: 3659 ab:aa=1,abbb=bbb infinite anti:a=a,b=b [11m12s] # 28249 solved: rounds:0,rules:2,peak:2,longest:4,steps:3,word:0,work:51,nodes:10,pairs:0,completionMax:3us [11m12s] 28249 ab:aa=1,baabb=bbbb infinite ab - - ab:aa=1,bbbb=bbb [11m12s] from: 28249 ab:aa=1,baabb=bbbb infinite to: 3679 ab:aa=1,bbbb=bbb infinite a=a,b=b [11m12s] # 28250 solved: rounds:2,rules:3,peak:3,longest:5,steps:4,word:0,work:72,nodes:12,pairs:5,completionMax:13us [11m12s] 28250 ab:aa=1,babab=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb ab - - ab:aa=1,ba=ab,bbb=1 [11m12s] from: 28250 ab:aa=1,babab=aaaa finite:6;center:1,a,b,ab,bb,abb;commutative:ab:a2=1,b3=1;saturation:ab:b2=1,a3=1;cancellative;smith:6;group:a-a,b-bb to: 26 ab:aaa=1,abb=1 finite:6;center:1,b,bb,bbb,bbbb,bbbbb;commutative:ab:b6=1,a=b4;saturation:a:a6=1;cancellative;smith:6;group:a-bb,b-bbbbb a=bbb,b=bbbb [11m12s] # 28251 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:205,nodes:20,pairs:10,completionMax:35us [11m12s] 28251 ab:aa=1,babab=aaab finite:10;idempotents:1,bba,bbbb b/a - - ab:bbbbb=b,ab=bbb,aa=1 [11m12s] from: 28251 ab:aa=1,babab=aaab finite:10;idempotents:1,bba,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb a=a,b=b [11m12s] # 28252 solved: rounds:2,rules:3,peak:5,longest:5,steps:3,word:2,work:193,nodes:18,pairs:10,completionMax:23us [11m12s] 28252 ab:aa=1,babab=aaba finite:10;idempotents:1,abb,bbbb b/a - - ab:bbbbb=b,ba=bbb,aa=1 [11m12s] from: 28252 ab:aa=1,babab=aaba finite:10;idempotents:1,abb,bbbb to: 332 ab:aa=1,abbb=b finite:10;idempotents:1,bba,bbbb anti:a=a,b=b [11m12s] # 28253 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:82,nodes:16,pairs:1,completionMax:11us [11m12s] 28253 ab:aa=1,babab=aabb infinite ab - - ab:aa=1,bbab=babb,babab=bb [11m12s] from: 28253 ab:aa=1,babab=aabb infinite to: 3533 ab:aa=1,babab=bb infinite a=a,b=b [11m12s] # 28254 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:124,nodes:16,pairs:2,completionMax:12us [11m12s] 28254 ab:aa=1,babab=abab infinite ab - - ab:aa=1,bbab=bab,babab=abab [11m12s] from: 28254 ab:aa=1,babab=abab infinite to: 27639 ab:aa=1,ababab=bab infinite a=a,b=b [11m12s] # 28255 solved: rounds:6,rules:9,peak:13,longest:12,steps:15,word:5,work:13720,nodes:118,pairs:34,completionMax:422us [11m12s] 28255 ab:aa=1,babab=abba finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb b/a - - ab:bbbbbbbbbb=bbbb,babbbbbbbb=babb,bbabbbbbbb=bbab,bbba=abbb,aa=1,babab=abba,babbabbbbbb=babba,bbaba=babbabbbbb,bbabba=ababbbb [11m12s] from: 28255 ab:aa=1,babab=abba finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb to: 27113 ab:aa=1,abababa=bb finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb a=a,b=b [11m12s] # 28256 solved: rounds:2,rules:4,peak:6,longest:7,steps:5,word:1,work:1086,nodes:26,pairs:11,completionMax:52us [11m12s] 28256 ab:aa=1,babab=abbb infinite reversed:a/b - - ab:aa=1,babab=abbb,bbbab=abbbb,bbabbb=ababbbb [11m12s] from: 28256 ab:aa=1,babab=abbb infinite to: 27641 ab:aa=1,ababab=bbb infinite a=a,b=b [11m12s] # 28257 solved: rounds:1,rules:3,peak:3,longest:5,steps:3,word:0,work:83,nodes:16,pairs:1,completionMax:8us [11m12s] 28257 ab:aa=1,babab=baab infinite ab - - ab:aa=1,bbab=babb,babab=bb [11m12s] from: 28257 ab:aa=1,babab=baab infinite to: 3533 ab:aa=1,babab=bb infinite a=a,b=b [11m12s] # 28258 solved: rounds:1,rules:3,peak:4,longest:5,steps:3,word:2,work:142,nodes:18,pairs:6,completionMax:15us [11m12s] 28258 ab:aa=1,babab=babb infinite ac/b ba=c frequency:2/1 abc:aa=1,ccac=ccc,b=ca [11m12s] from: 28258 ab:aa=1,babab=babb infinite to: 3673 ab:aa=1,babb=bbb infinite anti:a=a,b=ba,c=b [11m12s] # 28259 solved: rounds:1,rules:3,peak:3,longest:6,steps:3,word:0,work:112,nodes:20,pairs:1,completionMax:9us [11m12s] 28259 ab:aa=1,babab=bbbb infinite ab - - ab:aa=1,babab=bbbb,bbbbab=babbbb [11m12s] # 28260 solved: rounds:3,rules:2,peak:5,longest:8,steps:5,word:3,work:339,nodes:24,pairs:10,completionMax:45us [11m12s] 28260 ab:aa=1,babbb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 28260 ab:aa=1,babbb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 28261 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:675,nodes:20,pairs:11,completionMax:62us [11m12s] 28261 ab:aa=1,babbb=aaab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 28261 ab:aa=1,babbb=aaab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 28262 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:40,nodes:16,pairs:1,completionMax:6us [11m12s] 28262 ab:aa=1,babbb=aaba infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 28262 ab:aa=1,babbb=aaba infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 28263 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [11m12s] 28263 ab:aa=1,babbb=aabb infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 28263 ab:aa=1,babbb=aabb infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 28264 solved: rounds:3,rules:3,peak:6,longest:6,steps:5,word:0,work:677,nodes:20,pairs:11,completionMax:45us [11m12s] 28264 ab:aa=1,babbb=abaa finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 28264 ab:aa=1,babbb=abaa finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 28265 solved: rounds:4,rules:9,peak:12,longest:13,steps:9,word:2,work:14121,nodes:92,pairs:57,completionMax:570us [11m12s] 28265 ab:aa=1,babbb=abab infinite b/a - - ab:babbbbb=bab,bbbbbbab=bbab,aa=1,abab=babbb,abbbbbab=bbbbbabbb,babbbab=abbabbb,bbabbbbab=abbbbabbb,bbbabbab=abbbabbb,abbabbab=bbabbabbb [11m12s] from: 28265 ab:aa=1,babbb=abab infinite to: 27655 ab:aa=1,ababbb=bab infinite a=a,b=b [11m12s] # 28266 solved: rounds:4,rules:8,peak:14,longest:18,steps:13,word:13,work:21460,nodes:128,pairs:132,completionMax:1218us [11m12s] 28266 ab:aa=1,babbb=abba infinite b/a - - ab:bbbbbb=bb,bbabbbb=bba,bbbba=abbbb,aa=1,ababb=bbabbb,abba=babbb,abbba=bbbabb,bbaba=abbbbb [11m12s] from: 28266 ab:aa=1,babbb=abba infinite to: 27125 ab:aa=1,ababbba=bb infinite a=a,b=b [11m12s] # 28267 solved: rounds:1,rules:3,peak:3,longest:5,steps:4,word:0,work:185,nodes:16,pairs:1,completionMax:12us [11m12s] 28267 ab:aa=1,babbb=abbb infinite ab - - ab:aa=1,bbbb=bbb,babbb=abbb [11m12s] from: 28267 ab:aa=1,babbb=abbb infinite to: 27657 ab:aa=1,ababbb=bbb infinite a=a,b=b [11m12s] # 28268 solved: rounds:1,rules:3,peak:3,longest:5,steps:2,word:0,work:41,nodes:16,pairs:1,completionMax:8us [11m12s] 28268 ab:aa=1,babbb=baaa infinite ab - - ab:aa=1,bbbb=b,babbb=ba [11m12s] from: 28268 ab:aa=1,babbb=baaa infinite to: 3383 ab:aa=1,abbbab=b infinite anti:a=a,b=b [11m12s] # 28269 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:14,nodes:12,pairs:0,completionMax:2us [11m12s] 28269 ab:aa=1,babbb=baab infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 28269 ab:aa=1,babbb=baab infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 28270 solved: rounds:2,rules:4,peak:4,longest:6,steps:5,word:0,work:402,nodes:16,pairs:5,completionMax:25us [11m12s] 28270 ab:aa=1,babbb=baba infinite ba - - ab:aa=1,babbb=baba,babab=babba,babbab=bab [11m12s] # 28271 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [11m12s] 28271 ab:aa=1,babbb=babb infinite ab - - ab:aa=1,babbb=babb [11m12s] # 28272 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:15,nodes:12,pairs:0,completionMax:1us [11m12s] 28272 ab:aa=1,babbb=bbaa infinite ab - - ab:aa=1,babbb=bb [11m12s] from: 28272 ab:aa=1,babbb=bbaa infinite to: 3537 ab:aa=1,babbb=bb infinite a=a,b=b [11m12s] # 28273 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:2us [11m12s] 28273 ab:aa=1,babbb=bbab infinite ab - - ab:aa=1,babbb=bbab [11m12s] 28274 ab:aa=1,babbb=bbba hard possibly-finite [11m12s] # 28275 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:13,nodes:12,pairs:0,completionMax:5us [11m12s] 28275 ab:aa=1,babbb=bbbb infinite ab - - ab:aa=1,babbb=bbbb [11m12s] # 28276 solved: rounds:2,rules:2,peak:5,longest:8,steps:4,word:3,work:264,nodes:22,pairs:9,completionMax:41us [11m12s] 28276 ab:aa=1,bbabb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb b/a - - ab:bbbbbbbb=1,a=bbbb [11m12s] from: 28276 ab:aa=1,bbabb=aaaa finite:8;center:1,b,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb;commutative:ab:b8=1,a=b4;saturation:a:a8=1;cancellative;smith:8;group:a-bbbb,b-bbbbbbb to: 188 ab:aab=1,bbbb=1 finite:8;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa;commutative:ab:a8=1,b=a6;saturation:a:a8=1;cancellative;smith:8;group:a-aaaaaaa,b-aa a=aaaa,b=a [11m12s] # 28277 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:532,nodes:26,pairs:15,completionMax:64us [11m12s] 28277 ab:aa=1,bbabb=aaab finite:14;idempotents:1,bbb,abbba ab - - ab:aa=1,bab=abb,bbbb=b [11m12s] from: 28277 ab:aa=1,bbabb=aaab finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba a=a,b=b [11m12s] # 28278 solved: rounds:3,rules:3,peak:6,longest:6,steps:4,word:0,work:526,nodes:24,pairs:15,completionMax:60us [11m12s] 28278 ab:aa=1,bbabb=aaba finite:14;idempotents:1,bbb,abbba ba - - ab:aa=1,bab=bba,bbbb=b [11m12s] from: 28278 ab:aa=1,bbabb=aaba finite:14;idempotents:1,bbb,abbba to: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba anti:a=a,b=b [11m12s] # 28279 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:3us [11m12s] 28279 ab:aa=1,bbabb=aabb infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 28279 ab:aa=1,bbabb=aabb infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 28280 solved: rounds:3,rules:7,peak:12,longest:12,steps:7,word:5,work:12373,nodes:86,pairs:60,completionMax:553us [11m12s] 28280 ab:aa=1,bbabb=abab infinite b/a - - ab:babbbbb=bab,bbbbbab=bab,aa=1,abab=bbabb,abbab=babbbb,abbbab=bbbabbb,babbbbab=abbbbabb [11m12s] from: 28280 ab:aa=1,bbabb=abab infinite to: 27671 ab:aa=1,abbabb=bab infinite a=a,b=b [11m12s] # 28281 solved: rounds:3,rules:12,peak:12,longest:8,steps:5,word:3,work:968,nodes:48,pairs:28,completionMax:118us [11m12s] 28281 ab:aa=1,bbabb=abba infinite b/ca bba=c frequency:3/1 abc:bbbbbb=bb,cbbbb=c,bbbbc=c,abb=bbcbb,bba=c,cc=bbcbb,cbbc=bb,ca=bb,cba=cbbbc,ac=cbb,abc=bbcbc,aa=1 [11m12s] from: 28281 ab:aa=1,bbabb=abba infinite to: 27144 ab:aa=1,abbabba=bb infinite a=a,b=b,c=c [11m12s] # 28282 solved: rounds:2,rules:4,peak:5,longest:7,steps:4,word:1,work:650,nodes:34,pairs:6,completionMax:44us [11m12s] 28282 ab:aa=1,bbabb=abbb infinite b/a - - ab:bbbbbbb=bbbb,babbb=abbbbb,bbabb=abbb,aa=1 [11m12s] from: 28282 ab:aa=1,bbabb=abbb infinite to: 27673 ab:aa=1,abbabb=bbb infinite a=a,b=b [11m12s] # 28283 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:24,nodes:12,pairs:0,completionMax:3us [11m12s] 28283 ab:aa=1,bbabb=baab infinite ab - - ab:aa=1,bbabb=bb [11m12s] from: 28283 ab:aa=1,bbabb=baab infinite to: 3540 ab:aa=1,bbabb=bb infinite a=a,b=b [11m12s] # 28284 solved: rounds:1,rules:5,peak:5,longest:5,steps:4,word:0,work:185,nodes:21,pairs:7,completionMax:24us [11m12s] 28284 ab:aa=1,bbabb=babb infinite acb bb=c frequency:2/0 abc:aa=1,bc=cb,bb=c,bac=cac,ccac=cac [11m12s] # 28285 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:25,nodes:12,pairs:0,completionMax:4us [11m12s] 28285 ab:aa=1,bbabb=bbbb infinite ab - - ab:aa=1,bbabb=bbbb [11m12s] # 28286 solved: rounds:0,rules:2,peak:2,longest:5,steps:2,word:0,work:4,nodes:12,pairs:0,completionMax:3us [11m12s] 28286 ab:aa=1,bbbbb=aaaa infinite;group:a-a,b-bbbb ab - - ab:aa=1,bbbbb=1 [11m12s] from: 28286 ab:aa=1,bbbbb=aaaa infinite;group:a-a,b-bbbb to: 302 ab:aa=1,bbbbb=1 infinite;group:a-a,b-bbbb a=a,b=b [11m12s] # 28287 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:33,nodes:20,pairs:1,completionMax:9us [11m12s] 28287 ab:aa=1,bbbbb=aaab finite:18;idempotents:1,bbbba,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ab=bbbbb,aa=1 [11m12s] from: 28287 ab:aa=1,bbbbb=aaab finite:18;idempotents:1,bbbba,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb a=a,b=b [11m12s] # 28288 solved: rounds:1,rules:3,peak:3,longest:9,steps:1,word:3,work:37,nodes:20,pairs:1,completionMax:9us [11m12s] 28288 ab:aa=1,bbbbb=aaba finite:18;idempotents:1,abbbb,bbbbbbbb b/a - - ab:bbbbbbbbb=b,ba=bbbbb,aa=1 [11m12s] from: 28288 ab:aa=1,bbbbb=aaba finite:18;idempotents:1,abbbb,bbbbbbbb to: 3387 ab:aa=1,abbbbb=b finite:18;idempotents:1,bbbba,bbbbbbbb anti:a=a,b=b [11m12s] # 28289 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:22,nodes:12,pairs:0,completionMax:2us [11m12s] 28289 ab:aa=1,bbbbb=aabb infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 28289 ab:aa=1,bbbbb=aabb infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 28290 solved: rounds:2,rules:3,peak:4,longest:22,steps:25,word:15,work:1722,nodes:86,pairs:6,completionMax:110us [11m12s] 28290 ab:aa=1,bbbbb=abab finite:82;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba b/a - - ab:bbbbbbbbbbbbbbbbbbbbb=bbbbbb,bab=abbbbb,aa=1 [11m12s] from: 28290 ab:aa=1,bbbbb=abab finite:82;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba to: 27693 ab:aa=1,abbbbb=bab finite:82;idempotents:1,bbbbbbbbbbbbbbb,abbbbbbbbbbbbbbba a=a,b=b [11m12s] # 28291 solved: rounds:4,rules:4,peak:6,longest:40,steps:16,word:33,work:11458,nodes:130,pairs:16,completionMax:615us [11m12s] 28291 ab:aa=1,bbbbb=abba infinite b/a - - ab:bbbbbbbbbbbbbbbbbbbbbbb=bb,babb=abbbbbbbbbbbbbbb,bba=abbbbb,aa=1 [11m12s] from: 28291 ab:aa=1,bbbbb=abba infinite to: 27163 ab:aa=1,abbbbba=bb infinite a=a,b=b [11m12s] # 28292 solved: rounds:1,rules:3,peak:3,longest:7,steps:2,word:1,work:93,nodes:20,pairs:1,completionMax:11us [11m12s] 28292 ab:aa=1,bbbbb=abbb infinite b/a - - ab:bbbbbbb=bbb,abbb=bbbbb,aa=1 [11m12s] from: 28292 ab:aa=1,bbbbb=abbb infinite to: 27695 ab:aa=1,abbbbb=bbb infinite a=a,b=b [11m12s] # 28293 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:0,work:23,nodes:12,pairs:0,completionMax:5us [11m12s] 28293 ab:aa=1,bbbbb=baab infinite ab - - ab:aa=1,bbbbb=bb [11m12s] from: 28293 ab:aa=1,bbbbb=baab infinite to: 3543 ab:aa=1,bbbbb=bb infinite a=a,b=b [11m12s] # 28294 solved: rounds:0,rules:2,peak:2,longest:5,steps:1,word:1,work:12,nodes:10,pairs:0,completionMax:4us [11m12s] 28294 ab:aa=1,bbbbb=babb infinite b/a - - ab:babb=bbbbb,aa=1 [11m12s] # 28295 solved: rounds:0,rules:2,peak:2,longest:5,steps:4,word:0,work:100,nodes:12,pairs:0,completionMax:5us [11m12s] 28295 ab:aa=1,bbbbb=bbbb infinite ab - - ab:aa=1,bbbbb=bbbb [11m12s] # 28296 solved: rounds:5,rules:2,peak:3,longest:5,steps:4,word:0,work:394,nodes:10,pairs:5,completionMax:36us [11m12s] 28296 ab:ab=1,aaaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28296 ab:ab=1,aaaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28297 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:84,nodes:10,pairs:3,completionMax:23us [11m12s] 28297 ab:ab=1,aaaaa=aaab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28297 ab:ab=1,aaaaa=aaab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28298 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:83,nodes:10,pairs:3,completionMax:18us [11m12s] 28298 ab:ab=1,aaaaa=aaba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28298 ab:ab=1,aaaaa=aaba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28299 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:10,nodes:10,pairs:1,completionMax:7us [11m12s] 28299 ab:ab=1,aaaaa=aabb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28299 ab:ab=1,aaaaa=aabb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28300 solved: rounds:3,rules:2,peak:3,longest:5,steps:1,word:0,work:82,nodes:10,pairs:3,completionMax:20us [11m12s] 28300 ab:ab=1,aaaaa=abaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28300 ab:ab=1,aaaaa=abaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28301 solved: rounds:1,rules:2,peak:3,longest:5,steps:2,word:0,work:9,nodes:10,pairs:1,completionMax:6us [11m12s] 28301 ab:ab=1,aaaaa=abab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28301 ab:ab=1,aaaaa=abab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28302 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:54,nodes:14,pairs:4,completionMax:17us [11m12s] 28302 ab:ab=1,aaaaa=abba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28302 ab:ab=1,aaaaa=abba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28303 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:240,nodes:24,pairs:4,completionMax:26us [11m12s] 28303 ab:ab=1,aaaaa=abbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28303 ab:ab=1,aaaaa=abbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28304 solved: rounds:4,rules:2,peak:5,longest:6,steps:2,word:1,work:338,nodes:18,pairs:10,completionMax:41us [11m12s] 28304 ab:ab=1,aaaaa=baaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28304 ab:ab=1,aaaaa=baaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28305 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:56,nodes:14,pairs:4,completionMax:16us [11m12s] 28305 ab:ab=1,aaaaa=baab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28305 ab:ab=1,aaaaa=baab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28306 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:3,work:55,nodes:14,pairs:4,completionMax:22us [11m12s] 28306 ab:ab=1,aaaaa=baba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28306 ab:ab=1,aaaaa=baba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28307 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:241,nodes:24,pairs:4,completionMax:33us [11m12s] 28307 ab:ab=1,aaaaa=babb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28307 ab:ab=1,aaaaa=babb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28308 solved: rounds:4,rules:2,peak:6,longest:7,steps:2,word:3,work:293,nodes:20,pairs:14,completionMax:56us [11m12s] 28308 ab:ab=1,aaaaa=bbaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28308 ab:ab=1,aaaaa=bbaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28309 solved: rounds:2,rules:2,peak:4,longest:11,steps:2,word:5,work:242,nodes:24,pairs:4,completionMax:34us [11m12s] 28309 ab:ab=1,aaaaa=bbab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28309 ab:ab=1,aaaaa=bbab finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28310 solved: rounds:4,rules:2,peak:6,longest:9,steps:2,word:5,work:461,nodes:22,pairs:18,completionMax:78us [11m12s] 28310 ab:ab=1,aaaaa=bbba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28310 ab:ab=1,aaaaa=bbba finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28311 solved: rounds:3,rules:2,peak:7,longest:11,steps:3,word:7,work:766,nodes:30,pairs:17,completionMax:109us [11m12s] 28311 ab:ab=1,aaaaa=bbbb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a a/b - - ab:aaaaaaaaa=1,b=aaaaaaaa [11m12s] from: 28311 ab:ab=1,aaaaa=bbbb finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b9=1,a=b8;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-a to: 118 ab:aaa=b,bbb=1 finite:9;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:a9=1,b=a3;saturation:a:a9=1;cancellative;smith:9;group:a-aaaaaaaa,b-aaaaaa a=aaaaaaaa,b=a [11m12s] # 28312 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:162,nodes:8,pairs:4,completionMax:23us [11m12s] 28312 ab:ab=1,aaaab=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28312 ab:ab=1,aaaab=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28313 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:57,nodes:6,pairs:3,completionMax:9us [11m12s] 28313 ab:ab=1,aaaab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28313 ab:ab=1,aaaab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28314 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:56,nodes:6,pairs:3,completionMax:10us [11m12s] 28314 ab:ab=1,aaaab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28314 ab:ab=1,aaaab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28315 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:13,nodes:6,pairs:1,completionMax:4us [11m12s] 28315 ab:ab=1,aaaab=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28315 ab:ab=1,aaaab=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28316 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:17us [11m12s] 28316 ab:ab=1,aaaab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28316 ab:ab=1,aaaab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28317 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:4us [11m12s] 28317 ab:ab=1,aaaab=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28317 ab:ab=1,aaaab=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28318 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:41,nodes:10,pairs:4,completionMax:19us [11m12s] 28318 ab:ab=1,aaaab=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28318 ab:ab=1,aaaab=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28319 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:22us [11m12s] 28319 ab:ab=1,aaaab=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28319 ab:ab=1,aaaab=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28320 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:276,nodes:14,pairs:10,completionMax:29us [11m12s] 28320 ab:ab=1,aaaab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28320 ab:ab=1,aaaab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28321 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:43,nodes:10,pairs:4,completionMax:12us [11m12s] 28321 ab:ab=1,aaaab=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28321 ab:ab=1,aaaab=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28322 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:42,nodes:10,pairs:4,completionMax:15us [11m12s] 28322 ab:ab=1,aaaab=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28322 ab:ab=1,aaaab=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28323 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:102,nodes:16,pairs:4,completionMax:21us [11m12s] 28323 ab:ab=1,aaaab=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28323 ab:ab=1,aaaab=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28324 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:181,nodes:16,pairs:14,completionMax:46us [11m12s] 28324 ab:ab=1,aaaab=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28324 ab:ab=1,aaaab=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28325 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:103,nodes:16,pairs:4,completionMax:25us [11m12s] 28325 ab:ab=1,aaaab=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28325 ab:ab=1,aaaab=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28326 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:3,work:136,nodes:14,pairs:17,completionMax:42us [11m12s] 28326 ab:ab=1,aaaab=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28326 ab:ab=1,aaaab=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28327 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:5,work:236,nodes:18,pairs:10,completionMax:43us [11m12s] 28327 ab:ab=1,aaaab=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28327 ab:ab=1,aaaab=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28328 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:161,nodes:8,pairs:4,completionMax:24us [11m12s] 28328 ab:ab=1,aaaba=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28328 ab:ab=1,aaaba=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28329 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:56,nodes:6,pairs:3,completionMax:11us [11m12s] 28329 ab:ab=1,aaaba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28329 ab:ab=1,aaaba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28330 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:10us [11m12s] 28330 ab:ab=1,aaaba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28330 ab:ab=1,aaaba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28331 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:12,nodes:6,pairs:1,completionMax:6us [11m12s] 28331 ab:ab=1,aaaba=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28331 ab:ab=1,aaaba=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28332 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:12us [11m12s] 28332 ab:ab=1,aaaba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28332 ab:ab=1,aaaba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28333 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:5us [11m12s] 28333 ab:ab=1,aaaba=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28333 ab:ab=1,aaaba=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28334 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:40,nodes:10,pairs:4,completionMax:17us [11m12s] 28334 ab:ab=1,aaaba=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28334 ab:ab=1,aaaba=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28335 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:100,nodes:16,pairs:4,completionMax:32us [11m12s] 28335 ab:ab=1,aaaba=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28335 ab:ab=1,aaaba=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28336 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:275,nodes:14,pairs:10,completionMax:38us [11m12s] 28336 ab:ab=1,aaaba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28336 ab:ab=1,aaaba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28337 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:42,nodes:10,pairs:4,completionMax:16us [11m12s] 28337 ab:ab=1,aaaba=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28337 ab:ab=1,aaaba=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28338 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:41,nodes:10,pairs:4,completionMax:14us [11m12s] 28338 ab:ab=1,aaaba=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28338 ab:ab=1,aaaba=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28339 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:22us [11m12s] 28339 ab:ab=1,aaaba=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28339 ab:ab=1,aaaba=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28340 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:180,nodes:16,pairs:14,completionMax:45us [11m12s] 28340 ab:ab=1,aaaba=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28340 ab:ab=1,aaaba=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28341 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:102,nodes:16,pairs:4,completionMax:27us [11m12s] 28341 ab:ab=1,aaaba=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28341 ab:ab=1,aaaba=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28342 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:3,work:135,nodes:14,pairs:17,completionMax:46us [11m12s] 28342 ab:ab=1,aaaba=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28342 ab:ab=1,aaaba=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28343 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:5,work:235,nodes:18,pairs:10,completionMax:45us [11m12s] 28343 ab:ab=1,aaaba=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28343 ab:ab=1,aaaba=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28344 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:32,nodes:8,pairs:2,completionMax:10us [11m12s] 28344 ab:ab=1,aaabb=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28344 ab:ab=1,aaabb=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28345 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:20,nodes:4,pairs:2,completionMax:7us [11m12s] 28345 ab:ab=1,aaabb=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28345 ab:ab=1,aaabb=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28346 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:19,nodes:4,pairs:2,completionMax:6us [11m12s] 28346 ab:ab=1,aaabb=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28346 ab:ab=1,aaabb=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28347 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:12,nodes:4,pairs:1,completionMax:6us [11m12s] 28347 ab:ab=1,aaabb=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28347 ab:ab=1,aaabb=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28348 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:8us [11m12s] 28348 ab:ab=1,aaabb=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28348 ab:ab=1,aaabb=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28349 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 28349 ab:ab=1,aaabb=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28349 ab:ab=1,aaabb=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28350 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:6us [11m12s] 28350 ab:ab=1,aaabb=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28350 ab:ab=1,aaabb=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28351 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:23,nodes:8,pairs:2,completionMax:7us [11m12s] 28351 ab:ab=1,aaabb=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28351 ab:ab=1,aaabb=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28352 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:77,nodes:12,pairs:12,completionMax:24us [11m12s] 28352 ab:ab=1,aaabb=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28352 ab:ab=1,aaabb=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28353 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:26,nodes:6,pairs:4,completionMax:9us [11m12s] 28353 ab:ab=1,aaabb=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28353 ab:ab=1,aaabb=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28354 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:25,nodes:6,pairs:4,completionMax:8us [11m12s] 28354 ab:ab=1,aaabb=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28354 ab:ab=1,aaabb=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28355 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:24,nodes:8,pairs:2,completionMax:8us [11m12s] 28355 ab:ab=1,aaabb=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28355 ab:ab=1,aaabb=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28356 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:98,nodes:12,pairs:14,completionMax:31us [11m12s] 28356 ab:ab=1,aaabb=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28356 ab:ab=1,aaabb=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28357 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:25,nodes:8,pairs:2,completionMax:7us [11m12s] 28357 ab:ab=1,aaabb=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28357 ab:ab=1,aaabb=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28358 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:139,nodes:12,pairs:14,completionMax:38us [11m12s] 28358 ab:ab=1,aaabb=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28358 ab:ab=1,aaabb=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28359 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:3,work:165,nodes:10,pairs:9,completionMax:35us [11m12s] 28359 ab:ab=1,aaabb=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28359 ab:ab=1,aaabb=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28360 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:160,nodes:8,pairs:4,completionMax:26us [11m12s] 28360 ab:ab=1,aabaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28360 ab:ab=1,aabaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28361 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:55,nodes:6,pairs:3,completionMax:10us [11m12s] 28361 ab:ab=1,aabaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28361 ab:ab=1,aabaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28362 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:9us [11m12s] 28362 ab:ab=1,aabaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28362 ab:ab=1,aabaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28363 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:11,nodes:6,pairs:1,completionMax:4us [11m12s] 28363 ab:ab=1,aabaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28363 ab:ab=1,aabaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28364 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:16us [11m12s] 28364 ab:ab=1,aabaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28364 ab:ab=1,aabaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28365 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:5us [11m12s] 28365 ab:ab=1,aabaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28365 ab:ab=1,aabaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28366 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:39,nodes:10,pairs:4,completionMax:16us [11m12s] 28366 ab:ab=1,aabaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28366 ab:ab=1,aabaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28367 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:99,nodes:16,pairs:4,completionMax:27us [11m12s] 28367 ab:ab=1,aabaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28367 ab:ab=1,aabaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28368 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:274,nodes:14,pairs:10,completionMax:42us [11m12s] 28368 ab:ab=1,aabaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28368 ab:ab=1,aabaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28369 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:41,nodes:10,pairs:4,completionMax:16us [11m12s] 28369 ab:ab=1,aabaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28369 ab:ab=1,aabaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28370 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:40,nodes:10,pairs:4,completionMax:14us [11m12s] 28370 ab:ab=1,aabaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28370 ab:ab=1,aabaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28371 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:100,nodes:16,pairs:4,completionMax:26us [11m12s] 28371 ab:ab=1,aabaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28371 ab:ab=1,aabaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28372 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:179,nodes:16,pairs:14,completionMax:46us [11m12s] 28372 ab:ab=1,aabaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28372 ab:ab=1,aabaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28373 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:101,nodes:16,pairs:4,completionMax:24us [11m12s] 28373 ab:ab=1,aabaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28373 ab:ab=1,aabaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28374 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:3,work:134,nodes:14,pairs:17,completionMax:41us [11m12s] 28374 ab:ab=1,aabaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28374 ab:ab=1,aabaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28375 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:5,work:234,nodes:18,pairs:10,completionMax:39us [11m12s] 28375 ab:ab=1,aabaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28375 ab:ab=1,aabaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28376 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:31,nodes:8,pairs:2,completionMax:10us [11m12s] 28376 ab:ab=1,aabab=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28376 ab:ab=1,aabab=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28377 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:19,nodes:4,pairs:2,completionMax:4us [11m12s] 28377 ab:ab=1,aabab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28377 ab:ab=1,aabab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28378 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:4us [11m12s] 28378 ab:ab=1,aabab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28378 ab:ab=1,aabab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28379 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:11,nodes:4,pairs:1,completionMax:2us [11m12s] 28379 ab:ab=1,aabab=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28379 ab:ab=1,aabab=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28380 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:3us [11m12s] 28380 ab:ab=1,aabab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28380 ab:ab=1,aabab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28381 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:1us [11m12s] 28381 ab:ab=1,aabab=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28381 ab:ab=1,aabab=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28382 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:7us [11m12s] 28382 ab:ab=1,aabab=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28382 ab:ab=1,aabab=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28383 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:22,nodes:8,pairs:2,completionMax:9us [11m12s] 28383 ab:ab=1,aabab=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28383 ab:ab=1,aabab=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28384 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:76,nodes:12,pairs:12,completionMax:26us [11m12s] 28384 ab:ab=1,aabab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28384 ab:ab=1,aabab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28385 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:25,nodes:6,pairs:4,completionMax:9us [11m12s] 28385 ab:ab=1,aabab=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28385 ab:ab=1,aabab=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28386 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:7us [11m12s] 28386 ab:ab=1,aabab=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28386 ab:ab=1,aabab=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28387 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:23,nodes:8,pairs:2,completionMax:8us [11m12s] 28387 ab:ab=1,aabab=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28387 ab:ab=1,aabab=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28388 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:97,nodes:12,pairs:14,completionMax:36us [11m12s] 28388 ab:ab=1,aabab=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28388 ab:ab=1,aabab=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28389 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:24,nodes:8,pairs:2,completionMax:10us [11m12s] 28389 ab:ab=1,aabab=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28389 ab:ab=1,aabab=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28390 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:138,nodes:12,pairs:14,completionMax:43us [11m12s] 28390 ab:ab=1,aabab=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28390 ab:ab=1,aabab=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28391 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:3,work:164,nodes:10,pairs:9,completionMax:31us [11m12s] 28391 ab:ab=1,aabab=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28391 ab:ab=1,aabab=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28392 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:16us [11m12s] 28392 ab:ab=1,aabba=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28392 ab:ab=1,aabba=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28393 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:6us [11m12s] 28393 ab:ab=1,aabba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28393 ab:ab=1,aabba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28394 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:7us [11m12s] 28394 ab:ab=1,aabba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28394 ab:ab=1,aabba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28395 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 28395 ab:ab=1,aabba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28395 ab:ab=1,aabba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28396 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:7us [11m12s] 28396 ab:ab=1,aabba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28396 ab:ab=1,aabba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28397 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:3us [11m12s] 28397 ab:ab=1,aabba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28397 ab:ab=1,aabba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28398 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:11us [11m12s] 28398 ab:ab=1,aabba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28398 ab:ab=1,aabba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28399 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:21,nodes:8,pairs:2,completionMax:9us [11m12s] 28399 ab:ab=1,aabba=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28399 ab:ab=1,aabba=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28400 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:29us [11m12s] 28400 ab:ab=1,aabba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28400 ab:ab=1,aabba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28401 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:9us [11m12s] 28401 ab:ab=1,aabba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28401 ab:ab=1,aabba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28402 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:8us [11m12s] 28402 ab:ab=1,aabba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28402 ab:ab=1,aabba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28403 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:22,nodes:8,pairs:2,completionMax:8us [11m12s] 28403 ab:ab=1,aabba=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28403 ab:ab=1,aabba=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28404 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:35us [11m12s] 28404 ab:ab=1,aabba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28404 ab:ab=1,aabba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28405 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:23,nodes:8,pairs:2,completionMax:9us [11m12s] 28405 ab:ab=1,aabba=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28405 ab:ab=1,aabba=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28406 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:137,nodes:12,pairs:14,completionMax:43us [11m12s] 28406 ab:ab=1,aabba=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28406 ab:ab=1,aabba=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28407 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:3,work:163,nodes:10,pairs:9,completionMax:35us [11m12s] 28407 ab:ab=1,aabba=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28407 ab:ab=1,aabba=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28408 solved: rounds:4,rules:2,peak:3,longest:4,steps:3,word:0,work:159,nodes:8,pairs:4,completionMax:22us [11m12s] 28408 ab:ab=1,abaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28408 ab:ab=1,abaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28409 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:54,nodes:6,pairs:3,completionMax:17us [11m12s] 28409 ab:ab=1,abaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28409 ab:ab=1,abaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28410 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:53,nodes:6,pairs:3,completionMax:8us [11m12s] 28410 ab:ab=1,abaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28410 ab:ab=1,abaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28411 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:10,nodes:6,pairs:1,completionMax:4us [11m12s] 28411 ab:ab=1,abaaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28411 ab:ab=1,abaaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28412 solved: rounds:3,rules:2,peak:3,longest:3,steps:2,word:0,work:52,nodes:6,pairs:3,completionMax:16us [11m12s] 28412 ab:ab=1,abaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28412 ab:ab=1,abaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28413 solved: rounds:1,rules:2,peak:3,longest:3,steps:2,word:0,work:9,nodes:6,pairs:1,completionMax:4us [11m12s] 28413 ab:ab=1,abaaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28413 ab:ab=1,abaaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28414 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:38,nodes:10,pairs:4,completionMax:18us [11m12s] 28414 ab:ab=1,abaaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28414 ab:ab=1,abaaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28415 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:98,nodes:16,pairs:4,completionMax:25us [11m12s] 28415 ab:ab=1,abaaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28415 ab:ab=1,abaaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28416 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:273,nodes:14,pairs:10,completionMax:40us [11m12s] 28416 ab:ab=1,abaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28416 ab:ab=1,abaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28417 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:40,nodes:10,pairs:4,completionMax:13us [11m12s] 28417 ab:ab=1,abaaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28417 ab:ab=1,abaaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28418 solved: rounds:2,rules:2,peak:4,longest:4,steps:1,word:1,work:39,nodes:10,pairs:4,completionMax:16us [11m12s] 28418 ab:ab=1,abaaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28418 ab:ab=1,abaaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28419 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:99,nodes:16,pairs:4,completionMax:20us [11m12s] 28419 ab:ab=1,abaaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28419 ab:ab=1,abaaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28420 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:178,nodes:16,pairs:14,completionMax:36us [11m12s] 28420 ab:ab=1,abaaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28420 ab:ab=1,abaaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28421 solved: rounds:2,rules:2,peak:4,longest:7,steps:2,word:3,work:100,nodes:16,pairs:4,completionMax:29us [11m12s] 28421 ab:ab=1,abaaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28421 ab:ab=1,abaaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28422 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:3,work:133,nodes:14,pairs:17,completionMax:51us [11m12s] 28422 ab:ab=1,abaaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28422 ab:ab=1,abaaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28423 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:5,work:233,nodes:18,pairs:10,completionMax:37us [11m12s] 28423 ab:ab=1,abaaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28423 ab:ab=1,abaaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28424 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:30,nodes:8,pairs:2,completionMax:11us [11m12s] 28424 ab:ab=1,abaab=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28424 ab:ab=1,abaab=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28425 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:18,nodes:4,pairs:2,completionMax:6us [11m12s] 28425 ab:ab=1,abaab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28425 ab:ab=1,abaab=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28426 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:5us [11m12s] 28426 ab:ab=1,abaab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28426 ab:ab=1,abaab=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28427 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:10,nodes:4,pairs:1,completionMax:2us [11m12s] 28427 ab:ab=1,abaab=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28427 ab:ab=1,abaab=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28428 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:4us [11m12s] 28428 ab:ab=1,abaab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28428 ab:ab=1,abaab=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28429 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:2us [11m12s] 28429 ab:ab=1,abaab=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28429 ab:ab=1,abaab=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28430 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:9us [11m12s] 28430 ab:ab=1,abaab=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28430 ab:ab=1,abaab=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28431 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:21,nodes:8,pairs:2,completionMax:10us [11m12s] 28431 ab:ab=1,abaab=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28431 ab:ab=1,abaab=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28432 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:75,nodes:12,pairs:12,completionMax:25us [11m12s] 28432 ab:ab=1,abaab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28432 ab:ab=1,abaab=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28433 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:24,nodes:6,pairs:4,completionMax:13us [11m12s] 28433 ab:ab=1,abaab=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28433 ab:ab=1,abaab=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28434 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:7us [11m12s] 28434 ab:ab=1,abaab=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28434 ab:ab=1,abaab=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28435 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:22,nodes:8,pairs:2,completionMax:11us [11m12s] 28435 ab:ab=1,abaab=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28435 ab:ab=1,abaab=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28436 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:96,nodes:12,pairs:14,completionMax:27us [11m12s] 28436 ab:ab=1,abaab=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28436 ab:ab=1,abaab=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28437 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:23,nodes:8,pairs:2,completionMax:7us [11m12s] 28437 ab:ab=1,abaab=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28437 ab:ab=1,abaab=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28438 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:137,nodes:12,pairs:14,completionMax:30us [11m12s] 28438 ab:ab=1,abaab=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28438 ab:ab=1,abaab=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28439 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:3,work:163,nodes:10,pairs:9,completionMax:24us [11m12s] 28439 ab:ab=1,abaab=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28439 ab:ab=1,abaab=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28440 solved: rounds:2,rules:2,peak:3,longest:4,steps:2,word:0,work:29,nodes:8,pairs:2,completionMax:8us [11m12s] 28440 ab:ab=1,ababa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28440 ab:ab=1,ababa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28441 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:17,nodes:4,pairs:2,completionMax:5us [11m12s] 28441 ab:ab=1,ababa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28441 ab:ab=1,ababa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28442 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:16,nodes:4,pairs:2,completionMax:3us [11m12s] 28442 ab:ab=1,ababa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28442 ab:ab=1,ababa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28443 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:9,nodes:4,pairs:1,completionMax:3us [11m12s] 28443 ab:ab=1,ababa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28443 ab:ab=1,ababa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28444 solved: rounds:2,rules:2,peak:3,longest:2,steps:2,word:0,work:15,nodes:4,pairs:2,completionMax:7us [11m12s] 28444 ab:ab=1,ababa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28444 ab:ab=1,ababa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28445 solved: rounds:1,rules:2,peak:2,longest:2,steps:2,word:0,work:8,nodes:4,pairs:1,completionMax:4us [11m12s] 28445 ab:ab=1,ababa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28445 ab:ab=1,ababa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28446 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:21,nodes:6,pairs:4,completionMax:11us [11m12s] 28446 ab:ab=1,ababa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28446 ab:ab=1,ababa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28447 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:20,nodes:8,pairs:2,completionMax:7us [11m12s] 28447 ab:ab=1,ababa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28447 ab:ab=1,ababa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28448 solved: rounds:3,rules:2,peak:4,longest:4,steps:2,word:0,work:74,nodes:12,pairs:12,completionMax:35us [11m12s] 28448 ab:ab=1,ababa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28448 ab:ab=1,ababa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28449 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:23,nodes:6,pairs:4,completionMax:7us [11m12s] 28449 ab:ab=1,ababa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28449 ab:ab=1,ababa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28450 solved: rounds:2,rules:2,peak:4,longest:2,steps:2,word:0,work:22,nodes:6,pairs:4,completionMax:9us [11m12s] 28450 ab:ab=1,ababa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28450 ab:ab=1,ababa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28451 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:21,nodes:8,pairs:2,completionMax:8us [11m12s] 28451 ab:ab=1,ababa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28451 ab:ab=1,ababa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28452 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:0,work:95,nodes:12,pairs:14,completionMax:35us [11m12s] 28452 ab:ab=1,ababa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28452 ab:ab=1,ababa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28453 solved: rounds:1,rules:2,peak:4,longest:3,steps:2,word:1,work:22,nodes:8,pairs:2,completionMax:10us [11m12s] 28453 ab:ab=1,ababa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28453 ab:ab=1,ababa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28454 solved: rounds:3,rules:2,peak:6,longest:4,steps:2,word:1,work:136,nodes:12,pairs:14,completionMax:47us [11m12s] 28454 ab:ab=1,ababa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28454 ab:ab=1,ababa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28455 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:3,work:162,nodes:10,pairs:9,completionMax:28us [11m12s] 28455 ab:ab=1,ababa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28455 ab:ab=1,ababa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28456 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:131,nodes:14,pairs:7,completionMax:25us [11m12s] 28456 ab:ab=1,abbaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28456 ab:ab=1,abbaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28457 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:25us [11m12s] 28457 ab:ab=1,abbaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28457 ab:ab=1,abbaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28458 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:20us [11m12s] 28458 ab:ab=1,abbaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28458 ab:ab=1,abbaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28459 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:16us [11m12s] 28459 ab:ab=1,abbaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28459 ab:ab=1,abbaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28460 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:10,pairs:7,completionMax:19us [11m12s] 28460 ab:ab=1,abbaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28460 ab:ab=1,abbaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28461 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:13us [11m12s] 28461 ab:ab=1,abbaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28461 ab:ab=1,abbaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28462 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:49,nodes:8,pairs:6,completionMax:12us [11m12s] 28462 ab:ab=1,abbaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28462 ab:ab=1,abbaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28463 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:92,nodes:14,pairs:5,completionMax:18us [11m12s] 28463 ab:ab=1,abbaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28463 ab:ab=1,abbaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28464 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:151,nodes:12,pairs:9,completionMax:26us [11m12s] 28464 ab:ab=1,abbaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28464 ab:ab=1,abbaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28465 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:19us [11m12s] 28465 ab:ab=1,abbaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28465 ab:ab=1,abbaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28466 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:14us [11m12s] 28466 ab:ab=1,abbaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28466 ab:ab=1,abbaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28467 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:93,nodes:14,pairs:5,completionMax:20us [11m12s] 28467 ab:ab=1,abbaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28467 ab:ab=1,abbaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28468 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:147,nodes:12,pairs:12,completionMax:30us [11m12s] 28468 ab:ab=1,abbaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28468 ab:ab=1,abbaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28469 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:94,nodes:14,pairs:5,completionMax:16us [11m12s] 28469 ab:ab=1,abbaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28469 ab:ab=1,abbaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28470 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:193,nodes:14,pairs:13,completionMax:36us [11m12s] 28470 ab:ab=1,abbaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28470 ab:ab=1,abbaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28471 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:392,nodes:20,pairs:21,completionMax:43us [11m12s] 28471 ab:ab=1,abbaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28471 ab:ab=1,abbaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28472 solved: rounds:3,rules:2,peak:5,longest:6,steps:2,word:3,work:112,nodes:14,pairs:11,completionMax:52us [11m12s] 28472 ab:ab=1,abbba=aaaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28472 ab:ab=1,abbba=aaaa finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28473 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:56,nodes:8,pairs:9,completionMax:25us [11m12s] 28473 ab:ab=1,abbba=aaab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28473 ab:ab=1,abbba=aaab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28474 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:55,nodes:8,pairs:9,completionMax:18us [11m12s] 28474 ab:ab=1,abbba=aaba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28474 ab:ab=1,abbba=aaba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28475 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:13us [11m12s] 28475 ab:ab=1,abbba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28475 ab:ab=1,abbba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28476 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:1,work:54,nodes:8,pairs:9,completionMax:24us [11m12s] 28476 ab:ab=1,abbba=abaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28476 ab:ab=1,abbba=abaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28477 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:41,nodes:8,pairs:8,completionMax:25us [11m12s] 28477 ab:ab=1,abbba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28477 ab:ab=1,abbba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28478 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:7,completionMax:18us [11m12s] 28478 ab:ab=1,abbba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28478 ab:ab=1,abbba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28479 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:84,nodes:8,pairs:6,completionMax:25us [11m12s] 28479 ab:ab=1,abbba=abbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28479 ab:ab=1,abbba=abbb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28480 solved: rounds:3,rules:2,peak:5,longest:4,steps:2,word:1,work:98,nodes:10,pairs:9,completionMax:30us [11m12s] 28480 ab:ab=1,abbba=baaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28480 ab:ab=1,abbba=baaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28481 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:7,completionMax:16us [11m12s] 28481 ab:ab=1,abbba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28481 ab:ab=1,abbba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28482 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:7,completionMax:14us [11m12s] 28482 ab:ab=1,abbba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28482 ab:ab=1,abbba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28483 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:8,pairs:6,completionMax:21us [11m12s] 28483 ab:ab=1,abbba=babb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28483 ab:ab=1,abbba=babb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28484 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:151,nodes:12,pairs:11,completionMax:40us [11m12s] 28484 ab:ab=1,abbba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28484 ab:ab=1,abbba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28485 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:8,pairs:6,completionMax:13us [11m12s] 28485 ab:ab=1,abbba=bbab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28485 ab:ab=1,abbba=bbab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28486 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:151,nodes:10,pairs:10,completionMax:29us [11m12s] 28486 ab:ab=1,abbba=bbba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28486 ab:ab=1,abbba=bbba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28487 solved: rounds:3,rules:2,peak:5,longest:4,steps:3,word:1,work:397,nodes:12,pairs:22,completionMax:44us [11m12s] 28487 ab:ab=1,abbba=bbbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28487 ab:ab=1,abbba=bbbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28488 solved: rounds:5,rules:2,peak:5,longest:5,steps:4,word:0,work:700,nodes:18,pairs:13,completionMax:46us [11m12s] 28488 ab:ab=1,baaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28488 ab:ab=1,baaaa=aaaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28489 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:202,nodes:16,pairs:14,completionMax:39us [11m12s] 28489 ab:ab=1,baaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28489 ab:ab=1,baaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28490 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:201,nodes:16,pairs:14,completionMax:31us [11m12s] 28490 ab:ab=1,baaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28490 ab:ab=1,baaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28491 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:98,nodes:16,pairs:10,completionMax:29us [11m12s] 28491 ab:ab=1,baaaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28491 ab:ab=1,baaaa=aabb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28492 solved: rounds:4,rules:2,peak:5,longest:5,steps:3,word:0,work:200,nodes:16,pairs:14,completionMax:33us [11m12s] 28492 ab:ab=1,baaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28492 ab:ab=1,baaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28493 solved: rounds:2,rules:2,peak:5,longest:5,steps:2,word:1,work:97,nodes:16,pairs:10,completionMax:27us [11m12s] 28493 ab:ab=1,baaaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28493 ab:ab=1,baaaa=abab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28494 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:91,nodes:16,pairs:7,completionMax:28us [11m12s] 28494 ab:ab=1,baaaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28494 ab:ab=1,baaaa=abba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28495 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:390,nodes:26,pairs:5,completionMax:31us [11m12s] 28495 ab:ab=1,baaaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28495 ab:ab=1,baaaa=abbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28496 solved: rounds:5,rules:2,peak:5,longest:5,steps:4,word:0,work:412,nodes:16,pairs:12,completionMax:38us [11m12s] 28496 ab:ab=1,baaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28496 ab:ab=1,baaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28497 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:93,nodes:16,pairs:7,completionMax:20us [11m12s] 28497 ab:ab=1,baaaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28497 ab:ab=1,baaaa=baab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28498 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:92,nodes:16,pairs:7,completionMax:20us [11m12s] 28498 ab:ab=1,baaaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28498 ab:ab=1,baaaa=baba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28499 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:391,nodes:26,pairs:5,completionMax:30us [11m12s] 28499 ab:ab=1,baaaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28499 ab:ab=1,baaaa=babb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28500 solved: rounds:4,rules:2,peak:6,longest:5,steps:3,word:2,work:255,nodes:16,pairs:12,completionMax:60us [11m12s] 28500 ab:ab=1,baaaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28500 ab:ab=1,baaaa=bbaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28501 solved: rounds:2,rules:2,peak:4,longest:12,steps:2,word:3,work:392,nodes:26,pairs:5,completionMax:31us [11m12s] 28501 ab:ab=1,baaaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28501 ab:ab=1,baaaa=bbab finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28502 solved: rounds:4,rules:2,peak:6,longest:10,steps:2,word:3,work:501,nodes:24,pairs:22,completionMax:64us [11m12s] 28502 ab:ab=1,baaaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28502 ab:ab=1,baaaa=bbba finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28503 solved: rounds:3,rules:2,peak:7,longest:9,steps:3,word:5,work:746,nodes:38,pairs:29,completionMax:115us [11m12s] 28503 ab:ab=1,baaaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a a/b - - ab:aaaaaaa=1,b=aaaaaa [11m12s] from: 28503 ab:ab=1,baaaa=bbbb finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b6;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-a to: 116 ab:aaa=b,abb=1 finite:7;center:1,a,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b7=1,a=b5;saturation:a:a7=1;cancellative;smith:7;group:a-aaaaaa,b-aaaa a=bbbbbb,b=b [11m12s] # 28504 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:133,nodes:14,pairs:7,completionMax:34us [11m12s] 28504 ab:ab=1,baaba=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28504 ab:ab=1,baaba=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28505 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:88,nodes:10,pairs:7,completionMax:22us [11m12s] 28505 ab:ab=1,baaba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28505 ab:ab=1,baaba=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28506 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:17us [11m12s] 28506 ab:ab=1,baaba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28506 ab:ab=1,baaba=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28507 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:44,nodes:8,pairs:8,completionMax:22us [11m12s] 28507 ab:ab=1,baaba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28507 ab:ab=1,baaba=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28508 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:20us [11m12s] 28508 ab:ab=1,baaba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28508 ab:ab=1,baaba=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28509 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:18us [11m12s] 28509 ab:ab=1,baaba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28509 ab:ab=1,baaba=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28510 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:17us [11m12s] 28510 ab:ab=1,baaba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28510 ab:ab=1,baaba=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28511 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:94,nodes:14,pairs:5,completionMax:25us [11m12s] 28511 ab:ab=1,baaba=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28511 ab:ab=1,baaba=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28512 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:153,nodes:12,pairs:9,completionMax:31us [11m12s] 28512 ab:ab=1,baaba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28512 ab:ab=1,baaba=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28513 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:53,nodes:8,pairs:6,completionMax:20us [11m12s] 28513 ab:ab=1,baaba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28513 ab:ab=1,baaba=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28514 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:14us [11m12s] 28514 ab:ab=1,baaba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28514 ab:ab=1,baaba=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28515 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:95,nodes:14,pairs:5,completionMax:26us [11m12s] 28515 ab:ab=1,baaba=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28515 ab:ab=1,baaba=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28516 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:149,nodes:12,pairs:12,completionMax:37us [11m12s] 28516 ab:ab=1,baaba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28516 ab:ab=1,baaba=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28517 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:96,nodes:14,pairs:5,completionMax:20us [11m12s] 28517 ab:ab=1,baaba=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28517 ab:ab=1,baaba=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28518 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:195,nodes:14,pairs:13,completionMax:43us [11m12s] 28518 ab:ab=1,baaba=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28518 ab:ab=1,baaba=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28519 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:394,nodes:20,pairs:21,completionMax:54us [11m12s] 28519 ab:ab=1,baaba=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28519 ab:ab=1,baaba=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28520 solved: rounds:3,rules:2,peak:5,longest:5,steps:2,word:1,work:132,nodes:14,pairs:7,completionMax:30us [11m12s] 28520 ab:ab=1,babaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28520 ab:ab=1,babaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28521 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:87,nodes:10,pairs:7,completionMax:18us [11m12s] 28521 ab:ab=1,babaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28521 ab:ab=1,babaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28522 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:86,nodes:10,pairs:7,completionMax:17us [11m12s] 28522 ab:ab=1,babaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28522 ab:ab=1,babaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28523 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:43,nodes:8,pairs:8,completionMax:16us [11m12s] 28523 ab:ab=1,babaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28523 ab:ab=1,babaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28524 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:85,nodes:10,pairs:7,completionMax:18us [11m12s] 28524 ab:ab=1,babaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28524 ab:ab=1,babaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28525 solved: rounds:2,rules:2,peak:5,longest:3,steps:2,word:0,work:42,nodes:8,pairs:8,completionMax:15us [11m12s] 28525 ab:ab=1,babaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28525 ab:ab=1,babaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28526 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:50,nodes:8,pairs:6,completionMax:13us [11m12s] 28526 ab:ab=1,babaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28526 ab:ab=1,babaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28527 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:93,nodes:14,pairs:5,completionMax:24us [11m12s] 28527 ab:ab=1,babaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28527 ab:ab=1,babaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28528 solved: rounds:4,rules:2,peak:5,longest:4,steps:3,word:0,work:152,nodes:12,pairs:9,completionMax:35us [11m12s] 28528 ab:ab=1,babaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28528 ab:ab=1,babaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28529 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:52,nodes:8,pairs:6,completionMax:12us [11m12s] 28529 ab:ab=1,babaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28529 ab:ab=1,babaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28530 solved: rounds:3,rules:2,peak:5,longest:3,steps:2,word:0,work:51,nodes:8,pairs:6,completionMax:11us [11m12s] 28530 ab:ab=1,babaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28530 ab:ab=1,babaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28531 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:94,nodes:14,pairs:5,completionMax:24us [11m12s] 28531 ab:ab=1,babaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28531 ab:ab=1,babaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28532 solved: rounds:4,rules:2,peak:6,longest:4,steps:2,word:0,work:148,nodes:12,pairs:12,completionMax:36us [11m12s] 28532 ab:ab=1,babaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28532 ab:ab=1,babaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28533 solved: rounds:2,rules:2,peak:4,longest:6,steps:1,word:1,work:95,nodes:14,pairs:5,completionMax:19us [11m12s] 28533 ab:ab=1,babaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28533 ab:ab=1,babaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28534 solved: rounds:3,rules:2,peak:6,longest:5,steps:2,word:1,work:194,nodes:14,pairs:13,completionMax:39us [11m12s] 28534 ab:ab=1,babaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28534 ab:ab=1,babaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28535 solved: rounds:2,rules:2,peak:6,longest:7,steps:3,word:3,work:393,nodes:20,pairs:21,completionMax:49us [11m12s] 28535 ab:ab=1,babaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28535 ab:ab=1,babaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # 28536 solved: rounds:4,rules:2,peak:7,longest:6,steps:2,word:1,work:451,nodes:22,pairs:19,completionMax:66us [11m12s] 28536 ab:ab=1,bbaaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28536 ab:ab=1,bbaaa=aaaa finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28537 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:239,nodes:16,pairs:22,completionMax:53us [11m12s] 28537 ab:ab=1,bbaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28537 ab:ab=1,bbaaa=aaab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28538 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:238,nodes:16,pairs:22,completionMax:49us [11m12s] 28538 ab:ab=1,bbaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28538 ab:ab=1,bbaaa=aaba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28539 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:116,nodes:16,pairs:21,completionMax:48us [11m12s] 28539 ab:ab=1,bbaaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28539 ab:ab=1,bbaaa=aabb finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28540 solved: rounds:4,rules:2,peak:7,longest:5,steps:3,word:0,work:237,nodes:16,pairs:22,completionMax:46us [11m12s] 28540 ab:ab=1,bbaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28540 ab:ab=1,bbaaa=abaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28541 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:115,nodes:16,pairs:21,completionMax:38us [11m12s] 28541 ab:ab=1,bbaaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28541 ab:ab=1,bbaaa=abab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28542 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:170,nodes:16,pairs:20,completionMax:45us [11m12s] 28542 ab:ab=1,bbaaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28542 ab:ab=1,bbaaa=abba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28543 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:154,nodes:16,pairs:7,completionMax:32us [11m12s] 28543 ab:ab=1,bbaaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28543 ab:ab=1,bbaaa=abbb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28544 solved: rounds:5,rules:2,peak:7,longest:5,steps:3,word:0,work:413,nodes:18,pairs:17,completionMax:59us [11m12s] 28544 ab:ab=1,bbaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28544 ab:ab=1,bbaaa=baaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28545 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:172,nodes:16,pairs:20,completionMax:44us [11m12s] 28545 ab:ab=1,bbaaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28545 ab:ab=1,bbaaa=baab finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28546 solved: rounds:3,rules:2,peak:7,longest:5,steps:3,word:0,work:171,nodes:16,pairs:20,completionMax:38us [11m12s] 28546 ab:ab=1,bbaaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28546 ab:ab=1,bbaaa=baba finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28547 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:155,nodes:16,pairs:7,completionMax:28us [11m12s] 28547 ab:ab=1,bbaaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28547 ab:ab=1,bbaaa=babb finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28548 solved: rounds:5,rules:2,peak:7,longest:5,steps:3,word:0,work:328,nodes:16,pairs:16,completionMax:49us [11m12s] 28548 ab:ab=1,bbaaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 ab - - ab:a=1,b=1 [11m12s] from: 28548 ab:ab=1,bbaaa=bbaa finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 to: 4 ab:aa=a,ab=1 finite:1;commutative:ab:b=1,a=1;saturation::;cancellative;smith:;group:a-1,b-1 a=1,b=1 [11m12s] # 28549 solved: rounds:3,rules:2,peak:5,longest:5,steps:3,word:1,work:156,nodes:16,pairs:7,completionMax:40us [11m12s] 28549 ab:ab=1,bbaaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28549 ab:ab=1,bbaaa=bbab finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28550 solved: rounds:4,rules:2,peak:7,longest:8,steps:3,word:2,work:874,nodes:20,pairs:19,completionMax:92us [11m12s] 28550 ab:ab=1,bbaaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a/b - - ab:aaa=1,b=aa [11m12s] from: 28550 ab:ab=1,bbaaa=bbba finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a to: 6 ab:aa=b,ab=1 finite:3;center:1,a,aa;commutative:ab:b3=1,a=b2;saturation:a:a3=1;cancellative;smith:3;group:a-aa,b-a a=bb,b=b [11m12s] # 28551 solved: rounds:3,rules:2,peak:8,longest:15,steps:4,word:8,work:2977,nodes:38,pairs:25,completionMax:126us [11m12s] 28551 ab:ab=1,bbaaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a a/b - - ab:aaaaa=1,b=aaaa [11m12s] from: 28551 ab:ab=1,bbaaa=bbbb finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b4;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-a to: 44 ab:aa=b,abb=1 finite:5;center:1,a,aa,aaa,aaaa;commutative:ab:b5=1,a=b3;saturation:a:a5=1;cancellative;smith:5;group:a-aaaa,b-aaa a=bbbb,b=b [11m12s] # successful attempts: rounds:17,rules:112169,peak:2361965,longest:256,steps:395,word:2361,work:29947906,nodes:4723928,pairs:11998,completionMax:1355253us,completionTotal:6053198us [11m12s] # successful attempts with morph: rounds:11,rules:84,peak:90,longest:29,steps:249,word:58,work:1312064,nodes:752,pairs:1887,completionMax:32148us,completionTotal:272317us [11m12s] # discarded attempts: rounds:16,rules:97,peak:99,longest:254,steps:395,word:2361,work:3620962,nodes:1066,pairs:4953,completionMax:186495us,completionTotal:19112092us [11m12s] # failed attempts: tooLongSide:23264,tooManyPairs:327106,tooManySteps:150,tooManyRules:138385,tooManyNodes:92997,tooLongWord:1013,tooManyRounds:214220,tooMuchWork:5108,rounds:19,rules:100,peak:100,longest:269,steps:1001,word:2520,work:36000041,nodes:1958,pairs:11400,completionMax:1675615us,completionTotal:11493407368us [11m12s] # rss:32695392kb [11m12s] # finite monoids before isomorphism: [11m12s] # 2361964:2,10587:1,1220:1,1215:1,1083:3,1024:1,1020:1,960:1,684:1,660:1,605:4,500:1,480:1,432:1,384:1,378:2,375:1,339:5,336:1,324:1,320:1,272:3,260:1,255:2,244:2,195:2,192:1,174:1,165:4,160:2,148:4,147:4,138:1,129:2,120:5,111:1,105:3,101:1,100:7,96:2,85:1,84:6,82:1,81:3,80:2,79:1,78:2,75:3,74:2,72:2,70:3,68:2,64:7,62:1,61:1,60:12,56:6,55:6,54:2,52:4,51:1,50:4,49:1,48:7,45:1,44:4,42:7,40:1,39:3,36:9,34:2,33:2,32:3,31:1,30:19,28:8,27:15,26:8,25:10,24:15,23:2,22:5,21:13,20:29,19:6,18:19,17:20,16:27,15:24,14:36,13:34,12:52,11:41,10:38,9:39,8:45,7:33,6:26,5:17,4:9,3:6,2:2,1:1 [11m12s] # considering finite monoids with 1083 elements [11m12s] # considering finite monoids with 605 elements [11m12s] # considering finite monoids with 378 elements [11m12s] # considering finite monoids with 339 elements [11m12s] # considering finite monoids with 272 elements [11m12s] # considering finite monoids with 255 elements [11m12s] # considering finite monoids with 244 elements [11m12s] # considering finite monoids with 195 elements [11m12s] # considering finite monoids with 165 elements [11m12s] # considering finite monoids with 160 elements [11m12s] # considering finite monoids with 148 elements [11m12s] # considering finite monoids with 147 elements [11m12s] # considering finite monoids with 129 elements [11m12s] # considering finite monoids with 120 elements [11m12s] # considering finite monoids with 105 elements [11m12s] # considering finite monoids with 100 elements [11m12s] # considering finite monoids with 96 elements [11m12s] # considering finite monoids with 84 elements [11m12s] # considering finite monoids with 81 elements [11m12s] # considering finite monoids with 80 elements [11m12s] # considering finite monoids with 78 elements [11m12s] from: 14972 ab:aaa=ab,bbbbbb=1 finite:78;idempotents:1,bbbbbaa,bbbbaaaa,bbbaaaaaa,bbaaaaaaaa,baaaaaaaaaa,aaaaaaaaaaaa to: 13936 ab:aaab=a,bbbbbb=1 finite:78;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaaaa,bbbbaaaaaaaa,bbbbbaaaaaaaaaa a=a,b=bbbbb [11m12s] # considering finite monoids with 75 elements [11m12s] from: 26062 ab:aa=1,abababbbb=1 finite:96;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 4118 ab:bbb=aaa,abab=1 finite:96;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-aba a=ab,b=a [11m12s] # considering finite monoids with 74 elements [11m12s] from: 22259 ab:aaa=1,abaabb=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb to: 7795 ab:aaa=1,abbab=ba finite:129;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=ab [11m12s] # considering finite monoids with 72 elements [11m12s] from: 15524 ab:aaa=bb,ababa=b finite:75;idempotents:1,aaaaaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa to: 13119 ab:bbb=aaa,abba=b finite:75;idempotents:1,aaaaaaaaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa a=a,b=aabaaaaaaaaaaaaaaa [11m12s] # considering finite monoids with 70 elements [11m12s] # considering finite monoids with 68 elements [11m12s] from: 17686 ab:aaaa=1,bbbbb=ab finite:68;idempotents:1,bbbbaaa,bbbbbbbbaa,bbbbbbbbbbbba,bbbbbbbbbbbbbbbb to: 17139 ab:aaaa=1,abbbbb=b finite:68;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbbaaa,bbbbbbbbbbbbbbbb a=a,b=bbb [11m12s] # considering finite monoids with 64 elements [11m12s] from: 11671 ab:aaaa=ab,bbbbb=1 finite:80;idempotents:1,bbbbaaa,bbbaaaaaa,bbaaaaaaaaa,baaaaaaaaaaaa,aaaaaaaaaaaaaaa to: 11163 ab:aaaab=a,bbbbb=1 finite:80;idempotents:1,baaa,bbaaaaaa,bbbaaaaaaaaa,aaaaaaaaaaaaaaa,bbbbaaaaaaaaaaaa a=a,b=bbbb [11m12s] # considering finite monoids with 60 elements [11m12s] from: 27155 ab:aa=1,abbbabb=ba finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb to: 26619 ab:aa=1,abbabbba=b finite:74;idempotents:1,bbbbbbbb;center:1,bbbbbbbb a=a,b=ab [11m12s] # considering finite monoids with 56 elements [11m12s] from: 17146 ab:aaaa=1,baabbb=a finite:272;group:a-bbbbbbbbbbbbabbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=abbbbbbbbbbb [11m12s] from: 17148 ab:aaaa=1,bababb=a finite:272;group:a-bbbbbbbbbbbbabbbbbbbbbbbb,b-bbbbbbbbbbbbbbb to: 16582 ab:aaaa=1,aababbb=1 finite:272;group:a-bbbbabbbb,b-bbbbbbbbbbbbbbb a=a,b=abbbbbbb [11m12s] # considering finite monoids with 55 elements [11m12s] from: 10019 ab:aa=1,abbbab=ba finite:56;idempotents:1,bbbbbb;center:1,bbbbbb to: 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=bab [11m12s] from: 20447 ab:ab=aa,bbbbbbb=1 finite:56;idempotents:1,aaaaaaa,baaaaaa,bbaaaaa,bbbaaaa,bbbbaaa,bbbbbaa,bbbbbba to: 18415 ab:aab=a,bbbbbbb=1 finite:56;idempotents:1,ba,bbaa,bbbaaa,aaaaaaa,bbbbaaaa,bbbbbaaaaa,bbbbbbaaaaaa a=a,b=bbbbbb [11m12s] from: 26587 ab:aa=1,abababba=b finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb to: 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=abbbbb [11m12s] from: 27140 ab:aa=1,abbabab=ba finite:56;idempotents:1,bbbbbbbbb;center:1,bbbbbbbbb to: 9737 ab:aa=1,ababbba=b finite:56;idempotents:1,bbbbbb;center:1,bbbbbb a=a,b=ab [11m12s] # considering finite monoids with 54 elements [11m12s] from: 26073 ab:aa=1,ababbbbbb=1 finite:70;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 18011 ab:abab=1,aaaaa=bb finite:70;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaaaaaaaaaaa a=ba,b=a [11m12s] from: 26109 ab:aa=1,abbbbbbab=1 finite:70;center:1,abab,bbbbb,abbabb,abbbabbb,abbbbabbbb,bbbbbbbbbb;group:a-a,b-ababbbbb to: 18011 ab:abab=1,aaaaa=bb finite:70;center:1,aaaaa,aaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaaaaaaaaaaaa a=ba,b=a [11m12s] # considering finite monoids with 52 elements [11m12s] from: 14991 ab:aaa=bb,ababab=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aabbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=b,b=abbbb [11m12s] from: 21194 ab:aaa=1,abababbb=1 finite:120;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=abbbb [11m12s] from: 21766 ab:aaa=1,baabbbb=a finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-bbabbbbbbbbbbbbbbbbbbbbbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=babb [11m12s] from: 21784 ab:aaa=1,bbababb=a finite:120;center:1,bbb,abbabb,bbbbbb,abbabbbbb,bbbbbbbbb,abbabbbbbbbb,bbbbbbbbbbbb,abbabbbbbbbbbbb,abbabbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbb to: 7249 ab:aaa=1,ababbbb=1 finite:120;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-babbbb,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=bb [11m12s] # considering finite monoids with 50 elements [11m12s] from: 7507 ab:aaa=1,aabbba=b finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb to: 2584 ab:aaa=1,abbb=ba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=aa,b=b [11m12s] from: 22263 ab:aaa=1,ababab=ba finite:81;idempotents:1,bbbbbb;center:1,bbb,bbbbbb to: 2584 ab:aaa=1,abbb=ba finite:81;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=aab [11m12s] # considering finite monoids with 48 elements [11m12s] from: 21199 ab:aaa=1,ababbbba=1 finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7544 ab:aaa=1,babbbb=a finite:195;center:1,bbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=b [11m12s] # considering finite monoids with 44 elements [11m12s] from: 4801 ab:aaa=ab,bbbbb=1 finite:55;idempotents:1,bbbbaa,bbbaaaa,bbaaaaaa,baaaaaaaa,aaaaaaaaaa to: 4413 ab:aaab=a,bbbbb=1 finite:55;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaa,bbbbaaaaaaaa a=a,b=bbbb [11m12s] from: 11279 ab:aaabb=a,bbbbb=1 finite:55;idempotents:1,bbaa,baaaaaa,bbbbaaaa,aaaaaaaaaa,bbbaaaaaaaa to: 4413 ab:aaab=a,bbbbb=1 finite:55;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaa,bbbbaaaaaaaa a=a,b=bbb [11m12s] from: 11883 ab:aaba=ab,bbbbb=1 finite:55;idempotents:1,aa,baabbbb,bbaabbb,bbbaabb,bbbbaab to: 4413 ab:aaab=a,bbbbb=1 finite:55;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaa,bbbbaaaaaaaa a=bbba,b=b [11m12s] from: 12755 ab:abb=aaa,bbbbb=1 finite:55;idempotents:1,baaaa,bbbaa,aaaaaaaaaa,bbaaaaaaaa,bbbbaaaaaa to: 4413 ab:aaab=a,bbbbb=1 finite:55;idempotents:1,baa,bbaaaa,bbbaaaaaa,aaaaaaaaaa,bbbbaaaaaaaa a=a,b=bb [11m12s] # considering finite monoids with 42 elements [11m12s] from: 7540 ab:aaa=1,bababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=baa [11m12s] from: 7819 ab:aaa=1,bbabb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa to: 7815 ab:aaa=1,babbb=ab finite:84;idempotents:1,bbbbbbbbb,aabbbbbbbbba,abbbbbbbbbaa a=aa,b=b [11m12s] from: 21762 ab:aaa=1,baababb=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=ba [11m12s] from: 21764 ab:aaa=1,baabbab=a finite:84;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-aa,b-bbbbbbbbbbb to: 2450 ab:aaa=1,babbb=a finite:84;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbb a=aa,b=baa [11m12s] # considering finite monoids with 39 elements [11m12s] from: 7822 ab:aaa=1,bbbbb=ab finite:39;idempotents:1,bbbbaa,bbbbbbbba,bbbbbbbbbbbb to: 7531 ab:aaa=1,abbbbb=b finite:39;idempotents:1,bbbba,bbbbbbbbaa,bbbbbbbbbbbb a=a,b=baa [11m12s] # considering finite monoids with 36 elements [11m12s] from: 17520 ab:abab=1,abbaaa=b finite:54;group:a-bab,b-bbbbbbbb to: 10757 ab:aaab=bba,abab=1 finite:54;group:a-bab,b-bbbbbbbb a=abb,b=bb [11m12s] # considering finite monoids with 34 elements [11m12s] # considering finite monoids with 33 elements [11m12s] from: 1566 ab:aba=bb,aaaa=1 finite:100;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=aaaaaaaaaaa [11m12s] from: 4108 ab:bab=aba,aaaa=1 finite:100;idempotents:1,bbbb;center:1,bbbb,aabaab,aabbaabb,aaabbaaabb to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=abaaaaaaaaa [11m12s] from: 5713 ab:aaaa=1,ababa=b finite:100;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=aab [11m12s] from: 11051 ab:abba=bab,bbbb=1 finite:100;idempotents:1,aaaaaa;center:1,aaa,aaaaaa,baabaa,baabaaaaa to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=aa,b=bbb [11m12s] from: 17121 ab:aaaa=1,abaaba=b finite:100;idempotents:1,bbbbbb;center:1,bbb,abab,bbbbbb,ababbbb to: 1434 ab:baab=a,bbbb=1 finite:100;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=aa [11m12s] # considering finite monoids with 32 elements [11m12s] from: 6909 ab:ab=aa,bbbbbb=1 finite:42;idempotents:1,aaaaaa,baaaaa,bbaaaa,bbbaaa,bbbbaa,bbbbba to: 6101 ab:aab=a,bbbbbb=1 finite:42;idempotents:1,ba,bbaa,aaaaaa,bbbaaa,bbbbaaaa,bbbbbaaaaa a=a,b=bbbbb [11m12s] from: 14256 ab:abab=a,bbbbbb=1 finite:42;idempotents:1,aaa,bab,bba,bbbaab,bbbbaa,bbbbbaaab to: 6101 ab:aab=a,bbbbbb=1 finite:42;idempotents:1,ba,bbaa,aaaaaa,bbbaaa,bbbbaaaa,bbbbbaaaaa a=aa,b=b [11m12s] from: 15364 ab:aba=ab,bbbbbb=1 finite:42;idempotents:1,a,babbbbb,bbabbbb,bbbabbb,bbbbabb,bbbbbab to: 6101 ab:aab=a,bbbbbb=1 finite:42;idempotents:1,ba,bbaa,aaaaaa,bbbaaa,bbbbaaaa,bbbbbaaaaa a=ba,b=b [11m12s] from: 26093 ab:aa=1,abbabbbbb=1 finite:42;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbb to: 14981 ab:aaa=bb,aabaab=1 finite:42;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaa a=baa,b=a [11m12s] # considering finite monoids with 30 elements [11m12s] # considering finite monoids with 28 elements [11m12s] from: 17683 ab:aaaa=1,bbabb=ab finite:244;idempotents:1,bbbbbbbbbbbbbbb,aaabbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbaaa to: 17679 ab:aaaa=1,babbb=ab finite:244;idempotents:1,bbbbbbbbbbbbbbb,aaabbbbbbbbbbbbbbba,aabbbbbbbbbbbbbbbaa,abbbbbbbbbbbbbbbaaa a=aaa,b=b [11m12s] # considering finite monoids with 27 elements [11m12s] from: 26593 ab:aa=1,ababbaba=b finite:50;idempotents:1,bbbbbb;center:1,bbb,ababab,bbbbbb,abababbbb to: 9747 ab:aa=1,abbabba=b finite:50;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=a,b=ab [11m12s] # considering finite monoids with 26 elements [11m12s] from: 4090 ab:baa=abb,aaaa=1 finite:44;idempotents:1,abab,baba to: 3914 ab:aabb=ba,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab a=bbb,b=a [11m12s] from: 11005 ab:abab=bba,bbbb=1 finite:44;idempotents:1,aaaaa,baaaaabbb to: 3914 ab:aabb=ba,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab anti:a=ab,b=bbb [11m12s] from: 11090 ab:babb=aba,bbbb=1 finite:44;idempotents:1,aa,bbbaab to: 3914 ab:aabb=ba,bbbb=1 finite:44;idempotents:1,aaaa,aaabaaab a=aa,b=b [11m12s] # considering finite monoids with 25 elements [11m12s] from: 3947 ab:abab=ba,bbbb=1 finite:64;idempotents:1,aaaa;center:1,aaaa to: 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=bbba,b=b [11m12s] from: 11079 ab:baab=abb,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa to: 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=a,b=bbb [11m12s] from: 17648 ab:aaaa=1,abaab=ba finite:64;idempotents:1,bbbbbb;center:1,bbbbbb to: 1523 ab:aab=ba,bbbb=1 finite:64;idempotents:1,aaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaa a=bbb,b=bba [11m12s] from: 27113 ab:aa=1,abababa=bb finite:64;idempotents:1,bbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb to: 10273 ab:aa=1,ababa=bbb finite:64;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb,abbabbabbabb a=a,b=ab [11m12s] # considering finite monoids with 24 elements [11m12s] from: 2441 ab:aaa=1,abbba=b finite:147;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=aabaaaaa [11m12s] from: 21723 ab:aaa=1,abababa=b finite:147;idempotents:1,bbbbbbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb,bbbbbbbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=abaaaaaaaa [11m12s] from: 22840 ab:aaa=1,babab=aba finite:147;idempotents:1,bbbbbbbb;center:1,bbbb,aabaab,abbbabbb,bbbbbbbb,aabaabbbbb,abbbabbbbbbb to: 1307 ab:bab=aaa,bbb=1 finite:147;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaaaa a=b,b=aaa [11m12s] # considering finite monoids with 23 elements [11m12s] from: 21173 ab:aaa=1,aabbbabb=1 finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=aa,b=b [11m12s] from: 21774 ab:aaa=1,babbabb=a finite:105;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbb to: 7548 ab:aaa=1,bbabbb=a finite:105;center:1,bbbbbbb,bbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbb;group:a-aa,b-bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=ab [11m12s] # considering finite monoids with 22 elements [11m12s] # considering finite monoids with 21 elements [11m12s] # considering finite monoids with 20 elements [11m12s] from: 8084 ab:aaa=1,babb=aba finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,abbabbbbabbbbabbb to: 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb a=a,b=abbab [11m12s] from: 21717 ab:aaa=1,abaabba=b finite:339;idempotents:1,bbbbbb;center:1,bbbbbb,bbbbabbbabbabba to: 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb a=aa,b=abbab [11m12s] from: 22806 ab:aaa=1,abbab=baa finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb to: 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb a=aa,b=aabbab [11m12s] from: 22832 ab:aaa=1,baabb=aba finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb to: 7519 ab:aaa=1,ababba=b finite:339;idempotents:1,bbbbbbbbbbbbbb;center:1,bbbbbbb,bbbbbbbbbbbbbb a=aa,b=b [11m12s] # considering finite monoids with 19 elements [11m12s] from: 5721 ab:aaaa=1,abbbb=b finite:52;idempotents:1,bbba,bbbbbbaa,bbbbbbbbbaaa,bbbbbbbbbbbb to: 3767 ab:aaaa=ab,bbbb=1 finite:52;idempotents:1,bbbaaa,bbaaaaaa,baaaaaaaaa,aaaaaaaaaaaa anti:a=b,b=bba [11m12s] from: 17129 ab:aaaa=1,ababbb=b finite:52;idempotents:1,abbba,bbbaa,bbbbbb,abbbbbbaaa to: 3767 ab:aaaa=ab,bbbb=1 finite:52;idempotents:1,bbbaaa,bbaaaaaa,baaaaaaaaa,aaaaaaaaaaaa anti:a=b,b=aa [11m12s] # considering finite monoids with 18 elements [11m12s] from: 26621 ab:aa=1,abbabbbb=b finite:22;idempotents:1,bbbbb,abbbbba to: 9759 ab:aa=1,abbbbbb=b finite:22;idempotents:1,bbbbba,bbbbbbbbbb a=a,b=ba [11m12s] # considering finite monoids with 17 elements [11m12s] from: 9464 ab:aa=1,ababbbbb=1 finite:48;center:1,bbbb,bbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbbbbbbbbbbb to: 3771 ab:aaaa=bb,abab=1 finite:48;center:1,aaaa,aaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaa,b-baaaaaaaaaaaaaaaaaaaa a=ba,b=a [11m12s] from: 22326 ab:aaa=1,bbbbbb=ab finite:48;idempotents:1,bbbbbaa,bbbbbbbbbba,bbbbbbbbbbbbbbb to: 21751 ab:aaa=1,abbbbbb=b finite:48;idempotents:1,bbbbba,bbbbbbbbbbaa,bbbbbbbbbbbbbbb a=a,b=ba [11m12s] # considering finite monoids with 16 elements [11m12s] from: 1465 ab:aaa=ab,bbbb=1 finite:36;idempotents:1,bbbaa,bbaaaa,baaaaaa,aaaaaaaa to: 1345 ab:aaab=a,bbbb=1 finite:36;idempotents:1,baa,bbaaaa,aaaaaaaa,bbbaaaaaa a=a,b=bbb [11m12s] from: 6946 ab:bb=aa,ababab=1 finite:36;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaa,b-baaaaaaaaaa to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=b,b=abbb [11m12s] from: 7538 ab:aaa=1,baabbb=a finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbbbbbb,b-bbbbbbbbbbb to: 2300 ab:aaa=1,ababbb=1 finite:36;center:1,bb,bbbb,bbbbbb,bbbbbbbb,bbbbbbbbbb;group:a-babbb,b-bbbbbbbbbbb a=a,b=ab [11m12s] from: 12995 ab:abb=aaa,bbbb=b finite:36;idempotents:1,bbb,aaaaaa,bbaaaa,baaaaaaaa,bbbaaaaaa to: 5073 ab:aaa=ab,bbbb=b finite:36;idempotents:1,bbb,baaaa,aaaaaa,bbbaaaaaa,bbaaaaaaaa a=a,b=bb [11m12s] # considering finite monoids with 15 elements [11m12s] from: 4695 ab:aaab=b,bbab=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb to: 4691 ab:aaab=b,babb=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb a=aa,b=b [11m12s] from: 4727 ab:aaba=b,babb=a finite:28;idempotents:1,aaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa to: 4691 ab:aaab=b,babb=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb a=b,b=aab [11m12s] from: 4730 ab:aaba=b,bbab=a finite:28;idempotents:1,aaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa to: 4691 ab:aaab=b,babb=a finite:28;idempotents:1,bbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb a=b,b=aabb [11m12s] from: 14344 ab:aaaa=a,aabbb=b finite:28;idempotents:1,aaa,bbaa,bbbba,bbbbbb,bbbbbbaaa to: 4625 ab:aaaa=a,abbb=b finite:28;idempotents:1,aaa,bba,bbbbaa,bbbbbb,bbbbbbaaa a=a,b=bbbbb [11m12s] from: 14348 ab:aaaa=a,ababa=b finite:28;idempotents:1,aaa,bbbb;center:1,bb,aaa,bbbb to: 4623 ab:aaaa=a,abba=b finite:28;idempotents:1,aaa,ababab;center:1,aaa,bbb,ababab a=a,b=aab [11m12s] # considering finite monoids with 14 elements [11m12s] from: 3884 ab:aaba=bb,bbbb=1 finite:60;center:1,aaaa,aaaaaaaa;group:a-aaaaaaaaaaa,b-aaabaaa to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bbba,b=b [11m12s] from: 5432 ab:aaaa=1,aababb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-bbbabbb,b-bbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bbb,b=ba [11m12s] from: 5724 ab:aaaa=1,baabb=a finite:60;center:1,bbbb,bbbbbbbb;group:a-babbbbb,b-bbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bbb,b=bbba [11m12s] from: 11916 ab:aaba=bb,aaaaa=1 finite:60;idempotents:1,babaabaaa;center:1,babaabaaa to: 11604 ab:baabb=a,bbbbb=1 finite:60;idempotents:1,abbabbbabbbb;center:1,abbabbbabbbb a=b,b=ab [11m12s] from: 11996 ab:aabb=ba,aaaaa=1 finite:60;idempotents:1,babaaabaaaa;center:1,babaaabaaaa to: 11604 ab:baabb=a,bbbbb=1 finite:60;idempotents:1,abbabbbabbbb;center:1,abbabbbabbbb a=bbb,b=a [11m12s] from: 12824 ab:baa=abb,aaaaa=1 finite:60;idempotents:1,bbbbb;center:1,bbbbb to: 11604 ab:baabb=a,bbbbb=1 finite:60;idempotents:1,abbabbbabbbb;center:1,abbabbbabbbb a=bbb,b=ab [11m12s] from: 14092 ab:aaba=b,abbabb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbbaaaaa to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=a,b=ba [11m12s] from: 17144 ab:aaaa=1,baabab=a finite:60;center:1,bb,bbbb;group:a-aaa,b-bbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bbb,b=bba [11m12s] from: 26067 ab:aa=1,ababbabbb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bb,b=ba [11m12s] from: 26070 ab:aa=1,ababbbabb=1 finite:60;center:1,bbbb,bbbbbbbb;group:a-a,b-bbbbbbbbbbb to: 1385 ab:aaba=b,bbbb=1 finite:60;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-bbb a=bb,b=bbba [11m12s] # considering finite monoids with 13 elements [11m12s] # considering finite monoids with 12 elements [11m12s] from: 7051 ab:bb=aa,ababa=b finite:26;idempotents:1,aaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa to: 5088 ab:aaa=bb,baab=a finite:26;idempotents:1,aaaaaaaaaaaa;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa a=b,b=baa [11m12s] from: 10000 ab:aa=1,ababab=bb finite:26;idempotents:1,bbbb,abbbba to: 3645 ab:aa=1,abab=bbb finite:26;idempotents:1,bbbbbb,abbbbbba a=a,b=ab [11m12s] # considering finite monoids with 11 elements [11m12s] from: 2570 ab:aaa=1,aaba=bb finite:24;idempotents:1,bbbbbbb;center:1,bbbbbbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=bb,b=a [11m12s] from: 2577 ab:aaa=1,abab=ba finite:24;idempotents:1,bbb;center:1,bbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=bb,b=ba [11m12s] from: 7784 ab:aaa=1,abaab=ba finite:24;idempotents:1,bbb;center:1,bbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=bb,b=bba [11m12s] from: 13479 ab:aaabb=1,bababa=1 finite:24;center:1,bb;group:a-aabb,b-bbb to: 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=aaba [11m12s] from: 14300 ab:abba=b,aaabbb=1 finite:24;center:1,aaa;group:a-aaaaa,b-aabaaaaa to: 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a=a,b=ab [11m12s] from: 14311 ab:abba=b,ababab=1 finite:24;center:1,bbb;group:a-bbabbbbb,b-bbbbb to: 11515 ab:ababa=b,abbaa=1 finite:24;center:1,aaa;group:a-aaaaa,b-baaa a=aa,b=aab [11m12s] from: 18631 ab:aba=b,aaabbbb=1 finite:24;center:1,bb,aaa,bbaaa;group:a-aaaaa,b-bbbaaa to: 5009 ab:aba=bb,aabbb=1 finite:24;center:1,bbb,bbbbbb,bbbbbbbbb;group:a-abbb,b-bbbbbbbbbbb a=bb,b=a [11m12s] from: 21683 ab:aaa=1,aabaaba=b finite:24;idempotents:1,bbb;center:1,bbb to: 425 ab:aab=ba,bbb=1 finite:24;idempotents:1,aaaaaaa;center:1,aaaaaaa a=b,b=ba [11m12s] # considering finite monoids with 10 elements [11m12s] from: 12060 ab:abab=ba,aaaaa=1 finite:160;idempotents:1,bbbbb;center:1,bbbbb to: 4917 ab:aab=ba,bbbbb=1 finite:160;idempotents:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa;center:1,aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa a=bbbb,b=ab [11m12s] # considering finite monoids with 9 elements [11m12s] from: 747 ab:aaa=1,abba=b finite:27;idempotents:1,ababab;center:1,bbb,ababab to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=abbab [11m12s] from: 1310 ab:bab=aba,bbb=1 finite:27;idempotents:1,aaa;center:1,aaa,bbabba to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=abb,b=b [11m12s] from: 2292 ab:aaa=1,aabbab=1 finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=aa,b=b [11m12s] from: 2435 ab:aaa=1,ababa=b finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=abba [11m12s] from: 7513 ab:aaa=1,abaaba=b finite:27;idempotents:1,bbb;center:1,bbb,baba to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=abbabb [11m12s] from: 8078 ab:aaa=1,baab=aba finite:27;idempotents:1,bbbb;center:1,bb,bbbb to: 450 ab:bab=aa,bbb=1 finite:27;idempotents:1,abbabbabb;center:1,abab,abbabbabb a=b,b=ab [11m12s] from: 14072 ab:aaba=b,aaabbb=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaa to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=aabb [11m12s] from: 14078 ab:aaba=b,aabbab=1 finite:27;center:1,aaa,aaaaaa;group:a-aaaaaaaa,b-bbaaaaaa to: 752 ab:aaa=1,babb=a finite:27;center:1,bbb,bbbbbb;group:a-aa,b-bbbbbbbb a=b,b=aab [11m12s] # considering finite monoids with 8 elements [11m12s] from: 11088 ab:babb=aaa,bbbb=1 finite:148;idempotents:1,aaaaaaaa,aaaaaabaaaaaab to: 10767 ab:aaab=bba,bbbb=1 finite:148;idempotents:1,baabaa,aaaaaaaa anti:a=a,b=bbb [11m12s] from: 17644 ab:aaaa=1,aabbb=ba finite:148;idempotents:1,bbbbbbbb,abbbbbbabbbbbb to: 10767 ab:aaab=bba,bbbb=1 finite:148;idempotents:1,baabaa,aaaaaaaa a=b,b=ab [11m12s] # considering finite monoids with 7 elements [11m12s] from: 14792 ab:abab=a,bbbbb=b finite:25;idempotents:1,aa,bab,bba,bbbb,bbbaab,bbbbaa to: 6381 ab:aab=a,bbbbb=b finite:25;idempotents:1,ba,aaaa,bbaa,bbbb,bbbaaa,bbbbaaaa a=aa,b=b [11m12s] from: 19218 ab:aba=b,baabbb=a finite:25;idempotents:1,aaaaaa;center:1,bb,aaa,bbaaa,aaaaaa to: 14869 ab:abba=b,bbabb=a finite:25;idempotents:1,bbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb a=bb,b=a [11m12s] # considering finite monoids with 6 elements [11m12s] from: 749 ab:aaa=1,abbb=b finite:21;idempotents:1,bba,bbbbaa,bbbbbb to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=bba [11m12s] from: 2590 ab:aaa=1,babb=ab finite:21;idempotents:1,bb,aabba,abbaa to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa anti:a=b,b=ba [11m12s] from: 18729 ab:aaa=a,ababbb=b finite:21;idempotents:1,aa,bbb,abbba,bbbaa to: 6265 ab:aaa=a,abbbb=b finite:21;idempotents:1,aa,bbba,bbbbbb,bbbbbbaa a=a,b=bb [11m12s] from: 22804 ab:aaa=1,abbab=aba finite:21;idempotents:1,bb,aabba,abbaa to: 402 ab:aaa=ab,bbb=1 finite:21;idempotents:1,bbaa,baaaa,aaaaaa a=b,b=ba [11m12s] # considering finite monoids with 5 elements [11m12s] from: 2155 ab:ab=aa,bbbbb=1 finite:30;idempotents:1,aaaaa,baaaa,bbaaa,bbbaa,bbbba to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a=a,b=bbbb [11m12s] from: 2594 ab:aaa=1,bbbb=ab finite:30;idempotents:1,bbbaa,bbbbbba,bbbbbbbbb to: 2443 ab:aaa=1,abbbb=b finite:30;idempotents:1,bbba,bbbbbbaa,bbbbbbbbb a=a,b=bb [11m12s] from: 3241 ab:aa=1,ababbbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-a,b-bbbbbbbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=ba,b=a [11m12s] from: 4541 ab:aabb=a,bbbbb=1 finite:30;idempotents:1,bba,baaa,aaaaa,bbbbaa,bbbaaaa to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a=a,b=bbb [11m12s] from: 4918 ab:aab=bb,aaaaa=1 finite:30;idempotents:1,bba,baaa,bbbbb,bbbbaa,bbbaaaa to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa anti:a=b,b=aaa [11m12s] from: 5001 ab:aba=ab,bbbbb=1 finite:30;idempotents:1,a,babbbb,bbabbb,bbbabb,bbbbab to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa a=ba,b=b [11m12s] from: 9458 ab:aa=1,abababbb=1 finite:30;center:1,bb,bbbb,bbbbbb,bbbbbbbb;group:a-a,b-bbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=ba,b=b [11m12s] from: 12756 ab:abb=aab,aaaaa=1 finite:30;idempotents:1,baaaa,bbaaa,bbbaa,bbbba,bbbbb to: 1907 ab:aab=a,bbbbb=1 finite:30;idempotents:1,ba,bbaa,aaaaa,bbbaaa,bbbbaaaa anti:a=b,b=bba [11m12s] from: 12847 ab:bab=aaa,aabbb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbb,b-bbbbbbbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=b,b=aaaa [11m12s] from: 15387 ab:aba=bb,abbabb=1 finite:30;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb;group:a-abbbbbbbbb,b-bbbbbbbbbbbbbb to: 1470 ab:aaa=bb,abab=1 finite:30;center:1,aaa,aaaaaa,aaaaaaaaa,aaaaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-baaaaaaaaaaaa a=b,b=aaaaaaaa [11m12s] # considering finite monoids with 4 elements [11m12s] from: 5002 ab:aba=bb,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 4594 ab:abba=b,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=bbbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] from: 11612 ab:babab=a,bbbbb=1 finite:605;idempotents:1,aaaaaaaaaaaaaaaaaaaa;center:1,aa,aaaa,aaaaaa,aaaaaaaa,aaaaaaaaaa,aaaaaaaaaaaa,aaaaaaaaaaaaaa,aaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaa to: 4594 ab:abba=b,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=abb,b=a [11m12s] from: 12860 ab:bab=aba,aaaaa=1 finite:605;idempotents:1,bbbbb;center:1,bbbbb,aabaab,aaaabaabbaab,aaabaaabbaabb,aaaabbbaaaabbb,aaabbaabbbaabb,aaabbaaabbaaabb,aaabbaaabbbaabbb,aaaabbaaabbbaaabb,aaaabaaaabbbaaabbb to: 4594 ab:abba=b,aaaaa=1 finite:605;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbb,bbbbbb,bbbbbbbbb,bbbbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=aabbbbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] # considering finite monoids with 3 elements [11m12s] from: 2091 ab:aba=a,aabb=b finite:3;idempotents:1,a,b to: 63 ab:ab=a,ba=b finite:3;idempotents:1,a,b anti:a=a,b=b [11m12s] # considering finite monoids with 2 elements [11m12s] from: 11445 ab:aabba=b,bbbbb=1 finite:165;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-aabaaaabaaa to: 4509 ab:aaba=b,bbbbb=1 finite:165;center:1,aaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbb a=bbbba,b=bbb [11m12s] from: 11947 ab:aaba=bb,bbbbb=1 finite:165;center:1,aaaaa,aaaaaaaaaa;group:a-aaaaaaaaaaaaaa,b-abaabaaa to: 4509 ab:aaba=b,bbbbb=1 finite:165;center:1,aaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbb a=ba,b=bbb [11m12s] from: 13283 ab:aaaaa=1,aababb=1 finite:165;center:1,bbbbb,bbbbbbbbbb;group:a-ababb,b-bbbbbbbbbbbbbb to: 4509 ab:aaba=b,bbbbb=1 finite:165;center:1,aaaaaaaaaaa,aaaaaaaaaaaaaaaaaaaaaa;group:a-aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa,b-bbbb a=bbbb,b=ba [11m12s] from: 587 ab:aab=a,baa=b finite:5;idempotents:1,aa,ba to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=a,b=ba [11m12s] from: 592 ab:aab=b,aba=a finite:5;idempotents:1,aa,ab to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa anti:a=a,b=ba [11m12s] from: 1619 ab:aab=aa,bba=b finite:5;idempotents:1,b,aa,ab to: 1019 ab:ab=a,bba=bb finite:5;idempotents:1,a,ba,bb a=b,b=a [11m12s] from: 2056 ab:aab=b,aaba=a finite:5;idempotents:1,b,aa to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa anti:a=a,b=b [11m12s] from: 14704 ab:aabb=a,baabb=b finite:5;idempotents:1,a,bb to: 268 ab:ab=a,baa=b finite:5;idempotents:1,b,aa a=b,b=a [11m12s] from: 9731 ab:aa=1,abababa=b finite:18;idempotents:1,bbbb;center:1,bb,bbbb to: 1121 ab:aa=1,abbba=b finite:18;idempotents:1,bbbbbbbb;center:1,bbbb,bbbbbbbb a=a,b=ab [11m12s] from: 8092 ab:aaa=1,bbbb=aba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7529 ab:aaa=1,abbbba=b finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=abbbbbbbbbbbbbbbbbbbbbbbbbb [11m12s] from: 22854 ab:aaa=1,bbabb=aba finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,abbbabbb,bbbbbbbbbb,abbbabbbbbbbb,bbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,abbbabbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb to: 7529 ab:aaa=1,abbbba=b finite:1083;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb;center:1,bbbbb,bbbbbbbbbb,bbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb,bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb a=a,b=abbbbbbbbbbbbbbbbbbbbbb [11m12s] from: 6520 ab:aba=b,babbb=a finite:17;idempotents:1,aaaa;center:1,aa,bb,aaaa,bbaa to: 6428 ab:aab=b,babbb=a finite:17;idempotents:1,bbbbbbbb;center:1,bb,bbbb,bbbbbb,bbbbbbbb a=abb,b=b [11m12s] from: 14796 ab:abba=a,aaaab=b finite:17;idempotents:1,bba,bbbbbbbb to: 14698 ab:aabb=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb anti:a=a,b=b [11m12s] from: 19020 ab:aab=b,abbbba=a finite:17;idempotents:1,bbbba,bbbbbbbb to: 14698 ab:aabb=a,baaaa=b finite:17;idempotents:1,abb,bbbbbbbb anti:a=bbbb,b=ab [11m12s] from: 91 ab:aa=1,abb=b finite:6;idempotents:1,ba,bb to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba anti:a=b,b=a [11m12s] from: 328 ab:aa=1,abab=b finite:6;idempotents:1,b,aba to: 22 ab:ab=aa,bb=1 finite:6;idempotents:1,aa,ba anti:a=b,b=aa [11m12s] from: 958 ab:aa=a,aab=bb finite:6;idempotents:1,a,bb,bba to: 160 ab:ab=aa,bb=b finite:6;idempotents:1,b,aa,baa anti:a=b,b=a [11m12s] from: 1661 ab:aba=aa,baa=b finite:6;idempotents:1,b,aa to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb a=a,b=bb [11m12s] from: 5229 ab:aba=aa,aabb=b finite:6;idempotents:1,b,aa to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb anti:a=a,b=bb [11m12s] from: 6670 ab:aab=b,aaba=aa finite:6;idempotents:1,ba,bb to: 639 ab:ab=aa,baa=b finite:6;idempotents:1,ab,bb anti:a=a,b=b [11m12s] from: 617 ab:ab=aa,bbbb=1 finite:20;idempotents:1,aaaa,baaa,bbaa,bbba to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=a,b=bbb [11m12s] from: 1412 ab:abab=a,bbbb=1 finite:20;idempotents:1,aa,bab,bba,bbbaab to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=aa,b=b [11m12s] from: 1565 ab:aba=ab,bbbb=1 finite:20;idempotents:1,a,babbb,bbabb,bbbab to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa a=ba,b=b [11m12s] from: 4054 ab:abb=aab,aaaa=1 finite:20;idempotents:1,baaa,bbaa,bbba,bbbb to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa anti:a=b,b=aaa [11m12s] from: 5190 ab:aab=bb,aaaa=a finite:20;idempotents:1,aaa,bbb,bbaa,bbbba,bbbaaa to: 2207 ab:ab=aa,bbbb=b finite:20;idempotents:1,aaa,baa,bbb,bbaaaa,bbbaaa anti:a=bb,b=a [11m12s] from: 15164 ab:aab=ba,abbabb=1 finite:20;group:a-aaaa,b-bbb to: 4095 ab:baa=abb,abab=1 finite:20;group:a-aaa,b-aba a=aaab,b=a [11m12s] from: 17099 ab:aaaa=1,aaabab=b finite:20;idempotents:1,b,aaaba,aabaa,abaaa to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa anti:a=b,b=ba [11m12s] from: 17635 ab:aaaa=1,aabab=ab finite:20;idempotents:1,bb,aba,baa,abbaaa to: 526 ab:aab=a,bbbb=1 finite:20;idempotents:1,ba,aaaa,bbaa,bbbaaa anti:a=b,b=aa [11m12s] from: 1044 ab:aa=1,ababbb=1 finite:16;center:1,bb,bbbb,bbbbbb;group:a-a,b-bbbbbbb to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=ba,b=a [11m12s] from: 4101 ab:bab=aaa,aabb=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=a,b=baa [11m12s] from: 4619 ab:aaaa=a,aabb=b finite:16;idempotents:1,aaa,baa,bba,bbb,bbbaaa to: 2051 ab:aab=a,bbbb=b finite:16;idempotents:1,ba,aaa,bbb,bbaa,bbbaaa anti:a=b,b=aa [11m12s] from: 6216 ab:aba=b,aabbbb=1 finite:16;center:1,aa,bb,bbaa;group:a-aaa,b-bbbaa to: 628 ab:bb=aa,abab=1 finite:16;center:1,aa,aaaa,aaaaaa;group:a-aaaaaaa,b-baaaaaa a=baaa,b=a [11m12s] from: 14340 ab:aaaa=a,aabab=b finite:16;idempotents:1,b,aaa,aaba,abaa,baaa to: 2051 ab:aab=a,bbbb=b finite:16;idempotents:1,ba,aaa,bbb,bbaa,bbbaaa anti:a=b,b=aaa [11m12s] from: 15765 ab:aab=bb,abbba=a finite:16;idempotents:1,aaaaab,aaaaaaa to: 12306 ab:aaab=bb,abba=a finite:16;idempotents:1,aaaab,aaaaaaa a=aaaaa,b=b [11m12s] from: 15480 ab:aaa=ab,baabb=b finite:15;idempotents:1,baaaa,aaaaaa to: 12985 ab:abb=aaa,baba=b finite:15;idempotents:1,baa,aaaaaa a=a,b=baaaa [11m12s] from: 2037 ab:aab=a,baaa=b finite:7;idempotents:1,ba,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=baa [11m12s] from: 2087 ab:aba=a,aaab=b finite:7;idempotents:1,ab,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa anti:a=a,b=baa [11m12s] from: 2274 ab:bb=aa,aab=ab finite:7;idempotents:1,bbbb;center:1,ba,bb,bbb,bbbb to: 2271 ab:bb=aa,aaa=ab finite:7;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa anti:a=b,b=a [11m12s] from: 4133 ab:aba=aaa,abb=b finite:7;idempotents:1,ab,aaaa to: 1593 ab:aaa=ab,baa=b finite:7;idempotents:1,b,aaaa anti:a=a,b=ba [11m12s] from: 4135 ab:aba=aaa,baa=b finite:7;idempotents:1,ba,aaaa to: 1593 ab:aaa=ab,baa=b finite:7;idempotents:1,b,aaaa a=a,b=ba [11m12s] from: 4662 ab:aaab=a,baaa=b finite:7;idempotents:1,aaa,baa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa a=a,b=ba [11m12s] from: 4675 ab:aaab=b,aaba=a finite:7;idempotents:1,aaa,aab to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa anti:a=a,b=ba [11m12s] from: 14477 ab:aaab=b,aaaba=a finite:7;idempotents:1,b,aaa to: 937 ab:ab=a,baaa=b finite:7;idempotents:1,b,aaa anti:a=a,b=b [11m12s] from: 18707 ab:aaa=a,aababa=b finite:7;idempotents:1,b,aa,aba;center:1,aa to: 6251 ab:aaa=a,aabba=b finite:7;idempotents:1,aa,ab,bb;center:1,aa a=a,b=ab [11m12s] from: 20064 ab:aab=b,aaba=aaa finite:7;idempotents:1,b,aaaa to: 1593 ab:aaa=ab,baa=b finite:7;idempotents:1,b,aaaa anti:a=a,b=b [11m12s] from: 6410 ab:aab=b,abbba=a finite:13;idempotents:1,bbba,bbbbbb to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb a=bbb,b=ba [11m12s] from: 14485 ab:aaab=b,aabba=a finite:13;idempotents:1,bbbba,bbbbbb to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb a=a,b=bbbbb [11m12s] from: 16075 ab:aaa=bb,babb=ab finite:13;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,baaa,aaaaa,baaaa,aaaaaa,baaaaa to: 16069 ab:aaa=bb,abbb=ba finite:13;idempotents:1,bbbb;center:1,bb,aab,abb,bbb,aabb,abbb,bbbb,aabbb anti:a=a,b=b [11m12s] from: 16269 ab:aab=ba,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,abbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 16205 ab:aab=ab,bbbb=aa finite:13;idempotents:1,bbbbbbbb;center:1,bbba,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb anti:a=a,b=b [11m12s] from: 19004 ab:aab=b,ababba=a finite:13;idempotents:1,aa,bbb to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb a=bbb,b=a [11m12s] from: 19991 ab:aab=a,baaa=bbb finite:13;idempotents:1,ab,bbbbb to: 5065 ab:aaa=ab,babb=b finite:13;idempotents:1,baaa,aaaaa a=baa,b=a [11m12s] from: 24461 ab:ab=a,baaaaaa=b finite:13;idempotents:1,b,aaaaaa to: 4683 ab:aaab=b,abba=a finite:13;idempotents:1,bba,bbbbbb anti:a=b,b=bba [11m12s] from: 1989 ab:aaa=a,abab=b finite:9;idempotents:1,b,aa,aba,baa to: 568 ab:aaa=a,abb=b finite:9;idempotents:1,aa,ba,bb,bbaa a=a,b=bb [11m12s] from: 2969 ab:ab=a,baaaa=b finite:9;idempotents:1,b,aaaa to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb anti:a=b,b=bba [11m12s] from: 6257 ab:aaa=a,ababa=b finite:9;idempotents:1,aa,bb;center:1,aa,bb to: 1991 ab:aaa=a,abba=b finite:9;idempotents:1,aa,bbb;center:1,aa,bbb a=a,b=ab [11m12s] from: 6351 ab:aab=a,baaaa=b finite:9;idempotents:1,ba,aaaa to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb anti:a=b,b=ba [11m12s] from: 6449 ab:aba=a,aaaab=b finite:9;idempotents:1,ab,aaaa to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb a=b,b=ba [11m12s] from: 7151 ab:bb=aa,aabb=ba finite:9;idempotents:1,aaaa;center:1,aa,ab,aaa,aaaa,aaaaa,aaaaaa to: 7139 ab:bb=aa,aaaa=ab finite:9;idempotents:1,aaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa a=b,b=a [11m12s] from: 12915 ab:aba=aaa,aaab=b finite:9;idempotents:1,aaa,aab to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa anti:a=a,b=baa [11m12s] from: 12967 ab:abb=aaa,aaab=b finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a6=a3,a3b=b,b2=a5;saturation:a:a6=1;noncancellative:aa,aaaaa,ab,b;smith:6 to: 5079 ab:aaa=bb,aaba=b finite:9;idempotents:1,bb;center:1,a,b,aa,ab,bb,aab,abb,aabb;commutative:ab:b3=b,a3=b2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 a=a,b=ab [11m12s] from: 14442 ab:aaab=a,baaaa=b finite:9;idempotents:1,baa,aaaa to: 2064 ab:aab=b,abba=a finite:9;idempotents:1,bba,bbbb anti:a=b,b=a [11m12s] from: 20080 ab:aab=b,abaa=aaa finite:9;idempotents:1,b,aba,aaaa to: 4125 ab:aab=aaa,baa=b finite:9;idempotents:1,ab,bb,aabb anti:a=a,b=bb [11m12s] from: 20136 ab:aab=b,babb=aaa finite:9;idempotents:1,aaaa;center:1,a,b,aa,ba,bb,aaa,bba,aaaa;commutative:ab:b4=b,a2b=b,a3=ab3;saturation:ab:b2=1,a3=1;noncancellative:aa,1,ab,ab;smith:6 to: 6824 ab:aab=b,bbb=aaa finite:9;idempotents:1,bbbbbb;center:1,a,b,aa,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a5=a3;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 a=a,b=bb [11m12s] from: 20213 ab:aba=a,abab=bbb finite:9;idempotents:1,ba,bbb to: 1595 ab:aaa=ab,bab=b finite:9;idempotents:1,ba,aaa anti:a=b,b=a [11m12s] from: 3377 ab:aa=1,ababbb=b finite:14;idempotents:1,bbb,abbba to: 1123 ab:aa=1,abbbb=b finite:14;idempotents:1,bbba,bbbbbb a=a,b=ba [11m12s] from: 12503 ab:abab=aa,baaa=b finite:14;idempotents:1,bb,aaa to: 5218 ab:aab=bb,bbba=a finite:14;idempotents:1,aaaab,aaaaaa anti:a=b,b=aaa [11m12s] from: 15578 ab:aab=aa,baaaa=b finite:14;idempotents:1,b,aaaa,abaaa to: 12441 ab:aabb=aa,baab=b finite:14;idempotents:1,aba,baa,aaaa a=a,b=baa [11m12s] from: 19592 ab:aab=b,babba=aa finite:14;idempotents:1,aa,bbb to: 6718 ab:aab=b,bbba=aa finite:14;idempotents:1,bbba,bbbbbb a=a,b=bb [11m12s] from: 20044 ab:aab=a,bbbb=baa finite:14;idempotents:1,ab,bbbbb to: 12183 ab:aaaa=ab,baab=b finite:14;idempotents:1,baa,aaaaa a=ba,b=a [11m12s] from: 5061 ab:aaa=ab,baab=b finite:11;idempotents:1,baa,aaaa to: 4155 ab:abb=aaa,bba=b finite:11;idempotents:1,ba,aaaa a=a,b=baaa [11m12s] from: 12227 ab:aaab=aa,baaa=b finite:11;idempotents:1,ab,bbb,aabb to: 5111 ab:aab=aa,baaa=b finite:11;idempotents:1,b,aaa,abaa a=a,b=baa [11m12s] from: 12308 ab:aaab=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:b5=b2,ab3=a,a3=b4;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 to: 5086 ab:aaa=bb,abbb=a finite:11;idempotents:1,aaaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa,aaaaaaaaa;commutative:ab:a3=b2,ab3=a,b5=b2;saturation:a:a9=1;noncancellative:bbb,1,ab,ab;smith:9 a=aa,b=b [11m12s] from: 14456 ab:aaab=a,babbb=b finite:11;idempotents:1,baa,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=baaa [11m12s] from: 14568 ab:aaba=a,abbbb=b finite:11;idempotents:1,aab,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa anti:a=a,b=baaa [11m12s] from: 14700 ab:aabb=a,baaab=b finite:11;idempotents:1,baaa,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=baa [11m12s] from: 14800 ab:abba=a,aaabb=b finite:11;idempotents:1,aaab,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa anti:a=a,b=baa [11m12s] from: 16049 ab:aaa=bb,aaab=ab finite:11;idempotents:1,bbbb;center:1,bb,baa,bbb,bbbb,bbbbb,bbbbbb to: 5335 ab:aaa=ab,bbb=aa finite:11;idempotents:1,aaaa;center:1,aa,aaa,bba,aaaa,aaaaa,aaaaaa anti:a=b,b=a [11m12s] from: 18897 ab:aab=a,baaaaa=b finite:11;idempotents:1,ba,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa a=a,b=baaaa [11m12s] from: 19091 ab:aba=a,aaaaab=b finite:11;idempotents:1,ab,aaaaa to: 8777 ab:ab=a,baaaaa=b finite:11;idempotents:1,b,aaaaa anti:a=a,b=baaaa [11m12s] from: 20888 ab:bb=aa,aaaab=ab finite:11;idempotents:1,bbbbbb;center:1,ba,bb,bbb,bbbb,bbbbb,bbbbbb,bbbbbbb,bbbbbbbb to: 20885 ab:bb=aa,aaaaa=ab finite:11;idempotents:1,aaaaaa;center:1,aa,ba,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa anti:a=b,b=a [11m12s] from: 1115 ab:aa=1,ababa=b finite:8;idempotents:1,bb;center:1,bb to: 330 ab:aa=1,abba=b finite:8;idempotents:1,bbb;center:1,bbb a=a,b=ab [11m12s] from: 2193 ab:ab=aa,baaa=b finite:8;idempotents:1,abb,bbb to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa anti:a=b,b=aa [11m12s] from: 5204 ab:aab=bb,abbb=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b5=b2,ab3=a,a2=b4;saturation:a:a6=1;noncancellative:bbbb,b,ab,abb;smith:6 to: 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a=aaaaa,b=b [11m12s] from: 5225 ab:aba=aa,aaab=b finite:8;idempotents:1,b,aaa to: 1650 ab:aab=bb,baa=a finite:8;idempotents:1,ab,aaa a=b,b=aaa [11m12s] from: 6649 ab:aab=a,bbaa=bb finite:8;idempotents:1,aa,ba,bb to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba a=ba,b=a [11m12s] from: 6678 ab:aab=b,abaa=aa finite:8;idempotents:1,aa,ba,bb to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba anti:a=a,b=ba [11m12s] from: 6690 ab:aab=b,abbb=aa finite:8;idempotents:1,bbbbbb;center:1,a,b,bb,bbb,bbbb,bbbbb,bbbbbb;commutative:ab:a2b=b,b3=a3,a4=a2;saturation:a:a6=1;noncancellative:aa,1,ab,ab;smith:6 to: 1606 ab:aaa=bb,bab=a finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,baaa;commutative:ab:a4=a,b2=a3;saturation:ab:b2=1,a3=1;noncancellative:aaa,1,ab,ab;smith:6 a=b,b=ba [11m12s] from: 12431 ab:aabb=aa,abaa=b finite:8;idempotents:1,aaa;center:1,a,b,aa,ba,aaa,baa,aaaa;commutative:ab:b3=b,a3=b2,a2b2=a2;saturation:ab:b2=1,a3=1;noncancellative:bb,1,ab,ab;smith:6 to: 2220 ab:bb=aa,aaab=a finite:8;idempotents:1,aaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa;commutative:ab:b2=a2,a3b=a,a5=ab;saturation:a:a6=1;noncancellative:aab,1,ab,ab;smith:6 a=b,b=aaa [11m12s] from: 12451 ab:aabb=aa,bbba=b finite:8;idempotents:1,aa,bb,abb to: 3123 ab:ab=a,bbaa=bb finite:8;idempotents:1,aa,bb,baa a=b,b=a [11m12s] from: 19520 ab:aab=b,aabaa=aa finite:8;idempotents:1,b,aa,aba to: 1615 ab:aab=aa,baa=b finite:8;idempotents:1,b,aa,aba anti:a=a,b=b [11m12s] from: 20050 ab:aab=b,aaaa=aba finite:8;idempotents:1,b,aaaa to: 6664 ab:aab=b,aaaa=ba finite:8;idempotents:1,ab,aaaa a=a,b=ab [11m12s] from: 5347 ab:aaa=bb,abb=ba finite:10;idempotents:1,aaaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa to: 5346 ab:aaa=bb,abb=ab finite:10;idempotents:1,aaaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa anti:a=a,b=b [11m12s] from: 6983 ab:ab=aa,baaaa=b finite:10;idempotents:1,abbb,bbbb to: 6633 ab:aab=a,baaa=bb finite:10;idempotents:1,ba,aaaa a=b,b=aaa [11m12s] from: 12505 ab:abab=aa,baab=b finite:10;idempotents:1,baa,aaaa to: 6633 ab:aab=a,baaa=bb finite:10;idempotents:1,ba,aaaa a=b,b=aa [11m12s] from: 15767 ab:aab=bb,abbbb=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b6=b2,ab4=a,a2=b5;saturation:a:a8=1;noncancellative:bbbbb,b,ab,abb;smith:8 to: 12196 ab:aaaa=bb,aaab=a finite:10;idempotents:1,aaaaaaaa;center:1,a,b,aa,aaa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa;commutative:ab:b3=a2,a3b=a,a4=b2;saturation:a:a8=1;noncancellative:aab,1,ab,ab;smith:8 a=aaa,b=b [11m12s] from: 15804 ab:aba=aa,aaaab=b finite:10;idempotents:1,b,aaaa to: 6633 ab:aab=a,baaa=bb finite:10;idempotents:1,ba,aaaa anti:a=b,b=aaaa [11m12s] from: 20045 ab:aab=a,bbbb=bab finite:10;idempotents:1,ab,bbbbbb to: 12181 ab:aaaa=ab,baaa=b finite:10;idempotents:1,b,aaaaaa a=baa,b=a [11m12s] from: 150 ab:ab=aa,bbb=1 finite:12;idempotents:1,aaa,baa,bba to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=a,b=bb [11m12s] from: 440 ab:aba=ab,bbb=1 finite:12;idempotents:1,a,babb,bbab to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa a=ba,b=b [11m12s] from: 743 ab:aaa=1,aabb=b finite:12;idempotents:1,baa,bba,bbb to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=aa [11m12s] from: 2427 ab:aaa=1,aabab=b finite:12;idempotents:1,b,aaba,abaa to: 124 ab:aab=a,bbb=1 finite:12;idempotents:1,ba,aaa,bbaa anti:a=b,b=ba [11m12s] from: 4111 ab:bab=aba,aabb=1 finite:12;center:1,aa;group:a-aaa,b-aab to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=b,b=baa [11m12s] from: 6532 ab:aaa=a,aaab=bb finite:12;idempotents:1,aa,bb,bbaa,bbba to: 645 ab:ab=aa,bbb=b finite:12;idempotents:1,aa,bb,baaa,bbaa anti:a=b,b=a [11m12s] from: 6760 ab:aba=a,bbbb=ab finite:12;idempotents:1,ba,bbbb to: 6660 ab:aab=a,bbbb=ba finite:12;idempotents:1,ab,bbbb anti:a=a,b=b [11m12s] from: 12155 ab:aaaa=aa,abab=b finite:12;idempotents:1,b,aa,aba,baa,abaaa to: 6661 ab:aab=a,bbbb=bb finite:12;idempotents:1,aa,ba,bb,bbaa,bbba anti:a=b,b=aa [11m12s] from: 12298 ab:aaab=bb,aaba=a finite:12;idempotents:1,aab,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa a=aaaa,b=b [11m12s] from: 15160 ab:aab=ba,ababbb=1 finite:12;center:1,bb;group:a-aa,b-bbb to: 1963 ab:aba=b,aaabb=1 finite:12;center:1,aaa;group:a-aaaaa,b-baaa a=aa,b=b [11m12s] from: 16058 ab:aaa=bb,aabb=ba finite:12;idempotents:1,aaaaa;center:1,aaa,aab,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa to: 16057 ab:aaa=bb,aabb=ab finite:12;idempotents:1,aaaaa;center:1,aaa,baa,aaaa,aaaaa,aaaaaa,aaaaaaa,aaaaaaaa anti:a=a,b=b [11m12s] from: 19443 ab:aab=a,baaaa=bb finite:12;idempotents:1,ba,aaaaa to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa anti:a=aaa,b=b [11m12s] from: 20023 ab:aab=a,bbaa=bbb finite:12;idempotents:1,ba,aaa,bbaa to: 12897 ab:aab=aaa,baaa=b finite:12;idempotents:1,aab,abb,bbb a=bb,b=a [11m12s] from: 20585 ab:ab=aa,baaaaa=b finite:12;idempotents:1,abbbb,bbbbb to: 5202 ab:aab=bb,abba=a finite:12;idempotents:1,aaab,aaaaa anti:a=b,b=aa [11m12s] from: 22323 ab:aaa=1,bbabbb=ba finite:255;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,aabbbbbbbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbbbbbbbaa to: 22315 ab:aaa=1,babbbb=ab finite:255;idempotents:1,bbbbbbbbbbbbbbbbbbbbbbbbbbbb,aabbbbbbbbbbbbbbbbbbbbbbbbbbbba,abbbbbbbbbbbbbbbbbbbbbbbbbbbbaa anti:a=aa,b=b [11m12s] # eliminated 236 finite monoids [11m12s] # finite monoids after isomorphism: [11m12s] # 2361964:2,10587:1,1220:1,1215:1,1083:1,1024:1,1020:1,960:1,684:1,660:1,605:1,500:1,480:1,432:1,384:1,378:2,375:1,339:1,336:1,324:1,320:1,272:1,260:1,255:1,244:1,195:1,192:1,174:1,165:1,160:1,148:2,147:1,138:1,129:1,120:1,111:1,105:1,101:1,100:2,96:1,85:1,84:2,82:1,81:1,80:1,79:1,78:1,75:2,74:1,72:2,70:1,68:1,64:3,62:1,61:1,60:2,56:2,55:2,54:1,52:2,51:1,50:3,49:1,48:5,45:1,44:1,42:3,40:1,39:2,36:5,34:2,33:2,32:3,31:1,30:9,28:3,27:7,26:6,25:8,24:7,23:2,22:4,21:9,20:21,19:6,18:18,17:17,16:21,15:23,14:31,13:27,12:38,11:30,10:32,9:27,8:34,7:23,6:20,5:12,4:9,3:5,2:2,1:1 [11m12s] # finalize and check tables [11m12s] # rss:32695392kb [11m12s] # writing html [11m12s] # writing index [11m12s] # write HTML #1 ab:aa=1,ab=1 [11m12s] # write HTML #2 ab:aa=1,bb=1 [11m12s] # write HTML #3 ab:ab=1,ba=1 [11m12s] # write HTML #4 ab:aa=a,ab=1 [11m12s] # write HTML #5 ab:aa=a,bb=1 [11m12s] # write HTML #6 ab:aa=b,ab=1 [11m12s] # write HTML #7 ab:aa=b,bb=1 [11m12s] # write HTML #9 ab:ab=a,bb=1 [11m12s] # write HTML #11 ab:aa=1,aaa=1 [11m12s] # write HTML #16 ab:aa=1,bbb=1 [11m12s] # write HTML #22 ab:ab=aa,bb=1 [11m12s] # write HTML #23 ab:ba=ab,bb=1 [11m12s] # write HTML #26 ab:aaa=1,abb=1 [11m12s] # write HTML #28 ab:aaa=1,bbb=1 [11m12s] # write HTML #40 ab:aa=a,bbb=1 [11m12s] # write HTML #44 ab:aa=b,abb=1 [11m12s] # write HTML #54 ab:ab=a,bbb=1 [11m12s] # write HTML #55 ab:aa=a,ab=a [11m12s] # write HTML #56 ab:aa=a,ab=b [11m12s] # write HTML #57 ab:aa=a,bb=a [11m12s] # write HTML #58 ab:aa=a,bb=b [11m12s] # write HTML #59 ab:aa=b,ab=a [11m12s] # write HTML #60 ab:aa=b,ab=b [11m12s] # write HTML #61 ab:aa=b,bb=a [11m12s] # write HTML #62 ab:ab=a,ba=a [11m12s] # write HTML #63 ab:ab=a,ba=b [11m12s] # write HTML #64 ab:aa=1,aaaa=1 [11m12s] # write HTML #68 ab:aa=1,abab=1 [11m12s] # write HTML #73 ab:aa=1,bbbb=1 [11m12s] # write HTML #77 ab:ab=1,aabb=1 [11m12s] # write HTML #93 ab:aa=1,bab=b [11m12s] # write HTML #95 ab:aa=1,bbb=b [11m12s] # write HTML #113 ab:aaa=a,bbb=1 [11m12s] # write HTML #116 ab:aaa=b,abb=1 [11m12s] # write HTML #118 ab:aaa=b,bbb=1 [11m12s] # write HTML #124 ab:aab=a,bbb=1 [11m12s] # write HTML #134 ab:aba=a,bbb=1 [11m12s] # write HTML #141 ab:bab=a,bbb=1 [11m12s] # write HTML #151 ab:ba=ab,aaa=1 [11m12s] # write HTML #157 ab:ab=aa,ba=a [11m12s] # write HTML #158 ab:ab=aa,ba=b [11m12s] # write HTML #159 ab:ab=aa,bb=a [11m12s] # write HTML #160 ab:ab=aa,bb=b [11m12s] # write HTML #162 ab:ba=ab,bb=b [11m12s] # write HTML #167 ab:aaa=1,abab=1 [11m12s] # write HTML #172 ab:aaa=1,bbbb=1 [11m12s] # write HTML #188 ab:aab=1,bbbb=1 [11m12s] # write HTML #208 ab:aa=a,bbbb=1 [11m12s] # write HTML #234 ab:ab=a,bbbb=1 [11m12s] # write HTML #235 ab:aa=a,aaa=a [11m12s] # write HTML #236 ab:aa=a,aaa=b [11m12s] # write HTML #239 ab:aa=a,aba=a [11m12s] # write HTML #240 ab:aa=a,aba=b [11m12s] # write HTML #241 ab:aa=a,abb=a [11m12s] # write HTML #242 ab:aa=a,abb=b [11m12s] # write HTML #243 ab:aa=a,bab=a [11m12s] # write HTML #244 ab:aa=a,bab=b [11m12s] # write HTML #245 ab:aa=a,bbb=a [11m12s] # write HTML #246 ab:aa=a,bbb=b [11m12s] # write HTML #253 ab:aa=b,abb=a [11m12s] # write HTML #254 ab:aa=b,abb=b [11m12s] # write HTML #257 ab:aa=b,bbb=a [11m12s] # write HTML #258 ab:aa=b,bbb=b [11m12s] # write HTML #259 ab:ab=a,aaa=a [11m12s] # write HTML #265 ab:ab=a,abb=a [11m12s] # write HTML #267 ab:ab=a,baa=a [11m12s] # write HTML #268 ab:ab=a,baa=b [11m12s] # write HTML #271 ab:ab=a,bba=a [11m12s] # write HTML #274 ab:ab=a,bbb=b [11m12s] # write HTML #280 ab:ab=a,bb=aa [11m12s] # write HTML #282 ab:ab=b,bb=ab [11m12s] # write HTML #302 ab:aa=1,bbbbb=1 [11m12s] # write HTML #322 ab:aa=1,aaab=b [11m12s] # write HTML #326 ab:aa=1,aabb=b [11m12s] # write HTML #330 ab:aa=1,abba=b [11m12s] # write HTML #332 ab:aa=1,abbb=b [11m12s] # write HTML #336 ab:aa=1,babb=b [11m12s] # write HTML #338 ab:aa=1,bbbb=b [11m12s] # write HTML #368 ab:aa=1,abb=bb [11m12s] # write HTML #371 ab:aa=1,bab=bb [11m12s] # write HTML #374 ab:aa=1,bbb=bb [11m12s] # write HTML #395 ab:aaa=aa,bbb=1 [11m12s] # write HTML #402 ab:aaa=ab,bbb=1 [11m12s] # write HTML #413 ab:aab=aa,bbb=1 [11m12s] # write HTML #425 ab:aab=ba,bbb=1 [11m12s] # write HTML #435 ab:aba=aa,bbb=1 [11m12s] # write HTML #445 ab:aba=bb,bbb=1 [11m12s] # write HTML #450 ab:bab=aa,bbb=1 [11m12s] # write HTML #451 ab:bab=ab,bbb=1 [11m12s] # write HTML #455 ab:aaaa=1,aabb=1 [11m12s] # write HTML #456 ab:aaaa=1,abab=1 [11m12s] # write HTML #458 ab:aaaa=1,abbb=1 [11m12s] # write HTML #461 ab:aaaa=1,bbbb=1 [11m12s] # write HTML #484 ab:aabb=1,abab=1 [11m12s] # write HTML #485 ab:aabb=1,abba=1 [11m12s] # write HTML #486 ab:aabb=1,baba=1 [11m12s] # write HTML #489 ab:abab=1,baba=1 [11m12s] # write HTML #500 ab:aaa=a,bbbb=1 [11m12s] # write HTML #507 ab:aaa=b,abbb=1 [11m12s] # write HTML #516 ab:aab=a,abab=1 [11m12s] # write HTML #526 ab:aab=a,bbbb=1 [11m12s] # write HTML #527 ab:aab=b,aaaa=1 [11m12s] # write HTML #552 ab:aba=a,bbbb=1 [11m12s] # write HTML #553 ab:aba=b,aaaa=1 [11m12s] # write HTML #556 ab:aba=b,aabb=1 [11m12s] # write HTML #562 ab:aba=b,bbbb=1 [11m12s] # write HTML #563 ab:aaa=a,aab=a [11m12s] # write HTML #564 ab:aaa=a,aab=b [11m12s] # write HTML #565 ab:aaa=a,aba=a [11m12s] # write HTML #566 ab:aaa=a,aba=b [11m12s] # write HTML #567 ab:aaa=a,abb=a [11m12s] # write HTML #568 ab:aaa=a,abb=b [11m12s] # write HTML #569 ab:aaa=a,bab=a [11m12s] # write HTML #570 ab:aaa=a,bab=b [11m12s] # write HTML #571 ab:aaa=a,bbb=a [11m12s] # write HTML #572 ab:aaa=a,bbb=b [11m12s] # write HTML #574 ab:aaa=b,aab=b [11m12s] # write HTML #577 ab:aaa=b,abb=a [11m12s] # write HTML #578 ab:aaa=b,abb=b [11m12s] # write HTML #581 ab:aaa=b,bbb=a [11m12s] # write HTML #582 ab:aab=a,aba=a [11m12s] # write HTML #585 ab:aab=a,abb=b [11m12s] # write HTML #586 ab:aab=a,baa=a [11m12s] # write HTML #588 ab:aab=a,bab=a [11m12s] # write HTML #589 ab:aab=a,bab=b [11m12s] # write HTML #590 ab:aab=a,bba=a [11m12s] # write HTML #591 ab:aab=a,bba=b [11m12s] # write HTML #593 ab:aab=b,aba=b [11m12s] # write HTML #594 ab:aab=b,abb=a [11m12s] # write HTML #595 ab:aab=b,baa=b [11m12s] # write HTML #596 ab:aab=b,bab=a [11m12s] # write HTML #597 ab:aab=b,bab=b [11m12s] # write HTML #598 ab:aab=b,bba=a [11m12s] # write HTML #600 ab:aba=a,bab=b [11m12s] # write HTML #601 ab:aba=b,bab=a [11m12s] # write HTML #618 ab:ba=ab,aaaa=1 [11m12s] # write HTML #628 ab:bb=aa,abab=1 [11m12s] # write HTML #639 ab:ab=aa,baa=b [11m12s] # write HTML #642 ab:ab=aa,bba=a [11m12s] # write HTML #644 ab:ab=aa,bbb=a [11m12s] # write HTML #645 ab:ab=aa,bbb=b [11m12s] # write HTML #646 ab:ba=ab,aaa=a [11m12s] # write HTML #652 ab:bb=aa,aaa=a [11m12s] # write HTML #656 ab:bb=aa,aba=a [11m12s] # write HTML #657 ab:bb=aa,aba=b [11m12s] # write HTML #658 ab:ab=aa,ba=aa [11m12s] # write HTML #660 ab:ab=aa,bb=aa [11m12s] # write HTML #662 ab:ab=aa,bb=ba [11m12s] # write HTML #663 ab:ba=ab,bb=aa [11m12s] # write HTML #683 ab:aaa=1,bbbbb=1 [11m12s] # write HTML #736 ab:aaa=1,aaaa=a [11m12s] # write HTML #750 ab:aaa=1,baab=a [11m12s] # write HTML #751 ab:aaa=1,baab=b [11m12s] # write HTML #752 ab:aaa=1,babb=a [11m12s] # write HTML #753 ab:aaa=1,babb=b [11m12s] # write HTML #755 ab:aaa=1,bbbb=b [11m12s] # write HTML #758 ab:aab=1,aaab=a [11m12s] # write HTML #767 ab:aab=1,abab=b [11m12s] # write HTML #827 ab:aa=a,bbbbb=1 [11m12s] # write HTML #879 ab:ab=a,bbbbb=1 [11m12s] # write HTML #888 ab:aa=a,abab=a [11m12s] # write HTML #890 ab:aa=a,abba=a [11m12s] # write HTML #891 ab:aa=a,abba=b [11m12s] # write HTML #892 ab:aa=a,abbb=a [11m12s] # write HTML #893 ab:aa=a,abbb=b [11m12s] # write HTML #896 ab:aa=a,babb=a [11m12s] # write HTML #897 ab:aa=a,babb=b [11m12s] # write HTML #898 ab:aa=a,bbbb=a [11m12s] # write HTML #899 ab:aa=a,bbbb=b [11m12s] # write HTML #913 ab:aa=b,abbb=b [11m12s] # write HTML #918 ab:aa=b,bbbb=a [11m12s] # write HTML #919 ab:aa=b,bbbb=b [11m12s] # write HTML #920 ab:ab=a,aaaa=a [11m12s] # write HTML #936 ab:ab=a,baaa=a [11m12s] # write HTML #937 ab:ab=a,baaa=b [11m12s] # write HTML #944 ab:ab=a,bbaa=a [11m12s] # write HTML #948 ab:ab=a,bbba=a [11m12s] # write HTML #950 ab:ab=a,bbbb=a [11m12s] # write HTML #951 ab:ab=a,bbbb=b [11m12s] # write HTML #960 ab:aa=a,aba=ab [11m12s] # write HTML #961 ab:aa=a,aba=bb [11m12s] # write HTML #963 ab:aa=a,abb=ab [11m12s] # write HTML #964 ab:aa=a,abb=ba [11m12s] # write HTML #965 ab:aa=a,abb=bb [11m12s] # write HTML #967 ab:aa=a,bab=ab [11m12s] # write HTML #968 ab:aa=a,bab=bb [11m12s] # write HTML #970 ab:aa=a,bbb=ab [11m12s] # write HTML #971 ab:aa=a,bbb=bb [11m12s] # write HTML #992 ab:ab=a,aaa=aa [11m12s] # write HTML #994 ab:ab=a,aaa=ba [11m12s] # write HTML #995 ab:ab=a,aaa=bb [11m12s] # write HTML #998 ab:ab=a,aab=ba [11m12s] # write HTML #1008 ab:ab=a,baa=aa [11m12s] # write HTML #1010 ab:ab=a,baa=ba [11m12s] # write HTML #1011 ab:ab=a,baa=bb [11m12s] # write HTML #1016 ab:ab=a,bba=aa [11m12s] # write HTML #1018 ab:ab=a,bba=ba [11m12s] # write HTML #1019 ab:ab=a,bba=bb [11m12s] # write HTML #1020 ab:ab=a,bbb=aa [11m12s] # write HTML #1022 ab:ab=a,bbb=ba [11m12s] # write HTML #1023 ab:ab=a,bbb=bb [11m12s] # write HTML #1042 ab:aa=1,ababab=1 [11m12s] # write HTML #1046 ab:aa=1,abbabb=1 [11m12s] # write HTML #1059 ab:aa=1,bbbbbb=1 [11m12s] # write HTML #1117 ab:aa=1,ababb=b [11m12s] # write HTML #1119 ab:aa=1,abbab=b [11m12s] # write HTML #1121 ab:aa=1,abbba=b [11m12s] # write HTML #1123 ab:aa=1,abbbb=b [11m12s] # write HTML #1129 ab:aa=1,babab=b [11m12s] # write HTML #1131 ab:aa=1,babbb=b [11m12s] # write HTML #1133 ab:aa=1,bbabb=b [11m12s] # write HTML #1135 ab:aa=1,bbbbb=b [11m12s] # write HTML #1186 ab:aa=1,abab=bb [11m12s] # write HTML #1189 ab:aa=1,abba=bb [11m12s] # write HTML #1193 ab:aa=1,abbb=bb [11m12s] # write HTML #1200 ab:aa=1,babb=bb [11m12s] # write HTML #1203 ab:aa=1,bbbb=bb [11m12s] # write HTML #1257 ab:aa=1,bbb=bab [11m13s] # write HTML #1279 ab:aab=aaa,bbb=1 [11m13s] # write HTML #1283 ab:aba=aaa,bbb=1 [11m13s] # write HTML #1284 ab:aba=aab,abb=1 [11m13s] # write HTML #1288 ab:aba=aab,bbb=1 [11m13s] # write HTML #1302 ab:baa=aab,bbb=1 [11m13s] # write HTML #1307 ab:bab=aaa,bbb=1 [11m13s] # write HTML #1322 ab:aaaa=a,bbbb=1 [11m13s] # write HTML #1328 ab:aaaa=b,abbb=1 [11m13s] # write HTML #1331 ab:aaaa=b,bbbb=1 [11m13s] # write HTML #1345 ab:aaab=a,bbbb=1 [11m13s] # write HTML #1372 ab:aaba=a,bbbb=1 [11m13s] # write HTML #1385 ab:aaba=b,bbbb=1 [11m13s] # write HTML #1387 ab:aabb=a,abab=1 [11m13s] # write HTML #1397 ab:aabb=a,bbbb=1 [11m13s] # write HTML #1423 ab:abba=a,bbbb=1 [11m13s] # write HTML #1427 ab:abba=b,baba=1 [11m13s] # write HTML #1434 ab:baab=a,bbbb=1 [11m13s] # write HTML #1438 ab:babb=a,bbbb=1 [11m13s] # write HTML #1449 ab:aaa=aa,bbbb=1 [11m13s] # write HTML #1470 ab:aaa=bb,abab=1 [11m13s] # write HTML #1472 ab:aaa=bb,abbb=1 [11m13s] # write HTML #1475 ab:aaa=bb,bbbb=1 [11m13s] # write HTML #1491 ab:aab=aa,bbbb=1 [11m13s] # write HTML #1492 ab:aab=ab,aaaa=1 [11m13s] # write HTML #1523 ab:aab=ba,bbbb=1 [11m13s] # write HTML #1524 ab:aab=bb,aaaa=1 [11m13s] # write HTML #1549 ab:aba=aa,bbbb=1 [11m13s] # write HTML #1577 ab:aaa=aa,aab=b [11m13s] # write HTML #1578 ab:aaa=aa,aba=a [11m13s] # write HTML #1579 ab:aaa=aa,aba=b [11m13s] # write HTML #1580 ab:aaa=aa,abb=a [11m13s] # write HTML #1581 ab:aaa=aa,abb=b [11m13s] # write HTML #1582 ab:aaa=aa,bab=a [11m13s] # write HTML #1583 ab:aaa=aa,bab=b [11m13s] # write HTML #1584 ab:aaa=aa,bbb=a [11m13s] # write HTML #1585 ab:aaa=aa,bbb=b [11m13s] # write HTML #1586 ab:aaa=ab,aab=a [11m13s] # write HTML #1590 ab:aaa=ab,abb=a [11m13s] # write HTML #1592 ab:aaa=ab,baa=a [11m13s] # write HTML #1593 ab:aaa=ab,baa=b [11m13s] # write HTML #1594 ab:aaa=ab,bab=a [11m13s] # write HTML #1595 ab:aaa=ab,bab=b [11m13s] # write HTML #1596 ab:aaa=ab,bba=a [11m13s] # write HTML #1598 ab:aaa=ab,bbb=a [11m13s] # write HTML #1599 ab:aaa=ab,bbb=b [11m13s] # write HTML #1601 ab:aaa=bb,aab=b [11m13s] # write HTML #1602 ab:aaa=bb,aba=a [11m13s] # write HTML #1603 ab:aaa=bb,aba=b [11m13s] # write HTML #1604 ab:aaa=bb,abb=a [11m13s] # write HTML #1605 ab:aaa=bb,abb=b [11m13s] # write HTML #1606 ab:aaa=bb,bab=a [11m13s] # write HTML #1607 ab:aaa=bb,bab=b [11m13s] # write HTML #1608 ab:aaa=bb,bbb=a [11m13s] # write HTML #1609 ab:aaa=bb,bbb=b [11m13s] # write HTML #1610 ab:aab=aa,aba=a [11m13s] # write HTML #1612 ab:aab=aa,abb=a [11m13s] # write HTML #1615 ab:aab=aa,baa=b [11m13s] # write HTML #1616 ab:aab=aa,bab=a [11m13s] # write HTML #1617 ab:aab=aa,bab=b [11m13s] # write HTML #1618 ab:aab=aa,bba=a [11m13s] # write HTML #1620 ab:aab=aa,bbb=a [11m13s] # write HTML #1621 ab:aab=aa,bbb=b [11m13s] # write HTML #1627 ab:aab=ab,baa=b [11m13s] # write HTML #1629 ab:aab=ab,bab=b [11m13s] # write HTML #1630 ab:aab=ab,bba=a [11m13s] # write HTML #1631 ab:aab=ab,bba=b [11m13s] # write HTML #1632 ab:aab=ab,bbb=a [11m13s] # write HTML #1633 ab:aab=ab,bbb=b [11m13s] # write HTML #1635 ab:aab=ba,aba=b [11m13s] # write HTML #1636 ab:aab=ba,abb=a [11m13s] # write HTML #1639 ab:aab=ba,baa=b [11m13s] # write HTML #1641 ab:aab=ba,bab=b [11m13s] # write HTML #1642 ab:aab=ba,bba=a [11m13s] # write HTML #1645 ab:aab=ba,bbb=b [11m13s] # write HTML #1646 ab:aab=bb,aba=a [11m13s] # write HTML #1648 ab:aab=bb,abb=a [11m13s] # write HTML #1650 ab:aab=bb,baa=a [11m13s] # write HTML #1651 ab:aab=bb,baa=b [11m13s] # write HTML #1653 ab:aab=bb,bab=b [11m13s] # write HTML #1654 ab:aab=bb,bba=a [11m13s] # write HTML #1655 ab:aab=bb,bba=b [11m13s] # write HTML #1657 ab:aab=bb,bbb=b [11m13s] # write HTML #1658 ab:aba=aa,abb=a [11m13s] # write HTML #1662 ab:aba=aa,bab=a [11m13s] # write HTML #1663 ab:aba=aa,bab=b [11m13s] # write HTML #1665 ab:aba=aa,bbb=b [11m13s] # write HTML #1669 ab:aba=ab,baa=b [11m13s] # write HTML #1671 ab:aba=ab,bab=b [11m13s] # write HTML #1672 ab:aba=ab,bba=a [11m13s] # write HTML #1675 ab:aba=ab,bbb=b [11m13s] # write HTML #1677 ab:aba=ba,baa=b [11m13s] # write HTML #1682 ab:aba=bb,bab=a [11m13s] # write HTML #1685 ab:aba=bb,bbb=b [11m13s] # write HTML #1686 ab:abb=aa,bbb=a [11m13s] # write HTML #1687 ab:abb=aa,bbb=b [11m13s] # write HTML #1689 ab:abb=ab,bbb=b [11m13s] # write HTML #1691 ab:abb=ba,bbb=b [11m13s] # write HTML #1693 ab:abb=bb,bbb=b [11m13s] # write HTML #1695 ab:bab=aa,bbb=b [11m13s] # write HTML #1697 ab:bab=ab,bbb=b [11m13s] # write HTML #1699 ab:bab=bb,bbb=b [11m13s] # write HTML #1707 ab:aaaa=1,aabbb=1 [11m13s] # write HTML #1719 ab:aaaa=1,bbbbb=1 [11m13s] # write HTML #1751 ab:aaab=1,bbbbb=1 [11m13s] # write HTML #1789 ab:aabb=1,aabab=1 [11m13s] # write HTML #1800 ab:abab=1,aaaaa=1 [11m13s] # write HTML #1803 ab:abab=1,aaabb=1 [11m13s] # write HTML #1855 ab:aaa=a,bbbbb=1 [11m13s] # write HTML #1907 ab:aab=a,bbbbb=1 [11m13s] # write HTML #1908 ab:aab=b,aaaaa=1 [11m13s] # write HTML #1959 ab:aba=a,bbbbb=1 [11m13s] # write HTML #1960 ab:aba=b,aaaaa=1 [11m13s] # write HTML #1963 ab:aba=b,aaabb=1 [11m13s] # write HTML #1983 ab:aaa=a,aaab=b [11m13s] # write HTML #1984 ab:aaa=a,aaba=a [11m13s] # write HTML #1985 ab:aaa=a,aaba=b [11m13s] # write HTML #1986 ab:aaa=a,aabb=a [11m13s] # write HTML #1987 ab:aaa=a,aabb=b [11m13s] # write HTML #1988 ab:aaa=a,abab=a [11m13s] # write HTML #1990 ab:aaa=a,abba=a [11m13s] # write HTML #1991 ab:aaa=a,abba=b [11m13s] # write HTML #1992 ab:aaa=a,abbb=a [11m13s] # write HTML #1993 ab:aaa=a,abbb=b [11m13s] # write HTML #1995 ab:aaa=a,baab=b [11m13s] # write HTML #1996 ab:aaa=a,babb=a [11m13s] # write HTML #1997 ab:aaa=a,babb=b [11m13s] # write HTML #1998 ab:aaa=a,bbbb=a [11m13s] # write HTML #1999 ab:aaa=a,bbbb=b [11m13s] # write HTML #2012 ab:aaa=b,abbb=a [11m13s] # write HTML #2013 ab:aaa=b,abbb=b [11m13s] # write HTML #2018 ab:aaa=b,bbbb=a [11m13s] # write HTML #2019 ab:aaa=b,bbbb=b [11m13s] # write HTML #2048 ab:aab=a,bbba=a [11m13s] # write HTML #2051 ab:aab=a,bbbb=b [11m13s] # write HTML #2052 ab:aab=b,aaaa=a [11m13s] # write HTML #2055 ab:aab=b,aaab=b [11m13s] # write HTML #2063 ab:aab=b,abab=b [11m13s] # write HTML #2064 ab:aab=b,abba=a [11m13s] # write HTML #2066 ab:aab=b,abbb=a [11m13s] # write HTML #2069 ab:aab=b,baaa=b [11m13s] # write HTML #2073 ab:aab=b,baba=b [11m13s] # write HTML #2074 ab:aab=b,babb=a [11m13s] # write HTML #2075 ab:aab=b,babb=b [11m13s] # write HTML #2077 ab:aab=b,bbaa=b [11m13s] # write HTML #2079 ab:aab=b,bbab=b [11m13s] # write HTML #2080 ab:aab=b,bbba=a [11m13s] # write HTML #2081 ab:aab=b,bbba=b [11m13s] # write HTML #2083 ab:aab=b,bbbb=b [11m13s] # write HTML #2084 ab:aba=a,aaaa=a [11m13s] # write HTML #2090 ab:aba=a,aabb=a [11m13s] # write HTML #2094 ab:aba=a,abba=a [11m13s] # write HTML #2096 ab:aba=a,abbb=a [11m13s] # write HTML #2099 ab:aba=a,baab=b [11m13s] # write HTML #2101 ab:aba=a,babb=b [11m13s] # write HTML #2103 ab:aba=a,bbbb=b [11m13s] # write HTML #2104 ab:aba=b,aaaa=a [11m13s] # write HTML #2118 ab:aba=b,baab=a [11m13s] # write HTML #2123 ab:aba=b,bbbb=b [11m13s] # write HTML #2156 ab:ba=ab,aaaaa=1 [11m13s] # write HTML #2176 ab:ab=aa,aaaa=a [11m13s] # write HTML #2192 ab:ab=aa,baaa=a [11m13s] # write HTML #2200 ab:ab=aa,bbaa=a [11m13s] # write HTML #2204 ab:ab=aa,bbba=a [11m13s] # write HTML #2206 ab:ab=aa,bbbb=a [11m13s] # write HTML #2207 ab:ab=aa,bbbb=b [11m13s] # write HTML #2208 ab:ba=ab,aaaa=a [11m13s] # write HTML #2210 ab:ba=ab,aaab=a [11m13s] # write HTML #2211 ab:ba=ab,aaab=b [11m13s] # write HTML #2214 ab:ba=ab,aabb=a [11m13s] # write HTML #2220 ab:bb=aa,aaab=a [11m13s] # write HTML #2228 ab:ab=aa,aaa=aa [11m13s] # write HTML #2230 ab:ab=aa,aaa=ba [11m13s] # write HTML #2231 ab:ab=aa,aaa=bb [11m13s] # write HTML #2244 ab:ab=aa,baa=aa [11m13s] # write HTML #2246 ab:ab=aa,baa=ba [11m13s] # write HTML #2247 ab:ab=aa,baa=bb [11m13s] # write HTML #2252 ab:ab=aa,bba=aa [11m13s] # write HTML #2254 ab:ab=aa,bba=ba [11m13s] # write HTML #2255 ab:ab=aa,bba=bb [11m13s] # write HTML #2256 ab:ab=aa,bbb=aa [11m13s] # write HTML #2258 ab:ab=aa,bbb=ba [11m13s] # write HTML #2259 ab:ab=aa,bbb=bb [11m13s] # write HTML #2260 ab:ba=ab,aaa=aa [11m13s] # write HTML #2261 ab:ba=ab,aaa=ab [11m13s] # write HTML #2262 ab:ba=ab,aaa=bb [11m13s] # write HTML #2263 ab:ba=ab,aab=aa [11m13s] # write HTML #2264 ab:ba=ab,aab=ab [11m13s] # write HTML #2266 ab:ba=ab,aab=bb [11m13s] # write HTML #2270 ab:bb=aa,aaa=aa [11m13s] # write HTML #2271 ab:bb=aa,aaa=ab [11m13s] # write HTML #2277 ab:bb=aa,aba=aa [11m13s] # write HTML #2298 ab:aaa=1,ababab=1 [11m13s] # write HTML #2300 ab:aaa=1,ababbb=1 [11m13s] # write HTML #2302 ab:aaa=1,abbabb=1 [11m13s] # write HTML #2315 ab:aaa=1,bbbbbb=1 [11m13s] # write HTML #2437 ab:aaa=1,ababb=b [11m13s] # write HTML #2443 ab:aaa=1,abbbb=b [11m13s] # write HTML #2447 ab:aaa=1,baabb=b [11m13s] # write HTML #2449 ab:aaa=1,babab=b [11m13s] # write HTML #2450 ab:aaa=1,babbb=a [11m13s] # write HTML #2451 ab:aaa=1,babbb=b [11m13s] # write HTML #2452 ab:aaa=1,bbabb=a [11m13s] # write HTML #2453 ab:aaa=1,bbabb=b [11m13s] # write HTML #2455 ab:aaa=1,bbbbb=b [11m13s] # write HTML #2574 ab:aaa=1,aabb=bb [11m13s] # write HTML #2576 ab:aaa=1,abab=ab [11m13s] # write HTML #2578 ab:aaa=1,abab=bb [11m13s] # write HTML #2581 ab:aaa=1,abba=bb [11m13s] # write HTML #2583 ab:aaa=1,abbb=ab [11m13s] # write HTML #2584 ab:aaa=1,abbb=ba [11m13s] # write HTML #2585 ab:aaa=1,abbb=bb [11m13s] # write HTML #2588 ab:aaa=1,baab=bb [11m13s] # write HTML #2591 ab:aaa=1,babb=ba [11m13s] # write HTML #2592 ab:aaa=1,babb=bb [11m13s] # write HTML #2595 ab:aaa=1,bbbb=bb [11m13s] # write HTML #2755 ab:aa=a,bbbbbb=1 [11m13s] # write HTML #2855 ab:ab=a,bbbbbb=1 [11m13s] # write HTML #2874 ab:aa=a,ababa=a [11m13s] # write HTML #2876 ab:aa=a,ababb=a [11m13s] # write HTML #2878 ab:aa=a,abbab=a [11m13s] # write HTML #2880 ab:aa=a,abbba=a [11m13s] # write HTML #2881 ab:aa=a,abbba=b [11m13s] # write HTML #2882 ab:aa=a,abbbb=a [11m13s] # write HTML #2883 ab:aa=a,abbbb=b [11m13s] # write HTML #2888 ab:aa=a,babab=a [11m13s] # write HTML #2889 ab:aa=a,babab=b [11m13s] # write HTML #2890 ab:aa=a,babbb=a [11m13s] # write HTML #2891 ab:aa=a,babbb=b [11m13s] # write HTML #2892 ab:aa=a,bbabb=a [11m13s] # write HTML #2893 ab:aa=a,bbabb=b [11m13s] # write HTML #2894 ab:aa=a,bbbbb=a [11m13s] # write HTML #2895 ab:aa=a,bbbbb=b [11m13s] # write HTML #2935 ab:aa=b,bbbbb=b [11m13s] # write HTML #2936 ab:ab=a,aaaaa=a [11m13s] # write HTML #2968 ab:ab=a,baaaa=a [11m13s] # write HTML #2984 ab:ab=a,bbaaa=a [11m13s] # write HTML #2992 ab:ab=a,bbbaa=a [11m13s] # write HTML #2996 ab:ab=a,bbbba=a [11m13s] # write HTML #2999 ab:ab=a,bbbbb=b [11m13s] # write HTML #3009 ab:aa=a,aaba=ba [11m13s] # write HTML #3016 ab:aa=a,abab=ab [11m13s] # write HTML #3017 ab:aa=a,abab=ba [11m13s] # write HTML #3018 ab:aa=a,abab=bb [11m13s] # write HTML #3020 ab:aa=a,abba=ab [11m13s] # write HTML #3021 ab:aa=a,abba=bb [11m13s] # write HTML #3023 ab:aa=a,abbb=ab [11m13s] # write HTML #3024 ab:aa=a,abbb=ba [11m13s] # write HTML #3025 ab:aa=a,abbb=bb [11m13s] # write HTML #3030 ab:aa=a,babb=ab [11m13s] # write HTML #3031 ab:aa=a,babb=ba [11m13s] # write HTML #3032 ab:aa=a,babb=bb [11m13s] # write HTML #3034 ab:aa=a,bbbb=ab [11m13s] # write HTML #3035 ab:aa=a,bbbb=bb [11m13s] # write HTML #3072 ab:ab=a,aaaa=aa [11m13s] # write HTML #3074 ab:ab=a,aaaa=ba [11m13s] # write HTML #3075 ab:ab=a,aaaa=bb [11m13s] # write HTML #3104 ab:ab=a,baaa=aa [11m13s] # write HTML #3106 ab:ab=a,baaa=ba [11m13s] # write HTML #3107 ab:ab=a,baaa=bb [11m13s] # write HTML #3120 ab:ab=a,bbaa=aa [11m13s] # write HTML #3122 ab:ab=a,bbaa=ba [11m13s] # write HTML #3123 ab:ab=a,bbaa=bb [11m13s] # write HTML #3128 ab:ab=a,bbba=aa [11m13s] # write HTML #3130 ab:ab=a,bbba=ba [11m13s] # write HTML #3132 ab:ab=a,bbbb=aa [11m13s] # write HTML #3134 ab:ab=a,bbbb=ba [11m13s] # write HTML #3135 ab:ab=a,bbbb=bb [11m13s] # write HTML #3141 ab:aa=a,abb=aba [11m13s] # write HTML #3146 ab:aa=a,bab=aba [11m13s] # write HTML #3147 ab:aa=a,bab=abb [11m13s] # write HTML #3148 ab:aa=a,bba=abb [11m13s] # write HTML #3151 ab:aa=a,bbb=aba [11m13s] # write HTML #3152 ab:aa=a,bbb=abb [11m13s] # write HTML #3153 ab:aa=a,bbb=bab [11m13s] # write HTML #3178 ab:ab=a,baa=aaa [11m13s] # write HTML #3187 ab:ab=a,bba=aaa [11m13s] # write HTML #3191 ab:ab=a,bba=baa [11m13s] # write HTML #3193 ab:ab=a,bbb=aaa [11m13s] # write HTML #3197 ab:ab=a,bbb=baa [11m13s] # write HTML #3199 ab:ab=a,bbb=bba [11m13s] # write HTML #3271 ab:aa=1,bbbbbbb=1 [11m13s] # write HTML #3375 ab:aa=1,ababba=b [11m13s] # write HTML #3383 ab:aa=1,abbbab=b [11m13s] # write HTML #3385 ab:aa=1,abbbba=b [11m13s] # write HTML #3387 ab:aa=1,abbbbb=b [11m13s] # write HTML #3397 ab:aa=1,bababb=b [11m13s] # write HTML #3399 ab:aa=1,babbab=b [11m13s] # write HTML #3401 ab:aa=1,babbbb=b [11m13s] # write HTML #3405 ab:aa=1,bbabbb=b [11m13s] # write HTML #3407 ab:aa=1,bbbbbb=b [11m13s] # write HTML #3508 ab:aa=1,ababa=bb [11m13s] # write HTML #3512 ab:aa=1,ababb=bb [11m13s] # write HTML #3516 ab:aa=1,abbab=bb [11m13s] # write HTML #3519 ab:aa=1,abbba=bb [11m13s] # write HTML #3523 ab:aa=1,abbbb=bb [11m13s] # write HTML #3533 ab:aa=1,babab=bb [11m13s] # write HTML #3537 ab:aa=1,babbb=bb [11m13s] # write HTML #3540 ab:aa=1,bbabb=bb [11m13s] # write HTML #3543 ab:aa=1,bbbbb=bb [11m13s] # write HTML #3645 ab:aa=1,abab=bbb [11m13s] # write HTML #3659 ab:aa=1,abbb=bbb [11m13s] # write HTML #3671 ab:aa=1,babb=bab [11m13s] # write HTML #3673 ab:aa=1,babb=bbb [11m13s] # write HTML #3678 ab:aa=1,bbbb=bab [11m13s] # write HTML #3679 ab:aa=1,bbbb=bbb [11m13s] # write HTML #3752 ab:aaaa=aa,bbbb=1 [11m13s] # write HTML #3767 ab:aaaa=ab,bbbb=1 [11m13s] # write HTML #3770 ab:aaaa=bb,aabb=1 [11m13s] # write HTML #3771 ab:aaaa=bb,abab=1 [11m13s] # write HTML #3773 ab:aaaa=bb,abbb=1 [11m13s] # write HTML #3776 ab:aaaa=bb,bbbb=1 [11m13s] # write HTML #3780 ab:aaab=aa,abab=1 [11m13s] # write HTML #3790 ab:aaab=aa,bbbb=1 [11m13s] # write HTML #3808 ab:aaab=ba,abab=1 [11m13s] # write HTML #3818 ab:aaab=ba,bbbb=1 [11m13s] # write HTML #3845 ab:aaba=aa,bbbb=1 [11m13s] # write HTML #3858 ab:aaba=ab,bbbb=1 [11m13s] # write HTML #3871 ab:aaba=ba,bbbb=1 [11m13s] # write HTML #3886 ab:aabb=aa,abab=1 [11m13s] # write HTML #3896 ab:aabb=aa,bbbb=1 [11m13s] # write HTML #3898 ab:aabb=ab,abab=1 [11m13s] # write HTML #3907 ab:aabb=ba,abab=1 [11m13s] # write HTML #3911 ab:aabb=ba,baba=1 [11m13s] # write HTML #3914 ab:aabb=ba,bbbb=1 [11m13s] # write HTML #3931 ab:abab=aa,bbbb=1 [11m13s] # write HTML #3940 ab:abab=ba,abba=1 [11m13s] # write HTML #3958 ab:abba=aa,bbbb=1 [11m13s] # write HTML #3977 ab:abba=bb,bbbb=1 [11m13s] # write HTML #3979 ab:abbb=ab,bbbb=1 [11m13s] # write HTML #3983 ab:baab=aa,bbbb=1 [11m13s] # write HTML #3991 ab:baba=ba,bbaa=1 [11m13s] # write HTML #4011 ab:aab=aaa,bbbb=1 [11m13s] # write HTML #4021 ab:aba=aaa,bbbb=1 [11m13s] # write HTML #4025 ab:aba=aab,aabb=1 [11m13s] # write HTML #4029 ab:aba=aab,abbb=1 [11m13s] # write HTML #4037 ab:aba=aab,bbbb=1 [11m13s] # write HTML #4053 ab:abb=aaa,bbbb=1 [11m13s] # write HTML #4079 ab:abb=aba,bbbb=1 [11m13s] # write HTML #4080 ab:baa=aab,aaaa=1 [11m13s] # write HTML #4084 ab:baa=aab,abab=1 [11m13s] # write HTML #4089 ab:baa=aab,bbbb=1 [11m13s] # write HTML #4095 ab:baa=abb,abab=1 [11m13s] # write HTML #4107 ab:bab=aaa,bbbb=1 [11m13s] # write HTML #4118 ab:bbb=aaa,abab=1 [11m13s] # write HTML #4120 ab:aab=aaa,aba=a [11m13s] # write HTML #4122 ab:aab=aaa,abb=a [11m13s] # write HTML #4125 ab:aab=aaa,baa=b [11m13s] # write HTML #4126 ab:aab=aaa,bab=a [11m13s] # write HTML #4127 ab:aab=aaa,bab=b [11m13s] # write HTML #4128 ab:aab=aaa,bba=a [11m13s] # write HTML #4130 ab:aab=aaa,bbb=a [11m13s] # write HTML #4131 ab:aab=aaa,bbb=b [11m13s] # write HTML #4132 ab:aba=aaa,abb=a [11m13s] # write HTML #4134 ab:aba=aaa,baa=a [11m13s] # write HTML #4136 ab:aba=aaa,bab=a [11m13s] # write HTML #4137 ab:aba=aaa,bab=b [11m13s] # write HTML #4139 ab:aba=aaa,bbb=b [11m13s] # write HTML #4140 ab:aba=aab,abb=a [11m13s] # write HTML #4141 ab:aba=aab,abb=b [11m13s] # write HTML #4143 ab:aba=aab,baa=b [11m13s] # write HTML #4144 ab:aba=aab,bab=a [11m13s] # write HTML #4145 ab:aba=aab,bab=b [11m13s] # write HTML #4146 ab:aba=aab,bba=a [11m13s] # write HTML #4147 ab:aba=aab,bba=b [11m13s] # write HTML #4149 ab:aba=aab,bbb=b [11m13s] # write HTML #4150 ab:abb=aaa,baa=a [11m13s] # write HTML #4151 ab:abb=aaa,baa=b [11m13s] # write HTML #4152 ab:abb=aaa,bab=a [11m13s] # write HTML #4153 ab:abb=aaa,bab=b [11m13s] # write HTML #4154 ab:abb=aaa,bba=a [11m13s] # write HTML #4155 ab:abb=aaa,bba=b [11m13s] # write HTML #4156 ab:abb=aaa,bbb=a [11m13s] # write HTML #4157 ab:abb=aaa,bbb=b [11m13s] # write HTML #4158 ab:abb=aab,baa=a [11m13s] # write HTML #4159 ab:abb=aab,baa=b [11m13s] # write HTML #4161 ab:abb=aab,bab=b [11m13s] # write HTML #4162 ab:abb=aab,bbb=a [11m13s] # write HTML #4163 ab:abb=aab,bbb=b [11m13s] # write HTML #4164 ab:abb=aba,baa=a [11m13s] # write HTML #4165 ab:abb=aba,baa=b [11m13s] # write HTML #4168 ab:abb=aba,bba=a [11m13s] # write HTML #4171 ab:abb=aba,bbb=b [11m13s] # write HTML #4172 ab:baa=aab,bab=a [11m13s] # write HTML #4173 ab:baa=aab,bab=b [11m13s] # write HTML #4174 ab:baa=aab,bba=a [11m13s] # write HTML #4175 ab:baa=aab,bba=b [11m13s] # write HTML #4177 ab:baa=aab,bbb=b [11m13s] # write HTML #4179 ab:baa=abb,bab=b [11m13s] # write HTML #4180 ab:baa=abb,bba=a [11m13s] # write HTML #4183 ab:baa=abb,bbb=b [11m14s] # write HTML #4184 ab:bab=aaa,bba=a [11m14s] # write HTML #4187 ab:bab=aaa,bbb=b [11m14s] # write HTML #4189 ab:bab=aab,bbb=b [11m14s] # write HTML #4190 ab:bab=aba,bba=a [11m14s] # write HTML #4193 ab:bab=aba,bbb=b [11m14s] # write HTML #4195 ab:bab=abb,bbb=b [11m14s] # write HTML #4199 ab:bba=abb,bbb=b [11m14s] # write HTML #4212 ab:aaaaa=1,abbbb=1 [11m14s] # write HTML #4218 ab:aaaaa=1,bbbbb=1 [11m14s] # write HTML #4274 ab:aaabb=1,aabab=1 [11m14s] # write HTML #4275 ab:aaabb=1,aabba=1 [11m14s] # write HTML #4279 ab:aaabb=1,ababb=1 [11m14s] # write HTML #4361 ab:aaaa=a,bbbbb=1 [11m14s] # write HTML #4375 ab:aaaa=b,abbbb=1 [11m14s] # write HTML #4413 ab:aaab=a,bbbbb=1 [11m14s] # write HTML #4477 ab:aaba=a,bbbbb=1 [11m14s] # write HTML #4478 ab:aaba=b,aaaaa=1 [11m14s] # write HTML #4509 ab:aaba=b,bbbbb=1 [11m14s] # write HTML #4515 ab:aabb=a,aabab=1 [11m14s] # write HTML #4521 ab:aabb=a,ababb=1 [11m14s] # write HTML #4593 ab:abba=a,bbbbb=1 [11m14s] # write HTML #4594 ab:abba=b,aaaaa=1 [11m14s] # write HTML #4615 ab:aaaa=a,aaab=b [11m14s] # write HTML #4616 ab:aaaa=a,aaba=a [11m14s] # write HTML #4617 ab:aaaa=a,aaba=b [11m14s] # write HTML #4618 ab:aaaa=a,aabb=a [11m14s] # write HTML #4620 ab:aaaa=a,abab=a [11m14s] # write HTML #4622 ab:aaaa=a,abba=a [11m14s] # write HTML #4623 ab:aaaa=a,abba=b [11m14s] # write HTML #4624 ab:aaaa=a,abbb=a [11m14s] # write HTML #4625 ab:aaaa=a,abbb=b [11m14s] # write HTML #4626 ab:aaaa=a,baab=a [11m14s] # write HTML #4627 ab:aaaa=a,baab=b [11m14s] # write HTML #4628 ab:aaaa=a,babb=a [11m14s] # write HTML #4629 ab:aaaa=a,babb=b [11m14s] # write HTML #4630 ab:aaaa=a,bbbb=a [11m14s] # write HTML #4631 ab:aaaa=a,bbbb=b [11m14s] # write HTML #4637 ab:aaaa=b,aabb=b [11m14s] # write HTML #4642 ab:aaaa=b,abbb=a [11m14s] # write HTML #4643 ab:aaaa=b,abbb=b [11m14s] # write HTML #4648 ab:aaaa=b,bbbb=a [11m14s] # write HTML #4649 ab:aaab=a,aaba=a [11m14s] # write HTML #4652 ab:aaab=a,aabb=b [11m14s] # write HTML #4653 ab:aaab=a,abaa=a [11m14s] # write HTML #4656 ab:aaab=a,abab=b [11m14s] # write HTML #4658 ab:aaab=a,abba=b [11m14s] # write HTML #4659 ab:aaab=a,abbb=a [11m14s] # write HTML #4664 ab:aaab=a,baab=b [11m14s] # write HTML #4666 ab:aaab=a,baba=b [11m14s] # write HTML #4667 ab:aaab=a,babb=a [11m14s] # write HTML #4671 ab:aaab=a,bbab=a [11m14s] # write HTML #4673 ab:aaab=a,bbba=a [11m14s] # write HTML #4678 ab:aaab=b,aabb=b [11m14s] # write HTML #4680 ab:aaab=b,abaa=b [11m14s] # write HTML #4683 ab:aaab=b,abba=a [11m14s] # write HTML #4684 ab:aaab=b,abba=b [11m14s] # write HTML #4685 ab:aaab=b,abbb=a [11m14s] # write HTML #4686 ab:aaab=b,baaa=b [11m14s] # write HTML #4687 ab:aaab=b,baab=a [11m14s] # write HTML #4688 ab:aaab=b,baab=b [11m14s] # write HTML #4690 ab:aaab=b,baba=b [11m14s] # write HTML #4691 ab:aaab=b,babb=a [11m14s] # write HTML #4692 ab:aaab=b,babb=b [11m14s] # write HTML #4694 ab:aaab=b,bbaa=b [11m14s] # write HTML #4696 ab:aaab=b,bbab=b [11m14s] # write HTML #4697 ab:aaab=b,bbba=a [11m14s] # write HTML #4698 ab:aaba=a,aabb=a [11m14s] # write HTML #4699 ab:aaba=a,aabb=b [11m14s] # write HTML #4700 ab:aaba=a,abaa=a [11m14s] # write HTML #4703 ab:aaba=a,abab=b [11m14s] # write HTML #4704 ab:aaba=a,abba=a [11m14s] # write HTML #4707 ab:aaba=a,baab=b [11m14s] # write HTML #4711 ab:aaba=a,babb=b [11m14s] # write HTML #4712 ab:aaba=a,bbaa=a [11m14s] # write HTML #4715 ab:aaba=a,bbab=b [11m14s] # write HTML #4731 ab:aabb=a,abab=a [11m14s] # write HTML #4733 ab:aabb=a,abba=a [11m14s] # write HTML #4737 ab:aabb=a,baba=a [11m14s] # write HTML #4739 ab:aabb=a,bbaa=a [11m14s] # write HTML #4741 ab:abab=a,abba=a [11m14s] # write HTML #4749 ab:abba=b,baab=a [11m14s] # write HTML #4769 ab:aaa=aa,bbbbb=1 [11m14s] # write HTML #4853 ab:aab=aa,bbbbb=1 [11m14s] # write HTML #4886 ab:aab=ba,aaaaa=1 [11m14s] # write HTML #4917 ab:aab=ba,bbbbb=1 [11m14s] # write HTML #4969 ab:aba=aa,bbbbb=1 [11m14s] # write HTML #5009 ab:aba=bb,aabbb=1 [11m14s] # write HTML #5032 ab:aaa=aa,abba=a [11m14s] # write HTML #5033 ab:aaa=aa,abba=b [11m14s] # write HTML #5034 ab:aaa=aa,abbb=a [11m14s] # write HTML #5035 ab:aaa=aa,abbb=b [11m14s] # write HTML #5037 ab:aaa=aa,baab=b [11m14s] # write HTML #5038 ab:aaa=aa,babb=a [11m14s] # write HTML #5039 ab:aaa=aa,babb=b [11m14s] # write HTML #5040 ab:aaa=aa,bbbb=a [11m14s] # write HTML #5041 ab:aaa=aa,bbbb=b [11m14s] # write HTML #5048 ab:aaa=ab,aabb=a [11m14s] # write HTML #5056 ab:aaa=ab,abbb=a [11m14s] # write HTML #5060 ab:aaa=ab,baab=a [11m14s] # write HTML #5064 ab:aaa=ab,babb=a [11m14s] # write HTML #5065 ab:aaa=ab,babb=b [11m14s] # write HTML #5066 ab:aaa=ab,bbaa=a [11m14s] # write HTML #5068 ab:aaa=ab,bbab=a [11m14s] # write HTML #5070 ab:aaa=ab,bbba=a [11m14s] # write HTML #5072 ab:aaa=ab,bbbb=a [11m14s] # write HTML #5073 ab:aaa=ab,bbbb=b [11m14s] # write HTML #5079 ab:aaa=bb,aaba=b [11m14s] # write HTML #5086 ab:aaa=bb,abbb=a [11m14s] # write HTML #5087 ab:aaa=bb,abbb=b [11m14s] # write HTML #5088 ab:aaa=bb,baab=a [11m14s] # write HTML #5089 ab:aaa=bb,baab=b [11m14s] # write HTML #5092 ab:aaa=bb,bbbb=a [11m14s] # write HTML #5106 ab:aab=aa,abba=a [11m14s] # write HTML #5108 ab:aab=aa,abbb=a [11m14s] # write HTML #5111 ab:aab=aa,baaa=b [11m14s] # write HTML #5116 ab:aab=aa,babb=a [11m14s] # write HTML #5117 ab:aab=aa,babb=b [11m14s] # write HTML #5120 ab:aab=aa,bbab=a [11m14s] # write HTML #5121 ab:aab=aa,bbab=b [11m14s] # write HTML #5122 ab:aab=aa,bbba=a [11m14s] # write HTML #5124 ab:aab=aa,bbbb=a [11m14s] # write HTML #5125 ab:aab=aa,bbbb=b [11m14s] # write HTML #5126 ab:aab=ab,aaaa=a [11m14s] # write HTML #5143 ab:aab=ab,baaa=b [11m14s] # write HTML #5149 ab:aab=ab,babb=b [11m14s] # write HTML #5151 ab:aab=ab,bbaa=b [11m14s] # write HTML #5153 ab:aab=ab,bbab=b [11m14s] # write HTML #5154 ab:aab=ab,bbba=a [11m14s] # write HTML #5155 ab:aab=ab,bbba=b [11m14s] # write HTML #5157 ab:aab=ab,bbbb=b [11m14s] # write HTML #5158 ab:aab=ba,aaaa=a [11m14s] # write HTML #5167 ab:aab=ba,abaa=b [11m14s] # write HTML #5172 ab:aab=ba,abbb=a [11m14s] # write HTML #5175 ab:aab=ba,baaa=b [11m14s] # write HTML #5181 ab:aab=ba,babb=b [11m14s] # write HTML #5186 ab:aab=ba,bbba=a [11m14s] # write HTML #5189 ab:aab=ba,bbbb=b [11m14s] # write HTML #5191 ab:aab=bb,aaaa=b [11m14s] # write HTML #5201 ab:aab=bb,abab=b [11m14s] # write HTML #5202 ab:aab=bb,abba=a [11m14s] # write HTML #5205 ab:aab=bb,abbb=b [11m14s] # write HTML #5207 ab:aab=bb,baaa=b [11m14s] # write HTML #5211 ab:aab=bb,baba=b [11m14s] # write HTML #5213 ab:aab=bb,babb=b [11m14s] # write HTML #5215 ab:aab=bb,bbaa=b [11m14s] # write HTML #5217 ab:aab=bb,bbab=b [11m14s] # write HTML #5218 ab:aab=bb,bbba=a [11m14s] # write HTML #5219 ab:aab=bb,bbba=b [11m14s] # write HTML #5221 ab:aab=bb,bbbb=b [11m14s] # write HTML #5222 ab:aba=aa,aaaa=a [11m14s] # write HTML #5228 ab:aba=aa,aabb=a [11m14s] # write HTML #5232 ab:aba=aa,abba=a [11m14s] # write HTML #5234 ab:aba=aa,abbb=a [11m14s] # write HTML #5237 ab:aba=aa,baab=b [11m14s] # write HTML #5238 ab:aba=aa,babb=a [11m14s] # write HTML #5239 ab:aba=aa,babb=b [11m14s] # write HTML #5241 ab:aba=aa,bbbb=b [11m14s] # write HTML #5242 ab:aba=ab,aaaa=a [11m14s] # write HTML #5259 ab:aba=ab,baaa=b [11m14s] # write HTML #5266 ab:aba=ab,bbaa=a [11m14s] # write HTML #5270 ab:aba=ab,bbba=a [11m14s] # write HTML #5273 ab:aba=ab,bbbb=b [11m14s] # write HTML #5274 ab:aba=bb,aaaa=a [11m14s] # write HTML #5277 ab:aba=bb,aaab=b [11m14s] # write HTML #5285 ab:aba=bb,abba=b [11m14s] # write HTML #5286 ab:aba=bb,abbb=a [11m14s] # write HTML #5287 ab:aba=bb,abbb=b [11m14s] # write HTML #5293 ab:aba=bb,bbbb=b [11m14s] # write HTML #5294 ab:aaa=aa,aab=aa [11m14s] # write HTML #5295 ab:aaa=aa,aab=ab [11m14s] # write HTML #5296 ab:aaa=aa,aab=ba [11m14s] # write HTML #5297 ab:aaa=aa,aab=bb [11m14s] # write HTML #5298 ab:aaa=aa,aba=aa [11m14s] # write HTML #5299 ab:aaa=aa,aba=ab [11m14s] # write HTML #5300 ab:aaa=aa,aba=bb [11m14s] # write HTML #5301 ab:aaa=aa,abb=aa [11m14s] # write HTML #5302 ab:aaa=aa,abb=ab [11m14s] # write HTML #5303 ab:aaa=aa,abb=ba [11m14s] # write HTML #5304 ab:aaa=aa,abb=bb [11m14s] # write HTML #5305 ab:aaa=aa,bab=aa [11m14s] # write HTML #5306 ab:aaa=aa,bab=ab [11m14s] # write HTML #5307 ab:aaa=aa,bab=bb [11m14s] # write HTML #5308 ab:aaa=aa,bbb=aa [11m14s] # write HTML #5309 ab:aaa=aa,bbb=ab [11m14s] # write HTML #5310 ab:aaa=aa,bbb=bb [11m14s] # write HTML #5311 ab:aaa=ab,aab=aa [11m14s] # write HTML #5312 ab:aaa=ab,aab=ab [11m14s] # write HTML #5313 ab:aaa=ab,aab=ba [11m14s] # write HTML #5314 ab:aaa=ab,aab=bb [11m14s] # write HTML #5319 ab:aaa=ab,abb=aa [11m14s] # write HTML #5320 ab:aaa=ab,abb=ab [11m14s] # write HTML #5321 ab:aaa=ab,abb=ba [11m14s] # write HTML #5322 ab:aaa=ab,abb=bb [11m14s] # write HTML #5323 ab:aaa=ab,baa=aa [11m14s] # write HTML #5324 ab:aaa=ab,baa=ab [11m14s] # write HTML #5325 ab:aaa=ab,baa=ba [11m14s] # write HTML #5326 ab:aaa=ab,baa=bb [11m14s] # write HTML #5327 ab:aaa=ab,bab=aa [11m14s] # write HTML #5328 ab:aaa=ab,bab=ab [11m14s] # write HTML #5329 ab:aaa=ab,bab=ba [11m14s] # write HTML #5330 ab:aaa=ab,bab=bb [11m14s] # write HTML #5331 ab:aaa=ab,bba=aa [11m14s] # write HTML #5332 ab:aaa=ab,bba=ab [11m14s] # write HTML #5333 ab:aaa=ab,bba=ba [11m14s] # write HTML #5334 ab:aaa=ab,bba=bb [11m14s] # write HTML #5335 ab:aaa=ab,bbb=aa [11m14s] # write HTML #5336 ab:aaa=ab,bbb=ab [11m14s] # write HTML #5337 ab:aaa=ab,bbb=ba [11m14s] # write HTML #5338 ab:aaa=bb,aab=aa [11m14s] # write HTML #5339 ab:aaa=bb,aab=ab [11m14s] # write HTML #5340 ab:aaa=bb,aab=ba [11m14s] # write HTML #5341 ab:aaa=bb,aab=bb [11m14s] # write HTML #5342 ab:aaa=bb,aba=aa [11m14s] # write HTML #5344 ab:aaa=bb,aba=bb [11m14s] # write HTML #5345 ab:aaa=bb,abb=aa [11m14s] # write HTML #5346 ab:aaa=bb,abb=ab [11m14s] # write HTML #5348 ab:aaa=bb,abb=bb [11m14s] # write HTML #5349 ab:aaa=bb,bab=aa [11m14s] # write HTML #5351 ab:aaa=bb,bab=bb [11m14s] # write HTML #5352 ab:aaa=bb,bbb=aa [11m14s] # write HTML #5353 ab:aab=aa,aba=aa [11m14s] # write HTML #5354 ab:aab=aa,aba=ab [11m14s] # write HTML #5355 ab:aab=aa,aba=ba [11m14s] # write HTML #5356 ab:aab=aa,aba=bb [11m14s] # write HTML #5357 ab:aab=aa,abb=aa [11m14s] # write HTML #5358 ab:aab=aa,abb=ab [11m14s] # write HTML #5359 ab:aab=aa,abb=ba [11m14s] # write HTML #5360 ab:aab=aa,abb=bb [11m14s] # write HTML #5361 ab:aab=aa,baa=aa [11m14s] # write HTML #5362 ab:aab=aa,baa=ab [11m14s] # write HTML #5363 ab:aab=aa,baa=ba [11m14s] # write HTML #5364 ab:aab=aa,baa=bb [11m14s] # write HTML #5365 ab:aab=aa,bab=aa [11m14s] # write HTML #5366 ab:aab=aa,bab=ab [11m14s] # write HTML #5367 ab:aab=aa,bab=ba [11m14s] # write HTML #5368 ab:aab=aa,bab=bb [11m14s] # write HTML #5369 ab:aab=aa,bba=aa [11m14s] # write HTML #5370 ab:aab=aa,bba=ab [11m14s] # write HTML #5371 ab:aab=aa,bba=ba [11m14s] # write HTML #5372 ab:aab=aa,bba=bb [11m14s] # write HTML #5373 ab:aab=ab,aba=aa [11m14s] # write HTML #5374 ab:aab=ab,aba=ab [11m14s] # write HTML #5375 ab:aab=ab,aba=ba [11m14s] # write HTML #5376 ab:aab=ab,aba=bb [11m14s] # write HTML #5377 ab:aab=ab,abb=aa [11m14s] # write HTML #5378 ab:aab=ab,abb=ab [11m14s] # write HTML #5379 ab:aab=ab,abb=ba [11m14s] # write HTML #5380 ab:aab=ab,baa=ab [11m14s] # write HTML #5381 ab:aab=ab,baa=ba [11m14s] # write HTML #5382 ab:aab=ab,baa=bb [11m14s] # write HTML #5383 ab:aab=ab,bab=aa [11m14s] # write HTML #5384 ab:aab=ab,bab=ab [11m14s] # write HTML #5385 ab:aab=ab,bab=ba [11m14s] # write HTML #5386 ab:aab=ab,bab=bb [11m14s] # write HTML #5387 ab:aab=ab,bba=aa [11m14s] # write HTML #5388 ab:aab=ab,bba=ab [11m14s] # write HTML #5389 ab:aab=ab,bba=ba [11m14s] # write HTML #5390 ab:aab=ba,aba=aa [11m14s] # write HTML #5391 ab:aab=ba,aba=ab [11m14s] # write HTML #5392 ab:aab=ba,aba=ba [11m14s] # write HTML #5393 ab:aab=ba,aba=bb [11m14s] # write HTML #5394 ab:aab=ba,abb=aa [11m14s] # write HTML #5395 ab:aab=ba,abb=ba [11m14s] # write HTML #5396 ab:aab=ba,baa=ab [11m14s] # write HTML #5397 ab:aab=ba,baa=bb [11m14s] # write HTML #5398 ab:aab=ba,bab=aa [11m14s] # write HTML #5399 ab:aab=ba,bab=ab [11m14s] # write HTML #5400 ab:aab=ba,bab=ba [11m14s] # write HTML #5401 ab:aab=ba,bab=bb [11m14s] # write HTML #5404 ab:aab=bb,aba=aa [11m14s] # write HTML #5405 ab:aab=bb,aba=ab [11m14s] # write HTML #5406 ab:aab=bb,aba=ba [11m14s] # write HTML #5407 ab:aab=bb,aba=bb [11m14s] # write HTML #5408 ab:aab=bb,abb=aa [11m14s] # write HTML #5409 ab:aab=bb,baa=bb [11m14s] # write HTML #5410 ab:aab=bb,bab=aa [11m14s] # write HTML #5411 ab:aab=bb,bab=ab [11m14s] # write HTML #5412 ab:aab=bb,bab=ba [11m14s] # write HTML #5413 ab:aab=bb,bab=bb [11m14s] # write HTML #5414 ab:aab=bb,bba=aa [11m14s] # write HTML #5415 ab:aba=aa,bab=aa [11m14s] # write HTML #5416 ab:aba=aa,bab=ab [11m14s] # write HTML #5417 ab:aba=aa,bab=bb [11m14s] # write HTML #5419 ab:aba=ab,bab=ab [11m14s] # write HTML #5420 ab:aba=ab,bab=ba [11m14s] # write HTML #5421 ab:aba=bb,bab=aa [11m14s] # write HTML #5427 ab:aaaa=1,aaabab=1 [11m14s] # write HTML #5430 ab:aaaa=1,aabaab=1 [11m14s] # write HTML #5436 ab:aaaa=1,aabbbb=1 [11m14s] # write HTML #5440 ab:aaaa=1,ababab=1 [11m14s] # write HTML #5442 ab:aaaa=1,ababbb=1 [11m14s] # write HTML #5444 ab:aaaa=1,abbabb=1 [11m14s] # write HTML #5457 ab:aaaa=1,bbbbbb=1 [11m14s] # write HTML #5521 ab:aaab=1,bbbbbb=1 [11m14s] # write HTML #5591 ab:aabb=1,aaabab=1 [11m14s] # write HTML #5597 ab:aabb=1,aababb=1 [11m14s] # write HTML #5605 ab:aabb=1,ababab=1 [11m14s] # write HTML #5622 ab:abab=1,aaaaaa=1 [11m14s] # write HTML #5625 ab:abab=1,aaaabb=1 [11m14s] # write HTML #5629 ab:abab=1,aaabbb=1 [11m14s] # write HTML #5694 ab:aaaa=1,aaaaa=a [11m14s] # write HTML #5709 ab:aaaa=1,aabbb=b [11m14s] # write HTML #5715 ab:aaaa=1,ababb=b [11m14s] # write HTML #5717 ab:aaaa=1,abbab=b [11m14s] # write HTML #5722 ab:aaaa=1,baaab=a [11m14s] # write HTML #5723 ab:aaaa=1,baaab=b [11m14s] # write HTML #5725 ab:aaaa=1,baabb=b [11m14s] # write HTML #5726 ab:aaaa=1,babab=a [11m14s] # write HTML #5727 ab:aaaa=1,babab=b [11m14s] # write HTML #5728 ab:aaaa=1,babbb=a [11m14s] # write HTML #5729 ab:aaaa=1,babbb=b [11m14s] # write HTML #5730 ab:aaaa=1,bbabb=a [11m14s] # write HTML #5731 ab:aaaa=1,bbabb=b [11m14s] # write HTML #5733 ab:aaaa=1,bbbbb=b [11m14s] # write HTML #5736 ab:aaab=1,aaaab=a [11m14s] # write HTML #5745 ab:aaab=1,aabab=b [11m14s] # write HTML #5753 ab:aaab=1,abaab=b [11m14s] # write HTML #5868 ab:aabb=1,aaabb=a [11m14s] # write HTML #5872 ab:aabb=1,aabab=a [11m14s] # write HTML #5873 ab:aabb=1,aabab=b [11m14s] # write HTML #5878 ab:aabb=1,abaab=a [11m14s] # write HTML #5900 ab:abab=1,aaabb=a [11m14s] # write HTML #5901 ab:abab=1,aaabb=b [11m14s] # write HTML #5903 ab:abab=1,aabaa=b [11m14s] # write HTML #5904 ab:abab=1,aabab=a [11m14s] # write HTML #6001 ab:aaa=a,bbbbbb=1 [11m14s] # write HTML #6059 ab:aab=a,ababab=1 [11m14s] # write HTML #6101 ab:aab=a,bbbbbb=1 [11m14s] # write HTML #6102 ab:aab=b,aaaaaa=1 [11m14s] # write HTML #6201 ab:aba=a,bbbbbb=1 [11m14s] # write HTML #6202 ab:aba=b,aaaaaa=1 [11m14s] # write HTML #6205 ab:aba=b,aaaabb=1 [11m14s] # write HTML #6237 ab:aba=b,bbbbbb=1 [11m14s] # write HTML #6238 ab:aaa=a,aaaaa=a [11m14s] # write HTML #6247 ab:aaa=a,aabaa=b [11m14s] # write HTML #6248 ab:aaa=a,aabab=a [11m14s] # write HTML #6249 ab:aaa=a,aabab=b [11m14s] # write HTML #6250 ab:aaa=a,aabba=a [11m14s] # write HTML #6251 ab:aaa=a,aabba=b [11m14s] # write HTML #6252 ab:aaa=a,aabbb=a [11m14s] # write HTML #6253 ab:aaa=a,aabbb=b [11m14s] # write HTML #6254 ab:aaa=a,abaab=a [11m15s] # write HTML #6256 ab:aaa=a,ababa=a [11m15s] # write HTML #6258 ab:aaa=a,ababb=a [11m15s] # write HTML #6259 ab:aaa=a,ababb=b [11m15s] # write HTML #6260 ab:aaa=a,abbab=a [11m15s] # write HTML #6261 ab:aaa=a,abbab=b [11m15s] # write HTML #6262 ab:aaa=a,abbba=a [11m15s] # write HTML #6263 ab:aaa=a,abbba=b [11m15s] # write HTML #6264 ab:aaa=a,abbbb=a [11m15s] # write HTML #6265 ab:aaa=a,abbbb=b [11m15s] # write HTML #6268 ab:aaa=a,baabb=a [11m15s] # write HTML #6269 ab:aaa=a,baabb=b [11m15s] # write HTML #6270 ab:aaa=a,babab=a [11m15s] # write HTML #6271 ab:aaa=a,babab=b [11m15s] # write HTML #6272 ab:aaa=a,babbb=a [11m15s] # write HTML #6273 ab:aaa=a,babbb=b [11m15s] # write HTML #6274 ab:aaa=a,bbabb=a [11m15s] # write HTML #6275 ab:aaa=a,bbabb=b [11m15s] # write HTML #6276 ab:aaa=a,bbbbb=a [11m15s] # write HTML #6277 ab:aaa=a,bbbbb=b [11m15s] # write HTML #6292 ab:aaa=b,aabbb=a [11m15s] # write HTML #6293 ab:aaa=b,aabbb=b [11m15s] # write HTML #6305 ab:aaa=b,abbbb=b [11m15s] # write HTML #6316 ab:aaa=b,bbbbb=a [11m15s] # write HTML #6317 ab:aaa=b,bbbbb=b [11m15s] # write HTML #6318 ab:aab=a,aaaaa=a [11m15s] # write HTML #6324 ab:aab=a,aaabb=a [11m15s] # write HTML #6338 ab:aab=a,ababa=a [11m15s] # write HTML #6341 ab:aab=a,ababb=b [11m15s] # write HTML #6342 ab:aab=a,abbaa=a [11m15s] # write HTML #6345 ab:aab=a,abbab=b [11m15s] # write HTML #6347 ab:aab=a,abbba=b [11m15s] # write HTML #6361 ab:aab=a,babab=b [11m15s] # write HTML #6364 ab:aab=a,babbb=a [11m15s] # write HTML #6374 ab:aab=a,bbbaa=a [11m15s] # write HTML #6376 ab:aab=a,bbbab=a [11m15s] # write HTML #6378 ab:aab=a,bbbba=a [11m15s] # write HTML #6380 ab:aab=a,bbbbb=a [11m15s] # write HTML #6381 ab:aab=a,bbbbb=b [11m15s] # write HTML #6382 ab:aab=b,aaaaa=a [11m15s] # write HTML #6385 ab:aab=b,aaaab=b [11m15s] # write HTML #6397 ab:aab=b,aabbb=b [11m15s] # write HTML #6399 ab:aab=b,abaaa=b [11m15s] # write HTML #6402 ab:aab=b,ababa=a [11m15s] # write HTML #6403 ab:aab=b,ababa=b [11m15s] # write HTML #6405 ab:aab=b,ababb=b [11m15s] # write HTML #6409 ab:aab=b,abbab=b [11m15s] # write HTML #6411 ab:aab=b,abbba=b [11m15s] # write HTML #6412 ab:aab=b,abbbb=a [11m15s] # write HTML #6413 ab:aab=b,abbbb=b [11m15s] # write HTML #6415 ab:aab=b,baaaa=b [11m15s] # write HTML #6423 ab:aab=b,babaa=b [11m15s] # write HTML #6424 ab:aab=b,babab=a [11m15s] # write HTML #6425 ab:aab=b,babab=b [11m15s] # write HTML #6427 ab:aab=b,babba=b [11m15s] # write HTML #6428 ab:aab=b,babbb=a [11m15s] # write HTML #6429 ab:aab=b,babbb=b [11m15s] # write HTML #6431 ab:aab=b,bbaaa=b [11m15s] # write HTML #6435 ab:aab=b,bbaba=b [11m15s] # write HTML #6436 ab:aab=b,bbabb=a [11m15s] # write HTML #6437 ab:aab=b,bbabb=b [11m15s] # write HTML #6439 ab:aab=b,bbbaa=b [11m15s] # write HTML #6441 ab:aab=b,bbbab=b [11m15s] # write HTML #6442 ab:aab=b,bbbba=a [11m15s] # write HTML #6443 ab:aab=b,bbbba=b [11m15s] # write HTML #6445 ab:aab=b,bbbbb=b [11m15s] # write HTML #6446 ab:aba=a,aaaaa=a [11m15s] # write HTML #6452 ab:aba=a,aaabb=a [11m15s] # write HTML #6458 ab:aba=a,aabba=a [11m15s] # write HTML #6460 ab:aba=a,aabbb=a [11m15s] # write HTML #6461 ab:aba=a,aabbb=b [11m15s] # write HTML #6464 ab:aba=a,ababa=a [11m15s] # write HTML #6466 ab:aba=a,ababb=a [11m15s] # write HTML #6469 ab:aba=a,abbab=b [11m15s] # write HTML #6470 ab:aba=a,abbba=a [11m15s] # write HTML #6472 ab:aba=a,abbbb=a [11m15s] # write HTML #6475 ab:aba=a,baaab=b [11m15s] # write HTML #6477 ab:aba=a,baabb=b [11m15s] # write HTML #6481 ab:aba=a,babbb=b [11m15s] # write HTML #6482 ab:aba=a,bbabb=a [11m15s] # write HTML #6485 ab:aba=a,bbbbb=b [11m15s] # write HTML #6486 ab:aba=b,aaaaa=a [11m15s] # write HTML #6489 ab:aba=b,aaaab=b [11m15s] # write HTML #6495 ab:aba=b,aabaa=b [11m15s] # write HTML #6496 ab:aba=b,aabab=a [11m15s] # write HTML #6512 ab:aba=b,abbbb=a [11m15s] # write HTML #6513 ab:aba=b,abbbb=b [11m15s] # write HTML #6514 ab:aba=b,baaab=a [11m15s] # write HTML #6525 ab:aba=b,bbbbb=b [11m15s] # write HTML #6534 ab:aaa=a,aaba=ab [11m15s] # write HTML #6535 ab:aaa=a,aaba=ba [11m15s] # write HTML #6536 ab:aaa=a,aaba=bb [11m15s] # write HTML #6539 ab:aaa=a,aabb=ba [11m15s] # write HTML #6540 ab:aaa=a,aabb=bb [11m15s] # write HTML #6542 ab:aaa=a,abab=ab [11m15s] # write HTML #6543 ab:aaa=a,abab=ba [11m15s] # write HTML #6544 ab:aaa=a,abab=bb [11m15s] # write HTML #6546 ab:aaa=a,abba=ab [11m15s] # write HTML #6549 ab:aaa=a,abbb=ab [11m15s] # write HTML #6550 ab:aaa=a,abbb=ba [11m15s] # write HTML #6551 ab:aaa=a,abbb=bb [11m15s] # write HTML #6552 ab:aaa=a,baab=aa [11m15s] # write HTML #6553 ab:aaa=a,baab=ab [11m15s] # write HTML #6554 ab:aaa=a,baab=bb [11m15s] # write HTML #6556 ab:aaa=a,babb=ab [11m15s] # write HTML #6557 ab:aaa=a,babb=ba [11m15s] # write HTML #6558 ab:aaa=a,babb=bb [11m15s] # write HTML #6559 ab:aaa=a,bbbb=aa [11m15s] # write HTML #6560 ab:aaa=a,bbbb=ab [11m15s] # write HTML #6561 ab:aaa=a,bbbb=bb [11m15s] # write HTML #6587 ab:aaa=b,abbb=bb [11m15s] # write HTML #6597 ab:aaa=b,bbbb=bb [11m15s] # write HTML #6619 ab:aab=a,abab=ab [11m15s] # write HTML #6624 ab:aab=a,abba=ba [11m15s] # write HTML #6629 ab:aab=a,abbb=bb [11m15s] # write HTML #6633 ab:aab=a,baaa=bb [11m15s] # write HTML #6640 ab:aab=a,baba=ba [11m15s] # write HTML #6645 ab:aab=a,babb=bb [11m15s] # write HTML #6652 ab:aab=a,bbab=ba [11m15s] # write HTML #6653 ab:aab=a,bbab=bb [11m15s] # write HTML #6656 ab:aab=a,bbba=ba [11m15s] # write HTML #6657 ab:aab=a,bbba=bb [11m15s] # write HTML #6660 ab:aab=a,bbbb=ba [11m15s] # write HTML #6661 ab:aab=a,bbbb=bb [11m15s] # write HTML #6662 ab:aab=b,aaaa=aa [11m15s] # write HTML #6664 ab:aab=b,aaaa=ba [11m15s] # write HTML #6665 ab:aab=b,aaaa=bb [11m15s] # write HTML #6680 ab:aab=b,abaa=ba [11m15s] # write HTML #6682 ab:aab=b,abab=aa [11m15s] # write HTML #6685 ab:aab=b,abab=bb [11m15s] # write HTML #6686 ab:aab=b,abba=aa [11m15s] # write HTML #6688 ab:aab=b,abba=ba [11m15s] # write HTML #6693 ab:aab=b,abbb=bb [11m15s] # write HTML #6696 ab:aab=b,baaa=ba [11m15s] # write HTML #6697 ab:aab=b,baaa=bb [11m15s] # write HTML #6702 ab:aab=b,baba=aa [11m15s] # write HTML #6704 ab:aab=b,baba=ba [11m15s] # write HTML #6705 ab:aab=b,baba=bb [11m15s] # write HTML #6708 ab:aab=b,babb=ba [11m15s] # write HTML #6709 ab:aab=b,babb=bb [11m15s] # write HTML #6710 ab:aab=b,bbaa=aa [11m15s] # write HTML #6712 ab:aab=b,bbaa=ba [11m15s] # write HTML #6713 ab:aab=b,bbaa=bb [11m15s] # write HTML #6716 ab:aab=b,bbab=ba [11m15s] # write HTML #6717 ab:aab=b,bbab=bb [11m15s] # write HTML #6718 ab:aab=b,bbba=aa [11m15s] # write HTML #6720 ab:aab=b,bbba=ba [11m15s] # write HTML #6721 ab:aab=b,bbba=bb [11m15s] # write HTML #6722 ab:aab=b,bbbb=aa [11m15s] # write HTML #6724 ab:aab=b,bbbb=ba [11m15s] # write HTML #6725 ab:aab=b,bbbb=bb [11m15s] # write HTML #6726 ab:aba=a,aaaa=aa [11m15s] # write HTML #6728 ab:aba=a,aaaa=bb [11m15s] # write HTML #6729 ab:aba=a,aaab=aa [11m15s] # write HTML #6732 ab:aba=a,aaab=bb [11m15s] # write HTML #6737 ab:aba=a,aabb=aa [11m15s] # write HTML #6738 ab:aba=a,aabb=ab [11m15s] # write HTML #6739 ab:aba=a,aabb=ba [11m15s] # write HTML #6740 ab:aba=a,aabb=bb [11m15s] # write HTML #6745 ab:aba=a,abba=aa [11m15s] # write HTML #6746 ab:aba=a,abba=ab [11m15s] # write HTML #6747 ab:aba=a,abba=bb [11m15s] # write HTML #6748 ab:aba=a,abbb=aa [11m15s] # write HTML #6749 ab:aba=a,abbb=ab [11m15s] # write HTML #6750 ab:aba=a,abbb=ba [11m15s] # write HTML #6751 ab:aba=a,abbb=bb [11m15s] # write HTML #6752 ab:aba=a,baab=aa [11m15s] # write HTML #6753 ab:aba=a,baab=ab [11m15s] # write HTML #6754 ab:aba=a,baab=bb [11m15s] # write HTML #6755 ab:aba=a,babb=aa [11m15s] # write HTML #6758 ab:aba=a,babb=bb [11m15s] # write HTML #6759 ab:aba=a,bbbb=aa [11m15s] # write HTML #6761 ab:aba=a,bbbb=bb [11m15s] # write HTML #6762 ab:aba=b,aaaa=aa [11m15s] # write HTML #6764 ab:aba=b,aaaa=bb [11m15s] # write HTML #6773 ab:aba=b,aabb=aa [11m15s] # write HTML #6776 ab:aba=b,aabb=bb [11m15s] # write HTML #6787 ab:aba=b,abbb=bb [11m15s] # write HTML #6788 ab:aba=b,baab=aa [11m15s] # write HTML #6790 ab:aba=b,baab=bb [11m15s] # write HTML #6795 ab:aba=b,bbbb=aa [11m15s] # write HTML #6797 ab:aba=b,bbbb=bb [11m15s] # write HTML #6818 ab:aab=b,abb=aaa [11m15s] # write HTML #6821 ab:aab=b,bab=aaa [11m15s] # write HTML #6824 ab:aab=b,bbb=aaa [11m15s] # write HTML #6826 ab:aba=a,abb=aaa [11m15s] # write HTML #6828 ab:aba=a,baa=aab [11m15s] # write HTML #6832 ab:aba=a,bbb=aaa [11m15s] # write HTML #6834 ab:aba=b,abb=aaa [11m15s] # write HTML #6838 ab:aba=b,bab=aaa [11m15s] # write HTML #6845 ab:bab=b,bbb=bab [11m15s] # write HTML #6910 ab:ba=ab,aaaaaa=1 [11m15s] # write HTML #6917 ab:ba=ab,aaabbb=1 [11m15s] # write HTML #6930 ab:bb=aa,aaaaaa=1 [11m15s] # write HTML #6935 ab:bb=aa,aaabab=1 [11m15s] # write HTML #6950 ab:ab=aa,aaaaa=a [11m15s] # write HTML #6982 ab:ab=aa,baaaa=a [11m15s] # write HTML #6998 ab:ab=aa,bbaaa=a [11m15s] # write HTML #7006 ab:ab=aa,bbbaa=a [11m15s] # write HTML #7010 ab:ab=aa,bbbba=a [11m15s] # write HTML #7013 ab:ab=aa,bbbbb=b [11m15s] # write HTML #7014 ab:ba=ab,aaaaa=a [11m15s] # write HTML #7016 ab:ba=ab,aaaab=a [11m15s] # write HTML #7017 ab:ba=ab,aaaab=b [11m15s] # write HTML #7020 ab:ba=ab,aaabb=a [11m15s] # write HTML #7021 ab:ba=ab,aaabb=b [11m15s] # write HTML #7034 ab:bb=aa,aaaaa=a [11m15s] # write HTML #7039 ab:bb=aa,aaaba=b [11m15s] # write HTML #7050 ab:bb=aa,ababa=a [11m15s] # write HTML #7054 ab:ab=aa,aaaa=aa [11m15s] # write HTML #7056 ab:ab=aa,aaaa=ba [11m15s] # write HTML #7057 ab:ab=aa,aaaa=bb [11m15s] # write HTML #7086 ab:ab=aa,baaa=aa [11m15s] # write HTML #7088 ab:ab=aa,baaa=ba [11m15s] # write HTML #7089 ab:ab=aa,baaa=bb [11m15s] # write HTML #7102 ab:ab=aa,bbaa=aa [11m15s] # write HTML #7104 ab:ab=aa,bbaa=ba [11m15s] # write HTML #7105 ab:ab=aa,bbaa=bb [11m15s] # write HTML #7110 ab:ab=aa,bbba=aa [11m15s] # write HTML #7112 ab:ab=aa,bbba=ba [11m15s] # write HTML #7114 ab:ab=aa,bbbb=aa [11m15s] # write HTML #7116 ab:ab=aa,bbbb=ba [11m15s] # write HTML #7117 ab:ab=aa,bbbb=bb [11m15s] # write HTML #7118 ab:ba=ab,aaaa=aa [11m15s] # write HTML #7119 ab:ba=ab,aaaa=ab [11m15s] # write HTML #7120 ab:ba=ab,aaaa=bb [11m15s] # write HTML #7121 ab:ba=ab,aaab=aa [11m15s] # write HTML #7122 ab:ba=ab,aaab=ab [11m15s] # write HTML #7124 ab:ba=ab,aaab=bb [11m15s] # write HTML #7129 ab:ba=ab,aabb=aa [11m15s] # write HTML #7130 ab:ba=ab,aabb=ab [11m15s] # write HTML #7138 ab:bb=aa,aaaa=aa [11m15s] # write HTML #7139 ab:bb=aa,aaaa=ab [11m15s] # write HTML #7141 ab:bb=aa,aaab=aa [11m15s] # write HTML #7142 ab:bb=aa,aaab=ab [11m15s] # write HTML #7143 ab:bb=aa,aaab=ba [11m15s] # write HTML #7152 ab:bb=aa,abab=aa [11m15s] # write HTML #7153 ab:bb=aa,abab=ab [11m15s] # write HTML #7154 ab:bb=aa,abab=ba [11m15s] # write HTML #7158 ab:ab=aa,aab=aaa [11m15s] # write HTML #7164 ab:ab=aa,baa=aaa [11m15s] # write HTML #7173 ab:ab=aa,bba=aaa [11m15s] # write HTML #7177 ab:ab=aa,bba=baa [11m15s] # write HTML #7179 ab:ab=aa,bbb=aaa [11m15s] # write HTML #7183 ab:ab=aa,bbb=baa [11m15s] # write HTML #7185 ab:ab=aa,bbb=bba [11m15s] # write HTML #7186 ab:ba=ab,aab=aaa [11m15s] # write HTML #7188 ab:ba=ab,aba=aab [11m15s] # write HTML #7189 ab:ba=ab,abb=aaa [11m15s] # write HTML #7190 ab:ba=ab,abb=aab [11m15s] # write HTML #7196 ab:ba=ab,bbb=aaa [11m15s] # write HTML #7197 ab:bb=aa,aab=aaa [11m15s] # write HTML #7198 ab:bb=aa,aba=aaa [11m15s] # write HTML #7199 ab:bb=aa,aba=aab [11m15s] # write HTML #7200 ab:bb=aa,abb=aaa [11m15s] # write HTML #7206 ab:bb=aa,bab=aba [11m15s] # write HTML #7249 ab:aaa=1,ababbbb=1 [11m15s] # write HTML #7279 ab:aaa=1,bbbbbbb=1 [11m15s] # write HTML #7519 ab:aaa=1,ababba=b [11m15s] # write HTML #7529 ab:aaa=1,abbbba=b [11m15s] # write HTML #7531 ab:aaa=1,abbbbb=b [11m15s] # write HTML #7537 ab:aaa=1,baabab=b [11m15s] # write HTML #7539 ab:aaa=1,baabbb=b [11m15s] # write HTML #7541 ab:aaa=1,bababb=b [11m15s] # write HTML #7542 ab:aaa=1,babbab=a [11m15s] # write HTML #7543 ab:aaa=1,babbab=b [11m15s] # write HTML #7544 ab:aaa=1,babbbb=a [11m15s] # write HTML #7545 ab:aaa=1,babbbb=b [11m15s] # write HTML #7546 ab:aaa=1,bbaabb=a [11m15s] # write HTML #7547 ab:aaa=1,bbaabb=b [11m15s] # write HTML #7548 ab:aaa=1,bbabbb=a [11m15s] # write HTML #7549 ab:aaa=1,bbabbb=b [11m15s] # write HTML #7551 ab:aaa=1,bbbbbb=b [11m15s] # write HTML #7773 ab:aaa=1,aabab=bb [11m15s] # write HTML #7777 ab:aaa=1,aabba=bb [11m15s] # write HTML #7781 ab:aaa=1,aabbb=bb [11m15s] # write HTML #7785 ab:aaa=1,abaab=bb [11m15s] # write HTML #7788 ab:aaa=1,ababa=bb [11m15s] # write HTML #7791 ab:aaa=1,ababb=ba [11m15s] # write HTML #7792 ab:aaa=1,ababb=bb [11m15s] # write HTML #7795 ab:aaa=1,abbab=ba [11m15s] # write HTML #7796 ab:aaa=1,abbab=bb [11m15s] # write HTML #7799 ab:aaa=1,abbba=bb [11m15s] # write HTML #7802 ab:aaa=1,abbbb=ba [11m15s] # write HTML #7803 ab:aaa=1,abbbb=bb [11m15s] # write HTML #7808 ab:aaa=1,baabb=ab [11m15s] # write HTML #7810 ab:aaa=1,baabb=bb [11m15s] # write HTML #7813 ab:aaa=1,babab=bb [11m15s] # write HTML #7815 ab:aaa=1,babbb=ab [11m15s] # write HTML #7816 ab:aaa=1,babbb=ba [11m15s] # write HTML #7817 ab:aaa=1,babbb=bb [11m15s] # write HTML #7820 ab:aaa=1,bbabb=bb [11m15s] # write HTML #7823 ab:aaa=1,bbbbb=bb [11m15s] # write HTML #7871 ab:aab=1,ababb=bb [11m15s] # write HTML #8057 ab:aaa=1,abab=abb [11m15s] # write HTML #8060 ab:aaa=1,abab=bba [11m15s] # write HTML #8061 ab:aaa=1,abab=bbb [11m15s] # write HTML #8066 ab:aaa=1,abba=bab [11m15s] # write HTML #8067 ab:aaa=1,abba=bbb [11m15s] # write HTML #8071 ab:aaa=1,abbb=abb [11m15s] # write HTML #8073 ab:aaa=1,abbb=bab [11m15s] # write HTML #8074 ab:aaa=1,abbb=bba [11m15s] # write HTML #8075 ab:aaa=1,abbb=bbb [11m15s] # write HTML #8079 ab:aaa=1,baab=abb [11m15s] # write HTML #8080 ab:aaa=1,baab=bab [11m15s] # write HTML #8081 ab:aaa=1,baab=bbb [11m15s] # write HTML #8085 ab:aaa=1,babb=abb [11m15s] # write HTML #8087 ab:aaa=1,babb=bab [11m15s] # write HTML #8088 ab:aaa=1,babb=bba [11m15s] # write HTML #8089 ab:aaa=1,babb=bbb [11m15s] # write HTML #8093 ab:aaa=1,bbbb=abb [11m15s] # write HTML #8094 ab:aaa=1,bbbb=bab [11m15s] # write HTML #8095 ab:aaa=1,bbbb=bbb [11m15s] # write HTML #8367 ab:aa=a,bbbbbbb=1 [11m15s] # write HTML #8567 ab:ab=a,bbbbbbb=1 [11m15s] # write HTML #8606 ab:aa=a,ababba=a [11m15s] # write HTML #8608 ab:aa=a,ababbb=a [11m15s] # write HTML #8612 ab:aa=a,abbabb=a [11m15s] # write HTML #8614 ab:aa=a,abbbab=a [11m15s] # write HTML #8616 ab:aa=a,abbbba=a [11m15s] # write HTML #8617 ab:aa=a,abbbba=b [11m15s] # write HTML #8618 ab:aa=a,abbbbb=a [11m15s] # write HTML #8619 ab:aa=a,abbbbb=b [11m15s] # write HTML #8628 ab:aa=a,bababb=a [11m15s] # write HTML #8629 ab:aa=a,bababb=b [11m15s] # write HTML #8630 ab:aa=a,babbab=a [11m15s] # write HTML #8631 ab:aa=a,babbab=b [11m15s] # write HTML #8632 ab:aa=a,babbbb=a [11m15s] # write HTML #8633 ab:aa=a,babbbb=b [11m15s] # write HTML #8636 ab:aa=a,bbabbb=a [11m15s] # write HTML #8637 ab:aa=a,bbabbb=b [11m15s] # write HTML #8639 ab:aa=a,bbbbbb=b [11m15s] # write HTML #8691 ab:aa=b,abbbbb=b [11m15s] # write HTML #8712 ab:ab=a,aaaaaa=a [11m15s] # write HTML #8776 ab:ab=a,baaaaa=a [11m15s] # write HTML #8777 ab:ab=a,baaaaa=b [11m15s] # write HTML #8808 ab:ab=a,bbaaaa=a [11m15s] # write HTML #8824 ab:ab=a,bbbaaa=a [11m15s] # write HTML #8832 ab:ab=a,bbbbaa=a [11m15s] # write HTML #8836 ab:ab=a,bbbbba=a [11m15s] # write HTML #8839 ab:ab=a,bbbbbb=b [11m15s] # write HTML #8876 ab:aa=a,ababa=bb [11m15s] # write HTML #8878 ab:aa=a,ababb=ab [11m15s] # write HTML #8879 ab:aa=a,ababb=ba [11m15s] # write HTML #8882 ab:aa=a,abbab=ab [11m15s] # write HTML #8883 ab:aa=a,abbab=ba [11m15s] # write HTML #8884 ab:aa=a,abbab=bb [11m15s] # write HTML #8886 ab:aa=a,abbba=ab [11m15s] # write HTML #8887 ab:aa=a,abbba=bb [11m15s] # write HTML #8889 ab:aa=a,abbbb=ab [11m15s] # write HTML #8890 ab:aa=a,abbbb=ba [11m16s] # write HTML #8891 ab:aa=a,abbbb=bb [11m16s] # write HTML #8900 ab:aa=a,babab=ab [11m16s] # write HTML #8901 ab:aa=a,babab=bb [11m16s] # write HTML #8903 ab:aa=a,babbb=ab [11m16s] # write HTML #8904 ab:aa=a,babbb=ba [11m16s] # write HTML #8905 ab:aa=a,babbb=bb [11m16s] # write HTML #8907 ab:aa=a,bbabb=ab [11m16s] # write HTML #8908 ab:aa=a,bbabb=bb [11m16s] # write HTML #8910 ab:aa=a,bbbbb=ab [11m16s] # write HTML #8911 ab:aa=a,bbbbb=bb [11m16s] # write HTML #8984 ab:ab=a,aaaaa=aa [11m16s] # write HTML #8986 ab:ab=a,aaaaa=ba [11m16s] # write HTML #8987 ab:ab=a,aaaaa=bb [11m16s] # write HTML #9048 ab:ab=a,baaaa=aa [11m16s] # write HTML #9050 ab:ab=a,baaaa=ba [11m16s] # write HTML #9051 ab:ab=a,baaaa=bb [11m16s] # write HTML #9080 ab:ab=a,bbaaa=aa [11m16s] # write HTML #9082 ab:ab=a,bbaaa=ba [11m16s] # write HTML #9083 ab:ab=a,bbaaa=bb [11m16s] # write HTML #9096 ab:ab=a,bbbaa=aa [11m16s] # write HTML #9098 ab:ab=a,bbbaa=ba [11m16s] # write HTML #9104 ab:ab=a,bbbba=aa [11m16s] # write HTML #9106 ab:ab=a,bbbba=ba [11m16s] # write HTML #9108 ab:ab=a,bbbbb=aa [11m16s] # write HTML #9110 ab:ab=a,bbbbb=ba [11m16s] # write HTML #9111 ab:ab=a,bbbbb=bb [11m16s] # write HTML #9144 ab:aa=a,abab=aba [11m16s] # write HTML #9145 ab:aa=a,abab=abb [11m16s] # write HTML #9147 ab:aa=a,abab=bab [11m16s] # write HTML #9148 ab:aa=a,abab=bba [11m16s] # write HTML #9149 ab:aa=a,abab=bbb [11m16s] # write HTML #9152 ab:aa=a,abba=aba [11m16s] # write HTML #9153 ab:aa=a,abba=abb [11m16s] # write HTML #9154 ab:aa=a,abba=bab [11m16s] # write HTML #9155 ab:aa=a,abba=bbb [11m16s] # write HTML #9158 ab:aa=a,abbb=aba [11m16s] # write HTML #9159 ab:aa=a,abbb=abb [11m16s] # write HTML #9161 ab:aa=a,abbb=bab [11m16s] # write HTML #9162 ab:aa=a,abbb=bba [11m16s] # write HTML #9163 ab:aa=a,abbb=bbb [11m16s] # write HTML #9172 ab:aa=a,babb=aba [11m16s] # write HTML #9173 ab:aa=a,babb=abb [11m16s] # write HTML #9175 ab:aa=a,babb=bab [11m16s] # write HTML #9176 ab:aa=a,babb=bba [11m16s] # write HTML #9177 ab:aa=a,babb=bbb [11m16s] # write HTML #9180 ab:aa=a,bbbb=aba [11m16s] # write HTML #9181 ab:aa=a,bbbb=abb [11m16s] # write HTML #9182 ab:aa=a,bbbb=bab [11m16s] # write HTML #9183 ab:aa=a,bbbb=bbb [11m16s] # write HTML #9256 ab:ab=a,aaaa=aaa [11m16s] # write HTML #9260 ab:ab=a,aaaa=baa [11m16s] # write HTML #9262 ab:ab=a,aaaa=bba [11m16s] # write HTML #9263 ab:ab=a,aaaa=bbb [11m16s] # write HTML #9320 ab:ab=a,baaa=aaa [11m16s] # write HTML #9324 ab:ab=a,baaa=baa [11m16s] # write HTML #9326 ab:ab=a,baaa=bba [11m16s] # write HTML #9327 ab:ab=a,baaa=bbb [11m16s] # write HTML #9352 ab:ab=a,bbaa=aaa [11m16s] # write HTML #9356 ab:ab=a,bbaa=baa [11m16s] # write HTML #9358 ab:ab=a,bbaa=bba [11m16s] # write HTML #9359 ab:ab=a,bbaa=bbb [11m16s] # write HTML #9368 ab:ab=a,bbba=aaa [11m16s] # write HTML #9372 ab:ab=a,bbba=baa [11m16s] # write HTML #9374 ab:ab=a,bbba=bba [11m16s] # write HTML #9375 ab:ab=a,bbba=bbb [11m16s] # write HTML #9376 ab:ab=a,bbbb=aaa [11m16s] # write HTML #9380 ab:ab=a,bbbb=baa [11m16s] # write HTML #9382 ab:ab=a,bbbb=bba [11m16s] # write HTML #9383 ab:ab=a,bbbb=bbb [11m16s] # write HTML #9456 ab:aa=1,abababab=1 [11m16s] # write HTML #9474 ab:aa=1,abbabbbb=1 [11m16s] # write HTML #9478 ab:aa=1,abbbabbb=1 [11m16s] # write HTML #9519 ab:aa=1,bbbbbbbb=1 [11m16s] # write HTML #9733 ab:aa=1,abababb=b [11m16s] # write HTML #9737 ab:aa=1,ababbba=b [11m16s] # write HTML #9739 ab:aa=1,ababbbb=b [11m16s] # write HTML #9747 ab:aa=1,abbabba=b [11m16s] # write HTML #9749 ab:aa=1,abbabbb=b [11m16s] # write HTML #9755 ab:aa=1,abbbbab=b [11m16s] # write HTML #9757 ab:aa=1,abbbbba=b [11m16s] # write HTML #9759 ab:aa=1,abbbbbb=b [11m16s] # write HTML #9779 ab:aa=1,bababab=b [11m16s] # write HTML #9781 ab:aa=1,bababbb=b [11m16s] # write HTML #9783 ab:aa=1,babbabb=b [11m16s] # write HTML #9785 ab:aa=1,babbbab=b [11m16s] # write HTML #9787 ab:aa=1,babbbbb=b [11m16s] # write HTML #9795 ab:aa=1,bbabbbb=b [11m16s] # write HTML #9799 ab:aa=1,bbbbbbb=b [11m16s] # write HTML #10004 ab:aa=1,ababba=bb [11m16s] # write HTML #10008 ab:aa=1,ababbb=bb [11m16s] # write HTML #10016 ab:aa=1,abbabb=bb [11m16s] # write HTML #10020 ab:aa=1,abbbab=bb [11m16s] # write HTML #10023 ab:aa=1,abbbba=bb [11m16s] # write HTML #10027 ab:aa=1,abbbbb=bb [11m16s] # write HTML #10046 ab:aa=1,bababb=bb [11m16s] # write HTML #10049 ab:aa=1,babbab=bb [11m16s] # write HTML #10053 ab:aa=1,babbbb=bb [11m16s] # write HTML #10060 ab:aa=1,bbabbb=bb [11m16s] # write HTML #10063 ab:aa=1,bbbbbb=bb [11m16s] # write HTML #10273 ab:aa=1,ababa=bbb [11m16s] # write HTML #10279 ab:aa=1,ababb=bab [11m16s] # write HTML #10281 ab:aa=1,ababb=bbb [11m16s] # write HTML #10287 ab:aa=1,abbab=bab [11m16s] # write HTML #10289 ab:aa=1,abbab=bbb [11m16s] # write HTML #10295 ab:aa=1,abbba=bbb [11m16s] # write HTML #10301 ab:aa=1,abbbb=bab [11m16s] # write HTML #10303 ab:aa=1,abbbb=bbb [11m16s] # write HTML #10322 ab:aa=1,babab=bab [11m16s] # write HTML #10323 ab:aa=1,babab=bbb [11m16s] # write HTML #10329 ab:aa=1,babbb=bab [11m16s] # write HTML #10331 ab:aa=1,babbb=bbb [11m16s] # write HTML #10336 ab:aa=1,bbabb=bab [11m16s] # write HTML #10337 ab:aa=1,bbabb=bbb [11m16s] # write HTML #10342 ab:aa=1,bbbbb=bab [11m16s] # write HTML #10343 ab:aa=1,bbbbb=bbb [11m16s] # write HTML #10527 ab:aa=1,bbab=babb [11m16s] # write HTML #10537 ab:aa=1,bbbb=babb [11m16s] # write HTML #10612 ab:aaaa=aaa,bbbb=1 [11m16s] # write HTML #10627 ab:aaaa=aab,bbbb=1 [11m16s] # write HTML #10636 ab:aaaa=aba,bbbb=1 [11m16s] # write HTML #10651 ab:aaaa=abb,bbbb=1 [11m16s] # write HTML #10660 ab:aaaa=bab,bbbb=1 [11m16s] # write HTML #10664 ab:aaaa=bbb,abab=1 [11m16s] # write HTML #10683 ab:aaab=aaa,bbbb=1 [11m16s] # write HTML #10711 ab:aaab=aba,bbbb=1 [11m16s] # write HTML #10729 ab:aaab=baa,abab=1 [11m16s] # write HTML #10739 ab:aaab=baa,bbbb=1 [11m16s] # write HTML #10757 ab:aaab=bba,abab=1 [11m16s] # write HTML #10767 ab:aaab=bba,bbbb=1 [11m16s] # write HTML #10794 ab:aaba=aaa,bbbb=1 [11m16s] # write HTML #10807 ab:aaba=aab,bbbb=1 [11m16s] # write HTML #10820 ab:aaba=aba,bbbb=1 [11m16s] # write HTML #10833 ab:aaba=abb,bbbb=1 [11m16s] # write HTML #10846 ab:aaba=baa,bbbb=1 [11m16s] # write HTML #10859 ab:aaba=bab,bbbb=1 [11m16s] # write HTML #10872 ab:aaba=bba,bbbb=1 [11m16s] # write HTML #10887 ab:aabb=aaa,abab=1 [11m16s] # write HTML #10897 ab:aabb=aaa,bbbb=1 [11m16s] # write HTML #10899 ab:aabb=aab,abab=1 [11m16s] # write HTML #10911 ab:aabb=aba,abab=1 [11m16s] # write HTML #10921 ab:aabb=aba,bbbb=1 [11m16s] # write HTML #10926 ab:aabb=baa,abab=1 [11m16s] # write HTML #10936 ab:aabb=baa,bbbb=1 [11m16s] # write HTML #10942 ab:aabb=bba,bbbb=1 [11m16s] # write HTML #10963 ab:abab=aaa,bbbb=1 [11m16s] # write HTML #11016 ab:abba=aaa,bbbb=1 [11m16s] # write HTML #11025 ab:abba=aab,bbbb=1 [11m16s] # write HTML #11032 ab:abba=aba,bbbb=1 [11m16s] # write HTML #11041 ab:abba=abb,bbbb=1 [11m16s] # write HTML #11058 ab:abba=bbb,baba=1 [11m16s] # write HTML #11071 ab:baab=aaa,bbbb=1 [11m16s] # write HTML #11074 ab:baab=aab,bbbb=1 [11m16s] # write HTML #11076 ab:baab=aba,bbbb=1 [11m16s] # write HTML #11114 ab:aaaaa=a,bbbbb=1 [11m16s] # write HTML #11127 ab:aaaaa=b,abbbb=1 [11m16s] # write HTML #11133 ab:aaaaa=b,bbbbb=1 [11m16s] # write HTML #11163 ab:aaaab=a,bbbbb=1 [11m16s] # write HTML #11222 ab:aaaba=a,bbbbb=1 [11m16s] # write HTML #11251 ab:aaaba=b,bbbbb=1 [11m16s] # write HTML #11253 ab:aaabb=a,aabab=1 [11m16s] # write HTML #11259 ab:aaabb=a,ababb=1 [11m16s] # write HTML #11281 ab:aaabb=b,aabab=1 [11m16s] # write HTML #11287 ab:aaabb=b,ababb=1 [11m16s] # write HTML #11325 ab:aabaa=a,bbbbb=1 [11m16s] # write HTML #11343 ab:aabaa=b,bbbbb=1 [11m16s] # write HTML #11345 ab:aabab=a,aabbb=1 [11m16s] # write HTML #11369 ab:aabab=a,bbbbb=1 [11m16s] # write HTML #11371 ab:aabab=b,aabbb=1 [11m16s] # write HTML #11400 ab:aabba=a,ababb=1 [11m16s] # write HTML #11420 ab:aabba=a,bbbbb=1 [11m16s] # write HTML #11510 ab:ababa=a,bbaaa=1 [11m16s] # write HTML #11513 ab:ababa=a,bbbbb=1 [11m16s] # write HTML #11515 ab:ababa=b,abbaa=1 [11m16s] # write HTML #11569 ab:abbba=a,bbbbb=1 [11m16s] # write HTML #11590 ab:baaab=a,bbbbb=1 [11m16s] # write HTML #11604 ab:baabb=a,bbbbb=1 [11m16s] # write HTML #11608 ab:babaa=a,bbaaa=1 [11m16s] # write HTML #11609 ab:babaa=b,bbaaa=1 [11m16s] # write HTML #11639 ab:aaaa=aa,bbbbb=1 [11m16s] # write HTML #11723 ab:aaab=aa,bbbbb=1 [11m16s] # write HTML #11787 ab:aaab=ba,bbbbb=1 [11m16s] # write HTML #11851 ab:aaba=aa,bbbbb=1 [11m16s] # write HTML #11915 ab:aaba=ba,bbbbb=1 [11m16s] # write HTML #11953 ab:aabb=aa,aabab=1 [11m16s] # write HTML #11959 ab:aabb=aa,ababb=1 [11m16s] # write HTML #11985 ab:aabb=ab,aabab=1 [11m16s] # write HTML #12001 ab:aabb=ba,aabab=1 [11m16s] # write HTML #12043 ab:abab=aa,bbbbb=1 [11m16s] # write HTML #12047 ab:abab=ab,aaabb=1 [11m16s] # write HTML #12095 ab:abba=aa,bbbbb=1 [11m16s] # write HTML #12128 ab:abba=bb,aaaaa=1 [11m16s] # write HTML #12149 ab:aaaa=aa,aaab=b [11m16s] # write HTML #12151 ab:aaaa=aa,aaba=b [11m16s] # write HTML #12153 ab:aaaa=aa,aabb=b [11m16s] # write HTML #12156 ab:aaaa=aa,abba=a [11m16s] # write HTML #12157 ab:aaaa=aa,abba=b [11m16s] # write HTML #12158 ab:aaaa=aa,abbb=a [11m16s] # write HTML #12159 ab:aaaa=aa,abbb=b [11m16s] # write HTML #12161 ab:aaaa=aa,baab=b [11m16s] # write HTML #12162 ab:aaaa=aa,babb=a [11m16s] # write HTML #12163 ab:aaaa=aa,babb=b [11m16s] # write HTML #12164 ab:aaaa=aa,bbbb=a [11m16s] # write HTML #12165 ab:aaaa=aa,bbbb=b [11m16s] # write HTML #12170 ab:aaaa=ab,aabb=a [11m16s] # write HTML #12178 ab:aaaa=ab,abbb=a [11m16s] # write HTML #12179 ab:aaaa=ab,abbb=b [11m16s] # write HTML #12181 ab:aaaa=ab,baaa=b [11m16s] # write HTML #12182 ab:aaaa=ab,baab=a [11m16s] # write HTML #12183 ab:aaaa=ab,baab=b [11m16s] # write HTML #12186 ab:aaaa=ab,babb=a [11m16s] # write HTML #12187 ab:aaaa=ab,babb=b [11m16s] # write HTML #12188 ab:aaaa=ab,bbaa=a [11m16s] # write HTML #12190 ab:aaaa=ab,bbab=a [11m16s] # write HTML #12192 ab:aaaa=ab,bbba=a [11m16s] # write HTML #12194 ab:aaaa=ab,bbbb=a [11m16s] # write HTML #12195 ab:aaaa=ab,bbbb=b [11m16s] # write HTML #12196 ab:aaaa=bb,aaab=a [11m16s] # write HTML #12197 ab:aaaa=bb,aaab=b [11m16s] # write HTML #12206 ab:aaaa=bb,abbb=a [11m16s] # write HTML #12207 ab:aaaa=bb,abbb=b [11m16s] # write HTML #12209 ab:aaaa=bb,baab=b [11m16s] # write HTML #12212 ab:aaaa=bb,bbbb=a [11m16s] # write HTML #12224 ab:aaab=aa,abbb=a [11m16s] # write HTML #12232 ab:aaab=aa,babb=a [11m16s] # write HTML #12236 ab:aaab=aa,bbab=a [11m16s] # write HTML #12238 ab:aaab=aa,bbba=a [11m16s] # write HTML #12240 ab:aaab=aa,bbbb=a [11m16s] # write HTML #12241 ab:aaab=aa,bbbb=b [11m16s] # write HTML #12255 ab:aaab=ab,baaa=b [11m16s] # write HTML #12257 ab:aaab=ab,baab=b [11m16s] # write HTML #12259 ab:aaab=ab,baba=b [11m16s] # write HTML #12261 ab:aaab=ab,babb=b [11m16s] # write HTML #12263 ab:aaab=ab,bbaa=b [11m16s] # write HTML #12265 ab:aaab=ab,bbab=b [11m16s] # write HTML #12266 ab:aaab=ab,bbba=a [11m16s] # write HTML #12267 ab:aaab=ab,bbba=b [11m16s] # write HTML #12268 ab:aaab=ab,bbbb=a [11m16s] # write HTML #12269 ab:aaab=ab,bbbb=b [11m16s] # write HTML #12271 ab:aaab=ba,aaba=b [11m16s] # write HTML #12275 ab:aaab=ba,abaa=b [11m16s] # write HTML #12280 ab:aaab=ba,abbb=a [11m16s] # write HTML #12283 ab:aaab=ba,baaa=b [11m16s] # write HTML #12285 ab:aaab=ba,baab=b [11m16s] # write HTML #12288 ab:aaab=ba,babb=a [11m16s] # write HTML #12289 ab:aaab=ba,babb=b [11m16s] # write HTML #12294 ab:aaab=ba,bbba=a [11m16s] # write HTML #12297 ab:aaab=ba,bbbb=b [11m16s] # write HTML #12306 ab:aaab=bb,abba=a [11m16s] # write HTML #12309 ab:aaab=bb,abbb=b [11m16s] # write HTML #12311 ab:aaab=bb,baaa=b [11m16s] # write HTML #12313 ab:aaab=bb,baab=b [11m16s] # write HTML #12315 ab:aaab=bb,baba=b [11m16s] # write HTML #12317 ab:aaab=bb,babb=b [11m16s] # write HTML #12319 ab:aaab=bb,bbaa=b [11m16s] # write HTML #12321 ab:aaab=bb,bbab=b [11m16s] # write HTML #12322 ab:aaab=bb,bbba=a [11m16s] # write HTML #12323 ab:aaab=bb,bbba=b [11m16s] # write HTML #12324 ab:aaab=bb,bbbb=a [11m16s] # write HTML #12325 ab:aaab=bb,bbbb=b [11m16s] # write HTML #12326 ab:aaba=aa,aabb=a [11m16s] # write HTML #12332 ab:aaba=aa,abba=a [11m16s] # write HTML #12334 ab:aaba=aa,abbb=a [11m16s] # write HTML #12339 ab:aaba=aa,baab=b [11m16s] # write HTML #12342 ab:aaba=aa,babb=a [11m16s] # write HTML #12343 ab:aaba=aa,babb=b [11m16s] # write HTML #12347 ab:aaba=aa,bbab=b [11m16s] # write HTML #12348 ab:aaba=aa,bbba=a [11m16s] # write HTML #12351 ab:aaba=aa,bbbb=b [11m16s] # write HTML #12360 ab:aaba=ab,abbb=a [11m16s] # write HTML #12363 ab:aaba=ab,baaa=b [11m16s] # write HTML #12365 ab:aaba=ab,baab=b [11m16s] # write HTML #12369 ab:aaba=ab,babb=b [11m16s] # write HTML #12374 ab:aaba=ab,bbba=a [11m16s] # write HTML #12377 ab:aaba=ab,bbbb=b [11m16s] # write HTML #12378 ab:aaba=ba,aabb=a [11m16s] # write HTML #12386 ab:aaba=ba,abbb=a [11m16s] # write HTML #12400 ab:aaba=ba,bbba=a [11m16s] # write HTML #12403 ab:aaba=ba,bbbb=b [11m16s] # write HTML #12413 ab:aaba=bb,abbb=b [11m16s] # write HTML #12415 ab:aaba=bb,baaa=b [11m16s] # write HTML #12421 ab:aaba=bb,babb=b [11m16s] # write HTML #12429 ab:aaba=bb,bbbb=b [11m16s] # write HTML #12430 ab:aabb=aa,abaa=a [11m16s] # write HTML #12434 ab:aabb=aa,abba=a [11m16s] # write HTML #12439 ab:aabb=aa,baaa=b [11m16s] # write HTML #12441 ab:aabb=aa,baab=b [11m16s] # write HTML #12442 ab:aabb=aa,baba=a [11m16s] # write HTML #12444 ab:aabb=aa,babb=a [11m16s] # write HTML #12445 ab:aabb=aa,babb=b [11m16s] # write HTML #12448 ab:aabb=aa,bbab=a [11m16s] # write HTML #12449 ab:aabb=aa,bbab=b [11m16s] # write HTML #12450 ab:aabb=aa,bbba=a [11m16s] # write HTML #12452 ab:aabb=aa,bbbb=a [11m16s] # write HTML #12454 ab:aabb=ab,abaa=a [11m16s] # write HTML #12457 ab:aabb=ab,abba=a [11m16s] # write HTML #12461 ab:aabb=ab,baaa=a [11m16s] # write HTML #12462 ab:aabb=ab,baaa=b [11m16s] # write HTML #12465 ab:aabb=ab,babb=b [11m16s] # write HTML #12466 ab:aabb=ab,bbaa=a [11m16s] # write HTML #12468 ab:aabb=ab,bbbb=b [11m16s] # write HTML #12477 ab:aabb=ba,baaa=b [11m17s] # write HTML #12483 ab:aabb=ba,bbbb=b [11m17s] # write HTML #12484 ab:aabb=bb,abbb=a [11m17s] # write HTML #12487 ab:aabb=bb,babb=b [11m17s] # write HTML #12498 ab:abab=aa,abba=a [11m17s] # write HTML #12499 ab:abab=aa,abba=b [11m17s] # write HTML #12500 ab:abab=aa,abbb=a [11m17s] # write HTML #12508 ab:abab=aa,babb=a [11m17s] # write HTML #12512 ab:abab=aa,bbab=a [11m17s] # write HTML #12514 ab:abab=aa,bbba=a [11m17s] # write HTML #12517 ab:abab=aa,bbbb=b [11m17s] # write HTML #12523 ab:abab=ab,baaa=b [11m17s] # write HTML #12527 ab:abab=ab,bbaa=a [11m17s] # write HTML #12531 ab:abab=ab,bbbb=b [11m17s] # write HTML #12534 ab:abab=ba,abbb=a [11m17s] # write HTML #12537 ab:abab=ba,baaa=b [11m17s] # write HTML #12545 ab:abab=ba,bbbb=b [11m17s] # write HTML #12553 ab:abab=bb,bbbb=b [11m17s] # write HTML #12554 ab:abba=aa,abbb=a [11m17s] # write HTML #12557 ab:abba=aa,baaa=b [11m17s] # write HTML #12559 ab:abba=aa,baab=b [11m17s] # write HTML #12562 ab:abba=aa,babb=a [11m17s] # write HTML #12563 ab:abba=aa,babb=b [11m17s] # write HTML #12567 ab:abba=aa,bbbb=b [11m17s] # write HTML #12571 ab:abba=ab,baaa=b [11m17s] # write HTML #12582 ab:abba=ab,bbba=a [11m17s] # write HTML #12585 ab:abba=ab,bbbb=b [11m17s] # write HTML #12591 ab:abba=ba,bbaa=b [11m17s] # write HTML #12595 ab:abba=bb,baaa=b [11m17s] # write HTML #12597 ab:abba=bb,baab=b [11m17s] # write HTML #12606 ab:abbb=aa,bbbb=a [11m17s] # write HTML #12607 ab:abbb=aa,bbbb=b [11m17s] # write HTML #12609 ab:abbb=ab,bbbb=b [11m17s] # write HTML #12611 ab:abbb=ba,bbbb=b [11m17s] # write HTML #12614 ab:baab=aa,babb=a [11m17s] # write HTML #12615 ab:baab=aa,babb=b [11m17s] # write HTML #12623 ab:baab=ab,bbbb=b [11m17s] # write HTML #12625 ab:baab=bb,babb=b [11m17s] # write HTML #12627 ab:baab=bb,bbbb=b [11m17s] # write HTML #12631 ab:baba=ba,bbaa=a [11m17s] # write HTML #12633 ab:babb=aa,bbbb=b [11m17s] # write HTML #12635 ab:babb=ab,bbbb=b [11m17s] # write HTML #12637 ab:babb=ba,bbbb=b [11m17s] # write HTML #12671 ab:aab=aaa,bbbbb=1 [11m17s] # write HTML #12691 ab:aba=aaa,bbbbb=1 [11m17s] # write HTML #12699 ab:aba=aab,aabbb=1 [11m17s] # write HTML #12707 ab:aba=aab,abbbb=1 [11m17s] # write HTML #12723 ab:aba=aab,bbbbb=1 [11m17s] # write HTML #12823 ab:baa=aab,bbbbb=1 [11m17s] # write HTML #12892 ab:aab=aaa,abba=a [11m17s] # write HTML #12894 ab:aab=aaa,abbb=a [11m17s] # write HTML #12897 ab:aab=aaa,baaa=b [11m17s] # write HTML #12902 ab:aab=aaa,babb=a [11m17s] # write HTML #12903 ab:aab=aaa,babb=b [11m17s] # write HTML #12906 ab:aab=aaa,bbab=a [11m17s] # write HTML #12907 ab:aab=aaa,bbab=b [11m17s] # write HTML #12908 ab:aab=aaa,bbba=a [11m17s] # write HTML #12910 ab:aab=aaa,bbbb=a [11m17s] # write HTML #12911 ab:aab=aaa,bbbb=b [11m17s] # write HTML #12918 ab:aba=aaa,aabb=a [11m17s] # write HTML #12922 ab:aba=aaa,abba=a [11m17s] # write HTML #12924 ab:aba=aaa,abbb=a [11m17s] # write HTML #12927 ab:aba=aaa,baab=b [11m17s] # write HTML #12928 ab:aba=aaa,babb=a [11m17s] # write HTML #12929 ab:aba=aaa,babb=b [11m17s] # write HTML #12931 ab:aba=aaa,bbbb=b [11m17s] # write HTML #12932 ab:aba=aab,aaaa=a [11m17s] # write HTML #12944 ab:aba=aab,abba=a [11m17s] # write HTML #12946 ab:aba=aab,abbb=a [11m17s] # write HTML #12947 ab:aba=aab,abbb=b [11m17s] # write HTML #12949 ab:aba=aab,baaa=b [11m17s] # write HTML #12951 ab:aba=aab,baab=b [11m17s] # write HTML #12954 ab:aba=aab,babb=a [11m17s] # write HTML #12955 ab:aba=aab,babb=b [11m17s] # write HTML #12956 ab:aba=aab,bbaa=a [11m17s] # write HTML #12958 ab:aba=aab,bbab=a [11m17s] # write HTML #12959 ab:aba=aab,bbab=b [11m17s] # write HTML #12960 ab:aba=aab,bbba=a [11m17s] # write HTML #12963 ab:aba=aab,bbbb=b [11m17s] # write HTML #12968 ab:abb=aaa,aaba=a [11m17s] # write HTML #12972 ab:abb=aaa,abaa=a [11m17s] # write HTML #12981 ab:abb=aaa,baaa=b [11m17s] # write HTML #12982 ab:abb=aaa,baab=a [11m17s] # write HTML #12983 ab:abb=aaa,baab=b [11m17s] # write HTML #12984 ab:abb=aaa,baba=a [11m17s] # write HTML #12985 ab:abb=aaa,baba=b [11m17s] # write HTML #12988 ab:abb=aaa,bbaa=a [11m17s] # write HTML #12992 ab:abb=aaa,bbba=a [11m17s] # write HTML #12996 ab:abb=aab,aaaa=a [11m17s] # write HTML #13000 ab:abb=aab,aaba=a [11m17s] # write HTML #13003 ab:abb=aab,abaa=a [11m17s] # write HTML #13004 ab:abb=aab,abaa=b [11m17s] # write HTML #13008 ab:abb=aab,baaa=a [11m17s] # write HTML #13009 ab:abb=aab,baaa=b [11m17s] # write HTML #13011 ab:abb=aab,bbaa=a [11m17s] # write HTML #13012 ab:abb=aba,aaaa=a [11m17s] # write HTML #13016 ab:abb=aba,aaba=a [11m17s] # write HTML #13020 ab:abb=aba,abaa=a [11m17s] # write HTML #13029 ab:abb=aba,baaa=b [11m17s] # write HTML #13036 ab:abb=aba,bbaa=a [11m17s] # write HTML #13040 ab:abb=aba,bbba=a [11m17s] # write HTML #13043 ab:abb=aba,bbbb=b [11m17s] # write HTML #13054 ab:baa=aab,abba=a [11m17s] # write HTML #13055 ab:baa=aab,abba=b [11m17s] # write HTML #13056 ab:baa=aab,abbb=a [11m17s] # write HTML #13057 ab:baa=aab,abbb=b [11m17s] # write HTML #13060 ab:baa=aab,babb=a [11m17s] # write HTML #13061 ab:baa=aab,babb=b [11m17s] # write HTML #13063 ab:baa=aab,bbbb=b [11m17s] # write HTML #13064 ab:baa=abb,aaaa=a [11m17s] # write HTML #13067 ab:baa=abb,aaab=b [11m17s] # write HTML #13091 ab:bab=aaa,abba=b [11m17s] # write HTML #13092 ab:bab=aaa,abbb=a [11m17s] # write HTML #13095 ab:bab=aaa,baab=b [11m17s] # write HTML #13099 ab:bab=aaa,bbbb=b [11m17s] # write HTML #13100 ab:bab=aba,aaaa=a [11m17s] # write HTML #13103 ab:bab=aba,aaab=b [11m17s] # write HTML #13109 ab:bab=aba,abba=b [11m17s] # write HTML #13110 ab:bbb=aaa,aaaa=a [11m17s] # write HTML #13115 ab:bbb=aaa,aaba=b [11m17s] # write HTML #13118 ab:bbb=aaa,abba=a [11m17s] # write HTML #13119 ab:bbb=aaa,abba=b [11m17s] # write HTML #13120 ab:aab=aaa,aba=aa [11m17s] # write HTML #13121 ab:aab=aaa,aba=ab [11m17s] # write HTML #13122 ab:aab=aaa,aba=ba [11m17s] # write HTML #13123 ab:aab=aaa,aba=bb [11m17s] # write HTML #13124 ab:aab=aaa,abb=aa [11m17s] # write HTML #13125 ab:aab=aaa,abb=ab [11m17s] # write HTML #13126 ab:aab=aaa,abb=ba [11m17s] # write HTML #13127 ab:aab=aaa,abb=bb [11m17s] # write HTML #13128 ab:aab=aaa,baa=aa [11m17s] # write HTML #13129 ab:aab=aaa,baa=ab [11m17s] # write HTML #13130 ab:aab=aaa,baa=ba [11m17s] # write HTML #13131 ab:aab=aaa,baa=bb [11m17s] # write HTML #13132 ab:aab=aaa,bab=aa [11m17s] # write HTML #13133 ab:aab=aaa,bab=ab [11m17s] # write HTML #13134 ab:aab=aaa,bab=ba [11m17s] # write HTML #13135 ab:aab=aaa,bab=bb [11m17s] # write HTML #13136 ab:aab=aaa,bba=aa [11m17s] # write HTML #13137 ab:aab=aaa,bba=ab [11m17s] # write HTML #13138 ab:aab=aaa,bba=ba [11m17s] # write HTML #13139 ab:aab=aaa,bba=bb [11m17s] # write HTML #13140 ab:aab=aaa,bbb=aa [11m17s] # write HTML #13141 ab:aab=aaa,bbb=ab [11m17s] # write HTML #13142 ab:aab=aaa,bbb=ba [11m17s] # write HTML #13143 ab:aab=aaa,bbb=bb [11m17s] # write HTML #13144 ab:aba=aaa,abb=aa [11m17s] # write HTML #13145 ab:aba=aaa,abb=ab [11m17s] # write HTML #13146 ab:aba=aaa,abb=ba [11m17s] # write HTML #13147 ab:aba=aaa,abb=bb [11m17s] # write HTML #13148 ab:aba=aaa,baa=aa [11m17s] # write HTML #13149 ab:aba=aaa,baa=ab [11m17s] # write HTML #13150 ab:aba=aaa,baa=ba [11m17s] # write HTML #13151 ab:aba=aaa,baa=bb [11m17s] # write HTML #13152 ab:aba=aaa,bab=aa [11m17s] # write HTML #13153 ab:aba=aaa,bab=ab [11m17s] # write HTML #13154 ab:aba=aaa,bab=bb [11m17s] # write HTML #13155 ab:aba=aaa,bbb=aa [11m17s] # write HTML #13156 ab:aba=aaa,bbb=ab [11m17s] # write HTML #13157 ab:aba=aaa,bbb=bb [11m17s] # write HTML #13158 ab:aba=aab,abb=aa [11m17s] # write HTML #13159 ab:aba=aab,abb=ab [11m17s] # write HTML #13160 ab:aba=aab,abb=ba [11m17s] # write HTML #13161 ab:aba=aab,abb=bb [11m17s] # write HTML #13162 ab:aba=aab,baa=aa [11m17s] # write HTML #13163 ab:aba=aab,baa=ab [11m17s] # write HTML #13164 ab:aba=aab,baa=ba [11m17s] # write HTML #13165 ab:aba=aab,baa=bb [11m17s] # write HTML #13166 ab:aba=aab,bab=aa [11m17s] # write HTML #13167 ab:aba=aab,bab=ab [11m17s] # write HTML #13168 ab:aba=aab,bab=ba [11m17s] # write HTML #13169 ab:aba=aab,bab=bb [11m17s] # write HTML #13170 ab:aba=aab,bba=aa [11m17s] # write HTML #13171 ab:aba=aab,bba=ab [11m17s] # write HTML #13172 ab:aba=aab,bba=ba [11m17s] # write HTML #13173 ab:aba=aab,bba=bb [11m17s] # write HTML #13174 ab:aba=aab,bbb=aa [11m17s] # write HTML #13175 ab:aba=aab,bbb=ab [11m17s] # write HTML #13176 ab:aba=aab,bbb=ba [11m17s] # write HTML #13177 ab:aba=aab,bbb=bb [11m17s] # write HTML #13178 ab:abb=aaa,baa=aa [11m17s] # write HTML #13179 ab:abb=aaa,baa=ab [11m17s] # write HTML #13180 ab:abb=aaa,baa=ba [11m17s] # write HTML #13181 ab:abb=aaa,baa=bb [11m17s] # write HTML #13182 ab:abb=aaa,bab=aa [11m17s] # write HTML #13183 ab:abb=aaa,bab=ab [11m17s] # write HTML #13184 ab:abb=aaa,bab=ba [11m17s] # write HTML #13185 ab:abb=aaa,bab=bb [11m17s] # write HTML #13186 ab:abb=aaa,bba=aa [11m17s] # write HTML #13187 ab:abb=aaa,bba=ab [11m17s] # write HTML #13188 ab:abb=aaa,bba=ba [11m17s] # write HTML #13189 ab:abb=aaa,bba=bb [11m17s] # write HTML #13190 ab:abb=aaa,bbb=aa [11m17s] # write HTML #13191 ab:abb=aaa,bbb=ab [11m17s] # write HTML #13192 ab:abb=aaa,bbb=ba [11m17s] # write HTML #13193 ab:abb=aaa,bbb=bb [11m17s] # write HTML #13194 ab:abb=aab,baa=aa [11m17s] # write HTML #13195 ab:abb=aab,baa=ab [11m17s] # write HTML #13196 ab:abb=aab,baa=ba [11m17s] # write HTML #13197 ab:abb=aab,baa=bb [11m17s] # write HTML #13198 ab:abb=aab,bab=aa [11m17s] # write HTML #13199 ab:abb=aab,bab=ab [11m17s] # write HTML #13200 ab:abb=aab,bab=ba [11m17s] # write HTML #13201 ab:abb=aab,bab=bb [11m17s] # write HTML #13202 ab:abb=aab,bbb=aa [11m17s] # write HTML #13203 ab:abb=aab,bbb=ab [11m17s] # write HTML #13204 ab:abb=aab,bbb=ba [11m17s] # write HTML #13205 ab:abb=aab,bbb=bb [11m17s] # write HTML #13206 ab:abb=aba,baa=aa [11m17s] # write HTML #13207 ab:abb=aba,baa=ab [11m17s] # write HTML #13208 ab:abb=aba,baa=ba [11m17s] # write HTML #13209 ab:abb=aba,baa=bb [11m17s] # write HTML #13210 ab:abb=aba,bab=aa [11m17s] # write HTML #13211 ab:abb=aba,bab=ab [11m17s] # write HTML #13212 ab:abb=aba,bab=ba [11m17s] # write HTML #13213 ab:abb=aba,bab=bb [11m17s] # write HTML #13214 ab:abb=aba,bba=aa [11m17s] # write HTML #13215 ab:abb=aba,bba=ab [11m17s] # write HTML #13216 ab:abb=aba,bba=ba [11m17s] # write HTML #13217 ab:abb=aba,bba=bb [11m17s] # write HTML #13218 ab:abb=aba,bbb=aa [11m17s] # write HTML #13219 ab:abb=aba,bbb=ab [11m17s] # write HTML #13220 ab:abb=aba,bbb=ba [11m17s] # write HTML #13221 ab:abb=aba,bbb=bb [11m17s] # write HTML #13223 ab:baa=aab,bab=ab [11m17s] # write HTML #13224 ab:baa=aab,bab=bb [11m17s] # write HTML #13225 ab:baa=aab,bba=aa [11m17s] # write HTML #13226 ab:baa=aab,bba=ab [11m17s] # write HTML #13227 ab:baa=aab,bba=ba [11m17s] # write HTML #13228 ab:baa=aab,bba=bb [11m17s] # write HTML #13229 ab:baa=aab,bbb=aa [11m17s] # write HTML #13230 ab:baa=aab,bbb=ab [11m17s] # write HTML #13231 ab:baa=aab,bbb=bb [11m17s] # write HTML #13232 ab:baa=abb,bab=aa [11m17s] # write HTML #13233 ab:baa=abb,bab=ab [11m17s] # write HTML #13234 ab:baa=abb,bab=ba [11m17s] # write HTML #13235 ab:baa=abb,bab=bb [11m17s] # write HTML #13236 ab:baa=abb,bba=aa [11m17s] # write HTML #13237 ab:baa=abb,bba=ab [11m17s] # write HTML #13238 ab:baa=abb,bba=ba [11m17s] # write HTML #13239 ab:baa=abb,bba=bb [11m17s] # write HTML #13241 ab:baa=abb,bbb=ab [11m17s] # write HTML #13242 ab:baa=abb,bbb=ba [11m17s] # write HTML #13243 ab:baa=abb,bbb=bb [11m17s] # write HTML #13244 ab:bab=aaa,bba=aa [11m17s] # write HTML #13245 ab:bab=aaa,bba=ab [11m17s] # write HTML #13246 ab:bab=aaa,bba=ba [11m17s] # write HTML #13247 ab:bab=aaa,bba=bb [11m17s] # write HTML #13248 ab:bab=aaa,bbb=aa [11m17s] # write HTML #13251 ab:bab=aab,bbb=aa [11m17s] # write HTML #13254 ab:bab=aab,bbb=bb [11m17s] # write HTML #13255 ab:bab=aba,bba=aa [11m17s] # write HTML #13256 ab:bab=aba,bba=ab [11m17s] # write HTML #13257 ab:bab=aba,bba=ba [11m17s] # write HTML #13258 ab:bab=aba,bba=bb [11m17s] # write HTML #13259 ab:bab=aba,bbb=aa [11m17s] # write HTML #13261 ab:bab=aba,bbb=bb [11m17s] # write HTML #13262 ab:bab=abb,bbb=aa [11m17s] # write HTML #13263 ab:bab=abb,bbb=ab [11m17s] # write HTML #13264 ab:bab=abb,bbb=ba [11m17s] # write HTML #13265 ab:bab=abb,bbb=bb [11m17s] # write HTML #13266 ab:bab=baa,bba=aa [11m17s] # write HTML #13267 ab:bab=baa,bba=ab [11m17s] # write HTML #13268 ab:bab=baa,bba=ba [11m17s] # write HTML #13269 ab:bab=baa,bba=bb [11m17s] # write HTML #13270 ab:bba=abb,bbb=aa [11m17s] # write HTML #13271 ab:bba=abb,bbb=ab [11m17s] # write HTML #13272 ab:bba=abb,bbb=bb [11m17s] # write HTML #13281 ab:aaaaa=1,aabaab=1 [11m17s] # write HTML #13291 ab:aaaaa=1,ababab=1 [11m17s] # write HTML #13293 ab:aaaaa=1,ababbb=1 [11m17s] # write HTML #13295 ab:aaaaa=1,abbabb=1 [11m17s] # write HTML #13308 ab:aaaaa=1,bbbbbb=1 [11m17s] # write HTML #13340 ab:aaaab=1,abbbbb=1 [11m17s] # write HTML #13372 ab:aaaab=1,bbbbbb=1 [11m17s] # write HTML #13442 ab:aaabb=1,aaabab=1 [11m17s] # write HTML #13446 ab:aaabb=1,aabaab=1 [11m17s] # write HTML #13448 ab:aaabb=1,aababb=1 [11m17s] # write HTML #13456 ab:aaabb=1,abaabb=1 [11m17s] # write HTML #13458 ab:aaabb=1,ababab=1 [11m17s] # write HTML #13460 ab:aaabb=1,ababbb=1 [11m17s] # write HTML #13500 ab:aaabb=1,bbbbbb=1 [11m17s] # write HTML #13540 ab:aabab=1,aaaabb=1 [11m17s] # write HTML #13544 ab:aabab=1,aaabbb=1 [11m17s] # write HTML #13550 ab:aabab=1,aabbab=1 [11m17s] # write HTML #13552 ab:aabab=1,aabbbb=1 [11m17s] # write HTML #13765 ab:abbba=1,aaaaaa=1 [11m17s] # write HTML #13836 ab:aaaa=a,bbbbbb=1 [11m17s] # write HTML #13882 ab:aaab=a,aabaab=1 [11m17s] # write HTML #13936 ab:aaab=a,bbbbbb=1 [11m17s] # write HTML #13937 ab:aaab=b,aaaaaa=1 [11m17s] # write HTML #14064 ab:aaba=a,bbbbbb=1 [11m17s] # write HTML #14065 ab:aaba=b,aaaaaa=1 [11m17s] # write HTML #14128 ab:aaba=b,bbbbbb=1 [11m17s] # write HTML #14134 ab:aabb=a,aaabab=1 [11m17s] # write HTML #14140 ab:aabb=a,aababb=1 [11m17s] # write HTML #14144 ab:aabb=a,aabbbb=1 [11m17s] # write HTML #14150 ab:aabb=a,ababab=1 [11m17s] # write HTML #14152 ab:aabb=a,ababbb=1 [11m17s] # write HTML #14156 ab:aabb=a,abbabb=1 [11m17s] # write HTML #14192 ab:aabb=a,bbbbbb=1 [11m17s] # write HTML #14220 ab:abab=a,abbabb=1 [11m17s] # write HTML #14292 ab:abba=a,bbbbbb=1 [11m17s] # write HTML #14293 ab:abba=b,aaaaaa=1 [11m17s] # write HTML #14298 ab:abba=b,aaabab=1 [11m17s] # write HTML #14301 ab:abba=b,aabaab=1 [11m17s] # write HTML #14328 ab:abba=b,bbbbbb=1 [11m17s] # write HTML #14334 ab:aaaa=a,aaaba=b [11m17s] # write HTML #14335 ab:aaaa=a,aaabb=a [11m17s] # write HTML #14336 ab:aaaa=a,aaabb=b [11m17s] # write HTML #14339 ab:aaaa=a,aabab=a [11m17s] # write HTML #14341 ab:aaaa=a,aabba=a [11m17s] # write HTML #14342 ab:aaaa=a,aabba=b [11m17s] # write HTML #14343 ab:aaaa=a,aabbb=a [11m17s] # write HTML #14345 ab:aaaa=a,abaab=a [11m17s] # write HTML #14347 ab:aaaa=a,ababa=a [11m17s] # write HTML #14349 ab:aaaa=a,ababb=a [11m17s] # write HTML #14350 ab:aaaa=a,ababb=b [11m17s] # write HTML #14351 ab:aaaa=a,abbab=a [11m17s] # write HTML #14353 ab:aaaa=a,abbba=a [11m17s] # write HTML #14354 ab:aaaa=a,abbba=b [11m18s] # write HTML #14355 ab:aaaa=a,abbbb=a [11m18s] # write HTML #14356 ab:aaaa=a,abbbb=b [11m18s] # write HTML #14357 ab:aaaa=a,baaab=a [11m18s] # write HTML #14358 ab:aaaa=a,baaab=b [11m18s] # write HTML #14359 ab:aaaa=a,baabb=a [11m18s] # write HTML #14360 ab:aaaa=a,baabb=b [11m18s] # write HTML #14361 ab:aaaa=a,babab=a [11m18s] # write HTML #14362 ab:aaaa=a,babab=b [11m18s] # write HTML #14363 ab:aaaa=a,babbb=a [11m18s] # write HTML #14364 ab:aaaa=a,babbb=b [11m18s] # write HTML #14365 ab:aaaa=a,bbabb=a [11m18s] # write HTML #14366 ab:aaaa=a,bbabb=b [11m18s] # write HTML #14367 ab:aaaa=a,bbbbb=a [11m18s] # write HTML #14368 ab:aaaa=a,bbbbb=b [11m18s] # write HTML #14383 ab:aaaa=b,aabbb=a [11m18s] # write HTML #14384 ab:aaaa=b,aabbb=b [11m18s] # write HTML #14395 ab:aaaa=b,abbbb=a [11m18s] # write HTML #14396 ab:aaaa=b,abbbb=b [11m18s] # write HTML #14407 ab:aaaa=b,bbbbb=a [11m18s] # write HTML #14408 ab:aaaa=b,bbbbb=b [11m18s] # write HTML #14439 ab:aaab=a,abbbb=a [11m18s] # write HTML #14455 ab:aaab=a,babbb=a [11m18s] # write HTML #14463 ab:aaab=a,bbabb=a [11m18s] # write HTML #14465 ab:aaab=a,bbbaa=a [11m18s] # write HTML #14467 ab:aaab=a,bbbab=a [11m18s] # write HTML #14469 ab:aaab=a,bbbba=a [11m18s] # write HTML #14472 ab:aaab=a,bbbbb=b [11m18s] # write HTML #14473 ab:aaab=b,aaaaa=a [11m18s] # write HTML #14483 ab:aaab=b,aabab=a [11m18s] # write HTML #14484 ab:aaab=b,aabab=b [11m18s] # write HTML #14490 ab:aaab=b,abaaa=b [11m18s] # write HTML #14493 ab:aaab=b,ababa=a [11m18s] # write HTML #14494 ab:aaab=b,ababa=b [11m18s] # write HTML #14496 ab:aaab=b,ababb=b [11m18s] # write HTML #14498 ab:aaab=b,abbaa=b [11m18s] # write HTML #14501 ab:aaab=b,abbba=a [11m18s] # write HTML #14502 ab:aaab=b,abbba=b [11m18s] # write HTML #14503 ab:aaab=b,abbbb=a [11m18s] # write HTML #14504 ab:aaab=b,abbbb=b [11m18s] # write HTML #14506 ab:aaab=b,baaaa=b [11m18s] # write HTML #14510 ab:aaab=b,baaba=b [11m18s] # write HTML #14512 ab:aaab=b,baabb=b [11m18s] # write HTML #14514 ab:aaab=b,babaa=b [11m18s] # write HTML #14516 ab:aaab=b,babab=b [11m18s] # write HTML #14518 ab:aaab=b,babba=b [11m18s] # write HTML #14519 ab:aaab=b,babbb=a [11m18s] # write HTML #14520 ab:aaab=b,babbb=b [11m18s] # write HTML #14522 ab:aaab=b,bbaaa=b [11m18s] # write HTML #14524 ab:aaab=b,bbaab=b [11m18s] # write HTML #14526 ab:aaab=b,bbaba=b [11m18s] # write HTML #14527 ab:aaab=b,bbabb=a [11m18s] # write HTML #14528 ab:aaab=b,bbabb=b [11m18s] # write HTML #14530 ab:aaab=b,bbbaa=b [11m18s] # write HTML #14532 ab:aaab=b,bbbab=b [11m18s] # write HTML #14533 ab:aaab=b,bbbba=a [11m18s] # write HTML #14534 ab:aaab=b,bbbba=b [11m18s] # write HTML #14536 ab:aaab=b,bbbbb=b [11m18s] # write HTML #14537 ab:aaba=a,aaaaa=a [11m18s] # write HTML #14543 ab:aaba=a,aaabb=a [11m18s] # write HTML #14549 ab:aaba=a,aabba=a [11m18s] # write HTML #14551 ab:aaba=a,aabbb=a [11m18s] # write HTML #14559 ab:aaba=a,ababb=a [11m18s] # write HTML #14561 ab:aaba=a,abbaa=a [11m18s] # write HTML #14565 ab:aaba=a,abbba=a [11m18s] # write HTML #14567 ab:aaba=a,abbbb=a [11m18s] # write HTML #14576 ab:aaba=a,baabb=b [11m18s] # write HTML #14580 ab:aaba=a,babab=b [11m18s] # write HTML #14584 ab:aaba=a,babbb=b [11m18s] # write HTML #14585 ab:aaba=a,bbaaa=a [11m18s] # write HTML #14589 ab:aaba=a,bbaba=a [11m18s] # write HTML #14591 ab:aaba=a,bbabb=a [11m18s] # write HTML #14593 ab:aaba=a,bbbaa=a [11m18s] # write HTML #14596 ab:aaba=a,bbbab=b [11m18s] # write HTML #14597 ab:aaba=a,bbbba=a [11m18s] # write HTML #14600 ab:aaba=a,bbbbb=b [11m18s] # write HTML #14601 ab:aaba=b,aaaaa=a [11m18s] # write HTML #14631 ab:aaba=b,abbbb=a [11m18s] # write HTML #14632 ab:aaba=b,abbbb=b [11m18s] # write HTML #14634 ab:aaba=b,baaaa=b [11m18s] # write HTML #14647 ab:aaba=b,babbb=a [11m18s] # write HTML #14648 ab:aaba=b,babbb=b [11m18s] # write HTML #14664 ab:aaba=b,bbbbb=b [11m18s] # write HTML #14665 ab:aabb=a,aaaaa=a [11m18s] # write HTML #14669 ab:aabb=a,aaaba=a [11m18s] # write HTML #14673 ab:aabb=a,aabaa=a [11m18s] # write HTML #14675 ab:aabb=a,aabab=a [11m18s] # write HTML #14676 ab:aabb=a,aabab=b [11m18s] # write HTML #14685 ab:aabb=a,ababa=a [11m18s] # write HTML #14687 ab:aabb=a,ababb=a [11m18s] # write HTML #14688 ab:aabb=a,ababb=b [11m18s] # write HTML #14693 ab:aabb=a,abbba=a [11m18s] # write HTML #14698 ab:aabb=a,baaaa=b [11m18s] # write HTML #14708 ab:aabb=a,babab=b [11m18s] # write HTML #14717 ab:aabb=a,bbaba=a [11m18s] # write HTML #14721 ab:aabb=a,bbbaa=a [11m18s] # write HTML #14723 ab:aabb=a,bbbab=a [11m18s] # write HTML #14725 ab:aabb=a,bbbba=a [11m18s] # write HTML #14728 ab:aabb=a,bbbbb=b [11m18s] # write HTML #14729 ab:abab=a,aaaaa=a [11m18s] # write HTML #14789 ab:abab=a,bbbba=a [11m18s] # write HTML #14793 ab:abba=a,aaaaa=a [11m18s] # write HTML #14797 ab:abba=a,aaaba=a [11m18s] # write HTML #14801 ab:abba=a,aabaa=a [11m18s] # write HTML #14807 ab:abba=a,aabbb=a [11m18s] # write HTML #14811 ab:abba=a,ababa=a [11m18s] # write HTML #14813 ab:abba=a,ababb=a [11m18s] # write HTML #14817 ab:abba=a,abbba=a [11m18s] # write HTML #14819 ab:abba=a,abbbb=a [11m18s] # write HTML #14824 ab:abba=a,baabb=b [11m18s] # write HTML #14826 ab:abba=a,babab=b [11m18s] # write HTML #14832 ab:abba=a,bbbbb=b [11m18s] # write HTML #14833 ab:abba=b,aaaaa=a [11m18s] # write HTML #14836 ab:abba=b,aaaab=b [11m18s] # write HTML #14843 ab:abba=b,aabab=a [11m18s] # write HTML #14861 ab:abba=b,baaab=a [11m18s] # write HTML #14869 ab:abba=b,bbabb=a [11m18s] # write HTML #14872 ab:abba=b,bbbbb=b [11m18s] # write HTML #14908 ab:aaa=aa,bbbbbb=1 [11m18s] # write HTML #14981 ab:aaa=bb,aabaab=1 [11m18s] # write HTML #14993 ab:aaa=bb,ababbb=1 [11m18s] # write HTML #15008 ab:aaa=bb,bbbbbb=1 [11m18s] # write HTML #15072 ab:aab=aa,bbbbbb=1 [11m18s] # write HTML #15073 ab:aab=ab,aaaaaa=1 [11m18s] # write HTML #15137 ab:aab=ba,aaaaaa=1 [11m18s] # write HTML #15158 ab:aab=ba,ababab=1 [11m18s] # write HTML #15200 ab:aab=ba,bbbbbb=1 [11m18s] # write HTML #15201 ab:aab=bb,aaaaaa=1 [11m18s] # write HTML #15300 ab:aba=aa,bbbbbb=1 [11m18s] # write HTML #15365 ab:aba=bb,aaaaaa=1 [11m18s] # write HTML #15372 ab:aba=bb,aaabbb=1 [11m18s] # write HTML #15400 ab:aba=bb,bbbbbb=1 [11m18s] # write HTML #15419 ab:aaa=aa,ababa=a [11m18s] # write HTML #15421 ab:aaa=aa,ababb=a [11m18s] # write HTML #15425 ab:aaa=aa,abbba=a [11m18s] # write HTML #15426 ab:aaa=aa,abbba=b [11m18s] # write HTML #15427 ab:aaa=aa,abbbb=a [11m18s] # write HTML #15428 ab:aaa=aa,abbbb=b [11m18s] # write HTML #15432 ab:aaa=aa,baabb=b [11m18s] # write HTML #15433 ab:aaa=aa,babab=a [11m18s] # write HTML #15434 ab:aaa=aa,babab=b [11m18s] # write HTML #15435 ab:aaa=aa,babbb=a [11m18s] # write HTML #15436 ab:aaa=aa,babbb=b [11m18s] # write HTML #15438 ab:aaa=aa,bbabb=b [11m18s] # write HTML #15439 ab:aaa=aa,bbbbb=a [11m18s] # write HTML #15440 ab:aaa=aa,bbbbb=b [11m18s] # write HTML #15455 ab:aaa=ab,aabbb=a [11m18s] # write HTML #15471 ab:aaa=ab,abbbb=a [11m18s] # write HTML #15479 ab:aaa=ab,baabb=a [11m18s] # write HTML #15487 ab:aaa=ab,babbb=a [11m18s] # write HTML #15488 ab:aaa=ab,babbb=b [11m18s] # write HTML #15491 ab:aaa=ab,bbaab=a [11m18s] # write HTML #15495 ab:aaa=ab,bbabb=a [11m18s] # write HTML #15497 ab:aaa=ab,bbbaa=a [11m18s] # write HTML #15499 ab:aaa=ab,bbbab=a [11m18s] # write HTML #15501 ab:aaa=ab,bbbba=a [11m18s] # write HTML #15503 ab:aaa=ab,bbbbb=a [11m18s] # write HTML #15504 ab:aaa=ab,bbbbb=b [11m18s] # write HTML #15514 ab:aaa=bb,aabaa=b [11m18s] # write HTML #15515 ab:aaa=bb,aabab=a [11m18s] # write HTML #15520 ab:aaa=bb,aabbb=b [11m18s] # write HTML #15523 ab:aaa=bb,ababa=a [11m18s] # write HTML #15526 ab:aaa=bb,ababb=b [11m18s] # write HTML #15531 ab:aaa=bb,abbbb=a [11m18s] # write HTML #15532 ab:aaa=bb,abbbb=b [11m18s] # write HTML #15538 ab:aaa=bb,babab=b [11m18s] # write HTML #15539 ab:aaa=bb,babbb=a [11m18s] # write HTML #15543 ab:aaa=bb,bbbbb=a [11m18s] # write HTML #15544 ab:aaa=bb,bbbbb=b [11m18s] # write HTML #15565 ab:aab=aa,ababa=a [11m18s] # write HTML #15567 ab:aab=aa,ababb=a [11m18s] # write HTML #15573 ab:aab=aa,abbba=a [11m18s] # write HTML #15575 ab:aab=aa,abbbb=a [11m18s] # write HTML #15587 ab:aab=aa,babab=a [11m18s] # write HTML #15588 ab:aab=aa,babab=b [11m18s] # write HTML #15591 ab:aab=aa,babbb=a [11m18s] # write HTML #15592 ab:aab=aa,babbb=b [11m18s] # write HTML #15597 ab:aab=aa,bbaba=a [11m18s] # write HTML #15600 ab:aab=aa,bbabb=b [11m18s] # write HTML #15603 ab:aab=aa,bbbab=a [11m18s] # write HTML #15604 ab:aab=aa,bbbab=b [11m18s] # write HTML #15605 ab:aab=aa,bbbba=a [11m18s] # write HTML #15607 ab:aab=aa,bbbbb=a [11m18s] # write HTML #15608 ab:aab=aa,bbbbb=b [11m18s] # write HTML #15609 ab:aab=ab,aaaaa=a [11m18s] # write HTML #15626 ab:aab=ab,abaaa=b [11m18s] # write HTML #15640 ab:aab=ab,abbbb=b [11m18s] # write HTML #15642 ab:aab=ab,baaaa=b [11m18s] # write HTML #15652 ab:aab=ab,babab=b [11m18s] # write HTML #15656 ab:aab=ab,babbb=b [11m18s] # write HTML #15658 ab:aab=ab,bbaaa=b [11m18s] # write HTML #15661 ab:aab=ab,bbaba=a [11m18s] # write HTML #15664 ab:aab=ab,bbabb=b [11m18s] # write HTML #15666 ab:aab=ab,bbbaa=b [11m18s] # write HTML #15668 ab:aab=ab,bbbab=b [11m18s] # write HTML #15669 ab:aab=ab,bbbba=a [11m18s] # write HTML #15670 ab:aab=ab,bbbba=b [11m18s] # write HTML #15671 ab:aab=ab,bbbbb=a [11m18s] # write HTML #15672 ab:aab=ab,bbbbb=b [11m18s] # write HTML #15673 ab:aab=ba,aaaaa=a [11m18s] # write HTML #15690 ab:aab=ba,abaaa=b [11m18s] # write HTML #15696 ab:aab=ba,ababb=b [11m18s] # write HTML #15703 ab:aab=ba,abbbb=a [11m18s] # write HTML #15706 ab:aab=ba,baaaa=b [11m18s] # write HTML #15716 ab:aab=ba,babab=b [11m18s] # write HTML #15727 ab:aab=ba,bbabb=a [11m18s] # write HTML #15733 ab:aab=ba,bbbba=a [11m18s] # write HTML #15736 ab:aab=ba,bbbbb=b [11m18s] # write HTML #15737 ab:aab=bb,aaaaa=a [11m18s] # write HTML #15738 ab:aab=bb,aaaaa=b [11m18s] # write HTML #15757 ab:aab=bb,ababa=a [11m18s] # write HTML #15760 ab:aab=bb,ababb=b [11m18s] # write HTML #15768 ab:aab=bb,abbbb=b [11m18s] # write HTML #15770 ab:aab=bb,baaaa=b [11m18s] # write HTML #15778 ab:aab=bb,babaa=b [11m18s] # write HTML #15780 ab:aab=bb,babab=b [11m18s] # write HTML #15782 ab:aab=bb,babba=b [11m18s] # write HTML #15784 ab:aab=bb,babbb=b [11m18s] # write HTML #15786 ab:aab=bb,bbaaa=b [11m18s] # write HTML #15792 ab:aab=bb,bbabb=b [11m18s] # write HTML #15794 ab:aab=bb,bbbaa=b [11m18s] # write HTML #15796 ab:aab=bb,bbbab=b [11m18s] # write HTML #15797 ab:aab=bb,bbbba=a [11m18s] # write HTML #15798 ab:aab=bb,bbbba=b [11m18s] # write HTML #15800 ab:aab=bb,bbbbb=b [11m18s] # write HTML #15801 ab:aba=aa,aaaaa=a [11m18s] # write HTML #15807 ab:aba=aa,aaabb=a [11m18s] # write HTML #15813 ab:aba=aa,aabba=a [11m18s] # write HTML #15815 ab:aba=aa,aabbb=a [11m18s] # write HTML #15825 ab:aba=aa,abbba=a [11m18s] # write HTML #15827 ab:aba=aa,abbbb=a [11m18s] # write HTML #15830 ab:aba=aa,baaab=b [11m18s] # write HTML #15832 ab:aba=aa,baabb=b [11m18s] # write HTML #15835 ab:aba=aa,babbb=a [11m18s] # write HTML #15836 ab:aba=aa,babbb=b [11m18s] # write HTML #15838 ab:aba=aa,bbabb=b [11m18s] # write HTML #15840 ab:aba=aa,bbbbb=b [11m18s] # write HTML #15841 ab:aba=ab,aaaaa=a [11m18s] # write HTML #15848 ab:aba=ab,aaabb=b [11m18s] # write HTML #15874 ab:aba=ab,baaaa=b [11m18s] # write HTML #15895 ab:aba=ab,bbabb=a [11m18s] # write HTML #15897 ab:aba=ab,bbbaa=a [11m18s] # write HTML #15901 ab:aba=ab,bbbba=a [11m18s] # write HTML #15904 ab:aba=ab,bbbbb=b [11m18s] # write HTML #15905 ab:aba=bb,aaaaa=a [11m18s] # write HTML #15908 ab:aba=bb,aaaab=b [11m18s] # write HTML #15932 ab:aba=bb,abbbb=b [11m18s] # write HTML #15933 ab:aba=bb,baaab=a [11m18s] # write HTML #15941 ab:aba=bb,bbabb=a [11m18s] # write HTML #15944 ab:aba=bb,bbbbb=b [11m18s] # write HTML #15945 ab:aaa=aa,aaaa=aa [11m18s] # write HTML #15952 ab:aaa=aa,aaba=aa [11m18s] # write HTML #15953 ab:aaa=aa,aaba=ab [11m18s] # write HTML #15954 ab:aaa=aa,aaba=ba [11m18s] # write HTML #15955 ab:aaa=aa,aaba=bb [11m18s] # write HTML #15956 ab:aaa=aa,aabb=aa [11m18s] # write HTML #15957 ab:aaa=aa,aabb=ab [11m18s] # write HTML #15958 ab:aaa=aa,aabb=ba [11m18s] # write HTML #15960 ab:aaa=aa,abab=aa [11m18s] # write HTML #15961 ab:aaa=aa,abab=ab [11m18s] # write HTML #15962 ab:aaa=aa,abab=ba [11m18s] # write HTML #15963 ab:aaa=aa,abab=bb [11m18s] # write HTML #15964 ab:aaa=aa,abba=aa [11m18s] # write HTML #15965 ab:aaa=aa,abba=ab [11m18s] # write HTML #15966 ab:aaa=aa,abba=bb [11m18s] # write HTML #15967 ab:aaa=aa,abbb=aa [11m18s] # write HTML #15968 ab:aaa=aa,abbb=ab [11m18s] # write HTML #15969 ab:aaa=aa,abbb=ba [11m18s] # write HTML #15970 ab:aaa=aa,abbb=bb [11m18s] # write HTML #15971 ab:aaa=aa,baab=aa [11m18s] # write HTML #15972 ab:aaa=aa,baab=ab [11m18s] # write HTML #15973 ab:aaa=aa,baab=bb [11m18s] # write HTML #15974 ab:aaa=aa,babb=aa [11m18s] # write HTML #15975 ab:aaa=aa,babb=ab [11m18s] # write HTML #15976 ab:aaa=aa,babb=ba [11m18s] # write HTML #15977 ab:aaa=aa,babb=bb [11m18s] # write HTML #15978 ab:aaa=aa,bbbb=aa [11m18s] # write HTML #15979 ab:aaa=aa,bbbb=ab [11m18s] # write HTML #15980 ab:aaa=aa,bbbb=bb [11m18s] # write HTML #15993 ab:aaa=ab,aabb=aa [11m18s] # write HTML #15994 ab:aaa=ab,aabb=ab [11m18s] # write HTML #15995 ab:aaa=ab,aabb=ba [11m18s] # write HTML #15996 ab:aaa=ab,aabb=bb [11m18s] # write HTML #16009 ab:aaa=ab,abbb=aa [11m18s] # write HTML #16010 ab:aaa=ab,abbb=ab [11m18s] # write HTML #16011 ab:aaa=ab,abbb=ba [11m18s] # write HTML #16012 ab:aaa=ab,abbb=bb [11m18s] # write HTML #16017 ab:aaa=ab,baab=aa [11m18s] # write HTML #16018 ab:aaa=ab,baab=ab [11m18s] # write HTML #16019 ab:aaa=ab,baab=ba [11m18s] # write HTML #16020 ab:aaa=ab,baab=bb [11m18s] # write HTML #16025 ab:aaa=ab,babb=aa [11m18s] # write HTML #16026 ab:aaa=ab,babb=ab [11m18s] # write HTML #16027 ab:aaa=ab,babb=ba [11m18s] # write HTML #16028 ab:aaa=ab,babb=bb [11m18s] # write HTML #16029 ab:aaa=ab,bbaa=aa [11m18s] # write HTML #16030 ab:aaa=ab,bbaa=ab [11m18s] # write HTML #16031 ab:aaa=ab,bbaa=ba [11m18s] # write HTML #16032 ab:aaa=ab,bbaa=bb [11m18s] # write HTML #16033 ab:aaa=ab,bbab=aa [11m18s] # write HTML #16034 ab:aaa=ab,bbab=ab [11m18s] # write HTML #16035 ab:aaa=ab,bbab=ba [11m18s] # write HTML #16036 ab:aaa=ab,bbab=bb [11m18s] # write HTML #16037 ab:aaa=ab,bbba=aa [11m18s] # write HTML #16038 ab:aaa=ab,bbba=ab [11m18s] # write HTML #16039 ab:aaa=ab,bbba=ba [11m18s] # write HTML #16041 ab:aaa=ab,bbbb=aa [11m18s] # write HTML #16042 ab:aaa=ab,bbbb=ab [11m18s] # write HTML #16043 ab:aaa=ab,bbbb=ba [11m18s] # write HTML #16044 ab:aaa=ab,bbbb=bb [11m18s] # write HTML #16052 ab:aaa=bb,aaba=aa [11m18s] # write HTML #16053 ab:aaa=bb,aaba=ab [11m18s] # write HTML #16055 ab:aaa=bb,aaba=bb [11m18s] # write HTML #16056 ab:aaa=bb,aabb=aa [11m18s] # write HTML #16057 ab:aaa=bb,aabb=ab [11m18s] # write HTML #16059 ab:aaa=bb,aabb=bb [11m18s] # write HTML #16060 ab:aaa=bb,abab=aa [11m19s] # write HTML #16061 ab:aaa=bb,abab=ab [11m19s] # write HTML #16063 ab:aaa=bb,abab=bb [11m19s] # write HTML #16067 ab:aaa=bb,abbb=aa [11m19s] # write HTML #16068 ab:aaa=bb,abbb=ab [11m19s] # write HTML #16069 ab:aaa=bb,abbb=ba [11m19s] # write HTML #16070 ab:aaa=bb,abbb=bb [11m19s] # write HTML #16071 ab:aaa=bb,baab=aa [11m19s] # write HTML #16073 ab:aaa=bb,baab=bb [11m19s] # write HTML #16078 ab:aaa=bb,bbbb=aa [11m19s] # write HTML #16079 ab:aaa=bb,bbbb=ab [11m19s] # write HTML #16080 ab:aaa=bb,bbbb=bb [11m19s] # write HTML #16081 ab:aab=aa,aaaa=aa [11m19s] # write HTML #16082 ab:aab=aa,aaaa=ab [11m19s] # write HTML #16083 ab:aab=aa,aaaa=ba [11m19s] # write HTML #16084 ab:aab=aa,aaaa=bb [11m19s] # write HTML #16087 ab:aab=aa,aaab=ba [11m19s] # write HTML #16093 ab:aab=aa,aabb=aa [11m19s] # write HTML #16095 ab:aab=aa,aabb=ba [11m19s] # write HTML #16097 ab:aab=aa,abaa=aa [11m19s] # write HTML #16098 ab:aab=aa,abaa=ab [11m19s] # write HTML #16100 ab:aab=aa,abaa=bb [11m19s] # write HTML #16101 ab:aab=aa,abab=aa [11m19s] # write HTML #16102 ab:aab=aa,abab=ab [11m19s] # write HTML #16104 ab:aab=aa,abab=bb [11m19s] # write HTML #16105 ab:aab=aa,abba=aa [11m19s] # write HTML #16109 ab:aab=aa,abbb=aa [11m19s] # write HTML #16110 ab:aab=aa,abbb=ab [11m19s] # write HTML #16111 ab:aab=aa,abbb=ba [11m19s] # write HTML #16113 ab:aab=aa,baaa=aa [11m19s] # write HTML #16114 ab:aab=aa,baaa=ab [11m19s] # write HTML #16115 ab:aab=aa,baaa=ba [11m19s] # write HTML #16116 ab:aab=aa,baaa=bb [11m19s] # write HTML #16121 ab:aab=aa,baba=aa [11m19s] # write HTML #16123 ab:aab=aa,baba=ba [11m19s] # write HTML #16124 ab:aab=aa,baba=bb [11m19s] # write HTML #16125 ab:aab=aa,babb=aa [11m19s] # write HTML #16126 ab:aab=aa,babb=ab [11m19s] # write HTML #16127 ab:aab=aa,babb=ba [11m19s] # write HTML #16128 ab:aab=aa,babb=bb [11m19s] # write HTML #16129 ab:aab=aa,bbaa=aa [11m19s] # write HTML #16130 ab:aab=aa,bbaa=ab [11m19s] # write HTML #16131 ab:aab=aa,bbaa=ba [11m19s] # write HTML #16132 ab:aab=aa,bbaa=bb [11m19s] # write HTML #16133 ab:aab=aa,bbab=aa [11m19s] # write HTML #16134 ab:aab=aa,bbab=ab [11m19s] # write HTML #16135 ab:aab=aa,bbab=ba [11m19s] # write HTML #16136 ab:aab=aa,bbab=bb [11m19s] # write HTML #16137 ab:aab=aa,bbba=aa [11m19s] # write HTML #16138 ab:aab=aa,bbba=ab [11m19s] # write HTML #16139 ab:aab=aa,bbba=ba [11m19s] # write HTML #16141 ab:aab=aa,bbbb=aa [11m19s] # write HTML #16142 ab:aab=aa,bbbb=ab [11m19s] # write HTML #16143 ab:aab=aa,bbbb=ba [11m19s] # write HTML #16144 ab:aab=aa,bbbb=bb [11m19s] # write HTML #16145 ab:aab=ab,aaaa=aa [11m19s] # write HTML #16146 ab:aab=ab,aaaa=ab [11m19s] # write HTML #16147 ab:aab=ab,aaaa=ba [11m19s] # write HTML #16148 ab:aab=ab,aaaa=bb [11m19s] # write HTML #16150 ab:aab=ab,aaab=ab [11m19s] # write HTML #16152 ab:aab=ab,aaab=bb [11m19s] # write HTML #16160 ab:aab=ab,aabb=bb [11m19s] # write HTML #16161 ab:aab=ab,abaa=aa [11m19s] # write HTML #16162 ab:aab=ab,abaa=ab [11m19s] # write HTML #16163 ab:aab=ab,abaa=ba [11m19s] # write HTML #16164 ab:aab=ab,abaa=bb [11m19s] # write HTML #16165 ab:aab=ab,abab=aa [11m19s] # write HTML #16166 ab:aab=ab,abab=ab [11m19s] # write HTML #16167 ab:aab=ab,abab=ba [11m19s] # write HTML #16168 ab:aab=ab,abab=bb [11m19s] # write HTML #16169 ab:aab=ab,abba=aa [11m19s] # write HTML #16170 ab:aab=ab,abba=ab [11m19s] # write HTML #16171 ab:aab=ab,abba=ba [11m19s] # write HTML #16172 ab:aab=ab,abba=bb [11m19s] # write HTML #16173 ab:aab=ab,abbb=aa [11m19s] # write HTML #16174 ab:aab=ab,abbb=ab [11m19s] # write HTML #16175 ab:aab=ab,abbb=ba [11m19s] # write HTML #16176 ab:aab=ab,abbb=bb [11m19s] # write HTML #16177 ab:aab=ab,baaa=aa [11m19s] # write HTML #16178 ab:aab=ab,baaa=ab [11m19s] # write HTML #16179 ab:aab=ab,baaa=ba [11m19s] # write HTML #16180 ab:aab=ab,baaa=bb [11m19s] # write HTML #16185 ab:aab=ab,baba=aa [11m19s] # write HTML #16186 ab:aab=ab,baba=ab [11m19s] # write HTML #16187 ab:aab=ab,baba=ba [11m19s] # write HTML #16188 ab:aab=ab,baba=bb [11m19s] # write HTML #16189 ab:aab=ab,babb=aa [11m19s] # write HTML #16190 ab:aab=ab,babb=ab [11m19s] # write HTML #16191 ab:aab=ab,babb=ba [11m19s] # write HTML #16192 ab:aab=ab,babb=bb [11m19s] # write HTML #16193 ab:aab=ab,bbaa=aa [11m19s] # write HTML #16194 ab:aab=ab,bbaa=ab [11m19s] # write HTML #16195 ab:aab=ab,bbaa=ba [11m19s] # write HTML #16196 ab:aab=ab,bbaa=bb [11m19s] # write HTML #16197 ab:aab=ab,bbab=aa [11m19s] # write HTML #16198 ab:aab=ab,bbab=ab [11m19s] # write HTML #16199 ab:aab=ab,bbab=ba [11m19s] # write HTML #16200 ab:aab=ab,bbab=bb [11m19s] # write HTML #16201 ab:aab=ab,bbba=aa [11m19s] # write HTML #16202 ab:aab=ab,bbba=ab [11m19s] # write HTML #16203 ab:aab=ab,bbba=ba [11m19s] # write HTML #16204 ab:aab=ab,bbba=bb [11m19s] # write HTML #16205 ab:aab=ab,bbbb=aa [11m19s] # write HTML #16206 ab:aab=ab,bbbb=ab [11m19s] # write HTML #16207 ab:aab=ab,bbbb=ba [11m19s] # write HTML #16208 ab:aab=ab,bbbb=bb [11m19s] # write HTML #16209 ab:aab=ba,aaaa=aa [11m19s] # write HTML #16210 ab:aab=ba,aaaa=ab [11m19s] # write HTML #16211 ab:aab=ba,aaaa=ba [11m19s] # write HTML #16212 ab:aab=ba,aaaa=bb [11m19s] # write HTML #16226 ab:aab=ba,abaa=ab [11m19s] # write HTML #16227 ab:aab=ba,abaa=ba [11m19s] # write HTML #16228 ab:aab=ba,abaa=bb [11m19s] # write HTML #16230 ab:aab=ba,abab=ab [11m19s] # write HTML #16232 ab:aab=ba,abab=bb [11m19s] # write HTML #16233 ab:aab=ba,abba=aa [11m19s] # write HTML #16236 ab:aab=ba,abba=bb [11m19s] # write HTML #16237 ab:aab=ba,abbb=aa [11m19s] # write HTML #16238 ab:aab=ba,abbb=ab [11m19s] # write HTML #16239 ab:aab=ba,abbb=ba [11m19s] # write HTML #16240 ab:aab=ba,abbb=bb [11m19s] # write HTML #16242 ab:aab=ba,baaa=ab [11m19s] # write HTML #16243 ab:aab=ba,baaa=ba [11m19s] # write HTML #16244 ab:aab=ba,baaa=bb [11m19s] # write HTML #16252 ab:aab=ba,baba=bb [11m19s] # write HTML #16253 ab:aab=ba,babb=aa [11m19s] # write HTML #16254 ab:aab=ba,babb=ab [11m19s] # write HTML #16255 ab:aab=ba,babb=ba [11m19s] # write HTML #16256 ab:aab=ba,babb=bb [11m19s] # write HTML #16260 ab:aab=ba,bbaa=bb [11m19s] # write HTML #16261 ab:aab=ba,bbab=aa [11m19s] # write HTML #16262 ab:aab=ba,bbab=ab [11m19s] # write HTML #16263 ab:aab=ba,bbab=ba [11m19s] # write HTML #16264 ab:aab=ba,bbab=bb [11m19s] # write HTML #16267 ab:aab=ba,bbba=ba [11m19s] # write HTML #16270 ab:aab=ba,bbbb=ab [11m19s] # write HTML #16271 ab:aab=ba,bbbb=ba [11m19s] # write HTML #16272 ab:aab=ba,bbbb=bb [11m19s] # write HTML #16273 ab:aab=bb,aaaa=aa [11m19s] # write HTML #16274 ab:aab=bb,aaaa=ab [11m19s] # write HTML #16275 ab:aab=bb,aaaa=ba [11m19s] # write HTML #16276 ab:aab=bb,aaaa=bb [11m19s] # write HTML #16278 ab:aab=bb,aaab=ab [11m19s] # write HTML #16280 ab:aab=bb,aaab=bb [11m19s] # write HTML #16283 ab:aab=bb,aaba=ba [11m19s] # write HTML #16284 ab:aab=bb,aaba=bb [11m19s] # write HTML #16288 ab:aab=bb,aabb=bb [11m19s] # write HTML #16289 ab:aab=bb,abaa=aa [11m19s] # write HTML #16290 ab:aab=bb,abaa=ab [11m19s] # write HTML #16291 ab:aab=bb,abaa=ba [11m19s] # write HTML #16292 ab:aab=bb,abaa=bb [11m19s] # write HTML #16293 ab:aab=bb,abab=aa [11m19s] # write HTML #16294 ab:aab=bb,abab=ab [11m19s] # write HTML #16295 ab:aab=bb,abab=ba [11m19s] # write HTML #16296 ab:aab=bb,abab=bb [11m19s] # write HTML #16297 ab:aab=bb,abba=aa [11m19s] # write HTML #16298 ab:aab=bb,abba=ab [11m19s] # write HTML #16299 ab:aab=bb,abba=ba [11m19s] # write HTML #16300 ab:aab=bb,abba=bb [11m19s] # write HTML #16301 ab:aab=bb,abbb=aa [11m19s] # write HTML #16302 ab:aab=bb,abbb=ab [11m19s] # write HTML #16303 ab:aab=bb,abbb=ba [11m19s] # write HTML #16304 ab:aab=bb,abbb=bb [11m19s] # write HTML #16305 ab:aab=bb,baaa=aa [11m19s] # write HTML #16306 ab:aab=bb,baaa=ab [11m19s] # write HTML #16307 ab:aab=bb,baaa=ba [11m19s] # write HTML #16308 ab:aab=bb,baaa=bb [11m19s] # write HTML #16313 ab:aab=bb,baba=aa [11m19s] # write HTML #16314 ab:aab=bb,baba=ab [11m19s] # write HTML #16315 ab:aab=bb,baba=ba [11m19s] # write HTML #16316 ab:aab=bb,baba=bb [11m19s] # write HTML #16318 ab:aab=bb,babb=ab [11m19s] # write HTML #16319 ab:aab=bb,babb=ba [11m19s] # write HTML #16320 ab:aab=bb,babb=bb [11m19s] # write HTML #16321 ab:aab=bb,bbaa=aa [11m19s] # write HTML #16322 ab:aab=bb,bbaa=ab [11m19s] # write HTML #16323 ab:aab=bb,bbaa=ba [11m19s] # write HTML #16324 ab:aab=bb,bbaa=bb [11m19s] # write HTML #16325 ab:aab=bb,bbab=aa [11m19s] # write HTML #16328 ab:aab=bb,bbab=bb [11m19s] # write HTML #16329 ab:aab=bb,bbba=aa [11m19s] # write HTML #16330 ab:aab=bb,bbba=ab [11m19s] # write HTML #16331 ab:aab=bb,bbba=ba [11m19s] # write HTML #16332 ab:aab=bb,bbba=bb [11m19s] # write HTML #16333 ab:aab=bb,bbbb=aa [11m19s] # write HTML #16334 ab:aab=bb,bbbb=ab [11m19s] # write HTML #16335 ab:aab=bb,bbbb=ba [11m19s] # write HTML #16336 ab:aab=bb,bbbb=bb [11m19s] # write HTML #16337 ab:aba=aa,aaaa=aa [11m19s] # write HTML #16339 ab:aba=aa,aaaa=bb [11m19s] # write HTML #16340 ab:aba=aa,aaab=aa [11m19s] # write HTML #16341 ab:aba=aa,aaab=ab [11m19s] # write HTML #16342 ab:aba=aa,aaab=ba [11m19s] # write HTML #16343 ab:aba=aa,aaab=bb [11m19s] # write HTML #16348 ab:aba=aa,aabb=aa [11m19s] # write HTML #16349 ab:aba=aa,aabb=ab [11m19s] # write HTML #16350 ab:aba=aa,aabb=ba [11m19s] # write HTML #16351 ab:aba=aa,aabb=bb [11m19s] # write HTML #16356 ab:aba=aa,abba=aa [11m19s] # write HTML #16358 ab:aba=aa,abba=bb [11m19s] # write HTML #16359 ab:aba=aa,abbb=aa [11m19s] # write HTML #16360 ab:aba=aa,abbb=ab [11m19s] # write HTML #16361 ab:aba=aa,abbb=ba [11m19s] # write HTML #16362 ab:aba=aa,abbb=bb [11m19s] # write HTML #16363 ab:aba=aa,baab=aa [11m19s] # write HTML #16364 ab:aba=aa,baab=ab [11m19s] # write HTML #16365 ab:aba=aa,baab=bb [11m19s] # write HTML #16366 ab:aba=aa,babb=aa [11m19s] # write HTML #16367 ab:aba=aa,babb=ab [11m19s] # write HTML #16368 ab:aba=aa,babb=ba [11m19s] # write HTML #16369 ab:aba=aa,babb=bb [11m19s] # write HTML #16370 ab:aba=aa,bbbb=aa [11m19s] # write HTML #16371 ab:aba=aa,bbbb=ab [11m19s] # write HTML #16372 ab:aba=aa,bbbb=bb [11m19s] # write HTML #16373 ab:aba=ab,aaaa=aa [11m19s] # write HTML #16375 ab:aba=ab,aaaa=ba [11m19s] # write HTML #16378 ab:aba=ab,aaab=ab [11m19s] # write HTML #16379 ab:aba=ab,aaab=ba [11m19s] # write HTML #16380 ab:aba=ab,aaab=bb [11m19s] # write HTML #16385 ab:aba=ab,aabb=aa [11m19s] # write HTML #16388 ab:aba=ab,aabb=bb [11m19s] # write HTML #16390 ab:aba=ab,abaa=ab [11m19s] # write HTML #16394 ab:aba=ab,abab=ab [11m19s] # write HTML #16396 ab:aba=ab,abab=bb [11m19s] # write HTML #16401 ab:aba=ab,abbb=aa [11m19s] # write HTML #16402 ab:aba=ab,abbb=ab [11m19s] # write HTML #16404 ab:aba=ab,abbb=bb [11m19s] # write HTML #16406 ab:aba=ab,baaa=ab [11m19s] # write HTML #16407 ab:aba=ab,baaa=ba [11m19s] # write HTML #16408 ab:aba=ab,baaa=bb [11m19s] # write HTML #16412 ab:aba=ab,baab=bb [11m19s] # write HTML #16416 ab:aba=ab,baba=bb [11m19s] # write HTML #16418 ab:aba=ab,babb=ab [11m19s] # write HTML #16419 ab:aba=ab,babb=ba [11m19s] # write HTML #16420 ab:aba=ab,babb=bb [11m19s] # write HTML #16421 ab:aba=ab,bbaa=aa [11m19s] # write HTML #16422 ab:aba=ab,bbaa=ab [11m19s] # write HTML #16423 ab:aba=ab,bbaa=ba [11m19s] # write HTML #16424 ab:aba=ab,bbaa=bb [11m19s] # write HTML #16426 ab:aba=ab,bbab=ab [11m19s] # write HTML #16427 ab:aba=ab,bbab=ba [11m19s] # write HTML #16428 ab:aba=ab,bbab=bb [11m19s] # write HTML #16429 ab:aba=ab,bbba=aa [11m19s] # write HTML #16430 ab:aba=ab,bbba=ab [11m19s] # write HTML #16431 ab:aba=ab,bbba=ba [11m19s] # write HTML #16434 ab:aba=ab,bbbb=ab [11m19s] # write HTML #16435 ab:aba=ab,bbbb=ba [11m19s] # write HTML #16436 ab:aba=ab,bbbb=bb [11m19s] # write HTML #16437 ab:aba=bb,aaaa=aa [11m19s] # write HTML #16439 ab:aba=bb,aaaa=bb [11m19s] # write HTML #16441 ab:aba=bb,aaab=ab [11m19s] # write HTML #16442 ab:aba=bb,aaab=ba [11m19s] # write HTML #16443 ab:aba=bb,aaab=bb [11m19s] # write HTML #16448 ab:aba=bb,aabb=aa [11m19s] # write HTML #16450 ab:aba=bb,aabb=ba [11m19s] # write HTML #16451 ab:aba=bb,aabb=bb [11m19s] # write HTML #16455 ab:aba=bb,abab=bb [11m19s] # write HTML #16458 ab:aba=bb,abba=bb [11m19s] # write HTML #16459 ab:aba=bb,abbb=aa [11m19s] # write HTML #16462 ab:aba=bb,abbb=bb [11m19s] # write HTML #16465 ab:aba=bb,baab=bb [11m19s] # write HTML #16467 ab:aba=bb,babb=ab [11m19s] # write HTML #16470 ab:aba=bb,bbbb=aa [11m19s] # write HTML #16471 ab:aba=bb,bbbb=ab [11m19s] # write HTML #16472 ab:aba=bb,bbbb=bb [11m19s] # write HTML #16491 ab:aab=aa,abb=aaa [11m19s] # write HTML #16494 ab:aab=aa,bab=aaa [11m19s] # write HTML #16497 ab:aab=aa,bbb=aaa [11m19s] # write HTML #16498 ab:aab=aa,bbb=aab [11m19s] # write HTML #16500 ab:aab=ab,abb=aaa [11m19s] # write HTML #16503 ab:aab=ab,bab=aaa [11m19s] # write HTML #16506 ab:aab=ab,bbb=aaa [11m19s] # write HTML #16509 ab:aab=ba,abb=aaa [11m19s] # write HTML #16512 ab:aab=ba,bab=aaa [11m19s] # write HTML #16515 ab:aab=ba,bbb=aaa [11m19s] # write HTML #16518 ab:aab=bb,abb=aaa [11m19s] # write HTML #16521 ab:aab=bb,bab=aaa [11m19s] # write HTML #16524 ab:aab=bb,bbb=aaa [11m19s] # write HTML #16526 ab:aba=aa,abb=aaa [11m19s] # write HTML #16527 ab:aba=aa,abb=aba [11m19s] # write HTML #16529 ab:aba=aa,baa=aba [11m19s] # write HTML #16530 ab:aba=aa,bab=aaa [11m19s] # write HTML #16532 ab:aba=aa,bbb=aaa [11m19s] # write HTML #16533 ab:aba=aa,bbb=aba [11m19s] # write HTML #16534 ab:aba=ab,abb=aaa [11m19s] # write HTML #16536 ab:aba=ab,baa=aab [11m19s] # write HTML #16540 ab:aba=ab,bba=aaa [11m19s] # write HTML #16543 ab:aba=ab,bbb=aba [11m19s] # write HTML #16544 ab:aba=ba,baa=aba [11m19s] # write HTML #16545 ab:aba=bb,abb=aaa [11m19s] # write HTML #16547 ab:aba=bb,baa=aab [11m19s] # write HTML #16548 ab:aba=bb,baa=aba [11m19s] # write HTML #16549 ab:aba=bb,bab=aaa [11m19s] # write HTML #16551 ab:aba=bb,bbb=aaa [11m19s] # write HTML #16553 ab:abb=aa,bbb=abb [11m19s] # write HTML #16556 ab:abb=bb,bbb=abb [11m19s] # write HTML #16559 ab:bab=bb,bbb=bab [11m19s] # write HTML #16578 ab:aaaa=1,aabaabb=1 [11m19s] # write HTML #16582 ab:aaaa=1,aababbb=1 [11m19s] # write HTML #16589 ab:aaaa=1,aabbbbb=1 [11m19s] # write HTML #16601 ab:aaaa=1,ababbbb=1 [11m19s] # write HTML #16631 ab:aaaa=1,bbbbbbb=1 [11m19s] # write HTML #16893 ab:aabb=1,aaaabab=1 [11m19s] # write HTML #16899 ab:aabb=1,aaababb=1 [11m19s] # write HTML #16908 ab:aabb=1,aababab=1 [11m19s] # write HTML #16952 ab:abab=1,aaaaaaa=1 [11m19s] # write HTML #16955 ab:abab=1,aaaaabb=1 [11m19s] # write HTML #16959 ab:abab=1,aaaabbb=1 [11m19s] # write HTML #16965 ab:abab=1,aaabbab=1 [11m19s] # write HTML #16966 ab:abab=1,aaabbba=1 [11m19s] # write HTML #16970 ab:abab=1,aabaabb=1 [11m19s] # write HTML #16978 ab:abab=1,aabbbab=1 [11m19s] # write HTML #17105 ab:aaaa=1,aabaab=b [11m19s] # write HTML #17109 ab:aaaa=1,aababb=b [11m19s] # write HTML #17113 ab:aaaa=1,aabbab=b [11m19s] # write HTML #17127 ab:aaaa=1,ababba=b [11m19s] # write HTML #17135 ab:aaaa=1,abbbab=b [11m19s] # write HTML #17137 ab:aaaa=1,abbbba=b [11m19s] # write HTML #17139 ab:aaaa=1,abbbbb=b [11m19s] # write HTML #17143 ab:aaaa=1,baaabb=b [11m19s] # write HTML #17145 ab:aaaa=1,baabab=b [11m19s] # write HTML #17147 ab:aaaa=1,baabbb=b [11m19s] # write HTML #17149 ab:aaaa=1,bababb=b [11m19s] # write HTML #17151 ab:aaaa=1,babbab=b [11m19s] # write HTML #17152 ab:aaaa=1,babbbb=a [11m19s] # write HTML #17153 ab:aaaa=1,babbbb=b [11m19s] # write HTML #17155 ab:aaaa=1,bbaabb=b [11m19s] # write HTML #17156 ab:aaaa=1,bbabbb=a [11m19s] # write HTML #17157 ab:aaaa=1,bbabbb=b [11m19s] # write HTML #17159 ab:aaaa=1,bbbbbb=b [11m19s] # write HTML #17426 ab:aabb=1,aaabab=a [11m19s] # write HTML #17427 ab:aabb=1,aaabab=b [11m20s] # write HTML #17437 ab:aabb=1,aababb=a [11m20s] # write HTML #17486 ab:abab=1,aaaabb=a [11m20s] # write HTML #17487 ab:abab=1,aaaabb=b [11m20s] # write HTML #17494 ab:abab=1,aaabbb=a [11m20s] # write HTML #17503 ab:abab=1,aabbaa=b [11m20s] # write HTML #17505 ab:abab=1,aabbab=b [11m20s] # write HTML #17637 ab:aaaa=1,aabab=bb [11m20s] # write HTML #17645 ab:aaaa=1,aabbb=bb [11m20s] # write HTML #17647 ab:aaaa=1,abaab=ab [11m20s] # write HTML #17649 ab:aaaa=1,abaab=bb [11m20s] # write HTML #17652 ab:aaaa=1,ababa=bb [11m20s] # write HTML #17654 ab:aaaa=1,ababb=ab [11m20s] # write HTML #17656 ab:aaaa=1,ababb=bb [11m20s] # write HTML #17659 ab:aaaa=1,abbab=ba [11m20s] # write HTML #17660 ab:aaaa=1,abbab=bb [11m20s] # write HTML #17663 ab:aaaa=1,abbba=bb [11m20s] # write HTML #17665 ab:aaaa=1,abbbb=ab [11m20s] # write HTML #17666 ab:aaaa=1,abbbb=ba [11m20s] # write HTML #17667 ab:aaaa=1,abbbb=bb [11m20s] # write HTML #17670 ab:aaaa=1,baaab=bb [11m20s] # write HTML #17674 ab:aaaa=1,baabb=bb [11m20s] # write HTML #17677 ab:aaaa=1,babab=bb [11m20s] # write HTML #17679 ab:aaaa=1,babbb=ab [11m20s] # write HTML #17680 ab:aaaa=1,babbb=ba [11m20s] # write HTML #17681 ab:aaaa=1,babbb=bb [11m20s] # write HTML #17684 ab:aaaa=1,bbabb=bb [11m20s] # write HTML #17687 ab:aaaa=1,bbbbb=bb [11m20s] # write HTML #17964 ab:aabb=1,aabab=aa [11m20s] # write HTML #17965 ab:aabb=1,aabab=ab [11m20s] # write HTML #17966 ab:aabb=1,aabab=ba [11m20s] # write HTML #17967 ab:aabb=1,aabab=bb [11m20s] # write HTML #18011 ab:abab=1,aaaaa=bb [11m20s] # write HTML #18020 ab:abab=1,aaabb=aa [11m20s] # write HTML #18022 ab:abab=1,aaabb=ba [11m20s] # write HTML #18023 ab:abab=1,aaabb=bb [11m20s] # write HTML #18034 ab:abab=1,aabba=ba [11m20s] # write HTML #18215 ab:aaa=a,bbbbbbb=1 [11m20s] # write HTML #18415 ab:aab=a,bbbbbbb=1 [11m20s] # write HTML #18416 ab:aab=b,aaaaaaa=1 [11m20s] # write HTML #18615 ab:aba=a,bbbbbbb=1 [11m20s] # write HTML #18616 ab:aba=b,aaaaaaa=1 [11m20s] # write HTML #18619 ab:aba=b,aaaaabb=1 [11m20s] # write HTML #18697 ab:aaa=a,aaabaa=b [11m20s] # write HTML #18706 ab:aaa=a,aababa=a [11m20s] # write HTML #18708 ab:aaa=a,aababb=a [11m20s] # write HTML #18709 ab:aaa=a,aababb=b [11m20s] # write HTML #18711 ab:aaa=a,aabbaa=b [11m20s] # write HTML #18713 ab:aaa=a,aabbab=b [11m20s] # write HTML #18714 ab:aaa=a,aabbba=a [11m20s] # write HTML #18715 ab:aaa=a,aabbba=b [11m20s] # write HTML #18716 ab:aaa=a,aabbbb=a [11m20s] # write HTML #18717 ab:aaa=a,aabbbb=b [11m20s] # write HTML #18722 ab:aaa=a,abaabb=a [11m20s] # write HTML #18726 ab:aaa=a,ababba=a [11m20s] # write HTML #18727 ab:aaa=a,ababba=b [11m20s] # write HTML #18728 ab:aaa=a,ababbb=a [11m20s] # write HTML #18732 ab:aaa=a,abbabb=a [11m20s] # write HTML #18734 ab:aaa=a,abbbab=a [11m20s] # write HTML #18735 ab:aaa=a,abbbab=b [11m20s] # write HTML #18736 ab:aaa=a,abbbba=a [11m20s] # write HTML #18737 ab:aaa=a,abbbba=b [11m20s] # write HTML #18738 ab:aaa=a,abbbbb=a [11m20s] # write HTML #18739 ab:aaa=a,abbbbb=b [11m20s] # write HTML #18745 ab:aaa=a,baabab=b [11m20s] # write HTML #18746 ab:aaa=a,baabbb=a [11m20s] # write HTML #18747 ab:aaa=a,baabbb=b [11m20s] # write HTML #18748 ab:aaa=a,bababb=a [11m20s] # write HTML #18749 ab:aaa=a,bababb=b [11m20s] # write HTML #18750 ab:aaa=a,babbab=a [11m20s] # write HTML #18751 ab:aaa=a,babbab=b [11m20s] # write HTML #18752 ab:aaa=a,babbbb=a [11m20s] # write HTML #18753 ab:aaa=a,babbbb=b [11m20s] # write HTML #18754 ab:aaa=a,bbaabb=a [11m20s] # write HTML #18755 ab:aaa=a,bbaabb=b [11m20s] # write HTML #18756 ab:aaa=a,bbabbb=a [11m20s] # write HTML #18757 ab:aaa=a,bbabbb=b [11m20s] # write HTML #18758 ab:aaa=a,bbbbbb=a [11m20s] # write HTML #18759 ab:aaa=a,bbbbbb=b [11m20s] # write HTML #18811 ab:aaa=b,abbbbb=b [11m20s] # write HTML #18830 ab:aaa=b,bbbbbb=a [11m20s] # write HTML #18831 ab:aaa=b,bbbbbb=b [11m20s] # write HTML #18832 ab:aab=a,aaaaaa=a [11m20s] # write HTML #18926 ab:aab=a,babbbb=a [11m20s] # write HTML #18942 ab:aab=a,bbabbb=a [11m20s] # write HTML #18950 ab:aab=a,bbbabb=a [11m20s] # write HTML #18952 ab:aab=a,bbbbaa=a [11m20s] # write HTML #18954 ab:aab=a,bbbbab=a [11m20s] # write HTML #18956 ab:aab=a,bbbbba=a [11m20s] # write HTML #18958 ab:aab=a,bbbbbb=a [11m20s] # write HTML #18959 ab:aab=a,bbbbbb=b [11m20s] # write HTML #18960 ab:aab=b,aaaaaa=a [11m20s] # write HTML #18993 ab:aab=b,abaaaa=b [11m20s] # write HTML #19001 ab:aab=b,ababaa=b [11m20s] # write HTML #19005 ab:aab=b,ababba=b [11m20s] # write HTML #19009 ab:aab=b,abbaaa=b [11m20s] # write HTML #19019 ab:aab=b,abbbab=b [11m20s] # write HTML #19021 ab:aab=b,abbbba=b [11m20s] # write HTML #19022 ab:aab=b,abbbbb=a [11m20s] # write HTML #19023 ab:aab=b,abbbbb=b [11m20s] # write HTML #19025 ab:aab=b,baaaaa=b [11m20s] # write HTML #19041 ab:aab=b,babaaa=b [11m20s] # write HTML #19047 ab:aab=b,bababb=b [11m20s] # write HTML #19049 ab:aab=b,babbaa=b [11m20s] # write HTML #19051 ab:aab=b,babbab=b [11m20s] # write HTML #19053 ab:aab=b,babbba=b [11m20s] # write HTML #19054 ab:aab=b,babbbb=a [11m20s] # write HTML #19055 ab:aab=b,babbbb=b [11m20s] # write HTML #19057 ab:aab=b,bbaaaa=b [11m20s] # write HTML #19065 ab:aab=b,bbabaa=b [11m20s] # write HTML #19067 ab:aab=b,bbabab=b [11m20s] # write HTML #19069 ab:aab=b,bbabba=b [11m20s] # write HTML #19070 ab:aab=b,bbabbb=a [11m20s] # write HTML #19071 ab:aab=b,bbabbb=b [11m20s] # write HTML #19073 ab:aab=b,bbbaaa=b [11m20s] # write HTML #19081 ab:aab=b,bbbbaa=b [11m20s] # write HTML #19083 ab:aab=b,bbbbab=b [11m20s] # write HTML #19084 ab:aab=b,bbbbba=a [11m20s] # write HTML #19085 ab:aab=b,bbbbba=b [11m20s] # write HTML #19087 ab:aab=b,bbbbbb=b [11m20s] # write HTML #19088 ab:aba=a,aaaaaa=a [11m20s] # write HTML #19094 ab:aba=a,aaaabb=a [11m20s] # write HTML #19100 ab:aba=a,aaabba=a [11m20s] # write HTML #19102 ab:aba=a,aaabbb=a [11m20s] # write HTML #19110 ab:aba=a,aabbaa=a [11m20s] # write HTML #19114 ab:aba=a,aabbba=a [11m20s] # write HTML #19116 ab:aba=a,aabbbb=a [11m20s] # write HTML #19132 ab:aba=a,abbabb=a [11m20s] # write HTML #19136 ab:aba=a,abbbba=a [11m20s] # write HTML #19138 ab:aba=a,abbbbb=a [11m20s] # write HTML #19141 ab:aba=a,baaaab=b [11m20s] # write HTML #19143 ab:aba=a,baaabb=b [11m20s] # write HTML #19147 ab:aba=a,baabbb=b [11m20s] # write HTML #19153 ab:aba=a,babbbb=b [11m20s] # write HTML #19154 ab:aba=a,bbaabb=a [11m20s] # write HTML #19155 ab:aba=a,bbaabb=b [11m20s] # write HTML #19156 ab:aba=a,bbabbb=a [11m20s] # write HTML #19159 ab:aba=a,bbbbbb=b [11m20s] # write HTML #19160 ab:aba=b,aaaaaa=a [11m20s] # write HTML #19163 ab:aba=b,aaaaab=b [11m20s] # write HTML #19175 ab:aba=b,aaabbb=b [11m20s] # write HTML #19211 ab:aba=b,abbbbb=b [11m20s] # write HTML #19212 ab:aba=b,baaaab=a [11m20s] # write HTML #19231 ab:aba=b,bbbbbb=b [11m20s] # write HTML #19236 ab:aaa=a,aaaab=ab [11m20s] # write HTML #19240 ab:aaa=a,aaaba=ab [11m20s] # write HTML #19241 ab:aaa=a,aaaba=ba [11m20s] # write HTML #19244 ab:aaa=a,aaabb=ab [11m20s] # write HTML #19246 ab:aaa=a,aaabb=bb [11m20s] # write HTML #19248 ab:aaa=a,aabaa=ab [11m20s] # write HTML #19249 ab:aaa=a,aabaa=bb [11m20s] # write HTML #19251 ab:aaa=a,aabab=ab [11m20s] # write HTML #19252 ab:aaa=a,aabab=ba [11m20s] # write HTML #19253 ab:aaa=a,aabab=bb [11m20s] # write HTML #19255 ab:aaa=a,aabba=ab [11m20s] # write HTML #19256 ab:aaa=a,aabba=ba [11m20s] # write HTML #19257 ab:aaa=a,aabba=bb [11m20s] # write HTML #19259 ab:aaa=a,aabbb=ab [11m20s] # write HTML #19260 ab:aaa=a,aabbb=ba [11m20s] # write HTML #19261 ab:aaa=a,aabbb=bb [11m20s] # write HTML #19263 ab:aaa=a,abaab=ab [11m20s] # write HTML #19264 ab:aaa=a,abaab=ba [11m20s] # write HTML #19265 ab:aaa=a,abaab=bb [11m20s] # write HTML #19267 ab:aaa=a,ababa=ab [11m20s] # write HTML #19268 ab:aaa=a,ababa=bb [11m20s] # write HTML #19270 ab:aaa=a,ababb=ab [11m20s] # write HTML #19271 ab:aaa=a,ababb=ba [11m20s] # write HTML #19272 ab:aaa=a,ababb=bb [11m20s] # write HTML #19274 ab:aaa=a,abbab=ab [11m20s] # write HTML #19275 ab:aaa=a,abbab=ba [11m20s] # write HTML #19276 ab:aaa=a,abbab=bb [11m20s] # write HTML #19278 ab:aaa=a,abbba=ab [11m20s] # write HTML #19279 ab:aaa=a,abbba=bb [11m20s] # write HTML #19281 ab:aaa=a,abbbb=ab [11m20s] # write HTML #19282 ab:aaa=a,abbbb=ba [11m20s] # write HTML #19283 ab:aaa=a,abbbb=bb [11m20s] # write HTML #19285 ab:aaa=a,baaab=ab [11m20s] # write HTML #19286 ab:aaa=a,baaab=bb [11m20s] # write HTML #19287 ab:aaa=a,baabb=aa [11m20s] # write HTML #19288 ab:aaa=a,baabb=ab [11m20s] # write HTML #19289 ab:aaa=a,baabb=ba [11m20s] # write HTML #19290 ab:aaa=a,baabb=bb [11m20s] # write HTML #19292 ab:aaa=a,babab=ab [11m20s] # write HTML #19293 ab:aaa=a,babab=bb [11m20s] # write HTML #19295 ab:aaa=a,babbb=ab [11m20s] # write HTML #19296 ab:aaa=a,babbb=ba [11m20s] # write HTML #19297 ab:aaa=a,babbb=bb [11m20s] # write HTML #19299 ab:aaa=a,bbabb=ab [11m20s] # write HTML #19300 ab:aaa=a,bbabb=bb [11m20s] # write HTML #19301 ab:aaa=a,bbbbb=aa [11m20s] # write HTML #19302 ab:aaa=a,bbbbb=ab [11m20s] # write HTML #19303 ab:aaa=a,bbbbb=bb [11m20s] # write HTML #19374 ab:aaa=b,bbbbb=ab [11m20s] # write HTML #19486 ab:aab=a,bbabb=ba [11m20s] # write HTML #19490 ab:aab=a,bbbaa=ba [11m20s] # write HTML #19494 ab:aab=a,bbbab=ba [11m20s] # write HTML #19498 ab:aab=a,bbbba=ba [11m20s] # write HTML #19502 ab:aab=a,bbbbb=ba [11m20s] # write HTML #19503 ab:aab=a,bbbbb=bb [11m20s] # write HTML #19504 ab:aab=b,aaaaa=aa [11m20s] # write HTML #19506 ab:aab=b,aaaaa=ba [11m20s] # write HTML #19507 ab:aab=b,aaaaa=bb [11m20s] # write HTML #19514 ab:aab=b,aaaba=ba [11m20s] # write HTML #19519 ab:aab=b,aaabb=bb [11m20s] # write HTML #19522 ab:aab=b,aabaa=ba [11m20s] # write HTML #19523 ab:aab=b,aabaa=bb [11m20s] # write HTML #19527 ab:aab=b,aabab=bb [11m20s] # write HTML #19530 ab:aab=b,aabba=ba [11m20s] # write HTML #19531 ab:aab=b,aabba=bb [11m20s] # write HTML #19532 ab:aab=b,aabbb=aa [11m20s] # write HTML #19535 ab:aab=b,aabbb=bb [11m20s] # write HTML #19538 ab:aab=b,abaaa=ba [11m20s] # write HTML #19539 ab:aab=b,abaaa=bb [11m20s] # write HTML #19546 ab:aab=b,ababa=ba [11m20s] # write HTML #19547 ab:aab=b,ababa=bb [11m20s] # write HTML #19550 ab:aab=b,ababb=ba [11m20s] # write HTML #19551 ab:aab=b,ababb=bb [11m20s] # write HTML #19552 ab:aab=b,abbaa=aa [11m20s] # write HTML #19554 ab:aab=b,abbaa=ba [11m20s] # write HTML #19555 ab:aab=b,abbaa=bb [11m20s] # write HTML #19558 ab:aab=b,abbab=ba [11m20s] # write HTML #19559 ab:aab=b,abbab=bb [11m20s] # write HTML #19560 ab:aab=b,abbba=aa [11m20s] # write HTML #19562 ab:aab=b,abbba=ba [11m20s] # write HTML #19563 ab:aab=b,abbba=bb [11m20s] # write HTML #19564 ab:aab=b,abbbb=aa [11m20s] # write HTML #19566 ab:aab=b,abbbb=ba [11m21s] # write HTML #19567 ab:aab=b,abbbb=bb [11m21s] # write HTML #19570 ab:aab=b,baaaa=ba [11m21s] # write HTML #19571 ab:aab=b,baaaa=bb [11m21s] # write HTML #19586 ab:aab=b,babaa=ba [11m21s] # write HTML #19587 ab:aab=b,babaa=bb [11m21s] # write HTML #19591 ab:aab=b,babab=bb [11m21s] # write HTML #19594 ab:aab=b,babba=ba [11m21s] # write HTML #19595 ab:aab=b,babba=bb [11m21s] # write HTML #19598 ab:aab=b,babbb=ba [11m21s] # write HTML #19599 ab:aab=b,babbb=bb [11m21s] # write HTML #19602 ab:aab=b,bbaaa=ba [11m21s] # write HTML #19603 ab:aab=b,bbaaa=bb [11m21s] # write HTML #19610 ab:aab=b,bbaba=ba [11m21s] # write HTML #19611 ab:aab=b,bbaba=bb [11m21s] # write HTML #19614 ab:aab=b,bbabb=ba [11m21s] # write HTML #19615 ab:aab=b,bbabb=bb [11m21s] # write HTML #19616 ab:aab=b,bbbaa=aa [11m21s] # write HTML #19618 ab:aab=b,bbbaa=ba [11m21s] # write HTML #19619 ab:aab=b,bbbaa=bb [11m21s] # write HTML #19623 ab:aab=b,bbbab=bb [11m21s] # write HTML #19624 ab:aab=b,bbbba=aa [11m21s] # write HTML #19626 ab:aab=b,bbbba=ba [11m21s] # write HTML #19627 ab:aab=b,bbbba=bb [11m21s] # write HTML #19628 ab:aab=b,bbbbb=aa [11m21s] # write HTML #19630 ab:aab=b,bbbbb=ba [11m21s] # write HTML #19631 ab:aab=b,bbbbb=bb [11m21s] # write HTML #19632 ab:aba=a,aaaaa=aa [11m21s] # write HTML #19634 ab:aba=a,aaaaa=bb [11m21s] # write HTML #19638 ab:aba=a,aaaab=bb [11m21s] # write HTML #19643 ab:aba=a,aaabb=aa [11m21s] # write HTML #19644 ab:aba=a,aaabb=ab [11m21s] # write HTML #19646 ab:aba=a,aaabb=bb [11m21s] # write HTML #19654 ab:aba=a,aabba=aa [11m21s] # write HTML #19657 ab:aba=a,aabba=bb [11m21s] # write HTML #19658 ab:aba=a,aabbb=aa [11m21s] # write HTML #19659 ab:aba=a,aabbb=ab [11m21s] # write HTML #19661 ab:aba=a,aabbb=bb [11m21s] # write HTML #19669 ab:aba=a,ababb=aa [11m21s] # write HTML #19670 ab:aba=a,ababb=ab [11m21s] # write HTML #19673 ab:aba=a,abbab=aa [11m21s] # write HTML #19676 ab:aba=a,abbab=bb [11m21s] # write HTML #19677 ab:aba=a,abbba=aa [11m21s] # write HTML #19679 ab:aba=a,abbba=bb [11m21s] # write HTML #19680 ab:aba=a,abbbb=aa [11m21s] # write HTML #19681 ab:aba=a,abbbb=ab [11m21s] # write HTML #19684 ab:aba=a,baaab=aa [11m21s] # write HTML #19686 ab:aba=a,baaab=bb [11m21s] # write HTML #19687 ab:aba=a,baabb=aa [11m21s] # write HTML #19690 ab:aba=a,baabb=bb [11m21s] # write HTML #19693 ab:aba=a,babab=bb [11m21s] # write HTML #19694 ab:aba=a,babbb=aa [11m21s] # write HTML #19697 ab:aba=a,babbb=bb [11m21s] # write HTML #19698 ab:aba=a,bbabb=aa [11m21s] # write HTML #19699 ab:aba=a,bbabb=ab [11m21s] # write HTML #19700 ab:aba=a,bbabb=bb [11m21s] # write HTML #19701 ab:aba=a,bbbbb=aa [11m21s] # write HTML #19703 ab:aba=a,bbbbb=bb [11m21s] # write HTML #19704 ab:aba=b,aaaaa=aa [11m21s] # write HTML #19706 ab:aba=b,aaaaa=bb [11m21s] # write HTML #19718 ab:aba=b,aaabb=bb [11m21s] # write HTML #19725 ab:aba=b,aabab=bb [11m21s] # write HTML #19733 ab:aba=b,aabbb=bb [11m21s] # write HTML #19737 ab:aba=b,abaab=bb [11m21s] # write HTML #19755 ab:aba=b,abbbb=bb [11m21s] # write HTML #19756 ab:aba=b,baaab=aa [11m21s] # write HTML #19758 ab:aba=b,baaab=bb [11m21s] # write HTML #19766 ab:aba=b,babbb=aa [11m21s] # write HTML #19773 ab:aba=b,bbbbb=aa [11m21s] # write HTML #19775 ab:aba=b,bbbbb=bb [11m21s] # write HTML #19792 ab:aaa=a,aaba=aba [11m21s] # write HTML #19793 ab:aaa=a,aaba=abb [11m21s] # write HTML #19794 ab:aaa=a,aaba=baa [11m21s] # write HTML #19795 ab:aaa=a,aaba=bab [11m21s] # write HTML #19796 ab:aaa=a,aaba=bba [11m21s] # write HTML #19797 ab:aaa=a,aaba=bbb [11m21s] # write HTML #19801 ab:aaa=a,aabb=abb [11m21s] # write HTML #19802 ab:aaa=a,aabb=baa [11m21s] # write HTML #19803 ab:aaa=a,aabb=bab [11m21s] # write HTML #19804 ab:aaa=a,aabb=bba [11m21s] # write HTML #19805 ab:aaa=a,aabb=bbb [11m21s] # write HTML #19808 ab:aaa=a,abab=aba [11m21s] # write HTML #19809 ab:aaa=a,abab=abb [11m21s] # write HTML #19810 ab:aaa=a,abab=baa [11m21s] # write HTML #19811 ab:aaa=a,abab=bab [11m21s] # write HTML #19812 ab:aaa=a,abab=bba [11m21s] # write HTML #19813 ab:aaa=a,abab=bbb [11m21s] # write HTML #19816 ab:aaa=a,abba=aba [11m21s] # write HTML #19817 ab:aaa=a,abba=abb [11m21s] # write HTML #19818 ab:aaa=a,abba=bab [11m21s] # write HTML #19822 ab:aaa=a,abbb=aba [11m21s] # write HTML #19823 ab:aaa=a,abbb=abb [11m21s] # write HTML #19824 ab:aaa=a,abbb=baa [11m21s] # write HTML #19825 ab:aaa=a,abbb=bab [11m21s] # write HTML #19826 ab:aaa=a,abbb=bba [11m21s] # write HTML #19827 ab:aaa=a,abbb=bbb [11m21s] # write HTML #19829 ab:aaa=a,baab=aab [11m21s] # write HTML #19830 ab:aaa=a,baab=aba [11m21s] # write HTML #19831 ab:aaa=a,baab=abb [11m21s] # write HTML #19832 ab:aaa=a,baab=bab [11m21s] # write HTML #19833 ab:aaa=a,baab=bbb [11m21s] # write HTML #19835 ab:aaa=a,babb=aab [11m21s] # write HTML #19836 ab:aaa=a,babb=aba [11m21s] # write HTML #19837 ab:aaa=a,babb=abb [11m21s] # write HTML #19838 ab:aaa=a,babb=baa [11m21s] # write HTML #19839 ab:aaa=a,babb=bab [11m21s] # write HTML #19840 ab:aaa=a,babb=bba [11m21s] # write HTML #19841 ab:aaa=a,babb=bbb [11m21s] # write HTML #19843 ab:aaa=a,bbbb=aab [11m21s] # write HTML #19844 ab:aaa=a,bbbb=aba [11m21s] # write HTML #19845 ab:aaa=a,bbbb=abb [11m21s] # write HTML #19846 ab:aaa=a,bbbb=bab [11m21s] # write HTML #19847 ab:aaa=a,bbbb=bbb [11m21s] # write HTML #19899 ab:aaa=b,abbb=bbb [11m21s] # write HTML #19917 ab:aaa=b,bbbb=abb [11m21s] # write HTML #20038 ab:aab=a,bbba=bba [11m21s] # write HTML #20046 ab:aab=a,bbbb=bba [11m21s] # write HTML #20047 ab:aab=a,bbbb=bbb [11m21s] # write HTML #20048 ab:aab=b,aaaa=aaa [11m21s] # write HTML #20051 ab:aab=b,aaaa=abb [11m21s] # write HTML #20052 ab:aab=b,aaaa=baa [11m21s] # write HTML #20054 ab:aab=b,aaaa=bba [11m21s] # write HTML #20055 ab:aab=b,aaaa=bbb [11m21s] # write HTML #20084 ab:aab=b,abaa=baa [11m21s] # write HTML #20085 ab:aab=b,abaa=bab [11m21s] # write HTML #20086 ab:aab=b,abaa=bba [11m21s] # write HTML #20087 ab:aab=b,abaa=bbb [11m21s] # write HTML #20094 ab:aab=b,abab=bba [11m21s] # write HTML #20095 ab:aab=b,abab=bbb [11m21s] # write HTML #20096 ab:aab=b,abba=aaa [11m21s] # write HTML #20102 ab:aab=b,abba=bba [11m21s] # write HTML #20103 ab:aab=b,abba=bbb [11m21s] # write HTML #20104 ab:aab=b,abbb=aaa [11m21s] # write HTML #20111 ab:aab=b,abbb=bbb [11m21s] # write HTML #20112 ab:aab=b,baaa=aaa [11m21s] # write HTML #20116 ab:aab=b,baaa=baa [11m21s] # write HTML #20117 ab:aab=b,baaa=bab [11m21s] # write HTML #20118 ab:aab=b,baaa=bba [11m21s] # write HTML #20119 ab:aab=b,baaa=bbb [11m21s] # write HTML #20132 ab:aab=b,baba=baa [11m21s] # write HTML #20133 ab:aab=b,baba=bab [11m21s] # write HTML #20134 ab:aab=b,baba=bba [11m21s] # write HTML #20135 ab:aab=b,baba=bbb [11m21s] # write HTML #20140 ab:aab=b,babb=baa [11m21s] # write HTML #20141 ab:aab=b,babb=bab [11m21s] # write HTML #20142 ab:aab=b,babb=bba [11m21s] # write HTML #20143 ab:aab=b,babb=bbb [11m21s] # write HTML #20144 ab:aab=b,bbaa=aaa [11m21s] # write HTML #20148 ab:aab=b,bbaa=baa [11m21s] # write HTML #20149 ab:aab=b,bbaa=bab [11m21s] # write HTML #20150 ab:aab=b,bbaa=bba [11m21s] # write HTML #20151 ab:aab=b,bbaa=bbb [11m21s] # write HTML #20156 ab:aab=b,bbab=baa [11m21s] # write HTML #20157 ab:aab=b,bbab=bab [11m21s] # write HTML #20158 ab:aab=b,bbab=bba [11m21s] # write HTML #20159 ab:aab=b,bbab=bbb [11m21s] # write HTML #20160 ab:aab=b,bbba=aaa [11m21s] # write HTML #20164 ab:aab=b,bbba=baa [11m21s] # write HTML #20165 ab:aab=b,bbba=bab [11m21s] # write HTML #20166 ab:aab=b,bbba=bba [11m21s] # write HTML #20167 ab:aab=b,bbba=bbb [11m21s] # write HTML #20168 ab:aab=b,bbbb=aaa [11m21s] # write HTML #20172 ab:aab=b,bbbb=baa [11m21s] # write HTML #20173 ab:aab=b,bbbb=bab [11m21s] # write HTML #20174 ab:aab=b,bbbb=bba [11m21s] # write HTML #20175 ab:aab=b,bbbb=bbb [11m21s] # write HTML #20176 ab:aba=a,aaaa=aaa [11m21s] # write HTML #20177 ab:aba=a,aaaa=aab [11m21s] # write HTML #20179 ab:aba=a,aaaa=abb [11m21s] # write HTML #20181 ab:aba=a,aaaa=bbb [11m21s] # write HTML #20182 ab:aba=a,aaab=aaa [11m21s] # write HTML #20185 ab:aba=a,aaab=abb [11m21s] # write HTML #20188 ab:aba=a,aaab=bba [11m21s] # write HTML #20189 ab:aba=a,aaab=bbb [11m21s] # write HTML #20194 ab:aba=a,aaba=baa [11m21s] # write HTML #20197 ab:aba=a,aaba=bbb [11m21s] # write HTML #20198 ab:aba=a,aabb=aaa [11m21s] # write HTML #20199 ab:aba=a,aabb=aab [11m21s] # write HTML #20201 ab:aba=a,aabb=abb [11m21s] # write HTML #20202 ab:aba=a,aabb=baa [11m21s] # write HTML #20204 ab:aba=a,aabb=bba [11m21s] # write HTML #20205 ab:aba=a,aabb=bbb [11m21s] # write HTML #20214 ab:aba=a,abba=aaa [11m21s] # write HTML #20215 ab:aba=a,abba=aab [11m21s] # write HTML #20217 ab:aba=a,abba=abb [11m21s] # write HTML #20219 ab:aba=a,abba=bbb [11m21s] # write HTML #20220 ab:aba=a,abbb=aaa [11m21s] # write HTML #20221 ab:aba=a,abbb=aab [11m21s] # write HTML #20223 ab:aba=a,abbb=abb [11m21s] # write HTML #20224 ab:aba=a,abbb=baa [11m21s] # write HTML #20226 ab:aba=a,abbb=bba [11m21s] # write HTML #20227 ab:aba=a,abbb=bbb [11m21s] # write HTML #20228 ab:aba=a,baab=aaa [11m21s] # write HTML #20231 ab:aba=a,baab=abb [11m21s] # write HTML #20233 ab:aba=a,baab=bbb [11m21s] # write HTML #20234 ab:aba=a,babb=aaa [11m21s] # write HTML #20235 ab:aba=a,babb=aab [11m21s] # write HTML #20237 ab:aba=a,babb=abb [11m21s] # write HTML #20240 ab:aba=a,babb=bba [11m21s] # write HTML #20241 ab:aba=a,babb=bbb [11m21s] # write HTML #20242 ab:aba=a,bbbb=aaa [11m21s] # write HTML #20243 ab:aba=a,bbbb=aab [11m21s] # write HTML #20245 ab:aba=a,bbbb=abb [11m21s] # write HTML #20246 ab:aba=a,bbbb=bab [11m21s] # write HTML #20247 ab:aba=a,bbbb=bbb [11m21s] # write HTML #20248 ab:aba=b,aaaa=aaa [11m21s] # write HTML #20251 ab:aba=b,aaaa=abb [11m21s] # write HTML #20252 ab:aba=b,aaaa=bab [11m21s] # write HTML #20253 ab:aba=b,aaaa=bbb [11m21s] # write HTML #20273 ab:aba=b,aabb=abb [11m21s] # write HTML #20275 ab:aba=b,aabb=bab [11m21s] # write HTML #20277 ab:aba=b,aabb=bbb [11m21s] # write HTML #20295 ab:aba=b,abbb=abb [11m21s] # write HTML #20297 ab:aba=b,abbb=bab [11m21s] # write HTML #20300 ab:aba=b,baab=aaa [11m21s] # write HTML #20303 ab:aba=b,baab=abb [11m21s] # write HTML #20304 ab:aba=b,baab=bab [11m21s] # write HTML #20305 ab:aba=b,baab=bbb [11m21s] # write HTML #20314 ab:aba=b,bbbb=aaa [11m21s] # write HTML #20317 ab:aba=b,bbbb=abb [11m21s] # write HTML #20318 ab:aba=b,bbbb=bab [11m21s] # write HTML #20448 ab:ba=ab,aaaaaaa=1 [11m21s] # write HTML #20520 ab:ab=aa,aaaaaa=a [11m21s] # write HTML #20584 ab:ab=aa,baaaaa=a [11m21s] # write HTML #20616 ab:ab=aa,bbaaaa=a [11m21s] # write HTML #20632 ab:ab=aa,bbbaaa=a [11m21s] # write HTML #20640 ab:ab=aa,bbbbaa=a [11m21s] # write HTML #20644 ab:ab=aa,bbbbba=a [11m21s] # write HTML #20647 ab:ab=aa,bbbbbb=b [11m21s] # write HTML #20648 ab:ba=ab,aaaaaa=a [11m21s] # write HTML #20650 ab:ba=ab,aaaaab=a [11m21s] # write HTML #20651 ab:ba=ab,aaaaab=b [11m21s] # write HTML #20654 ab:ba=ab,aaaabb=a [11m21s] # write HTML #20655 ab:ba=ab,aaaabb=b [11m21s] # write HTML #20662 ab:ba=ab,aaabbb=a [11m21s] # write HTML #20686 ab:bb=aa,aaaaab=a [11m21s] # write HTML #20720 ab:ab=aa,aaaaa=aa [11m21s] # write HTML #20722 ab:ab=aa,aaaaa=ba [11m21s] # write HTML #20723 ab:ab=aa,aaaaa=bb [11m21s] # write HTML #20784 ab:ab=aa,baaaa=aa [11m21s] # write HTML #20786 ab:ab=aa,baaaa=ba [11m21s] # write HTML #20787 ab:ab=aa,baaaa=bb [11m21s] # write HTML #20816 ab:ab=aa,bbaaa=aa [11m21s] # write HTML #20818 ab:ab=aa,bbaaa=ba [11m21s] # write HTML #20819 ab:ab=aa,bbaaa=bb [11m21s] # write HTML #20832 ab:ab=aa,bbbaa=aa [11m21s] # write HTML #20834 ab:ab=aa,bbbaa=ba [11m21s] # write HTML #20840 ab:ab=aa,bbbba=aa [11m21s] # write HTML #20842 ab:ab=aa,bbbba=ba [11m21s] # write HTML #20844 ab:ab=aa,bbbbb=aa [11m21s] # write HTML #20846 ab:ab=aa,bbbbb=ba [11m21s] # write HTML #20847 ab:ab=aa,bbbbb=bb [11m21s] # write HTML #20848 ab:ba=ab,aaaaa=aa [11m21s] # write HTML #20849 ab:ba=ab,aaaaa=ab [11m21s] # write HTML #20850 ab:ba=ab,aaaaa=bb [11m21s] # write HTML #20851 ab:ba=ab,aaaab=aa [11m21s] # write HTML #20852 ab:ba=ab,aaaab=ab [11m21s] # write HTML #20854 ab:ba=ab,aaaab=bb [11m21s] # write HTML #20859 ab:ba=ab,aaabb=aa [11m21s] # write HTML #20860 ab:ba=ab,aaabb=ab [11m21s] # write HTML #20862 ab:ba=ab,aaabb=bb [11m21s] # write HTML #20884 ab:bb=aa,aaaaa=aa [11m21s] # write HTML #20885 ab:bb=aa,aaaaa=ab [11m21s] # write HTML #20914 ab:bb=aa,ababa=aa [11m21s] # write HTML #20920 ab:ab=aa,aaaa=aaa [11m21s] # write HTML #20924 ab:ab=aa,aaaa=baa [11m21s] # write HTML #20926 ab:ab=aa,aaaa=bba [11m21s] # write HTML #20927 ab:ab=aa,aaaa=bbb [11m21s] # write HTML #20984 ab:ab=aa,baaa=aaa [11m21s] # write HTML #20988 ab:ab=aa,baaa=baa [11m21s] # write HTML #20990 ab:ab=aa,baaa=bba [11m21s] # write HTML #20991 ab:ab=aa,baaa=bbb [11m21s] # write HTML #21016 ab:ab=aa,bbaa=aaa [11m21s] # write HTML #21020 ab:ab=aa,bbaa=baa [11m21s] # write HTML #21022 ab:ab=aa,bbaa=bba [11m21s] # write HTML #21023 ab:ab=aa,bbaa=bbb [11m21s] # write HTML #21032 ab:ab=aa,bbba=aaa [11m21s] # write HTML #21036 ab:ab=aa,bbba=baa [11m21s] # write HTML #21038 ab:ab=aa,bbba=bba [11m21s] # write HTML #21039 ab:ab=aa,bbba=bbb [11m21s] # write HTML #21040 ab:ab=aa,bbbb=aaa [11m21s] # write HTML #21044 ab:ab=aa,bbbb=baa [11m21s] # write HTML #21046 ab:ab=aa,bbbb=bba [11m21s] # write HTML #21047 ab:ab=aa,bbbb=bbb [11m21s] # write HTML #21048 ab:ba=ab,aaaa=aaa [11m21s] # write HTML #21049 ab:ba=ab,aaaa=aab [11m21s] # write HTML #21051 ab:ba=ab,aaaa=abb [11m21s] # write HTML #21053 ab:ba=ab,aaaa=bbb [11m21s] # write HTML #21054 ab:ba=ab,aaab=aaa [11m21s] # write HTML #21055 ab:ba=ab,aaab=aab [11m21s] # write HTML #21057 ab:ba=ab,aaab=abb [11m21s] # write HTML #21061 ab:ba=ab,aaab=bbb [11m21s] # write HTML #21070 ab:ba=ab,aabb=aaa [11m21s] # write HTML #21071 ab:ba=ab,aabb=aab [11m21s] # write HTML #21084 ab:bb=aa,aaaa=aaa [11m21s] # write HTML #21086 ab:bb=aa,aaaa=aba [11m21s] # write HTML #21090 ab:bb=aa,aaab=aaa [11m21s] # write HTML #21092 ab:bb=aa,aaab=aba [11m21s] # write HTML #21110 ab:bb=aa,abab=aaa [11m21s] # write HTML #21112 ab:bb=aa,abab=aba [11m21s] # write HTML #21192 ab:aaa=1,abababab=1 [11m21s] # write HTML #21200 ab:aaa=1,ababbbbb=1 [11m22s] # write HTML #21214 ab:aaa=1,abbbabbb=1 [11m22s] # write HTML #21255 ab:aaa=1,bbbbbbbb=1 [11m22s] # write HTML #21725 ab:aaa=1,abababb=b [11m22s] # write HTML #21729 ab:aaa=1,ababbba=b [11m22s] # write HTML #21731 ab:aaa=1,ababbbb=b [11m22s] # write HTML #21739 ab:aaa=1,abbabba=b [11m22s] # write HTML #21741 ab:aaa=1,abbabbb=b [11m22s] # write HTML #21749 ab:aaa=1,abbbbba=b [11m22s] # write HTML #21751 ab:aaa=1,abbbbbb=b [11m22s] # write HTML #21760 ab:aaa=1,baabaab=a [11m22s] # write HTML #21761 ab:aaa=1,baabaab=b [11m22s] # write HTML #21763 ab:aaa=1,baababb=b [11m22s] # write HTML #21765 ab:aaa=1,baabbab=b [11m22s] # write HTML #21767 ab:aaa=1,baabbbb=b [11m22s] # write HTML #21769 ab:aaa=1,babaabb=b [11m22s] # write HTML #21771 ab:aaa=1,bababab=b [11m22s] # write HTML #21772 ab:aaa=1,bababbb=a [11m22s] # write HTML #21773 ab:aaa=1,bababbb=b [11m22s] # write HTML #21775 ab:aaa=1,babbabb=b [11m22s] # write HTML #21777 ab:aaa=1,babbbab=b [11m22s] # write HTML #21778 ab:aaa=1,babbbbb=a [11m22s] # write HTML #21779 ab:aaa=1,babbbbb=b [11m22s] # write HTML #21783 ab:aaa=1,bbaabbb=b [11m22s] # write HTML #21786 ab:aaa=1,bbabbbb=a [11m22s] # write HTML #21787 ab:aaa=1,bbabbbb=b [11m22s] # write HTML #21788 ab:aaa=1,bbbabbb=a [11m22s] # write HTML #21791 ab:aaa=1,bbbbbbb=b [11m22s] # write HTML #22264 ab:aaa=1,ababab=bb [11m22s] # write HTML #22268 ab:aaa=1,ababba=bb [11m22s] # write HTML #22272 ab:aaa=1,ababbb=bb [11m22s] # write HTML #22275 ab:aaa=1,abbaab=ba [11m22s] # write HTML #22276 ab:aaa=1,abbaab=bb [11m22s] # write HTML #22279 ab:aaa=1,abbabb=ba [11m22s] # write HTML #22283 ab:aaa=1,abbbab=ba [11m22s] # write HTML #22284 ab:aaa=1,abbbab=bb [11m22s] # write HTML #22287 ab:aaa=1,abbbba=bb [11m22s] # write HTML #22290 ab:aaa=1,abbbbb=ba [11m22s] # write HTML #22291 ab:aaa=1,abbbbb=bb [11m22s] # write HTML #22302 ab:aaa=1,baabab=bb [11m22s] # write HTML #22306 ab:aaa=1,baabbb=bb [11m22s] # write HTML #22310 ab:aaa=1,bababb=bb [11m22s] # write HTML #22313 ab:aaa=1,babbab=bb [11m22s] # write HTML #22315 ab:aaa=1,babbbb=ab [11m22s] # write HTML #22316 ab:aaa=1,babbbb=ba [11m22s] # write HTML #22317 ab:aaa=1,babbbb=bb [11m22s] # write HTML #22320 ab:aaa=1,bbaabb=bb [11m22s] # write HTML #22322 ab:aaa=1,bbabbb=ab [11m22s] # write HTML #22324 ab:aaa=1,bbabbb=bb [11m22s] # write HTML #22327 ab:aaa=1,bbbbbb=bb [11m22s] # write HTML #22785 ab:aaa=1,abaab=bab [11m22s] # write HTML #22786 ab:aaa=1,abaab=bba [11m22s] # write HTML #22787 ab:aaa=1,abaab=bbb [11m22s] # write HTML #22793 ab:aaa=1,ababa=bbb [11m22s] # write HTML #22799 ab:aaa=1,ababb=bab [11m22s] # write HTML #22800 ab:aaa=1,ababb=bba [11m22s] # write HTML #22801 ab:aaa=1,ababb=bbb [11m22s] # write HTML #22807 ab:aaa=1,abbab=bab [11m22s] # write HTML #22808 ab:aaa=1,abbab=bba [11m22s] # write HTML #22809 ab:aaa=1,abbab=bbb [11m22s] # write HTML #22815 ab:aaa=1,abbba=bbb [11m22s] # write HTML #22821 ab:aaa=1,abbbb=bab [11m22s] # write HTML #22822 ab:aaa=1,abbbb=bba [11m22s] # write HTML #22823 ab:aaa=1,abbbb=bbb [11m22s] # write HTML #22833 ab:aaa=1,baabb=abb [11m22s] # write HTML #22835 ab:aaa=1,baabb=bab [11m22s] # write HTML #22836 ab:aaa=1,baabb=bba [11m22s] # write HTML #22837 ab:aaa=1,baabb=bbb [11m22s] # write HTML #22841 ab:aaa=1,babab=abb [11m22s] # write HTML #22842 ab:aaa=1,babab=bab [11m22s] # write HTML #22843 ab:aaa=1,babab=bbb [11m22s] # write HTML #22847 ab:aaa=1,babbb=abb [11m22s] # write HTML #22849 ab:aaa=1,babbb=bab [11m22s] # write HTML #22850 ab:aaa=1,babbb=bba [11m22s] # write HTML #22851 ab:aaa=1,babbb=bbb [11m22s] # write HTML #22855 ab:aaa=1,bbabb=abb [11m22s] # write HTML #22856 ab:aaa=1,bbabb=bab [11m22s] # write HTML #22857 ab:aaa=1,bbabb=bbb [11m22s] # write HTML #22860 ab:aaa=1,bbbbb=aba [11m22s] # write HTML #22861 ab:aaa=1,bbbbb=abb [11m22s] # write HTML #22862 ab:aaa=1,bbbbb=bab [11m22s] # write HTML #22863 ab:aaa=1,bbbbb=bbb [11m22s] # write HTML #23300 ab:aaa=1,baab=abbb [11m22s] # write HTML #23303 ab:aaa=1,baba=abbb [11m22s] # write HTML #23309 ab:aaa=1,babb=abab [11m22s] # write HTML #23310 ab:aaa=1,babb=abba [11m22s] # write HTML #23311 ab:aaa=1,babb=abbb [11m22s] # write HTML #23313 ab:aaa=1,babb=baab [11m22s] # write HTML #23314 ab:aaa=1,babb=baba [11m22s] # write HTML #23318 ab:aaa=1,bbab=abbb [11m22s] # write HTML #23319 ab:aaa=1,bbab=babb [11m22s] # write HTML #23320 ab:aaa=1,bbba=abbb [11m22s] # write HTML #23325 ab:aaa=1,bbbb=abab [11m22s] # write HTML #23326 ab:aaa=1,bbbb=abba [11m22s] # write HTML #23327 ab:aaa=1,bbbb=abbb [11m22s] # write HTML #23328 ab:aaa=1,bbbb=baab [11m22s] # write HTML #23329 ab:aaa=1,bbbb=babb [11m22s] # write HTML #23392 ab:aab=1,babb=abbb [11m22s] # write HTML #23651 ab:aa=a,bbbbbbbb=1 [11m22s] # write HTML #24043 ab:ab=a,bbbbbbbb=1 [11m22s] # write HTML #24118 ab:aa=a,abababa=a [11m22s] # write HTML #24120 ab:aa=a,abababb=a [11m22s] # write HTML #24124 ab:aa=a,ababbba=a [11m22s] # write HTML #24126 ab:aa=a,ababbbb=a [11m22s] # write HTML #24134 ab:aa=a,abbabba=a [11m22s] # write HTML #24136 ab:aa=a,abbabbb=a [11m22s] # write HTML #24140 ab:aa=a,abbbabb=a [11m22s] # write HTML #24142 ab:aa=a,abbbbab=a [11m22s] # write HTML #24144 ab:aa=a,abbbbba=a [11m22s] # write HTML #24145 ab:aa=a,abbbbba=b [11m22s] # write HTML #24146 ab:aa=a,abbbbbb=a [11m22s] # write HTML #24147 ab:aa=a,abbbbbb=b [11m22s] # write HTML #24167 ab:aa=a,bababab=b [11m22s] # write HTML #24168 ab:aa=a,bababbb=a [11m22s] # write HTML #24169 ab:aa=a,bababbb=b [11m22s] # write HTML #24170 ab:aa=a,babbabb=a [11m22s] # write HTML #24171 ab:aa=a,babbabb=b [11m22s] # write HTML #24172 ab:aa=a,babbbab=a [11m22s] # write HTML #24173 ab:aa=a,babbbab=b [11m22s] # write HTML #24174 ab:aa=a,babbbbb=a [11m22s] # write HTML #24175 ab:aa=a,babbbbb=b [11m22s] # write HTML #24180 ab:aa=a,bbababb=a [11m22s] # write HTML #24182 ab:aa=a,bbabbbb=a [11m22s] # write HTML #24183 ab:aa=a,bbabbbb=b [11m22s] # write HTML #24184 ab:aa=a,bbbabbb=a [11m22s] # write HTML #24186 ab:aa=a,bbbbbbb=a [11m22s] # write HTML #24187 ab:aa=a,bbbbbbb=b [11m22s] # write HTML #24331 ab:aa=b,bbbbbbb=b [11m22s] # write HTML #24332 ab:ab=a,aaaaaaa=a [11m22s] # write HTML #24460 ab:ab=a,baaaaaa=a [11m22s] # write HTML #24524 ab:ab=a,bbaaaaa=a [11m22s] # write HTML #24556 ab:ab=a,bbbaaaa=a [11m22s] # write HTML #24572 ab:ab=a,bbbbaaa=a [11m22s] # write HTML #24580 ab:ab=a,bbbbbaa=a [11m22s] # write HTML #24584 ab:ab=a,bbbbbba=a [11m22s] # write HTML #24587 ab:ab=a,bbbbbbb=b [11m22s] # write HTML #24658 ab:aa=a,ababab=ab [11m22s] # write HTML #24660 ab:aa=a,ababab=bb [11m22s] # write HTML #24666 ab:aa=a,ababbb=ab [11m22s] # write HTML #24667 ab:aa=a,ababbb=ba [11m22s] # write HTML #24674 ab:aa=a,abbabb=ab [11m22s] # write HTML #24675 ab:aa=a,abbabb=ba [11m22s] # write HTML #24678 ab:aa=a,abbbab=ab [11m22s] # write HTML #24679 ab:aa=a,abbbab=ba [11m22s] # write HTML #24680 ab:aa=a,abbbab=bb [11m22s] # write HTML #24682 ab:aa=a,abbbba=ab [11m22s] # write HTML #24683 ab:aa=a,abbbba=bb [11m22s] # write HTML #24685 ab:aa=a,abbbbb=ab [11m22s] # write HTML #24686 ab:aa=a,abbbbb=ba [11m22s] # write HTML #24687 ab:aa=a,abbbbb=bb [11m22s] # write HTML #24704 ab:aa=a,bababb=ab [11m22s] # write HTML #24705 ab:aa=a,bababb=ba [11m22s] # write HTML #24706 ab:aa=a,bababb=bb [11m22s] # write HTML #24708 ab:aa=a,babbab=ab [11m22s] # write HTML #24709 ab:aa=a,babbab=bb [11m22s] # write HTML #24711 ab:aa=a,babbbb=ab [11m22s] # write HTML #24712 ab:aa=a,babbbb=ba [11m22s] # write HTML #24713 ab:aa=a,babbbb=bb [11m22s] # write HTML #24718 ab:aa=a,bbabbb=ab [11m22s] # write HTML #24719 ab:aa=a,bbabbb=ba [11m22s] # write HTML #24720 ab:aa=a,bbabbb=bb [11m22s] # write HTML #24722 ab:aa=a,bbbbbb=ab [11m22s] # write HTML #24723 ab:aa=a,bbbbbb=bb [11m22s] # write HTML #24860 ab:ab=a,aaaaaa=aa [11m22s] # write HTML #24862 ab:ab=a,aaaaaa=ba [11m22s] # write HTML #24863 ab:ab=a,aaaaaa=bb [11m22s] # write HTML #24988 ab:ab=a,baaaaa=aa [11m22s] # write HTML #24990 ab:ab=a,baaaaa=ba [11m22s] # write HTML #24991 ab:ab=a,baaaaa=bb [11m22s] # write HTML #25052 ab:ab=a,bbaaaa=aa [11m22s] # write HTML #25054 ab:ab=a,bbaaaa=ba [11m22s] # write HTML #25055 ab:ab=a,bbaaaa=bb [11m22s] # write HTML #25084 ab:ab=a,bbbaaa=aa [11m22s] # write HTML #25086 ab:ab=a,bbbaaa=ba [11m22s] # write HTML #25100 ab:ab=a,bbbbaa=aa [11m22s] # write HTML #25102 ab:ab=a,bbbbaa=ba [11m22s] # write HTML #25108 ab:ab=a,bbbbba=aa [11m22s] # write HTML #25110 ab:ab=a,bbbbba=ba [11m22s] # write HTML #25112 ab:ab=a,bbbbbb=aa [11m22s] # write HTML #25114 ab:ab=a,bbbbbb=ba [11m22s] # write HTML #25115 ab:ab=a,bbbbbb=bb [11m22s] # write HTML #25186 ab:aa=a,ababa=aba [11m22s] # write HTML #25187 ab:aa=a,ababa=abb [11m22s] # write HTML #25188 ab:aa=a,ababa=bab [11m22s] # write HTML #25189 ab:aa=a,ababa=bbb [11m22s] # write HTML #25192 ab:aa=a,ababb=aba [11m22s] # write HTML #25193 ab:aa=a,ababb=abb [11m22s] # write HTML #25195 ab:aa=a,ababb=bab [11m22s] # write HTML #25196 ab:aa=a,ababb=bba [11m22s] # write HTML #25197 ab:aa=a,ababb=bbb [11m22s] # write HTML #25200 ab:aa=a,abbab=aba [11m22s] # write HTML #25201 ab:aa=a,abbab=abb [11m22s] # write HTML #25203 ab:aa=a,abbab=bab [11m22s] # write HTML #25204 ab:aa=a,abbab=bba [11m22s] # write HTML #25205 ab:aa=a,abbab=bbb [11m22s] # write HTML #25208 ab:aa=a,abbba=aba [11m22s] # write HTML #25209 ab:aa=a,abbba=abb [11m22s] # write HTML #25210 ab:aa=a,abbba=bab [11m22s] # write HTML #25211 ab:aa=a,abbba=bbb [11m22s] # write HTML #25214 ab:aa=a,abbbb=aba [11m22s] # write HTML #25215 ab:aa=a,abbbb=abb [11m22s] # write HTML #25217 ab:aa=a,abbbb=bab [11m22s] # write HTML #25218 ab:aa=a,abbbb=bba [11m22s] # write HTML #25219 ab:aa=a,abbbb=bbb [11m22s] # write HTML #25236 ab:aa=a,babab=aba [11m22s] # write HTML #25237 ab:aa=a,babab=abb [11m22s] # write HTML #25238 ab:aa=a,babab=bab [11m22s] # write HTML #25239 ab:aa=a,babab=bbb [11m22s] # write HTML #25242 ab:aa=a,babbb=aba [11m22s] # write HTML #25243 ab:aa=a,babbb=abb [11m22s] # write HTML #25245 ab:aa=a,babbb=bab [11m22s] # write HTML #25246 ab:aa=a,babbb=bba [11m22s] # write HTML #25247 ab:aa=a,babbb=bbb [11m22s] # write HTML #25250 ab:aa=a,bbabb=aba [11m22s] # write HTML #25251 ab:aa=a,bbabb=abb [11m22s] # write HTML #25252 ab:aa=a,bbabb=bab [11m22s] # write HTML #25253 ab:aa=a,bbabb=bbb [11m22s] # write HTML #25256 ab:aa=a,bbbbb=aba [11m22s] # write HTML #25257 ab:aa=a,bbbbb=abb [11m22s] # write HTML #25258 ab:aa=a,bbbbb=bab [11m22s] # write HTML #25259 ab:aa=a,bbbbb=bbb [11m22s] # write HTML #25404 ab:ab=a,aaaaa=aaa [11m22s] # write HTML #25408 ab:ab=a,aaaaa=baa [11m22s] # write HTML #25410 ab:ab=a,aaaaa=bba [11m22s] # write HTML #25411 ab:ab=a,aaaaa=bbb [11m22s] # write HTML #25532 ab:ab=a,baaaa=aaa [11m22s] # write HTML #25536 ab:ab=a,baaaa=baa [11m22s] # write HTML #25538 ab:ab=a,baaaa=bba [11m22s] # write HTML #25539 ab:ab=a,baaaa=bbb [11m22s] # write HTML #25596 ab:ab=a,bbaaa=aaa [11m22s] # write HTML #25600 ab:ab=a,bbaaa=baa [11m22s] # write HTML #25602 ab:ab=a,bbaaa=bba [11m22s] # write HTML #25603 ab:ab=a,bbaaa=bbb [11m22s] # write HTML #25628 ab:ab=a,bbbaa=aaa [11m22s] # write HTML #25632 ab:ab=a,bbbaa=baa [11m22s] # write HTML #25634 ab:ab=a,bbbaa=bba [11m22s] # write HTML #25635 ab:ab=a,bbbaa=bbb [11m22s] # write HTML #25644 ab:ab=a,bbbba=aaa [11m22s] # write HTML #25648 ab:ab=a,bbbba=baa [11m22s] # write HTML #25650 ab:ab=a,bbbba=bba [11m22s] # write HTML #25652 ab:ab=a,bbbbb=aaa [11m22s] # write HTML #25656 ab:ab=a,bbbbb=baa [11m22s] # write HTML #25658 ab:ab=a,bbbbb=bba [11m23s] # write HTML #25659 ab:ab=a,bbbbb=bbb [11m23s] # write HTML #25678 ab:aa=a,abba=abab [11m23s] # write HTML #25684 ab:aa=a,abbb=abab [11m23s] # write HTML #25685 ab:aa=a,abbb=abba [11m23s] # write HTML #25698 ab:aa=a,baba=abab [11m23s] # write HTML #25699 ab:aa=a,baba=abbb [11m23s] # write HTML #25705 ab:aa=a,babb=abab [11m23s] # write HTML #25706 ab:aa=a,babb=abba [11m23s] # write HTML #25707 ab:aa=a,babb=abbb [11m23s] # write HTML #25710 ab:aa=a,babb=baba [11m23s] # write HTML #25714 ab:aa=a,bbab=abbb [11m23s] # write HTML #25715 ab:aa=a,bbab=babb [11m23s] # write HTML #25716 ab:aa=a,bbba=abbb [11m23s] # write HTML #25721 ab:aa=a,bbbb=abab [11m23s] # write HTML #25722 ab:aa=a,bbbb=abba [11m23s] # write HTML #25723 ab:aa=a,bbbb=abbb [11m23s] # write HTML #25725 ab:aa=a,bbbb=babb [11m23s] # write HTML #25820 ab:ab=a,baaa=aaaa [11m23s] # write HTML #25858 ab:ab=a,bbaa=aaaa [11m23s] # write HTML #25866 ab:ab=a,bbaa=baaa [11m23s] # write HTML #25883 ab:ab=a,bbba=aaaa [11m23s] # write HTML #25891 ab:ab=a,bbba=baaa [11m23s] # write HTML #25895 ab:ab=a,bbba=bbaa [11m23s] # write HTML #25897 ab:ab=a,bbbb=aaaa [11m23s] # write HTML #25905 ab:ab=a,bbbb=baaa [11m23s] # write HTML #25909 ab:ab=a,bbbb=bbaa [11m23s] # write HTML #25911 ab:ab=a,bbbb=bbba [11m23s] # write HTML #26090 ab:aa=1,abbabbabb=1 [11m23s] # write HTML #26183 ab:aa=1,bbbbbbbbb=1 [11m23s] # write HTML #26599 ab:aa=1,ababbbba=b [11m23s] # write HTML #26601 ab:aa=1,ababbbbb=b [11m23s] # write HTML #26619 ab:aa=1,abbabbba=b [11m23s] # write HTML #26635 ab:aa=1,abbbbbab=b [11m23s] # write HTML #26637 ab:aa=1,abbbbbba=b [11m23s] # write HTML #26639 ab:aa=1,abbbbbbb=b [11m23s] # write HTML #26677 ab:aa=1,babababb=b [11m23s] # write HTML #26679 ab:aa=1,bababbab=b [11m23s] # write HTML #26681 ab:aa=1,bababbbb=b [11m23s] # write HTML #26685 ab:aa=1,babbabbb=b [11m23s] # write HTML #26687 ab:aa=1,babbbabb=b [11m23s] # write HTML #26689 ab:aa=1,babbbbab=b [11m23s] # write HTML #26691 ab:aa=1,babbbbbb=b [11m23s] # write HTML #26705 ab:aa=1,bbabbbbb=b [11m23s] # write HTML #26711 ab:aa=1,bbbbbbbb=b [11m23s] # write HTML #27121 ab:aa=1,ababbab=bb [11m23s] # write HTML #27125 ab:aa=1,ababbba=bb [11m23s] # write HTML #27129 ab:aa=1,ababbbb=bb [11m23s] # write HTML #27141 ab:aa=1,abbabab=bb [11m23s] # write HTML #27144 ab:aa=1,abbabba=bb [11m23s] # write HTML #27156 ab:aa=1,abbbabb=bb [11m23s] # write HTML #27160 ab:aa=1,abbbbab=bb [11m23s] # write HTML #27163 ab:aa=1,abbbbba=bb [11m23s] # write HTML #27167 ab:aa=1,abbbbbb=bb [11m23s] # write HTML #27204 ab:aa=1,bababab=bb [11m23s] # write HTML #27208 ab:aa=1,bababbb=bb [11m23s] # write HTML #27212 ab:aa=1,babbabb=bb [11m23s] # write HTML #27215 ab:aa=1,babbbab=bb [11m23s] # write HTML #27219 ab:aa=1,babbbbb=bb [11m23s] # write HTML #27229 ab:aa=1,bbababb=bb [11m23s] # write HTML #27233 ab:aa=1,bbabbbb=bb [11m23s] # write HTML #27236 ab:aa=1,bbbabbb=bb [11m23s] # write HTML #27239 ab:aa=1,bbbbbbb=bb [11m23s] # write HTML #27639 ab:aa=1,ababab=bab [11m23s] # write HTML #27641 ab:aa=1,ababab=bbb [11m23s] # write HTML #27647 ab:aa=1,ababba=bab [11m23s] # write HTML #27649 ab:aa=1,ababba=bbb [11m23s] # write HTML #27655 ab:aa=1,ababbb=bab [11m23s] # write HTML #27657 ab:aa=1,ababbb=bbb [11m23s] # write HTML #27671 ab:aa=1,abbabb=bab [11m23s] # write HTML #27673 ab:aa=1,abbabb=bbb [11m23s] # write HTML #27679 ab:aa=1,abbbab=bab [11m23s] # write HTML #27686 ab:aa=1,abbbba=bab [11m23s] # write HTML #27687 ab:aa=1,abbbba=bbb [11m23s] # write HTML #27693 ab:aa=1,abbbbb=bab [11m23s] # write HTML #27695 ab:aa=1,abbbbb=bbb [11m23s] # write HTML #27731 ab:aa=1,bababb=bab [11m23s] # write HTML #27733 ab:aa=1,bababb=bbb [11m23s] # write HTML #27738 ab:aa=1,babbab=bab [11m23s] # write HTML #27739 ab:aa=1,babbab=bbb [11m23s] # write HTML #27745 ab:aa=1,babbbb=bab [11m23s] # write HTML #27747 ab:aa=1,babbbb=bbb [11m23s] # write HTML #27759 ab:aa=1,bbabbb=bab [11m23s] # write HTML #27760 ab:aa=1,bbabbb=bba [11m23s] # write HTML #27761 ab:aa=1,bbabbb=bbb [11m23s] # write HTML #27766 ab:aa=1,bbbbbb=bab [11m23s] # write HTML #27767 ab:aa=1,bbbbbb=bbb [11m23s] # write HTML #28177 ab:aa=1,ababb=babb [11m23s] # write HTML #28179 ab:aa=1,ababb=bbab [11m23s] # write HTML #28181 ab:aa=1,ababb=bbbb [11m23s] # write HTML #28197 ab:aa=1,abbab=bbbb [11m23s] # write HTML #28223 ab:aa=1,abbbb=bbbb [11m23s] # write HTML #28259 ab:aa=1,babab=bbbb [11m23s] # write HTML #28270 ab:aa=1,babbb=baba [11m23s] # write HTML #28271 ab:aa=1,babbb=babb [11m23s] # write HTML #28273 ab:aa=1,babbb=bbab [11m23s] # write HTML #28275 ab:aa=1,babbb=bbbb [11m23s] # write HTML #28284 ab:aa=1,bbabb=babb [11m23s] # write HTML #28285 ab:aa=1,bbabb=bbbb [11m23s] # write HTML #28294 ab:aa=1,bbbbb=babb [11m23s] # write HTML #28295 ab:aa=1,bbbbb=bbbb [13m29s] # all done!